
<!--
     File mmlalias.ent produced by the XSL script entities.xsl
     from input data in unicode.xml.

     Copyright 1998 - 2010 W3C.

     Use and distribution of this code are permitted under the terms of the
     W3C Software Notice and License.
     http://www.w3.org/Consortium/Legal/2002/copyright-software-20021231.html

     Please report any errors to David Carlisle
     via the public W3C list www-math@w3.org.

     The numeric character values assigned to each entity
     (should) match the Unicode assignments in Unicode 5.x.

     References to the VARIANT SELECTOR 1 character (&#x0FE00;)
     should match the uses listed in Unicode Technical Report 25.

-->


<!-- 

       Public identifier: -//W3C//ENTITIES MathML Aliases//EN//XML
       System identifier: http://www.w3.org/2003/entities/2007/mmlalias.ent

     The public identifier should always be used verbatim.
     The system identifier may be changed to suit local requirements.

     Typical invocation:

       <!ENTITY % mmlalias PUBLIC
         "-//W3C//ENTITIES MathML Aliases//EN//XML"
         "http://www.w3.org/2003/entities/2007/mmlalias.ent"
       >
       %mmlalias;

-->

<!ENTITY angle            "&#x02220;" ><!--ANGLE -->
<!ENTITY ApplyFunction    "&#x02061;" ><!--FUNCTION APPLICATION -->
<!ENTITY approx           "&#x02248;" ><!--ALMOST EQUAL TO -->
<!ENTITY approxeq         "&#x0224A;" ><!--ALMOST EQUAL OR EQUAL TO -->
<!ENTITY Assign           "&#x02254;" ><!--COLON EQUALS -->
<!ENTITY backcong         "&#x0224C;" ><!--ALL EQUAL TO -->
<!ENTITY backepsilon      "&#x003F6;" ><!--GREEK REVERSED LUNATE EPSILON SYMBOL -->
<!ENTITY backprime        "&#x02035;" ><!--REVERSED PRIME -->
<!ENTITY backsim          "&#x0223D;" ><!--REVERSED TILDE -->
<!ENTITY backsimeq        "&#x022CD;" ><!--REVERSED TILDE EQUALS -->
<!ENTITY Backslash        "&#x02216;" ><!--SET MINUS -->
<!ENTITY barwedge         "&#x02305;" ><!--PROJECTIVE -->
<!ENTITY because          "&#x02235;" ><!--BECAUSE -->
<!ENTITY Because          "&#x02235;" ><!--BECAUSE -->
<!ENTITY Bernoullis       "&#x0212C;" ><!--SCRIPT CAPITAL B -->
<!ENTITY between          "&#x0226C;" ><!--BETWEEN -->
<!ENTITY bigcap           "&#x022C2;" ><!--N-ARY INTERSECTION -->
<!ENTITY bigcirc          "&#x025EF;" ><!--LARGE CIRCLE -->
<!ENTITY bigcup           "&#x022C3;" ><!--N-ARY UNION -->
<!ENTITY bigodot          "&#x02A00;" ><!--N-ARY CIRCLED DOT OPERATOR -->
<!ENTITY bigoplus         "&#x02A01;" ><!--N-ARY CIRCLED PLUS OPERATOR -->
<!ENTITY bigotimes        "&#x02A02;" ><!--N-ARY CIRCLED TIMES OPERATOR -->
<!ENTITY bigsqcup         "&#x02A06;" ><!--N-ARY SQUARE UNION OPERATOR -->
<!ENTITY bigstar          "&#x02605;" ><!--BLACK STAR -->
<!ENTITY bigtriangledown  "&#x025BD;" ><!--WHITE DOWN-POINTING TRIANGLE -->
<!ENTITY bigtriangleup    "&#x025B3;" ><!--WHITE UP-POINTING TRIANGLE -->
<!ENTITY biguplus         "&#x02A04;" ><!--N-ARY UNION OPERATOR WITH PLUS -->
<!ENTITY bigvee           "&#x022C1;" ><!--N-ARY LOGICAL OR -->
<!ENTITY bigwedge         "&#x022C0;" ><!--N-ARY LOGICAL AND -->
<!ENTITY bkarow           "&#x0290D;" ><!--RIGHTWARDS DOUBLE DASH ARROW -->
<!ENTITY blacklozenge     "&#x029EB;" ><!--BLACK LOZENGE -->
<!ENTITY blacksquare      "&#x025AA;" ><!--BLACK SMALL SQUARE -->
<!ENTITY blacktriangle    "&#x025B4;" ><!--BLACK UP-POINTING SMALL TRIANGLE -->
<!ENTITY blacktriangledown "&#x025BE;" ><!--BLACK DOWN-POINTING SMALL TRIANGLE -->
<!ENTITY blacktriangleleft "&#x025C2;" ><!--BLACK LEFT-POINTING SMALL TRIANGLE -->
<!ENTITY blacktriangleright "&#x025B8;" ><!--BLACK RIGHT-POINTING SMALL TRIANGLE -->
<!ENTITY bot              "&#x022A5;" ><!--UP TACK -->
<!ENTITY boxminus         "&#x0229F;" ><!--SQUARED MINUS -->
<!ENTITY boxplus          "&#x0229E;" ><!--SQUARED PLUS -->
<!ENTITY boxtimes         "&#x022A0;" ><!--SQUARED TIMES -->
<!ENTITY Breve            "&#x002D8;" ><!--BREVE -->
<!ENTITY bullet           "&#x02022;" ><!--BULLET -->
<!ENTITY bumpeq           "&#x0224F;" ><!--DIFFERENCE BETWEEN -->
<!ENTITY Bumpeq           "&#x0224E;" ><!--GEOMETRICALLY EQUIVALENT TO -->
<!ENTITY CapitalDifferentialD "&#x02145;" ><!--DOUBLE-STRUCK ITALIC CAPITAL D -->
<!ENTITY Cayleys          "&#x0212D;" ><!--BLACK-LETTER CAPITAL C -->
<!ENTITY Cedilla          "&#x000B8;" ><!--CEDILLA -->
<!ENTITY centerdot        "&#x000B7;" ><!--MIDDLE DOT -->
<!ENTITY CenterDot        "&#x000B7;" ><!--MIDDLE DOT -->
<!ENTITY checkmark        "&#x02713;" ><!--CHECK MARK -->
<!ENTITY circeq           "&#x02257;" ><!--RING EQUAL TO -->
<!ENTITY circlearrowleft  "&#x021BA;" ><!--ANTICLOCKWISE OPEN CIRCLE ARROW -->
<!ENTITY circlearrowright "&#x021BB;" ><!--CLOCKWISE OPEN CIRCLE ARROW -->
<!ENTITY circledast       "&#x0229B;" ><!--CIRCLED ASTERISK OPERATOR -->
<!ENTITY circledcirc      "&#x0229A;" ><!--CIRCLED RING OPERATOR -->
<!ENTITY circleddash      "&#x0229D;" ><!--CIRCLED DASH -->
<!ENTITY CircleDot        "&#x02299;" ><!--CIRCLED DOT OPERATOR -->
<!ENTITY circledR         "&#x000AE;" ><!--REGISTERED SIGN -->
<!ENTITY circledS         "&#x024C8;" ><!--CIRCLED LATIN CAPITAL LETTER S -->
<!ENTITY CircleMinus      "&#x02296;" ><!--CIRCLED MINUS -->
<!ENTITY CirclePlus       "&#x02295;" ><!--CIRCLED PLUS -->
<!ENTITY CircleTimes      "&#x02297;" ><!--CIRCLED TIMES -->
<!ENTITY ClockwiseContourIntegral "&#x02232;" ><!--CLOCKWISE CONTOUR INTEGRAL -->
<!ENTITY CloseCurlyDoubleQuote "&#x0201D;" ><!--RIGHT DOUBLE QUOTATION MARK -->
<!ENTITY CloseCurlyQuote  "&#x02019;" ><!--RIGHT SINGLE QUOTATION MARK -->
<!ENTITY clubsuit         "&#x02663;" ><!--BLACK CLUB SUIT -->
<!ENTITY coloneq          "&#x02254;" ><!--COLON EQUALS -->
<!ENTITY complement       "&#x02201;" ><!--COMPLEMENT -->
<!ENTITY complexes        "&#x02102;" ><!--DOUBLE-STRUCK CAPITAL C -->
<!ENTITY Congruent        "&#x02261;" ><!--IDENTICAL TO -->
<!ENTITY ContourIntegral  "&#x0222E;" ><!--CONTOUR INTEGRAL -->
<!ENTITY Coproduct        "&#x02210;" ><!--N-ARY COPRODUCT -->
<!ENTITY CounterClockwiseContourIntegral "&#x02233;" ><!--ANTICLOCKWISE CONTOUR INTEGRAL -->
<!ENTITY CupCap           "&#x0224D;" ><!--EQUIVALENT TO -->
<!ENTITY curlyeqprec      "&#x022DE;" ><!--EQUAL TO OR PRECEDES -->
<!ENTITY curlyeqsucc      "&#x022DF;" ><!--EQUAL TO OR SUCCEEDS -->
<!ENTITY curlyvee         "&#x022CE;" ><!--CURLY LOGICAL OR -->
<!ENTITY curlywedge       "&#x022CF;" ><!--CURLY LOGICAL AND -->
<!ENTITY curvearrowleft   "&#x021B6;" ><!--ANTICLOCKWISE TOP SEMICIRCLE ARROW -->
<!ENTITY curvearrowright  "&#x021B7;" ><!--CLOCKWISE TOP SEMICIRCLE ARROW -->
<!ENTITY dbkarow          "&#x0290F;" ><!--RIGHTWARDS TRIPLE DASH ARROW -->
<!ENTITY ddagger          "&#x02021;" ><!--DOUBLE DAGGER -->
<!ENTITY ddotseq          "&#x02A77;" ><!--EQUALS SIGN WITH TWO DOTS ABOVE AND TWO DOTS BELOW -->
<!ENTITY Del              "&#x02207;" ><!--NABLA -->
<!ENTITY DiacriticalAcute "&#x000B4;" ><!--ACUTE ACCENT -->
<!ENTITY DiacriticalDot   "&#x002D9;" ><!--DOT ABOVE -->
<!ENTITY DiacriticalDoubleAcute "&#x002DD;" ><!--DOUBLE ACUTE ACCENT -->
<!ENTITY DiacriticalGrave "&#x00060;" ><!--GRAVE ACCENT -->
<!ENTITY DiacriticalTilde "&#x002DC;" ><!--SMALL TILDE -->
<!ENTITY diamond          "&#x022C4;" ><!--DIAMOND OPERATOR -->
<!ENTITY Diamond          "&#x022C4;" ><!--DIAMOND OPERATOR -->
<!ENTITY diamondsuit      "&#x02666;" ><!--BLACK DIAMOND SUIT -->
<!ENTITY DifferentialD    "&#x02146;" ><!--DOUBLE-STRUCK ITALIC SMALL D -->
<!ENTITY digamma          "&#x003DD;" ><!--GREEK SMALL LETTER DIGAMMA -->
<!ENTITY div              "&#x000F7;" ><!--DIVISION SIGN -->
<!ENTITY divideontimes    "&#x022C7;" ><!--DIVISION TIMES -->
<!ENTITY doteq            "&#x02250;" ><!--APPROACHES THE LIMIT -->
<!ENTITY doteqdot         "&#x02251;" ><!--GEOMETRICALLY EQUAL TO -->
<!ENTITY DotEqual         "&#x02250;" ><!--APPROACHES THE LIMIT -->
<!ENTITY dotminus         "&#x02238;" ><!--DOT MINUS -->
<!ENTITY dotplus          "&#x02214;" ><!--DOT PLUS -->
<!ENTITY dotsquare        "&#x022A1;" ><!--SQUARED DOT OPERATOR -->
<!ENTITY doublebarwedge   "&#x02306;" ><!--PERSPECTIVE -->
<!ENTITY DoubleContourIntegral "&#x0222F;" ><!--SURFACE INTEGRAL -->
<!ENTITY DoubleDot        "&#x000A8;" ><!--DIAERESIS -->
<!ENTITY DoubleDownArrow  "&#x021D3;" ><!--DOWNWARDS DOUBLE ARROW -->
<!ENTITY DoubleLeftArrow  "&#x021D0;" ><!--LEFTWARDS DOUBLE ARROW -->
<!ENTITY DoubleLeftRightArrow "&#x021D4;" ><!--LEFT RIGHT DOUBLE ARROW -->
<!ENTITY DoubleLeftTee    "&#x02AE4;" ><!--VERTICAL BAR DOUBLE LEFT TURNSTILE -->
<!ENTITY DoubleLongLeftArrow "&#x027F8;" ><!--LONG LEFTWARDS DOUBLE ARROW -->
<!ENTITY DoubleLongLeftRightArrow "&#x027FA;" ><!--LONG LEFT RIGHT DOUBLE ARROW -->
<!ENTITY DoubleLongRightArrow "&#x027F9;" ><!--LONG RIGHTWARDS DOUBLE ARROW -->
<!ENTITY DoubleRightArrow "&#x021D2;" ><!--RIGHTWARDS DOUBLE ARROW -->
<!ENTITY DoubleRightTee   "&#x022A8;" ><!--TRUE -->
<!ENTITY DoubleUpArrow    "&#x021D1;" ><!--UPWARDS DOUBLE ARROW -->
<!ENTITY DoubleUpDownArrow "&#x021D5;" ><!--UP DOWN DOUBLE ARROW -->
<!ENTITY DoubleVerticalBar "&#x02225;" ><!--PARALLEL TO -->
<!ENTITY downarrow        "&#x02193;" ><!--DOWNWARDS ARROW -->
<!ENTITY Downarrow        "&#x021D3;" ><!--DOWNWARDS DOUBLE ARROW -->
<!ENTITY DownArrow        "&#x02193;" ><!--DOWNWARDS ARROW -->
<!ENTITY DownArrowUpArrow "&#x021F5;" ><!--DOWNWARDS ARROW LEFTWARDS OF UPWARDS ARROW -->
<!ENTITY downdownarrows   "&#x021CA;" ><!--DOWNWARDS PAIRED ARROWS -->
<!ENTITY downharpoonleft  "&#x021C3;" ><!--DOWNWARDS HARPOON WITH BARB LEFTWARDS -->
<!ENTITY downharpoonright "&#x021C2;" ><!--DOWNWARDS HARPOON WITH BARB RIGHTWARDS -->
<!ENTITY DownLeftVector   "&#x021BD;" ><!--LEFTWARDS HARPOON WITH BARB DOWNWARDS -->
<!ENTITY DownRightVector  "&#x021C1;" ><!--RIGHTWARDS HARPOON WITH BARB DOWNWARDS -->
<!ENTITY DownTee          "&#x022A4;" ><!--DOWN TACK -->
<!ENTITY DownTeeArrow     "&#x021A7;" ><!--DOWNWARDS ARROW FROM BAR -->
<!ENTITY drbkarow         "&#x02910;" ><!--RIGHTWARDS TWO-HEADED TRIPLE DASH ARROW -->
<!ENTITY Element          "&#x02208;" ><!--ELEMENT OF -->
<!ENTITY emptyset         "&#x02205;" ><!--EMPTY SET -->
<!ENTITY eqcirc           "&#x02256;" ><!--RING IN EQUAL TO -->
<!ENTITY eqcolon          "&#x02255;" ><!--EQUALS COLON -->
<!ENTITY eqsim            "&#x02242;" ><!--MINUS TILDE -->
<!ENTITY eqslantgtr       "&#x02A96;" ><!--SLANTED EQUAL TO OR GREATER-THAN -->
<!ENTITY eqslantless      "&#x02A95;" ><!--SLANTED EQUAL TO OR LESS-THAN -->
<!ENTITY EqualTilde       "&#x02242;" ><!--MINUS TILDE -->
<!ENTITY Equilibrium      "&#x021CC;" ><!--RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON -->
<!ENTITY Exists           "&#x02203;" ><!--THERE EXISTS -->
<!ENTITY expectation      "&#x02130;" ><!--SCRIPT CAPITAL E -->
<!ENTITY exponentiale     "&#x02147;" ><!--DOUBLE-STRUCK ITALIC SMALL E -->
<!ENTITY ExponentialE     "&#x02147;" ><!--DOUBLE-STRUCK ITALIC SMALL E -->
<!ENTITY fallingdotseq    "&#x02252;" ><!--APPROXIMATELY EQUAL TO OR THE IMAGE OF -->
<!ENTITY ForAll           "&#x02200;" ><!--FOR ALL -->
<!ENTITY Fouriertrf       "&#x02131;" ><!--SCRIPT CAPITAL F -->
<!ENTITY geq              "&#x02265;" ><!--GREATER-THAN OR EQUAL TO -->
<!ENTITY geqq             "&#x02267;" ><!--GREATER-THAN OVER EQUAL TO -->
<!ENTITY geqslant         "&#x02A7E;" ><!--GREATER-THAN OR SLANTED EQUAL TO -->
<!ENTITY gg               "&#x0226B;" ><!--MUCH GREATER-THAN -->
<!ENTITY ggg              "&#x022D9;" ><!--VERY MUCH GREATER-THAN -->
<!ENTITY gnapprox         "&#x02A8A;" ><!--GREATER-THAN AND NOT APPROXIMATE -->
<!ENTITY gneq             "&#x02A88;" ><!--GREATER-THAN AND SINGLE-LINE NOT EQUAL TO -->
<!ENTITY gneqq            "&#x02269;" ><!--GREATER-THAN BUT NOT EQUAL TO -->
<!ENTITY GreaterEqual     "&#x02265;" ><!--GREATER-THAN OR EQUAL TO -->
<!ENTITY GreaterEqualLess "&#x022DB;" ><!--GREATER-THAN EQUAL TO OR LESS-THAN -->
<!ENTITY GreaterFullEqual "&#x02267;" ><!--GREATER-THAN OVER EQUAL TO -->
<!ENTITY GreaterLess      "&#x02277;" ><!--GREATER-THAN OR LESS-THAN -->
<!ENTITY GreaterSlantEqual "&#x02A7E;" ><!--GREATER-THAN OR SLANTED EQUAL TO -->
<!ENTITY GreaterTilde     "&#x02273;" ><!--GREATER-THAN OR EQUIVALENT TO -->
<!ENTITY gtrapprox        "&#x02A86;" ><!--GREATER-THAN OR APPROXIMATE -->
<!ENTITY gtrdot           "&#x022D7;" ><!--GREATER-THAN WITH DOT -->
<!ENTITY gtreqless        "&#x022DB;" ><!--GREATER-THAN EQUAL TO OR LESS-THAN -->
<!ENTITY gtreqqless       "&#x02A8C;" ><!--GREATER-THAN ABOVE DOUBLE-LINE EQUAL ABOVE LESS-THAN -->
<!ENTITY gtrless          "&#x02277;" ><!--GREATER-THAN OR LESS-THAN -->
<!ENTITY gtrsim           "&#x02273;" ><!--GREATER-THAN OR EQUIVALENT TO -->
<!ENTITY gvertneqq        "&#x02269;&#x0FE00;" ><!--GREATER-THAN BUT NOT EQUAL TO - with vertical stroke -->
<!ENTITY Hacek            "&#x002C7;" ><!--CARON -->
<!ENTITY hbar             "&#x0210F;" ><!--PLANCK CONSTANT OVER TWO PI -->
<!ENTITY heartsuit        "&#x02665;" ><!--BLACK HEART SUIT -->
<!ENTITY HilbertSpace     "&#x0210B;" ><!--SCRIPT CAPITAL H -->
<!ENTITY hksearow         "&#x02925;" ><!--SOUTH EAST ARROW WITH HOOK -->
<!ENTITY hkswarow         "&#x02926;" ><!--SOUTH WEST ARROW WITH HOOK -->
<!ENTITY hookleftarrow    "&#x021A9;" ><!--LEFTWARDS ARROW WITH HOOK -->
<!ENTITY hookrightarrow   "&#x021AA;" ><!--RIGHTWARDS ARROW WITH HOOK -->
<!ENTITY hslash           "&#x0210F;" ><!--PLANCK CONSTANT OVER TWO PI -->
<!ENTITY HumpDownHump     "&#x0224E;" ><!--GEOMETRICALLY EQUIVALENT TO -->
<!ENTITY HumpEqual        "&#x0224F;" ><!--DIFFERENCE BETWEEN -->
<!ENTITY iiiint           "&#x02A0C;" ><!--QUADRUPLE INTEGRAL OPERATOR -->
<!ENTITY iiint            "&#x0222D;" ><!--TRIPLE INTEGRAL -->
<!ENTITY Im               "&#x02111;" ><!--BLACK-LETTER CAPITAL I -->
<!ENTITY ImaginaryI       "&#x02148;" ><!--DOUBLE-STRUCK ITALIC SMALL I -->
<!ENTITY imagline         "&#x02110;" ><!--SCRIPT CAPITAL I -->
<!ENTITY imagpart         "&#x02111;" ><!--BLACK-LETTER CAPITAL I -->
<!ENTITY Implies          "&#x021D2;" ><!--RIGHTWARDS DOUBLE ARROW -->
<!ENTITY in               "&#x02208;" ><!--ELEMENT OF -->
<!ENTITY integers         "&#x02124;" ><!--DOUBLE-STRUCK CAPITAL Z -->
<!ENTITY Integral         "&#x0222B;" ><!--INTEGRAL -->
<!ENTITY intercal         "&#x022BA;" ><!--INTERCALATE -->
<!ENTITY Intersection     "&#x022C2;" ><!--N-ARY INTERSECTION -->
<!ENTITY intprod          "&#x02A3C;" ><!--INTERIOR PRODUCT -->
<!ENTITY InvisibleComma   "&#x02063;" ><!--INVISIBLE SEPARATOR -->
<!ENTITY InvisibleTimes   "&#x02062;" ><!--INVISIBLE TIMES -->
<!ENTITY langle           "&#x027E8;" ><!--MATHEMATICAL LEFT ANGLE BRACKET -->
<!ENTITY Laplacetrf       "&#x02112;" ><!--SCRIPT CAPITAL L -->
<!ENTITY lbrace           "&#x0007B;" ><!--LEFT CURLY BRACKET -->
<!ENTITY lbrack           "&#x0005B;" ><!--LEFT SQUARE BRACKET -->
<!ENTITY LeftAngleBracket "&#x027E8;" ><!--MATHEMATICAL LEFT ANGLE BRACKET -->
<!ENTITY leftarrow        "&#x02190;" ><!--LEFTWARDS ARROW -->
<!ENTITY Leftarrow        "&#x021D0;" ><!--LEFTWARDS DOUBLE ARROW -->
<!ENTITY LeftArrow        "&#x02190;" ><!--LEFTWARDS ARROW -->
<!ENTITY LeftArrowBar     "&#x021E4;" ><!--LEFTWARDS ARROW TO BAR -->
<!ENTITY LeftArrowRightArrow "&#x021C6;" ><!--LEFTWARDS ARROW OVER RIGHTWARDS ARROW -->
<!ENTITY leftarrowtail    "&#x021A2;" ><!--LEFTWARDS ARROW WITH TAIL -->
<!ENTITY LeftCeiling      "&#x02308;" ><!--LEFT CEILING -->
<!ENTITY LeftDoubleBracket "&#x027E6;" ><!--MATHEMATICAL LEFT WHITE SQUARE BRACKET -->
<!ENTITY LeftDownVector   "&#x021C3;" ><!--DOWNWARDS HARPOON WITH BARB LEFTWARDS -->
<!ENTITY LeftFloor        "&#x0230A;" ><!--LEFT FLOOR -->
<!ENTITY leftharpoondown  "&#x021BD;" ><!--LEFTWARDS HARPOON WITH BARB DOWNWARDS -->
<!ENTITY leftharpoonup    "&#x021BC;" ><!--LEFTWARDS HARPOON WITH BARB UPWARDS -->
<!ENTITY leftleftarrows   "&#x021C7;" ><!--LEFTWARDS PAIRED ARROWS -->
<!ENTITY leftrightarrow   "&#x02194;" ><!--LEFT RIGHT ARROW -->
<!ENTITY Leftrightarrow   "&#x021D4;" ><!--LEFT RIGHT DOUBLE ARROW -->
<!ENTITY LeftRightArrow   "&#x02194;" ><!--LEFT RIGHT ARROW -->
<!ENTITY leftrightarrows  "&#x021C6;" ><!--LEFTWARDS ARROW OVER RIGHTWARDS ARROW -->
<!ENTITY leftrightharpoons "&#x021CB;" ><!--LEFTWARDS HARPOON OVER RIGHTWARDS HARPOON -->
<!ENTITY leftrightsquigarrow "&#x021AD;" ><!--LEFT RIGHT WAVE ARROW -->
<!ENTITY LeftTee          "&#x022A3;" ><!--LEFT TACK -->
<!ENTITY LeftTeeArrow     "&#x021A4;" ><!--LEFTWARDS ARROW FROM BAR -->
<!ENTITY leftthreetimes   "&#x022CB;" ><!--LEFT SEMIDIRECT PRODUCT -->
<!ENTITY LeftTriangle     "&#x022B2;" ><!--NORMAL SUBGROUP OF -->
<!ENTITY LeftTriangleEqual "&#x022B4;" ><!--NORMAL SUBGROUP OF OR EQUAL TO -->
<!ENTITY LeftUpVector     "&#x021BF;" ><!--UPWARDS HARPOON WITH BARB LEFTWARDS -->
<!ENTITY LeftVector       "&#x021BC;" ><!--LEFTWARDS HARPOON WITH BARB UPWARDS -->
<!ENTITY leq              "&#x02264;" ><!--LESS-THAN OR EQUAL TO -->
<!ENTITY leqq             "&#x02266;" ><!--LESS-THAN OVER EQUAL TO -->
<!ENTITY leqslant         "&#x02A7D;" ><!--LESS-THAN OR SLANTED EQUAL TO -->
<!ENTITY lessapprox       "&#x02A85;" ><!--LESS-THAN OR APPROXIMATE -->
<!ENTITY lessdot          "&#x022D6;" ><!--LESS-THAN WITH DOT -->
<!ENTITY lesseqgtr        "&#x022DA;" ><!--LESS-THAN EQUAL TO OR GREATER-THAN -->
<!ENTITY lesseqqgtr       "&#x02A8B;" ><!--LESS-THAN ABOVE DOUBLE-LINE EQUAL ABOVE GREATER-THAN -->
<!ENTITY LessEqualGreater "&#x022DA;" ><!--LESS-THAN EQUAL TO OR GREATER-THAN -->
<!ENTITY LessFullEqual    "&#x02266;" ><!--LESS-THAN OVER EQUAL TO -->
<!ENTITY LessGreater      "&#x02276;" ><!--LESS-THAN OR GREATER-THAN -->
<!ENTITY lessgtr          "&#x02276;" ><!--LESS-THAN OR GREATER-THAN -->
<!ENTITY lesssim          "&#x02272;" ><!--LESS-THAN OR EQUIVALENT TO -->
<!ENTITY LessSlantEqual   "&#x02A7D;" ><!--LESS-THAN OR SLANTED EQUAL TO -->
<!ENTITY LessTilde        "&#x02272;" ><!--LESS-THAN OR EQUIVALENT TO -->
<!ENTITY ll               "&#x0226A;" ><!--MUCH LESS-THAN -->
<!ENTITY llcorner         "&#x0231E;" ><!--BOTTOM LEFT CORNER -->
<!ENTITY Lleftarrow       "&#x021DA;" ><!--LEFTWARDS TRIPLE ARROW -->
<!ENTITY lmoustache       "&#x023B0;" ><!--UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION -->
<!ENTITY lnapprox         "&#x02A89;" ><!--LESS-THAN AND NOT APPROXIMATE -->
<!ENTITY lneq             "&#x02A87;" ><!--LESS-THAN AND SINGLE-LINE NOT EQUAL TO -->
<!ENTITY lneqq            "&#x02268;" ><!--LESS-THAN BUT NOT EQUAL TO -->
<!ENTITY longleftarrow    "&#x027F5;" ><!--LONG LEFTWARDS ARROW -->
<!ENTITY Longleftarrow    "&#x027F8;" ><!--LONG LEFTWARDS DOUBLE ARROW -->
<!ENTITY LongLeftArrow    "&#x027F5;" ><!--LONG LEFTWARDS ARROW -->
<!ENTITY longleftrightarrow "&#x027F7;" ><!--LONG LEFT RIGHT ARROW -->
<!ENTITY Longleftrightarrow "&#x027FA;" ><!--LONG LEFT RIGHT DOUBLE ARROW -->
<!ENTITY LongLeftRightArrow "&#x027F7;" ><!--LONG LEFT RIGHT ARROW -->
<!ENTITY longmapsto       "&#x027FC;" ><!--LONG RIGHTWARDS ARROW FROM BAR -->
<!ENTITY longrightarrow   "&#x027F6;" ><!--LONG RIGHTWARDS ARROW -->
<!ENTITY Longrightarrow   "&#x027F9;" ><!--LONG RIGHTWARDS DOUBLE ARROW -->
<!ENTITY LongRightArrow   "&#x027F6;" ><!--LONG RIGHTWARDS ARROW -->
<!ENTITY looparrowleft    "&#x021AB;" ><!--LEFTWARDS ARROW WITH LOOP -->
<!ENTITY looparrowright   "&#x021AC;" ><!--RIGHTWARDS ARROW WITH LOOP -->
<!ENTITY LowerLeftArrow   "&#x02199;" ><!--SOUTH WEST ARROW -->
<!ENTITY LowerRightArrow  "&#x02198;" ><!--SOUTH EAST ARROW -->
<!ENTITY lozenge          "&#x025CA;" ><!--LOZENGE -->
<!ENTITY lrcorner         "&#x0231F;" ><!--BOTTOM RIGHT CORNER -->
<!ENTITY Lsh              "&#x021B0;" ><!--UPWARDS ARROW WITH TIP LEFTWARDS -->
<!ENTITY lvertneqq        "&#x02268;&#x0FE00;" ><!--LESS-THAN BUT NOT EQUAL TO - with vertical stroke -->
<!ENTITY maltese          "&#x02720;" ><!--MALTESE CROSS -->
<!ENTITY mapsto           "&#x021A6;" ><!--RIGHTWARDS ARROW FROM BAR -->
<!ENTITY measuredangle    "&#x02221;" ><!--MEASURED ANGLE -->
<!ENTITY Mellintrf        "&#x02133;" ><!--SCRIPT CAPITAL M -->
<!ENTITY MinusPlus        "&#x02213;" ><!--MINUS-OR-PLUS SIGN -->
<!ENTITY mp               "&#x02213;" ><!--MINUS-OR-PLUS SIGN -->
<!ENTITY multimap         "&#x022B8;" ><!--MULTIMAP -->
<!ENTITY napprox          "&#x02249;" ><!--NOT ALMOST EQUAL TO -->
<!ENTITY natural          "&#x0266E;" ><!--MUSIC NATURAL SIGN -->
<!ENTITY naturals         "&#x02115;" ><!--DOUBLE-STRUCK CAPITAL N -->
<!ENTITY nearrow          "&#x02197;" ><!--NORTH EAST ARROW -->
<!ENTITY NegativeMediumSpace "&#x0200B;" ><!--ZERO WIDTH SPACE -->
<!ENTITY NegativeThickSpace "&#x0200B;" ><!--ZERO WIDTH SPACE -->
<!ENTITY NegativeThinSpace "&#x0200B;" ><!--ZERO WIDTH SPACE -->
<!ENTITY NegativeVeryThinSpace "&#x0200B;" ><!--ZERO WIDTH SPACE -->
<!ENTITY NestedGreaterGreater "&#x0226B;" ><!--MUCH GREATER-THAN -->
<!ENTITY NestedLessLess   "&#x0226A;" ><!--MUCH LESS-THAN -->
<!ENTITY nexists          "&#x02204;" ><!--THERE DOES NOT EXIST -->
<!ENTITY ngeq             "&#x02271;" ><!--NEITHER GREATER-THAN NOR EQUAL TO -->
<!ENTITY ngeqq            "&#x02267;&#x00338;" ><!--GREATER-THAN OVER EQUAL TO with slash -->
<!ENTITY ngeqslant        "&#x02A7E;&#x00338;" ><!--GREATER-THAN OR SLANTED EQUAL TO with slash -->
<!ENTITY ngtr             "&#x0226F;" ><!--NOT GREATER-THAN -->
<!ENTITY nleftarrow       "&#x0219A;" ><!--LEFTWARDS ARROW WITH STROKE -->
<!ENTITY nLeftarrow       "&#x021CD;" ><!--LEFTWARDS DOUBLE ARROW WITH STROKE -->
<!ENTITY nleftrightarrow  "&#x021AE;" ><!--LEFT RIGHT ARROW WITH STROKE -->
<!ENTITY nLeftrightarrow  "&#x021CE;" ><!--LEFT RIGHT DOUBLE ARROW WITH STROKE -->
<!ENTITY nleq             "&#x02270;" ><!--NEITHER LESS-THAN NOR EQUAL TO -->
<!ENTITY nleqq            "&#x02266;&#x00338;" ><!--LESS-THAN OVER EQUAL TO with slash -->
<!ENTITY nleqslant        "&#x02A7D;&#x00338;" ><!--LESS-THAN OR SLANTED EQUAL TO with slash -->
<!ENTITY nless            "&#x0226E;" ><!--NOT LESS-THAN -->
<!ENTITY NonBreakingSpace "&#x000A0;" ><!--NO-BREAK SPACE -->
<!ENTITY NotCongruent     "&#x02262;" ><!--NOT IDENTICAL TO -->
<!ENTITY NotDoubleVerticalBar "&#x02226;" ><!--NOT PARALLEL TO -->
<!ENTITY NotElement       "&#x02209;" ><!--NOT AN ELEMENT OF -->
<!ENTITY NotEqual         "&#x02260;" ><!--NOT EQUAL TO -->
<!ENTITY NotEqualTilde    "&#x02242;&#x00338;" ><!--MINUS TILDE with slash -->
<!ENTITY NotExists        "&#x02204;" ><!--THERE DOES NOT EXIST -->
<!ENTITY NotGreater       "&#x0226F;" ><!--NOT GREATER-THAN -->
<!ENTITY NotGreaterEqual  "&#x02271;" ><!--NEITHER GREATER-THAN NOR EQUAL TO -->
<!ENTITY NotGreaterFullEqual "&#x02267;&#x00338;" ><!--GREATER-THAN OVER EQUAL TO with slash -->
<!ENTITY NotGreaterGreater "&#x0226B;&#x00338;" ><!--MUCH GREATER THAN with slash -->
<!ENTITY NotGreaterLess   "&#x02279;" ><!--NEITHER GREATER-THAN NOR LESS-THAN -->
<!ENTITY NotGreaterSlantEqual "&#x02A7E;&#x00338;" ><!--GREATER-THAN OR SLANTED EQUAL TO with slash -->
<!ENTITY NotGreaterTilde  "&#x02275;" ><!--NEITHER GREATER-THAN NOR EQUIVALENT TO -->
<!ENTITY NotHumpDownHump  "&#x0224E;&#x00338;" ><!--GEOMETRICALLY EQUIVALENT TO with slash -->
<!ENTITY NotLeftTriangle  "&#x022EA;" ><!--NOT NORMAL SUBGROUP OF -->
<!ENTITY NotLeftTriangleEqual "&#x022EC;" ><!--NOT NORMAL SUBGROUP OF OR EQUAL TO -->
<!ENTITY NotLess          "&#x0226E;" ><!--NOT LESS-THAN -->
<!ENTITY NotLessEqual     "&#x02270;" ><!--NEITHER LESS-THAN NOR EQUAL TO -->
<!ENTITY NotLessGreater   "&#x02278;" ><!--NEITHER LESS-THAN NOR GREATER-THAN -->
<!ENTITY NotLessLess      "&#x0226A;&#x00338;" ><!--MUCH LESS THAN with slash -->
<!ENTITY NotLessSlantEqual "&#x02A7D;&#x00338;" ><!--LESS-THAN OR SLANTED EQUAL TO with slash -->
<!ENTITY NotLessTilde     "&#x02274;" ><!--NEITHER LESS-THAN NOR EQUIVALENT TO -->
<!ENTITY NotPrecedes      "&#x02280;" ><!--DOES NOT PRECEDE -->
<!ENTITY NotPrecedesEqual "&#x02AAF;&#x00338;" ><!--PRECEDES ABOVE SINGLE-LINE EQUALS SIGN with slash -->
<!ENTITY NotPrecedesSlantEqual "&#x022E0;" ><!--DOES NOT PRECEDE OR EQUAL -->
<!ENTITY NotReverseElement "&#x0220C;" ><!--DOES NOT CONTAIN AS MEMBER -->
<!ENTITY NotRightTriangle "&#x022EB;" ><!--DOES NOT CONTAIN AS NORMAL SUBGROUP -->
<!ENTITY NotRightTriangleEqual "&#x022ED;" ><!--DOES NOT CONTAIN AS NORMAL SUBGROUP OR EQUAL -->
<!ENTITY NotSquareSubsetEqual "&#x022E2;" ><!--NOT SQUARE IMAGE OF OR EQUAL TO -->
<!ENTITY NotSquareSupersetEqual "&#x022E3;" ><!--NOT SQUARE ORIGINAL OF OR EQUAL TO -->
<!ENTITY NotSubset        "&#x02282;&#x020D2;" ><!--SUBSET OF with vertical line -->
<!ENTITY NotSubsetEqual   "&#x02288;" ><!--NEITHER A SUBSET OF NOR EQUAL TO -->
<!ENTITY NotSucceeds      "&#x02281;" ><!--DOES NOT SUCCEED -->
<!ENTITY NotSucceedsEqual "&#x02AB0;&#x00338;" ><!--SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN with slash -->
<!ENTITY NotSucceedsSlantEqual "&#x022E1;" ><!--DOES NOT SUCCEED OR EQUAL -->
<!ENTITY NotSuperset      "&#x02283;&#x020D2;" ><!--SUPERSET OF with vertical line -->
<!ENTITY NotSupersetEqual "&#x02289;" ><!--NEITHER A SUPERSET OF NOR EQUAL TO -->
<!ENTITY NotTilde         "&#x02241;" ><!--NOT TILDE -->
<!ENTITY NotTildeEqual    "&#x02244;" ><!--NOT ASYMPTOTICALLY EQUAL TO -->
<!ENTITY NotTildeFullEqual "&#x02247;" ><!--NEITHER APPROXIMATELY NOR ACTUALLY EQUAL TO -->
<!ENTITY NotTildeTilde    "&#x02249;" ><!--NOT ALMOST EQUAL TO -->
<!ENTITY NotVerticalBar   "&#x02224;" ><!--DOES NOT DIVIDE -->
<!ENTITY nparallel        "&#x02226;" ><!--NOT PARALLEL TO -->
<!ENTITY nprec            "&#x02280;" ><!--DOES NOT PRECEDE -->
<!ENTITY npreceq          "&#x02AAF;&#x00338;" ><!--PRECEDES ABOVE SINGLE-LINE EQUALS SIGN with slash -->
<!ENTITY nrightarrow      "&#x0219B;" ><!--RIGHTWARDS ARROW WITH STROKE -->
<!ENTITY nRightarrow      "&#x021CF;" ><!--RIGHTWARDS DOUBLE ARROW WITH STROKE -->
<!ENTITY nshortmid        "&#x02224;" ><!--DOES NOT DIVIDE -->
<!ENTITY nshortparallel   "&#x02226;" ><!--NOT PARALLEL TO -->
<!ENTITY nsimeq           "&#x02244;" ><!--NOT ASYMPTOTICALLY EQUAL TO -->
<!ENTITY nsubset          "&#x02282;&#x020D2;" ><!--SUBSET OF with vertical line -->
<!ENTITY nsubseteq        "&#x02288;" ><!--NEITHER A SUBSET OF NOR EQUAL TO -->
<!ENTITY nsubseteqq       "&#x02AC5;&#x00338;" ><!--SUBSET OF ABOVE EQUALS SIGN with slash -->
<!ENTITY nsucc            "&#x02281;" ><!--DOES NOT SUCCEED -->
<!ENTITY nsucceq          "&#x02AB0;&#x00338;" ><!--SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN with slash -->
<!ENTITY nsupset          "&#x02283;&#x020D2;" ><!--SUPERSET OF with vertical line -->
<!ENTITY nsupseteq        "&#x02289;" ><!--NEITHER A SUPERSET OF NOR EQUAL TO -->
<!ENTITY nsupseteqq       "&#x02AC6;&#x00338;" ><!--SUPERSET OF ABOVE EQUALS SIGN with slash -->
<!ENTITY ntriangleleft    "&#x022EA;" ><!--NOT NORMAL SUBGROUP OF -->
<!ENTITY ntrianglelefteq  "&#x022EC;" ><!--NOT NORMAL SUBGROUP OF OR EQUAL TO -->
<!ENTITY ntriangleright   "&#x022EB;" ><!--DOES NOT CONTAIN AS NORMAL SUBGROUP -->
<!ENTITY ntrianglerighteq "&#x022ED;" ><!--DOES NOT CONTAIN AS NORMAL SUBGROUP OR EQUAL -->
<!ENTITY nwarrow          "&#x02196;" ><!--NORTH WEST ARROW -->
<!ENTITY oint             "&#x0222E;" ><!--CONTOUR INTEGRAL -->
<!ENTITY OpenCurlyDoubleQuote "&#x0201C;" ><!--LEFT DOUBLE QUOTATION MARK -->
<!ENTITY OpenCurlyQuote   "&#x02018;" ><!--LEFT SINGLE QUOTATION MARK -->
<!ENTITY orderof          "&#x02134;" ><!--SCRIPT SMALL O -->
<!ENTITY parallel         "&#x02225;" ><!--PARALLEL TO -->
<!ENTITY PartialD         "&#x02202;" ><!--PARTIAL DIFFERENTIAL -->
<!ENTITY pitchfork        "&#x022D4;" ><!--PITCHFORK -->
<!ENTITY PlusMinus        "&#x000B1;" ><!--PLUS-MINUS SIGN -->
<!ENTITY pm               "&#x000B1;" ><!--PLUS-MINUS SIGN -->
<!ENTITY Poincareplane    "&#x0210C;" ><!--BLACK-LETTER CAPITAL H -->
<!ENTITY prec             "&#x0227A;" ><!--PRECEDES -->
<!ENTITY precapprox       "&#x02AB7;" ><!--PRECEDES ABOVE ALMOST EQUAL TO -->
<!ENTITY preccurlyeq      "&#x0227C;" ><!--PRECEDES OR EQUAL TO -->
<!ENTITY Precedes         "&#x0227A;" ><!--PRECEDES -->
<!ENTITY PrecedesEqual    "&#x02AAF;" ><!--PRECEDES ABOVE SINGLE-LINE EQUALS SIGN -->
<!ENTITY PrecedesSlantEqual "&#x0227C;" ><!--PRECEDES OR EQUAL TO -->
<!ENTITY PrecedesTilde    "&#x0227E;" ><!--PRECEDES OR EQUIVALENT TO -->
<!ENTITY preceq           "&#x02AAF;" ><!--PRECEDES ABOVE SINGLE-LINE EQUALS SIGN -->
<!ENTITY precnapprox      "&#x02AB9;" ><!--PRECEDES ABOVE NOT ALMOST EQUAL TO -->
<!ENTITY precneqq         "&#x02AB5;" ><!--PRECEDES ABOVE NOT EQUAL TO -->
<!ENTITY precnsim         "&#x022E8;" ><!--PRECEDES BUT NOT EQUIVALENT TO -->
<!ENTITY precsim          "&#x0227E;" ><!--PRECEDES OR EQUIVALENT TO -->
<!ENTITY primes           "&#x02119;" ><!--DOUBLE-STRUCK CAPITAL P -->
<!ENTITY Proportion       "&#x02237;" ><!--PROPORTION -->
<!ENTITY Proportional     "&#x0221D;" ><!--PROPORTIONAL TO -->
<!ENTITY propto           "&#x0221D;" ><!--PROPORTIONAL TO -->
<!ENTITY quaternions      "&#x0210D;" ><!--DOUBLE-STRUCK CAPITAL H -->
<!ENTITY questeq          "&#x0225F;" ><!--QUESTIONED EQUAL TO -->
<!ENTITY rangle           "&#x027E9;" ><!--MATHEMATICAL RIGHT ANGLE BRACKET -->
<!ENTITY rationals        "&#x0211A;" ><!--DOUBLE-STRUCK CAPITAL Q -->
<!ENTITY rbrace           "&#x0007D;" ><!--RIGHT CURLY BRACKET -->
<!ENTITY rbrack           "&#x0005D;" ><!--RIGHT SQUARE BRACKET -->
<!ENTITY Re               "&#x0211C;" ><!--BLACK-LETTER CAPITAL R -->
<!ENTITY realine          "&#x0211B;" ><!--SCRIPT CAPITAL R -->
<!ENTITY realpart         "&#x0211C;" ><!--BLACK-LETTER CAPITAL R -->
<!ENTITY reals            "&#x0211D;" ><!--DOUBLE-STRUCK CAPITAL R -->
<!ENTITY ReverseElement   "&#x0220B;" ><!--CONTAINS AS MEMBER -->
<!ENTITY ReverseEquilibrium "&#x021CB;" ><!--LEFTWARDS HARPOON OVER RIGHTWARDS HARPOON -->
<!ENTITY ReverseUpEquilibrium "&#x0296F;" ><!--DOWNWARDS HARPOON WITH BARB LEFT BESIDE UPWARDS HARPOON WITH BARB RIGHT -->
<!ENTITY RightAngleBracket "&#x027E9;" ><!--MATHEMATICAL RIGHT ANGLE BRACKET -->
<!ENTITY rightarrow       "&#x02192;" ><!--RIGHTWARDS ARROW -->
<!ENTITY Rightarrow       "&#x021D2;" ><!--RIGHTWARDS DOUBLE ARROW -->
<!ENTITY RightArrow       "&#x02192;" ><!--RIGHTWARDS ARROW -->
<!ENTITY RightArrowBar    "&#x021E5;" ><!--RIGHTWARDS ARROW TO BAR -->
<!ENTITY RightArrowLeftArrow "&#x021C4;" ><!--RIGHTWARDS ARROW OVER LEFTWARDS ARROW -->
<!ENTITY rightarrowtail   "&#x021A3;" ><!--RIGHTWARDS ARROW WITH TAIL -->
<!ENTITY RightCeiling     "&#x02309;" ><!--RIGHT CEILING -->
<!ENTITY RightDoubleBracket "&#x027E7;" ><!--MATHEMATICAL RIGHT WHITE SQUARE BRACKET -->
<!ENTITY RightDownVector  "&#x021C2;" ><!--DOWNWARDS HARPOON WITH BARB RIGHTWARDS -->
<!ENTITY RightFloor       "&#x0230B;" ><!--RIGHT FLOOR -->
<!ENTITY rightharpoondown "&#x021C1;" ><!--RIGHTWARDS HARPOON WITH BARB DOWNWARDS -->
<!ENTITY rightharpoonup   "&#x021C0;" ><!--RIGHTWARDS HARPOON WITH BARB UPWARDS -->
<!ENTITY rightleftarrows  "&#x021C4;" ><!--RIGHTWARDS ARROW OVER LEFTWARDS ARROW -->
<!ENTITY rightleftharpoons "&#x021CC;" ><!--RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON -->
<!ENTITY rightrightarrows "&#x021C9;" ><!--RIGHTWARDS PAIRED ARROWS -->
<!ENTITY rightsquigarrow  "&#x0219D;" ><!--RIGHTWARDS WAVE ARROW -->
<!ENTITY RightTee         "&#x022A2;" ><!--RIGHT TACK -->
<!ENTITY RightTeeArrow    "&#x021A6;" ><!--RIGHTWARDS ARROW FROM BAR -->
<!ENTITY rightthreetimes  "&#x022CC;" ><!--RIGHT SEMIDIRECT PRODUCT -->
<!ENTITY RightTriangle    "&#x022B3;" ><!--CONTAINS AS NORMAL SUBGROUP -->
<!ENTITY RightTriangleEqual "&#x022B5;" ><!--CONTAINS AS NORMAL SUBGROUP OR EQUAL TO -->
<!ENTITY RightUpVector    "&#x021BE;" ><!--UPWARDS HARPOON WITH BARB RIGHTWARDS -->
<!ENTITY RightVector      "&#x021C0;" ><!--RIGHTWARDS HARPOON WITH BARB UPWARDS -->
<!ENTITY risingdotseq     "&#x02253;" ><!--IMAGE OF OR APPROXIMATELY EQUAL TO -->
<!ENTITY rmoustache       "&#x023B1;" ><!--UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION -->
<!ENTITY Rrightarrow      "&#x021DB;" ><!--RIGHTWARDS TRIPLE ARROW -->
<!ENTITY Rsh              "&#x021B1;" ><!--UPWARDS ARROW WITH TIP RIGHTWARDS -->
<!ENTITY searrow          "&#x02198;" ><!--SOUTH EAST ARROW -->
<!ENTITY setminus         "&#x02216;" ><!--SET MINUS -->
<!ENTITY ShortDownArrow   "&#x02193;" ><!--DOWNWARDS ARROW -->
<!ENTITY ShortLeftArrow   "&#x02190;" ><!--LEFTWARDS ARROW -->
<!ENTITY shortmid         "&#x02223;" ><!--DIVIDES -->
<!ENTITY shortparallel    "&#x02225;" ><!--PARALLEL TO -->
<!ENTITY ShortRightArrow  "&#x02192;" ><!--RIGHTWARDS ARROW -->
<!ENTITY ShortUpArrow     "&#x02191;" ><!--UPWARDS ARROW -->
<!ENTITY simeq            "&#x02243;" ><!--ASYMPTOTICALLY EQUAL TO -->
<!ENTITY SmallCircle      "&#x02218;" ><!--RING OPERATOR -->
<!ENTITY smallsetminus    "&#x02216;" ><!--SET MINUS -->
<!ENTITY spadesuit        "&#x02660;" ><!--BLACK SPADE SUIT -->
<!ENTITY Sqrt             "&#x0221A;" ><!--SQUARE ROOT -->
<!ENTITY sqsubset         "&#x0228F;" ><!--SQUARE IMAGE OF -->
<!ENTITY sqsubseteq       "&#x02291;" ><!--SQUARE IMAGE OF OR EQUAL TO -->
<!ENTITY sqsupset         "&#x02290;" ><!--SQUARE ORIGINAL OF -->
<!ENTITY sqsupseteq       "&#x02292;" ><!--SQUARE ORIGINAL OF OR EQUAL TO -->
<!ENTITY Square           "&#x025A1;" ><!--WHITE SQUARE -->
<!ENTITY SquareIntersection "&#x02293;" ><!--SQUARE CAP -->
<!ENTITY SquareSubset     "&#x0228F;" ><!--SQUARE IMAGE OF -->
<!ENTITY SquareSubsetEqual "&#x02291;" ><!--SQUARE IMAGE OF OR EQUAL TO -->
<!ENTITY SquareSuperset   "&#x02290;" ><!--SQUARE ORIGINAL OF -->
<!ENTITY SquareSupersetEqual "&#x02292;" ><!--SQUARE ORIGINAL OF OR EQUAL TO -->
<!ENTITY SquareUnion      "&#x02294;" ><!--SQUARE CUP -->
<!ENTITY Star             "&#x022C6;" ><!--STAR OPERATOR -->
<!ENTITY straightepsilon  "&#x003F5;" ><!--GREEK LUNATE EPSILON SYMBOL -->
<!ENTITY straightphi      "&#x003D5;" ><!--GREEK PHI SYMBOL -->
<!ENTITY subset           "&#x02282;" ><!--SUBSET OF -->
<!ENTITY Subset           "&#x022D0;" ><!--DOUBLE SUBSET -->
<!ENTITY subseteq         "&#x02286;" ><!--SUBSET OF OR EQUAL TO -->
<!ENTITY subseteqq        "&#x02AC5;" ><!--SUBSET OF ABOVE EQUALS SIGN -->
<!ENTITY SubsetEqual      "&#x02286;" ><!--SUBSET OF OR EQUAL TO -->
<!ENTITY subsetneq        "&#x0228A;" ><!--SUBSET OF WITH NOT EQUAL TO -->
<!ENTITY subsetneqq       "&#x02ACB;" ><!--SUBSET OF ABOVE NOT EQUAL TO -->
<!ENTITY succ             "&#x0227B;" ><!--SUCCEEDS -->
<!ENTITY succapprox       "&#x02AB8;" ><!--SUCCEEDS ABOVE ALMOST EQUAL TO -->
<!ENTITY succcurlyeq      "&#x0227D;" ><!--SUCCEEDS OR EQUAL TO -->
<!ENTITY Succeeds         "&#x0227B;" ><!--SUCCEEDS -->
<!ENTITY SucceedsEqual    "&#x02AB0;" ><!--SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN -->
<!ENTITY SucceedsSlantEqual "&#x0227D;" ><!--SUCCEEDS OR EQUAL TO -->
<!ENTITY SucceedsTilde    "&#x0227F;" ><!--SUCCEEDS OR EQUIVALENT TO -->
<!ENTITY succeq           "&#x02AB0;" ><!--SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN -->
<!ENTITY succnapprox      "&#x02ABA;" ><!--SUCCEEDS ABOVE NOT ALMOST EQUAL TO -->
<!ENTITY succneqq         "&#x02AB6;" ><!--SUCCEEDS ABOVE NOT EQUAL TO -->
<!ENTITY succnsim         "&#x022E9;" ><!--SUCCEEDS BUT NOT EQUIVALENT TO -->
<!ENTITY succsim          "&#x0227F;" ><!--SUCCEEDS OR EQUIVALENT TO -->
<!ENTITY SuchThat         "&#x0220B;" ><!--CONTAINS AS MEMBER -->
<!ENTITY Sum              "&#x02211;" ><!--N-ARY SUMMATION -->
<!ENTITY Superset         "&#x02283;" ><!--SUPERSET OF -->
<!ENTITY SupersetEqual    "&#x02287;" ><!--SUPERSET OF OR EQUAL TO -->
<!ENTITY supset           "&#x02283;" ><!--SUPERSET OF -->
<!ENTITY Supset           "&#x022D1;" ><!--DOUBLE SUPERSET -->
<!ENTITY supseteq         "&#x02287;" ><!--SUPERSET OF OR EQUAL TO -->
<!ENTITY supseteqq        "&#x02AC6;" ><!--SUPERSET OF ABOVE EQUALS SIGN -->
<!ENTITY supsetneq        "&#x0228B;" ><!--SUPERSET OF WITH NOT EQUAL TO -->
<!ENTITY supsetneqq       "&#x02ACC;" ><!--SUPERSET OF ABOVE NOT EQUAL TO -->
<!ENTITY swarrow          "&#x02199;" ><!--SOUTH WEST ARROW -->
<!ENTITY therefore        "&#x02234;" ><!--THEREFORE -->
<!ENTITY Therefore        "&#x02234;" ><!--THEREFORE -->
<!ENTITY thickapprox      "&#x02248;" ><!--ALMOST EQUAL TO -->
<!ENTITY thicksim         "&#x0223C;" ><!--TILDE OPERATOR -->
<!ENTITY ThinSpace        "&#x02009;" ><!--THIN SPACE -->
<!ENTITY Tilde            "&#x0223C;" ><!--TILDE OPERATOR -->
<!ENTITY TildeEqual       "&#x02243;" ><!--ASYMPTOTICALLY EQUAL TO -->
<!ENTITY TildeFullEqual   "&#x02245;" ><!--APPROXIMATELY EQUAL TO -->
<!ENTITY TildeTilde       "&#x02248;" ><!--ALMOST EQUAL TO -->
<!ENTITY toea             "&#x02928;" ><!--NORTH EAST ARROW AND SOUTH EAST ARROW -->
<!ENTITY tosa             "&#x02929;" ><!--SOUTH EAST ARROW AND SOUTH WEST ARROW -->
<!ENTITY triangle         "&#x025B5;" ><!--WHITE UP-POINTING SMALL TRIANGLE -->
<!ENTITY triangledown     "&#x025BF;" ><!--WHITE DOWN-POINTING SMALL TRIANGLE -->
<!ENTITY triangleleft     "&#x025C3;" ><!--WHITE LEFT-POINTING SMALL TRIANGLE -->
<!ENTITY trianglelefteq   "&#x022B4;" ><!--NORMAL SUBGROUP OF OR EQUAL TO -->
<!ENTITY triangleq        "&#x0225C;" ><!--DELTA EQUAL TO -->
<!ENTITY triangleright    "&#x025B9;" ><!--WHITE RIGHT-POINTING SMALL TRIANGLE -->
<!ENTITY trianglerighteq  "&#x022B5;" ><!--CONTAINS AS NORMAL SUBGROUP OR EQUAL TO -->
<!ENTITY TripleDot        " &#x020DB;" ><!--COMBINING THREE DOTS ABOVE -->
<!ENTITY twoheadleftarrow "&#x0219E;" ><!--LEFTWARDS TWO HEADED ARROW -->
<!ENTITY twoheadrightarrow "&#x021A0;" ><!--RIGHTWARDS TWO HEADED ARROW -->
<!ENTITY ulcorner         "&#x0231C;" ><!--TOP LEFT CORNER -->
<!ENTITY Union            "&#x022C3;" ><!--N-ARY UNION -->
<!ENTITY UnionPlus        "&#x0228E;" ><!--MULTISET UNION -->
<!ENTITY uparrow          "&#x02191;" ><!--UPWARDS ARROW -->
<!ENTITY Uparrow          "&#x021D1;" ><!--UPWARDS DOUBLE ARROW -->
<!ENTITY UpArrow          "&#x02191;" ><!--UPWARDS ARROW -->
<!ENTITY UpArrowDownArrow "&#x021C5;" ><!--UPWARDS ARROW LEFTWARDS OF DOWNWARDS ARROW -->
<!ENTITY updownarrow      "&#x02195;" ><!--UP DOWN ARROW -->
<!ENTITY Updownarrow      "&#x021D5;" ><!--UP DOWN DOUBLE ARROW -->
<!ENTITY UpDownArrow      "&#x02195;" ><!--UP DOWN ARROW -->
<!ENTITY UpEquilibrium    "&#x0296E;" ><!--UPWARDS HARPOON WITH BARB LEFT BESIDE DOWNWARDS HARPOON WITH BARB RIGHT -->
<!ENTITY upharpoonleft    "&#x021BF;" ><!--UPWARDS HARPOON WITH BARB LEFTWARDS -->
<!ENTITY upharpoonright   "&#x021BE;" ><!--UPWARDS HARPOON WITH BARB RIGHTWARDS -->
<!ENTITY UpperLeftArrow   "&#x02196;" ><!--NORTH WEST ARROW -->
<!ENTITY UpperRightArrow  "&#x02197;" ><!--NORTH EAST ARROW -->
<!ENTITY upsilon          "&#x003C5;" ><!--GREEK SMALL LETTER UPSILON -->
<!ENTITY UpTee            "&#x022A5;" ><!--UP TACK -->
<!ENTITY UpTeeArrow       "&#x021A5;" ><!--UPWARDS ARROW FROM BAR -->
<!ENTITY upuparrows       "&#x021C8;" ><!--UPWARDS PAIRED ARROWS -->
<!ENTITY urcorner         "&#x0231D;" ><!--TOP RIGHT CORNER -->
<!ENTITY varepsilon       "&#x003F5;" ><!--GREEK LUNATE EPSILON SYMBOL -->
<!ENTITY varkappa         "&#x003F0;" ><!--GREEK KAPPA SYMBOL -->
<!ENTITY varnothing       "&#x02205;" ><!--EMPTY SET -->
<!ENTITY varphi           "&#x003D5;" ><!--GREEK PHI SYMBOL -->
<!ENTITY varpi            "&#x003D6;" ><!--GREEK PI SYMBOL -->
<!ENTITY varpropto        "&#x0221D;" ><!--PROPORTIONAL TO -->
<!ENTITY varrho           "&#x003F1;" ><!--GREEK RHO SYMBOL -->
<!ENTITY varsigma         "&#x003C2;" ><!--GREEK SMALL LETTER FINAL SIGMA -->
<!ENTITY varsubsetneq     "&#x0228A;&#x0FE00;" ><!--SUBSET OF WITH NOT EQUAL TO - variant with stroke through bottom members -->
<!ENTITY varsubsetneqq    "&#x02ACB;&#x0FE00;" ><!--SUBSET OF ABOVE NOT EQUAL TO - variant with stroke through bottom members -->
<!ENTITY varsupsetneq     "&#x0228B;&#x0FE00;" ><!--SUPERSET OF WITH NOT EQUAL TO - variant with stroke through bottom members -->
<!ENTITY varsupsetneqq    "&#x02ACC;&#x0FE00;" ><!--SUPERSET OF ABOVE NOT EQUAL TO - variant with stroke through bottom members -->
<!ENTITY vartheta         "&#x003D1;" ><!--GREEK THETA SYMBOL -->
<!ENTITY vartriangleleft  "&#x022B2;" ><!--NORMAL SUBGROUP OF -->
<!ENTITY vartriangleright "&#x022B3;" ><!--CONTAINS AS NORMAL SUBGROUP -->
<!ENTITY vee              "&#x02228;" ><!--LOGICAL OR -->
<!ENTITY Vee              "&#x022C1;" ><!--N-ARY LOGICAL OR -->
<!ENTITY vert             "&#x0007C;" ><!--VERTICAL LINE -->
<!ENTITY Vert             "&#x02016;" ><!--DOUBLE VERTICAL LINE -->
<!ENTITY VerticalBar      "&#x02223;" ><!--DIVIDES -->
<!ENTITY VerticalTilde    "&#x02240;" ><!--WREATH PRODUCT -->
<!ENTITY VeryThinSpace    "&#x0200A;" ><!--HAIR SPACE -->
<!ENTITY wedge            "&#x02227;" ><!--LOGICAL AND -->
<!ENTITY Wedge            "&#x022C0;" ><!--N-ARY LOGICAL AND -->
<!ENTITY wp               "&#x02118;" ><!--SCRIPT CAPITAL P -->
<!ENTITY wr               "&#x02240;" ><!--WREATH PRODUCT -->
<!ENTITY zeetrf           "&#x02128;" ><!--BLACK-LETTER CAPITAL Z -->
