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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.
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<!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 –>