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diff --git a/js/mathjax/jax/input/MathML/entities/v.js b/js/mathjax/jax/input/MathML/entities/v.js
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+++ b/js/mathjax/jax/input/MathML/entities/v.js
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+// @license magnet:?xt=urn:btih:8e4f440f4c65981c5bf93c76d35135ba5064d8b7dn=apache-2.0.txt Apache-2.0
+/*************************************************************
+ *
+ *  MathJax/jax/output/HTML-CSS/entities/v.js
+ *
+ *  Copyright (c) 2010-2020 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ *
+ */
+
+(function (MATHML) {
+  MathJax.Hub.Insert(MATHML.Parse.Entity,{
+    'VDash': '\u22AB',
+    'Vbar': '\u2AEB',
+    'Vcy': '\u0412',
+    'Vdashl': '\u2AE6',
+    'Verbar': '\u2016',
+    'Vert': '\u2016',
+    'VerticalLine': '\u007C',
+    'VerticalSeparator': '\u2758',
+    'VeryThinSpace': '\u200A',
+    'vArr': '\u21D5',
+    'vBar': '\u2AE8',
+    'vBarv': '\u2AE9',
+    'vDash': '\u22A8',
+    'vangrt': '\u299C',
+    'varepsilon': '\u03F5',
+    'varkappa': '\u03F0',
+    'varnothing': '\u2205',
+    'varphi': '\u03D5',
+    'varpi': '\u03D6',
+    'varpropto': '\u221D',
+    'varr': '\u2195',
+    'varrho': '\u03F1',
+    'varsigma': '\u03C2',
+    'varsubsetneq': '\u228A\uFE00',
+    'varsubsetneqq': '\u2ACB\uFE00',
+    'varsupsetneq': '\u228B\uFE00',
+    'varsupsetneqq': '\u2ACC\uFE00',
+    'vartheta': '\u03D1',
+    'vartriangleleft': '\u22B2',
+    'vartriangleright': '\u22B3',
+    'vcy': '\u0432',
+    'vdash': '\u22A2',
+    'vee': '\u2228',
+    'veeeq': '\u225A',
+    'verbar': '\u007C',
+    'vert': '\u007C',
+    'vltri': '\u22B2',
+    'vnsub': '\u2282\u20D2',
+    'vnsup': '\u2283\u20D2',
+    'vprop': '\u221D',
+    'vrtri': '\u22B3',
+    'vsubnE': '\u2ACB\uFE00',
+    'vsubne': '\u228A\uFE00',
+    'vsupnE': '\u2ACC\uFE00',
+    'vsupne': '\u228B\uFE00',
+    'vzigzag': '\u299A'
+  });
+
+  MathJax.Ajax.loadComplete(MATHML.entityDir+"/v.js");
+
+})(MathJax.InputJax.MathML);
+// @license-end