commit fe11cb980710e66625e570e601d30691cf2c126b parent 2cd3e23b58c6b895ca575fc7f7b77d21d1aeb55e Author: Davide P. Cervone <dpvc@union.edu> Date: Mon, 21 Mar 2011 10:55:40 -0400 Fix a bunch of documentation typos (from Carol Fisher) Diffstat:
29 files changed, 246 insertions(+), 254 deletions(-)
diff --git a/docs/html/_sources/community.txt b/docs/html/_sources/community.txt @@ -7,7 +7,7 @@ the wider community of MathJax users. The MathJax project maintains forums where users can ask questions about how to use MathJax, make suggestions about future features for MathJax, and present their own solutions to problems that they have faced. There is also a -bug-traking system where you can report errors that you have found +bug-tracking system where you can report errors that you have found with MathJax in your environment. @@ -26,7 +26,7 @@ place to find the examples you are looking for. If you want to discuss MathJax development, please use the `MathJax Dev Google Group <http://groups.google.com/group/mathjax-dev>`_. We made this group to discuss anything beyond what an end-user might be interested in, so if you -having any suggestions or questions about MathJax performance, technology, or +have any suggestions or questions about MathJax performance, technology, or design, feel free to submit it to the group. The community is only as good as the users who participate, so if @@ -46,7 +46,7 @@ and work hard to respond to problems quickly. Before you create a new issue, however, please search the issues to see if it has already been reported. You could also be using an outdated version of MathJax, so be sure to :ref:`upgrade your copy <getting-mathjax-git>` to verify -that the problem persists in the lastest version. +that the problem persists in the latest version. .. _badge: diff --git a/docs/html/_sources/mathml.txt b/docs/html/_sources/mathml.txt @@ -16,7 +16,7 @@ Because of MathJax's modular design, you do not need to use all three of these components. For example, you could use the `tex2jax` preprocessor and the TeX input processor, but the NativeMML output processor, so that your mathematics is entered in TeX format, but -displayed as MathML. Or you could use the `mml2jax` reprocessor and +displayed as MathML. Or you could use the `mml2jax` preprocessor and MathML input processor with the HTML-CSS output processor to make MathML available in browsers that don't have native MathML support. It is also possible to have MathJax select the output processor for @@ -42,7 +42,7 @@ even with a pure MathML workflow. MathML in HTML pages ==================== -For MathML that is handled via the pre-processor, you should not use +For MathML that is handled via the preprocessor, you should not use the named MathML entities, but rather use the numeric entities like ``√`` or unicode characters embedded in the page itself. The reason is that entities are replaced by the browser before MathJax @@ -87,7 +87,7 @@ The deficiencies include: ``msgroup``, ``msrow``, ``mscarries``, and ``mscarry``. - Limited support for line breaking (they are only allowed in direct - children of ``mrow`` or implied ``mrow`` elements. + children of ``mrow`` or implied ``mrow`` elements). - No support for alignment groups in table. diff --git a/docs/html/_sources/options/FontWarnings.txt b/docs/html/_sources/options/FontWarnings.txt @@ -23,76 +23,76 @@ would set the ``fadeoutTime`` option to 2000 milliseconds (2 seconds). .. describe:: messageStyle: { ... } - This sets the CSS styles to be used for the font warning message - window. See the ``extensions/FontWarnings.js`` file for details of - what are set by default. See the :ref:`CSS style objects - <css-style-objects>` for details about how to specify CSS styles - via javascript objects. + This sets the CSS styles to be used for the font warning message + window. See the ``extensions/FontWarnings.js`` file for details of + what are set by default. See the :ref:`CSS style objects + <css-style-objects>` for details about how to specify CSS styles + via javascript objects. .. describe:: Message: { ... } - This block contains HTML snippets to be used for the various - messages that the FontWarning extension can produce. There are - three messages that you can redefine to suit your needs: - - .. describe:: webFont: [ ... ] - - The message used for when MathJax uses web-based fonts (rather - than local fonts installed on the user's system). - - .. describe:: imageFonts: [ ... ] - - The message used for when MathJax must use image fonts rather - than local or web-based fonts (for those browsers that don't - handle the ``@font-face`` CSS directive). - - .. describe:: noFonts: [ ... ] - - The message used when MathJax is unable to find any font to use - (i.e., neither local nor web-based nor image-based fonts are - available). - - Any message that is set to ``null`` rather than an HTML snippet - array will not be presented to the user, so you can set, for - example, the ``webFont`` message to ``null`` in order to have the - ``imageFonts`` and ``noFonts`` messages, but no message if MathJax - uses web-based fonts. - - See the description of :ref:`HTML snippets <html-snippets>` for - details about how to describe the messages using HTML snippets. - Note that in addition to the usual rules for defining such - snippets, the FontWarnings snippets can include references to - pre-defined snippets (that represent elements common to all three - messages). These are defined below in the ``HTML`` block, and are - referenced using ``["name"]`` within the snippet, where `name` is - the name of one of the snippets defined in the ``HTML`` - configuration block. For example - - .. code-block:: javascript - - Message: { - noFonts: [ - ["closeBox"], - "MathJax is unable to locate a font to use to display ", - "its mathematics, and image fonts are not available, so it ", - "is falling back on generic unicode characters in hopes that ", - "your browser will be able to display them. Some characters ", - "may not show up properly, or possibly not at all.", - ["fonts"], - ["webfonts"] - ] - } - - refers to the ``closeBox``, ``fonts`` and ``webfonts`` snippets in + This block contains HTML snippets to be used for the various + messages that the FontWarning extension can produce. There are + three messages that you can redefine to suit your needs: + + .. describe:: webFont: [ ... ] + + The message used for when MathJax uses web-based fonts (rather + than local fonts installed on the user's system). + + .. describe:: imageFonts: [ ... ] + + The message used for when MathJax must use image fonts rather + than local or web-based fonts (for those browsers that don't + handle the ``@font-face`` CSS directive). + + .. describe:: noFonts: [ ... ] + + The message used when MathJax is unable to find any font to use + (i.e., neither local nor web-based nor image-based fonts are + available). + + Any message that is set to ``null`` rather than an HTML snippet + array will not be presented to the user, so you can set, for + example, the ``webFont`` message to ``null`` in order to have the + ``imageFonts`` and ``noFonts`` messages, but no message if MathJax + uses web-based fonts. + + See the description of :ref:`HTML snippets <html-snippets>` for + details about how to describe the messages using HTML snippets. + Note that in addition to the usual rules for defining such + snippets, the FontWarnings snippets can include references to + pre-defined snippets (that represent elements common to all three + messages). These are defined below in the ``HTML`` block, and are + referenced using ``["name"]`` within the snippet, where `name` is + the name of one of the snippets defined in the ``HTML`` + configuration block. For example + + .. code-block:: javascript + + Message: { + noFonts: [ + ["closeBox"], + "MathJax is unable to locate a font to use to display ", + "its mathematics, and image fonts are not available, so it ", + "is falling back on generic unicode characters in hopes that ", + "your browser will be able to display them. Some characters ", + "may not show up properly, or possibly not at all.", + ["fonts"], + ["webfonts"] + ] + } + + refers to the ``closeBox``, ``fonts`` and ``webfonts`` snippets declared in the ``HTML`` section. .. describe:: HTML: { ... } This object defines HTML snippets that are common to more than one - message in the ``Message`` section above. They can be called in - by using ``["name"]`` in an HTML snippet, where `name` refers to - the name of the snippet in the ``HTML`` block. The pre-defined - snippets are: + message in the ``Message`` section above. They can be included in + other HTML snippets by by using ``["name"]`` in an HTML snippet, + where `name` refers to the name of the snippet in the ``HTML`` + block. The pre-defined snippets are: .. describe:: closeBox diff --git a/docs/html/_sources/output.txt b/docs/html/_sources/output.txt @@ -32,8 +32,8 @@ in your document. The HTML-CSS output processor produces high-quality output in all major browsers, with results that are consistent across browsers and -operating systems. This is MathJax's primary output mode. It's major -advantage is its quality and consistency; it's drawback is that it is +operating systems. This is MathJax's primary output mode. Its major +advantage is its quality and consistency; its drawback is that it is slower than the NativeMML mode at rendering the mathematics. (The HTML-CSS processor has not yet been optimized for speed, so you can expect some improvement in the future. Note that IE8 in "IE8 @@ -77,7 +77,7 @@ are the configuration files that end in ``_HTMLorMML``. If you are doing your own configuration, there is a special configuration file that you can include that will choose between NativeMML and HTML-CSS depending on the browser in use. To invoke it, add ``"MMLorHTML.js"`` to -your configurations `config` array, and **do not** include an output +your configuration's `config` array, and **do not** include an output processor in your `jax` array; MathJax will fill that in for you based on the abilities of your user's browser. @@ -88,7 +88,7 @@ the abilities of your user's browser. You can customize which choice to make on a browser-by-browser basis or a global basis. See the ``config/default.js`` file or the -:ref:`Configuring MMLorHTML <configure-MMLorHTML>` section for futher +:ref:`Configuring MMLorHTML <configure-MMLorHTML>` section for further details. As an example, this configuration tells MathJax to use HTML-CSS output rather than native MathML support for Firefox: @@ -106,7 +106,7 @@ output rather than native MathML support for Firefox: With this configuration, MathML output will be used only for IE with the MathPlayer plugin (Firefox is the only other browser to have native MathML support that is sufficient for use with MathJax). Note, however, that a -user can employ the MathJax contectual menu to select the other renderer if +user can employ the MathJax contextual menu to select the other renderer if he or she wishes. MathJax produces MathML that models the underlying mathematics as best @@ -144,11 +144,11 @@ mode. You can accomplish this by including the line at the top of the ``<head>`` section of your HTML documents. This lets you keep the strict `DOCTYPE` for validation purposes, while -still managing to get reasonable perforance from Internet Explorer +still managing to get reasonable performance from Internet Explorer 8. Note that this line must come at the beginning of the ``<head>``, before any stylesheets or other content are loaded. -Altertnatively, you can use the `MMLorHTML` configuration file +Alternatively, you can use the `MMLorHTML` configuration file described above to select NativeMML output when possible, and request that your users install the `MathPlayer plugin <http://www.dessci.com/en/products/mathplayer/>`_, which will render diff --git a/docs/html/_sources/platforms/index.txt b/docs/html/_sources/platforms/index.txt @@ -21,7 +21,7 @@ Using MathJax in a Theme File Most web-based content-management systems include a theme or template layer that determines how the pages look, and that loads information common to all pages. Such theme files provide one popular way to -include MathJax in your web templates in the absense of +include MathJax in your web templates in the absence of MathJax-specific plugins for the system you are using. To take advantage of this approach, you will need access to your theme files, which probably means you need to be an administrator for the site; if @@ -64,8 +64,8 @@ theme/template only. If you change themes or update your theme, you will have to repeat these steps. -Insructions for Specific Platforms -================================== +Instructions for Specific Platforms +=================================== Some programs, such as WordPress and Moveable Type, allow you to edit template files from inside their administrator interfaces. Specific diff --git a/docs/html/_sources/platforms/movable-type.txt b/docs/html/_sources/platforms/movable-type.txt @@ -26,13 +26,13 @@ Using MathJax in Movable Type src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"> </script> - to load MathJax from our distributed netowrk service. + to load MathJax from our distributed network service. .. image:: ../images/mt_head.png 5. Save the file. This will enable MathJax with both TeX and MathML input, so you should be able to start adding mathematical content to - your pages. If you need to adjust the configuraiton, see + your pages. If you need to adjust the configuration, see :ref:`Configuring MathJax <loading>` for more details. diff --git a/docs/html/_sources/platforms/wordpress.txt b/docs/html/_sources/platforms/wordpress.txt @@ -38,5 +38,5 @@ better choice than editing the theme directly. 4. Save the file. This will enable MathJax with both TeX and MathML input, so you should be able to start adding mathematical content to - your pages. If you need to adjust the configuraiton, see + your pages. If you need to adjust the configuration, see :ref:`Configuring MathJax <loading>` for more details. diff --git a/docs/html/_sources/tex.txt b/docs/html/_sources/tex.txt @@ -39,7 +39,7 @@ you need a LaTeX-to-HTML converter, you should consider `other options TeX and LaTeX math delimiters ============================= -By default, the `tex2jax` preprocesor defines the LaTeX math delimiters, +By default, the `tex2jax` preprocessor defines the LaTeX math delimiters, which are ``\(...\)`` for in-line math, and ``\[...\]`` for displayed equations. It also defines the TeX delimiters ``$$...$$`` for displayed equations, but it does **not** define ``$...$`` as in-line math @@ -72,7 +72,7 @@ See the ``config/default.js`` file, or the :ref:`tex2jax configuration options <configure-tex2jax>` page, for additional configuration parameters that you can specify for the `tex2jax` preprocessor, which is the component of MathJax that identifies TeX notation within -the page). +the page. TeX and LaTeX in HTML documents @@ -86,7 +86,7 @@ Also, since the mathematics is initially given as text on the page, you need to be careful that your mathematics doesn't look like HTML tags to the browser (which parses the page before MathJax gets to see it). In particular, that means that you have to be careful about -things like less-than and greater-than signs (``<``and ``>``), and +things like less-than and greater-than signs (``<`` and ``>``), and ampersands (``&``), which have special meaning to the browsers. For example, @@ -99,10 +99,10 @@ beginning of a tag named ``y`` (even though there is no such tag in HTML). When this happens, the browser will think the tag continues up to the next ``>`` in the document (typically the end of the next actual tag in the HTML file), and you may notice that you are missing -part of the text of the document. In the example above, the `` we -have ...`` will not be displayed because the browser thinks it is +part of the text of the document. In the example above, the "``we +have ...``" will not be displayed because the browser thinks it is part of the tag starting at ``<y``. This is one indication you can -use to spot this prooblem; it is a common error and should be avoided. +use to spot this problem; it is a common error and should be avoided. Usually, it is sufficient to simply put spaces around these symbols to cause the browser to avoid them, so @@ -261,7 +261,7 @@ the paragraph, use } } -You may also wish to set the font family, as the default is "serif" +You may also wish to set the font family, as the default is "serif". noUndefined @@ -269,13 +269,13 @@ noUndefined The `noUndefined` extension causes undefined control sequences to be shown as their macro names rather than generating error messages. So -``$X_{\xxx}$`` would display as an "X" with a subscript consiting of the +``$X_{\xxx}$`` would display as an "X" with a subscript consisting of the text ``\xxx`` in red. This extension is loaded by all the combined configuration files that include the TeX input processor. To enable the `noUndefined` extension in your own configuration, or to modify its parameters, add something like -the following ro your :meth:`MathJax.Hub.Config()` call: +the following to your :meth:`MathJax.Hub.Config()` call: .. code-block:: javascript @@ -899,7 +899,6 @@ N \nolimits \normalsize \not - \notag AMSmath \notag [AMSmath] \notin \nparallel AMSsymbols @@ -1119,7 +1118,6 @@ T .. code-block:: latex - \tag AMSmath \tag [AMSmath] \tan \tanh @@ -1273,7 +1271,7 @@ Environments ------------ LaTeX environments of the form ``\begin{XXX} ... \end{XXX}`` are -preovided where ``XXX`` is one of the following: +provided where ``XXX`` is one of the following: .. code-block:: latex diff --git a/docs/html/_sources/upgrade.txt b/docs/html/_sources/upgrade.txt @@ -59,7 +59,7 @@ details. If your page simply loads ``MathJax.js`` and relies on ``config/MathJax.js``, then you will need to modify your ``<script>`` tag in order to use MathJax v1.1. This is because MathJax no longer loads a -default configuration file; you are required to explicity specify the +default configuration file; you are required to explicitly specify the configuration file if you use one. Furthermore, the name of the ``config/MathJax.js`` file was a source of confusion, so it has been renamed ``config/default.js`` instead. Thus, if you used @@ -163,7 +163,7 @@ Of course, you can load any configuration file that you wish, or use a The use of ``cdn.mathjax.org`` is governed by its `terms of service <http://www.mathjax.org/download/mathjax-cdn-terms-of-service/>`_, so be -sure to read that before linked to the MathJax CDN server. +sure to read that before linking to the MathJax CDN server. Change in default TeX delimiters @@ -255,5 +255,5 @@ development continues. We apologize for the inconvenience of having to switch distributions, but the git-to-svn bridge we tried to implement to keep both copies in synch -turned out to be unreliable, and so the SourceForge disrtibution was -retired in favor of the GitHub site. -\ No newline at end of file +turned out to be unreliable, and so the SourceForge distribution was +retired in favor of the GitHub site. diff --git a/docs/html/community.html b/docs/html/community.html @@ -56,7 +56,7 @@ the wider community of MathJax users. The MathJax project maintains forums where users can ask questions about how to use MathJax, make suggestions about future features for MathJax, and present their own solutions to problems that they have faced. There is also a -bug-traking system where you can report errors that you have found +bug-tracking system where you can report errors that you have found with MathJax in your environment.</p> <div class="section" id="forums"> <span id="community-forums"></span><h2>Forums<a class="headerlink" href="#forums" title="Permalink to this headline">¶</a></h2> @@ -68,7 +68,7 @@ place to find the examples you are looking for.</p> <p>If you want to discuss MathJax development, please use the <a class="reference external" href="http://groups.google.com/group/mathjax-dev">MathJax Dev Google Group</a>. We made this group to discuss anything beyond what an end-user might be interested in, so if you -having any suggestions or questions about MathJax performance, technology, or +have any suggestions or questions about MathJax performance, technology, or design, feel free to submit it to the group.</p> <p>The community is only as good as the users who participate, so if you have something to offer, please take time to make a post on one of @@ -81,7 +81,7 @@ and work hard to respond to problems quickly.</p> <p>Before you create a new issue, however, please search the issues to see if it has already been reported. You could also be using an outdated version of MathJax, so be sure to <a class="reference internal" href="installation.html#getting-mathjax-git"><em>upgrade your copy</em></a> to verify -that the problem persists in the lastest version.</p> +that the problem persists in the latest version.</p> </div> <div class="section" id="powered-by-mathjax"> <span id="badge"></span><h2>“Powered by MathJax”<a class="headerlink" href="#powered-by-mathjax" title="Permalink to this headline">¶</a></h2> diff --git a/docs/html/index.html b/docs/html/index.html @@ -121,7 +121,7 @@ MathML that works in all modern browsers.</p> </li> </ul> <hr class="docutils" /> -<p>This version of the documentation was built March 09, 2011.</p> +<p>This version of the documentation was built March 21, 2011.</p> </div> </div> diff --git a/docs/html/mathml.html b/docs/html/mathml.html @@ -62,7 +62,7 @@ that it can be displayed by the browser’s native MathML support.</p> of these components. For example, you could use the <cite>tex2jax</cite> preprocessor and the TeX input processor, but the NativeMML output processor, so that your mathematics is entered in TeX format, but -displayed as MathML. Or you could use the <cite>mml2jax</cite> reprocessor and +displayed as MathML. Or you could use the <cite>mml2jax</cite> preprocessor and MathML input processor with the HTML-CSS output processor to make MathML available in browsers that don’t have native MathML support. It is also possible to have MathJax select the output processor for @@ -84,7 +84,7 @@ the source markup, and so on, so there is added value to using MathJax even with a pure MathML workflow.</p> <div class="section" id="mathml-in-html-pages"> <h2>MathML in HTML pages<a class="headerlink" href="#mathml-in-html-pages" title="Permalink to this headline">¶</a></h2> -<p>For MathML that is handled via the pre-processor, you should not use +<p>For MathML that is handled via the preprocessor, you should not use the named MathML entities, but rather use the numeric entities like <tt class="docutils literal"><span class="pre">&#x221A;</span></tt> or unicode characters embedded in the page itself. The reason is that entities are replaced by the browser before MathJax @@ -122,7 +122,7 @@ coming.</p> <li>No support for the elementary math tags: <tt class="docutils literal"><span class="pre">mstack</span></tt>, <tt class="docutils literal"><span class="pre">mlongdiv</span></tt>, <tt class="docutils literal"><span class="pre">msgroup</span></tt>, <tt class="docutils literal"><span class="pre">msrow</span></tt>, <tt class="docutils literal"><span class="pre">mscarries</span></tt>, and <tt class="docutils literal"><span class="pre">mscarry</span></tt>.</li> <li>Limited support for line breaking (they are only allowed in direct -children of <tt class="docutils literal"><span class="pre">mrow</span></tt> or implied <tt class="docutils literal"><span class="pre">mrow</span></tt> elements.</li> +children of <tt class="docutils literal"><span class="pre">mrow</span></tt> or implied <tt class="docutils literal"><span class="pre">mrow</span></tt> elements).</li> <li>No support for alignment groups in table.</li> <li>No support for right-to-left rendering.</li> </ul> diff --git a/docs/html/options/FontWarnings.html b/docs/html/options/FontWarnings.html @@ -119,32 +119,32 @@ messages). These are defined below in the <tt class="docutils literal"><span cl referenced using <tt class="docutils literal"><span class="pre">["name"]</span></tt> within the snippet, where <cite>name</cite> is the name of one of the snippets defined in the <tt class="docutils literal"><span class="pre">HTML</span></tt> configuration block. For example</p> -<div class="highlight-javascript"><pre> Message: { - noFonts: [ - ["closeBox"], - "MathJax is unable to locate a font to use to display ", - "its mathematics, and image fonts are not available, so it ", - "is falling back on generic unicode characters in hopes that ", - "your browser will be able to display them. Some characters ", - "may not show up properly, or possibly not at all.", - ["fonts"], - ["webfonts"] - ] - } - -refers to the ``closeBox``, ``fonts`` and ``webfonts`` snippets in -declared in the ``HTML`` section.</pre> +<div class="highlight-javascript"><div class="highlight"><pre><span class="nx">Message</span><span class="o">:</span> <span class="p">{</span> + <span class="nx">noFonts</span><span class="o">:</span> <span class="p">[</span> + <span class="p">[</span><span class="s2">"closeBox"</span><span class="p">],</span> + <span class="s2">"MathJax is unable to locate a font to use to display "</span><span class="p">,</span> + <span class="s2">"its mathematics, and image fonts are not available, so it "</span><span class="p">,</span> + <span class="s2">"is falling back on generic unicode characters in hopes that "</span><span class="p">,</span> + <span class="s2">"your browser will be able to display them. Some characters "</span><span class="p">,</span> + <span class="s2">"may not show up properly, or possibly not at all."</span><span class="p">,</span> + <span class="p">[</span><span class="s2">"fonts"</span><span class="p">],</span> + <span class="p">[</span><span class="s2">"webfonts"</span><span class="p">]</span> + <span class="p">]</span> +<span class="p">}</span> +</pre></div> </div> +<p>refers to the <tt class="docutils literal"><span class="pre">closeBox</span></tt>, <tt class="docutils literal"><span class="pre">fonts</span></tt> and <tt class="docutils literal"><span class="pre">webfonts</span></tt> snippets +declared in the <tt class="docutils literal"><span class="pre">HTML</span></tt> section.</p> </dd></dl> <dl class="describe"> <dt> <tt class="descname">HTML: { ... }</tt></dt> <dd><p>This object defines HTML snippets that are common to more than one -message in the <tt class="docutils literal"><span class="pre">Message</span></tt> section above. They can be called in -by using <tt class="docutils literal"><span class="pre">["name"]</span></tt> in an HTML snippet, where <cite>name</cite> refers to -the name of the snippet in the <tt class="docutils literal"><span class="pre">HTML</span></tt> block. The pre-defined -snippets are:</p> +message in the <tt class="docutils literal"><span class="pre">Message</span></tt> section above. They can be included in +other HTML snippets by by using <tt class="docutils literal"><span class="pre">["name"]</span></tt> in an HTML snippet, +where <cite>name</cite> refers to the name of the snippet in the <tt class="docutils literal"><span class="pre">HTML</span></tt> +block. The pre-defined snippets are:</p> <dl class="describe"> <dt> <tt class="descname">closeBox</tt></dt> diff --git a/docs/html/output.html b/docs/html/output.html @@ -74,8 +74,8 @@ For example</p> in your document.</p> <p>The HTML-CSS output processor produces high-quality output in all major browsers, with results that are consistent across browsers and -operating systems. This is MathJax’s primary output mode. It’s major -advantage is its quality and consistency; it’s drawback is that it is +operating systems. This is MathJax’s primary output mode. Its major +advantage is its quality and consistency; its drawback is that it is slower than the NativeMML mode at rendering the mathematics. (The HTML-CSS processor has not yet been optimized for speed, so you can expect some improvement in the future. Note that IE8 in “IE8 @@ -113,7 +113,7 @@ are the configuration files that end in <tt class="docutils literal"><span class <p>If you are doing your own configuration, there is a special configuration file that you can include that will choose between NativeMML and HTML-CSS depending on the browser in use. To invoke it, add <tt class="docutils literal"><span class="pre">"MMLorHTML.js"</span></tt> to -your configurations <cite>config</cite> array, and <strong>do not</strong> include an output +your configuration’s <cite>config</cite> array, and <strong>do not</strong> include an output processor in your <cite>jax</cite> array; MathJax will fill that in for you based on the abilities of your user’s browser.</p> <div class="highlight-javascript"><div class="highlight"><pre><span class="nx">config</span><span class="o">:</span> <span class="p">[</span><span class="s2">"MMLorHTML.js"</span><span class="p">],</span> @@ -122,7 +122,7 @@ the abilities of your user’s browser.</p> </div> <p>You can customize which choice to make on a browser-by-browser basis or a global basis. See the <tt class="docutils literal"><span class="pre">config/default.js</span></tt> file or the -<a class="reference internal" href="options/MMLorHTML.html#configure-mmlorhtml"><em>Configuring MMLorHTML</em></a> section for futher +<a class="reference internal" href="options/MMLorHTML.html#configure-mmlorhtml"><em>Configuring MMLorHTML</em></a> section for further details. As an example, this configuration tells MathJax to use HTML-CSS output rather than native MathML support for Firefox:</p> <div class="highlight-html"><div class="highlight"><pre><span class="nt"><script </span><span class="na">type=</span><span class="s">"text/x-mathjax-config"</span><span class="nt">></span> @@ -138,7 +138,7 @@ output rather than native MathML support for Firefox:</p> <p>With this configuration, MathML output will be used only for IE with the MathPlayer plugin (Firefox is the only other browser to have native MathML support that is sufficient for use with MathJax). Note, however, that a -user can employ the MathJax contectual menu to select the other renderer if +user can employ the MathJax contextual menu to select the other renderer if he or she wishes.</p> <p>MathJax produces MathML that models the underlying mathematics as best it can, rather than using complicated hacks to improve output for a @@ -168,10 +168,10 @@ mode. You can accomplish this by including the line</p> </div> <p>at the top of the <tt class="docutils literal"><span class="pre"><head></span></tt> section of your HTML documents. This lets you keep the strict <cite>DOCTYPE</cite> for validation purposes, while -still managing to get reasonable perforance from Internet Explorer +still managing to get reasonable performance from Internet Explorer 8. Note that this line must come at the beginning of the <tt class="docutils literal"><span class="pre"><head></span></tt>, before any stylesheets or other content are loaded.</p> -<p>Altertnatively, you can use the <cite>MMLorHTML</cite> configuration file +<p>Alternatively, you can use the <cite>MMLorHTML</cite> configuration file described above to select NativeMML output when possible, and request that your users install the <a class="reference external" href="http://www.dessci.com/en/products/mathplayer/">MathPlayer plugin</a>, which will render the mathematics much more quickly.</p> diff --git a/docs/html/platforms/index.html b/docs/html/platforms/index.html @@ -63,7 +63,7 @@ use MathJax by modifying the theme or template for your wiki or blog.</p> <p>Most web-based content-management systems include a theme or template layer that determines how the pages look, and that loads information common to all pages. Such theme files provide one popular way to -include MathJax in your web templates in the absense of +include MathJax in your web templates in the absence of MathJax-specific plugins for the system you are using. To take advantage of this approach, you will need access to your theme files, which probably means you need to be an administrator for the site; if @@ -98,8 +98,8 @@ the file if it contains no <tt class="docutils literal"><span class="pre"></h theme/template only. If you change themes or update your theme, you will have to repeat these steps.</p> </div> -<div class="section" id="insructions-for-specific-platforms"> -<h2>Insructions for Specific Platforms<a class="headerlink" href="#insructions-for-specific-platforms" title="Permalink to this headline">¶</a></h2> +<div class="section" id="instructions-for-specific-platforms"> +<h2>Instructions for Specific Platforms<a class="headerlink" href="#instructions-for-specific-platforms" title="Permalink to this headline">¶</a></h2> <p>Some programs, such as WordPress and Moveable Type, allow you to edit template files from inside their administrator interfaces. Specific instructions for these are given via the links below.</p> @@ -122,7 +122,7 @@ instructions for these are given via the links below.</p> <ul> <li><a class="reference internal" href="#">Using MathJax in popular web platforms</a><ul> <li><a class="reference internal" href="#using-mathjax-in-a-theme-file">Using MathJax in a Theme File</a></li> -<li><a class="reference internal" href="#insructions-for-specific-platforms">Insructions for Specific Platforms</a><ul> +<li><a class="reference internal" href="#instructions-for-specific-platforms">Instructions for Specific Platforms</a><ul> </ul> </li> </ul> diff --git a/docs/html/platforms/movable-type.html b/docs/html/platforms/movable-type.html @@ -75,14 +75,14 @@ and open the <cite>HTML Head</cite> template.</p> <span class="nt"></script></span> </pre></div> </div> -<p>to load MathJax from our distributed netowrk service.</p> +<p>to load MathJax from our distributed network service.</p> <blockquote> <div><img alt="../_images/mt_head.png" src="../_images/mt_head.png" /> </div></blockquote> </li> <li><p class="first">Save the file. This will enable MathJax with both TeX and MathML input, so you should be able to start adding mathematical content to -your pages. If you need to adjust the configuraiton, see +your pages. If you need to adjust the configuration, see <a class="reference internal" href="../configuration.html#loading"><em>Configuring MathJax</em></a> for more details.</p> </li> </ol> diff --git a/docs/html/platforms/wordpress.html b/docs/html/platforms/wordpress.html @@ -84,7 +84,7 @@ bottom of the file.</p> </li> <li><p class="first">Save the file. This will enable MathJax with both TeX and MathML input, so you should be able to start adding mathematical content to -your pages. If you need to adjust the configuraiton, see +your pages. If you need to adjust the configuration, see <a class="reference internal" href="../configuration.html#loading"><em>Configuring MathJax</em></a> for more details.</p> </li> </ol> diff --git a/docs/html/searchindex.js b/docs/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({objects:{"":{Load:[0,0,1],Preloading:[0,0,1],Log:[17,0,1],Subclass:[37,0,1],Delay:[27,0,1],Init:[37,0,1],getAllJax:[36,0,1],Interest:[28,0,1],Translate:[38,0,1],Config:[36,0,1],addElement:[11,0,1],Styles:[0,0,1],ExecuteHook:[28,0,1],loadTimeout:[0,0,1],Resume:[16,0,1],Update:[36,0,1],loadComplete:[0,0,1],loadHook:[0,0,1],formatError:[36,0,1],call:[16,0,1],getJaxByInputType:[36,0,1],PreProcess:[36,0,1],fileURL:[0,0,1],has:[37,0,1],Signal:[27,0,1],Insert:[36,0,1],addText:[11,0,1],TextNode:[11,0,1],Augment:[37,0,1],loadError:[0,0,1],Clear:[17,0,1],Register:[38,0,1],Remove:[17,0,1],Element:[11,0,1],Queue:[27,0,1],NoInterest:[28,0,1],Set:[17,0,1],getJaxByType:[36,0,1],Push:[16,0,1],Typeset:[36,0,1],Post:[28,0,1],wait:[16,0,1],reset:[27,0,1],Suspend:[16,0,1],executeHooks:[27,0,1],Process:[36,0,1],Text:[49,0,1],setText:[11,0,1],Reprocess:[36,0,1],Startup:[38,0,1],SourceElement:[49,0,1],getJaxFor:[36,0,1],can:[37,0,1],File:[17,0,1],MessageHook:[28,0,1],isJax:[36,0,1],filterText:[17,0,1],isa:[37,0,1],Require:[0,0,1]}},terms:{lvertneqq:45,reprocess:[36,49,47],mathjax_msie_fram:17,four:[53,13],prefix:[11,19,14],asymp:45,blacktriangledown:45,webfont:[6,41,19],whose:[11,7,47,5,30,36,23],biggr:45,under:[40,34],preprocess:[51,36,29,47],slowest:50,worth:7,digit:14,gimel:45,everi:[18,36,14,7],mskip:45,arcco:45,govern:[19,13,7],dotplu:45,affect:[13,34,14,45,36,49,25],isforefox:36,bbfont:[],eqnarrai:45,cmd:21,bigodot:45,ominu:45,red:[45,19,44],categori:53,nparallel:45,showcontext:46,nsubseteqq:45,direct:[41,6,13,40,34],consequ:20,second:[0,13,34,27,30,44,53,48,5,6,40,21,18,10,7,23,3],ngeq:45,even:[0,40,27,30,16,45,2,48,47,39,19,44,7,18,22,51,36,28,53],hide:47,prejax:[51,21],neg:45,weren:13,multlinewidth:24,"new":[29,4,11,12,13,14,17,18,19,24,22,23,25,27,36,10,7,37,28,34,49,53,46,47,48,51],mhtml:1,told:48,limsup:45,elimin:21,abov:[11,45,13,41,14,27,19,53,2,47,5,6,21,30,50,34,7,37],lessapprox:45,blacktriangleright:45,here:[11,28,31,27,30,53,2,47,18,19,38,21,36,49],met:29,lneqq:45,path:[39,0,7,19],noundefin:[39,19,45],interpret:[45,19,34],nrightarrow:45,netowrk:35,forum:[19,4],mbox:45,rceil:45,backprim:45,uproot:45,circleddash:45,mathstrut:45,unix:34,brower:45,thinmathspac:[19,40],unit:14,highli:22,describ:[11,45,13,34,27,19,43,3,29,47,39,6,44,7,30,50,51,36],would:[39,6,9,11,5,13,16,19,20,21,49,24,26,27,30,36,32,33,34,7,37,45,41,42,44,53,46,47,50,51,52,3],bleed:14,vartriangl:45,ltime:45,varlambda:45,call:[0,1,2,45,6,7,9,13,16,17,18,19,20,21,23,24,25,26,27,28,30,33,34,10,36,37,38,5,41,42,43,49,53,46,47,48,51,52],recommend:[19,51,34,50],diretori:[],preview:[5,42,51,26,21],type:[0,1,2,39,8,10,11,5,13,18,19,38,21,23,36,32,35,7,45,40,49,53,47,48,50,51],until:[0,26,28,53,5,30,38,21,7,18,42,36],notin:45,displaymath:[5,7],relat:[0,14],notic:45,warn:[0,13,21,6],eqslantless:45,hold:[0,44,21,33,51,36],unpack:[19,34],must:[0,13,41,19,43,16,45,29,7,17,5,6,50,24,21,33,48,34,40,28,3],fbox:[45,14],join:[18,45],room:24,setup:[22,19,40],work:[11,12,13,34,14,30,45,2,4,47,18,19,40,32,48,22,50,7,37],cc0000:[3,21],tag_nam:34,root:[0,14,29,17,45,7],overrid:[37,6,10,38,23],mathmenu:[41,3,46,39,20,7,25],give:[28,41,19,44,3,2,18,6,24,7,25],cirit:7,indic:[0,7,34,30,16,45,29,18,19,28,38,21,49,10,36,23,51],impair:[22,7],hline:45,want:[4,39,5,13,15,17,18,19,21,23,27,30,34,35,7,37,45,41,53,47,50,52],setminu:45,end:[0,40,14,1,50,45,29,4,5,7,8,18,35,39,53],quot:[5,41,14,21],hom:45,heartsuit:45,how:[0,1,2,4,45,6,8,5,13,16,17,19,20,21,26,27,28,42,36,32,33,34,7,39,41,44,46,48,51],disappear:[5,42,26],answer:[4,47],verifi:[19,34,4],config:[1,29,39,6,7,8,9,10,5,13,17,18,19,20,21,23,24,25,26,2,30,32,33,35,36,38,45,41,42,53,46,47,50,52,3],varrho:45,updat:[36,34,14,1,53,47,13,7,49],showrender:46,recogn:19,lai:[50,51],diagdown:45,after:[0,41,27,30,16,53,2,46,17,18,19,38,21,47,48,34,51,7,28,25],befor:[0,1,29,4,45,8,13,16,17,18,19,24,21,27,28,30,36,33,7,37,38,5,40,41,43,44,53,47,48,50,51],wrong:40,startuphook:[18,36],parallel:[45,53,29,14],averag:51,alignedat:45,attempt:[0,40,46],third:[53,40],leftarrow:45,receiv:[28,13,34,30,18,19,38,48,7,37],greasekit:2,maintain:[13,48,4,18,30,21],environ:[5,19,45,24,4],enter:[40,47,45,19,51,7],textnod:11,order:[28,13,34,19,43,16,53,29,7,17,5,6,26,21,30,50,42,36,37,51],oper:[0,5,6,9,14,16,17,18,20,22,24,26,42,33,34,38,28,31,41,30,43,53,46,47,50,52],parentnod:[2,14],over:[11,0,41,14,45,46,47,39,19,21,33,51,7],fall:[45,6,53,34,19],becaus:[18,13,41,30,44,45,2,17,5,19,24,7,51,40,28,53,47],boxtim:45,suspend:[18,16,53,28],textrm:45,appar:[50,53],afil:30,flexibl:[44,53,13],vari:50,smallint:45,fit:[18,46],fix:[13,34,14,7],preferredfont:41,better:[14,46,39,19,32,8,50,7],boxminu:45,drawback:50,upharpoonleft:45,persist:4,comprehens:43,easier:[28,13,34,53,45,40,37],moveleft:45,them:[11,0,13,34,14,39,19,16,45,40,3,5,6,24,7,30,18,51,36,28,53],thei:[0,2,4,45,6,7,9,5,13,14,15,16,17,18,19,20,21,24,25,26,28,29,30,33,34,36,38,39,40,41,42,43,44,53,46,47,48,51,52,3],precapprox:45,safe:[11,2,47],"break":[45,48,53,40,14],mtext:[45,19,14],wedg:45,widetild:45,choic:[50,36,8],dbinom:45,leftharpoondown:45,timeout:[0,14,27],each:[39,7,34,27,28,45,29,48,17,5,19,47,18,51,36,53],debug:17,side:[19,17,24,21,8],mean:[39,13,1,28,15,29,45,2,48,47,5,30,26,21,18,22,42,7],leqq:45,createel:2,resum:[16,53],leqalignno:45,mathopen:45,looparrowleft:45,network:[13,34,14,39,19,7],goe:[45,48,53],iint:45,newli:[11,18,37],crucial:34,ios4:14,content:[1,29,39,8,10,11,13,14,19,44,21,2,36,35,7,37,5,40,43,53,47,50,51],reader:[39,22,7,14],forth:31,impract:34,multilin:45,situat:[7,14],free:[49,4],standard:[18,34,43,45,39,19,22,50,51,7,3],reconfigur:13,lneq:45,angl:45,jsmath2jax:[26,14,25,32],isn:[18,38],mtabl:39,pulicis:28,isa:37,subtl:47,onto:[43,19,53,36,47],mathbb:45,rang:51,mathbf:45,render:[40,14,29,46,5,19,21,22,50,51,52,32],independ:7,yourcolleg:34,restrict:[45,34],hook:[18,0,27,28],unlik:[22,7,38],alreadi:[0,27,47,45,2,4,17,18,30,48,7,37,53],primari:[50,13],tooltop:41,top:[31,34,45,19,50,7],sometim:[7,34],underlin:[45,14],master:48,too:[45,41,14,2,5,19],similarli:[0,36,34],john:30,listen:[18,28,36,27],thickapprox:45,namespac:[19,2,14,27,47],tool:[53,34],tagind:24,embellish:14,gtrless:45,compressor:14,somewhat:48,technic:43,past:[28,13,14,18,48,22],filesmatch:34,provid:[11,0,40,27,1,30,16,45,17,18,19,28,44,47,48,22,51,36,37,53],eqalignno:45,tree:[19,44],iota:45,project:[43,7,4],matter:[18,32],mathtt:45,ldotp:45,modern:[22,6,50,12],mind:[45,19,7,1],manner:50,increment:16,seem:[30,40],rightrightarrow:45,ldot:45,ngeqq:45,latter:[18,44,51,7,25],curvearrowleft:45,simplifi:14,though:[27,45,48,44,21,51],object:[0,29,6,11,12,15,16,17,18,20,21,23,25,27,30,33,10,36,37,38,28,31,41,43,44,53,46,47,48,49,51,3],gzip:14,regular:[5,21],letter:[19,34],grave:45,don:[13,14,30,53,2,47,18,6,40,7,50,36],dom:[11,49,53,47,18,48,38,21,36,23],doe:[45,40,34,27,52,49,2,18,30,20,21,7,22,50,10,36,23,51],declar:[40,41,3,46,6,20,33],tfrac:45,unchang:[13,52,47],section:[2,39,6,9,5,13,14,20,21,24,25,26,30,36,32,33,35,7,45,40,41,42,46,50,52],came:34,delaystartupuntil:[36,29,21,7],random:[19,34],lnapprox:45,syntax:[45,37,14],mediawiki:1,isopera:36,outerhtml:14,shownam:30,asynchon:47,involv:[48,7,4],consolid:22,layout:49,firstnam:30,mathchoic:45,ismsi:[36,29],menu:[12,40,41,14,50,29,46,39,20,21,33,8,34,35,49,51],explain:[39,48,13,7,25],configur:[0,29,39,6,7,8,9,10,12,13,14,17,18,19,20,21,22,23,24,25,26,2,30,32,33,34,35,36,38,5,40,41,42,44,45,50,51,52],apach:34,configut:44,reflow:14,theme:[7,1,8],explic:13,rich:22,folder:[19,41,34],compli:[],infti:[45,51],mho:45,report:[40,21,4],circeq:45,subseteq:45,fadeouttim:6,bar:[45,37,27],patch:[7,34],reload:46,bad:14,replacechild:2,neq:45,respond:[28,21,4],dashrightarrow:45,scriptscriptstyl:45,precneqq:45,result:[13,41,27,30,49,53,47,45,19,40,7,50,10,36,23,51],respons:[28,10,14,27],fail:[0,14,30,38,50,25],themselv:[19,36,29,44,31],best:[0,13,34,53,50,51,7],awar:[45,0,53,40],subarrai:45,varinjlim:45,wikipedia:[43,2],circledcirc:45,gneqq:45,awai:[7,34],approach:[30,51,1,47],attribut:[11,14,3,45,42,44,51,7],never:[34,0,7,2,38],extend:[22,51],synchon:18,extens:[0,29,39,6,5,13,14,18,19,24,21,25,26,2,42,36,32,33,7,38,45,31,43,53,46,47,3],preprocessor:[39,13,42,45,40,29,31,5,19,26,21,7,51,36,47,25,32],intop:45,cot:45,cow:37,howev:[13,34,30,29,53,2,4,17,45,19,21,47,50,51,7,37,3,25],configuraiton:[35,8],against:28,browser:[29,39,6,11,12,5,13,14,19,20,21,22,49,25,2,36,31,32,34,7,45,40,41,43,46,48,50,51,52],com:[7,34],varpsi:45,preccurlyeq:45,foral:45,foobar:37,sai:[16,2,27],innerhtml:[2,47],height:[45,14,46],wider:4,sqsupset:45,speak:[15,51],chrome:[41,36,2,14,50],three:[40,34,27,30,44,53,6,38,48,51],been:[0,2,4,5,13,16,17,18,19,38,23,27,29,30,32,10,7,28,34,53,47,48,50],trigger:[39,50,7,21,33],interest:[18,28,43,4,48],basic:12,tini:45,quickli:[22,50,7,4],underrightarrow:45,regul:53,xxx:45,ani:[0,2,4,45,6,7,9,5,13,16,17,18,19,20,21,49,24,26,27,28,29,30,33,34,36,37,39,40,41,42,53,46,47,48,50,52],embelish:[],emploi:[43,50],hskip:45,tanh:45,servic:[13,34,14,19,35,7],avtiv:[],diamondsuit:45,sourceforg:13,javascipt:19,dashboard:35,suffici:[45,19,24,52,50],"3px":3,succeq:45,canb:[],lightli:50,nexist:45,cong:45,sever:[0,13,34,45,47,39,30,51,23,53],amout:17,incorrectli:[19,13,14],perform:[29,4,6,13,14,16,17,18,38,21,49,27,30,36,7,28,31,43,53,47,48,50],suggest:[6,4],make:[0,4,45,6,13,14,15,16,18,19,21,22,26,42,36,34,7,37,5,40,41,53,46,47,48,50,51,3],format:[12,13,41,43,44,45,39,19,20,21,49,22,50,10,40,23,51],complex:[50,44],split:45,synch:13,lrcorner:45,unsafewindow:2,complet:[0,13,34,27,30,43,16,53,29,48,47,39,19,38,21,7,18,50,36,28,49],longmapsto:45,hand:[31,17,24,21,51,40,32],fairli:[44,13],rais:[45,14],mkern:45,ignorepast:28,unlhd:45,techniqu:[13,2],redefin:[6,10,38,23],kept:18,thu:[13,27,53,18,30,49],inherit:[15,37,10,23,49],client:41,thi:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,39,15,16,17,18,19,24,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,20,40,41,42,44,45,46,47,48,49,50,51,52,53],idotsint:45,programm:37,everyth:[39,45,53,36,7],settimeout:[30,27],left:[40,34,31,29,17,45,48,24,21,8,35,25],processclass:5,identifi:[11,19,45,51,28],just:[45,40,34,27,1,30,53,39,19,21,8,22,51,7,28,3],yen:45,mathbin:45,coprod:45,yet:[40,16,53,47,18,48,50],languag:[43,48,51],noscript:5,onload:[31,2,29,30,21,7],errorset:[39,21],easi:[34,32],interfer:[39,7],had:[18,19,13,7],myconfig:[18,30],els:[30,2,47],save:[35,7,3,8],hat:45,jsmath:[12,51,32],sanit:17,applic:[22,19,29,1],loadtimeout:0,quirk:50,preserv:30,assit:[],negativethinmathspac:50,background:[45,3,14],sqsubset:45,specif:[0,7,1,27,28,43,16,53,31,5,30,38,21,47,50,51,36,49],deprec:7,arbitrari:45,zoom:[12,40,14,39,21,33,7],leftrightarrow:45,underli:50,www:[34,2,46],right:[40,41,43,16,53,2,17,45,20,21,8,34,51,7,24,25],old:18,simbl:2,deal:50,autobold:45,surd:[45,14],percentag:[20,41,21],donald:43,successfulli:[0,30],interc:45,dddot:45,bottom:[7,8],subclass:[28,31,23,38,49,10,37],circ:45,exectur:28,overcom:[48,50],condit:[0,29],getjaxfor:[18,36,23],core:[53,29,45,21,51,36,25],plu:[39,28,29],bold:[45,44,24,25],confiogur:[],mathrel:45,colleg:34,repositori:[13,34,14],post:[28,41,29,4,17,18,48,38],"super":[37,14],llless:45,obj:11,nwarrow:45,slightli:[45,8],surround:[19,20,41],unfortun:[19,34],current_theme_templ:1,joomla:1,span:[26,5,42,44,21,51,32],downharpoonright:45,produc:[6,13,18,19,20,21,22,49,24,25,27,30,32,10,7,28,41,23,46,47,50,51],encod:45,contectu:50,rightsquigarrow:45,down:[35,34,21],shortparallel:45,wrap:37,stackrel:45,nsupseteq:45,git:[19,13,34,14],wai:[18,13,34,27,1,30,53,2,17,5,19,51,26,21,47,50,42,7,28,38],checkmark:45,transform:51,ngtr:45,avail:[0,1,5,6,13,18,19,20,21,22,49,26,42,34,7,37,40,41,53,46,47,50,51],width:[40,46,45,19,24,50],reli:[0,13,53,2,47,30,20,50],wordpress:[1,8],editor:8,rightthreetim:45,head:[1,2,47,19,8,50,35,7],form:[40,41,43,17,45,19,24,21,51,7],offer:[13,14,4],forc:[7,41],epsilon:45,hear:[18,28],downdownarrow:45,"true":[45,13,41,27,28,29,46,31,5,20,21,7,9,36,37],vcenter:45,maxmacro:24,reset:[46,27],absens:1,displayalign:21,intern:[0,40,28,43,16,53,45,21,50,10,36,23,51],tell:[34,2,47,19,50,7],moveright:45,retir:13,nnn:34,featur:[12,40,34,4,47,18,30,33,50,37],rfloor:45,sale:[],exist:[45,19,37,34,27],ddot:45,backsim:45,triangleq:45,check:[0,13,34,30,17,45,19,28,37],recevi:[],when:[0,29,39,6,7,8,9,5,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,10,36,37,38,45,40,41,42,43,44,53,46,47,48,49,50,51,52],abovewithdelim:45,role:51,test:[11,12,13,34,48,29,2,47,18,19,40,7,50,36,37],tie:[29,27],smallsmil:45,node:11,mathel:1,intend:[37,21],consit:45,munderov:51,gvertneqq:45,consid:[0,13,14,45,4,5,19,51,36,49,53],omega:45,outdat:4,faster:[50,7,14],furthermor:[53,13,21,7],anywher:7,tex2jax_ignor:[5,14],ignor:[5,28],time:[0,2,4,45,6,11,36,14,17,18,24,21,27,30,33,7,38,28,34,53,47,50,51],push:[27,43,16,53,29,47,30,36],"5kb":24,mathrm:45,doteq:45,emulateie7:50,skip:[5,34],consum:17,webkit:14,skin:1,displayind:21,millisecond:[0,41,27,46,17,6,33,36],decid:[7,46],depend:[27,29,47,30,8,50,7,52],newenviron:45,readabl:43,nearrow:45,varpi:45,certainli:34,vee:45,decis:50,leftarrowtail:45,succnsim:45,sourc:[12,13,41,53,40,2,46,39,20,18,22,34,51,36,49],string:[0,27,28,44,45,17,5,24,21,18,36,49,3],curlyve:45,word:[5,51,7],centerdot:45,dim:45,foo:[37,27],administr:[1,8],level:[19,7,34,31],did:30,item:[41,44,46,45,30,20],preprocesor:45,cooki:[11,29,14],div:[11,45,51,32,47],prevent:[45,26,41,14,42,46,5,19,24,21,7],outlin:14,slower:50,compens:20,sign:[45,13,47,5,19,51,7],cost:[45,19,7,37],pmb:45,rightarrowtail:45,widehat:45,xandi:37,dotsi:45,dotsm:45,appear:[45,31,34,30,46,17,18,19,21,47,8,50,7,49],dotso:45,repli:18,dotsc:45,dotsb:45,current:[0,41,1,28,49,50,8,34,35,7,37],backepsilon:45,ampersand:45,inlinemath:[45,13,47,5,19,7],defici:40,amalg:45,mathsiz:45,gener:[45,7,30,52,29,39,6,32,51,36,49,19],mfrac:[19,51],modif:[53,7],address:[19,34],along:[43,53,17,18,32,10,23],wait:[0,7,34,14,27,28,43,16,53,2,47,18,30,29,38,21,48,36],box:[45,0,14,6],html_head:1,bracevert:45,shift:21,bot:45,queue:[28,31,27,48,15,16,53,29,47,30,43,36],overriden:36,digamma:45,varlimsup:45,commonli:19,macintosh:36,semant:37,succsim:45,extra:[18,45,51,14,21],circumv:34,modul:[0,35,31],prefer:[13,41,46,19,50,34,52],iepro7:2,veebar:45,visibl:[5,42,53,26,47],marker:45,myid:3,mobil:[13,14,7],arrowvert:45,memori:[48,49],bigr:45,visit:19,todai:43,subvers:[19,34],stylesheet:[0,31,27,28,16,29,47,48,21,8,50],handler:[0,31,43,2,29,47,48,21,51,7],current_skin:1,bigl:45,bigm:45,eqcirc:45,checkout:34,bigg:45,inputjax:[31,15,49,29,38,10,37],capit:15,sitaut:47,peopl:19,bigtriangleup:45,enhanc:[51,14],minscaleadjust:41,visual:[39,22,7],templat:[35,7,1,8],hphantom:45,easiest:[18,19,34,27,30],graphic:34,prepar:[53,7],cap:45,uniqu:3,pmatrix:45,whatev:[45,1,37,53,47,18,23],cal:45,purpos:[30,51,50],getjaxbytyp:36,downharpoonleft:45,subseteqq:45,varprojlim:45,backslash:[45,24,21],topic:[15,12,7],critic:34,sharp:45,disadvantag:50,occur:[0,40,34,27,30,16,53,2,46,17,18,19,38,21,7,48,36,28,47],eqsim:45,nuber:[],pink:45,alwai:[45,30,53,7,27],multipl:[45,53,13],trianglelefteq:45,write:[28,53,47,19,22,50],fourth:53,mathsf:45,tild:45,xhtml:[19,40],map:51,max:45,clone:34,spot:45,usabl:34,mac:[36,20,41,21],udpat:[],mai:[0,1,2,4,45,6,8,13,15,18,19,20,21,23,28,30,36,34,7,37,5,40,41,49,53,47,48,50,51],data:[11,0,31,41,27,37,18,30,38,49,34,10,36,23],grow:1,goal:22,vartheta:45,preceq:45,explicit:[0,7,21,19],uparrow:45,geramond:45,inform:[0,41,1,28,43,17,39,30,20,21,18,51,7],"switch":[51,13,34,14,32],preced:[7,21],combin:[0,13,14,45,39,19,50,7],gamma:45,lnsim:45,approx:45,showmathmath:20,lsh:45,tex2math:32,still:[18,40,27,1,28,43,53,39,21,33,50],pointer:37,ttf:34,dynam:[0,31,12,53,2,47,19,21,48,22,51,7],entiti:[45,40,14],amssymbol:[39,19,45,13,7],conjunct:13,group:[0,40,4],monitor:4,polici:34,bigstar:45,platform:[22,12,1,19],window:[31,27,6,2,46,17,30,47,36],"05em":45,main:[45,13,34,15,37,53,46,39,19,31,21,7,3,10,36,23,51],mathexampl:47,non:[11,0,16,45,19,51],msam10:19,myinputjax:38,initi:[0,13,48,45,29,46,31,5,19,38,21,7,18,51,36,49,53],safari:[50,36,2,14],half:30,now:[13,34,14,43,29,19,50,7],discuss:[11,34,7,2,4],nor:[6,44],term:[19,13,7,17],name:[0,29,39,6,7,11,5,13,14,17,18,19,24,21,23,25,26,27,28,2,30,34,10,36,37,38,45,40,41,42,44,3,49,50],opera:[50,52,36,2,14],boxdot:45,drop:34,separ:[13,34,53,17,18,19,20,21,7,40,3,25],messagestyl:[6,21,17],sideset:45,ntriangleleft:45,confid:22,varpropto:45,vec:45,varsupsetneqq:45,compil:30,domain:[19,7,34],replac:[0,13,14,40,2,47,19,24,7,51,36,37,38],individu:[49,14,25,47],continu:[0,13,45,18,48,7,53],happen:[40,34,16,53,45,48,51],shown:[45,44,21,46,47],accomplish:[19,7,2,34,50],space:[14,47,45,19,21,50,9,51],intermix:29,internet:[0,14,45,2,46,17,39,30,21,50,51,7,25],formula:[47,21,33,22,50,51],correct:[30,13,2],integr:1,simeq:45,earlier:[19,53,7],migrat:[12,13],ajax:[0,7,15,53,29,31,18,30,38,36],mime:[40,49,19,38,10,36,23],underleftarrow:45,org:[13,14,1,2,46,47,45,19,32,8,50,35,7],ord:45,care:[45,19,2,25],ntrianglelefteq:45,couldn:30,x00b1:19,synchron:[0,27,12,43,2,53,29,48,47,30,16,36,28],mscarri:40,thing:[45,19,44,47],place:[0,41,6,45,4,47,18,19,28,24,21,34,7,37,53,32],mathop:45,unwis:50,ture:[],typset:[],think:[45,21,47],frequent:[5,18],first:[18,40,34,27,30,51,45,2,48,47,5,19,28,44,21,8,10,7,23,53],origin:[37,45,34,28,16,2,47,18,19,49,10,7,23],lfloor:45,oni:34,directli:[34,14,53,2,47,45,30,38,8,51],conform:19,onc:[0,34,27,28,45,29,47,39,19,38,32,53],arrai:[29,45,6,9,36,14,16,18,38,21,23,24,25,26,27,28,30,32,50,10,7,5,41,42,44,20,51,52],yourself:[34,19,16,2,45,30,21,7],fast:[13,14,7],open:[12,40,34,46,45,19,8,22,35],predefin:21,size:[20,41,14,3,47,45,24,7],given:[11,0,37,14,1,28,16,45,44,3,17,18,30,38,21,49,27,51,36,23,53],ifmodul:34,evail:53,leftrightharpoon:45,circl:45,white:3,conveni:[19,37,21],hub:[0,29,39,6,7,9,5,13,15,17,18,19,20,21,23,24,25,26,2,30,32,33,36,38,45,31,41,42,49,53,46,47,50,51,52],especi:51,programat:51,copi:[13,34,2,4,19,40,7,22,36,38],specifi:[29,45,6,9,11,13,14,16,18,19,20,21,24,27,28,30,36,33,34,7,5,41,44,53,46,48,50,51,52,3],lhd:45,enclos:[3,51,41,21],quad:45,than:[0,29,39,6,8,9,5,13,14,16,18,19,38,21,22,49,25,27,28,36,34,10,7,37,45,40,41,43,53,47,48,50,51,3],serv:[19,14],wide:[22,51,34],underbrac:45,were:[18,13,49,47],posit:[16,41,14],seri:[53,44],pre:[39,13,34,5,6,40,7],delic:20,lnot:45,doublecup:45,nleftrightarrow:45,argument:[28,27,53,30,37,25],dash:[3,41],properli:[11,0,13,34,14,19,49,53,2,47,6,40,30,36,37],engin:[22,12],squar:[45,44,14],npreceq:45,consortium:22,note:[0,2,45,6,8,36,19,44,21,49,24,28,30,34,7,38,5,41,53,46,47,50,51,52,3],x2260:19,take:[11,0,13,27,1,30,53,29,4,47,45,6,24,48,7],properti:[11,0,31,37,27,28,16,30,38,49,10,36,23],noth:[19,27,30],channel:[18,43],updownarrow:45,begin:[18,34,45,29,47,5,24,50,51,7,53],sure:[45,13,34,14,28,53,4,47,5,19,50,7],windowset:46,normal:[39,27,45,2,5,19,21,51,3],buffer:24,compress:7,beta:[45,50,7],pair:[11,0,27,44,3,5,24,18,10,36,23,25],fileurl:0,beth:45,hotfix:7,latex:[12,43,45,5,19,21,22,51,7],renam:13,textarea:5,later:[28,40,41,27,16,53,45,30,7,36],drive:34,typeset:[0,29,5,14,17,18,20,21,22,49,26,2,30,33,36,31,41,42,43,53,46,47,48,51],badg:4,sigma:45,mathfrak:45,showmathmenu:41,show:[45,34,19,4,47,39,6,44,21,30,35,46,25],autoreset:27,approxeq:45,unprocess:[36,49,47],concurr:29,permiss:[19,34],hack:50,corner:[31,21,17],xml:[22,43],insruct:1,onli:[0,1,2,4,45,6,13,14,39,19,44,21,22,49,28,30,36,34,10,7,5,40,41,43,3,47,50],explicitli:[45,13,14,30,5,19,21,7,37],activ:[13,34,27,43,4,47,48,40,50,51],state:53,inlinedelimit:45,otim:45,black:45,offici:7,geq:45,mypic:[5,42,26,44],nearli:[39,45,7,25],variou:[0,41,1,28,15,3,17,18,6,20,10,7,51,25],get:[11,12,40,41,14,27,30,29,53,2,17,45,19,28,20,21,47,50,34,7,37],cannot:45,ncong:45,downarrow:45,requir:[0,13,27,45,2,39,30,38,7,18,22,51,36,23,53],prime:45,lceil:45,mathpunct:45,enspac:45,intermitt:[31,17],shortmid:45,retypeset:47,where:[0,29,4,45,6,11,13,17,18,19,24,23,27,30,36,34,10,7,39,31,41,49,3,47,48,51],wiki:[19,51,7,2,1],lozeng:45,obejct:16,ismac:[36,29],concern:[51,36],infinit:24,detect:[14,27],parent:[11,37],enumer:45,label:[46,25],enough:[53,44],between:[45,7,14,27,30,53,46,18,19,50,51,36,49],maltes:45,"import":[0,34,14,15,53,39,48,18,7],across:[43,50],longleftrightarrow:45,vdot:45,screen:[0,14,47,53,17,39,22,7,23],negmedspac:45,come:[13,34,53,2,39,30,40,50,51,7],leftleftarrow:45,manu:[],timout:0,pertain:19,audienc:50,inconsist:13,overbrac:45,mani:[45,7,14,48,53,5,30,36,3],among:7,color:[45,3,44,14,21],operatornam:45,period:[0,31,34],colon:[45,3],autmat:[],cancel:27,typic:[5,45,10,7,34],"70kb":7,bigcirc:45,msrow:40,damag:19,needlessli:30,myserv:7,skew:45,mark:[0,40,45,5,19,32,51,3],succapprox:45,fade:6,arcsin:45,resolut:22,processenviron:5,supprot:[],breve:45,texfont:6,blacktriangl:45,those:[45,6,36,16,18,19,44,21,22,49,27,28,30,10,7,38,39,40,34,23,53,47,51,3],"case":[45,13,41,27,30,37,53,2,47,18,19,44,21,49,34,51,7,23,3,25],kappa:45,oldstyl:45,addtext:11,invok:50,invoc:7,margin:24,tbinom:45,advantag:[50,53,13,7,1],barwedg:45,leadsto:45,mlongdiv:40,worri:[18,51],destin:36,updatemath:47,bigwedg:45,develop:[13,34,43,4,40,7],author:[13,17,38,21,33,22,51],media:[3,7,34],postjax:[51,21],same:[39,13,34,14,28,45,8,26,5,19,24,18,48,42,7,23,53],html:[1,29,45,6,7,9,11,12,13,14,39,15,18,19,20,21,23,25,26,2,42,31,32,34,35,36,5,40,41,43,44,3,46,47,48,50,51,52],pad:[11,3],knuth:43,mathvari:51,document:[0,2,45,12,13,15,19,21,22,23,26,42,36,32,7,5,40,34,43,47,50,51],finish:[43,48,53,2,47],vvdash:45,nest:[40,14,31],availablefont:[6,7,41],longleftarrow:45,capabl:[15,22,50],formaterror:36,improv:[13,14,4,21,50,7],extern:[0,31,48,53,18,30,36],submenu:[21,46,8],appropri:[45,18,38,32,10,51],macro:[14,45,19,24,21,7,25],markup:[45,0,51,40,43],leftharpoonup:45,overwithdelim:45,without:[0,13,41,45,18,30,20,7,51,40],model:[12,31,34,15,29,45,50,51,37],altertn:50,bigotim:45,stixfont:6,mml2jax:[40,42,39,19,21,51,25],loaderror:0,rest:[0,40,53,47,19,22,51],flavor:[39,7],speed:[50,51,13,14,7],versu:53,mathzoom:[39,3,33,25],nleqq:45,except:[39,19,48],littl:[0,28],blog:[19,51,7,1],treatment:45,yuicompressor:14,earli:[7,14],hover:[46,21,33],around:[45,7],read:[13,34,14,44,18,19,40,7],outermost:44,boldsymbol:45,messsag:17,getjaxbyinputtyp:36,moo:37,world:[22,30,7],lasterror:36,mod:45,sum_:51,blackberri:14,cdot:45,integ:36,server:[13,41,14,2,39,19,34,7],either:[0,13,34,1,28,15,44,3,2,18,19,24,7,33,50,36,52],output:[2,45,9,12,13,14,18,19,20,21,23,25,36,31,32,7,37,38,39,40,41,43,49,3,46,47,50,51,52],rollov:14,manag:[11,31,34,1,30,43,29,17,19,50,51,49],lesssim:45,searrow:45,sqcup:45,constitut:15,pod:45,slice:27,definit:[0,41,14,3,46,39,20,33,22,24],shoveright:45,inputid:49,dashleftarrow:45,mathcal:45,variuou:18,complic:[44,40,52,50],refer:[12,7,34,19,49,2,47,18,6,28,38,30,48,36,37],power:[53,4],inspect:36,broken:51,thinspac:45,fulli:[19,53,40],regexp:5,"throw":[23,10,38,2],trianglerighteq:45,acc:[],assocait:47,underwai:53,ddddot:45,act:[45,43,53,18,30,24,21,51],industri:43,processor:[45,40,41,43,53,29,46,51,39,19,20,3,50,9,7,52,24,25],hookrightarrow:45,nobreakspac:45,routin:[11,0,48,30,38,10,36,23],nsupseteqq:45,effici:[37,47],elementari:40,lessdot:45,triangledown:45,bbb:45,rightharpoondown:45,mathbackground:45,your:[0,1,2,4,45,6,7,8,9,12,13,14,39,19,24,21,22,26,30,32,33,50,34,35,36,5,40,41,42,43,44,53,46,47,48,20,52],sqsupseteq:45,log:[45,19,34,17],area:[24,17],fontwarn:[6,21,25],lor:45,strict:[50,34],compliant:[13,14],interfac:[34,1,19,8,22,35],lot:[18,24,34],machin:[43,34],lambda:45,buggi:45,categor:25,longer:[28,13,34,17],pull:34,mathml:[12,40,14,43,49,45,2,51,39,19,20,10,52,8,22,50,9,7,23,35,25],bullet:45,possibl:[0,40,34,14,27,30,53,17,39,6,21,50,51,7,37,3],"default":[0,29,39,6,7,9,5,13,17,19,20,21,23,24,25,26,27,42,32,33,34,10,36,38,45,41,46,50,51,52],processescap:[5,45,13,7],buildrel:45,sepecifi:[],notag:45,embed:40,expect:[45,50,53,7,21],taylor:19,creat:[0,29,4,11,17,18,38,23,27,30,10,37,28,31,34,43,49,53,46,48,51,3],certain:[18,28,48],leftrightsquigarrow:45,risingdotseq:45,varliminf:45,file:[0,1,2,45,6,7,8,10,13,14,16,17,18,19,38,21,23,25,27,28,29,30,32,35,36,39,34,43,44,53,48,49,50,51,52,3],outputjax:[31,15,49,29,38,23],fill:[50,52],again:[45,0,36,49,47],iiiint:45,googl:4,pmod:45,reduct:50,valid:[30,13,50],you:[1,2,3,4,39,6,7,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,34,35,36,37,38,5,40,41,42,44,45,46,47,48,50,51,52,53],trash:49,wthin:[],sequenc:[12,7,34,16,45,29,18,48,36],symbol:[45,19],dashv:45,track:[51,4],menuset:[39,21,33],reduc:[45,7],mathcolor:45,lbrace:45,directori:[0,41,14,48,43,49,29,17,39,19,38,21,18,34,10,7,23],descript:[26,42,2,5,6,31,21],lbrack:45,scroll:35,calle:37,potenti:53,escap:24,dst:36,negthickspac:45,represent:51,all:[0,1,29,45,6,7,12,13,14,39,17,18,19,38,21,22,25,26,27,28,2,30,31,36,37,5,40,34,42,43,53,48,50,51],consider:7,illustr:47,dollar:[45,13,47,5,19,7],abil:[50,51,13,34,14],follow:[39,13,41,14,27,30,15,44,45,29,47,5,19,38,18,34,51,7,37,3,25],alt:[2,21],disk:[39,19,7,34],children:40,scr:45,articl:43,init:37,program:[31,1,48,15,49,53,29,19,22,51,37],smile:45,introduc:7,programmat:32,multlin:[45,24],vert:45,far:[0,28,34,17],renewcommand:45,prooblem:45,"1px":[11,45,3],verb:45,mechan:[28,27,16,53,29,18,48,37],loadcomplet:[0,36,38,7],veri:8,strang:40,list:[1,29,45,6,8,9,35,36,18,20,21,23,24,26,27,42,33,34,10,7,5,41,49,53,46,47,51,52],"_html":50,emul:50,adjust:[41,2,47,20,8,35,7],displaylin:45,small:[41,14,17,45,24,51],preceed:5,dimens:14,getalljax:[36,47],lll:45,tex:[1,2,45,6,7,8,9,10,12,13,14,39,18,19,24,21,22,25,26,31,32,34,35,36,38,5,40,41,43,53,47,50,51],zero:16,design:[40,2,4,39,22,35],pass:[0,13,14,27,28,16,53,29,46,18,30,51,36,37,25],overlin:45,further:[16,53,38,51],what:[0,4,45,6,12,36,14,19,20,21,22,26,27,42,33,34,7,5,40,41,46,47,50,51],sub:31,sum:[45,27],ast:45,abl:[13,41,27,1,19,2,47,18,6,21,8,22,34,35,7],delet:41,version:[12,13,34,14,47,29,2,4,31,39,19,38,7,33,49,10,36,23],sup:45,method:[11,0,13,37,27,28,16,53,2,17,18,30,38,7,48,10,36,23,47,49],hasn:[0,10,13,23,17],full:[0,14,39,15,2,47,5,30,21,22,7],exectu:27,geqslant:45,modular:[22,40],ggg:45,ineffici:[37,21],modifi:[12,13,1,47,45,17,39,19,38,7,18,36,23],valu:[0,29,45,6,9,11,14,16,18,20,21,24,25,26,27,30,33,36,37,5,40,41,42,44,53,46,47,51,52,3],search:[22,12,36,4],sender:18,prior:[45,21],amount:[6,24,27],action:[0,7,27,28,31,16,45,2,17,18,30,29,38,43,33,48,51,36,47,53],mathjax_wikipedia:2,mml_htmlormml:[13,1,2,39,19,8,50,35,7],magnitud:50,llap:45,via:[0,1,29,39,6,13,14,17,18,19,38,49,25,27,2,33,34,7,37,40,41,53,51],shorthand:47,filenam:[30,13,2,7],href:[45,44,14],inappropri:18,emptyset:45,famili:[45,0,3],decrement:16,establish:39,select:[40,34,46,39,20,50,36],proceed:[53,44],x41:45,distinct:15,ctrl:21,regist:[0,7,28,43,29,18,48,38,10,36,23,51],two:[18,48,44,45,39,19,24,21,3,50,7,53,25],offseti:41,taken:[18,45,53,50,47],imath:45,basi:[50,7,52],more:[39,6,8,10,13,14,16,19,20,21,22,27,30,36,32,34,35,7,37,38,28,41,43,44,53,47,48,50,51,52,3],flat:45,diamond:45,desir:[39,37,2,34],henc:34,ital:[0,21],flag:21,aleph:45,particular:[11,0,7,34,27,30,43,16,3,45,19,28,48,50,51,36,37],known:53,upsilon:45,mathml3:40,cach:[18,7],showmathmenumsi:[39,20,14],none:[28,26,41,27,42,5,30,21,51,7],eta:45,mmlorhtml:[39,50,52,21,25],det:45,dev:4,histori:[18,28,29,43],remain:[39,43],paragraph:[45,6,51,47,19],caveat:[19,34],def:[45,24,37],deg:45,scan:36,myspan:44,challeng:39,registr:38,share:[19,7,34,4],accept:[30,27,47],succneqq:45,minimum:[36,41,14],unreli:13,explor:[0,14,45,2,46,17,39,30,21,50,51,7,25],phrase:[45,19],mathinput:47,huge:45,cours:[53,13,40,7],newlin:[45,14,17],awkward:37,secur:[34,2],rather:[0,29,45,6,9,13,14,16,18,19,38,21,22,49,25,27,7,37,5,40,34,53,47,48,50,51,3],anoth:[28,34,16,53,17,18,48,10,47,51,25],comfort:34,csc:45,snippet:[11,12,26,42,4,5,6,44,21,36],ddagger:45,stix:[41,14,43,45,6,34,51,7],simpl:[50,44,21,17],css:[0,2,45,6,9,12,13,14,19,20,21,23,25,36,31,32,33,34,7,39,40,41,43,49,3,46,47,50,51,52],unabl:6,resourc:14,referenc:6,iphon:14,variant:43,reflect:[29,47],vdash:45,mstack:40,impliedbi:45,associ:[51,41,27,49,30,20,34,10,36,23,38],curlywedg:45,mytim:30,github:[13,34],footer:7,confus:13,ambigu:15,caus:[0,40,34,53,30,49,45,46,17,5,19,31,24,21,7,18,51,36,28,38,47],callback:[0,31,27,28,15,16,53,29,47,18,30,38,43,48,36,49],firefox3:41,merror:3,unrhd:45,help:[12,13,34,4,19,46,50,7],soon:[7,2,21,47],trade:[50,7],through:[45,13,34,14,28,53,46,18,48,40,50,51,7,37,25],hierarchi:[7,34],paramet:[0,29,45,11,13,14,16,17,19,24,21,23,25,26,27,28,30,36,10,7,37,38,39,42,49,47],style:[11,0,41,14,12,43,44,45,29,46,17,5,6,20,21,33,51,36,49,3],arial:45,x221a:40,processupdatetim:36,x221e:51,late:[43,2],isreadi:[31,29],pend:16,amsmathaddit:53,mathplay:[50,2,14,46,21],might:[0,13,34,30,53,4,18,19,24,7,51,40],alter:[5,47],good:[53,2,4],"return":[11,0,40,37,27,28,16,53,17,18,30,38,47,48,10,36,23,49],textstyl:45,hslash:45,getelementbyid:47,rlap:45,funciton:38,mathscr:45,instruct:[44,19,13,2,1],bigcup:45,easili:[22,51],iff:45,x2212:[19,51],found:[0,19,4,30,21,10],unicod:[45,6,40],x2211:51,button:34,subsystem:29,originaltext:49,weight:[44,37],hard:[34,14,4,39,19,7],realli:[30,21],nless:45,connect:[39,30,51,7],beyond:4,orient:[15,37,31,29],nleq:45,looparrowright:45,shortcom:48,skiptag:5,asynchorn:[53,47],print:[22,3,34],occurr:48,msie:[36,20,52],foreground:3,assist:[39,7],safari3:41,advanc:[15,12,22,7],offsetx:41,symbian:14,mml:[31,52,39,19,10,49,51],reason:[0,40,30,53,2,46,17,45,19,24,50,36,38],base:[13,41,1,48,15,29,2,31,6,50,38,49,22,34,7,37],typeet:47,sbe:29,put:[0,13,34,48,45,19,7,25],mathr:45,asn:51,ispc:[36,29],succnapprox:45,stanard:45,drupal:1,msbm10:19,showprocessingmessag:[21,25],perhap:[30,7],bumpeq:45,elementjax:[31,15,29,38,10,49],stixgener:45,getelementsbytagnam:2,assign:[5,30],major:[22,50,7,2],dont:51,boxplu:45,feel:4,exchang:43,lastnam:30,number:[0,1,39,6,13,14,17,19,44,21,49,24,27,30,36,10,7,38,31,34,23,53,50],fadeoutstep:6,done:[16,53,7,29,51],construct:[53,51],blank:[28,27,47],stabl:[7,34],miss:[45,27],differ:[45,7,34,27,30,53,47,18,19,48,50,51,36,37],script:[0,1,29,45,7,8,10,11,13,14,39,18,19,38,21,23,2,32,35,36,5,34,49,53,47,50,51],interact:[22,19,51,7,49],smoother:6,least:[50,51,36,7],statement:[53,27],illeg:[44,7,14],store:[11,28,13,41,14,27,49,53,47,30,31,32,7,10,36,23,51],option:[39,6,8,9,12,5,13,19,20,21,24,25,26,42,36,32,33,7,37,38,45,41,44,46,51,52],nleftarrow:45,triangleleft:45,ntrianglerighteq:45,selector:[3,21,17],tex2jax_process:5,part:[39,40,34,27,48,45,8,2,5,19,24,18,22,50,51,7,37,53],pars:[45,14],binom:45,cosh:45,kind:51,aaa:24,prebuilt:19,whenev:[28,40,34],remot:34,remov:[28,7,14,47,49,17,5,21,51,36,23],dtd:19,bridg:[13,49],arrang:27,ffff88:3,comput:[34,36,41],nleqslant:45,img:[26,3,2,5,42,44],preovid:45,packag:[43,7,34,32],expir:11,"null":[11,0,26,41,14,27,28,37,2,17,5,6,31,38,21,47,42,10,36,23,49],built:[12,13,2,50],equival:[11,27,53,47,39,30,44],lim:45,self:[19,40,14],ell:45,also:[2,4,39,11,5,13,15,17,18,19,20,21,49,27,30,34,7,37,45,40,41,43,46,47,48,51],brack:45,build:19,brace:45,distribut:[19,35,13,34,7],index:[19,34,1],addel:11,reach:7,react:28,most:[18,31,34,14,1,43,29,3,2,39,19,38,27,50,7,37],plan:19,rho:45,alpha:45,rhd:45,vardelta:45,componet:[],clear:[28,41,27,29,17,18],tpl:1,exp:45,starup:[],usual:[27,30,53,45,6,38,21,51,7],leftroot:45,cdata:14,nshortparallel:45,carefulli:[44,47],cdn:[13,34,14,1,2,47,45,19,32,8,50,35,7],finv:45,particularli:[39,50,34],rightleftarrow:45,font:[0,45,6,12,13,14,17,19,44,21,22,24,34,7,20,41,43,3,46,47,48,51],find:[36,4,47,6,32,8,50,51,7],preremoveclass:21,execut:[0,27,16,53,29,18,30,51,7],pretti:34,solut:[19,51,34,4],delayedx:27,"public":34,queu:[16,53,7,27,28],factor:[20,41,14,21],noerror:[39,19,45],tagsid:[24,25],precnsim:45,express:[18,28,53,5,24,21],strut:45,nativ:[40,15,2,39,20,22,50,51,52],mainten:13,greasemonkei:[7,2],restart:[5,16,53,7,34],ie9:[50,34,14],ie8:[50,14],ie7:50,ie6:41,vmatrix:45,common:[12,13,1,19,43,44,45,39,6,40,7,36,38],set:[0,29,39,6,7,9,11,5,13,14,17,18,19,20,21,49,24,25,26,27,28,2,30,32,33,34,36,37,45,31,41,42,43,44,53,46,47,48,51,52,3],overrightarrow:45,startup:[12,7,14,47,2,53,29,31,18,38,21,36],see:[0,29,4,39,6,7,8,10,5,13,14,16,18,19,20,21,25,26,27,28,30,32,33,34,35,36,45,40,41,42,43,53,46,47,48,50,51,3],sec:45,arg:45,ams_hml:7,close:[40,14,19,4,39,6,25],langl:45,inconveni:13,someth:[45,34,4,47,5,19,21],particip:4,won:[53,7,34,14],subscript:[45,14],experi:21,altern:[45,0,51,37,30],numer:[36,40],complement:45,javascript:[0,1,2,45,6,8,12,13,15,18,19,20,21,22,49,24,25,27,30,33,35,7,37,39,31,41,43,44,53,46,47,48,50,51,3],isol:14,mailbox:[18,43],bmatrix:45,consumpt:14,distinguish:10,longrightarrow:45,errat:7,classnam:2,popul:29,closur:[30,27,47],last:[0,34,27,16,3,45,36,25],delimit:[45,13,14,5,19,51,7],hyperlink:51,event:[0,14,43,2,47,18,48,21,51],nvdash:45,context:[5,46,21,27],overset:45,hbar:45,whole:[26,48,47,5,42,36],load:[0,1,2,45,7,10,12,13,14,16,17,18,19,38,21,22,23,27,28,29,30,32,35,36,39,31,34,43,53,47,48,50,51],markdown:51,simpli:[39,13,34,27,42,16,45,47,5,30,26,21,7,22,36,38,32],point:[45,16,7,19],instanti:37,schedul:30,usemathmlspac:9,header:[7,34,1,8],suppli:[36,49,27],simplu:38,mistak:44,zeta:45,laod:38,gneq:45,devic:[13,14,7],due:13,empti:[31,41,27,53,29,21,51],"_htmlormml":50,dur:36,strategi:50,invis:34,fire:[29,7,2,30],imag:[13,41,14,42,44,2,5,6,26,22,34,7],coordin:[16,53,51],understand:[39,51],demand:39,urcorn:45,sqcap:45,blacksquar:45,look:[11,45,40,41,27,1,28,3,4,17,5,19,47,8,34,51,36,25],solid:[11,45,3],pitchfork:45,lvert:45,"while":[11,0,13,34,19,52,45,2,18,6,40,21,48,50,51,7,28,53],blacktriangleleft:45,nprec:45,behavior:[13,34,21,7],circlearrowright:45,bookmarklet:7,everyon:18,loop:[24,49],pack:14,subsect:38,measuredangl:45,readi:[39,18,38,29,31],jpg:[5,42,26,44],biguplu:45,itself:[45,13,34,27,28,16,53,29,31,18,3,40,21,7,49,51,36,37,38,25],rightarrow:45,xleftarrow:45,shorten:17,shorter:14,redisplai:17,unexpectedli:[45,19],conflict:[51,14],upuparrow:45,optim:[50,14],domin:43,alert:[18,30,53,27],moment:[19,10,34],hander:[],temporari:7,user:[2,4,45,6,12,17,18,19,20,21,22,27,32,33,34,7,39,40,41,46,47,50,51],robust:[18,43],stack:24,recent:[22,2],lower:[31,14,29,17,45,21],task:45,older:[7,34],entri:[43,16,3,14],searchabl:22,person:30,textit:45,expens:50,normals:45,scriptsiz:45,fallingdotseq:45,explan:19,rvert:45,obscur:[14,17],mathinn:45,amp:[45,14],regardless:47,cup:45,blacklozeng:45,ffeeee:45,notifi:18,input:[2,45,8,9,35,13,14,18,19,38,21,23,24,25,36,31,32,10,7,37,39,40,43,49,53,47,50,51],subsequ:[45,38],oslash:45,trueli:47,march:12,konqueror:[50,36],big:[45,34,25],moodl:1,tomathml:[39,49],game:45,insert:[26,27,2,5,42,38,21,8,35,36,23,51],bit:[20,37],diagup:45,onchang:47,semi:3,varkappa:45,signal:[28,7,27,48,15,29,31,18,30,38,43,36],altough:30,resolv:14,collect:[30,53,49,3,27],"boolean":36,popular:[19,32,1],swarrow:45,scrip:13,often:[45,19,51,3],lastest:4,creation:[10,29],some:[1,2,45,6,13,15,16,18,19,20,21,22,23,25,27,30,36,34,10,7,37,38,39,40,41,49,53,47,50,51,52],back:[6,34,49],emph:45,global:[15,50,31,27,47],urgent:7,sampl:[34,48,3,29,47,18,19,21,50],instal:[12,13,41,14,19,50,45,6,8,22,34,7],scale:[22,20,41,14,21],delimt:[],substitut:24,mathemat:[0,2,39,6,8,10,5,7,14,18,19,20,21,22,23,24,26,42,32,33,34,35,36,38,45,40,41,43,49,53,46,47,50,51],larg:[45,0,13,7],temprorari:[],slash:[],prod:45,reproduc:47,sqsubseteq:45,tex2jax:[39,13,14,47,45,2,31,5,19,40,21,51,7,25],cgi:0,garamond:45,previou:[30,53,28,27,17],run:[0,2,5,6,9,36,16,18,19,20,24,26,27,29,42,34,7,28,40,41,30,53,47,48,50,51,52],doteqdot:45,odot:45,step:[6,51,29,1,19],hookleftarrow:45,varsubsetneq:45,impor:[],impos:34,ngeqslant:45,reappear:17,materi:[14,47],dialog:14,rangl:45,succcurlyeq:45,block:[13,41,14,19,29,2,45,6,20,21,51,7,38],file3:53,file2:[0,53],file1:[0,53],file4:53,bmod:45,within:[0,13,34,14,27,19,15,45,40,29,7,47,5,6,24,32,30,48,51,36,37],prec:45,notat:[43,45,19,22,51,7],isjax:36,announc:48,triangl:45,question:[19,38,4],submit:4,custom:[45,14,17,39,19,22,50],adjac:14,perp:45,includ:[0,1,29,45,6,7,9,13,14,39,15,18,19,20,21,22,24,25,26,27,2,30,31,32,33,34,10,36,38,5,40,41,42,44,53,46,47,50,51,52,3],suit:[6,13,40,7,19],nativemml:[40,52,46,39,20,50,51,23,25],overleftrightarrow:45,ulcorn:45,doctyp:[19,40,50],poster:28,atop:45,loadhook:[0,36,30],serif:[45,0,3],link:[13,34,14,1,19,15,6,48,7],translat:[51,10,38,23,14],delta:45,line:[45,13,34,14,1,29,2,5,19,26,7,50,51,40,25],consist:[45,44,53,40,50],rmoustach:45,qquad:45,divideontim:45,geqq:45,similar:[48,34,27],enlarg:33,constant:[18,24],doesn:[18,41,27,49,45,2,39,21,34,7,37],repres:[11,26,19,3,17,5,6,44,21,22,42,23,51],mathdiv:[11,30,53,47],opera10:41,guarante:[0,53,47,16],constortium:[],phantom:45,bigoplu:45,iiint:45,titl:[19,47],sequenti:[48,53,29],invalid:[45,44],llcorner:45,toaudibl:49,bracket:[45,44,21],shoveleft:45,xrightarrow:45,department:34,supseteq:45,nice:2,delayclear:41,msup:[19,51],alttext:42,varsubsetneqq:45,eval:27,newcommand:45,svn:[19,13,34],rightharpoonup:45,land:45,mimetyp:[49,10,38,23],svg:[51,14],supseteqq:45,liminf:45,depth:45,dot:45,hello:30,prototyp:37,code:[0,2,4,39,8,11,12,5,13,16,18,19,20,21,26,27,28,29,30,36,7,45,31,42,43,44,53,47,48,3],partial:45,queri:51,tiddlywiki:1,edu:34,privat:[48,38,34],elsewher:47,send:[18,28,7],becam:43,sens:51,sent:[18,28,36,43],actiontyp:41,unzip:34,gnsim:45,xxxxxxxx:[19,34],mous:[51,46,41,14,33],tri:[45,0,13,41],ischrom:36,mathit:45,forefox:2,geograph:7,fewer:39,"try":[34,4,18,19,38,37],userscript:2,maction:[41,14],pleas:[44,4],impli:[45,40],smaller:[39,0,14],fortun:18,natur:[22,19,45,34,51],varupsilon:45,download:[0,13,34,14,6,19,21,51,7],fullnam:30,hspace:45,click:[41,46,39,20,21,33,8,34,51,7],append:[11,34],compat:[43,50,7,14,21],appendchild:[11,2],turn:[11,39,13,27,28,5,20,40],access:[45,34,14,1,30,49,53,46,39,19,28,22,7,37],mathjax:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53],can:[0,2,4,39,6,7,11,5,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,10,36,37,38,45,40,41,43,53,47,48,50,51,3],vargamma:45,varsigma:45,leq:45,let:[13,34,44,2,46,19,40,50,36,52],sinh:45,becom:[13,34,27,53,4,18,40,37],sinc:[0,45,13,14,39,16,18,19,20,21,24,27,36,7,37,28,40,53,47,48,50,51,3],tex4ht:51,rtime:45,convert:[12,40,27,45,2,17,5,32,22,51,23],convers:45,larger:[39,19,51,7],technolog:[39,22,7,4],zscale:21,circledast:45,chang:[13,41,14,1,47,2,46,17,19,20,7,34,51,36,49,24],honor:34,chanc:[5,18,28,19],firefox:[34,14,2,50,36,52],rgroup:45,appli:[45,34,7,37],iskonqueror:36,lessgtr:45,api:[15,12,22,19],smallmatrix:45,cloud:[13,7],from:[0,1,29,45,7,10,12,13,14,17,18,19,24,21,23,26,28,2,30,32,34,35,36,37,38,5,31,41,42,49,53,46,47,50,51],zip:[19,34,14],commun:[18,12,4,19],chi:45,doubl:[39,7,24,21,33],upgrad:[6,34,4,12],varphi:45,next:[45,48,49,47],implic:34,few:[45,19,34,32],msqrt:[19,51],bowti:45,panel:45,preformat:14,src:[39,13,1,42,44,45,2,47,5,19,26,32,7,8,50,35,36,53],nsubseteq:45,doublebarwedg:45,projlim:45,"4ac":19,rare:53,versionatleast:36,account:11,alik:2,retriev:11,augment:[37,10,38,23],aperson:30,thin:24,assum:47,control:[39,26,41,19,45,3,7,46,50,5,6,20,21,33,42,34,9,36,52,24],tau:45,lesseqgtr:45,tar:34,process:[0,2,39,7,11,12,5,13,14,16,17,18,19,24,21,23,25,26,29,30,32,10,36,38,45,40,42,49,53,47,50,51,52],dfrac:45,newmath:47,high:[22,50,51],tag:[1,29,45,8,13,14,18,19,44,21,23,24,25,2,42,36,32,10,7,5,40,34,49,47,51],tan:45,prece:30,delai:[0,7,41,27,28,46,17,39,21,33,18,36],gcd:45,pure:40,getelementsbytagnamen:2,subdirectori:[34,10,23,49],instead:[45,13,34,14,30,16,53,47,18,19,51,7],class4:37,class2:37,sin:45,sim:45,class1:37,simplesup:37,frac:45,overridden:[41,23,17,38,49,10,37],mspace:[45,19,40,14],anothermethod:37,frak:45,filtertext:17,redund:[37,21],essenti:[39,45,51,7,37],light:[45,37],correspond:[36,41,32,7],element:[29,39,6,11,5,36,14,18,19,44,23,26,28,42,40,10,7,37,45,31,41,49,53,47,48,51,3],issu:[0,40,4,17,21,51,7],unaccept:50,allow:[1,2,45,13,14,17,18,19,44,21,22,24,30,33,34,7,37,28,40,41,43,53,46,20,3],fallback:[34,41],mjx:11,fastest:50,nonumb:[],move:[34,13,41],nsucc:45,comma:[3,2,45,21,7,25],dagger:45,mathjax_tooltip:41,movabl:[35,1],chosen:50,coth:45,varxi:45,therefor:45,pixel:41,multimap:45,crash:21,greater:45,handl:[0,13,14,48,43,45,40,2,31,18,6,20,7,53,36,52,38],supsetneq:45,nokia:14,innermost:44,dai:11,maxbuff:24,front:[39,14],successor:32,gggtr:45,sourceel:[18,49,23,47],anyth:[18,25,4],edit:[7,1,8],smallfrown:45,mode:[45,41,14,5,19,32,50,34,51],varomega:45,"2em":45,genfrac:45,subset:45,delaypost:41,nointerest:28,meta:50,"static":37,our:[13,34,14,4,19,35],meth:38,acut:45,special:[45,40,30,3,5,19,21,7,48,22,50,51,36],out:[0,13,41,53,18,6,20,50,34,51],variabl:[31,27,15,2,29,47,45,30,37],lesseqqgtr:45,matrix:45,stub:38,rel:[0,20,41,14],moveabl:[35,1],circlearrowleft:45,ref:36,math:[29,39,7,11,12,5,13,14,17,18,19,20,21,22,26,2,42,32,33,34,10,36,38,45,40,41,43,46,47,48,50,51],negthinspac:45,nsucceq:45,insid:[14,1],workflow:40,manipul:47,eqslantgtr:45,releas:[19,7,2,34],afterward:30,indent:[24,21],could:[0,13,30,15,45,4,47,18,19,40,7,51,36,49,53],ask:[4,47,19,24,51,7],succ:45,keep:[13,34,1,43,47,45,19,50,51,7],gtreqqless:45,length:[2,27],outsid:[5,50],"0em":21,scriptstyl:45,softwar:[22,19,51],rbrace:45,blogger:1,rbrack:45,qualiti:[22,50,51],spadesuit:45,date:[19,13,34,14,7],uplu:45,clubsuit:45,bigsqcup:45,suffic:19,"long":[45,19,53,14,46],start:[0,13,34,27,12,44,45,29,48,51,18,19,38,21,8,35,7,28,53],unknown:40,system:[34,1,19,4,45,6,22,50],messag:[0,13,34,43,19,15,45,29,48,17,39,6,31,38,21,18,36,28],attach:[18,28,48],termin:5,"final":[13,30,45,19,44,22,51],rsh:45,supset:45,"1em":40,gtreqless:45,hdashlin:45,exactli:50,blind:51,ipad:14,gtrdot:45,subsetneq:45,structur:[0,7,27,19,43,47,18,30,31,36,25],charact:[45,40,41,14,3,5,6,24,21,51],htaccess:34,seriou:51,disrtibut:13,bet:34,exhibit:34,deliveri:[19,14],biggl:45,biggm:45,rrightarrow:45,unkown:36,have:[0,1,29,4,45,6,13,14,39,18,19,20,21,49,25,27,28,2,30,36,34,7,37,5,40,41,53,47,48,50,51],tabl:40,need:[0,1,2,3,4,5,6,7,8,10,13,14,16,17,18,19,20,21,22,23,24,27,29,30,34,35,36,37,38,39,40,41,43,49,45,47,48,51,53],nsim:45,border:[11,45,3],min:45,mid:45,which:[1,29,39,7,10,5,13,14,17,18,19,24,21,23,25,26,27,28,2,30,31,32,33,34,35,36,37,45,40,41,42,44,53,47,49,50,51,3],hbox:45,mit:45,singl:[0,13,14,27,48,15,45,47,5,19,31,3,22,7,53],declaremathoper:45,mathjax_preview:[26,3,5,42,21,51],x22d6:45,unless:[19,14,27,50],who:[18,28,4],eight:50,leftthreetim:45,comparison:[53,36],"class":[37,45,31,14,27,28,15,16,5,38,21,49,10,23,51,32],underset:45,placement:14,url:[0,13,34,14,2,46,39,19,7],gather:45,request:[0,14,28,45,29,18,30,50,7,53],face:[34,4,6,24,41,25],inde:[2,25],movablelimit:14,nmid:45,determin:[7,41,1,29,45,20,21,36],flux:53,occasion:7,fact:[28,13,38],atopwithdelim:45,backsimeq:45,mathjax_messag:17,text:[1,29,39,6,8,11,5,13,14,17,18,19,20,21,22,49,24,26,2,30,32,35,7,45,41,42,44,53,47,50,51],verbos:[43,30,21],perfom:48,perfor:50,bring:51,woth:40,curlyeqsucc:45,lgroup:45,locat:[0,13,34,6,29,47,5,19,26,21,7,18,42,36,23,51,32],jax:[29,39,9,13,14,15,18,38,21,23,24,25,2,36,32,10,7,37,20,31,41,43,49,3,47,50,51,52],vartriangleright:45,forev:2,should:[2,39,8,10,5,13,16,19,24,21,23,26,27,28,30,36,32,35,7,38,45,40,34,42,44,53,47,50,52,3],imagefont:[6,41],vartriangleleft:45,suppos:[30,13,47],"5px":11,triangleright:45,"5pt":19,local:[34,27,19,53,2,47,6,21,7],hope:[6,13],precsim:45,overleftarrow:45,fontwarns:3,increas:[13,14],ignoreclass:5,leqslant:45,smash:45,enabl:[45,13,1,5,19,8,35,7],organ:51,frown:45,stuff:36,she:50,contain:[0,1,2,39,6,11,5,36,15,16,17,18,19,38,21,49,26,27,28,30,34,7,45,31,41,42,53,47,51,3],view:[40,41,15,2,19,32,50,22,34,7],attibut:3,coooki:11,frame:17,apolog:13,temporarili:17,substack:45,issafari:36,mathord:45,statu:[0,34,30],error:[0,13,45,2,4,39,19,40,21,10,36,23,38],jmath:45,pattern:[5,21],thumb:53,gtrsim:45,favor:13,written:[19,8],quickest:19,theta:45,neither:[6,44],equiv:[45,50],omicron:45,nshortmid:45,kei:[11,0,27,28,16,18,21,36],entir:[36,7,47],closebox:6,ker:45,addit:[0,13,14,27,19,16,45,3,47,39,6,40,21,30,18,10,36,23,53,49],skipstartuptypeset:21,plugin:[1,46,21,8,22,50,51],admin:[35,8],nabla:45,equal:[53,36,37],gnapprox:45,etc:[45,53,7,21,47],instanc:[11,7,49,53,38,36,37],equat:[39,26,41,14,42,45,47,5,19,24,21,50,22,34,51,49],futher:50,class3:37,eth:45,limiti:34,lmoustach:45,html5:[50,13,14,7],comment:[14,3,39,19,21,7],varnoth:45,arriv:[18,48],solv:[7,2],arguement:30,respect:[20,41,27],quit:47,showfontmenu:46,"55em":45,quotat:3,compos:40,compon:[0,29,45,13,39,15,18,19,22,23,25,36,40,10,7,37,28,31,3,46,48,51],treat:[45,19],immedi:[0,16,53,29,47,18,7],smallsetminu:45,both:[0,13,14,30,43,53,29,39,19,40,21,7,8,35,36,37],alignat:45,varsupsetneq:45,otf:[34,14],psi:45,togeth:[13,27,53,39,40,36],injlim:45,present:[28,40,4,6,21,7],twoheadrightarrow:45,multi:45,iscallback:27,plain:45,align:[45,40,21],contextu:[12,40,41,46,39,20,21,33,51,49],studentdisplai:47,defin:[45,13,41,33,19,29,53,2,7,46,39,6,20,38,21,30,3,36,37,24,25],glossari:[43,12],layer:[14,1],almost:45,curvearrowright:45,site:[13,34,1,39,19,21,22,35,7],archiv:[19,34],substanti:[13,7],revis:34,halt:48,welcom:4,displaystyl:[45,47],parti:18,cross:34,sqrt:[45,19,51],getx:37,extensiondir:38,oint:45,android:14,cssid:[45,14],difficult:[30,40,48],phi:45,http:[13,34,1,2,46,47,45,19,32,8,50,35,7],lleftarrow:45,"8em":[45,24],effect:[16,53,2],mrow:[19,51,40],student:47,php:[1,8],trake:4,executehook:[28,27],off:[45,14,39,48,20,50,7],center:[45,21],well:[18,34,27,30,3,4,47,39,19,38,21,48,50,7],exampl:[0,2,4,45,6,7,9,11,13,14,16,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,10,36,37,5,40,41,42,44,53,46,47,48,49,50,51,52,3],command:[40,34,27,43,16,53,29,47,45,21,7,36],choos:[45,19,50],undefin:[45,19,27,30],setx:37,subsetneqq:45,sibl:14,latest:[13,34,1,2,47,45,19,32,8,50,35,7],curlyeqprec:45,paus:34,less:[45,34,5,19,51,36],natiov:[],obtain:[13,34,47,39,19,21,51,7,23],mistaken:51,mathclos:45,mathoutput:47,simultan:[53,29],web:[12,13,41,14,1,19,29,45,2,47,18,6,32,48,22,34,51,7,28,53,49],current_them:1,smith:30,textbf:45,cdotp:45,add:[39,13,1,16,45,5,6,38,21,49,50,37,3],other:[0,1,29,45,7,13,14,39,16,17,18,19,20,21,22,49,27,28,30,32,34,36,37,38,5,40,41,43,53,47,48,50,51,52],match:[5,28,41],webpag:32,piec:14,ntriangleright:45,punctuat:14,know:[28,30,2,18,19,10,7,23,51],cfrac:45,press:21,recurs:[36,14],loss:7,nofont:6,like:[2,45,14,16,17,18,19,22,25,27,28,30,32,10,7,5,40,34,43,53,47,48,50,51,3],lost:30,messagehook:[18,28,36],necessari:[22,19,36,49,7],page:[1,29,45,6,7,8,11,12,13,14,39,15,17,18,19,20,21,22,49,26,28,2,30,32,34,35,36,5,40,41,42,53,46,47,48,50,51],captur:43,settext:11,linux:36,bigve:45,"export":49,superclass:37,proper:[28,36],home:0,librari:[15,53,31,34],glyph:[45,43],kern:45,leak:49,avoid:[13,14,45,44,21,51,40],tooltip:41,leav:[11,24,52,47],doublecap:45,supsetneqq:45,preload:[0,19],twoheadleftarrow:45,daleth:45,upharpoonright:45,journal:43,usag:12,host:[13,7],sphericalangl:45,although:[15,28,34,52],offset:41,simpler:17,varepsilon:45,about:[18,13,41,14,27,19,45,7,4,47,39,6,20,21,30,48,34,51,36,28],ams_html:[45,13,47,39,32,7],actual:[11,0,40,27,16,45,47,18,30,21,7,10,36,23,53],column:24,mathajx:13,mod_head:34,mapsto:45,constructor:37,fals:[39,41,14,28,45,2,46,5,20,21,9,36,37,25],disabl:[20,13,41],eqalign:45,own:[13,34,14,19,15,53,4,45,6,48,50,10,7,23,51,25],amsmath:[45,13,53,39,19,24,7],circledr:45,reprocessor:40,automat:[45,16,53,17,5,19,38,50,51,7,37],bigtriangledown:45,guard:21,vphantom:45,merg:[11,36],dcocument:36,transfer:[19,34],support:[12,13,41,14,19,29,45,2,4,31,39,6,20,7,22,50,51,40,52],much:[18,43,7,50,48],bigcap:45,tracker:[19,4],arg1:30,"var":[11,27,53,2,47,18,30,37],arg2:30,"function":[0,27,28,43,2,45,29,48,47,18,30,16,51,36,37,53],propto:45,unexpect:[20,21],precnapprox:45,studentansw:47,bodi:[0,13,47,19,10,7,23],gain:[50,46],inlin:[5,19,13],bug:[11,13,34,14,4,17,19,21,51,7],count:2,made:[34,53,4,48,51,49,25],bbbk:45,whether:[45,26,41,42,2,46,47,5,30,20,21,7,9,36,52],wish:[13,30,3,2,4,45,19,7,50,36],displai:[45,6,11,12,14,17,18,19,24,21,22,49,26,32,33,7,5,40,34,23,46,47,51],troubl:19,underleftrightarrow:45,asynchron:[0,31,27,28,43,16,53,18,30,48,36],gtrapprox:45,below:[1,45,6,9,11,36,19,44,21,23,24,26,42,33,50,34,10,7,5,41,49,46,48,20,51,52],limit:[11,0,40,45,24,7],otherwis:[0,7,27,45,17,39,19,31,8,50,36,37],problem:[13,34,14,30,2,4,45,19,50,51,7],x03c0:51,"int":[11,45,30],dure:[14,27,18,38,36,49],novemb:13,implement:[11,0,13,15,45,39,30,40,18,50,51,37,38],nolimit:45,inf:45,rightleftharpoon:45,probabl:[18,30,7,1],oplu:45,helpurl:46,immateri:53,percent:[20,41],detail:[0,39,6,7,8,12,5,13,14,16,18,19,20,21,26,27,28,42,32,33,34,35,36,45,40,41,53,46,47,48,50,51],arctan:45,book:43,futur:[0,4,17,18,48,50,49],branch:[7,34],varieti:51,downlaod:[22,14],removeaft:6,mehtod:38,repeat:[34,1],star:45,liter:5,thicksim:45,msgroup:40,stai:7,sphinx:1,scientif:43,reliabl:[50,13,2,7],rule:[45,6,9,53,21],mathjax_mathml:2,portion:47,eot:34},objtypes:{"0":"py:method"},titles:["The MathJax.Ajax Object","Using MathJax in popular web platforms","Loading MathJax Dynamically","CSS Style Objects","The MathJax Community","The tex2jax Preprocessor","The FontWarnings extension","Loading and Configuring MathJax","Installing MathJax in WordPress","The MathML input processor","The MathJax.InputJax Class","The MathJax.HTML Object","MathJax Documentation","Migrating from MathJax v1.0 to v1.1","What’s New in MathJax v1.1","The MathJax API","The MathJax.Callback.Queue Class","The MathJax.Message Object","Using Signals","Getting Started","The NativeMML output processor","The Core Configuration Options","What is MathJax?","The MathJax.OutputJax Class","The TeX input processor","Configuration Objects","The jsMath2jax Preprocessor","The MathJax.Callback Class","The MathJax.Callback.Signal Class","The MathJax Startup Sequence","Using Callbacks","The MathJax variable","Converting to MathJax from jsMath","The MathZoom extension","Installing and Testing MathJax","Using MathJax in Movable Type","The MathJax.Hub Object","The MathJax Object-Oriented Programming Model","The Base Jax Class","Common Configurations","MathJax MathML Support","The HTML-CSS output processor","The mml2jax Preprocessor","Glossary","Describing HTML snippets","MathJax TeX and LaTeX Support","The MathMenu extension","Modifying Math on the Page","Synchronizing your code with MathJax","The MathJax.ElementJax Class","MathJax Output Formats","The MathJax Processing Model","The MMLorHTML configuration options","Using Queues"],objnames:{"0":"Python method"},filenames:["api/ajax","platforms/index","dynamic","CSS-styles","community","options/tex2jax","options/FontWarnings","configuration","platforms/wordpress","options/MathML","api/inputjax","api/html","index","upgrade","whats-new","api/index","api/queue","api/message","signals","start","options/NativeMML","options/hub","mathjax","api/outputjax","options/TeX","options/index","options/jsMath2jax","api/callback","api/signal","startup","callbacks","api/variable","jsMath","options/MathZoom","installation","platforms/movable-type","api/hub","api/object","api/jax","config-files","mathml","options/HTML-CSS","options/mml2jax","glossary","HTML-snippets","tex","options/MathMenu","typeset","synchronize","api/elementjax","output","model","options/MMLorHTML","queues"]}) -\ No newline at end of file +Search.setIndex({objects:{"":{Load:[0,0,1],Preloading:[0,0,1],Log:[18,0,1],Subclass:[38,0,1],Delay:[28,0,1],Init:[38,0,1],getAllJax:[37,0,1],Interest:[29,0,1],Translate:[39,0,1],Config:[37,0,1],addElement:[12,0,1],Styles:[0,0,1],ExecuteHook:[29,0,1],loadTimeout:[0,0,1],Resume:[17,0,1],Update:[37,0,1],loadComplete:[0,0,1],loadHook:[0,0,1],formatError:[37,0,1],call:[17,0,1],getJaxByInputType:[37,0,1],PreProcess:[37,0,1],Post:[29,0,1],has:[38,0,1],Signal:[28,0,1],executeHooks:[28,0,1],Set:[18,0,1],Insert:[37,0,1],addText:[12,0,1],TextNode:[12,0,1],Augment:[38,0,1],Clear:[18,0,1],Register:[39,0,1],Remove:[18,0,1],Element:[12,0,1],Queue:[28,0,1],NoInterest:[29,0,1],Suspend:[17,0,1],getJaxByType:[37,0,1],Push:[17,0,1],Typeset:[37,0,1],fileURL:[0,0,1],wait:[17,0,1],reset:[28,0,1],getJaxFor:[37,0,1],loadError:[0,0,1],Process:[37,0,1],Text:[45,0,1],setText:[12,0,1],Reprocess:[37,0,1],Startup:[39,0,1],SourceElement:[45,0,1],can:[38,0,1],File:[18,0,1],MessageHook:[29,0,1],isJax:[37,0,1],filterText:[18,0,1],isa:[38,0,1],Require:[0,0,1]}},terms:{represent:51,reprocess:[37,45,48],mathjax_msie_fram:18,four:[1,14],prefix:[12,20,15],asymp:46,blacktriangledown:46,webfont:[6,42,20],whose:[12,7,48,5,31,37,24],html5:[50,14,15,7],under:[41,35],preprocess:[51,37,30,48],slowest:50,worth:7,digit:15,gimel:46,everi:[19,37,15,7],mskip:46,arcco:46,govern:[20,14,7],dotplu:46,affect:[14,35,15,46,37,45,26],isforefox:37,look:[12,46,41,42,28,2,29,53,4,18,5,20,48,8,35,51,37,26],eqnarrai:46,cmd:22,bigodot:46,ominu:46,math:[30,5,7,11,12,13,14,15,40,18,19,20,39,22,23,27,3,43,33,34,35,10,37,46,41,42,44,47,48,49,50,51],nparallel:46,properti:[12,0,32,38,28,29,17,31,39,45,10,37,24],nsubseteqq:46,direct:[42,6,14,41,35],consequ:11,second:[0,14,35,28,31,53,49,5,6,21,22,7,19,10,41,24,1],ngeq:46,even:[0,41,28,31,17,46,3,49,48,40,20,21,7,19,23,51,37,29,1],hide:48,prejax:[51,22],neg:46,weren:14,children:41,"new":[30,4,12,13,14,15,18,19,20,25,23,45,26,28,37,10,7,38,29,35,24,1,47,48,49,51],mhtml:2,told:49,limsup:46,elimin:22,behavior:[14,35,22,7],lessapprox:46,blacktriangleright:46,here:[12,29,32,28,31,1,3,48,19,20,39,22,37,45],met:30,lneqq:46,path:[40,0,7,20],noundefin:[40,20,46],interpret:[46,20,35],nrightarrow:46,netowrk:[],forum:[20,4],bookmarklet:7,rceil:46,circleddash:46,mathstrut:46,unix:35,org:[14,15,2,3,47,48,46,20,33,8,50,36,7],thinmathspac:[20,41],unit:15,highli:23,describ:[12,46,14,35,28,20,44,53,30,48,40,6,21,7,31,50,51,37],would:[5,6,9,11,12,14,40,17,20,21,22,45,25,27,28,31,37,33,34,35,7,38,46,42,43,53,47,48,50,51,52,1],afterward:31,readi:[40,19,39,30,32],ltime:46,varlambda:46,call:[0,2,3,46,6,7,9,14,17,18,19,20,25,22,24,26,27,28,29,31,34,35,10,37,38,39,5,42,43,44,45,1,47,48,49,11,51,52],recommend:[20,51,35,50],diretori:[],preview:[5,43,51,27,22],type:[0,2,3,5,8,10,12,14,40,19,20,39,22,45,37,33,36,7,46,41,24,1,48,49,50,51],until:[0,27,29,1,5,31,39,22,7,19,43,37],notin:46,displaymath:[5,7],relat:[0,15],notic:46,warn:[0,14,22,6],jpg:[5,43,21,27],loss:7,hold:[0,21,22,34,51,37],unpack:[20,35],must:[0,14,42,35,20,44,17,46,30,7,18,5,6,25,22,34,49,50,41,29,53],fbox:[46,15],join:[19,46],centerdot:46,setup:[23,20,41],work:[12,13,14,35,15,31,46,3,4,48,19,20,41,33,49,23,50,7,38],cc0000:[53,22],tag_nam:35,root:[0,15,30,18,46,7],overrid:[38,6,10,39,24],mathmenu:[42,53,47,40,11,7,26],give:[29,42,20,53,3,19,6,21,7,25,26],cirit:7,indic:[0,7,35,31,17,46,30,19,20,29,39,22,45,10,37,24,51],impair:[23,7],hline:46,want:[4,5,14,40,16,18,19,20,22,24,28,31,35,36,7,38,46,42,1,48,50,52],setminu:46,end:[0,5,41,15,2,50,46,30,4,40,8,19,36,7,1],quot:[5,42,15,22],hom:46,heartsuit:46,how:[0,2,3,4,5,6,8,14,40,17,18,20,21,22,27,28,29,43,37,33,34,35,7,46,42,47,49,11,51],disappear:[5,43,27],answer:[4,48],verifi:[20,35,4],config:[2,30,5,6,7,8,9,10,11,14,40,18,19,20,25,22,24,26,27,3,31,33,34,36,37,39,46,42,43,53,47,48,50,52,1],renewcommand:46,updat:[37,35,15,2,1,48,14,7,45],showrender:47,recogn:20,lai:[50,51],diagdown:46,after:[0,42,28,31,17,1,3,47,18,19,20,39,22,48,49,35,51,7,29,26],befor:[0,2,30,4,46,7,8,14,17,18,19,20,21,22,25,28,29,31,34,37,38,39,5,41,42,44,1,48,49,50,51],wrong:41,unwis:50,parallel:[46,1,30,15],averag:51,alignedat:46,attempt:[0,41,47],third:[1,41],leftarrow:46,receiv:[29,14,35,31,19,20,39,49,7,38],greasekit:3,maintain:[14,49,4,19,31,22],environ:[5,20,46,25,4],enter:[41,48,46,20,51,7],textnod:12,order:[29,14,35,20,44,17,1,30,7,18,5,6,27,22,31,50,43,37,38,51],oper:[0,5,6,9,11,15,17,18,19,25,23,27,43,34,42,39,29,32,35,31,44,1,47,48,50,52],parentnod:[3,15],softwar:[23,20,51],over:[12,0,42,15,46,47,48,40,20,22,34,51,7],fall:[46,6,1,35,20],becaus:[19,14,42,1,31,46,3,18,5,20,21,7,51,41,29,25,48],boxtim:46,suspend:[19,17,1,29],textrm:46,appar:[50,1],afil:31,flexibl:[21,1,14],vari:50,smallint:46,fit:[19,47],fix:[14,35,15,7],strang:41,better:[15,47,40,20,33,8,50,7],boxminu:46,drawback:50,upharpoonleft:46,persist:4,comprehens:44,easier:[29,14,35,1,46,41,38],moveleft:46,them:[12,0,5,14,35,15,20,17,46,41,40,6,25,1,7,31,19,51,37,29,53],thei:[0,3,4,5,6,7,9,14,15,40,16,17,18,19,20,21,22,25,26,27,29,30,31,34,35,37,39,46,41,42,43,44,53,47,48,49,11,51,52,1],qualiti:[23,50,51],safe:[12,3,48],"break":[46,49,1,41,15],mtext:[46,20,15],wedg:46,widetild:46,choic:[50,37,8],dbinom:46,leftharpoondown:46,timeout:[0,15,28],each:[5,7,35,28,29,46,30,49,18,40,20,48,19,51,37,1],debug:18,side:[20,18,25,22,8],mean:[5,14,2,29,16,30,46,3,49,48,40,31,27,22,19,23,43,7],leqq:46,createel:3,resum:[17,1],leqalignno:46,mathopen:46,looparrowleft:46,network:[14,35,15,40,20,36,7],goe:[46,49,1],iint:46,newli:[12,19,38],crucial:35,predefin:22,content:[2,30,5,8,10,12,14,15,20,21,22,3,37,36,7,38,40,41,44,1,48,50,51],reader:[40,23,7,15],forth:32,impract:35,multilin:46,situat:[7,15],free:[45,4],ineffici:[38,22],reconfigur:14,lneq:46,angl:46,moment:[20,10,35],isn:[19,39],iphon:15,temporari:7,isa:38,subtl:48,confus:14,mathbb:46,rang:51,mathbf:46,render:[41,15,30,47,5,20,22,23,50,51,52,33],independ:7,yourcolleg:35,restrict:[46,35],hook:[19,0,28,29],instruct:[21,20,14,3,2],alreadi:[0,28,48,46,3,4,18,19,31,49,7,38,1],primari:[50,14],tooltop:42,top:[32,35,46,20,50,7],sometim:[7,35],underlin:[46,15],master:49,too:[46,42,15,3,5,20],similarli:[0,37,35],john:31,listen:[19,29,37,28],thickapprox:46,namespac:[20,3,15,28,48],tool:[1,35],tagind:25,embellish:15,compressor:15,somewhat:49,technic:44,past:[29,14,15,19,49,23],filesmatch:35,provid:[12,0,41,28,2,31,17,46,18,19,20,29,21,48,49,23,51,37,38,1],eqalignno:46,tree:[20,21],"final":[14,31,46,20,21,23,51],project:[44,7,4],matter:[19,33],mathtt:46,ldotp:46,close:[41,15,20,4,40,6,26],modern:[23,6,50,13],mind:[46,20,7,2],manner:50,increment:17,seem:[31,41],rightrightarrow:46,ldot:46,person:31,latter:[19,51,21,7,26],expens:50,simplifi:15,though:[28,46,49,21,22,51],object:[0,30,6,12,13,16,17,18,19,21,22,24,26,28,31,34,10,37,38,39,29,32,42,44,45,53,47,48,49,11,51,1],gzip:15,regular:[5,22],letter:[20,35],grave:46,don:[14,15,31,1,3,48,19,6,41,7,50,37],dom:[12,45,1,48,19,49,39,22,37,24],doe:[46,41,35,28,52,45,3,19,31,11,22,7,23,50,10,37,24,51],declar:[41,42,53,47,6,11,34],tfrac:46,unchang:[14,52,48],sum:[46,28],came:35,delaystartupuntil:[37,30,22,7],random:[20,35],lnapprox:46,syntax:[46,38,15],mediawiki:2,isopera:37,outerhtml:15,shownam:31,asynchon:48,involv:[49,7,4],consolid:23,layout:45,firstnam:31,mathchoic:46,ismsi:[37,30],menu:[13,41,42,15,30,47,40,11,22,34,8,35,50,36,45,51],explain:[40,49,14,7,26],configur:[0,3,5,6,7,8,9,10,13,14,15,18,19,20,25,22,23,24,26,27,30,31,33,34,35,36,37,39,40,41,42,43,21,46,11,50,51,52],apach:35,configut:21,theme:[7,2,8],explic:[],rich:23,folder:[20,42,35],compli:[],infti:[46,51],report:[41,22,4],circeq:46,subseteq:46,fadeouttim:6,bar:[46,38,28],patch:[7,35],reload:47,bad:15,replacechild:3,neq:46,respond:[29,22,4],dashrightarrow:46,scriptscriptstyl:46,precneqq:46,result:[14,42,28,31,45,1,48,46,20,41,7,50,10,37,24,51],respons:[29,10,15,28],fail:[0,15,31,39,50,26],themselv:[20,37,30,21,32],best:[0,14,35,1,50,51,7],awar:[46,0,1,41],subarrai:46,varinjlim:46,wikipedia:[44,3],circledcirc:46,gneqq:46,awai:[7,35],approach:[31,51,2,48],attribut:[12,15,53,46,43,21,51,7],never:[35,0,7,3,39],extend:[23,51],synchon:19,extens:[0,30,5,6,14,15,40,19,20,25,22,26,27,3,43,37,33,34,7,39,46,32,44,53,47,48,1],add:[5,14,2,17,46,40,6,39,22,45,50,38,53],preprocessor:[5,14,43,46,41,30,32,40,20,27,22,7,51,37,48,26,33],intop:46,cot:46,cow:38,howev:[14,35,31,30,53,3,4,18,46,20,22,48,50,51,7,38,1,26],configuraiton:[],against:29,seri:[1,21],com:[7,35],varpsi:46,pre:[5,14,35,40,6,7],foral:46,can:[0,3,4,5,6,7,12,14,15,40,17,18,19,20,25,22,23,24,26,28,29,30,31,32,33,35,10,37,38,39,46,41,42,44,53,11,48,49,50,51,1],foobar:38,sai:[17,3,28],innerhtml:[3,48],height:[46,15,47],wider:4,sqsupset:46,speak:[16,51],chrome:[42,50,37,3,15],three:[41,35,28,31,1,6,21,49,51,39],been:[0,3,4,5,14,17,18,19,20,39,24,28,30,31,33,10,7,29,35,1,48,49,50],trigger:[40,50,7,22,34],interest:[19,29,44,4,49],basic:13,tini:46,quickli:[23,50,7,4],underrightarrow:46,regul:1,xxx:46,ani:[0,3,4,5,6,7,9,11,14,40,17,18,19,20,25,22,45,27,28,29,30,31,34,35,37,38,46,41,42,43,1,47,48,49,50,52],embelish:[],emploi:[44,50],dash:[53,42],tanh:46,servic:[14,35,15,20,36,7],avtiv:[],diamondsuit:46,sourceforg:14,javascipt:20,dashboard:36,suffici:[46,20,25,52,50],"3px":53,succeq:46,canb:[],have:[0,2,30,4,5,6,14,15,40,19,20,11,22,45,26,28,29,3,31,37,35,7,38,46,41,42,1,48,49,50,51],nexist:46,cong:46,sever:[0,14,35,46,48,40,31,51,24,1],amout:18,disabl:[11,14,42],incorrectli:[20,14,15],perform:[30,4,6,14,15,17,18,19,39,22,45,28,31,37,7,29,32,44,1,48,49,50],suggest:[6,4],make:[0,4,46,6,14,15,16,17,19,20,22,23,27,43,37,42,7,38,5,41,35,53,47,48,49,50,51,1],complex:[50,21],split:46,synch:14,lrcorner:46,unsafewindow:3,complet:[0,14,35,28,31,44,17,1,30,49,48,40,20,39,22,7,19,50,37,29,45],longmapsto:46,hand:[32,18,25,22,51,41,33],fairli:[21,14],rais:[46,15],mkern:46,ignorepast:29,unlhd:46,squar:[46,21,15],redefin:[6,10,39,24],kept:19,thu:[14,28,1,19,31,45],inherit:[16,38,10,24,45],client:42,thi:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53],idotsint:46,programm:38,everyth:[40,46,1,37,7],settimeout:[31,28],left:[41,35,32,30,18,46,49,25,22,8,36,26],processclass:5,identifi:[12,20,46,51,29],just:[46,41,35,28,2,31,53,40,20,22,8,23,51,7,29,1],yen:46,mathbin:46,coprod:46,yet:[41,17,1,48,19,49,50],languag:[44,49,51],noscript:5,onload:[32,3,30,31,22,7],errorset:[40,22],easi:[35,33],interfer:[40,7],had:[19,20,14,7],myconfig:[19,31],els:[31,3,48],save:[36,7,53,8],hat:46,take:[12,0,14,28,2,31,1,30,4,48,46,6,25,49,7],sanit:18,applic:[23,20,30,2],loadtimeout:0,quirk:50,preserv:31,assit:[],negativethinmathspac:50,background:[46,53,15],sqsubset:46,specif:[0,7,28,2,29,44,17,1,32,5,31,39,22,48,50,51,37,45],deprec:7,arbitrari:46,zoom:[13,41,15,40,22,34,7],leftrightarrow:46,underli:50,www:[35,3,47],right:[11,41,42,44,17,1,3,18,46,25,22,8,35,51,7,26],old:19,famili:[46,0,53],deal:50,autobold:46,begin:[19,35,46,30,48,5,25,50,51,7,1],percentag:[11,42,22],donald:44,successfulli:[0,31],interc:46,dddot:46,bottom:[7,8],subclass:[29,32,24,39,45,10,38],circ:46,exectur:29,overcom:[50,49],condit:[0,30],foo:[38,28],core:[1,30,46,22,51,37,26],plu:[40,29,30],bold:[46,21,25,26],confiogur:[],popular:[20,33,2],colleg:35,repositori:[14,35,15],post:[29,42,30,4,18,19,49,39],"super":[38,15],llless:46,obj:12,nwarrow:46,slightli:[46,8],surround:[20,11,42],unfortun:[20,35],current_theme_templ:2,joomla:2,span:[27,5,43,21,22,51,33],downharpoonright:46,geramond:46,encod:46,contectu:[],two:[19,1,49,46,40,20,21,22,53,50,7,25,26],down:[36,35,22],shortparallel:46,wrap:38,ntriangleright:46,often:[46,20,53,51],nsupseteq:46,git:[20,14,35,15],wai:[19,14,35,28,2,31,1,3,18,5,20,51,27,22,48,50,43,7,29,39],checkmark:46,transform:51,ngtr:46,avail:[0,2,5,6,14,19,20,11,22,23,45,27,43,35,7,38,41,42,1,47,48,50,51],width:[41,47,46,20,25,50],reli:[0,14,1,3,48,31,11,50],wordpress:[2,8],editor:8,rightthreetim:46,lnsim:46,form:[41,42,44,18,46,20,25,22,51,7],offer:[14,15,4],forc:[7,42],epsilon:46,hear:[19,29],downdownarrow:46,"true":[46,14,42,28,29,30,47,5,32,22,7,11,9,37,38],vcenter:46,maxmacro:25,reset:[47,28],absens:[],displayalign:22,intern:[0,41,29,44,17,1,46,22,50,10,37,24,51],tell:[35,3,48,20,50,7],absenc:2,more:[40,6,8,10,14,15,17,20,21,22,23,28,31,37,33,35,36,7,38,39,29,42,44,53,11,48,49,50,51,52,1],retir:14,nnn:35,featur:[13,41,35,4,48,19,31,34,50,38],rfloor:46,drive:35,exist:[46,20,38,35,28],ddot:46,backsim:46,triangleq:46,check:[0,14,35,31,18,46,20,29,38],recevi:[],when:[0,30,5,6,7,8,9,11,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,10,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,1],abovewithdelim:46,role:51,test:[12,13,14,35,49,30,3,48,19,20,41,7,50,37,38],tie:[30,28],smallsmil:46,scriptstyl:46,searrow:46,mathel:2,intend:[38,22],consit:[],munderov:51,gvertneqq:46,consid:[0,14,15,46,4,5,20,51,37,45,1],omega:46,outdat:4,longer:[29,14,35,18],bullet:46,anywher:7,tex2jax_ignor:[5,15],ignor:[5,29],time:[0,3,4,46,6,12,37,15,18,19,25,22,28,31,34,7,39,29,35,1,48,50,51],push:[28,44,17,1,30,48,31,37],"5kb":25,mathrm:46,doteq:46,emulateie7:50,skip:[5,35],consum:18,webkit:15,skin:2,displayind:22,millisecond:[0,42,28,47,18,6,34,37],decid:[7,47],depend:[28,30,48,31,8,50,7,52],head:[2,3,48,20,8,50,36,7],newenviron:46,readabl:44,nearrow:46,varpi:46,certainli:35,vee:46,decis:50,text:[2,30,5,6,8,12,14,15,40,18,19,20,21,22,23,45,25,27,3,31,33,36,7,46,42,43,1,11,48,50,51],succnsim:46,sourc:[13,14,42,1,3,47,40,41,19,23,35,51,37,45,11],string:[0,28,29,46,18,5,53,21,22,19,37,45,25],word:[5,51,7],room:25,dim:46,getjaxfor:[19,37,24],administr:[2,8],level:[20,7,35,32],did:31,item:[11,42,47,46,31,21],preprocesor:[],cooki:[12,30,15],div:[12,46,51,33,48],prevent:[46,27,42,15,43,47,5,20,25,22,7],mmlorhtml:[40,50,52,22,26],slower:50,compens:11,sign:[46,14,48,5,20,51,7],cost:[46,20,7,38],pmb:46,rightarrowtail:46,widehat:46,xandi:38,dotsi:46,dotsm:46,appear:[46,32,35,31,47,18,19,20,22,48,8,50,7,45],dotso:46,repli:19,dotsc:46,dotsb:46,current:[0,42,35,2,29,45,8,50,36,7,38],backepsilon:46,ampersand:46,inlinemath:[46,14,48,5,20,7],defici:41,amalg:46,mathsiz:46,gener:[46,7,20,52,30,40,6,33,31,51,37,45],mfrac:[20,51],modif:[1,7],address:[20,35],along:[44,1,18,19,33,10,24],wait:[0,7,35,15,28,29,44,17,1,3,48,19,31,30,39,22,49,37],box:[46,0,15,6],html_head:2,shift:22,bot:46,queue:[29,32,28,49,16,17,1,30,48,31,44,37],overriden:37,digamma:46,varlimsup:46,commonli:20,macintosh:37,semant:38,succsim:46,extra:[19,46,51,15,22],circumv:35,modul:[0,36,32],prefer:[14,42,47,20,50,35,52],iepro7:3,veebar:46,visibl:[5,43,1,27,48],marker:46,myid:53,mobil:[14,15,7],arrowvert:46,memori:[49,45],bigr:46,visit:20,todai:44,subvers:[20,35],stylesheet:[0,32,28,29,17,30,48,49,22,8,50],handler:[0,32,44,3,30,48,49,22,51,7],current_skin:2,bigl:46,bigm:46,eqcirc:46,checkout:35,bigg:46,inputjax:[32,16,45,30,39,10,38],capit:16,sitaut:48,peopl:20,bigtriangleup:46,enhanc:[51,15],minscaleadjust:42,visual:[40,23,7],accept:[31,28,48],hphantom:46,easiest:[19,20,35,28,31],graphic:35,prepar:[1,7],cap:46,uniqu:53,pmatrix:46,whatev:[46,2,38,1,48,19,24],cal:46,purpos:[31,51,50],getjaxbytyp:37,downharpoonleft:46,subseteqq:46,varprojlim:46,backslash:[46,25,22],topic:[16,13,7],critic:35,sharp:46,occur:[0,41,35,28,31,17,1,3,47,18,19,20,39,22,7,49,37,29,48],eqsim:46,nuber:[],pink:46,alwai:[46,31,1,7,28],multipl:[46,1,14],trianglelefteq:46,write:[29,1,48,20,23,50],fourth:1,mathsf:46,tild:46,xhtml:[20,41],map:51,max:46,clone:35,spot:46,usabl:35,mac:[11,37,42,22],udpat:[],mai:[0,2,3,4,46,6,8,14,16,19,20,11,22,24,29,31,37,35,7,38,5,41,42,45,1,48,49,50,51],data:[12,0,32,42,28,38,19,31,39,45,35,10,37,24],grow:2,newlin:[46,15,18],vartheta:46,preceq:46,explicit:[0,7,22,20],uparrow:46,produc:[6,14,19,20,25,22,23,45,26,28,31,33,50,10,7,29,42,24,47,48,11,51],inform:[0,42,2,29,44,18,40,31,11,22,19,51,7],"switch":[51,14,35,15,33],preced:[7,22],combin:[0,14,15,46,40,20,50,7],block:[11,14,42,15,20,30,3,46,6,39,22,51,7],approx:46,comfort:35,lsh:46,tex2math:33,still:[19,41,28,2,29,44,1,40,22,34,50],pointer:38,ttf:35,dynam:[0,32,13,1,3,48,20,22,49,23,51,7],entiti:[46,41,15],amssymbol:[40,20,46,14,7],conjunct:14,group:[0,41,4],monitor:4,polici:35,ignoreclass:5,platform:[23,13,2,20],window:[32,28,6,3,47,18,31,48,37],"05em":46,main:[46,14,35,1,16,38,53,47,40,20,32,22,7,10,37,24,51],mathexampl:48,non:[12,0,17,46,20,51],within:[0,14,35,15,28,20,16,46,41,30,7,48,5,6,25,33,31,49,51,37,38],myinputjax:39,initi:[0,14,49,46,30,47,32,5,20,39,22,7,19,51,37,45,1],stackrel:46,safari:[50,37,3,15],half:31,now:[14,35,15,44,30,20,50,7],discuss:[12,35,7,3,4],nor:[6,21],term:[20,14,7,18],name:[0,30,5,6,7,12,14,15,40,18,19,20,21,22,24,25,26,27,28,29,3,31,35,10,37,38,39,46,41,42,43,45,53,50],opera:[50,52,37,3,15],boxdot:46,drop:35,separ:[11,14,35,53,18,19,20,41,22,7,1,26],messagestyl:[6,22,18],confid:23,varsupsetneqq:46,compil:31,domain:[20,7,35],replac:[0,14,15,41,3,48,20,25,7,51,37,38,39],individu:[45,15,26,48],continu:[0,14,46,19,49,7,1],happen:[41,35,17,1,46,49,51],shown:[46,21,22,47,48],accomplish:[20,7,3,35,50],space:[15,48,46,20,22,50,9,51],intermix:30,internet:[0,15,46,3,47,18,40,31,22,50,51,7,26],formula:[48,22,34,23,50,51],correct:[31,14,3],she:50,simeq:46,earlier:[20,1,7],migrat:[13,14],ajax:[0,7,16,1,30,32,19,31,39,37],mime:[41,45,20,39,10,37,24],underleftarrow:46,brower:46,ord:46,care:[46,20,3,26],ntrianglelefteq:46,couldn:31,x00b1:20,synchron:[0,28,13,44,17,1,3,48,31,30,49,37,29],mscarri:41,thing:[46,20,21,48],place:[0,42,6,46,4,48,19,20,29,25,22,35,7,38,1,33],mathop:46,startuphook:[19,37],ture:[],view:[41,42,35,16,3,20,33,23,50,7],think:[46,22,48],frequent:[5,19],first:[19,41,35,1,28,31,46,3,49,48,5,20,29,21,22,8,10,7,24,51],origin:[38,46,35,29,17,3,48,19,20,45,10,7,24],lfloor:46,oni:35,directli:[35,15,1,3,48,46,31,39,8,51],onc:[0,35,28,29,46,30,48,40,20,39,33,1],arrai:[30,46,6,9,37,15,17,19,21,22,24,25,26,27,28,29,31,33,10,7,39,5,42,43,11,50,51,52],yourself:[35,20,17,3,46,31,22,7],submit:4,open:[13,41,35,47,46,20,8,23,36],ios4:15,size:[11,42,15,53,48,46,25,7],given:[12,0,38,15,2,29,17,46,53,18,19,31,21,1,22,45,28,51,37,24,39],ifmodul:35,evail:1,leftrightharpoon:46,circl:46,white:53,conveni:[20,38,22],hub:[0,30,5,6,7,9,11,14,40,16,18,19,20,25,22,24,26,27,3,31,33,34,37,39,46,32,42,43,45,1,47,48,50,51,52],especi:51,programat:51,copi:[14,35,3,4,20,41,7,23,37,39],specifi:[30,46,6,9,11,12,14,15,17,19,20,21,22,25,28,29,31,37,34,35,7,5,42,53,47,49,50,51,52,1],github:[14,35],enclos:[51,53,42,22],quad:46,than:[0,30,5,6,7,8,9,14,15,40,17,19,20,39,22,23,45,26,28,29,35,10,37,38,46,41,42,44,53,48,49,50,51,1],serv:[20,15],wide:[23,51,35],instanc:[12,7,38,1,39,37,45],underbrac:46,were:[19,14,45,48],posit:[17,42,15],stub:39,browser:[30,5,6,12,13,14,15,40,20,11,22,23,45,26,3,37,41,33,35,7,46,32,42,44,47,49,50,51,52],preccurlyeq:46,delic:11,lnot:46,doublecup:46,nleftrightarrow:46,argument:[29,28,1,31,38,26],hskip:46,doctyp:[20,41,50],engin:[23,13],techniqu:[14,3],npreceq:46,consortium:23,note:[0,3,46,6,8,37,20,21,22,45,25,29,31,35,7,39,5,42,53,47,48,50,51,52,1],x2260:20,jsmath:[13,51,33],noth:[20,28,31],channel:[19,44],updownarrow:46,surd:[46,15],sure:[46,14,35,15,29,1,4,48,5,20,50,7],windowset:47,normal:[5,28,46,3,40,20,22,51,53],buffer:25,compress:7,beta:[46,50,7],pair:[12,0,28,53,5,21,19,10,37,24,25,26],fileurl:0,beth:46,hotfix:7,latex:[13,44,46,5,20,22,23,51,7],renam:14,textarea:5,later:[29,41,42,28,17,1,46,31,7,37],sale:[],typeset:[0,30,5,15,18,19,11,22,23,45,27,3,43,34,37,32,42,31,44,1,47,48,49,51],badg:4,sigma:46,mathfrak:46,showmathmenu:42,show:[46,35,20,4,48,40,6,21,22,31,36,47,26],autoreset:28,approxeq:46,unprocess:[37,45,48],concurr:30,permiss:[20,35],hack:50,corner:[32,22,18],xml:[23,44],insruct:[],onli:[0,2,3,4,5,6,14,15,40,20,21,22,23,45,29,31,37,35,10,7,46,41,42,44,53,48,50],explicitli:[46,14,15,31,5,20,22,7,38],activ:[14,35,28,44,4,48,49,41,50,51],written:[20,8],inlinedelimit:46,otim:46,black:46,offici:7,geq:46,mypic:[5,43,21,27],nearli:[40,46,7,26],variou:[0,42,2,29,16,53,18,19,6,11,10,7,51,26],get:[12,13,41,42,15,28,31,30,1,3,18,46,20,29,11,22,48,35,50,7,38],cannot:46,ncong:46,downarrow:46,nsim:46,requir:[0,14,28,46,3,40,31,39,7,19,23,51,37,24,1],prime:46,lceil:46,mathpunct:46,consist:[46,50,1,21,41],intermitt:[32,18],shortmid:46,retypeset:48,where:[0,30,4,46,6,12,14,18,19,20,25,45,28,31,37,35,10,7,40,32,42,24,53,48,49,51],wiki:[20,51,7,3,2],lozeng:46,obejct:17,ismac:[37,30],concern:[51,37],infinit:25,detect:[15,28],parent:[12,38],enumer:46,label:[47,26],enough:[1,21],between:[46,7,15,28,31,1,47,19,20,50,51,37,45],maltes:46,"import":[0,35,15,16,1,40,49,19,7],across:[44,50],moveright:46,longleftrightarrow:46,vdot:46,screen:[0,15,48,1,18,40,23,7,24],negmedspac:46,come:[14,35,1,3,40,31,41,50,51,7],leftleftarrow:46,manu:[],timout:0,pertain:20,audienc:50,inconsist:14,overbrac:46,improv:[14,15,4,22,50,7],among:7,color:[46,53,21,15,22],operatornam:46,period:[0,32,35],colon:[46,53],autmat:[],cancel:28,"70kb":7,bigcirc:46,msrow:41,damag:20,needlessli:31,myserv:7,skew:46,mark:[0,41,46,5,20,33,51,53],addit:[0,14,15,28,20,17,46,48,40,6,41,1,22,31,19,10,37,24,53,45],succapprox:46,fade:6,arcsin:46,resolut:23,processenviron:5,supprot:[],breve:46,texfont:6,blacktriangl:46,those:[46,6,37,17,19,20,21,22,23,45,28,29,31,10,7,39,40,41,35,24,53,48,51,1],"case":[46,14,42,28,31,38,53,3,48,19,20,21,22,45,35,51,7,24,1,26],kappa:46,oldstyl:46,addtext:12,invok:50,invoc:7,margin:25,opera10:42,advantag:[50,1,14,7,2],barwedg:46,leadsto:46,henc:35,worri:[19,51],destin:37,updatemath:48,bigwedg:46,develop:[14,35,44,4,41,7],author:[14,18,39,22,34,23,51],media:[53,7,35],postjax:[51,22],same:[5,14,35,15,29,46,8,27,40,20,25,19,49,43,7,24,1],html:[2,30,5,6,7,9,11,12,13,14,15,40,16,19,20,21,22,24,26,27,3,43,32,33,35,36,37,46,41,42,44,53,47,48,49,50,51,52],pad:[12,53],knuth:44,mathvari:51,document:[0,3,46,13,14,16,20,22,23,24,27,43,37,33,7,5,41,35,44,48,50,51],bring:51,finish:[44,49,1,3,48],vvdash:46,nest:[41,15,32],assist:[40,7],longleftarrow:46,capabl:[16,23,50],formaterror:37,mani:[46,7,15,49,53,5,31,37,1],extern:[0,32,31,1,19,49,37],submenu:[22,47,8],appropri:[46,19,39,33,10,51],macro:[15,46,20,25,22,7,26],markup:[46,0,51,41,44],leftharpoonup:46,overwithdelim:46,without:[0,14,42,46,19,31,41,11,51,7],model:[13,32,35,16,30,46,50,51,38],altertn:[],bigotim:46,stixfont:6,mml2jax:[41,43,40,20,22,51,26],loaderror:0,rest:[0,41,1,48,20,23,51],flavor:[40,7],speed:[50,51,14,15,7],versu:1,mathzoom:[40,53,34,26],nleqq:46,except:[40,20,49],littl:[0,29],blog:[20,51,7,2],treatment:46,yuicompressor:15,earli:[7,15],hover:[47,22,34],around:[46,7],read:[14,35,15,21,19,20,41,7],outermost:21,boldsymbol:46,messsag:18,getjaxbyinputtyp:37,moo:38,world:[23,31,7],lasterror:37,mod:46,sum_:51,blackberri:15,cdot:46,integ:37,server:[14,42,15,3,40,20,35,7],either:[0,14,35,2,29,16,53,3,19,20,21,7,34,50,37,52,25],output:[3,46,9,11,13,14,15,19,20,39,22,24,26,37,41,33,7,38,40,32,42,44,45,53,47,48,50,51,52],rollov:15,manag:[12,32,35,2,31,44,30,18,20,50,51,45],lesssim:46,node:12,respect:[11,42,28],constitut:16,pod:46,slice:28,easili:[23,51],definit:[0,42,15,53,47,40,25,34,23,11],shoveright:46,inputid:45,dashleftarrow:46,mathcal:46,variuou:19,complic:[50,21,41,52],refer:[13,7,35,20,45,3,48,19,6,29,39,31,49,37,38],power:[1,4],inspect:37,broken:51,thinspac:46,found:[0,20,4,31,22,10],regexp:5,"throw":[24,10,39,3],trianglerighteq:46,acc:[],assocait:48,underwai:1,ddddot:46,act:[46,44,1,19,31,25,22,51],industri:44,processor:[46,41,42,1,44,53,30,47,40,20,25,50,9,7,52,51,26,11],hookrightarrow:46,nobreakspac:46,routin:[12,0,49,31,39,10,37,24],nsupseteqq:46,effici:[38,48],elementari:41,lessdot:46,triangledown:46,compos:41,rightharpoondown:46,mathbackground:46,your:[0,2,3,4,5,6,7,8,9,11,13,14,15,40,20,25,22,23,27,31,33,34,35,36,37,46,41,42,43,44,21,1,47,48,49,50,52],compon:[0,30,46,14,40,16,19,20,23,24,26,37,41,10,7,38,29,32,53,47,49,51],log:[46,20,35,18],area:[25,18],fontwarn:[6,22,26],lor:46,strict:[50,35],compliant:[14,15],interfac:[35,2,20,8,23,36],lot:[19,25,35],lambda:46,buggi:46,categor:26,faster:[50,7,15],pull:35,mathml:[13,41,15,44,45,46,3,51,40,20,11,10,52,8,23,50,9,7,24,36,26],furthermor:[1,14,22,7],possibl:[0,41,35,15,28,31,53,18,40,6,22,50,51,7,38,1],"default":[0,30,5,6,7,9,11,14,40,18,20,25,22,24,26,27,28,43,33,34,35,10,37,39,46,42,47,50,51,52],processescap:[5,46,14,7],buildrel:46,sepecifi:[],notag:46,embed:41,connect:[40,31,51,7],taylor:20,creat:[0,30,4,12,18,19,39,45,28,31,10,38,29,32,35,44,24,1,47,49,51,53],certain:[19,29,49],leftrightsquigarrow:46,risingdotseq:46,varliminf:46,file:[0,2,3,46,6,7,8,10,14,15,17,18,19,20,21,22,24,26,28,29,30,31,33,36,37,39,40,35,44,45,53,49,50,51,52,1],outputjax:[32,16,45,30,39,24],fill:[50,52],again:[46,0,37,45,48],iiiint:46,googl:4,pmod:46,orient:[16,38,32,30],valid:[31,14,50],you:[1,2,3,4,5,6,7,8,9,11,14,15,16,17,18,19,20,25,22,23,24,26,27,28,30,31,33,35,36,37,38,39,40,41,42,43,21,46,47,48,49,50,51,52,53],trash:45,wthin:[],sequenc:[13,7,35,17,46,30,19,49,37],symbol:[46,20],dashv:46,track:[51,4],menuset:[40,22,34],reduc:[46,7],mathcolor:46,lbrace:46,directori:[0,42,15,49,44,45,30,18,40,20,39,22,19,35,10,7,24],descript:[27,43,3,5,6,32,22],lbrack:46,hello:31,calle:38,potenti:1,escap:25,dst:37,negthickspac:46,lvertneqq:46,all:[0,2,30,5,6,7,13,14,15,40,18,19,20,39,22,23,26,27,28,29,3,31,32,37,38,46,41,35,43,44,1,49,50,51],consider:7,illustr:48,dollar:[46,14,48,5,20,7],abil:[50,51,14,35,15],follow:[5,14,42,15,28,31,16,46,30,53,48,40,20,21,19,35,51,7,38,39,26],alt:[3,22],disk:[40,20,7,35],multlinewidth:25,scr:46,articl:44,init:38,program:[32,2,49,16,45,1,30,20,23,51,38],smile:46,cgi:0,introduc:7,programmat:33,multlin:[46,25],vert:46,far:[0,29,35,18],varrho:46,prooblem:[],"1px":[12,46,53],verb:46,mechan:[29,28,17,1,30,19,49,38],difficult:[31,41,49],loadcomplet:[0,37,39,7],veri:8,preferredfont:42,list:[2,30,46,6,8,9,36,37,19,25,22,45,27,28,43,34,35,10,7,5,42,24,1,47,48,11,51,52],"_html":50,emul:50,adjust:[42,3,48,11,8,36,7],plain:46,small:[42,15,18,46,25,51],preceed:5,dimens:15,getalljax:[37,48],lll:46,tex:[2,3,5,6,7,8,9,10,13,14,15,40,19,20,25,22,23,26,27,32,33,35,36,37,39,46,41,42,44,1,48,50,51],zero:17,design:[41,3,4,40,23,36],pass:[0,14,15,28,29,17,1,30,47,19,31,51,37,38,26],overlin:46,further:[17,51,39,1,50],what:[0,4,46,6,13,37,15,20,11,22,23,27,28,43,34,35,7,5,41,42,47,48,50,51],sub:32,section:[3,5,6,9,11,14,15,40,25,22,26,27,31,37,33,34,36,7,46,41,42,43,47,50,52],advanc:[16,13,23,7],abl:[14,42,28,2,20,3,48,19,6,22,8,23,35,36,7],delet:42,version:[13,14,35,15,48,30,3,4,32,40,20,39,7,34,45,10,37,24],sup:46,method:[12,0,14,38,28,29,17,1,3,49,18,19,31,39,7,45,10,37,24,48],hasn:[0,10,14,24,18],full:[0,5,15,16,3,48,40,31,22,23,7],exectu:28,geqslant:46,modular:[23,41],ggg:46,standard:[19,35,44,46,40,20,23,50,51,7,53],modifi:[13,14,2,48,46,18,40,20,39,7,19,37,24],valu:[0,30,46,6,9,12,15,17,19,21,22,25,26,27,28,31,34,37,38,5,41,42,43,53,47,48,11,51,52,1],search:[23,13,37,4],sender:19,prior:[46,22],amount:[6,25,28],action:[0,7,28,29,32,17,46,3,18,19,31,30,39,44,34,49,51,37,48,1],mathjax_wikipedia:3,mml_htmlormml:[14,2,3,40,20,8,50,36,7],magnitud:50,llap:46,via:[0,2,30,40,6,14,15,18,19,20,39,45,26,28,3,34,35,7,38,41,42,1,51],shorthand:48,filenam:[31,14,3,7],href:[46,21,15],inappropri:19,emptyset:46,simbl:3,decrement:17,establish:40,select:[41,35,47,40,11,50,37],proceed:[1,21],x41:46,distinct:16,ctrl:22,regist:[0,7,29,44,30,19,49,39,10,37,24,51],rightsquigarrow:46,asn:51,taken:[19,46,1,48,50],imath:46,ispc:[37,30],vec:46,flat:46,diamond:46,desir:[40,38,3,35],mlongdiv:41,ital:[0,22],flag:22,aleph:46,particular:[12,0,7,35,28,31,44,17,53,46,20,29,49,50,51,37,38],known:1,upsilon:46,mathml3:41,cach:[19,7],showmathmenumsi:[40,11,15],none:[29,27,42,28,43,5,31,22,51,7],outlin:15,det:46,dev:4,histori:[19,29,30,44],remain:[40,44],paragraph:[46,6,51,48,20],caveat:[20,35],def:[46,25,38],deg:46,scan:37,myspan:21,challeng:40,registr:39,share:[20,7,35,4],templat:[36,7,2,8],succneqq:46,minimum:[37,42,15],unreli:14,explor:[0,15,46,3,47,18,40,31,22,50,51,7,26],phrase:[46,20],mathinput:48,huge:46,cours:[1,14,41,7],goal:23,awkward:38,secur:[35,3],rather:[0,30,46,6,9,14,15,17,19,20,39,22,23,45,26,28,7,38,5,41,35,53,48,49,50,51,1],anoth:[29,35,17,1,18,19,49,10,48,51,26],showmathmath:11,csc:46,snippet:[12,13,27,43,4,5,6,21,22,37],ddagger:46,stix:[42,15,44,46,6,35,51,7],showcontext:47,simpl:[50,21,22,18],css:[0,3,46,6,9,13,14,15,20,11,22,24,26,37,41,33,34,35,7,40,32,42,44,45,53,47,48,50,51,52],unabl:6,resourc:15,referenc:6,mtabl:40,variant:44,reflect:[30,48],vdash:46,mstack:41,impliedbi:46,associ:[11,42,28,45,31,39,35,10,37,24,51],welcom:4,mytim:31,lhd:46,footer:7,onto:[44,20,1,37,48],ambigu:16,caus:[0,41,35,1,31,45,46,47,18,5,20,32,25,22,7,19,51,37,29,39,48],callback:[0,32,28,29,16,17,1,30,48,19,31,39,44,49,37,45],firefox3:42,merror:53,unrhd:46,help:[13,14,35,4,20,47,50,7],soon:[7,3,22,48],trade:[50,7],through:[46,14,35,15,29,1,47,19,49,41,50,51,7,38,26],hierarchi:[7,35],paramet:[0,30,46,12,14,15,17,18,20,25,22,24,26,27,28,29,31,37,10,7,38,39,40,43,45,48],style:[12,0,42,15,13,44,46,30,47,18,5,6,21,22,34,11,51,37,45,53],arial:46,border:[12,46,53],x221a:41,processupdatetim:37,x221e:51,late:[44,3],isreadi:[32,30],pend:17,amsmathaddit:1,mathplay:[50,3,15,47,22],might:[0,14,35,31,1,4,19,20,25,7,51,41],alter:[5,48],good:[1,3,4],"return":[12,0,41,38,28,29,17,1,49,18,19,31,39,48,45,10,37,24],textstyl:46,hslash:46,getelementbyid:48,rlap:46,funciton:39,mathscr:46,unlik:[23,7,39],bigcup:46,ntriangleleft:46,iff:46,x2212:[20,51],fulli:[20,1,41],unicod:[46,6,41],x2211:51,forefox:3,subsystem:30,originaltext:45,weight:[21,38],hard:[35,15,4,40,20,7],realli:[31,22],nless:46,expect:[46,50,1,7,22],beyond:4,reduct:50,"try":[35,4,19,20,39,38],shortcom:49,skiptag:5,asynchorn:[1,48],print:[23,53,35],occurr:49,msie:[11,37,52],foreground:53,availablefont:[6,7,42],safari3:42,ast:46,offsetx:42,symbian:15,mml:[32,52,40,20,10,45,51],reason:[0,41,31,1,3,47,18,46,20,25,50,37,39],base:[14,42,35,2,49,16,30,3,32,6,39,45,23,50,7,38],typeet:48,sbe:30,put:[0,14,35,49,46,20,7,26],mathr:46,offseti:42,basi:[50,7,52],succnapprox:46,stanard:46,drupal:2,msbm10:20,showprocessingmessag:[22,26],perhap:[31,7],bumpeq:46,elementjax:[32,16,30,39,10,45],stixgener:46,getelementsbytagnam:3,assign:[5,31],major:[23,50,7,3],dont:51,boxplu:46,feel:4,exchang:44,lastnam:31,number:[0,2,40,6,14,15,18,20,21,22,45,25,28,31,37,10,7,39,32,35,24,1,50],fadeoutstep:6,done:[17,51,7,30,1],least:[50,51,37,7],blank:[29,28,48],stabl:[7,35],miss:[46,28],differ:[46,7,35,28,31,1,48,19,20,49,50,51,37,38],script:[0,2,30,5,8,10,12,14,15,40,19,20,39,22,24,3,37,33,36,7,46,35,45,1,48,50,51],interact:[23,20,51,7,45],smoother:6,construct:[51,1],statement:[1,28],illeg:[21,15,7],store:[12,29,14,42,15,28,45,1,48,31,32,33,7,10,37,24,51],option:[5,6,8,9,13,14,40,20,21,22,25,26,27,43,37,33,34,7,38,39,46,42,47,11,51,52],nleftarrow:46,triangleleft:46,ntrianglerighteq:46,selector:[53,22,18],tex2jax_process:5,part:[5,41,35,28,49,46,8,3,40,20,25,19,23,50,51,7,38,1],pars:[46,15],binom:46,cosh:46,kind:51,aaa:25,prebuilt:20,whenev:[29,41,35],remot:35,remov:[29,7,15,48,45,18,5,22,51,37,24],dtd:20,bridg:[14,45],arrang:28,ffff88:53,comput:[35,37,42],nleqslant:46,img:[27,53,3,5,43,21],preovid:[],packag:[44,7,35,33],expir:12,"null":[12,0,27,42,15,28,29,38,3,18,5,6,32,39,22,48,43,10,37,24,45],built:[13,14,3,50],equival:[12,28,1,48,40,31,21],lim:46,self:[20,41,15],ell:46,also:[3,4,5,12,14,40,16,18,19,20,11,22,45,28,31,35,7,38,46,41,42,44,47,48,49,51],brack:46,build:20,brace:46,distribut:[20,36,14,35,7],appendchild:[12,3],addel:12,reach:7,react:29,most:[19,32,35,15,2,44,30,53,3,40,20,39,28,50,7,38],plan:20,rho:46,alpha:46,rhd:46,vardelta:46,componet:[],clear:[29,42,28,30,18,19],tpl:2,exp:46,latest:[14,35,2,3,4,48,46,20,33,8,50,36,7],leftroot:46,cdata:15,nshortparallel:46,carefulli:[21,48],cdn:[14,35,15,2,3,48,46,20,33,8,50,36,7],finv:46,particularli:[40,50,35],rightleftarrow:46,font:[0,46,6,13,14,15,18,20,21,22,23,25,35,7,11,42,44,53,47,48,49,51],find:[7,4,48,6,33,8,50,51,37],preremoveclass:22,execut:[0,28,17,1,30,19,31,51,7],pretti:35,solut:[20,51,35,4],delayedx:28,"public":35,queu:[17,1,7,28,29],factor:[11,42,15,22],noerror:[40,20,46],tagsid:[25,26],precnsim:46,express:[19,29,1,5,25,22],strut:46,nativ:[41,16,3,40,11,23,50,51,52],mainten:14,greasemonkei:[7,3],konqueror:[50,37],restart:[5,17,1,7,35],ie9:[50,35,15],ie8:[50,15],ie7:50,acut:46,vmatrix:46,common:[13,14,2,20,44,46,41,40,6,21,7,37,39],set:[0,30,5,6,7,9,12,14,15,40,18,19,20,21,22,45,25,26,27,28,29,3,31,33,34,35,37,38,46,32,42,43,44,53,47,48,49,11,51,52,1],overrightarrow:46,startup:[13,7,15,48,30,1,3,32,19,39,22,37],see:[0,30,4,5,6,7,8,10,14,15,40,17,19,20,11,22,26,27,28,29,31,33,34,35,36,37,46,41,42,43,44,53,47,48,49,50,51,1],sec:46,arg:46,ams_hml:7,disadvantag:50,langl:46,inconveni:14,someth:[46,35,4,48,5,20,22],particip:4,won:[1,7,35,15],subscript:[46,15],experi:22,altern:[0,46,31,50,51,38],numer:[37,41],complement:46,javascript:[0,2,3,46,6,8,11,13,14,16,19,20,21,22,23,45,25,26,28,31,34,36,7,38,40,32,42,44,53,47,48,49,50,51,1],isol:15,mailbox:[19,44],bmatrix:46,consumpt:15,distinguish:10,longrightarrow:46,errat:7,classnam:3,popul:30,varsigma:46,last:[0,35,28,17,53,46,37,26],delimit:[46,14,15,5,20,51,7],hyperlink:51,event:[0,15,44,3,48,19,49,22,51],nvdash:46,context:[5,47,22,28],overset:46,hbar:46,whole:[27,49,48,5,43,37],load:[0,2,3,46,7,10,13,14,15,17,18,19,20,39,22,23,24,28,29,30,31,33,36,37,40,32,35,44,1,48,49,50,51],markdown:51,simpli:[5,14,35,28,43,17,46,48,40,31,27,22,7,23,37,39,33],point:[46,17,7,20],instanti:38,schedul:31,usemathmlspac:9,header:[7,35,2,8],suppli:[37,45,28],simplu:39,mistak:21,zeta:46,laod:39,gneq:46,devic:[14,15,7],due:14,empti:[32,42,28,1,30,22,51],otherwis:[0,7,28,46,18,40,20,32,8,50,37,38],dur:37,strategi:50,invis:35,fire:[30,7,3,31],imag:[14,42,15,43,3,27,5,6,21,23,35,7],coordin:[17,51,1],understand:[40,51],demand:40,urcorn:46,convers:46,blacksquar:46,bbfont:[],solid:[12,46,53],pitchfork:46,lvert:46,"while":[12,0,14,35,20,52,46,3,19,6,41,22,49,50,51,7,29,1],blacktriangleleft:46,nprec:46,abov:[12,46,14,42,15,28,20,1,3,48,5,6,22,31,35,50,7,38],circlearrowright:46,mbox:46,everyon:19,loop:[25,45],pack:15,subsect:39,measuredangl:46,vartriangl:46,eqslantless:46,biguplu:46,itself:[46,14,35,1,28,29,17,53,30,32,19,41,22,7,45,51,37,38,39,26],overleftarrow:46,limit:[12,0,41,46,25,7],rightarrow:46,xleftarrow:46,shorten:18,shorter:15,redisplai:18,attibut:53,conflict:[51,15],upuparrow:46,optim:[50,15],domin:44,alert:[19,31,1,28],jsmath2jax:[27,15,26,33],hander:[],pulicis:29,user:[3,4,46,6,13,18,19,20,11,22,23,28,33,34,35,7,40,41,42,47,48,50,51],robust:[19,44],stack:25,recent:[23,3],lower:[32,15,30,18,46,22],task:46,older:[7,35],entri:[44,17,53,15],searchabl:23,ngeqq:46,textit:46,curvearrowleft:46,normals:46,scriptsiz:46,fallingdotseq:46,explan:20,rvert:46,obscur:[15,18],press:22,amp:[46,15],regardless:48,cup:46,blacklozeng:46,ffeeee:46,notifi:19,input:[3,46,8,9,36,14,15,19,20,39,22,24,25,26,37,32,33,10,7,38,40,41,44,45,1,48,50,51],subsequ:[46,39],oslash:46,trueli:48,march:13,format:[13,14,42,44,45,46,11,40,20,21,22,23,50,10,41,24,51],big:[46,35,26],moodl:2,tomathml:[40,45],game:46,insert:[27,28,3,5,43,39,22,8,36,37,24,51],bit:[11,38],diagup:46,semi:53,varkappa:46,signal:[29,7,28,49,16,30,32,19,31,39,44,37],altough:31,resolv:15,collect:[31,53,45,1,28],api:[16,13,23,20],mathrel:46,swarrow:46,scrip:14,gtrless:46,lastest:[],creation:[10,30],some:[2,3,46,6,14,16,17,19,20,39,22,23,24,26,28,31,37,35,10,7,38,40,41,42,45,1,11,48,50,51,52],back:[6,35,45],emph:46,global:[16,50,32,28,48],urgent:7,sampl:[35,49,53,30,48,19,20,22,50],instal:[13,14,42,15,20,35,46,6,8,23,50,7],scale:[23,11,42,15,22],flux:1,delimt:[],substitut:25,mathemat:[0,3,5,6,8,10,11,7,15,40,19,20,25,22,23,24,27,43,33,34,35,36,37,39,46,41,42,44,45,1,47,48,50,51],larg:[46,0,14,7],temprorari:[],slash:[],prod:46,reproduc:48,sqsubseteq:46,tex2jax:[5,14,15,48,46,3,32,40,20,41,22,51,7,26],machin:[44,35],garamond:46,previou:[31,1,29,28,18],run:[0,3,5,6,9,37,17,19,20,25,27,28,30,43,35,7,29,41,42,31,1,11,48,49,50,51,52],doteqdot:46,odot:46,step:[6,51,30,2,20],hookleftarrow:46,varsubsetneq:46,impor:[],impos:35,ngeqslant:46,reappear:18,materi:[15,48],dialog:15,rangl:46,succcurlyeq:46,gamma:46,file3:1,file2:[0,1],file1:[0,1],file4:1,bmod:46,msam10:20,prec:46,isjax:37,chang:[11,14,42,15,2,48,3,47,18,20,25,7,35,51,37,45],announc:49,triangl:46,question:[20,39,4],fast:[14,15,7],custom:[46,15,18,40,20,23,50],adjac:15,perp:46,includ:[0,2,30,5,6,7,9,11,14,15,40,16,19,20,21,22,23,25,26,27,28,3,31,32,33,34,35,10,37,39,46,41,42,43,53,47,48,50,51,52,1],suit:[6,14,41,7,20],nativemml:[41,52,47,40,11,50,51,24,26],overleftrightarrow:46,ulcorn:46,properli:[12,0,14,35,15,20,45,1,3,48,6,41,31,37,38],poster:29,atop:46,loadhook:[0,37,31],serif:[46,0,53],link:[14,35,15,2,20,16,6,49,7],translat:[51,10,39,24,15],delta:46,line:[46,14,35,15,2,30,3,5,20,27,7,50,51,41,26],enspac:46,rmoustach:46,qquad:46,divideontim:46,geqq:46,similar:[49,35,28],enlarg:34,constant:[19,25],doesn:[19,42,28,45,46,3,40,22,35,7,38],repres:[12,27,20,53,18,5,6,21,22,23,43,24,51],mathdiv:[12,31,1,48],tbinom:46,home:0,constortium:[],phantom:46,iiint:46,titl:[20,48],sequenti:[49,1,30],invalid:[46,21],llcorner:46,toaudibl:45,bracket:[46,21,22],shoveleft:46,xrightarrow:46,department:35,supseteq:46,nice:3,delayclear:42,msup:[20,51],alttext:43,varsubsetneqq:46,eval:28,newcommand:46,svn:[20,14,35],rightharpoonup:46,land:46,mimetyp:[45,10,39,24],svg:[51,15],supseteqq:46,liminf:46,depth:46,dot:46,leak:45,scroll:36,prototyp:38,code:[0,3,4,5,8,12,13,14,40,17,19,20,21,22,27,28,29,30,31,37,7,46,32,43,44,53,48,49,11,1],partial:46,queri:51,tiddlywiki:2,edu:35,privat:[49,39,35],elsewher:48,send:[19,29,7],becam:44,sens:51,sent:[19,29,37,44],actiontyp:42,unzip:35,gnsim:46,xxxxxxxx:[20,35],mous:[51,47,42,15,34],tri:[46,0,14,42],ischrom:37,mathit:46,button:35,geograph:7,fewer:40,nleq:46,userscript:3,maction:[42,15],pleas:[21,4],impli:[46,41],smaller:[40,0,15],fortun:19,arctan:46,natur:[23,20,46,35,51],varupsilon:46,download:[0,14,35,15,6,20,22,51,7],fullnam:31,hspace:46,click:[42,47,40,11,22,34,8,35,51,7],append:[12,35],compat:[44,50,7,15,22],index:[20,35,2],access:[46,35,15,2,31,45,1,47,40,20,29,23,7,38],mathjax:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53],backprim:46,vargamma:46,closur:[31,28,48],leq:46,let:[14,35,41,3,47,20,21,50,37,52],sinh:46,becom:[14,35,28,1,4,19,41,38],sinc:[0,46,14,15,40,17,19,20,25,22,28,37,7,38,29,41,53,11,48,49,50,51,1],tex4ht:51,rtime:46,convert:[13,41,28,46,3,18,5,33,23,51,24],sqcap:46,larger:[40,20,51,7],technolog:[40,23,7,4],zscale:22,circledast:46,typic:[5,46,10,7,35],honor:35,chanc:[5,19,29,20],firefox:[35,15,3,50,37,52],rgroup:46,appli:[46,35,7,38],iskonqueror:37,lessgtr:46,"boolean":37,smallmatrix:46,cloud:[14,7],from:[0,2,30,46,7,10,13,14,15,18,19,20,25,22,24,27,29,3,31,33,35,36,37,38,39,5,32,42,43,45,1,47,48,50,51],zip:[20,35,15],commun:[19,13,4,20],chi:46,doubl:[40,7,25,22,34],upgrad:[6,35,4,13],varphi:46,next:[46,49,45,48],implic:35,few:[46,20,35,33],msqrt:[20,51],bowti:46,simpler:18,newmath:48,src:[5,14,2,43,46,3,27,48,40,20,21,33,7,8,50,36,37,1],nsubseteq:46,doublebarwedg:46,projlim:46,"4ac":20,actual:[12,0,41,28,17,46,48,19,31,22,7,10,37,24,1],versionatleast:37,account:12,alik:3,retriev:12,augment:[38,10,39,24],aperson:31,thin:25,control:[5,27,42,35,20,46,7,47,40,6,25,22,34,43,50,9,37,52,53,11],tau:46,tar:35,process:[0,3,5,7,12,13,14,15,40,17,18,19,20,25,22,24,26,27,30,31,33,10,37,39,46,41,43,45,1,48,50,51,52],dfrac:46,preformat:15,high:[23,50,51],tag:[2,30,46,8,14,15,19,20,21,22,24,25,26,3,43,37,33,10,7,5,41,35,45,48,51],tan:46,prece:31,delai:[0,7,42,28,29,47,18,40,22,34,19,37],fontwarns:53,gcd:46,pure:41,getelementsbytagnamen:3,subdirectori:[35,10,24,45],instead:[46,14,35,15,31,17,1,48,19,20,51,7],class4:38,class2:38,sin:46,sim:46,class1:38,simplesup:38,frac:46,overridden:[42,24,18,39,45,10,38],mspace:[46,20,41,15],anothermethod:38,frak:46,filtertext:18,redund:[38,22],essenti:[40,46,51,7,38],light:[46,38],correspond:[37,42,33,7],element:[30,5,6,12,37,15,40,19,20,21,24,27,29,43,32,10,7,38,46,41,42,45,53,48,49,51,1],issu:[0,41,4,18,22,51,7],unaccept:50,allow:[2,3,46,14,15,18,19,20,21,22,23,25,31,34,35,7,38,29,41,42,44,53,47,11,1],fallback:[35,42],mjx:12,fastest:50,nonumb:[],move:[35,14,42],nsucc:46,comma:[53,3,46,22,7,26],dagger:46,mathjax_tooltip:42,movabl:[36,2],chosen:50,coth:46,varxi:46,therefor:46,pixel:42,multimap:46,crash:22,greater:46,handl:[0,14,15,49,44,46,3,32,19,6,41,7,11,1,37,52,39],supsetneq:46,nokia:15,innermost:21,dai:12,automat:[46,17,1,18,5,20,39,50,51,7,38],front:[40,15],successor:33,gggtr:46,sourceel:[19,45,24,48],anyth:[19,26,4],edit:[7,2,8],smallfrown:46,mode:[46,42,15,5,20,33,35,50,51],varomega:46,"2em":46,genfrac:46,subset:46,delaypost:42,nointerest:29,meta:50,"static":38,our:[14,35,15,4,20,36],meth:39,ie6:42,special:[46,41,31,53,5,20,22,7,49,23,50,51,37],out:[0,14,42,35,1,19,6,11,50,51],variabl:[32,28,16,3,30,48,46,31,38],lesseqqgtr:46,matrix:46,categori:1,rel:[0,11,42,15],moveabl:[36,2],merg:[12,37],ref:37,red:[46,20,21],negthinspac:46,nsucceq:46,insid:[15,2],workflow:41,manipul:48,eqslantgtr:46,releas:[20,7,3,35],bleed:15,indent:[25,22],could:[0,14,31,16,46,4,48,19,20,41,7,51,37,45,1],ask:[4,48,20,25,51,7],succ:46,keep:[14,35,2,44,48,46,20,50,51,7],gtreqqless:46,length:[3,28],outsid:[5,50],"0em":22,uproot:46,unexpectedli:[46,20],rbrace:46,blogger:2,rbrack:46,precapprox:46,spadesuit:46,date:[20,14,35,15,7],uplu:46,clubsuit:46,bigsqcup:46,suffic:20,"long":[46,20,1,15,47],start:[0,14,35,1,28,13,46,30,49,51,19,20,21,22,8,36,7,29,39],unknown:41,system:[35,2,20,4,46,6,23,50],messag:[0,14,35,44,20,16,46,30,49,18,40,6,32,39,22,19,37,29],attach:[19,29,49],termin:5,iota:46,rsh:46,supset:46,"1em":41,gtreqless:46,hdashlin:46,exactli:50,blind:51,ipad:15,gtrdot:46,subsetneq:46,structur:[0,7,28,31,44,48,19,20,32,37,26],charact:[46,41,42,15,53,5,6,25,22,51],htaccess:35,seriou:51,disrtibut:[],bet:35,exhibit:35,"function":[0,28,29,44,17,46,3,48,19,31,30,49,51,37,38,1],biggl:46,biggm:46,rrightarrow:46,unkown:37,lightli:50,tabl:41,need:[0,1,2,3,4,5,6,7,8,10,14,15,17,18,19,20,25,22,23,24,28,30,31,35,36,37,38,39,40,41,42,44,45,46,48,49,11,51,53],turn:[12,5,14,28,29,40,41,11],biggr:46,min:46,mid:46,which:[2,30,5,7,10,14,15,40,18,19,20,21,22,24,25,26,27,28,29,3,31,32,33,34,35,36,37,38,46,41,42,43,45,53,48,50,51,1],hbox:46,mit:46,singl:[0,14,15,28,49,16,46,48,5,20,32,23,1,7,53],declaremathoper:46,mathjax_preview:[27,53,5,43,22,51],x22d6:46,unless:[20,15,28,50],who:[19,29,4],eight:50,leftthreetim:46,comparison:[1,37],"class":[38,46,32,15,28,29,16,17,5,39,22,45,10,24,51,33],underset:46,placement:15,url:[0,14,35,15,3,47,40,20,7],gather:46,request:[0,15,29,46,30,19,31,50,7,1],face:[35,4,6,25,42,26],inde:[3,26],movablelimit:15,nmid:46,determin:[7,42,2,30,46,11,22,37],starup:[],occasion:7,fact:[29,14,39],backsimeq:46,mathjax_messag:18,leftarrowtail:46,verbos:[44,31,22],perfom:49,perfor:[],bracevert:46,woth:41,curlyeqsucc:46,inlin:[5,20,14],locat:[0,14,35,20,30,48,5,6,27,22,7,19,43,37,24,51,33],jax:[30,40,9,14,15,16,19,25,22,24,26,3,37,33,10,7,38,39,11,32,42,44,45,53,48,50,51,52],vartriangleright:46,forev:3,should:[3,5,8,36,14,40,17,20,21,22,24,25,27,28,29,31,37,33,10,7,39,46,41,35,43,53,48,50,52,1],imagefont:[6,42],vartriangleleft:46,suppos:[31,14,48],"5px":12,triangleright:46,"5pt":20,local:[35,28,20,1,3,48,6,22,7],hope:[6,14],precsim:46,notat:[44,46,20,23,51,7],looparrowright:46,increas:[14,15],bigstar:46,leqslant:46,smash:46,enabl:[46,14,2,5,20,8,36,7],organ:51,frown:46,stuff:37,integr:2,contain:[0,2,3,5,6,12,37,40,16,17,18,19,20,39,22,45,27,28,29,31,35,7,46,32,42,43,53,48,51,1],typset:[],conform:20,coooki:12,frame:18,apolog:14,temporarili:18,troubl:20,issafari:37,asynchron:[0,32,28,29,44,17,1,19,31,49,37],statu:[0,35,31],error:[0,14,46,3,4,40,20,41,22,10,37,24,39],jmath:46,pattern:[5,22],gtrsim:46,favor:14,state:1,quickest:20,theta:46,neither:[6,21],equiv:[46,50],omicron:46,nshortmid:46,kei:[12,0,28,29,17,19,22,37],entir:[37,7,48],closebox:6,ker:46,thumb:1,skipstartuptypeset:22,plugin:[2,47,22,8,23,50,51],admin:[36,8],nabla:46,equal:[1,37,38],gnapprox:46,etc:[46,1,7,22,48],eta:46,equat:[5,27,42,15,43,35,46,48,40,20,25,22,23,50,51,45],futher:[],class3:38,eth:46,limiti:35,lmoustach:46,onchang:48,comment:[15,53,40,20,22,7],varnoth:46,arriv:[19,49],solv:[7,3],arguement:31,sqcup:46,quit:48,showfontmenu:47,"55em":46,quotat:53,bbb:46,sqsupseteq:46,treat:[46,20],immedi:[0,17,1,30,48,19,7],smallsetminu:46,both:[0,14,15,31,44,1,30,40,20,41,22,7,8,36,37,38],alignat:46,varsupsetneq:46,otf:[35,15],psi:46,togeth:[14,28,1,40,41,37],injlim:46,present:[29,41,4,6,22,7],twoheadrightarrow:46,multi:46,iscallback:28,displaylin:46,align:[46,41,22],contextu:[13,41,42,47,40,11,22,34,50,51,45],studentdisplai:48,defin:[46,14,42,34,20,30,53,3,7,47,40,6,25,22,31,11,1,37,38,39,26],glossari:[44,13],layer:[15,2],almost:46,curvearrowright:46,site:[14,35,2,40,20,22,23,36,7],archiv:[20,35],substanti:[14,7],revis:35,halt:49,curlywedg:46,displaystyl:[46,48],parti:19,cross:35,sqrt:[46,20,51],getx:38,extensiondir:39,oint:46,android:15,cssid:[46,15],curlyve:46,phi:46,http:[14,35,2,3,47,48,46,20,33,8,50,36,7],lleftarrow:46,"8em":[46,25],effect:[17,1,3],mrow:[20,51,41],student:48,php:[2,8],trake:[],executehook:[29,28],off:[46,15,40,49,11,50,7],center:[46,22],well:[19,35,28,31,53,4,48,40,20,39,22,49,50,7],exampl:[0,3,4,46,6,7,9,11,12,14,15,17,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,10,37,38,5,41,42,43,45,53,47,48,49,50,51,52,1],command:[41,35,28,44,17,1,30,48,46,22,7,37],choos:[46,20,50],undefin:[46,20,28,31],setx:38,subsetneqq:46,sibl:15,usual:[28,31,1,46,6,39,22,51,7],curlyeqprec:46,paus:35,less:[46,35,5,20,51,37],natiov:[],obtain:[14,35,48,40,20,22,51,7,24],mistaken:51,mathclos:46,mathoutput:48,simultan:[1,30],web:[13,14,42,15,2,20,30,46,3,49,48,19,6,33,45,23,35,51,7,29,1],current_them:2,smith:31,textbf:46,cdotp:46,atopwithdelim:46,book:44,match:[5,29,42],webpag:33,piec:15,varpropto:46,punctuat:15,know:[29,31,3,19,20,10,7,24,51],cfrac:46,mathinn:46,recurs:[37,15],mho:46,nofont:6,like:[3,46,15,17,18,19,20,23,26,28,29,31,33,10,7,5,41,35,44,53,48,49,50,51,1],lost:31,messagehook:[19,29,37],necessari:[23,20,37,45,7],page:[2,30,5,6,7,8,12,13,14,15,40,16,18,19,20,11,22,23,45,27,29,3,31,33,35,36,37,46,41,42,43,1,47,48,49,50,51],captur:44,settext:12,linux:37,bigve:46,"export":45,superclass:38,proper:[29,37],guarante:[0,1,48,17],librari:[16,1,32,35],glyph:[46,44],kern:46,assum:48,avoid:[14,15,46,21,22,51,41],tooltip:42,leav:[12,25,52,48],doublecap:46,supsetneqq:46,preload:[0,20],twoheadleftarrow:46,daleth:46,upharpoonright:46,journal:44,usag:13,host:[14,7],sphericalangl:46,although:[16,29,35,52],offset:42,panel:46,varepsilon:46,about:[19,14,42,15,28,20,46,7,4,48,40,6,11,22,31,49,35,51,37,29],ams_html:[46,14,48,40,33,7],rare:1,column:25,mathajx:14,mod_head:35,mapsto:46,constructor:38,fals:[5,42,15,29,46,3,47,40,11,22,9,37,38,26],bigoplu:46,eqalign:46,own:[14,35,15,20,16,1,4,46,6,49,50,10,7,24,51,26],amsmath:[46,14,1,40,20,25,7],circledr:46,reprocessor:[],maxbuff:25,bigtriangledown:46,guard:22,vphantom:46,circlearrowleft:46,dcocument:37,transfer:[20,35],support:[13,14,42,15,20,30,46,3,4,32,40,6,41,23,50,51,7,52,11],much:[19,50,7,44,49],bigcap:46,tracker:[20,4],arg1:31,"var":[12,28,1,3,48,19,31,38],stai:7,arg2:31,deliveri:[20,15],propto:46,unexpect:[11,22],precnapprox:46,studentansw:48,bodi:[0,14,48,20,10,7,24],gain:[50,47],lgroup:46,bug:[12,14,35,15,4,18,20,22,51,7],count:3,made:[35,1,4,49,51,45,26],bbbk:46,whether:[46,27,42,43,3,47,48,5,31,11,22,7,9,37,52],wish:[14,31,53,3,4,46,20,7,50,37],displai:[46,6,12,13,15,18,19,20,25,22,23,45,27,33,34,7,5,41,35,24,47,48,51],substack:46,underleftrightarrow:46,mathord:46,gtrapprox:46,below:[2,46,6,9,11,12,37,20,21,22,45,25,27,43,34,35,10,7,5,42,24,47,49,50,51,52],sideset:46,"_htmlormml":50,problem:[14,35,15,31,3,4,46,20,50,51,7],x03c0:51,"int":[12,46,31],dure:[15,28,19,39,37,45],novemb:14,implement:[12,0,14,16,46,40,31,41,19,50,51,38,39],nolimit:46,inf:46,rightleftharpoon:46,probabl:[19,31,7,2],oplu:46,helpurl:47,immateri:1,percent:[11,42],detail:[0,5,6,7,8,13,14,15,40,17,19,20,11,22,27,28,29,43,33,34,35,36,37,46,41,42,1,47,48,49,50,51],lesseqgtr:46,other:[0,2,30,5,6,7,14,15,40,17,18,19,20,39,22,23,45,28,29,31,33,35,37,38,46,41,42,44,1,11,48,49,50,51,52],futur:[0,4,18,19,49,50,45],branch:[7,35],varieti:51,downlaod:[23,15],removeaft:6,mehtod:39,repeat:[35,2],star:46,liter:5,thicksim:46,msgroup:41,reflow:15,sphinx:2,scientif:44,reliabl:[50,14,3,7],rule:[46,6,9,1,22],mathjax_mathml:3,portion:48,eot:35},objtypes:{"0":"py:method"},titles:["The MathJax.Ajax Object","Using Queues","Using MathJax in popular web platforms","Loading MathJax Dynamically","The MathJax Community","The tex2jax Preprocessor","The FontWarnings extension","Loading and Configuring MathJax","Installing MathJax in WordPress","The MathML input processor","The MathJax.InputJax Class","The NativeMML output processor","The MathJax.HTML Object","MathJax Documentation","Migrating from MathJax v1.0 to v1.1","What’s New in MathJax v1.1","The MathJax API","The MathJax.Callback.Queue Class","The MathJax.Message Object","Using Signals","Getting Started","Describing HTML snippets","The Core Configuration Options","What is MathJax?","The MathJax.OutputJax Class","The TeX input processor","Configuration Objects","The jsMath2jax Preprocessor","The MathJax.Callback Class","The MathJax.Callback.Signal Class","The MathJax Startup Sequence","Using Callbacks","The MathJax variable","Converting to MathJax from jsMath","The MathZoom extension","Installing and Testing MathJax","Using MathJax in Movable Type","The MathJax.Hub Object","The MathJax Object-Oriented Programming Model","The Base Jax Class","Common Configurations","MathJax MathML Support","The HTML-CSS output processor","The mml2jax Preprocessor","Glossary","The MathJax.ElementJax Class","MathJax TeX and LaTeX Support","The MathMenu extension","Modifying Math on the Page","Synchronizing your code with MathJax","MathJax Output Formats","The MathJax Processing Model","The MMLorHTML configuration options","CSS Style Objects"],objnames:{"0":"Python method"},filenames:["api/ajax","queues","platforms/index","dynamic","community","options/tex2jax","options/FontWarnings","configuration","platforms/wordpress","options/MathML","api/inputjax","options/NativeMML","api/html","index","upgrade","whats-new","api/index","api/queue","api/message","signals","start","HTML-snippets","options/hub","mathjax","api/outputjax","options/TeX","options/index","options/jsMath2jax","api/callback","api/signal","startup","callbacks","api/variable","jsMath","options/MathZoom","installation","platforms/movable-type","api/hub","api/object","api/jax","config-files","mathml","options/HTML-CSS","options/mml2jax","glossary","api/elementjax","tex","options/MathMenu","typeset","synchronize","output","model","options/MMLorHTML","CSS-styles"]}) +\ No newline at end of file diff --git a/docs/html/tex.html b/docs/html/tex.html @@ -78,7 +78,7 @@ environments. You must use HTML to handle such formatting tasks. If you need a LaTeX-to-HTML converter, you should consider <a class="reference external" href="http://www.google.com/search?q=latex+to+html+converter">other options</a>.</p> <div class="section" id="tex-and-latex-math-delimiters"> <h2>TeX and LaTeX math delimiters<a class="headerlink" href="#tex-and-latex-math-delimiters" title="Permalink to this headline">¶</a></h2> -<p>By default, the <cite>tex2jax</cite> preprocesor defines the LaTeX math delimiters, +<p>By default, the <cite>tex2jax</cite> preprocessor defines the LaTeX math delimiters, which are <tt class="docutils literal"><span class="pre">\(...\)</span></tt> for in-line math, and <tt class="docutils literal"><span class="pre">\[...\]</span></tt> for displayed equations. It also defines the TeX delimiters <tt class="docutils literal"><span class="pre">$$...$$</span></tt> for displayed equations, but it does <strong>not</strong> define <tt class="docutils literal"><span class="pre">$...$</span></tt> as in-line math @@ -108,7 +108,7 @@ math delimiter.)</p> options</em></a> page, for additional configuration parameters that you can specify for the <cite>tex2jax</cite> preprocessor, which is the component of MathJax that identifies TeX notation within -the page).</p> +the page.</p> </div> <div class="section" id="tex-and-latex-in-html-documents"> <h2>TeX and LaTeX in HTML documents<a class="headerlink" href="#tex-and-latex-in-html-documents" title="Permalink to this headline">¶</a></h2> @@ -120,7 +120,7 @@ Also, since the mathematics is initially given as text on the page, you need to be careful that your mathematics doesn’t look like HTML tags to the browser (which parses the page before MathJax gets to see it). In particular, that means that you have to be careful about -things like less-than and greater-than signs (<tt class="docutils literal"><span class="pre"><``and</span> <span class="pre">``></span></tt>), and +things like less-than and greater-than signs (<tt class="docutils literal"><span class="pre"><</span></tt> and <tt class="docutils literal"><span class="pre">></span></tt>), and ampersands (<tt class="docutils literal"><span class="pre">&</span></tt>), which have special meaning to the browsers. For example,</p> <div class="highlight-latex"><div class="highlight"><pre>... when <span class="s">$</span><span class="nb">x<y</span><span class="s">$</span> we have ... @@ -131,10 +131,10 @@ beginning of a tag named <tt class="docutils literal"><span class="pre">y</span> HTML). When this happens, the browser will think the tag continues up to the next <tt class="docutils literal"><span class="pre">></span></tt> in the document (typically the end of the next actual tag in the HTML file), and you may notice that you are missing -part of the text of the document. In the example above, the `` we -have ...`` will not be displayed because the browser thinks it is +part of the text of the document. In the example above, the “<tt class="docutils literal"><span class="pre">we</span> +<span class="pre">have</span> <span class="pre">...</span></tt>” will not be displayed because the browser thinks it is part of the tag starting at <tt class="docutils literal"><span class="pre"><y</span></tt>. This is one indication you can -use to spot this prooblem; it is a common error and should be avoided.</p> +use to spot this problem; it is a common error and should be avoided.</p> <p>Usually, it is sufficient to simply put spaces around these symbols to cause the browser to avoid them, so</p> <div class="highlight-latex"><div class="highlight"><pre>... when <span class="s">$</span><span class="nb">x < y</span><span class="s">$</span> we have ... @@ -261,18 +261,18 @@ the paragraph, use</p> <span class="p">}</span> </pre></div> </div> -<p>You may also wish to set the font family, as the default is “serif”</p> +<p>You may also wish to set the font family, as the default is “serif”.</p> </div> <div class="section" id="noundefined"> <h3>noUndefined<a class="headerlink" href="#noundefined" title="Permalink to this headline">¶</a></h3> <p>The <cite>noUndefined</cite> extension causes undefined control sequences to be shown as their macro names rather than generating error messages. So -<tt class="docutils literal"><span class="pre">$X_{\xxx}$</span></tt> would display as an “X” with a subscript consiting of the +<tt class="docutils literal"><span class="pre">$X_{\xxx}$</span></tt> would display as an “X” with a subscript consisting of the text <tt class="docutils literal"><span class="pre">\xxx</span></tt> in red.</p> <p>This extension is loaded by all the combined configuration files that include the TeX input processor. To enable the <cite>noUndefined</cite> extension in your own configuration, or to modify its parameters, add something like -the following ro your <tt class="xref py py-meth docutils literal"><span class="pre">MathJax.Hub.Config()</span></tt> call:</p> +the following to your <tt class="xref py py-meth docutils literal"><span class="pre">MathJax.Hub.Config()</span></tt> call:</p> <div class="highlight-javascript"><div class="highlight"><pre><span class="nx">TeX</span><span class="o">:</span> <span class="p">{</span> <span class="nx">extensions</span><span class="o">:</span> <span class="p">[</span><span class="s2">"noUndefined.js"</span><span class="p">],</span> <span class="nx">noUndefined</span><span class="o">:</span> <span class="p">{</span> @@ -864,7 +864,6 @@ be loaded automatically when the macro or environment is first used.</p> <span class="k">\nolimits</span> <span class="k">\normalsize</span> <span class="k">\not</span> -<span class="k">\notag</span> AMSmath <span class="k">\notag</span> [AMSmath] <span class="k">\notin</span> <span class="k">\nparallel</span> AMSsymbols @@ -1078,8 +1077,7 @@ be loaded automatically when the macro or environment is first used.</p> </div> <div class="section" id="t"> <h3>T<a class="headerlink" href="#t" title="Permalink to this headline">¶</a></h3> -<div class="highlight-latex"><div class="highlight"><pre><span class="k">\tag</span> AMSmath -<span class="k">\tag</span> [AMSmath] +<div class="highlight-latex"><div class="highlight"><pre><span class="k">\tag</span> [AMSmath] <span class="k">\tan</span> <span class="k">\tanh</span> <span class="k">\tau</span> @@ -1226,7 +1224,7 @@ be loaded automatically when the macro or environment is first used.</p> <div class="section" id="environments"> <h3>Environments<a class="headerlink" href="#environments" title="Permalink to this headline">¶</a></h3> <p>LaTeX environments of the form <tt class="docutils literal"><span class="pre">\begin{XXX}</span> <span class="pre">...</span> <span class="pre">\end{XXX}</span></tt> are -preovided where <tt class="docutils literal"><span class="pre">XXX</span></tt> is one of the following:</p> +provided where <tt class="docutils literal"><span class="pre">XXX</span></tt> is one of the following:</p> <div class="highlight-latex"><div class="highlight"><pre>align [AMSmath] align* [AMSmath] alignat [AMSmath] diff --git a/docs/html/upgrade.html b/docs/html/upgrade.html @@ -97,7 +97,7 @@ details.</p> <p>If your page simply loads <tt class="docutils literal"><span class="pre">MathJax.js</span></tt> and relies on <tt class="docutils literal"><span class="pre">config/MathJax.js</span></tt>, then you will need to modify your <tt class="docutils literal"><span class="pre"><script></span></tt> tag in order to use MathJax v1.1. This is because MathJax no longer loads a -default configuration file; you are required to explicity specify the +default configuration file; you are required to explicitly specify the configuration file if you use one. Furthermore, the name of the <tt class="docutils literal"><span class="pre">config/MathJax.js</span></tt> file was a source of confusion, so it has been renamed <tt class="docutils literal"><span class="pre">config/default.js</span></tt> instead. Thus, if you used</p> @@ -180,7 +180,7 @@ and reliable.</p> <tt class="docutils literal"><span class="pre">text/x=mathajx-config</span></tt> block to configure MathJax in-line. <a class="reference internal" href="configuration.html#loading-cdn"><em>More details</em></a> are available, if you need them.</p> <p>The use of <tt class="docutils literal"><span class="pre">cdn.mathjax.org</span></tt> is governed by its <a class="reference external" href="http://www.mathjax.org/download/mathjax-cdn-terms-of-service/">terms of service</a>, so be -sure to read that before linked to the MathJax CDN server.</p> +sure to read that before linking to the MathJax CDN server.</p> </div> <div class="section" id="change-in-default-tex-delimiters"> <h2>Change in default TeX delimiters<a class="headerlink" href="#change-in-default-tex-delimiters" title="Permalink to this headline">¶</a></h2> @@ -257,7 +257,7 @@ GitHub. This will allow you to keep your copy of MathJax up to date as development continues.</p> <p>We apologize for the inconvenience of having to switch distributions, but the git-to-svn bridge we tried to implement to keep both copies in synch -turned out to be unreliable, and so the SourceForge disrtibution was +turned out to be unreliable, and so the SourceForge distribution was retired in favor of the GitHub site.</p> </div> </div> diff --git a/docs/source/community.rst b/docs/source/community.rst @@ -7,7 +7,7 @@ the wider community of MathJax users. The MathJax project maintains forums where users can ask questions about how to use MathJax, make suggestions about future features for MathJax, and present their own solutions to problems that they have faced. There is also a -bug-traking system where you can report errors that you have found +bug-tracking system where you can report errors that you have found with MathJax in your environment. @@ -26,7 +26,7 @@ place to find the examples you are looking for. If you want to discuss MathJax development, please use the `MathJax Dev Google Group <http://groups.google.com/group/mathjax-dev>`_. We made this group to discuss anything beyond what an end-user might be interested in, so if you -having any suggestions or questions about MathJax performance, technology, or +have any suggestions or questions about MathJax performance, technology, or design, feel free to submit it to the group. The community is only as good as the users who participate, so if @@ -46,7 +46,7 @@ and work hard to respond to problems quickly. Before you create a new issue, however, please search the issues to see if it has already been reported. You could also be using an outdated version of MathJax, so be sure to :ref:`upgrade your copy <getting-mathjax-git>` to verify -that the problem persists in the lastest version. +that the problem persists in the latest version. .. _badge: diff --git a/docs/source/mathml.rst b/docs/source/mathml.rst @@ -16,7 +16,7 @@ Because of MathJax's modular design, you do not need to use all three of these components. For example, you could use the `tex2jax` preprocessor and the TeX input processor, but the NativeMML output processor, so that your mathematics is entered in TeX format, but -displayed as MathML. Or you could use the `mml2jax` reprocessor and +displayed as MathML. Or you could use the `mml2jax` preprocessor and MathML input processor with the HTML-CSS output processor to make MathML available in browsers that don't have native MathML support. It is also possible to have MathJax select the output processor for @@ -42,7 +42,7 @@ even with a pure MathML workflow. MathML in HTML pages ==================== -For MathML that is handled via the pre-processor, you should not use +For MathML that is handled via the preprocessor, you should not use the named MathML entities, but rather use the numeric entities like ``√`` or unicode characters embedded in the page itself. The reason is that entities are replaced by the browser before MathJax @@ -87,7 +87,7 @@ The deficiencies include: ``msgroup``, ``msrow``, ``mscarries``, and ``mscarry``. - Limited support for line breaking (they are only allowed in direct - children of ``mrow`` or implied ``mrow`` elements. + children of ``mrow`` or implied ``mrow`` elements). - No support for alignment groups in table. diff --git a/docs/source/options/FontWarnings.rst b/docs/source/options/FontWarnings.rst @@ -23,76 +23,76 @@ would set the ``fadeoutTime`` option to 2000 milliseconds (2 seconds). .. describe:: messageStyle: { ... } - This sets the CSS styles to be used for the font warning message - window. See the ``extensions/FontWarnings.js`` file for details of - what are set by default. See the :ref:`CSS style objects - <css-style-objects>` for details about how to specify CSS styles - via javascript objects. + This sets the CSS styles to be used for the font warning message + window. See the ``extensions/FontWarnings.js`` file for details of + what are set by default. See the :ref:`CSS style objects + <css-style-objects>` for details about how to specify CSS styles + via javascript objects. .. describe:: Message: { ... } - This block contains HTML snippets to be used for the various - messages that the FontWarning extension can produce. There are - three messages that you can redefine to suit your needs: - - .. describe:: webFont: [ ... ] - - The message used for when MathJax uses web-based fonts (rather - than local fonts installed on the user's system). - - .. describe:: imageFonts: [ ... ] - - The message used for when MathJax must use image fonts rather - than local or web-based fonts (for those browsers that don't - handle the ``@font-face`` CSS directive). - - .. describe:: noFonts: [ ... ] - - The message used when MathJax is unable to find any font to use - (i.e., neither local nor web-based nor image-based fonts are - available). - - Any message that is set to ``null`` rather than an HTML snippet - array will not be presented to the user, so you can set, for - example, the ``webFont`` message to ``null`` in order to have the - ``imageFonts`` and ``noFonts`` messages, but no message if MathJax - uses web-based fonts. - - See the description of :ref:`HTML snippets <html-snippets>` for - details about how to describe the messages using HTML snippets. - Note that in addition to the usual rules for defining such - snippets, the FontWarnings snippets can include references to - pre-defined snippets (that represent elements common to all three - messages). These are defined below in the ``HTML`` block, and are - referenced using ``["name"]`` within the snippet, where `name` is - the name of one of the snippets defined in the ``HTML`` - configuration block. For example - - .. code-block:: javascript - - Message: { - noFonts: [ - ["closeBox"], - "MathJax is unable to locate a font to use to display ", - "its mathematics, and image fonts are not available, so it ", - "is falling back on generic unicode characters in hopes that ", - "your browser will be able to display them. Some characters ", - "may not show up properly, or possibly not at all.", - ["fonts"], - ["webfonts"] - ] - } - - refers to the ``closeBox``, ``fonts`` and ``webfonts`` snippets in + This block contains HTML snippets to be used for the various + messages that the FontWarning extension can produce. There are + three messages that you can redefine to suit your needs: + + .. describe:: webFont: [ ... ] + + The message used for when MathJax uses web-based fonts (rather + than local fonts installed on the user's system). + + .. describe:: imageFonts: [ ... ] + + The message used for when MathJax must use image fonts rather + than local or web-based fonts (for those browsers that don't + handle the ``@font-face`` CSS directive). + + .. describe:: noFonts: [ ... ] + + The message used when MathJax is unable to find any font to use + (i.e., neither local nor web-based nor image-based fonts are + available). + + Any message that is set to ``null`` rather than an HTML snippet + array will not be presented to the user, so you can set, for + example, the ``webFont`` message to ``null`` in order to have the + ``imageFonts`` and ``noFonts`` messages, but no message if MathJax + uses web-based fonts. + + See the description of :ref:`HTML snippets <html-snippets>` for + details about how to describe the messages using HTML snippets. + Note that in addition to the usual rules for defining such + snippets, the FontWarnings snippets can include references to + pre-defined snippets (that represent elements common to all three + messages). These are defined below in the ``HTML`` block, and are + referenced using ``["name"]`` within the snippet, where `name` is + the name of one of the snippets defined in the ``HTML`` + configuration block. For example + + .. code-block:: javascript + + Message: { + noFonts: [ + ["closeBox"], + "MathJax is unable to locate a font to use to display ", + "its mathematics, and image fonts are not available, so it ", + "is falling back on generic unicode characters in hopes that ", + "your browser will be able to display them. Some characters ", + "may not show up properly, or possibly not at all.", + ["fonts"], + ["webfonts"] + ] + } + + refers to the ``closeBox``, ``fonts`` and ``webfonts`` snippets declared in the ``HTML`` section. .. describe:: HTML: { ... } This object defines HTML snippets that are common to more than one - message in the ``Message`` section above. They can be called in - by using ``["name"]`` in an HTML snippet, where `name` refers to - the name of the snippet in the ``HTML`` block. The pre-defined - snippets are: + message in the ``Message`` section above. They can be included in + other HTML snippets by by using ``["name"]`` in an HTML snippet, + where `name` refers to the name of the snippet in the ``HTML`` + block. The pre-defined snippets are: .. describe:: closeBox diff --git a/docs/source/output.rst b/docs/source/output.rst @@ -32,8 +32,8 @@ in your document. The HTML-CSS output processor produces high-quality output in all major browsers, with results that are consistent across browsers and -operating systems. This is MathJax's primary output mode. It's major -advantage is its quality and consistency; it's drawback is that it is +operating systems. This is MathJax's primary output mode. Its major +advantage is its quality and consistency; its drawback is that it is slower than the NativeMML mode at rendering the mathematics. (The HTML-CSS processor has not yet been optimized for speed, so you can expect some improvement in the future. Note that IE8 in "IE8 @@ -77,7 +77,7 @@ are the configuration files that end in ``_HTMLorMML``. If you are doing your own configuration, there is a special configuration file that you can include that will choose between NativeMML and HTML-CSS depending on the browser in use. To invoke it, add ``"MMLorHTML.js"`` to -your configurations `config` array, and **do not** include an output +your configuration's `config` array, and **do not** include an output processor in your `jax` array; MathJax will fill that in for you based on the abilities of your user's browser. @@ -88,7 +88,7 @@ the abilities of your user's browser. You can customize which choice to make on a browser-by-browser basis or a global basis. See the ``config/default.js`` file or the -:ref:`Configuring MMLorHTML <configure-MMLorHTML>` section for futher +:ref:`Configuring MMLorHTML <configure-MMLorHTML>` section for further details. As an example, this configuration tells MathJax to use HTML-CSS output rather than native MathML support for Firefox: @@ -106,7 +106,7 @@ output rather than native MathML support for Firefox: With this configuration, MathML output will be used only for IE with the MathPlayer plugin (Firefox is the only other browser to have native MathML support that is sufficient for use with MathJax). Note, however, that a -user can employ the MathJax contectual menu to select the other renderer if +user can employ the MathJax contextual menu to select the other renderer if he or she wishes. MathJax produces MathML that models the underlying mathematics as best @@ -144,11 +144,11 @@ mode. You can accomplish this by including the line at the top of the ``<head>`` section of your HTML documents. This lets you keep the strict `DOCTYPE` for validation purposes, while -still managing to get reasonable perforance from Internet Explorer +still managing to get reasonable performance from Internet Explorer 8. Note that this line must come at the beginning of the ``<head>``, before any stylesheets or other content are loaded. -Altertnatively, you can use the `MMLorHTML` configuration file +Alternatively, you can use the `MMLorHTML` configuration file described above to select NativeMML output when possible, and request that your users install the `MathPlayer plugin <http://www.dessci.com/en/products/mathplayer/>`_, which will render diff --git a/docs/source/platforms/index.rst b/docs/source/platforms/index.rst @@ -21,7 +21,7 @@ Using MathJax in a Theme File Most web-based content-management systems include a theme or template layer that determines how the pages look, and that loads information common to all pages. Such theme files provide one popular way to -include MathJax in your web templates in the absense of +include MathJax in your web templates in the absence of MathJax-specific plugins for the system you are using. To take advantage of this approach, you will need access to your theme files, which probably means you need to be an administrator for the site; if @@ -64,8 +64,8 @@ theme/template only. If you change themes or update your theme, you will have to repeat these steps. -Insructions for Specific Platforms -================================== +Instructions for Specific Platforms +=================================== Some programs, such as WordPress and Moveable Type, allow you to edit template files from inside their administrator interfaces. Specific diff --git a/docs/source/platforms/movable-type.rst b/docs/source/platforms/movable-type.rst @@ -26,13 +26,13 @@ Using MathJax in Movable Type src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"> </script> - to load MathJax from our distributed netowrk service. + to load MathJax from our distributed network service. .. image:: ../images/mt_head.png 5. Save the file. This will enable MathJax with both TeX and MathML input, so you should be able to start adding mathematical content to - your pages. If you need to adjust the configuraiton, see + your pages. If you need to adjust the configuration, see :ref:`Configuring MathJax <loading>` for more details. diff --git a/docs/source/platforms/wordpress.rst b/docs/source/platforms/wordpress.rst @@ -38,5 +38,5 @@ better choice than editing the theme directly. 4. Save the file. This will enable MathJax with both TeX and MathML input, so you should be able to start adding mathematical content to - your pages. If you need to adjust the configuraiton, see + your pages. If you need to adjust the configuration, see :ref:`Configuring MathJax <loading>` for more details. diff --git a/docs/source/tex.rst b/docs/source/tex.rst @@ -39,7 +39,7 @@ you need a LaTeX-to-HTML converter, you should consider `other options TeX and LaTeX math delimiters ============================= -By default, the `tex2jax` preprocesor defines the LaTeX math delimiters, +By default, the `tex2jax` preprocessor defines the LaTeX math delimiters, which are ``\(...\)`` for in-line math, and ``\[...\]`` for displayed equations. It also defines the TeX delimiters ``$$...$$`` for displayed equations, but it does **not** define ``$...$`` as in-line math @@ -72,7 +72,7 @@ See the ``config/default.js`` file, or the :ref:`tex2jax configuration options <configure-tex2jax>` page, for additional configuration parameters that you can specify for the `tex2jax` preprocessor, which is the component of MathJax that identifies TeX notation within -the page). +the page. TeX and LaTeX in HTML documents @@ -86,7 +86,7 @@ Also, since the mathematics is initially given as text on the page, you need to be careful that your mathematics doesn't look like HTML tags to the browser (which parses the page before MathJax gets to see it). In particular, that means that you have to be careful about -things like less-than and greater-than signs (``<``and ``>``), and +things like less-than and greater-than signs (``<`` and ``>``), and ampersands (``&``), which have special meaning to the browsers. For example, @@ -99,10 +99,10 @@ beginning of a tag named ``y`` (even though there is no such tag in HTML). When this happens, the browser will think the tag continues up to the next ``>`` in the document (typically the end of the next actual tag in the HTML file), and you may notice that you are missing -part of the text of the document. In the example above, the `` we -have ...`` will not be displayed because the browser thinks it is +part of the text of the document. In the example above, the "``we +have ...``" will not be displayed because the browser thinks it is part of the tag starting at ``<y``. This is one indication you can -use to spot this prooblem; it is a common error and should be avoided. +use to spot this problem; it is a common error and should be avoided. Usually, it is sufficient to simply put spaces around these symbols to cause the browser to avoid them, so @@ -261,7 +261,7 @@ the paragraph, use } } -You may also wish to set the font family, as the default is "serif" +You may also wish to set the font family, as the default is "serif". noUndefined @@ -269,13 +269,13 @@ noUndefined The `noUndefined` extension causes undefined control sequences to be shown as their macro names rather than generating error messages. So -``$X_{\xxx}$`` would display as an "X" with a subscript consiting of the +``$X_{\xxx}$`` would display as an "X" with a subscript consisting of the text ``\xxx`` in red. This extension is loaded by all the combined configuration files that include the TeX input processor. To enable the `noUndefined` extension in your own configuration, or to modify its parameters, add something like -the following ro your :meth:`MathJax.Hub.Config()` call: +the following to your :meth:`MathJax.Hub.Config()` call: .. code-block:: javascript @@ -899,7 +899,6 @@ N \nolimits \normalsize \not - \notag AMSmath \notag [AMSmath] \notin \nparallel AMSsymbols @@ -1119,7 +1118,6 @@ T .. code-block:: latex - \tag AMSmath \tag [AMSmath] \tan \tanh @@ -1273,7 +1271,7 @@ Environments ------------ LaTeX environments of the form ``\begin{XXX} ... \end{XXX}`` are -preovided where ``XXX`` is one of the following: +provided where ``XXX`` is one of the following: .. code-block:: latex diff --git a/docs/source/upgrade.rst b/docs/source/upgrade.rst @@ -59,7 +59,7 @@ details. If your page simply loads ``MathJax.js`` and relies on ``config/MathJax.js``, then you will need to modify your ``<script>`` tag in order to use MathJax v1.1. This is because MathJax no longer loads a -default configuration file; you are required to explicity specify the +default configuration file; you are required to explicitly specify the configuration file if you use one. Furthermore, the name of the ``config/MathJax.js`` file was a source of confusion, so it has been renamed ``config/default.js`` instead. Thus, if you used @@ -163,7 +163,7 @@ Of course, you can load any configuration file that you wish, or use a The use of ``cdn.mathjax.org`` is governed by its `terms of service <http://www.mathjax.org/download/mathjax-cdn-terms-of-service/>`_, so be -sure to read that before linked to the MathJax CDN server. +sure to read that before linking to the MathJax CDN server. Change in default TeX delimiters @@ -255,5 +255,5 @@ development continues. We apologize for the inconvenience of having to switch distributions, but the git-to-svn bridge we tried to implement to keep both copies in synch -turned out to be unreliable, and so the SourceForge disrtibution was -retired in favor of the GitHub site. -\ No newline at end of file +turned out to be unreliable, and so the SourceForge distribution was +retired in favor of the GitHub site.