B Operator Dictionary (Non-Normative)

Overview: Mathematical Markup Language (MathML) Version 3.0
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B Operator Dictionary (Non-Normative)
    B.1 Format of operator dictionary entries
    B.2 Indexing of operator dictionary
    B.3 Choice of entity names
    B.4 Notes on lspace and rspace attributes
    B.5 Operator dictionary entries
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The current appendix describes MathML2, it may need to be updated in later drafts.

Resolution None recorded

The following table gives the suggested dictionary of rendering properties for operators, fences, separators, and accents in MathML, all of which are represented by mo elements. For brevity, all such elements will be called simply "operators" in this Appendix.

B.1 Format of operator dictionary entries

The operators are divided into groups, which are separated by blank lines in the listing below. The grouping, and the order of the groups, is significant for the proper grouping of sub-expressions using <mrow> (Section 3.3.1 Horizontally Group Sub-Expressions (mrow)); the rule described there is especially relevant to the automatic generation of MathML by conversion from other formats for displayed mathematics, such as TEX, which do not always specify how sub-expressions nest.

The format of the table entries is: the <mo> element content between double quotes (start and end tags not shown), followed by the attribute list in XML format, starting with the form attribute, followed by the default rendering attributes which should be used for mo elements with the given content and form attribute.

Any attribute not listed for some entry has its default value, which is given in parentheses in the table of attributes in Section 3.2.5 Operator, Fence, Separator or Accent (mo).

Note that the characters & and < are represented in the following table entries by the entity references &amp; and &lt; respectively, as would be necessary if they appeared in the content of an actual mo element (or any other MathML or XML element).

For example, the first entry,

"(" form="prefix" fence="true" stretchy="true" lspace="0em" rspace="0em"

could be expressed as an mo element by:

<mo form="prefix" fence="true" stretchy="true" lspace="0em" rspace="0em"> ( </mo>
(

(note the lack of double quotes around the content, and the whitespace added around the content for readability, which is optional in MathML).

This entry means that, for MathML renderers which use this suggested operator dictionary, giving the element <mo form="prefix"> ( </mo> alone, or simply <mo> ( </mo> in a position for which form="prefix" would be inferred (see below), is equivalent to giving the element with all attributes as shown above.

B.2 Indexing of operator dictionary

Note that the dictionary is indexed not just by the element content, but by the element content and form attribute value, together. Operators with more than one possible form have more than one entry. The MathML specification describes how the renderer chooses ("infers") which form to use when no form attribute is given; see Section 3.2.5.7.2 Default value of the form attribute.

Having made that choice, or with the form attribute explicitly specified in the <mo> element's start tag, the MathML renderer uses the remaining attributes from the dictionary entry for the appropriate single form of that operator, ignoring the entries for the other possible forms.

B.3 Choice of entity names

Extended characters in MathML (and in the operator dictionary below) are represented by XML-style entity references using the syntax &character-name; the complete list of characters and character names is given in Chapter 6 Characters, Entities and Fonts. Many characters can be referred to by more than one name; often, memorable names composed of full words have been provided in MathML, as well as one or more names used in other standards, such as Unicode. The characters in the operators in this dictionary are generally listed under their full-word names when these exist. For example, the integral operator is named below by the one-character sequence &Integral;, but could equally well be named &int;. The choice of name for a given character in MathML has no effect on its rendering.

It is intended that every entity named below appears somewhere in Chapter 6 Characters, Entities and Fonts. If this is not true, it is an error in this specification. If such an error exists, the abovementioned chapter should be taken as definitive, rather than this appendix.

B.4 Notes on lspace and rspace attributes

The values for lspace and rspace given here range from 0 to "verythickmathspace", which has a default value of 6/18 em. For the invisible operators whose content is &InvisibleTimes; or &ApplyFunction;, it is suggested that MathML renderers choose spacing in a context-sensitive way (which is an exception to the static values given in the following table). For <mo>&ApplyFunction;</mo>, the total spacing ("lspace"+"rspace") in expressions such as "sin x" (where the right operand doesn't start with a fence) should be greater than zero; for <mo>&InvisibleTimes;</mo>, the total spacing should be greater than zero when both operands (or the nearest tokens on either side, if on the baseline) are identifiers displayed in a non-slanted font (i.e. under the suggested rules, when both operands are multi-character identifiers).

Some renderers may wish to use no spacing for most operators appearing in scripts (i.e. when scriptlevel is greater than 0; see Section 3.3.4 Style Change (mstyle)), as is the case in TEX.

B.5 Operator dictionary entries

"("                                  form="prefix"  fence="true" stretchy="true"  lspace="0em" rspace="0em"
")"                                  form="postfix" fence="true" stretchy="true"  lspace="0em" rspace="0em"
"["                                  form="prefix"  fence="true" stretchy="true"  lspace="0em" rspace="0em"
"]"                                  form="postfix" fence="true" stretchy="true"  lspace="0em" rspace="0em"
"{"                                  form="prefix"  fence="true" stretchy="true"  lspace="0em" rspace="0em"
"}"                                  form="postfix" fence="true" stretchy="true"  lspace="0em" rspace="0em"
    
"&#x201D;<!--RIGHT DOUBLE QUOTATION MARK-->"            form="postfix" fence="true"  lspace="0em" rspace="0em"
"&#x2019;<!--RIGHT SINGLE QUOTATION MARK-->"                  form="postfix" fence="true"  lspace="0em" rspace="0em"
"&#x27E8;<!--MATHEMATICAL LEFT ANGLE BRACKET-->"                 form="prefix"  fence="true" stretchy="true"  lspace="0em" rspace="0em""
"&#x2308;<!--LEFT CEILING-->"                      form="prefix"  fence="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x27E6;<!--MATHEMATICAL LEFT WHITE SQUARE BRACKET-->"                form="prefix"  fence="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x230A;<!--LEFT FLOOR-->"                        form="prefix"  fence="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x201C;<!--LEFT DOUBLE QUOTATION MARK-->"             form="prefix"  fence="true"  lspace="0em" rspace="0em"
"&#x2018;<!--LEFT SINGLE QUOTATION MARK-->"                   form="prefix"  fence="true"  lspace="0em" rspace="0em"
"&#x27E9;<!--MATHEMATICAL RIGHT ANGLE BRACKET-->"                form="postfix" fence="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x2309;<!--RIGHT CEILING-->"                     form="postfix" fence="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x27E7;<!--MATHEMATICAL RIGHT WHITE SQUARE BRACKET-->"               form="postfix" fence="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x230B;<!--RIGHT FLOOR-->"                       form="postfix" fence="true" stretchy="true"  lspace="0em" rspace="0em"
    
"&#x2063;<!--INVISIBLE SEPARATOR-->"                   form="infix"   separator="true"  lspace="0em" rspace="0em"
    
","                                  form="infix"   separator="true"  lspace="0em" rspace="verythickmathspace"
    
"&#x2500;<!--BOX DRAWINGS LIGHT HORIZONTAL-->"                   form="infix"   stretchy="true" minsize="0"  lspace="0em" rspace="0em"
"&#x7C;<!--VERTICAL LINE-->"                     form="infix"   stretchy="true" minsize="0"  lspace="0em" rspace="0em"
    
";"                                  form="infix"   separator="true"  lspace="0em" rspace="thickmathspace"
";"                                  form="postfix" separator="true"  lspace="0em" rspace="0em"
    
":="                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2254;<!--COLON EQUALS-->"                           form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"&#x2235;<!--BECAUSE-->"                          form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2234;<!--THEREFORE-->"                        form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"&#x2758;<!--LIGHT VERTICAL BAR-->"                form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
    
"//"                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"&#x2237;<!--PROPORTION-->"                            form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"&#x26;<!--AMPERSAND-->"                              form="prefix"   lspace="0em" rspace="thickmathspace"
"&#x26;<!--AMPERSAND-->"                              form="postfix"  lspace="thickmathspace" rspace="0em"
    
"*="                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"-="                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"+="                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"/="                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"->"                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
":"                                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
".."                                 form="postfix"  lspace="mediummathspace" rspace="0em"
"..."                                form="postfix"  lspace="mediummathspace" rspace="0em"
    
"&#x220B;<!--CONTAINS AS MEMBER-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"&#x2AE4;<!--VERTICAL BAR DOUBLE LEFT TURNSTILE-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22A8;<!--TRUE-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22A4;<!--DOWN TACK-->"                          form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22A3;<!--LEFT TACK-->"                          form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22A2;<!--RIGHT TACK-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"&#x21D2;<!--RIGHTWARDS DOUBLE ARROW-->"                          form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2970;<!--RIGHT DOUBLE ARROW WITH ROUNDED HEAD-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"|"                                  form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"||"                                 form="infix"    lspace="mediummathspace" rspace="mediummathspace"
"&#x2A54;<!--DOUBLE LOGICAL OR-->"                               form="infix"   stretchy="true"  lspace="mediummathspace" rspace="mediummathspace"
    
"&#x26;<!--AMPERSAND-->&#x26;<!--AMPERSAND-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2A53;<!--DOUBLE LOGICAL AND-->"                              form="infix"   stretchy="true"  lspace="mediummathspace" rspace="mediummathspace"
    
"&#x26;<!--AMPERSAND-->"                              form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"!"                                  form="prefix"   lspace="0em" rspace="thickmathspace"
"&#x2AEC;<!--DOUBLE STROKE NOT SIGN-->"                              form="prefix"   lspace="0em" rspace="thickmathspace"
    
"&#x2203;<!--THERE EXISTS-->"                           form="prefix"   lspace="0em" rspace="thickmathspace"
"&#x2200;<!--FOR ALL-->"                           form="prefix"   lspace="0em" rspace="thickmathspace"
"&#x2204;<!--THERE DOES NOT EXIST-->"                        form="prefix"   lspace="0em" rspace="thickmathspace"
    
"&#x2208;<!--ELEMENT OF-->"                          form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2209;<!--NOT AN ELEMENT OF-->"                       form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x220C;<!--DOES NOT CONTAIN AS MEMBER-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x228F;&#x338;<!--SQUARE IMAGE OF with slash-->"                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22E2;<!--NOT SQUARE IMAGE OF OR EQUAL TO-->"             form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2290;&#x338;<!--SQUARE ORIGINAL OF with slash-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22E3;<!--NOT SQUARE ORIGINAL OF OR EQUAL TO-->"           form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2282;&#x20D2;<!--SUBSET OF with vertical line-->"                        form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2288;<!--NEITHER A SUBSET OF NOR EQUAL TO-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2283;&#x20D2;<!--SUPERSET OF with vertical line-->"                      form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2289;<!--NEITHER A SUPERSET OF NOR EQUAL TO-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x220B;<!--CONTAINS AS MEMBER-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x228F;<!--SQUARE IMAGE OF-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2291;<!--SQUARE IMAGE OF OR EQUAL TO-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2290;<!--SQUARE ORIGINAL OF-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2292;<!--SQUARE ORIGINAL OF OR EQUAL TO-->"              form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22D0;<!--DOUBLE SUBSET-->"                           form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2286;<!--SUBSET OF OR EQUAL TO-->"                      form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2283;<!--SUPERSET OF-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2287;<!--SUPERSET OF OR EQUAL TO-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"&#x21D0;<!--LEFTWARDS DOUBLE ARROW-->"                  form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21D4;<!--LEFT RIGHT DOUBLE ARROW-->"             form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21D2;<!--RIGHTWARDS DOUBLE ARROW-->"                 form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2950;<!--LEFT BARB DOWN RIGHT BARB DOWN HARPOON-->"              form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x295E;<!--LEFTWARDS HARPOON WITH BARB DOWN FROM BAR-->"                form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21BD;<!--LEFTWARDS HARPOON WITH BARB DOWNWARDS-->"                   form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2956;<!--LEFTWARDS HARPOON WITH BARB DOWN TO BAR-->"                form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x295F;<!--RIGHTWARDS HARPOON WITH BARB DOWN FROM BAR-->"               form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21C1;<!--RIGHTWARDS HARPOON WITH BARB DOWNWARDS-->"                  form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2957;<!--RIGHTWARDS HARPOON WITH BARB DOWN TO BAR-->"               form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2190;<!--LEFTWARDS ARROW-->"                        form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21E4;<!--LEFTWARDS ARROW TO BAR-->"                     form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21C6;<!--LEFTWARDS ARROW OVER RIGHTWARDS ARROW-->"              form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2194;<!--LEFT RIGHT ARROW-->"                   form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x294E;<!--LEFT BARB UP RIGHT BARB UP HARPOON-->"                  form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21A4;<!--LEFTWARDS ARROW FROM BAR-->"                     form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x295A;<!--LEFTWARDS HARPOON WITH BARB UP FROM BAR-->"                    form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21BC;<!--LEFTWARDS HARPOON WITH BARB UPWARDS-->"                       form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2952;<!--LEFTWARDS HARPOON WITH BARB UP TO BAR-->"                    form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2199;<!--SOUTH WEST ARROW-->"                   form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2198;<!--SOUTH EAST ARROW-->"                  form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2192;<!--RIGHTWARDS ARROW-->"                       form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21E5;<!--RIGHTWARDS ARROW TO BAR-->"                    form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21C4;<!--RIGHTWARDS ARROW OVER LEFTWARDS ARROW-->"              form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21A6;<!--RIGHTWARDS ARROW FROM BAR-->"                    form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x295B;<!--RIGHTWARDS HARPOON WITH BARB UP FROM BAR-->"                   form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x21C0;<!--RIGHTWARDS HARPOON WITH BARB UPWARDS-->"                      form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2953;<!--RIGHTWARDS HARPOON WITH BARB UP TO BAR-->"                   form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2190;<!--LEFTWARDS ARROW-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2192;<!--RIGHTWARDS ARROW-->"                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2196;<!--NORTH WEST ARROW-->"                   form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2197;<!--NORTH EAST ARROW-->"                  form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
    
"="                                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x3C;<!--LESS-THAN SIGN-->"                               form="infix"    lspace="thickmathspace" rspace="thickmathspace"
">"                                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"!="                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"=="                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x3C;<!--LESS-THAN SIGN-->="                              form="infix"    lspace="thickmathspace" rspace="thickmathspace"
">="                                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2261;<!--IDENTICAL TO-->"                        form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x224D;<!--EQUIVALENT TO-->"                           form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2250;<!--APPROACHES THE LIMIT-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2225;<!--PARALLEL TO-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2A75;<!--TWO CONSECUTIVE EQUALS SIGNS-->"                            form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2242;<!--MINUS TILDE-->"                       form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x21CC;<!--RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON-->"                      form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x2265;<!--GREATER-THAN OR EQUAL TO-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22DB;<!--GREATER-THAN EQUAL TO OR LESS-THAN-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2267;<!--GREATER-THAN OVER EQUAL TO-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2AA2;<!--DOUBLE NESTED GREATER-THAN-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2277;<!--GREATER-THAN OR LESS-THAN-->"                      form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2A7E;<!--GREATER-THAN OR SLANTED EQUAL TO-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2273;<!--GREATER-THAN OR EQUIVALENT TO-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x224E;<!--GEOMETRICALLY EQUIVALENT TO-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x224F;<!--DIFFERENCE BETWEEN-->"                        form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22B2;<!--NORMAL SUBGROUP OF-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x29CF;<!--LEFT TRIANGLE BESIDE VERTICAL BAR-->"                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22B4;<!--NORMAL SUBGROUP OF OR EQUAL TO-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2264;<!--LESS-THAN OR EQUAL TO-->"                               form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22DA;<!--LESS-THAN EQUAL TO OR GREATER-THAN-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2266;<!--LESS-THAN OVER EQUAL TO-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2276;<!--LESS-THAN OR GREATER-THAN-->"                      form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2AA1;<!--DOUBLE NESTED LESS-THAN-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2A7D;<!--LESS-THAN OR SLANTED EQUAL TO-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2272;<!--LESS-THAN OR EQUIVALENT TO-->"                        form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x226B;<!--MUCH GREATER-THAN-->"             form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x226A;<!--MUCH LESS-THAN-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2262;<!--NOT IDENTICAL TO-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x226D;<!--NOT EQUIVALENT TO-->"                        form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2226;<!--NOT PARALLEL TO-->"             form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2260;<!--NOT EQUAL TO-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2242;&#x338;<!--MINUS TILDE with slash-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x226F;<!--NOT GREATER-THAN-->"                       form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2271;<!--NEITHER GREATER-THAN NOR EQUAL TO-->"                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2266;&#x338;<!--LESS-THAN OVER EQUAL TO with slash-->"              form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x226B;&#x338;<!--MUCH GREATER THAN with slash-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2279;<!--NEITHER GREATER-THAN NOR LESS-THAN-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2A7E;&#x338;<!--GREATER-THAN OR SLANTED EQUAL TO with slash-->"             form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2275;<!--NEITHER GREATER-THAN NOR EQUIVALENT TO-->"                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x224E;&#x338;<!--GEOMETRICALLY EQUIVALENT TO with slash-->"                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x224F;&#x338;<!--DIFFERENCE BETWEEN with slash-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22EA;<!--NOT NORMAL SUBGROUP OF-->"                  form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x29CF;&#x338;<!--LEFT TRIANGLE BESIDE VERTICAL BAR with slash-->"               form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22EC;<!--NOT NORMAL SUBGROUP OF OR EQUAL TO-->"             form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x226E;<!--NOT LESS-THAN-->"                          form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2270;<!--NEITHER LESS-THAN NOR EQUAL TO-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2278;<!--NEITHER LESS-THAN NOR GREATER-THAN-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x226A;&#x338;<!--MUCH LESS THAN with slash-->"                      form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2A7D;&#x338;<!--LESS-THAN OR SLANTED EQUAL TO with slash-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2274;<!--NEITHER LESS-THAN NOR EQUIVALENT TO-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2AA2;&#x338;<!--DOUBLE NESTED GREATER-THAN with slash-->"          form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2AA1;&#x338;<!--DOUBLE NESTED LESS-THAN with slash-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2280;<!--DOES NOT PRECEDE-->"                      form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2AAF;&#x338;<!--PRECEDES ABOVE SINGLE-LINE EQUALS SIGN with slash-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22E0;<!--DOES NOT PRECEDE OR EQUAL-->"            form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22EB;<!--DOES NOT CONTAIN AS NORMAL SUBGROUP-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x29D0;&#x338;<!--VERTICAL BAR BESIDE RIGHT TRIANGLE with slash-->"              form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22ED;<!--DOES NOT CONTAIN AS NORMAL SUBGROUP OR EQUAL-->"            form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2281;<!--DOES NOT SUCCEED-->"                      form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2AB0;&#x338;<!--SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN with slash-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22E1;<!--DOES NOT SUCCEED OR EQUAL-->"            form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x227F;&#x338;<!--SUCCEEDS OR EQUIVALENT TO with slash-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2241;<!--NOT TILDE-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2244;<!--NOT ASYMPTOTICALLY EQUAL TO-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2247;<!--NEITHER APPROXIMATELY NOR ACTUALLY EQUAL TO-->"                form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2249;<!--NOT ALMOST EQUAL TO-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2224;<!--DOES NOT DIVIDE-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x227A;<!--PRECEDES-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2AAF;<!--PRECEDES ABOVE SINGLE-LINE EQUALS SIGN-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x227C;<!--PRECEDES OR EQUAL TO-->"               form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x227E;<!--PRECEDES OR EQUIVALENT TO-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2237;<!--PROPORTION-->"                       form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x221D;<!--PROPORTIONAL TO-->"                     form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x21CB;<!--LEFTWARDS HARPOON OVER RIGHTWARDS HARPOON-->"               form="infix"   stretchy="true"  lspace="thickmathspace" rspace="thickmathspace"
"&#x22B3;<!--CONTAINS AS NORMAL SUBGROUP-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x29D0;<!--VERTICAL BAR BESIDE RIGHT TRIANGLE-->"                 form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22B5;<!--CONTAINS AS NORMAL SUBGROUP OR EQUAL TO-->"               form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x227B;<!--SUCCEEDS-->"                         form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2AB0;<!--SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x227D;<!--SUCCEEDS OR EQUAL TO-->"               form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x227F;<!--SUCCEEDS OR EQUIVALENT TO-->"                    form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x223C;<!--TILDE OPERATOR-->"                            form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2243;<!--ASYMPTOTICALLY EQUAL TO-->"                       form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2245;<!--APPROXIMATELY EQUAL TO-->"                   form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2248;<!--ALMOST EQUAL TO-->"                       form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x22A5;<!--UP TACK-->"                            form="infix"    lspace="thickmathspace" rspace="thickmathspace"
"&#x2223;<!--DIVIDES-->"                      form="infix"    lspace="thickmathspace" rspace="thickmathspace"
    
"&#x2294;<!--SQUARE CUP-->"                      form="infix"   stretchy="true"  lspace="mediummathspace" rspace="mediummathspace"
"&#x22C3;<!--N-ARY UNION-->"                            form="infix"   stretchy="true"  lspace="mediummathspace" rspace="mediummathspace"
"&#x228E;<!--MULTISET UNION-->"                        form="infix"   stretchy="true"  lspace="mediummathspace" rspace="mediummathspace"
    
"-"                                  form="infix"    lspace="mediummathspace" rspace="mediummathspace"
"+"                                  form="infix"    lspace="mediummathspace" rspace="mediummathspace"
"&#x22C2;<!--N-ARY INTERSECTION-->"                     form="infix"   stretchy="true"  lspace="mediummathspace" rspace="mediummathspace"
"&#x2213;<!--MINUS-OR-PLUS SIGN-->"                        form="infix"    lspace="mediummathspace" rspace="mediummathspace"
"&#xB1;<!--PLUS-MINUS SIGN-->"                        form="infix"    lspace="mediummathspace" rspace="mediummathspace"
"&#x2293;<!--SQUARE CAP-->"               form="infix"   stretchy="true"  lspace="mediummathspace" rspace="mediummathspace"
    
"&#x22C1;<!--N-ARY LOGICAL OR-->"                              form="prefix"  largeop="true" movablelimits="true" stretchy="true"  lspace="0em" rspace="thinmathspace"
"&#x2296;<!--CIRCLED MINUS-->"                      form="prefix"  largeop="true" movablelimits="true"  lspace="0em" rspace="thinmathspace"
"&#x2295;<!--CIRCLED PLUS-->"                       form="prefix"  largeop="true" movablelimits="true"  lspace="0em" rspace="thinmathspace"
"&#x2211;<!--N-ARY SUMMATION-->"                              form="prefix"  largeop="true" movablelimits="true" stretchy="true"  lspace="0em" rspace="thinmathspace"
"&#x22C3;<!--N-ARY UNION-->"                            form="prefix"  largeop="true" movablelimits="true" stretchy="true"  lspace="0em" rspace="thinmathspace"
"&#x228E;<!--MULTISET UNION-->"                        form="prefix"  largeop="true" movablelimits="true" stretchy="true"  lspace="0em" rspace="thinmathspace"
"lim"                                form="prefix"  movablelimits="true"  lspace="0em" rspace="thinmathspace"
"max"                                form="prefix"  movablelimits="true"  lspace="0em" rspace="thinmathspace"
"min"                                form="prefix"  movablelimits="true"  lspace="0em" rspace="thinmathspace"
    
"&#x2296;<!--CIRCLED MINUS-->"                      form="infix"    lspace="thinmathspace" rspace="thinmathspace"
"&#x2295;<!--CIRCLED PLUS-->"                       form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x2232;<!--CLOCKWISE CONTOUR INTEGRAL-->"         form="prefix"  largeop="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x222E;<!--CONTOUR INTEGRAL-->"                  form="prefix"  largeop="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x2233;<!--ANTICLOCKWISE CONTOUR INTEGRAL-->"  form="prefix"  largeop="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x222F;<!--SURFACE INTEGRAL-->"            form="prefix"  largeop="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x222B;<!--INTEGRAL-->"                         form="prefix"  largeop="true" stretchy="true"  lspace="0em" rspace="0em"
    
"&#x22D3;<!--DOUBLE UNION-->"                              form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x22D2;<!--DOUBLE INTERSECTION-->"                              form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x2240;<!--WREATH PRODUCT-->"                    form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x22C0;<!--N-ARY LOGICAL AND-->"                            form="prefix"  largeop="true" movablelimits="true" stretchy="true"  lspace="0em" rspace="thinmathspace"
"&#x2297;<!--CIRCLED TIMES-->"                      form="prefix"  largeop="true" movablelimits="true"  lspace="0em" rspace="thinmathspace"
"&#x2210;<!--N-ARY COPRODUCT-->"                        form="prefix"  largeop="true" movablelimits="true" stretchy="true"  lspace="0em" rspace="thinmathspace"
"&#x220F;<!--N-ARY PRODUCT-->"                          form="prefix"  largeop="true" movablelimits="true" stretchy="true"  lspace="0em" rspace="thinmathspace"
"&#x22C2;<!--N-ARY INTERSECTION-->"                     form="prefix"  largeop="true" movablelimits="true" stretchy="true"  lspace="0em" rspace="thinmathspace"
    
"&#x2210;<!--N-ARY COPRODUCT-->"                        form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x22C6;<!--STAR OPERATOR-->"                             form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x2299;<!--CIRCLED DOT OPERATOR-->"                        form="prefix"  largeop="true" movablelimits="true"  lspace="0em" rspace="thinmathspace"
    
"*"                                  form="infix"    lspace="thinmathspace" rspace="thinmathspace"
"&#x2062;<!--INVISIBLE TIMES-->"                   form="infix"    lspace="0em" rspace="0em"
    
"&#xB7;<!--MIDDLE DOT-->"                        form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x2297;<!--CIRCLED TIMES-->"                      form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x22C1;<!--N-ARY LOGICAL OR-->"                              form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x22C0;<!--N-ARY LOGICAL AND-->"                            form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x22C4;<!--DIAMOND OPERATOR-->"                          form="infix"    lspace="thinmathspace" rspace="thinmathspace"
    
"&#x2216;<!--SET MINUS-->"                        form="infix"   stretchy="true"  lspace="thinmathspace" rspace="thinmathspace"
    
"/"                                  form="infix"   stretchy="true"  lspace="thinmathspace" rspace="thinmathspace"
    
"-"                                  form="prefix"   lspace="0em" rspace="veryverythinmathspace"
"+"                                  form="prefix"   lspace="0em" rspace="veryverythinmathspace"
"&#x2213;<!--MINUS-OR-PLUS SIGN-->"                        form="prefix"   lspace="0em" rspace="veryverythinmathspace"
"&#xB1;<!--PLUS-MINUS SIGN-->"                        form="prefix"   lspace="0em" rspace="veryverythinmathspace"
    
"."                                  form="infix"    lspace="0em" rspace="0em"
    
"&#x2A2F;<!--VECTOR OR CROSS PRODUCT-->"                            form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"**"                                 form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"&#x2299;<!--CIRCLED DOT OPERATOR-->"                        form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"&#x2218;<!--RING OPERATOR-->"                      form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"&#x25A1;<!--WHITE SQUARE-->"                           form="prefix"   lspace="0em" rspace="verythinmathspace"
    
"&#x2207;<!--NABLA-->"                              form="prefix"   lspace="0em" rspace="verythinmathspace"
"&#x2202;<!--PARTIAL DIFFERENTIAL-->"                         form="prefix"   lspace="0em" rspace="verythinmathspace"
    
"&#x2145;<!--DOUBLE-STRUCK ITALIC CAPITAL D-->"             form="prefix"   lspace="0em" rspace="verythinmathspace"
"&#x2146;<!--DOUBLE-STRUCK ITALIC SMALL D-->"                    form="prefix"   lspace="0em" rspace="verythinmathspace"
    
"&#x221A;<!--SQUARE ROOT-->"                             form="prefix"  stretchy="true"  lspace="0em" rspace="verythinmathspace"
    
"&#x21D3;<!--DOWNWARDS DOUBLE ARROW-->"                  form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x27F8;<!--LONG LEFTWARDS DOUBLE ARROW-->"              form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x27FA;<!--LONG LEFT RIGHT DOUBLE ARROW-->"         form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x27F9;<!--LONG RIGHTWARDS DOUBLE ARROW-->"             form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21D1;<!--UPWARDS DOUBLE ARROW-->"                    form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21D5;<!--UP DOWN DOUBLE ARROW-->"                form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2193;<!--DOWNWARDS ARROW-->"                        form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2913;<!--DOWNWARDS ARROW TO BAR-->"                     form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21F5;<!--DOWNWARDS ARROW LEFTWARDS OF UPWARDS ARROW-->"                 form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21A7;<!--DOWNWARDS ARROW FROM BAR-->"                     form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2961;<!--DOWNWARDS HARPOON WITH BARB LEFT FROM BAR-->"                form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21C3;<!--DOWNWARDS HARPOON WITH BARB LEFTWARDS-->"                   form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2959;<!--DOWNWARDS HARPOON WITH BARB LEFT TO BAR-->"                form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2951;<!--UP BARB LEFT DOWN BARB LEFT HARPOON-->"                 form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2960;<!--UPWARDS HARPOON WITH BARB LEFT FROM BAR-->"                  form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21BF;<!--UPWARDS HARPOON WITH BARB LEFTWARDS-->"                     form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2958;<!--UPWARDS HARPOON WITH BARB LEFT TO BAR-->"                  form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x27F5;<!--LONG LEFTWARDS ARROW-->"                    form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x27F7;<!--LONG LEFT RIGHT ARROW-->"               form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x27F6;<!--LONG RIGHTWARDS ARROW-->"                   form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x296F;<!--DOWNWARDS HARPOON WITH BARB LEFT BESIDE UPWARDS HARPOON WITH BARB RIGHT-->"             form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x295D;<!--DOWNWARDS HARPOON WITH BARB RIGHT FROM BAR-->"               form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21C2;<!--DOWNWARDS HARPOON WITH BARB RIGHTWARDS-->"                  form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2955;<!--DOWNWARDS HARPOON WITH BARB RIGHT TO BAR-->"               form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x294F;<!--UP BARB RIGHT DOWN BARB RIGHT HARPOON-->"                form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x295C;<!--UPWARDS HARPOON WITH BARB RIGHT FROM BAR-->"                 form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21BE;<!--UPWARDS HARPOON WITH BARB RIGHTWARDS-->"                    form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2954;<!--UPWARDS HARPOON WITH BARB RIGHT TO BAR-->"                 form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2193;<!--DOWNWARDS ARROW-->"                   form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2191;<!--UPWARDS ARROW-->"                     form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2191;<!--UPWARDS ARROW-->"                          form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2912;<!--UPWARDS ARROW TO BAR-->"                       form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21C5;<!--UPWARDS ARROW LEFTWARDS OF DOWNWARDS ARROW-->"                 form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x2195;<!--UP DOWN ARROW-->"                      form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x296E;<!--UPWARDS HARPOON WITH BARB LEFT BESIDE DOWNWARDS HARPOON WITH BARB RIGHT-->"                    form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
"&#x21A5;<!--UPWARDS ARROW FROM BAR-->"                       form="infix"   stretchy="true"  lspace="verythinmathspace" rspace="verythinmathspace"
    
"^"                                  form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"&#x3C;<!--LESS-THAN SIGN-->>"                              form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"'"                                  form="postfix"  lspace="verythinmathspace" rspace="0em"
    
"!"                                  form="postfix"  lspace="verythinmathspace" rspace="0em"
"!!"                                 form="postfix"  lspace="verythinmathspace" rspace="0em"
    
"~"                                  form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"@"                                  form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"--"                                 form="postfix"  lspace="verythinmathspace" rspace="0em"
"--"                                 form="prefix"   lspace="0em" rspace="verythinmathspace"
"++"                                 form="postfix"  lspace="verythinmathspace" rspace="0em"
"++"                                 form="prefix"   lspace="0em" rspace="verythinmathspace"
    
"&#x2061;<!--FUNCTION APPLICATION-->"                    form="infix"    lspace="0em" rspace="0em"
    
"?"                                  form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"_"                                  form="infix"    lspace="verythinmathspace" rspace="verythinmathspace"
    
"&#x2D8;<!--BREVE-->"                            form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#xB8;<!--CEDILLA-->"                          form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#x60;<!--GRAVE ACCENT-->"                 form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#x2D9;<!--DOT ABOVE-->"                   form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#x2DD;<!--DOUBLE ACUTE ACCENT-->"           form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#x2190;<!--LEFTWARDS ARROW-->"                        form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x2194;<!--LEFT RIGHT ARROW-->"                   form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x294E;<!--LEFT BARB UP RIGHT BARB UP HARPOON-->"                  form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x21BC;<!--LEFTWARDS HARPOON WITH BARB UPWARDS-->"                       form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#xB4;<!--ACUTE ACCENT-->"                 form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#x2192;<!--RIGHTWARDS ARROW-->"                       form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x21C0;<!--RIGHTWARDS HARPOON WITH BARB UPWARDS-->"                      form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x2DC;<!--SMALL TILDE-->"                 form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#xA8;<!--DIAERESIS-->"                        form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#x311;<!--COMBINING INVERTED BREVE-->"                        form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#x2C7;<!--CARON-->"                            form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x5E;<!--CIRCUMFLEX ACCENT-->"                              form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#xAF;<!--MACRON-->"                          form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x23DE;<!--TOP CURLY BRACKET-->"                        form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x23B4;<!--TOP SQUARE BRACKET-->"                      form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x23DC;<!--TOP PARENTHESIS-->"                  form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x20DB;<!--COMBINING THREE DOTS ABOVE-->"                        form="postfix" accent="true"  lspace="0em" rspace="0em"
"&#x332;<!--COMBINING LOW LINE-->"                         form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x23DF;<!--BOTTOM CURLY BRACKET-->"                       form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x23B5;<!--BOTTOM SQUARE BRACKET-->"                     form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
"&#x23DD;<!--BOTTOM PARENTHESIS-->"                 form="postfix" accent="true" stretchy="true"  lspace="0em" rspace="0em"
Overview: Mathematical Markup Language (MathML) Version 3.0
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