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MathOperators.js (13902B)


      1 /*************************************************************
      2  *
      3  *  MathJax/fonts/HTML-CSS/TeX/png/Main/Bold/MathOperators.js
      4  *  
      5  *  Defines the image size data needed for the HTML-CSS OutputJax
      6  *  to display mathematics using fallback images when the fonts
      7  *  are not availble to the client browser.
      8  *
      9  *  ---------------------------------------------------------------------
     10  *
     11  *  Copyright (c) 2009-2013 The MathJax Consortium
     12  *
     13  *  Licensed under the Apache License, Version 2.0 (the "License");
     14  *  you may not use this file except in compliance with the License.
     15  *  You may obtain a copy of the
     16  *
     17  *     http://www.apache.org/licenses/LICENSE-2.0
     18  *
     19  *  Unless required by applicable law or agreed to in writing, software
     20  *  distributed under the License is distributed on an "AS IS" BASIS,
     21  *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     22  *  See the License for the specific language governing permissions and
     23  *  limitations under the License.
     24  *
     25  */
     26 
     27 MathJax.OutputJax["HTML-CSS"].defineImageData({
     28   "MathJax_Main-bold": {
     29     0x2200: [  // FOR ALL
     30       [6,5,0],[7,7,1],[8,8,1],[9,10,1],[10,10,0],[12,13,1],[14,15,1],[16,18,1],
     31       [19,21,1],[23,25,1],[26,28,1],[31,34,1],[37,40,1],[44,48,2]
     32     ],
     33     0x2202: [  // PARTIAL DIFFERENTIAL
     34       [5,5,0],[6,6,0],[7,7,0],[8,9,0],[10,11,1],[11,13,1],[13,15,1],[16,18,1],
     35       [19,21,1],[22,25,1],[26,29,1],[31,34,1],[37,41,1],[44,49,2]
     36     ],
     37     0x2203: [  // THERE EXISTS
     38       [4,5,0],[5,6,0],[6,7,0],[7,8,0],[8,10,0],[10,12,0],[12,14,0],[14,17,0],
     39       [16,20,0],[19,23,0],[23,28,0],[27,33,0],[32,39,0],[38,46,0]
     40     ],
     41     0x2205: [  // EMPTY SET
     42       [4,7,1],[5,8,1],[6,9,1],[7,11,1],[8,12,1],[9,15,2],[11,17,2],[13,20,2],
     43       [15,25,3],[18,29,3],[21,35,4],[25,40,4],[30,48,5],[35,56,5]
     44     ],
     45     0x2207: [  // NABLA
     46       [7,5,0],[8,6,0],[9,8,1],[11,10,1],[13,11,1],[15,13,1],[18,15,1],[21,17,1],
     47       [25,20,1],[30,24,1],[36,28,1],[42,34,2],[50,40,2],[60,48,2]
     48     ],
     49     0x2208: [  // ELEMENT OF
     50       [5,5,1],[6,6,1],[7,7,1],[8,8,1],[10,9,1],[12,12,2],[14,14,2],[16,16,2],
     51       [19,20,3],[23,23,3],[27,27,4],[31,32,4],[38,38,5],[44,45,6]
     52     ],
     53     0x2209: [  // stix-negated (vert) set membership, variant
     54       [5,7,2],[6,8,2],[7,10,3],[8,12,3],[10,13,3],[12,16,4],[13,19,5],[16,22,5],
     55       [19,26,6],[22,31,7],[27,37,9],[31,43,10],[37,51,12],[44,62,15]
     56     ],
     57     0x220B: [  // CONTAINS AS MEMBER
     58       [5,5,1],[6,6,1],[7,7,1],[8,8,1],[10,9,1],[12,12,2],[14,14,2],[16,16,2],
     59       [19,20,3],[23,23,3],[27,27,4],[32,32,4],[37,38,5],[45,45,6]
     60     ],
     61     0x2212: [  // MINUS SIGN
     62       [6,1,-1],[7,1,-2],[8,1,-2],[10,2,-2],[12,1,-3],[14,2,-3],[16,2,-4],[19,2,-5],
     63       [23,2,-6],[27,3,-7],[32,3,-8],[38,4,-10],[45,4,-12],[53,5,-14]
     64     ],
     65     0x2213: [  // MINUS-OR-PLUS SIGN
     66       [6,6,2],[7,7,2],[9,9,3],[10,10,3],[12,11,3],[14,13,4],[17,16,5],[20,19,6],
     67       [23,22,7],[28,26,8],[33,31,9],[39,36,11],[46,43,13],[55,52,16]
     68     ],
     69     0x2215: [  // DIVISION SLASH
     70       [4,8,2],[5,10,3],[5,11,3],[6,12,3],[8,15,4],[9,18,5],[10,20,5],[12,24,6],
     71       [15,28,7],[17,34,9],[20,40,10],[24,47,12],[29,56,14],[34,67,17]
     72     ],
     73     0x2216: [  // SET MINUS
     74       [4,8,2],[5,10,3],[5,11,3],[6,12,3],[8,15,4],[9,18,5],[10,20,5],[12,24,6],
     75       [15,28,7],[17,34,9],[20,40,10],[24,47,12],[29,56,14],[34,67,17]
     76     ],
     77     0x2217: [  // ASTERISK OPERATOR
     78       [4,4,0],[5,4,0],[5,5,0],[6,6,0],[7,7,0],[9,8,0],[10,10,0],[12,11,0],
     79       [14,14,0],[17,16,0],[20,18,-1],[24,21,-1],[28,26,-1],[33,31,-1]
     80     ],
     81     0x2218: [  // RING OPERATOR
     82       [4,4,0],[4,4,0],[5,5,0],[6,6,0],[8,7,0],[9,8,0],[10,10,0],[12,11,0],
     83       [15,14,0],[17,16,0],[20,18,-1],[24,22,-1],[29,26,-1],[34,31,-1]
     84     ],
     85     0x2219: [  // BULLET OPERATOR
     86       [4,4,0],[5,4,0],[5,5,0],[6,6,0],[8,7,0],[9,8,0],[10,10,0],[12,11,0],
     87       [15,14,0],[17,16,0],[20,18,-1],[24,22,-1],[29,26,-1],[34,31,-1]
     88     ],
     89     0x221A: [  // SQUARE ROOT
     90       [7,8,2],[9,9,2],[10,11,2],[12,13,3],[14,15,3],[17,17,3],[20,20,4],[24,25,5],
     91       [28,28,5],[33,33,6],[39,41,8],[47,48,9],[55,56,10],[66,66,12]
     92     ],
     93     0x221D: [  // PROPORTIONAL TO
     94       [6,3,0],[7,4,0],[9,5,0],[10,7,1],[12,8,1],[14,9,1],[17,10,1],[20,12,1],
     95       [24,14,1],[28,16,1],[33,19,1],[39,22,1],[47,26,1],[55,31,1]
     96     ],
     97     0x221E: [  // INFINITY
     98       [8,3,0],[9,4,0],[11,6,1],[13,7,1],[15,8,1],[18,9,1],[22,10,1],[26,12,1],
     99       [30,14,1],[36,16,1],[43,19,1],[51,22,1],[61,26,1],[72,31,1]
    100     ],
    101     0x2220: [  // ANGLE
    102       [5,5,0],[6,6,0],[7,7,0],[8,9,0],[10,10,0],[12,12,0],[14,14,0],[16,17,0],
    103       [19,20,0],[23,24,0],[27,28,0],[32,33,0],[38,40,0],[45,47,0]
    104     ],
    105     0x2223: [  // DIVIDES
    106       [2,8,2],[2,10,3],[2,11,3],[3,12,3],[3,15,4],[4,18,5],[4,20,5],[5,24,6],
    107       [6,28,7],[7,34,9],[8,40,10],[9,47,12],[11,56,14],[13,67,17]
    108     ],
    109     0x2225: [  // PARALLEL TO
    110       [3,8,2],[4,10,3],[5,11,3],[6,12,3],[6,15,4],[7,18,5],[9,20,5],[11,24,6],
    111       [12,28,7],[15,34,9],[17,40,10],[21,47,12],[24,56,14],[29,67,17]
    112     ],
    113     0x2227: [  // LOGICAL AND
    114       [5,6,1],[6,7,1],[7,7,1],[9,9,1],[10,10,1],[12,12,1],[14,13,1],[17,16,1],
    115       [20,18,1],[24,21,1],[28,25,1],[33,30,1],[39,35,1],[47,42,2]
    116     ],
    117     0x2228: [  // LOGICAL OR
    118       [5,6,1],[6,7,1],[7,7,1],[9,9,1],[10,10,1],[12,12,1],[14,13,1],[17,16,1],
    119       [20,18,1],[24,21,1],[28,25,1],[33,30,1],[39,35,1],[47,42,2]
    120     ],
    121     0x2229: [  // stix-intersection, serifs
    122       [5,5,1],[6,6,1],[7,7,1],[9,8,1],[10,10,1],[12,11,1],[14,13,1],[17,15,1],
    123       [20,18,1],[24,21,1],[28,25,1],[33,30,1],[39,35,1],[47,41,1]
    124     ],
    125     0x222A: [  // stix-union, serifs
    126       [5,5,0],[6,6,0],[7,7,0],[9,8,0],[10,9,0],[12,12,1],[14,13,1],[17,16,1],
    127       [20,18,1],[24,21,1],[28,25,1],[33,30,1],[39,35,1],[47,42,2]
    128     ],
    129     0x222B: [  // INTEGRAL
    130       [5,7,2],[6,8,2],[7,10,3],[8,12,3],[9,13,3],[11,16,4],[13,19,5],[15,22,5],
    131       [18,26,6],[21,31,7],[25,37,9],[30,43,10],[35,52,12],[42,61,14]
    132     ],
    133     0x223C: [  // TILDE OPERATOR
    134       [6,3,0],[7,3,-1],[8,3,-1],[10,4,-1],[12,5,-1],[14,6,-1],[17,6,-2],[20,8,-2],
    135       [23,8,-3],[28,10,-3],[33,12,-4],[39,14,-5],[46,16,-6],[55,19,-7]
    136     ],
    137     0x2240: [  // WREATH PRODUCT
    138       [2,5,1],[2,6,1],[3,7,1],[3,8,1],[4,9,1],[5,12,2],[5,14,2],[6,16,2],
    139       [8,20,3],[9,23,3],[10,27,4],[12,32,4],[15,38,5],[17,45,6]
    140     ],
    141     0x2243: [  // ASYMPTOTICALLY EQUAL TO
    142       [6,4,0],[7,4,0],[9,5,0],[10,6,0],[12,7,0],[14,10,1],[17,11,1],[20,13,1],
    143       [23,15,1],[28,18,1],[33,21,1],[39,25,1],[46,29,1],[55,35,1]
    144     ],
    145     0x2245: [  // APPROXIMATELY EQUAL TO
    146       [6,5,0],[7,6,0],[9,8,1],[10,9,1],[12,10,1],[14,12,1],[17,14,1],[20,16,1],
    147       [23,19,1],[28,22,1],[33,27,2],[39,32,2],[46,38,2],[55,44,2]
    148     ],
    149     0x2248: [  // ALMOST EQUAL TO
    150       [6,4,0],[7,5,0],[8,5,0],[10,7,0],[12,8,0],[14,9,0],[17,11,0],[20,13,0],
    151       [23,15,0],[28,17,-1],[33,20,-1],[39,24,-1],[46,28,-1],[55,33,-2]
    152     ],
    153     0x224D: [  // EQUIVALENT TO
    154       [6,5,1],[7,6,1],[9,7,1],[10,8,1],[12,9,1],[14,10,1],[17,12,1],[20,14,1],
    155       [23,16,1],[28,20,2],[33,23,2],[39,27,2],[46,32,2],[55,39,3]
    156     ],
    157     0x2250: [  // APPROACHES THE LIMIT
    158       [6,5,0],[7,5,-1],[9,7,-1],[10,8,-1],[12,9,-1],[14,11,-1],[17,13,-2],[20,15,-2],
    159       [23,17,-3],[28,21,-3],[33,25,-4],[39,29,-5],[46,34,-6],[55,41,-7]
    160     ],
    161     0x2260: [  // stix-not (vert) equals
    162       [6,7,2],[7,9,2],[9,10,3],[10,12,3],[12,14,4],[14,16,4],[17,20,5],[20,22,5],
    163       [23,26,6],[28,31,7],[33,37,9],[39,43,10],[46,51,12],[55,61,14]
    164     ],
    165     0x2261: [  // IDENTICAL TO
    166       [6,4,0],[7,4,0],[9,5,0],[10,6,0],[12,7,0],[14,10,1],[17,11,1],[20,13,1],
    167       [23,15,1],[28,18,1],[33,21,1],[39,25,1],[46,29,1],[55,35,1]
    168     ],
    169     0x2264: [  // LESS-THAN OR EQUAL TO
    170       [6,7,2],[7,8,2],[8,9,2],[10,12,3],[12,13,3],[14,16,4],[16,18,4],[19,22,5],
    171       [23,26,6],[27,30,7],[32,36,8],[38,43,10],[45,50,11],[53,60,14]
    172     ],
    173     0x2265: [  // GREATER-THAN OR EQUAL TO
    174       [6,7,2],[7,8,2],[8,9,2],[10,12,3],[12,13,3],[14,16,4],[16,18,4],[19,22,5],
    175       [23,26,6],[27,30,7],[32,36,8],[38,43,10],[45,50,11],[53,60,14]
    176     ],
    177     0x226A: [  // MUCH LESS-THAN
    178       [8,6,1],[9,7,1],[11,9,2],[13,10,2],[15,11,2],[18,13,2],[22,16,3],[26,18,3],
    179       [30,22,4],[36,25,4],[43,30,5],[51,35,6],[60,42,7],[72,49,8]
    180     ],
    181     0x226B: [  // MUCH GREATER-THAN
    182       [8,6,1],[10,7,1],[11,9,2],[13,10,2],[16,11,2],[19,13,2],[22,16,3],[26,18,3],
    183       [31,22,4],[36,25,4],[43,30,5],[51,35,6],[61,42,7],[72,49,8]
    184     ],
    185     0x227A: [  // PRECEDES
    186       [6,6,1],[7,6,1],[8,7,1],[10,8,1],[12,11,2],[14,12,2],[16,14,2],[19,16,2],
    187       [23,20,3],[27,23,3],[32,27,4],[38,32,4],[45,38,5],[53,45,6]
    188     ],
    189     0x227B: [  // SUCCEEDS
    190       [6,6,1],[7,6,1],[8,7,1],[10,9,2],[11,11,2],[14,12,2],[16,14,2],[19,16,2],
    191       [22,20,3],[27,23,3],[32,27,4],[37,32,4],[44,38,5],[53,45,6]
    192     ],
    193     0x2282: [  // SUBSET OF
    194       [6,5,1],[7,6,1],[8,7,1],[10,8,1],[12,9,1],[14,12,2],[16,14,2],[19,16,2],
    195       [23,20,3],[27,23,3],[32,27,4],[37,32,4],[45,38,5],[53,45,6]
    196     ],
    197     0x2283: [  // SUPERSET OF
    198       [6,6,1],[7,6,1],[8,7,1],[10,8,1],[12,10,1],[14,12,2],[16,14,2],[19,16,2],
    199       [23,20,3],[27,23,3],[32,27,4],[38,32,4],[45,38,5],[53,45,6]
    200     ],
    201     0x2286: [  // SUBSET OF OR EQUAL TO
    202       [6,7,2],[7,8,2],[8,9,2],[10,12,3],[12,13,3],[14,16,4],[16,18,4],[19,22,5],
    203       [23,26,6],[27,30,7],[32,36,8],[37,43,10],[45,50,11],[53,60,14]
    204     ],
    205     0x2287: [  // SUPERSET OF OR EQUAL TO
    206       [6,7,2],[7,8,2],[8,9,2],[10,12,3],[11,13,3],[14,16,4],[16,18,4],[19,22,5],
    207       [23,26,6],[27,30,7],[32,36,8],[38,43,10],[44,50,11],[53,60,14]
    208     ],
    209     0x228E: [  // MULTISET UNION
    210       [5,5,0],[6,6,0],[7,6,0],[9,8,0],[10,9,0],[12,12,1],[14,13,1],[17,16,1],
    211       [20,18,1],[24,21,1],[28,25,1],[33,29,1],[39,35,1],[47,42,2]
    212     ],
    213     0x2291: [  // SQUARE IMAGE OF OR EQUAL TO
    214       [6,7,2],[7,8,2],[9,9,2],[10,12,3],[12,13,3],[14,16,4],[17,18,4],[20,22,5],
    215       [23,26,6],[28,30,7],[33,36,8],[39,43,10],[46,50,11],[55,60,14]
    216     ],
    217     0x2292: [  // SQUARE ORIGINAL OF OR EQUAL TO
    218       [6,7,2],[7,8,2],[8,9,2],[10,12,3],[12,13,3],[14,16,4],[16,18,4],[19,22,5],
    219       [23,26,6],[27,30,7],[32,36,8],[38,43,10],[45,50,11],[53,60,14]
    220     ],
    221     0x2293: [  // stix-square intersection, serifs
    222       [5,5,1],[6,5,0],[7,6,0],[9,8,1],[10,10,1],[12,11,0],[14,12,0],[17,15,0],
    223       [20,17,0],[23,20,0],[28,25,1],[33,29,0],[39,34,0],[47,40,0]
    224     ],
    225     0x2294: [  // stix-square union, serifs
    226       [5,5,0],[6,6,0],[7,6,0],[9,8,0],[10,9,0],[12,11,0],[14,12,0],[17,15,0],
    227       [20,17,0],[23,20,0],[28,24,0],[33,29,0],[39,34,0],[47,40,0]
    228     ],
    229     0x2295: [  // stix-circled plus (with rim)
    230       [7,6,1],[7,7,1],[8,8,2],[10,10,2],[12,11,2],[14,14,3],[17,16,3],[20,19,4],
    231       [23,22,4],[28,26,5],[33,31,6],[39,37,7],[46,43,8],[55,51,9]
    232     ],
    233     0x2296: [  // CIRCLED MINUS
    234       [6,6,1],[7,7,1],[9,8,2],[10,10,2],[12,11,2],[14,14,3],[17,16,3],[20,19,4],
    235       [23,22,4],[28,26,5],[33,31,6],[39,37,7],[46,43,8],[55,51,9]
    236     ],
    237     0x2297: [  // stix-circled times (with rim)
    238       [6,6,1],[7,7,1],[8,8,2],[10,10,2],[12,11,2],[14,14,3],[17,16,3],[20,19,4],
    239       [23,22,4],[28,26,5],[33,31,6],[39,37,7],[46,43,8],[55,51,9]
    240     ],
    241     0x2298: [  // CIRCLED DIVISION SLASH
    242       [6,6,1],[7,7,1],[8,8,2],[10,10,2],[12,11,2],[14,14,3],[17,16,3],[20,19,4],
    243       [23,22,4],[28,26,5],[33,31,6],[39,37,7],[46,43,8],[55,51,9]
    244     ],
    245     0x2299: [  // CIRCLED DOT OPERATOR
    246       [6,6,1],[7,7,1],[8,8,2],[10,10,2],[12,11,2],[14,14,3],[17,16,3],[20,19,4],
    247       [23,22,4],[28,26,5],[33,31,6],[39,37,7],[46,43,8],[55,51,9]
    248     ],
    249     0x22A2: [  // RIGHT TACK
    250       [5,5,0],[6,6,0],[7,7,0],[8,9,0],[9,10,0],[11,12,0],[13,14,0],[15,17,0],
    251       [18,20,0],[21,23,0],[25,28,0],[30,33,0],[36,39,0],[42,46,0]
    252     ],
    253     0x22A3: [  // LEFT TACK
    254       [5,5,0],[6,6,0],[7,7,0],[8,9,0],[9,10,0],[11,12,0],[13,14,0],[15,17,0],
    255       [18,20,0],[21,23,0],[25,28,0],[30,33,0],[36,39,0],[42,46,0]
    256     ],
    257     0x22A4: [  // DOWN TACK
    258       [6,5,0],[7,6,0],[9,7,0],[10,10,1],[12,10,0],[14,13,1],[17,15,1],[20,17,0],
    259       [23,21,1],[28,23,0],[33,28,0],[39,34,1],[46,39,0],[55,46,0]
    260     ],
    261     0x22A5: [  // UP TACK
    262       [6,5,0],[7,6,0],[9,7,0],[10,9,0],[12,10,0],[14,12,0],[17,14,0],[20,17,0],
    263       [23,20,0],[28,23,0],[33,28,0],[39,33,0],[46,39,0],[55,46,0]
    264     ],
    265     0x22A8: [  // TRUE
    266       [7,8,2],[8,10,3],[10,11,3],[11,12,3],[13,15,4],[16,18,5],[19,20,5],[22,24,6],
    267       [26,28,7],[31,34,9],[36,40,10],[43,47,12],[51,56,14],[61,67,17]
    268     ],
    269     0x22C4: [  // DIAMOND OPERATOR
    270       [4,5,1],[5,6,1],[6,7,1],[7,8,1],[8,9,1],[10,10,1],[11,12,1],[14,14,1],
    271       [16,16,1],[19,19,1],[22,22,1],[27,26,1],[32,31,2],[37,37,2]
    272     ],
    273     0x22C5: [  // DOT OPERATOR
    274       [2,2,-1],[3,2,-1],[3,3,-1],[3,3,-1],[4,3,-2],[5,4,-2],[5,4,-3],[6,5,-3],
    275       [7,6,-4],[9,7,-5],[10,8,-6],[12,9,-7],[14,10,-9],[17,13,-10]
    276     ],
    277     0x22C6: [  // STAR OPERATOR
    278       [4,4,0],[5,5,0],[6,5,0],[7,6,0],[8,7,0],[10,9,0],[11,10,0],[13,12,0],
    279       [16,14,0],[19,17,0],[22,20,0],[26,24,0],[31,28,0],[37,34,0]
    280     ],
    281     0x22C8: [  // BOWTIE
    282       [7,5,1],[8,6,1],[10,7,1],[12,8,1],[13,9,1],[17,10,1],[19,12,1],[23,14,1],
    283       [27,17,2],[32,20,2],[38,24,2],[45,28,2],[54,33,3],[64,39,3]
    284     ],
    285     0x22EE: [  // VERTICAL ELLIPSIS
    286       [2,8,1],[3,9,1],[3,11,1],[3,13,1],[4,15,1],[5,17,1],[5,20,1],[6,24,1],
    287       [7,28,1],[9,33,1],[10,40,2],[12,47,2],[14,55,2],[17,65,2]
    288     ],
    289     0x22EF: [  // MIDLINE HORIZONTAL ELLIPSIS
    290       [9,2,-1],[11,2,-1],[13,3,-1],[15,3,-1],[17,3,-2],[21,4,-2],[24,4,-3],[29,5,-3],
    291       [34,6,-4],[41,7,-5],[48,8,-6],[57,9,-7],[68,10,-9],[81,13,-10]
    292     ],
    293     0x22F1: [  // DOWN RIGHT DIAGONAL ELLIPSIS
    294       [9,7,0],[10,8,0],[12,9,0],[15,10,-1],[17,12,-1],[20,14,-1],[24,16,-1],[28,19,-2],
    295       [33,23,-2],[40,26,-3],[47,32,-3],[56,37,-4],[67,44,-5],[79,52,-6]
    296     ]
    297   }
    298 });
    299 
    300 MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].imgDir+"/Main/Bold"+
    301                           MathJax.OutputJax["HTML-CSS"].imgPacked+"/MathOperators.js");