- From: Ville Skytta <ville@dev.w3.org>
- Date: Wed, 24 Nov 2004 23:20:47 +0000
- To: www-validator-cvs@w3.org
Update of /sources/public/validator/htdocs/sgml-lib/REC-MathML2-20031021/mathml
In directory hutz:/tmp/cvs-serv18378/REC-MathML2-20031021/mathml
Added Files:
mmlalias.ent mmlextra.ent
Log Message:
Add REC-MathML2-20031021, purge UPD-MathML2-20030620 and old MathML+XHTML+SVG DTDs.
--- NEW FILE: mmlextra.ent ---
<!--
File mmlextra.ent produced by the XSL script characters.xsl
from input data in unicode.xml.
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 4.0.
-->
<!ENTITY % plane1D "&#38;#x1D">
<!ENTITY af "⁡" ><!--character showing function application in presentation tagging -->
<!ENTITY aopf "%plane1D;552;" ><!-- -->
<!ENTITY asympeq "≍" ><!--Old ISOAMSR asymp (for HTML compatibility) -->
<!ENTITY bopf "%plane1D;553;" ><!-- -->
<!ENTITY copf "%plane1D;554;" ><!-- -->
<!ENTITY Cross "⨯" ><!--cross or vector product -->
<!ENTITY DD "ⅅ" ><!--D for use in differentials, e.g., within integrals -->
<!ENTITY dd "ⅆ" ><!--d for use in differentials, e.g., within integrals -->
<!ENTITY dopf "%plane1D;555;" ><!-- -->
<!ENTITY DownArrowBar "⤓" ><!--down arrow to bar -->
<!ENTITY DownBreve " ̑" ><!--breve, inverted (non-spacing) -->
<!ENTITY DownLeftRightVector "⥐" ><!--left-down-right-down harpoon -->
<!ENTITY DownLeftTeeVector "⥞" ><!--left-down harpoon from bar -->
<!ENTITY DownLeftVectorBar "⥖" ><!--left-down harpoon to bar -->
<!ENTITY DownRightTeeVector "⥟" ><!--right-down harpoon from bar -->
<!ENTITY DownRightVectorBar "⥗" ><!--right-down harpoon to bar -->
<!ENTITY ee "ⅇ" ><!--e use for the exponential base of the natural logarithms -->
<!ENTITY EmptySmallSquare "◻" ><!--empty small square -->
<!ENTITY EmptyVerySmallSquare "▫" ><!--empty small square -->
<!ENTITY eopf "%plane1D;556;" ><!-- -->
<!ENTITY Equal "⩵" ><!--two consecutive equal signs -->
<!ENTITY FilledSmallSquare "◼" ><!--filled small square -->
<!ENTITY FilledVerySmallSquare "▪" ><!--filled very small square -->
<!ENTITY fopf "%plane1D;557;" ><!-- -->
<!ENTITY gopf "%plane1D;558;" ><!-- -->
<!ENTITY GreaterGreater "⪢" ><!--alias for GT -->
<!ENTITY Hat "^" ><!--circumflex accent -->
<!ENTITY hopf "%plane1D;559;" ><!-- -->
<!ENTITY HorizontalLine "─" ><!--short horizontal line -->
<!ENTITY ic "⁣" ><!--short form of ⁣ -->
<!ENTITY ii "ⅈ" ><!--i for use as a square root of -1 -->
<!ENTITY iopf "%plane1D;55A;" ><!-- -->
<!ENTITY it "⁢" ><!--marks multiplication when it is understood without a mark -->
<!ENTITY jopf "%plane1D;55B;" ><!-- -->
<!ENTITY kopf "%plane1D;55C;" ><!-- -->
<!ENTITY larrb "⇤" ><!--leftwards arrow to bar -->
<!ENTITY LeftDownTeeVector "⥡" ><!--down-left harpoon from bar -->
<!ENTITY LeftDownVectorBar "⥙" ><!--down-left harpoon to bar -->
<!ENTITY LeftRightVector "⥎" ><!--left-up-right-up harpoon -->
<!ENTITY LeftTeeVector "⥚" ><!--left-up harpoon from bar -->
<!ENTITY LeftTriangleBar "⧏" ><!--left triangle, vertical bar -->
<!ENTITY LeftUpDownVector "⥑" ><!--up-left-down-left harpoon -->
<!ENTITY LeftUpTeeVector "⥠" ><!--up-left harpoon from bar -->
<!ENTITY LeftUpVectorBar "⥘" ><!--up-left harpoon to bar -->
<!ENTITY LeftVectorBar "⥒" ><!--left-up harpoon to bar -->
<!ENTITY LessLess "⪡" ><!--alias for Lt -->
<!ENTITY lopf "%plane1D;55D;" ><!-- -->
<!ENTITY mapstodown "↧" ><!--downwards arrow from bar -->
<!ENTITY mapstoleft "↤" ><!--leftwards arrow from bar -->
<!ENTITY mapstoup "↥" ><!--upwards arrow from bar -->
<!ENTITY MediumSpace " " ><!--space of width 4/18 em -->
<!ENTITY mopf "%plane1D;55E;" ><!-- -->
<!ENTITY nbump "≎̸" ><!--not bumpy equals -->
<!ENTITY nbumpe "≏̸" ><!--not bumpy single equals -->
<!ENTITY nesim "≂̸" ><!--not equal or similar -->
<!ENTITY NewLine "
" ><!--force a line break; line feed -->
<!ENTITY NoBreak "⁠" ><!--never break line here -->
<!ENTITY nopf "%plane1D;55F;" ><!-- -->
<!ENTITY NotCupCap "≭" ><!--alias for &nasymp; -->
<!ENTITY NotHumpEqual "≏̸" ><!--alias for ≏̸ -->
<!ENTITY NotLeftTriangleBar "⧏̸" ><!--not left triangle, vertical bar -->
<!ENTITY NotNestedGreaterGreater "⪢̸" ><!--not double greater-than sign -->
<!ENTITY NotNestedLessLess "⪡̸" ><!--not double less-than sign -->
<!ENTITY NotRightTriangleBar "⧐̸" ><!--not vertical bar, right triangle -->
<!ENTITY NotSquareSubset "⊏̸" ><!--square not subset -->
<!ENTITY NotSquareSuperset "⊐̸" ><!--negated set-like partial order operator -->
<!ENTITY NotSucceedsTilde "≿̸" ><!--not succeeds or similar -->
<!ENTITY oopf "%plane1D;560;" ><!-- -->
<!ENTITY OverBar "¯" ><!--over bar -->
<!ENTITY OverBrace "︷" ><!--over brace -->
<!ENTITY OverBracket "⎴" ><!--over bracket -->
<!ENTITY OverParenthesis "︵" ><!--over parenthesis -->
<!ENTITY planckh "ℎ" ><!--the ring (skew field) of quaternions -->
<!ENTITY popf "%plane1D;561;" ><!-- -->
<!ENTITY Product "∏" ><!--alias for ∏ -->
<!ENTITY qopf "%plane1D;562;" ><!-- -->
<!ENTITY rarrb "⇥" ><!--leftwards arrow to bar -->
<!ENTITY RightDownTeeVector "⥝" ><!--down-right harpoon from bar -->
<!ENTITY RightDownVectorBar "⥕" ><!--down-right harpoon to bar -->
<!ENTITY RightTeeVector "⥛" ><!--right-up harpoon from bar -->
<!ENTITY RightTriangleBar "⧐" ><!--vertical bar, right triangle -->
<!ENTITY RightUpDownVector "⥏" ><!--up-right-down-right harpoon -->
<!ENTITY RightUpTeeVector "⥜" ><!--up-right harpoon from bar -->
<!ENTITY RightUpVectorBar "⥔" ><!--up-right harpoon to bar -->
<!ENTITY RightVectorBar "⥓" ><!--up-right harpoon to bar -->
<!ENTITY ropf "%plane1D;563;" ><!-- -->
<!ENTITY RoundImplies "⥰" ><!--round implies -->
<!ENTITY RuleDelayed "⧴" ><!--rule-delayed (colon right arrow) -->
<!ENTITY sopf "%plane1D;564;" ><!-- -->
<!ENTITY Tab "	" ><!--tabulator stop; horizontal tabulation -->
<!ENTITY ThickSpace "   " ><!--space of width 5/18 em -->
<!ENTITY topf "%plane1D;565;" ><!-- -->
<!ENTITY UnderBar " ̲" ><!--combining low line -->
<!ENTITY UnderBrace "︸" ><!--under brace -->
<!ENTITY UnderBracket "⎵" ><!--under bracket -->
<!ENTITY UnderParenthesis "︶" ><!--under parenthesis -->
<!ENTITY uopf "%plane1D;566;" ><!-- -->
<!ENTITY UpArrowBar "⤒" ><!--up arrow to bar -->
<!ENTITY Upsilon "Υ" ><!--ISOGRK1 Ugr, HTML4 Upsilon -->
<!ENTITY VerticalLine "|" ><!--alias ISONUM verbar -->
<!ENTITY VerticalSeparator "❘" ><!--vertical separating operator -->
<!ENTITY vopf "%plane1D;567;" ><!-- -->
<!ENTITY wopf "%plane1D;568;" ><!-- -->
<!ENTITY xopf "%plane1D;569;" ><!-- -->
<!ENTITY yopf "%plane1D;56A;" ><!-- -->
<!ENTITY ZeroWidthSpace "​" ><!--zero width space -->
<!ENTITY zopf "%plane1D;56B;" ><!-- -->
--- NEW FILE: mmlalias.ent ---
<!--
File mmlalias.ent produced by the XSL script characters.xsl
from input data in unicode.xml.
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 4.0.
References to the VARIANT SELECTOR 1 character (︀)
should match the uses listed in Unicode Technical Report 25.
-->
<!ENTITY angle "∠" ><!--alias ISOAMSO ang -->
<!ENTITY ApplyFunction "⁡" ><!--character showing function application in presentation tagging -->
<!ENTITY approx "≈" ><!--alias ISOTECH ap -->
<!ENTITY approxeq "≊" ><!--alias ISOAMSR ape -->
<!ENTITY Assign "≔" ><!--assignment operator, alias ISOAMSR colone -->
<!ENTITY backcong "≌" ><!--alias ISOAMSR bcong -->
<!ENTITY backepsilon "϶" ><!--alias ISOAMSR bepsi -->
<!ENTITY backprime "‵" ><!--alias ISOAMSO bprime -->
<!ENTITY backsim "∽" ><!--alias ISOAMSR bsim -->
<!ENTITY backsimeq "⋍" ><!--alias ISOAMSR bsime -->
<!ENTITY Backslash "∖" ><!--alias ISOAMSB setmn -->
<!ENTITY barwedge "⌅" ><!--alias ISOAMSB barwed -->
<!ENTITY Because "∵" ><!--alias ISOTECH becaus -->
<!ENTITY because "∵" ><!--alias ISOTECH becaus -->
<!ENTITY Bernoullis "ℬ" ><!--alias ISOTECH bernou -->
<!ENTITY between "≬" ><!--alias ISOAMSR twixt -->
<!ENTITY bigcap "⋂" ><!--alias ISOAMSB xcap -->
<!ENTITY bigcirc "◯" ><!--alias ISOAMSB xcirc -->
<!ENTITY bigcup "⋃" ><!--alias ISOAMSB xcup -->
<!ENTITY bigodot "⨀" ><!--alias ISOAMSB xodot -->
<!ENTITY bigoplus "⨁" ><!--alias ISOAMSB xoplus -->
<!ENTITY bigotimes "⨂" ><!--alias ISOAMSB xotime -->
<!ENTITY bigsqcup "⨆" ><!--alias ISOAMSB xsqcup -->
<!ENTITY bigstar "★" ><!--ISOPUB starf -->
<!ENTITY bigtriangledown "▽" ><!--alias ISOAMSB xdtri -->
<!ENTITY bigtriangleup "△" ><!--alias ISOAMSB xutri -->
<!ENTITY biguplus "⨄" ><!--alias ISOAMSB xuplus -->
<!ENTITY bigvee "⋁" ><!--alias ISOAMSB xvee -->
<!ENTITY bigwedge "⋀" ><!--alias ISOAMSB xwedge -->
<!ENTITY bkarow "⤍" ><!--alias ISOAMSA rbarr -->
<!ENTITY blacklozenge "⧫" ><!--alias ISOPUB lozf -->
<!ENTITY blacksquare "▪" ><!--ISOTECH squarf -->
<!ENTITY blacktriangle "▴" ><!--alias ISOPUB utrif -->
<!ENTITY blacktriangledown "▾" ><!--alias ISOPUB dtrif -->
<!ENTITY blacktriangleleft "◂" ><!--alias ISOPUB ltrif -->
<!ENTITY blacktriangleright "▸" ><!--alias ISOPUB rtrif -->
<!ENTITY bot "⊥" ><!--alias ISOTECH bottom -->
<!ENTITY boxminus "⊟" ><!--alias ISOAMSB minusb -->
<!ENTITY boxplus "⊞" ><!--alias ISOAMSB plusb -->
<!ENTITY boxtimes "⊠" ><!--alias ISOAMSB timesb -->
<!ENTITY Breve "˘" ><!--alias ISODIA breve -->
<!ENTITY bullet "•" ><!--alias ISOPUB bull -->
<!ENTITY Bumpeq "≎" ><!--alias ISOAMSR bump -->
<!ENTITY bumpeq "≏" ><!--alias ISOAMSR bumpe -->
<!ENTITY CapitalDifferentialD "ⅅ" ><!--D for use in differentials, e.g., within integrals -->
<!ENTITY Cayleys "ℭ" ><!--the non-associative ring of octonions or Cayley numbers -->
<!ENTITY Cedilla "¸" ><!--alias ISODIA cedil -->
<!ENTITY CenterDot "·" ><!--alias ISONUM middot -->
<!ENTITY centerdot "·" ><!--alias ISONUM middot -->
<!ENTITY checkmark "✓" ><!--alias ISOPUB check -->
<!ENTITY circeq "≗" ><!--alias ISOAMSR cire -->
<!ENTITY circlearrowleft "↺" ><!--alias ISOAMSA olarr -->
<!ENTITY circlearrowright "↻" ><!--alias ISOAMSA orarr -->
<!ENTITY circledast "⊛" ><!--alias ISOAMSB oast -->
<!ENTITY circledcirc "⊚" ><!--alias ISOAMSB ocir -->
<!ENTITY circleddash "⊝" ><!--alias ISOAMSB odash -->
<!ENTITY CircleDot "⊙" ><!--alias ISOAMSB odot -->
<!ENTITY circledR "®" ><!--alias ISONUM reg -->
<!ENTITY circledS "Ⓢ" ><!--alias ISOAMSO oS -->
<!ENTITY CircleMinus "⊖" ><!--alias ISOAMSB ominus -->
<!ENTITY CirclePlus "⊕" ><!--alias ISOAMSB oplus -->
<!ENTITY CircleTimes "⊗" ><!--alias ISOAMSB otimes -->
<!ENTITY ClockwiseContourIntegral "∲" ><!--alias ISOTECH cwconint -->
<!ENTITY CloseCurlyDoubleQuote "”" ><!--alias ISONUM rdquo -->
<!ENTITY CloseCurlyQuote "’" ><!--alias ISONUM rsquo -->
<!ENTITY clubsuit "♣" ><!--ISOPUB clubs -->
<!ENTITY coloneq "≔" ><!--alias ISOAMSR colone -->
<!ENTITY complement "∁" ><!--alias ISOAMSO comp -->
<!ENTITY complexes "ℂ" ><!--the field of complex numbers -->
<!ENTITY Congruent "≡" ><!--alias ISOTECH equiv -->
<!ENTITY ContourIntegral "∮" ><!--alias ISOTECH conint -->
<!ENTITY Coproduct "∐" ><!--alias ISOAMSB coprod -->
<!ENTITY CounterClockwiseContourIntegral "∳" ><!--alias ISOTECH awconint -->
<!ENTITY CupCap "≍" ><!--alias asympeq -->
<!ENTITY curlyeqprec "⋞" ><!--alias ISOAMSR cuepr -->
<!ENTITY curlyeqsucc "⋟" ><!--alias ISOAMSR cuesc -->
<!ENTITY curlyvee "⋎" ><!--alias ISOAMSB cuvee -->
<!ENTITY curlywedge "⋏" ><!--alias ISOAMSB cuwed -->
<!ENTITY curvearrowleft "↶" ><!--alias ISOAMSA cularr -->
<!ENTITY curvearrowright "↷" ><!--alias ISOAMSA curarr -->
<!ENTITY dbkarow "⤏" ><!--alias ISOAMSA rBarr -->
<!ENTITY ddagger "‡" ><!--alias ISOPUB Dagger -->
<!ENTITY ddotseq "⩷" ><!--alias ISOAMSR eDDot -->
<!ENTITY Del "∇" ><!--alias ISOTECH nabla -->
<!ENTITY DiacriticalAcute "´" ><!--alias ISODIA acute -->
<!ENTITY DiacriticalDot "˙" ><!--alias ISODIA dot -->
<!ENTITY DiacriticalDoubleAcute "˝" ><!--alias ISODIA dblac -->
<!ENTITY DiacriticalGrave "`" ><!--alias ISODIA grave -->
<!ENTITY DiacriticalTilde "˜" ><!--alias ISODIA tilde -->
<!ENTITY Diamond "⋄" ><!--alias ISOAMSB diam -->
<!ENTITY diamond "⋄" ><!--alias ISOAMSB diam -->
<!ENTITY diamondsuit "♦" ><!--ISOPUB diams -->
<!ENTITY DifferentialD "ⅆ" ><!--d for use in differentials, e.g., within integrals -->
<!ENTITY digamma "ϝ" ><!--alias ISOGRK3 gammad -->
<!ENTITY div "÷" ><!--alias ISONUM divide -->
<!ENTITY divideontimes "⋇" ><!--alias ISOAMSB divonx -->
<!ENTITY doteq "≐" ><!--alias ISOAMSR esdot -->
<!ENTITY doteqdot "≑" ><!--alias ISOAMSR eDot -->
<!ENTITY DotEqual "≐" ><!--alias ISOAMSR esdot -->
<!ENTITY dotminus "∸" ><!--alias ISOAMSB minusd -->
<!ENTITY dotplus "∔" ><!--alias ISOAMSB plusdo -->
<!ENTITY dotsquare "⊡" ><!--alias ISOAMSB sdotb -->
<!ENTITY doublebarwedge "⌆" ><!--alias ISOAMSB Barwed -->
<!ENTITY DoubleContourIntegral "∯" ><!--alias ISOTECH Conint -->
<!ENTITY DoubleDot "¨" ><!--alias ISODIA die -->
<!ENTITY DoubleDownArrow "⇓" ><!--alias ISOAMSA dArr -->
<!ENTITY DoubleLeftArrow "⇐" ><!--alias ISOTECH lArr -->
<!ENTITY DoubleLeftRightArrow "⇔" ><!--alias ISOAMSA hArr -->
<!ENTITY DoubleLeftTee "⫤" ><!--alias for ⫤ -->
<!ENTITY DoubleLongLeftArrow "⟸" ><!--alias ISOAMSA xlArr -->
<!ENTITY DoubleLongLeftRightArrow "⟺" ><!--alias ISOAMSA xhArr -->
<!ENTITY DoubleLongRightArrow "⟹" ><!--alias ISOAMSA xrArr -->
<!ENTITY DoubleRightArrow "⇒" ><!--alias ISOTECH rArr -->
<!ENTITY DoubleRightTee "⊨" ><!--alias ISOAMSR vDash -->
<!ENTITY DoubleUpArrow "⇑" ><!--alias ISOAMSA uArr -->
<!ENTITY DoubleUpDownArrow "⇕" ><!--alias ISOAMSA vArr -->
<!ENTITY DoubleVerticalBar "∥" ><!--alias ISOTECH par -->
<!ENTITY DownArrow "↓" ><!--alias ISONUM darr -->
<!ENTITY Downarrow "⇓" ><!--alias ISOAMSA dArr -->
<!ENTITY downarrow "↓" ><!--alias ISONUM darr -->
<!ENTITY DownArrowUpArrow "⇵" ><!--alias ISOAMSA duarr -->
<!ENTITY downdownarrows "⇊" ><!--alias ISOAMSA ddarr -->
<!ENTITY downharpoonleft "⇃" ><!--alias ISOAMSA dharl -->
<!ENTITY downharpoonright "⇂" ><!--alias ISOAMSA dharr -->
<!ENTITY DownLeftVector "↽" ><!--alias ISOAMSA lhard -->
<!ENTITY DownRightVector "⇁" ><!--alias ISOAMSA rhard -->
<!ENTITY DownTee "⊤" ><!--alias ISOTECH top -->
<!ENTITY DownTeeArrow "↧" ><!--alias for mapstodown -->
<!ENTITY drbkarow "⤐" ><!--alias ISOAMSA RBarr -->
<!ENTITY Element "∈" ><!--alias ISOTECH isinv -->
<!ENTITY emptyset "∅" ><!--alias ISOAMSO empty -->
<!ENTITY eqcirc "≖" ><!--alias ISOAMSR ecir -->
<!ENTITY eqcolon "≕" ><!--alias ISOAMSR ecolon -->
<!ENTITY eqsim "≂" ><!--alias ISOAMSR esim -->
<!ENTITY eqslantgtr "⪖" ><!--alias ISOAMSR egs -->
<!ENTITY eqslantless "⪕" ><!--alias ISOAMSR els -->
<!ENTITY EqualTilde "≂" ><!--alias ISOAMSR esim -->
<!ENTITY Equilibrium "⇌" ><!--alias ISOAMSA rlhar -->
<!ENTITY Exists "∃" ><!--alias ISOTECH exist -->
<!ENTITY expectation "ℰ" ><!--expectation (operator) -->
<!ENTITY ExponentialE "ⅇ" ><!--e use for the exponential base of the natural logarithms -->
<!ENTITY exponentiale "ⅇ" ><!--base of the Napierian logarithms -->
<!ENTITY fallingdotseq "≒" ><!--alias ISOAMSR efDot -->
<!ENTITY ForAll "∀" ><!--alias ISOTECH forall -->
<!ENTITY Fouriertrf "ℱ" ><!--Fourier transform -->
<!ENTITY geq "≥" ><!--alias ISOTECH ge -->
<!ENTITY geqq "≧" ><!--alias ISOAMSR gE -->
<!ENTITY geqslant "⩾" ><!--alias ISOAMSR ges -->
<!ENTITY gg "≫" ><!--alias ISOAMSR Gt -->
<!ENTITY ggg "⋙" ><!--alias ISOAMSR Gg -->
<!ENTITY gnapprox "⪊" ><!--alias ISOAMSN gnap -->
<!ENTITY gneq "⪈" ><!--alias ISOAMSN gne -->
<!ENTITY gneqq "≩" ><!--alias ISOAMSN gnE -->
<!ENTITY GreaterEqual "≥" ><!--alias ISOTECH ge -->
<!ENTITY GreaterEqualLess "⋛" ><!--alias ISOAMSR gel -->
<!ENTITY GreaterFullEqual "≧" ><!--alias ISOAMSR gE -->
<!ENTITY GreaterLess "≷" ><!--alias ISOAMSR gl -->
<!ENTITY GreaterSlantEqual "⩾" ><!--alias ISOAMSR ges -->
<!ENTITY GreaterTilde "≳" ><!--alias ISOAMSR gsim -->
<!ENTITY gtrapprox "⪆" ><!--alias ISOAMSR gap -->
<!ENTITY gtrdot "⋗" ><!--alias ISOAMSR gtdot -->
<!ENTITY gtreqless "⋛" ><!--alias ISOAMSR gel -->
<!ENTITY gtreqqless "⪌" ><!--alias ISOAMSR gEl -->
<!ENTITY gtrless "≷" ><!--alias ISOAMSR gl -->
<!ENTITY gtrsim "≳" ><!--alias ISOAMSR gsim -->
<!ENTITY gvertneqq "≩︀" ><!--alias ISOAMSN gvnE -->
<!ENTITY Hacek "ˇ" ><!--alias ISODIA caron -->
<!ENTITY hbar "ℏ" ><!--alias ISOAMSO plank -->
<!ENTITY heartsuit "♥" ><!--ISOPUB hearts -->
<!ENTITY HilbertSpace "ℋ" ><!--Hilbert space -->
<!ENTITY hksearow "⤥" ><!--alias ISOAMSA searhk -->
<!ENTITY hkswarow "⤦" ><!--alias ISOAMSA swarhk -->
<!ENTITY hookleftarrow "↩" ><!--alias ISOAMSA larrhk -->
<!ENTITY hookrightarrow "↪" ><!--alias ISOAMSA rarrhk -->
<!ENTITY hslash "ℏ" ><!--alias ISOAMSO plankv -->
<!ENTITY HumpDownHump "≎" ><!--alias ISOAMSR bump -->
<!ENTITY HumpEqual "≏" ><!--alias ISOAMSR bumpe -->
<!ENTITY iiiint "⨌" ><!--alias ISOTECH qint -->
<!ENTITY iiint "∭" ><!--alias ISOTECH tint -->
<!ENTITY Im "ℑ" ><!--alias ISOAMSO image -->
<!ENTITY ImaginaryI "ⅈ" ><!--i for use as a square root of -1 -->
<!ENTITY imagline "ℐ" ><!--the geometric imaginary line -->
<!ENTITY imagpart "ℑ" ><!--alias ISOAMSO image -->
<!ENTITY Implies "⇒" ><!--alias ISOTECH rArr -->
<!ENTITY in "∈" ><!--ISOTECH isin -->
<!ENTITY integers "ℤ" ><!--the ring of integers -->
<!ENTITY Integral "∫" ><!--alias ISOTECH int -->
<!ENTITY intercal "⊺" ><!--alias ISOAMSB intcal -->
<!ENTITY Intersection "⋂" ><!--alias ISOAMSB xcap -->
<!ENTITY intprod "⨼" ><!--alias ISOAMSB iprod -->
<!ENTITY InvisibleComma "⁣" ><!--used as a separator, e.g., in indices -->
<!ENTITY InvisibleTimes "⁢" ><!--marks multiplication when it is understood without a mark -->
<!ENTITY langle "〈" ><!--alias ISOTECH lang -->
<!ENTITY Laplacetrf "ℒ" ><!--Laplace transform -->
<!ENTITY lbrace "{" ><!--alias ISONUM lcub -->
<!ENTITY lbrack "[" ><!--alias ISONUM lsqb -->
<!ENTITY LeftAngleBracket "〈" ><!--alias ISOTECH lang -->
<!ENTITY LeftArrow "←" ><!--alias ISONUM larr -->
<!ENTITY Leftarrow "⇐" ><!--alias ISOTECH lArr -->
<!ENTITY leftarrow "←" ><!--alias ISONUM larr -->
<!ENTITY LeftArrowBar "⇤" ><!--alias for larrb -->
<!ENTITY LeftArrowRightArrow "⇆" ><!--alias ISOAMSA lrarr -->
<!ENTITY leftarrowtail "↢" ><!--alias ISOAMSA larrtl -->
<!ENTITY LeftCeiling "⌈" ><!--alias ISOAMSC lceil -->
<!ENTITY LeftDoubleBracket "〚" ><!--left double bracket delimiter -->
<!ENTITY LeftDownVector "⇃" ><!--alias ISOAMSA dharl -->
<!ENTITY LeftFloor "⌊" ><!--alias ISOAMSC lfloor -->
<!ENTITY leftharpoondown "↽" ><!--alias ISOAMSA lhard -->
<!ENTITY leftharpoonup "↼" ><!--alias ISOAMSA lharu -->
<!ENTITY leftleftarrows "⇇" ><!--alias ISOAMSA llarr -->
<!ENTITY LeftRightArrow "↔" ><!--alias ISOAMSA harr -->
<!ENTITY Leftrightarrow "⇔" ><!--alias ISOAMSA hArr -->
<!ENTITY leftrightarrow "↔" ><!--alias ISOAMSA harr -->
<!ENTITY leftrightarrows "⇆" ><!--alias ISOAMSA lrarr -->
<!ENTITY leftrightharpoons "⇋" ><!--alias ISOAMSA lrhar -->
<!ENTITY leftrightsquigarrow "↭" ><!--alias ISOAMSA harrw -->
<!ENTITY LeftTee "⊣" ><!--alias ISOAMSR dashv -->
<!ENTITY LeftTeeArrow "↤" ><!--alias for mapstoleft -->
<!ENTITY leftthreetimes "⋋" ><!--alias ISOAMSB lthree -->
<!ENTITY LeftTriangle "⊲" ><!--alias ISOAMSR vltri -->
<!ENTITY LeftTriangleEqual "⊴" ><!--alias ISOAMSR ltrie -->
<!ENTITY LeftUpVector "↿" ><!--alias ISOAMSA uharl -->
<!ENTITY LeftVector "↼" ><!--alias ISOAMSA lharu -->
<!ENTITY leq "≤" ><!--alias ISOTECH le -->
<!ENTITY leqq "≦" ><!--alias ISOAMSR lE -->
<!ENTITY leqslant "⩽" ><!--alias ISOAMSR les -->
<!ENTITY lessapprox "⪅" ><!--alias ISOAMSR lap -->
<!ENTITY lessdot "⋖" ><!--alias ISOAMSR ltdot -->
<!ENTITY lesseqgtr "⋚" ><!--alias ISOAMSR leg -->
<!ENTITY lesseqqgtr "⪋" ><!--alias ISOAMSR lEg -->
<!ENTITY LessEqualGreater "⋚" ><!--alias ISOAMSR leg -->
<!ENTITY LessFullEqual "≦" ><!--alias ISOAMSR lE -->
<!ENTITY LessGreater "≶" ><!--alias ISOAMSR lg -->
<!ENTITY lessgtr "≶" ><!--alias ISOAMSR lg -->
<!ENTITY lesssim "≲" ><!--alias ISOAMSR lsim -->
<!ENTITY LessSlantEqual "⩽" ><!--alias ISOAMSR les -->
<!ENTITY LessTilde "≲" ><!--alias ISOAMSR lsim -->
<!ENTITY ll "≪" ><!--alias ISOAMSR Lt -->
<!ENTITY llcorner "⌞" ><!--alias ISOAMSC dlcorn -->
<!ENTITY Lleftarrow "⇚" ><!--alias ISOAMSA lAarr -->
<!ENTITY lmoustache "⎰" ><!--alias ISOAMSC lmoust -->
<!ENTITY lnapprox "⪉" ><!--alias ISOAMSN lnap -->
<!ENTITY lneq "⪇" ><!--alias ISOAMSN lne -->
<!ENTITY lneqq "≨" ><!--alias ISOAMSN lnE -->
<!ENTITY LongLeftArrow "⟵" ><!--alias ISOAMSA xlarr -->
<!ENTITY Longleftarrow "⟸" ><!--alias ISOAMSA xlArr -->
<!ENTITY longleftarrow "⟵" ><!--alias ISOAMSA xlarr -->
<!ENTITY LongLeftRightArrow "⟷" ><!--alias ISOAMSA xharr -->
<!ENTITY Longleftrightarrow "⟺" ><!--alias ISOAMSA xhArr -->
<!ENTITY longleftrightarrow "⟷" ><!--alias ISOAMSA xharr -->
<!ENTITY longmapsto "⟼" ><!--alias ISOAMSA xmap -->
<!ENTITY LongRightArrow "⟶" ><!--alias ISOAMSA xrarr -->
<!ENTITY Longrightarrow "⟹" ><!--alias ISOAMSA xrArr -->
<!ENTITY longrightarrow "⟶" ><!--alias ISOAMSA xrarr -->
<!ENTITY looparrowleft "↫" ><!--alias ISOAMSA larrlp -->
<!ENTITY looparrowright "↬" ><!--alias ISOAMSA rarrlp -->
<!ENTITY LowerLeftArrow "↙" ><!--alias ISOAMSA swarr -->
<!ENTITY LowerRightArrow "↘" ><!--alias ISOAMSA searr -->
<!ENTITY lozenge "◊" ><!--alias ISOPUB loz -->
<!ENTITY lrcorner "⌟" ><!--alias ISOAMSC drcorn -->
<!ENTITY Lsh "↰" ><!--alias ISOAMSA lsh -->
<!ENTITY lvertneqq "≨︀" ><!--alias ISOAMSN lvnE -->
<!ENTITY maltese "✠" ><!--alias ISOPUB malt -->
<!ENTITY mapsto "↦" ><!--alias ISOAMSA map -->
<!ENTITY measuredangle "∡" ><!--alias ISOAMSO angmsd -->
<!ENTITY Mellintrf "ℳ" ><!--Mellin transform -->
<!ENTITY MinusPlus "∓" ><!--alias ISOTECH mnplus -->
<!ENTITY mp "∓" ><!--alias ISOTECH mnplus -->
<!ENTITY multimap "⊸" ><!--alias ISOAMSA mumap -->
<!ENTITY napprox "≉" ><!--alias ISOAMSN nap -->
<!ENTITY natural "♮" ><!--alias ISOPUB natur -->
<!ENTITY naturals "ℕ" ><!--the semi-ring of natural numbers -->
<!ENTITY nearrow "↗" ><!--alias ISOAMSA nearr -->
<!ENTITY NegativeMediumSpace "​" ><!--space of width -4/18 em -->
<!ENTITY NegativeThickSpace "​" ><!--space of width -5/18 em -->
<!ENTITY NegativeThinSpace "​" ><!--space of width -3/18 em -->
<!ENTITY NegativeVeryThinSpace "​" ><!--space of width -1/18 em -->
<!ENTITY NestedGreaterGreater "≫" ><!--alias ISOAMSR Gt -->
<!ENTITY NestedLessLess "≪" ><!--alias ISOAMSR Lt -->
<!ENTITY nexists "∄" ><!--alias ISOAMSO nexist -->
<!ENTITY ngeq "≱" ><!--alias ISOAMSN nge -->
<!ENTITY ngeqq "≧̸" ><!--alias ISOAMSN ngE -->
<!ENTITY ngeqslant "⩾̸" ><!--alias ISOAMSN nges -->
<!ENTITY ngtr "≯" ><!--alias ISOAMSN ngt -->
<!ENTITY nLeftarrow "⇍" ><!--alias ISOAMSA nlArr -->
<!ENTITY nleftarrow "↚" ><!--alias ISOAMSA nlarr -->
<!ENTITY nLeftrightarrow "⇎" ><!--alias ISOAMSA nhArr -->
<!ENTITY nleftrightarrow "↮" ><!--alias ISOAMSA nharr -->
<!ENTITY nleq "≰" ><!--alias ISOAMSN nle -->
<!ENTITY nleqq "≦̸" ><!--alias ISOAMSN nlE -->
<!ENTITY nleqslant "⩽̸" ><!--alias ISOAMSN nles -->
<!ENTITY nless "≮" ><!--alias ISOAMSN nlt -->
<!ENTITY NonBreakingSpace " " ><!--alias ISONUM nbsp -->
<!ENTITY NotCongruent "≢" ><!--alias ISOAMSN nequiv -->
<!ENTITY NotDoubleVerticalBar "∦" ><!--alias ISOAMSN npar -->
<!ENTITY NotElement "∉" ><!--alias ISOTECH notin -->
<!ENTITY NotEqual "≠" ><!--alias ISOTECH ne -->
<!ENTITY NotEqualTilde "≂̸" ><!--alias for ≂̸ -->
<!ENTITY NotExists "∄" ><!--alias ISOAMSO nexist -->
<!ENTITY NotGreater "≯" ><!--alias ISOAMSN ngt -->
<!ENTITY NotGreaterEqual "≱" ><!--alias ISOAMSN nge -->
<!ENTITY NotGreaterFullEqual "≦̸" ><!--alias ISOAMSN nlE -->
<!ENTITY NotGreaterGreater "≫̸" ><!--alias ISOAMSN nGtv -->
<!ENTITY NotGreaterLess "≹" ><!--alias ISOAMSN ntvgl -->
<!ENTITY NotGreaterSlantEqual "⩾̸" ><!--alias ISOAMSN nges -->
<!ENTITY NotGreaterTilde "≵" ><!--alias ISOAMSN ngsim -->
<!ENTITY NotHumpDownHump "≎̸" ><!--alias for ≎̸ -->
<!ENTITY NotLeftTriangle "⋪" ><!--alias ISOAMSN nltri -->
<!ENTITY NotLeftTriangleEqual "⋬" ><!--alias ISOAMSN nltrie -->
<!ENTITY NotLess "≮" ><!--alias ISOAMSN nlt -->
<!ENTITY NotLessEqual "≰" ><!--alias ISOAMSN nle -->
<!ENTITY NotLessGreater "≸" ><!--alias ISOAMSN ntvlg -->
<!ENTITY NotLessLess "≪̸" ><!--alias ISOAMSN nLtv -->
<!ENTITY NotLessSlantEqual "⩽̸" ><!--alias ISOAMSN nles -->
<!ENTITY NotLessTilde "≴" ><!--alias ISOAMSN nlsim -->
<!ENTITY NotPrecedes "⊀" ><!--alias ISOAMSN npr -->
<!ENTITY NotPrecedesEqual "⪯̸" ><!--alias ISOAMSN npre -->
<!ENTITY NotPrecedesSlantEqual "⋠" ><!--alias ISOAMSN nprcue -->
<!ENTITY NotReverseElement "∌" ><!--alias ISOTECH notniva -->
<!ENTITY NotRightTriangle "⋫" ><!--alias ISOAMSN nrtri -->
<!ENTITY NotRightTriangleEqual "⋭" ><!--alias ISOAMSN nrtrie -->
<!ENTITY NotSquareSubsetEqual "⋢" ><!--alias ISOAMSN nsqsube -->
<!ENTITY NotSquareSupersetEqual "⋣" ><!--alias ISOAMSN nsqsupe -->
<!ENTITY NotSubset "⊂⃒" ><!--alias ISOAMSN vnsub -->
<!ENTITY NotSubsetEqual "⊈" ><!--alias ISOAMSN nsube -->
<!ENTITY NotSucceeds "⊁" ><!--alias ISOAMSN nsc -->
<!ENTITY NotSucceedsEqual "⪰̸" ><!--alias ISOAMSN nsce -->
<!ENTITY NotSucceedsSlantEqual "⋡" ><!--alias ISOAMSN nsccue -->
<!ENTITY NotSuperset "⊃⃒" ><!--alias ISOAMSN vnsup -->
<!ENTITY NotSupersetEqual "⊉" ><!--alias ISOAMSN nsupe -->
<!ENTITY NotTilde "≁" ><!--alias ISOAMSN nsim -->
<!ENTITY NotTildeEqual "≄" ><!--alias ISOAMSN nsime -->
<!ENTITY NotTildeFullEqual "≇" ><!--alias ISOAMSN ncong -->
<!ENTITY NotTildeTilde "≉" ><!--alias ISOAMSN nap -->
<!ENTITY NotVerticalBar "∤" ><!--alias ISOAMSN nmid -->
<!ENTITY nparallel "∦" ><!--alias ISOAMSN npar -->
<!ENTITY nprec "⊀" ><!--alias ISOAMSN npr -->
<!ENTITY npreceq "⪯̸" ><!--alias ISOAMSN npre -->
<!ENTITY nRightarrow "⇏" ><!--alias ISOAMSA nrArr -->
<!ENTITY nrightarrow "↛" ><!--alias ISOAMSA nrarr -->
<!ENTITY nshortmid "∤" ><!--alias ISOAMSN nsmid -->
<!ENTITY nshortparallel "∦" ><!--alias ISOAMSN nspar -->
<!ENTITY nsimeq "≄" ><!--alias ISOAMSN nsime -->
<!ENTITY nsubset "⊂⃒" ><!--alias ISOAMSN vnsub -->
<!ENTITY nsubseteq "⊈" ><!--alias ISOAMSN nsube -->
<!ENTITY nsubseteqq "⫅̸" ><!--alias ISOAMSN nsubE -->
<!ENTITY nsucc "⊁" ><!--alias ISOAMSN nsc -->
<!ENTITY nsucceq "⪰̸" ><!--alias ISOAMSN nsce -->
<!ENTITY nsupset "⊃⃒" ><!--alias ISOAMSN vnsup -->
<!ENTITY nsupseteq "⊉" ><!--alias ISOAMSN nsupe -->
<!ENTITY nsupseteqq "⫆̸" ><!--alias ISOAMSN nsupE -->
<!ENTITY ntriangleleft "⋪" ><!--alias ISOAMSN nltri -->
<!ENTITY ntrianglelefteq "⋬" ><!--alias ISOAMSN nltrie -->
<!ENTITY ntriangleright "⋫" ><!--alias ISOAMSN nrtri -->
<!ENTITY ntrianglerighteq "⋭" ><!--alias ISOAMSN nrtrie -->
<!ENTITY nwarrow "↖" ><!--alias ISOAMSA nwarr -->
<!ENTITY oint "∮" ><!--alias ISOTECH conint -->
<!ENTITY OpenCurlyDoubleQuote "“" ><!--alias ISONUM ldquo -->
<!ENTITY OpenCurlyQuote "‘" ><!--alias ISONUM lsquo -->
<!ENTITY orderof "ℴ" ><!--alias ISOTECH order -->
<!ENTITY parallel "∥" ><!--alias ISOTECH par -->
<!ENTITY PartialD "∂" ><!--alias ISOTECH part -->
<!ENTITY pitchfork "⋔" ><!--alias ISOAMSR fork -->
<!ENTITY PlusMinus "±" ><!--alias ISONUM plusmn -->
<!ENTITY pm "±" ><!--alias ISONUM plusmn -->
<!ENTITY Poincareplane "ℌ" ><!--the Poincare upper half-plane -->
<!ENTITY prec "≺" ><!--alias ISOAMSR pr -->
<!ENTITY precapprox "⪷" ><!--alias ISOAMSR prap -->
<!ENTITY preccurlyeq "≼" ><!--alias ISOAMSR prcue -->
<!ENTITY Precedes "≺" ><!--alias ISOAMSR pr -->
<!ENTITY PrecedesEqual "⪯" ><!--alias ISOAMSR pre -->
<!ENTITY PrecedesSlantEqual "≼" ><!--alias ISOAMSR prcue -->
<!ENTITY PrecedesTilde "≾" ><!--alias ISOAMSR prsim -->
<!ENTITY preceq "⪯" ><!--alias ISOAMSR pre -->
<!ENTITY precnapprox "⪹" ><!--alias ISOAMSN prnap -->
<!ENTITY precneqq "⪵" ><!--alias ISOAMSN prnE -->
<!ENTITY precnsim "⋨" ><!--alias ISOAMSN prnsim -->
<!ENTITY precsim "≾" ><!--alias ISOAMSR prsim -->
<!ENTITY primes "ℙ" ><!--the prime natural numbers -->
<!ENTITY Proportion "∷" ><!--alias ISOAMSR Colon -->
<!ENTITY Proportional "∝" ><!--alias ISOTECH prop -->
<!ENTITY propto "∝" ><!--alias ISOTECH prop -->
<!ENTITY quaternions "ℍ" ><!--the ring (skew field) of quaternions -->
<!ENTITY questeq "≟" ><!--alias ISOAMSR equest -->
<!ENTITY rangle "〉" ><!--alias ISOTECH rang -->
<!ENTITY rationals "ℚ" ><!--the field of rational numbers -->
<!ENTITY rbrace "}" ><!--alias ISONUM rcub -->
<!ENTITY rbrack "]" ><!--alias ISONUM rsqb -->
<!ENTITY Re "ℜ" ><!--alias ISOAMSO real -->
<!ENTITY realine "ℛ" ><!--the geometric real line -->
<!ENTITY realpart "ℜ" ><!--alias ISOAMSO real -->
<!ENTITY reals "ℝ" ><!--the field of real numbers -->
<!ENTITY ReverseElement "∋" ><!--alias ISOTECH niv -->
<!ENTITY ReverseEquilibrium "⇋" ><!--alias ISOAMSA lrhar -->
<!ENTITY ReverseUpEquilibrium "⥯" ><!--alias ISOAMSA duhar -->
<!ENTITY RightAngleBracket "〉" ><!--alias ISOTECH rang -->
<!ENTITY RightArrow "→" ><!--alias ISONUM rarr -->
<!ENTITY Rightarrow "⇒" ><!--alias ISOTECH rArr -->
<!ENTITY rightarrow "→" ><!--alias ISONUM rarr -->
<!ENTITY RightArrowBar "⇥" ><!--alias for rarrb -->
<!ENTITY RightArrowLeftArrow "⇄" ><!--alias ISOAMSA rlarr -->
<!ENTITY rightarrowtail "↣" ><!--alias ISOAMSA rarrtl -->
<!ENTITY RightCeiling "⌉" ><!--alias ISOAMSC rceil -->
<!ENTITY RightDoubleBracket "〛" ><!--right double bracket delimiter -->
<!ENTITY RightDownVector "⇂" ><!--alias ISOAMSA dharr -->
<!ENTITY RightFloor "⌋" ><!--alias ISOAMSC rfloor -->
<!ENTITY rightharpoondown "⇁" ><!--alias ISOAMSA rhard -->
<!ENTITY rightharpoonup "⇀" ><!--alias ISOAMSA rharu -->
<!ENTITY rightleftarrows "⇄" ><!--alias ISOAMSA rlarr -->
<!ENTITY rightleftharpoons "⇌" ><!--alias ISOAMSA rlhar -->
<!ENTITY rightrightarrows "⇉" ><!--alias ISOAMSA rrarr -->
<!ENTITY rightsquigarrow "↝" ><!--alias ISOAMSA rarrw -->
<!ENTITY RightTee "⊢" ><!--alias ISOAMSR vdash -->
<!ENTITY RightTeeArrow "↦" ><!--alias ISOAMSA map -->
<!ENTITY rightthreetimes "⋌" ><!--alias ISOAMSB rthree -->
<!ENTITY RightTriangle "⊳" ><!--alias ISOAMSR vrtri -->
<!ENTITY RightTriangleEqual "⊵" ><!--alias ISOAMSR rtrie -->
<!ENTITY RightUpVector "↾" ><!--alias ISOAMSA uharr -->
<!ENTITY RightVector "⇀" ><!--alias ISOAMSA rharu -->
<!ENTITY risingdotseq "≓" ><!--alias ISOAMSR erDot -->
<!ENTITY rmoustache "⎱" ><!--alias ISOAMSC rmoust -->
<!ENTITY Rrightarrow "⇛" ><!--alias ISOAMSA rAarr -->
<!ENTITY Rsh "↱" ><!--alias ISOAMSA rsh -->
<!ENTITY searrow "↘" ><!--alias ISOAMSA searr -->
<!ENTITY setminus "∖" ><!--alias ISOAMSB setmn -->
<!ENTITY ShortDownArrow "↓" ><!--short down arrow -->
<!ENTITY ShortLeftArrow "←" ><!--alias ISOAMSA slarr -->
<!ENTITY shortmid "∣" ><!--alias ISOAMSR smid -->
<!ENTITY shortparallel "∥" ><!--alias ISOAMSR spar -->
<!ENTITY ShortRightArrow "→" ><!--alias ISOAMSA srarr -->
<!ENTITY ShortUpArrow "↑" ><!--short up arrow -->
<!ENTITY simeq "≃" ><!--alias ISOTECH sime -->
<!ENTITY SmallCircle "∘" ><!--alias ISOTECH compfn -->
<!ENTITY smallsetminus "∖" ><!--alias ISOAMSB ssetmn -->
<!ENTITY spadesuit "♠" ><!--ISOPUB spades -->
<!ENTITY Sqrt "√" ><!--alias ISOTECH radic -->
<!ENTITY sqsubset "⊏" ><!--alias ISOAMSR sqsub -->
<!ENTITY sqsubseteq "⊑" ><!--alias ISOAMSR sqsube -->
<!ENTITY sqsupset "⊐" ><!--alias ISOAMSR sqsup -->
<!ENTITY sqsupseteq "⊒" ><!--alias ISOAMSR sqsupe -->
<!ENTITY Square "□" ><!--alias for square -->
<!ENTITY SquareIntersection "⊓" ><!--alias ISOAMSB sqcap -->
<!ENTITY SquareSubset "⊏" ><!--alias ISOAMSR sqsub -->
<!ENTITY SquareSubsetEqual "⊑" ><!--alias ISOAMSR sqsube -->
<!ENTITY SquareSuperset "⊐" ><!--alias ISOAMSR sqsup -->
<!ENTITY SquareSupersetEqual "⊒" ><!--alias ISOAMSR sqsupe -->
<!ENTITY SquareUnion "⊔" ><!--alias ISOAMSB sqcup -->
<!ENTITY Star "⋆" ><!--alias ISOAMSB sstarf -->
<!ENTITY straightepsilon "ϵ" ><!--alias ISOGRK3 epsi -->
<!ENTITY straightphi "ϕ" ><!--alias ISOGRK3 phi -->
<!ENTITY Subset "⋐" ><!--alias ISOAMSR Sub -->
<!ENTITY subset "⊂" ><!--alias ISOTECH sub -->
<!ENTITY subseteq "⊆" ><!--alias ISOTECH sube -->
<!ENTITY subseteqq "⫅" ><!--alias ISOAMSR subE -->
<!ENTITY SubsetEqual "⊆" ><!--alias ISOTECH sube -->
<!ENTITY subsetneq "⊊" ><!--alias ISOAMSN subne -->
<!ENTITY subsetneqq "⫋" ><!--alias ISOAMSN subnE -->
<!ENTITY succ "≻" ><!--alias ISOAMSR sc -->
<!ENTITY succapprox "⪸" ><!--alias ISOAMSR scap -->
<!ENTITY succcurlyeq "≽" ><!--alias ISOAMSR sccue -->
<!ENTITY Succeeds "≻" ><!--alias ISOAMSR sc -->
<!ENTITY SucceedsEqual "⪰" ><!--alias ISOAMSR sce -->
<!ENTITY SucceedsSlantEqual "≽" ><!--alias ISOAMSR sccue -->
<!ENTITY SucceedsTilde "≿" ><!--alias ISOAMSR scsim -->
<!ENTITY succeq "⪰" ><!--alias ISOAMSR sce -->
<!ENTITY succnapprox "⪺" ><!--alias ISOAMSN scnap -->
<!ENTITY succneqq "⪶" ><!--alias ISOAMSN scnE -->
<!ENTITY succnsim "⋩" ><!--alias ISOAMSN scnsim -->
<!ENTITY succsim "≿" ><!--alias ISOAMSR scsim -->
<!ENTITY SuchThat "∋" ><!--ISOTECH ni -->
<!ENTITY Sum "∑" ><!--alias ISOAMSB sum -->
<!ENTITY Superset "⊃" ><!--alias ISOTECH sup -->
<!ENTITY SupersetEqual "⊇" ><!--alias ISOTECH supe -->
<!ENTITY Supset "⋑" ><!--alias ISOAMSR Sup -->
<!ENTITY supset "⊃" ><!--alias ISOTECH sup -->
<!ENTITY supseteq "⊇" ><!--alias ISOTECH supe -->
<!ENTITY supseteqq "⫆" ><!--alias ISOAMSR supE -->
<!ENTITY supsetneq "⊋" ><!--alias ISOAMSN supne -->
<!ENTITY supsetneqq "⫌" ><!--alias ISOAMSN supnE -->
<!ENTITY swarrow "↙" ><!--alias ISOAMSA swarr -->
<!ENTITY Therefore "∴" ><!--alias ISOTECH there4 -->
<!ENTITY therefore "∴" ><!--alias ISOTECH there4 -->
<!ENTITY thickapprox "≈" ><!--ISOAMSR thkap -->
<!ENTITY thicksim "∼" ><!--ISOAMSR thksim -->
<!ENTITY ThinSpace " " ><!--space of width 3/18 em alias ISOPUB thinsp -->
<!ENTITY Tilde "∼" ><!--alias ISOTECH sim -->
<!ENTITY TildeEqual "≃" ><!--alias ISOTECH sime -->
<!ENTITY TildeFullEqual "≅" ><!--alias ISOTECH cong -->
<!ENTITY TildeTilde "≈" ><!--alias ISOTECH ap -->
<!ENTITY toea "⤨" ><!--alias ISOAMSA nesear -->
<!ENTITY tosa "⤩" ><!--alias ISOAMSA seswar -->
<!ENTITY triangle "▵" ><!--alias ISOPUB utri -->
<!ENTITY triangledown "▿" ><!--alias ISOPUB dtri -->
<!ENTITY triangleleft "◃" ><!--alias ISOPUB ltri -->
<!ENTITY trianglelefteq "⊴" ><!--alias ISOAMSR ltrie -->
<!ENTITY triangleq "≜" ><!--alias ISOAMSR trie -->
<!ENTITY triangleright "▹" ><!--alias ISOPUB rtri -->
<!ENTITY trianglerighteq "⊵" ><!--alias ISOAMSR rtrie -->
<!ENTITY TripleDot " ⃛" ><!--alias ISOTECH tdot -->
<!ENTITY twoheadleftarrow "↞" ><!--alias ISOAMSA Larr -->
<!ENTITY twoheadrightarrow "↠" ><!--alias ISOAMSA Rarr -->
<!ENTITY ulcorner "⌜" ><!--alias ISOAMSC ulcorn -->
<!ENTITY Union "⋃" ><!--alias ISOAMSB xcup -->
<!ENTITY UnionPlus "⊎" ><!--alias ISOAMSB uplus -->
<!ENTITY UpArrow "↑" ><!--alias ISONUM uarr -->
<!ENTITY Uparrow "⇑" ><!--alias ISOAMSA uArr -->
<!ENTITY uparrow "↑" ><!--alias ISONUM uarr -->
<!ENTITY UpArrowDownArrow "⇅" ><!--alias ISOAMSA udarr -->
<!ENTITY UpDownArrow "↕" ><!--alias ISOAMSA varr -->
<!ENTITY Updownarrow "⇕" ><!--alias ISOAMSA vArr -->
<!ENTITY updownarrow "↕" ><!--alias ISOAMSA varr -->
<!ENTITY UpEquilibrium "⥮" ><!--alias ISOAMSA udhar -->
<!ENTITY upharpoonleft "↿" ><!--alias ISOAMSA uharl -->
<!ENTITY upharpoonright "↾" ><!--alias ISOAMSA uharr -->
<!ENTITY UpperLeftArrow "↖" ><!--alias ISOAMSA nwarr -->
<!ENTITY UpperRightArrow "↗" ><!--alias ISOAMSA nearr -->
<!ENTITY upsilon "υ" ><!--alias ISOGRK3 upsi -->
<!ENTITY UpTee "⊥" ><!--alias ISOTECH perp -->
<!ENTITY UpTeeArrow "↥" ><!--Alias mapstoup -->
<!ENTITY upuparrows "⇈" ><!--alias ISOAMSA uuarr -->
<!ENTITY urcorner "⌝" ><!--alias ISOAMSC urcorn -->
<!ENTITY varepsilon "ε" ><!--alias ISOGRK3 epsiv -->
<!ENTITY varkappa "ϰ" ><!--alias ISOGRK3 kappav -->
<!ENTITY varnothing "∅" ><!--alias ISOAMSO emptyv -->
<!ENTITY varphi "φ" ><!--alias ISOGRK3 phiv -->
<!ENTITY varpi "ϖ" ><!--alias ISOGRK3 piv -->
<!ENTITY varpropto "∝" ><!--alias ISOAMSR vprop -->
<!ENTITY varrho "ϱ" ><!--alias ISOGRK3 rhov -->
<!ENTITY varsigma "ς" ><!--alias ISOGRK3 sigmav -->
<!ENTITY varsubsetneq "⊊︀" ><!--alias ISOAMSN vsubne -->
<!ENTITY varsubsetneqq "⫋︀" ><!--alias ISOAMSN vsubnE -->
<!ENTITY varsupsetneq "⊋︀" ><!--alias ISOAMSN vsupne -->
<!ENTITY varsupsetneqq "⫌︀" ><!--alias ISOAMSN vsupnE -->
<!ENTITY vartheta "ϑ" ><!--alias ISOGRK3 thetav -->
<!ENTITY vartriangleleft "⊲" ><!--alias ISOAMSR vltri -->
<!ENTITY vartriangleright "⊳" ><!--alias ISOAMSR vrtri -->
<!ENTITY Vee "⋁" ><!--alias ISOAMSB xvee -->
<!ENTITY vee "∨" ><!--alias ISOTECH or -->
<!ENTITY Vert "‖" ><!--alias ISOTECH Verbar -->
<!ENTITY vert "|" ><!--alias ISONUM verbar -->
<!ENTITY VerticalBar "∣" ><!--alias ISOAMSR mid -->
<!ENTITY VerticalTilde "≀" ><!--alias ISOAMSB wreath -->
<!ENTITY VeryThinSpace " " ><!--space of width 1/18 em alias ISOPUB hairsp -->
<!ENTITY Wedge "⋀" ><!--alias ISOAMSB xwedge -->
<!ENTITY wedge "∧" ><!--alias ISOTECH and -->
<!ENTITY wp "℘" ><!--alias ISOAMSO weierp -->
<!ENTITY wr "≀" ><!--alias ISOAMSB wreath -->
<!ENTITY zeetrf "ℨ" ><!--zee transform -->
Received on Wednesday, 24 November 2004 23:20:48 UTC