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MathOperators.js (22900B)


      1 /*************************************************************
      2  *
      3  *  MathJax/fonts/HTML-CSS/TeX/png/AMS/Regular/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_AMS": {
     29     0x2201: [  // COMPLEMENT
     30       [3,6,0],[4,7,0],[5,9,0],[6,11,1],[7,13,1],[8,16,1],[9,18,1],[11,21,1],
     31       [13,25,1],[15,29,1],[18,35,1],[21,41,1],[25,49,2],[30,58,2]
     32     ],
     33     0x2204: [  // THERE DOES NOT EXIST
     34       [4,8,2],[4,10,2],[5,11,2],[6,12,2],[7,15,3],[9,18,3],[10,22,4],[12,24,4],
     35       [14,29,5],[17,35,6],[20,41,7],[24,48,8],[28,57,9],[33,68,11]
     36     ],
     37     0x2205: [  // EMPTY SET
     38       [5,4,0],[6,5,0],[8,6,0],[9,7,0],[11,8,0],[12,10,0],[14,12,0],[17,15,1],
     39       [20,18,1],[24,21,1],[29,24,1],[34,29,1],[40,34,1],[48,40,1]
     40     ],
     41     0x220D: [  // SMALL CONTAINS AS MEMBER
     42       [3,4,0],[4,5,1],[5,6,1],[6,7,1],[7,8,1],[8,9,1],[9,10,1],[11,12,1],
     43       [13,14,1],[16,16,1],[18,19,1],[22,22,1],[26,26,1],[31,30,1]
     44     ],
     45     0x2212: [  // MINUS SIGN
     46       [3,1,-1],[4,1,-2],[5,1,-2],[5,1,-2],[6,1,-3],[7,1,-4],[9,2,-4],[10,2,-5],
     47       [12,2,-6],[14,2,-7],[17,2,-9],[20,3,-10],[23,3,-12],[28,3,-15]
     48     ],
     49     0x2214: [  // DOT PLUS
     50       [5,7,1],[6,8,1],[8,9,1],[9,11,2],[10,13,2],[12,15,2],[14,17,2],[17,21,3],
     51       [20,25,3],[24,30,4],[28,34,4],[34,41,5],[40,49,6],[48,58,7]
     52     ],
     53     0x2216: [  // SET MINUS
     54       [5,4,1],[6,5,1],[7,6,1],[9,7,1],[10,7,1],[12,9,1],[14,10,1],[16,11,1],
     55       [19,13,1],[23,16,1],[27,18,1],[32,22,2],[38,26,2],[46,31,2]
     56     ],
     57     0x221D: [  // PROPORTIONAL TO
     58       [5,4,0],[7,4,0],[7,5,0],[9,6,0],[11,7,0],[13,8,0],[15,9,0],[17,11,0],
     59       [21,14,0],[24,16,0],[29,18,-1],[34,21,-1],[40,26,-1],[48,31,-1]
     60     ],
     61     0x2220: [  // ANGLE
     62       [5,5,0],[6,6,0],[7,7,0],[8,9,0],[10,10,0],[12,12,0],[13,14,0],[16,17,0],
     63       [19,20,0],[22,23,0],[27,28,0],[31,33,0],[37,39,0],[44,46,0]
     64     ],
     65     0x2221: [  // MEASURED ANGLE
     66       [5,6,1],[6,7,1],[7,8,1],[8,10,1],[10,11,1],[12,13,1],[14,15,1],[16,18,1],
     67       [19,21,1],[23,25,1],[27,29,1],[32,35,1],[38,42,2],[45,49,2]
     68     ],
     69     0x2222: [  // SPHERICAL ANGLE
     70       [5,5,1],[6,6,1],[7,7,1],[8,8,1],[10,9,1],[12,11,1],[13,12,1],[16,15,2],
     71       [19,18,2],[22,21,2],[27,24,2],[31,29,3],[37,34,3],[44,41,4]
     72     ],
     73     0x2223: [  // DIVIDES
     74       [1,4,1],[1,5,1],[2,6,1],[2,7,1],[2,7,1],[2,9,1],[3,10,1],[4,11,1],
     75       [4,13,1],[5,16,1],[6,18,1],[7,22,2],[8,26,2],[9,31,2]
     76     ],
     77     0x2224: [  // DOES NOT DIVIDE
     78       [3,8,2],[4,10,3],[4,11,3],[5,12,3],[5,15,4],[7,18,5],[7,20,5],[9,24,6],
     79       [10,28,7],[11,34,9],[14,40,10],[16,47,12],[19,56,14],[22,67,17]
     80     ],
     81     0x2225: [  // PARALLEL TO
     82       [3,4,1],[3,5,1],[4,6,1],[4,7,1],[5,7,1],[6,9,1],[7,10,1],[8,11,1],
     83       [10,13,1],[11,16,1],[13,18,1],[16,23,2],[19,26,2],[22,31,2]
     84     ],
     85     0x2226: [  // NOT PARALLEL TO
     86       [5,8,2],[6,10,3],[7,11,3],[8,12,3],[9,15,4],[10,18,5],[11,20,5],[14,24,6],
     87       [16,28,7],[18,34,9],[22,40,10],[26,47,12],[31,56,14],[36,67,17]
     88     ],
     89     0x2234: [  // THEREFORE
     90       [5,5,1],[6,5,1],[7,6,1],[8,7,1],[9,9,2],[11,10,2],[13,12,2],[15,13,2],
     91       [18,17,3],[22,19,3],[26,23,4],[30,26,4],[36,32,5],[43,37,6]
     92     ],
     93     0x2235: [  // BECAUSE
     94       [5,5,1],[6,5,1],[7,6,1],[8,7,1],[9,9,2],[11,10,2],[13,12,2],[15,13,2],
     95       [18,17,3],[22,19,3],[26,23,4],[30,26,4],[36,32,5],[43,37,6]
     96     ],
     97     0x223C: [  // TILDE OPERATOR
     98       [5,2,-1],[6,2,-1],[8,3,-1],[9,4,-1],[10,5,-1],[13,5,-2],[15,6,-2],[17,6,-3],
     99       [20,8,-3],[24,9,-4],[29,10,-5],[34,11,-6],[40,14,-7],[48,17,-8]
    100     ],
    101     0x223D: [  // REVERSED TILDE
    102       [5,2,-1],[6,3,-1],[8,3,-1],[9,4,-1],[10,4,-2],[12,5,-2],[15,6,-2],[17,6,-3],
    103       [20,8,-3],[24,9,-4],[29,10,-5],[34,12,-6],[40,14,-7],[48,17,-8]
    104     ],
    105     0x2241: [  // stix-not, vert, similar
    106       [5,4,0],[6,4,0],[8,5,0],[9,6,0],[10,7,0],[13,8,0],[15,10,0],[17,11,0],
    107       [20,13,0],[24,15,-1],[29,18,-1],[34,21,-1],[40,25,-1],[48,29,-2]
    108     ],
    109     0x2242: [  // MINUS TILDE
    110       [5,4,0],[6,4,0],[8,5,0],[9,6,0],[10,7,0],[12,8,0],[15,9,0],[17,11,0],
    111       [20,13,0],[24,15,-1],[29,18,-1],[34,21,-1],[40,25,-1],[48,29,-2]
    112     ],
    113     0x2246: [  // APPROXIMATELY BUT NOT ACTUALLY EQUAL TO
    114       [5,7,2],[6,8,2],[8,9,2],[9,10,2],[10,12,3],[13,14,3],[15,17,4],[17,20,4],
    115       [20,23,5],[24,28,6],[29,33,7],[34,39,8],[40,46,9],[48,54,11]
    116     ],
    117     0x2248: [  // ALMOST EQUAL TO
    118       [5,4,0],[6,4,0],[8,5,0],[9,6,0],[11,7,0],[13,8,0],[15,10,0],[17,11,-1],
    119       [21,13,-1],[24,15,-1],[29,18,-1],[34,21,-2],[40,25,-2],[48,29,-3]
    120     ],
    121     0x224A: [  // ALMOST EQUAL OR EQUAL TO
    122       [5,5,1],[7,6,1],[8,7,1],[9,8,1],[11,9,1],[13,11,1],[15,13,1],[17,15,1],
    123       [21,18,2],[24,22,2],[29,25,2],[34,29,2],[41,36,3],[48,42,3]
    124     ],
    125     0x224E: [  // GEOMETRICALLY EQUIVALENT TO
    126       [5,4,0],[6,4,0],[8,5,0],[9,6,0],[10,7,0],[12,8,0],[14,10,0],[17,12,0],
    127       [20,14,0],[24,17,0],[29,20,0],[34,23,0],[40,28,0],[48,33,0]
    128     ],
    129     0x224F: [  // DIFFERENCE BETWEEN
    130       [5,3,-1],[6,3,-1],[8,4,-1],[9,5,-1],[10,5,-2],[12,6,-2],[14,8,-2],[17,9,-3],
    131       [20,11,-3],[24,13,-4],[29,15,-5],[34,17,-6],[40,21,-7],[48,25,-8]
    132     ],
    133     0x2251: [  // GEOMETRICALLY EQUAL TO
    134       [5,6,1],[6,7,1],[8,8,2],[9,10,2],[10,11,2],[12,13,2],[15,15,3],[17,18,3],
    135       [20,20,3],[24,25,4],[29,29,5],[34,34,5],[40,40,6],[48,49,8]
    136     ],
    137     0x2252: [  // APPROXIMATELY EQUAL TO OR THE IMAGE OF
    138       [6,5,1],[7,6,1],[8,7,1],[9,10,2],[11,11,2],[13,12,2],[15,14,2],[18,17,3],
    139       [22,20,3],[25,24,4],[30,28,4],[36,33,5],[43,40,6],[51,47,7]
    140     ],
    141     0x2253: [  // IMAGE OF OR APPROXIMATELY EQUAL TO
    142       [6,5,1],[7,6,1],[8,7,1],[9,10,2],[11,11,2],[13,12,2],[15,14,2],[18,17,3],
    143       [22,20,3],[25,24,4],[30,28,4],[36,33,5],[43,40,6],[51,47,7]
    144     ],
    145     0x2256: [  // RING IN EQUAL TO
    146       [5,2,-1],[6,2,-1],[8,3,-1],[9,4,-1],[10,3,-2],[12,4,-2],[15,5,-2],[17,6,-3],
    147       [20,8,-3],[24,9,-4],[29,10,-5],[34,11,-6],[40,14,-7],[48,17,-8]
    148     ],
    149     0x2257: [  // RING EQUAL TO
    150       [5,4,-1],[6,5,-1],[8,6,-1],[9,8,-1],[10,8,-2],[12,10,-2],[15,12,-2],[17,14,-3],
    151       [20,17,-3],[24,20,-4],[29,24,-5],[34,28,-6],[40,33,-7],[48,40,-8]
    152     ],
    153     0x225C: [  // DELTA EQUAL TO
    154       [5,5,-1],[6,7,-1],[8,8,-1],[9,9,-1],[10,10,-2],[12,13,-2],[15,15,-2],[17,17,-3],
    155       [20,21,-3],[24,25,-4],[29,29,-5],[34,34,-6],[40,41,-7],[48,49,-8]
    156     ],
    157     0x2266: [  // LESS-THAN OVER EQUAL TO
    158       [5,8,2],[6,9,2],[8,10,2],[9,11,2],[10,14,3],[12,16,3],[15,19,4],[17,22,4],
    159       [20,26,5],[24,31,6],[28,37,7],[34,44,9],[40,52,10],[48,62,12]
    160     ],
    161     0x2267: [  // GREATER-THAN OVER EQUAL TO
    162       [5,8,2],[6,9,2],[7,10,2],[9,11,2],[10,14,3],[12,16,3],[14,19,4],[17,22,4],
    163       [20,26,5],[23,31,6],[28,37,7],[33,44,9],[39,52,10],[46,62,12]
    164     ],
    165     0x2268: [  // stix-less, vert, not double equals
    166       [5,8,2],[6,10,3],[7,11,3],[9,13,4],[10,15,4],[12,18,5],[14,21,6],[17,25,7],
    167       [20,29,8],[23,35,10],[28,42,12],[33,49,14],[39,58,16],[46,69,19]
    168     ],
    169     0x2269: [  // stix-gt, vert, not double equals
    170       [5,8,2],[6,10,3],[7,11,3],[9,13,4],[10,15,4],[12,18,5],[14,21,6],[17,25,7],
    171       [20,29,8],[23,35,10],[28,42,12],[33,49,14],[39,58,16],[46,69,19]
    172     ],
    173     0x226C: [  // BETWEEN
    174       [3,8,2],[4,10,3],[5,11,3],[5,12,3],[6,15,4],[8,18,5],[9,20,5],[10,24,6],
    175       [12,28,7],[14,34,9],[17,40,10],[20,47,12],[24,56,14],[28,67,17]
    176     ],
    177     0x226E: [  // stix-not, vert, less-than
    178       [5,8,2],[6,9,2],[7,10,3],[9,12,3],[10,14,4],[12,16,4],[14,19,5],[17,22,5],
    179       [20,26,6],[23,31,7],[28,37,9],[33,43,10],[39,52,12],[46,61,14]
    180     ],
    181     0x226F: [  // stix-not, vert, greater-than
    182       [5,8,2],[6,9,2],[7,10,3],[9,12,3],[10,14,4],[12,16,4],[14,19,5],[17,22,5],
    183       [20,26,6],[23,31,7],[28,37,9],[33,43,10],[39,52,12],[46,61,14]
    184     ],
    185     0x2270: [  // stix-not, vert, less-than-or-equal
    186       [5,9,3],[6,10,3],[7,11,3],[9,14,4],[10,17,5],[12,20,6],[14,22,6],[17,26,7],
    187       [20,32,9],[24,38,11],[28,44,12],[33,53,15],[39,62,17],[46,74,21]
    188     ],
    189     0x2271: [  // stix-not, vert, greater-than-or-equal
    190       [5,9,3],[6,10,3],[7,11,3],[9,14,4],[10,17,5],[12,20,6],[14,22,6],[17,26,7],
    191       [20,32,9],[23,38,11],[28,44,12],[33,53,15],[39,62,17],[46,74,21]
    192     ],
    193     0x2272: [  // stix-less-than or (contour) similar
    194       [5,8,2],[6,9,2],[7,11,3],[9,12,3],[10,14,3],[12,17,4],[14,20,5],[17,23,6],
    195       [20,28,7],[24,33,8],[29,38,9],[34,45,11],[40,54,13],[48,64,15]
    196     ],
    197     0x2273: [  // stix-greater-than or (contour) similar
    198       [5,8,2],[6,9,2],[7,10,2],[9,12,3],[10,14,3],[12,17,4],[14,20,5],[17,23,6],
    199       [20,28,7],[24,33,8],[29,38,9],[34,45,11],[40,54,13],[48,64,15]
    200     ],
    201     0x2276: [  // LESS-THAN OR GREATER-THAN
    202       [6,7,2],[7,9,3],[8,10,3],[9,11,3],[11,14,4],[13,17,5],[15,19,5],[18,22,6],
    203       [21,26,7],[25,32,9],[29,37,10],[35,44,12],[41,52,14],[49,62,17]
    204     ],
    205     0x2277: [  // GREATER-THAN OR LESS-THAN
    206       [5,7,2],[6,9,3],[7,10,3],[9,11,3],[10,14,4],[12,17,5],[14,19,5],[17,22,6],
    207       [20,26,7],[23,32,9],[28,37,10],[33,44,12],[39,52,14],[46,62,17]
    208     ],
    209     0x227C: [  // PRECEDES OR EQUAL TO
    210       [5,6,2],[6,7,2],[7,8,2],[9,9,2],[10,12,3],[12,13,3],[14,15,3],[16,18,4],
    211       [19,22,5],[23,25,5],[27,29,6],[32,34,7],[38,42,9],[46,49,10]
    212     ],
    213     0x227D: [  // SUCCEEDS OR EQUAL TO
    214       [5,6,2],[6,7,2],[7,8,2],[9,9,2],[10,11,3],[12,13,3],[14,16,4],[17,18,4],
    215       [20,21,5],[23,26,6],[28,30,7],[33,35,8],[39,42,9],[46,50,11]
    216     ],
    217     0x227E: [  // PRECEDES OR EQUIVALENT TO
    218       [5,8,2],[6,9,2],[7,11,3],[9,12,3],[10,14,3],[12,17,4],[14,20,5],[17,23,6],
    219       [20,28,7],[24,33,8],[29,38,9],[34,45,11],[40,54,13],[48,64,15]
    220     ],
    221     0x227F: [  // SUCCEEDS OR EQUIVALENT TO
    222       [5,8,2],[6,9,2],[7,11,3],[9,12,3],[10,14,3],[12,17,4],[14,20,5],[17,23,6],
    223       [20,28,7],[24,33,8],[29,38,9],[34,45,11],[40,54,13],[48,65,16]
    224     ],
    225     0x2280: [  // DOES NOT PRECEDE
    226       [5,8,2],[6,9,2],[7,10,3],[9,12,3],[10,13,3],[12,16,4],[14,19,5],[17,22,5],
    227       [20,26,6],[23,31,7],[28,37,9],[33,43,10],[39,52,12],[46,61,14]
    228     ],
    229     0x2281: [  // stix-not (vert) succeeds
    230       [5,7,2],[6,8,2],[7,10,3],[9,12,3],[10,14,4],[12,16,4],[14,19,5],[17,22,5],
    231       [20,26,6],[23,31,7],[28,37,9],[33,43,10],[39,51,12],[46,61,14]
    232     ],
    233     0x2288: [  // stix-/nsubseteq N: not (vert) subset, equals
    234       [5,9,3],[6,10,3],[7,12,3],[9,14,4],[10,17,5],[12,20,6],[14,22,6],[17,26,7],
    235       [20,32,9],[23,38,11],[28,44,12],[33,53,15],[39,62,17],[46,74,21]
    236     ],
    237     0x2289: [  // stix-/nsupseteq N: not (vert) superset, equals
    238       [5,9,3],[6,10,3],[7,11,3],[8,14,4],[10,17,5],[12,19,6],[14,22,6],[17,26,7],
    239       [20,32,9],[23,37,11],[28,44,12],[33,53,15],[39,62,17],[46,73,20]
    240     ],
    241     0x228A: [  // stix-subset, not equals, variant
    242       [5,7,2],[6,8,2],[7,10,3],[9,11,3],[10,13,4],[12,16,5],[14,18,5],[17,21,6],
    243       [20,25,7],[23,31,9],[28,36,10],[33,42,12],[39,50,14],[46,59,17]
    244     ],
    245     0x228B: [  // stix-superset, not equals, variant
    246       [5,7,2],[6,8,2],[7,10,3],[8,11,3],[10,13,4],[12,16,5],[14,18,5],[17,21,6],
    247       [20,25,7],[23,30,9],[28,35,10],[33,42,12],[39,50,14],[46,59,17]
    248     ],
    249     0x228F: [  // SQUARE IMAGE OF
    250       [5,5,1],[6,6,1],[7,7,1],[9,8,1],[10,9,1],[12,10,1],[14,12,1],[17,14,1],
    251       [19,17,2],[23,20,2],[28,24,2],[33,28,2],[39,33,3],[46,39,3]
    252     ],
    253     0x2290: [  // SQUARE ORIGINAL OF
    254       [5,5,1],[6,6,1],[7,7,1],[9,8,1],[10,9,1],[12,10,1],[14,12,1],[17,14,1],
    255       [20,17,2],[24,20,2],[28,24,2],[34,28,2],[40,33,3],[47,39,3]
    256     ],
    257     0x229A: [  // CIRCLED RING OPERATOR
    258       [5,6,1],[6,6,1],[7,7,1],[9,8,1],[10,10,1],[12,12,2],[14,14,2],[17,16,2],
    259       [20,20,3],[24,23,3],[29,27,4],[34,31,4],[40,38,5],[48,45,6]
    260     ],
    261     0x229B: [  // CIRCLED ASTERISK OPERATOR
    262       [5,6,1],[6,6,1],[7,7,1],[9,8,1],[10,10,1],[12,12,2],[14,14,2],[17,16,2],
    263       [20,20,3],[24,23,3],[29,27,4],[34,31,4],[40,38,5],[48,45,6]
    264     ],
    265     0x229D: [  // CIRCLED DASH
    266       [5,6,1],[6,6,1],[7,7,1],[9,8,1],[10,10,1],[12,12,2],[14,14,2],[17,16,2],
    267       [20,20,3],[24,23,3],[29,27,4],[34,31,4],[40,38,5],[48,45,6]
    268     ],
    269     0x229E: [  // SQUARED PLUS
    270       [5,5,0],[6,6,0],[8,7,0],[9,8,0],[11,10,0],[13,12,0],[15,14,0],[17,16,0],
    271       [20,20,0],[24,23,0],[29,27,0],[34,32,0],[41,39,0],[48,46,0]
    272     ],
    273     0x229F: [  // SQUARED MINUS
    274       [5,5,0],[6,6,0],[7,7,0],[9,8,0],[10,10,0],[12,12,0],[14,14,0],[17,16,0],
    275       [21,20,0],[24,23,0],[29,27,0],[34,32,0],[40,39,0],[48,46,0]
    276     ],
    277     0x22A0: [  // SQUARED TIMES
    278       [5,5,0],[6,6,0],[7,7,0],[9,8,0],[10,10,0],[12,12,0],[14,14,0],[17,16,0],
    279       [21,20,0],[24,23,0],[29,27,0],[34,32,0],[40,39,0],[48,46,0]
    280     ],
    281     0x22A1: [  // SQUARED DOT OPERATOR
    282       [5,5,0],[6,6,0],[7,7,0],[9,8,0],[10,10,0],[12,12,0],[14,14,0],[17,16,0],
    283       [21,20,0],[24,23,0],[29,27,0],[34,32,0],[40,39,0],[48,46,0]
    284     ],
    285     0x22A8: [  // TRUE
    286       [4,5,0],[5,6,0],[6,7,0],[7,9,0],[8,10,0],[10,12,0],[11,14,0],[13,17,0],
    287       [16,20,0],[19,23,0],[22,28,0],[26,33,0],[31,39,0],[37,46,0]
    288     ],
    289     0x22A9: [  // FORCES
    290       [5,5,0],[6,6,0],[7,7,0],[8,9,0],[10,10,0],[12,12,0],[14,14,0],[16,17,0],
    291       [19,20,0],[22,23,0],[26,28,0],[31,33,0],[37,39,0],[44,46,0]
    292     ],
    293     0x22AA: [  // TRIPLE VERTICAL BAR RIGHT TURNSTILE
    294       [6,5,0],[7,6,0],[9,7,0],[10,9,0],[12,10,0],[14,12,0],[17,14,0],[19,17,0],
    295       [24,20,0],[28,23,0],[33,28,0],[39,33,0],[46,39,0],[55,46,0]
    296     ],
    297     0x22AC: [  // DOES NOT PROVE
    298       [5,5,0],[6,7,1],[7,8,1],[8,10,1],[9,11,1],[11,13,1],[13,15,1],[15,18,1],
    299       [18,21,1],[21,24,1],[25,29,1],[30,34,1],[35,40,1],[41,47,1]
    300     ],
    301     0x22AD: [  // NOT TRUE
    302       [5,5,0],[6,7,1],[7,8,1],[8,10,1],[9,11,1],[11,13,1],[13,15,1],[15,18,1],
    303       [18,21,1],[21,24,1],[25,29,1],[29,34,1],[35,40,1],[41,47,1]
    304     ],
    305     0x22AE: [  // DOES NOT FORCE
    306       [6,5,0],[7,7,1],[8,8,1],[9,10,1],[11,11,1],[13,13,1],[15,15,1],[18,18,1],
    307       [21,21,1],[24,24,1],[29,29,1],[35,34,1],[41,40,1],[48,47,1]
    308     ],
    309     0x22AF: [  // NEGATED DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE
    310       [6,5,0],[7,7,1],[8,8,1],[9,10,1],[11,11,1],[13,13,1],[16,15,1],[18,18,1],
    311       [21,21,1],[24,24,1],[30,29,1],[35,34,1],[41,40,1],[49,47,1]
    312     ],
    313     0x22B2: [  // NORMAL SUBGROUP OF
    314       [5,5,1],[6,6,1],[7,7,1],[8,8,1],[10,9,1],[12,10,1],[14,12,1],[16,14,1],
    315       [20,17,2],[23,20,2],[28,24,2],[33,28,2],[39,33,3],[46,39,3]
    316     ],
    317     0x22B3: [  // CONTAINS AS NORMAL SUBGROUP
    318       [5,5,1],[6,6,1],[7,7,1],[9,8,1],[10,9,1],[12,10,1],[14,12,1],[17,14,1],
    319       [20,17,2],[23,20,2],[28,24,2],[33,28,2],[39,33,3],[46,39,3]
    320     ],
    321     0x22B4: [  // NORMAL SUBGROUP OF OR EQUAL TO
    322       [5,6,1],[6,7,1],[7,9,2],[9,10,2],[10,11,2],[12,14,3],[14,16,3],[17,18,3],
    323       [20,22,4],[23,26,5],[28,31,6],[33,37,7],[39,44,8],[46,52,10]
    324     ],
    325     0x22B5: [  // CONTAINS AS NORMAL SUBGROUP OR EQUAL TO
    326       [5,6,1],[6,7,1],[7,9,2],[9,10,2],[10,11,2],[12,14,3],[14,16,3],[17,18,3],
    327       [20,22,4],[23,26,5],[28,31,6],[33,37,7],[39,44,8],[46,52,10]
    328     ],
    329     0x22B8: [  // MULTIMAP
    330       [8,3,0],[9,4,0],[11,3,-1],[13,4,-1],[15,5,-1],[18,6,-1],[21,6,-2],[25,8,-2],
    331       [30,10,-2],[35,11,-3],[42,13,-3],[50,15,-4],[59,18,-5],[70,21,-6]
    332     ],
    333     0x22BA: [  // INTERCALATE
    334       [4,5,2],[5,6,2],[5,8,3],[6,8,3],[7,9,3],[9,12,4],[10,13,4],[12,15,5],
    335       [14,18,6],[17,23,8],[20,26,9],[24,31,10],[28,36,12],[33,43,14]
    336     ],
    337     0x22BB: [  // XOR
    338       [4,5,0],[5,6,0],[6,8,0],[7,9,0],[8,10,0],[10,12,0],[11,14,0],[13,17,0],
    339       [16,20,0],[19,24,0],[22,29,0],[26,34,0],[31,40,0],[37,48,0]
    340     ],
    341     0x22BC: [  // NAND
    342       [4,5,0],[5,6,0],[6,8,1],[7,9,0],[8,10,0],[10,12,0],[11,14,0],[13,17,0],
    343       [16,20,0],[19,25,1],[22,29,0],[26,35,1],[31,41,1],[37,49,1]
    344     ],
    345     0x22C5: [  // DOT OPERATOR
    346       [2,2,0],[2,2,0],[3,2,0],[3,3,0],[4,3,0],[4,4,0],[5,4,0],[6,5,0],
    347       [7,6,0],[8,7,0],[9,8,0],[11,9,0],[13,11,0],[15,13,0]
    348     ],
    349     0x22C7: [  // DIVISION TIMES
    350       [5,5,1],[6,6,1],[8,7,1],[9,8,1],[10,9,1],[12,11,1],[15,12,1],[17,15,2],
    351       [20,18,2],[24,20,2],[29,24,2],[34,29,3],[40,34,3],[48,39,3]
    352     ],
    353     0x22C9: [  // LEFT NORMAL FACTOR SEMIDIRECT PRODUCT
    354       [5,4,0],[6,5,0],[7,5,0],[8,6,0],[9,7,0],[11,9,0],[13,10,0],[15,12,0],
    355       [18,14,0],[21,17,0],[25,20,0],[30,23,0],[35,28,0],[42,33,0]
    356     ],
    357     0x22CA: [  // RIGHT NORMAL FACTOR SEMIDIRECT PRODUCT
    358       [5,4,0],[6,5,0],[6,5,0],[8,6,0],[9,7,0],[11,9,0],[13,10,0],[15,12,0],
    359       [18,14,0],[21,17,0],[25,20,0],[30,23,0],[35,28,0],[42,33,0]
    360     ],
    361     0x22CB: [  // LEFT SEMIDIRECT PRODUCT
    362       [5,6,1],[6,7,1],[8,8,1],[9,10,1],[10,11,1],[12,13,1],[15,15,1],[17,18,1],
    363       [20,21,1],[24,24,1],[29,29,1],[34,35,2],[40,41,2],[48,48,2]
    364     ],
    365     0x22CC: [  // RIGHT SEMIDIRECT PRODUCT
    366       [5,6,1],[6,7,1],[8,8,1],[9,10,1],[10,11,1],[12,13,1],[14,15,1],[17,18,1],
    367       [20,21,1],[24,24,1],[29,29,1],[34,35,2],[40,41,2],[48,48,2]
    368     ],
    369     0x22CD: [  // REVERSED TILDE EQUALS
    370       [5,4,0],[6,4,0],[8,5,0],[9,6,0],[10,7,0],[12,8,0],[15,10,0],[17,10,-1],
    371       [20,12,-1],[24,15,-1],[29,18,-1],[34,21,-1],[40,25,-1],[48,29,-2]
    372     ],
    373     0x22CE: [  // CURLY LOGICAL OR
    374       [5,5,1],[6,6,1],[7,7,1],[8,8,1],[10,10,1],[12,11,1],[14,13,1],[16,15,1],
    375       [19,17,1],[23,20,1],[27,24,1],[32,28,1],[38,34,2],[45,41,2]
    376     ],
    377     0x22CF: [  // CURLY LOGICAL AND
    378       [5,5,1],[6,6,1],[7,7,1],[8,8,1],[10,9,1],[12,11,1],[14,13,1],[16,15,1],
    379       [19,17,1],[23,20,1],[27,24,1],[32,29,2],[38,34,2],[45,40,2]
    380     ],
    381     0x22D0: [  // DOUBLE SUBSET
    382       [5,5,1],[6,6,1],[7,7,1],[8,8,1],[10,9,1],[12,10,1],[14,12,1],[16,14,1],
    383       [19,17,2],[23,20,2],[27,23,2],[33,27,2],[39,33,3],[46,39,3]
    384     ],
    385     0x22D1: [  // DOUBLE SUPERSET
    386       [5,5,1],[6,6,1],[7,7,1],[8,8,1],[10,9,1],[12,10,1],[14,12,1],[17,14,1],
    387       [20,17,2],[23,20,2],[28,24,2],[33,28,2],[39,33,3],[46,39,3]
    388     ],
    389     0x22D2: [  // DOUBLE INTERSECTION
    390       [5,5,1],[5,6,1],[6,7,1],[7,8,1],[9,10,1],[10,11,1],[12,13,1],[14,15,1],
    391       [17,18,1],[21,21,1],[24,25,1],[29,30,2],[34,36,2],[41,42,2]
    392     ],
    393     0x22D3: [  // DOUBLE UNION
    394       [5,5,1],[6,6,1],[6,7,1],[8,8,1],[9,10,1],[11,11,1],[12,13,1],[14,15,1],
    395       [18,18,1],[21,21,1],[24,25,1],[29,29,1],[34,36,2],[41,42,2]
    396     ],
    397     0x22D4: [  // PITCHFORK
    398       [5,7,1],[6,8,1],[6,9,1],[8,10,1],[9,12,1],[11,14,1],[12,16,1],[15,19,1],
    399       [18,22,1],[21,26,1],[24,30,1],[29,37,2],[34,43,2],[41,51,2]
    400     ],
    401     0x22D6: [  // LESS-THAN WITH DOT
    402       [5,5,1],[6,6,1],[7,7,1],[9,8,1],[10,9,1],[12,10,1],[14,12,1],[17,14,1],
    403       [20,17,2],[23,20,2],[28,24,2],[33,28,2],[39,33,3],[46,39,3]
    404     ],
    405     0x22D7: [  // GREATER-THAN WITH DOT
    406       [5,5,1],[6,6,1],[7,7,1],[9,8,1],[10,9,1],[12,10,1],[14,12,1],[17,14,1],
    407       [20,17,2],[23,20,2],[27,24,2],[33,28,2],[39,33,3],[46,39,3]
    408     ],
    409     0x22D8: [  // VERY MUCH LESS-THAN
    410       [9,5,1],[11,6,1],[13,7,1],[15,8,1],[18,9,1],[22,12,2],[25,14,2],[30,16,2],
    411       [36,18,2],[42,22,3],[50,26,3],[60,31,4],[71,36,4],[84,43,5]
    412     ],
    413     0x22D9: [  // VERY MUCH GREATER-THAN
    414       [9,5,1],[11,6,1],[13,7,1],[16,8,1],[18,9,1],[22,12,2],[25,14,2],[30,16,2],
    415       [36,18,2],[43,22,3],[51,26,3],[60,31,4],[71,36,4],[85,43,5]
    416     ],
    417     0x22DA: [  // stix-less, equal, slanted, greater
    418       [5,10,3],[6,12,4],[7,13,4],[8,16,5],[10,19,6],[12,22,7],[14,26,8],[16,30,9],
    419       [19,36,11],[23,43,13],[27,50,15],[32,60,18],[38,71,22],[45,85,26]
    420     ],
    421     0x22DB: [  // stix-greater, equal, slanted, less
    422       [5,10,3],[6,12,4],[7,13,4],[8,16,5],[10,19,6],[12,22,7],[14,26,8],[16,30,9],
    423       [19,36,11],[23,43,13],[27,51,16],[32,60,18],[38,71,22],[45,85,26]
    424     ],
    425     0x22DE: [  // EQUAL TO OR PRECEDES
    426       [5,7,1],[6,8,1],[7,9,1],[9,10,1],[10,12,1],[12,14,1],[14,16,1],[17,18,1],
    427       [20,22,1],[23,26,1],[28,30,1],[33,35,1],[39,42,1],[46,50,1]
    428     ],
    429     0x22DF: [  // EQUAL TO OR SUCCEEDS
    430       [5,6,0],[6,7,0],[7,8,0],[9,9,0],[10,11,0],[12,13,0],[14,15,0],[17,18,0],
    431       [20,21,0],[23,25,0],[28,29,0],[33,35,0],[39,41,0],[46,49,0]
    432     ],
    433     0x22E0: [  // stix-not (vert) precedes or contour equals
    434       [5,9,3],[6,10,3],[7,11,3],[9,14,4],[10,17,5],[12,20,6],[14,22,6],[17,27,7],
    435       [20,32,9],[23,38,11],[28,44,12],[33,53,15],[39,62,17],[46,74,21]
    436     ],
    437     0x22E1: [  // stix-not (vert) succeeds or contour equals
    438       [5,9,3],[6,10,3],[7,11,3],[9,14,4],[10,17,5],[12,20,6],[14,22,6],[17,26,7],
    439       [20,32,9],[23,38,11],[28,44,12],[33,53,15],[39,62,17],[46,74,21]
    440     ],
    441     0x22E6: [  // LESS-THAN BUT NOT EQUIVALENT TO
    442       [5,9,3],[6,10,3],[8,12,4],[9,14,5],[10,16,5],[13,19,6],[15,22,7],[17,26,9],
    443       [20,31,10],[24,37,12],[29,44,15],[34,51,17],[40,61,20],[48,73,24]
    444     ],
    445     0x22E7: [  // GREATER-THAN BUT NOT EQUIVALENT TO
    446       [5,9,3],[6,10,3],[8,12,4],[9,14,5],[10,16,5],[13,19,6],[15,22,7],[17,26,9],
    447       [20,31,10],[24,37,12],[29,44,15],[34,51,17],[40,61,20],[48,73,24]
    448     ],
    449     0x22E8: [  // PRECEDES BUT NOT EQUIVALENT TO
    450       [5,9,3],[6,10,3],[8,12,4],[9,14,5],[10,16,5],[13,19,6],[15,22,7],[17,26,9],
    451       [20,31,10],[24,37,12],[29,43,14],[34,51,17],[40,61,20],[48,73,24]
    452     ],
    453     0x22E9: [  // SUCCEEDS BUT NOT EQUIVALENT TO
    454       [5,9,3],[6,10,3],[8,12,4],[9,14,5],[10,16,5],[13,19,6],[15,23,8],[17,26,9],
    455       [20,31,10],[24,37,12],[29,44,15],[34,51,17],[40,62,21],[48,73,24]
    456     ],
    457     0x22EA: [  // NOT NORMAL SUBGROUP OF
    458       [5,8,2],[6,9,2],[7,10,3],[8,12,3],[10,14,4],[12,16,4],[14,19,5],[17,22,5],
    459       [20,26,6],[23,31,7],[28,37,9],[33,43,10],[39,52,12],[46,61,14]
    460     ],
    461     0x22EB: [  // DOES NOT CONTAIN AS NORMAL SUBGROUP
    462       [5,8,2],[6,9,2],[7,10,3],[9,12,3],[10,14,4],[12,16,4],[14,19,5],[17,22,5],
    463       [19,26,6],[23,31,7],[27,37,9],[33,43,10],[39,52,12],[46,61,14]
    464     ],
    465     0x22EC: [  // stix-not, vert, left triangle, equals
    466       [5,9,3],[6,10,3],[7,11,3],[9,14,4],[10,17,5],[12,20,6],[14,22,6],[17,26,7],
    467       [20,32,9],[23,38,11],[28,44,12],[33,53,15],[39,62,17],[46,74,21]
    468     ],
    469     0x22ED: [  // stix-not, vert, right triangle, equals
    470       [5,9,3],[6,10,3],[8,11,3],[9,14,4],[10,17,5],[12,20,6],[14,22,6],[17,26,7],
    471       [20,32,9],[23,38,11],[28,44,12],[33,53,15],[39,62,17],[46,74,21]
    472     ]
    473   }
    474 });
    475 
    476 MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].imgDir+"/AMS/Regular"+
    477                           MathJax.OutputJax["HTML-CSS"].imgPacked+"/MathOperators.js");