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

     Please report any errors to 
     David Carlisle <davidc@nag.co.uk>.

     The numeric character values assigned to each entity
     (should) match either official Unicode assignments
     or assignments provisionally allocated by the
     Unicode Consortium based on the characters in the `STIX'
     propsal for mathematics. Note that these assignments
     have not been ratified by the corresponding ISO
     committee and thus should be considered liable to
     change.

-->

<!ENTITY af               "&#x02061;" ><!--short form of &ApplyFunction; -->
<!ENTITY ApplyFunction    "&#x02061;" ><!--character showing function application in presentation tagging -->
<!ENTITY Assign           "&#x02254;" ><!--assignment operator -->
<!ENTITY CapitalDifferentialD "&#x02145;" ><!--D for use in differentials, e.g., within integrals -->
<!ENTITY Cayleys          "&#x0212D;" ><!--the non-associative ring of octonions or Cayley numbers -->
<!ENTITY complexes        "&#x02102;" ><!--the field of complex numbers -->
<!ENTITY Cross            "&#x02A2F;" ><!--cross or vector product -->
<!ENTITY dd               "&#x02146;" ><!--short form of &DifferentialD; -->
<!ENTITY DD               "&#x02145;" ><!--short form of CapitalDifferentialD -->
<!ENTITY DifferentialD    "&#x02146;" ><!--d for use in differentials, e.g., within integrals -->
<!ENTITY DownArrowBar     "&#x02913;" ><!--down arrow to bar -->
<!ENTITY DownBreve        "&#x00311;" ><!--breve, inverted (non-spacing) -->
<!ENTITY DownLeftRightVector "&#x02950;" ><!--left-down-right-down harpoon -->
<!ENTITY DownLeftTeeVector "&#x0295E;" ><!--left-down harpoon from bar -->
<!ENTITY DownLeftVectorBar "&#x02956;" ><!--left-down harpoon to bar -->
<!ENTITY DownRightTeeVector "&#x0295F;" ><!--right-down harpoon from bar -->
<!ENTITY DownRightVectorBar "&#x02957;" ><!--right-down harpoon to bar -->
<!ENTITY DownTeeArrow     "&#x021A7;" ><!--alias for mapstodown -->
<!ENTITY ee               "&#x02147;" ><!--short form of &ExponentialE; -->
<!ENTITY EmptySmallSquare "&#x025FD;" ><!--empty small square -->
<!ENTITY EmptyVerySmallSquare "&#x025FD;" ><!--empty small square -->
<!ENTITY Equal            "&#x02A75;" ><!--two consecutive equal signs -->
<!ENTITY expectation      "&#x02130;" ><!--expectation (operator) -->
<!ENTITY exponentiale     "&#x0212F;" ><!--base of the Napierian logarithms -->
<!ENTITY ExponentialE     "&#x02147;" ><!--e use for the exponential base of the natural logarithms -->
<!ENTITY FilledSmallSquare "&#x025FE;" ><!--filled small square -->
<!ENTITY FilledVerySmallSquare "&#x025FE;" ><!--filled very small square -->
<!ENTITY Fouriertrf       "&#x02131;" ><!--Fourier transform -->
<!ENTITY GreaterGreater   "&#x02AA2;" ><!--alias for GT -->
<!ENTITY HilbertSpace     "&#x0210B;" ><!--Hilbert space -->
<!ENTITY HorizontalLine   "&#x02500;" ><!--short horizontal line  -->
<!ENTITY ic               "&#x0200B;" ><!--short form of  &InvisibleComma; -->
<!ENTITY ii               "&#x02148;" ><!--short form of &ImaginaryI; -->
<!ENTITY ImaginaryI       "&#x02148;" ><!--i for use as a square root of -1 -->
<!ENTITY imagline         "&#x02110;" ><!--the geometric imaginary line -->
<!ENTITY integers         "&#x02124;" ><!--the ring of integers -->
<!ENTITY InvisibleComma   "&#x0200B;" ><!--used as a separator, e.g., in indices -->
<!ENTITY InvisibleTimes   "&#x02062;" ><!--marks multiplication when it is understood without a mark -->
<!ENTITY it               "&#x02062;" ><!--short form of &InvisibleTimes; -->
<!ENTITY Laplacetrf       "&#x02112;" ><!--Laplace transform -->
<!ENTITY larrb            "&#x021E4;" ><!--leftwards arrow to bar -->
<!ENTITY LeftArrowBar     "&#x021E4;" ><!--alias for larrb -->
<!ENTITY LeftDownTeeVector "&#x02961;" ><!--down-left harpoon from bar -->
<!ENTITY LeftDownVectorBar "&#x02959;" ><!--down-left harpoon to bar -->
<!ENTITY LeftRightVector  "&#x0294E;" ><!--left-up-right-up harpoon -->
<!ENTITY LeftTeeArrow     "&#x021A4;" ><!--alias for mapstoleft -->
<!ENTITY LeftTeeVector    "&#x0295A;" ><!--left-up harpoon from bar -->
<!ENTITY LeftTriangleBar  "&#x029CF;" ><!--not left triangle, vertical bar -->
<!ENTITY LeftUpDownVector "&#x02951;" ><!--up-left-down-left harpoon -->
<!ENTITY LeftUpTeeVector  "&#x02960;" ><!--up-left harpoon from bar -->
<!ENTITY LeftUpVectorBar  "&#x02958;" ><!--up-left harpoon to bar -->
<!ENTITY LeftVectorBar    "&#x02952;" ><!--left-up harpoon to bar -->
<!ENTITY LessLess         "&#x02AA1;" ><!--alias for Lt -->
<!ENTITY mapstodown       "&#x021A7;" ><!--downwards arrow from bar -->
<!ENTITY mapstoleft       "&#x021A4;" ><!--leftwards arrow from bar -->
<!ENTITY mapstoup         "&#x021A5;" ><!--upwards arrow from bar -->
<!ENTITY Mellintrf        "&#x02133;" ><!--Mellin transform -->
<!ENTITY naturals         "&#x02115;" ><!--the semi-ring of natural numbers -->
<!ENTITY nbump            "&#x0224E;&#x00338;" ><!--not bumpy equals -->
<!ENTITY nbumpe           "&#x0224F;&#x00338;" ><!--not bumpy single equals -->
<!ENTITY NegativeMediumSpace "&#x0205F;&#x02063;" ><!--space of width -4/18 em -->
<!ENTITY NegativeThickSpace "&#x02005;&#x02063;" ><!--space of width -5/18 em -->
<!ENTITY NegativeThinSpace "&#x02009;&#x02063;" ><!--space of width -3/18 em -->
<!ENTITY NegativeVeryThinSpace "&#x0200A;&#x02063;" ><!--space of width -1/18 em -->
<!ENTITY nesim            "&#x02242;&#x00338;" ><!--not equal or similar -->
<!ENTITY NewLine          "&#x0000A;" ><!--force a line break; line feed -->
<!ENTITY NoBreak          "&#x0FEFF;" ><!--never break line here -->
<!ENTITY NotCupCap        "&#x0226D;" ><!--alias for &nasymp; -->
<!ENTITY NotEqualTilde    "&#x02242;&#x00338;" ><!--alias for  &nesim; -->
<!ENTITY NotHumpDownHump  "&#x0224E;&#x00338;" ><!--alias for &nbump; -->
<!ENTITY NotHumpEqual     "&#x0224F;&#x00338;" ><!--alias for &nbumpe; -->
<!ENTITY NotLeftTriangleBar "&#x029CF;&#x00338;" ><!--not left triangle, vertical bar -->
<!ENTITY NotNestedGreaterGreater "&#x024A2;&#x00338;" ><!--not double greater-than sign -->
<!ENTITY NotNestedLessLess "&#x024A1;&#x00338;" ><!--not double less-than sign -->
<!ENTITY NotRightTriangleBar "&#x029D0;&#x00338;" ><!--not vertical bar, right triangle -->
<!ENTITY NotSquareSubset  "&#x0228F;&#x00338;" ><!--square not subset -->
<!ENTITY NotSquareSuperset "&#x02290;&#x00338;" ><!--negated set-like partial order operator -->
<!ENTITY NotSucceedsTilde "&#x0227F;&#x00338;" ><!--not succeeds or similar -->
<!ENTITY OverBar          "&#x000AF;" ><!--over bar -->
<!ENTITY OverBrace        "&#x0FE37;" ><!--over brace  -->
<!ENTITY OverBracket      "&#x023B4;" ><!--over bracket -->
<!ENTITY OverParenthesis  "&#x0FE35;" ><!--over parenthesis -->
<!ENTITY planckh          "&#x0210E;" ><!--the ring (skew field) of quaternions -->
<!ENTITY Poincareplane    "&#x0210C;" ><!--the Poincare upper half-plane -->
<!ENTITY primes           "&#x02119;" ><!--the prime natural numbers -->
<!ENTITY Product          "&#x0220F;" ><!--alias for &prod -->
<!ENTITY quaternions      "&#x0210D;" ><!--the ring (skew field) of quaternions -->
<!ENTITY rarrb            "&#x021E5;" ><!--leftwards arrow to bar -->
<!ENTITY rationals        "&#x0211A;" ><!--the field of rational numbers -->
<!ENTITY realine          "&#x0211B;" ><!--the geometric real line -->
<!ENTITY reals            "&#x0211D;" ><!--the field of real numbers -->
<!ENTITY RightArrowBar    "&#x021E5;" ><!--alias for rarrb -->
<!ENTITY RightDownTeeVector "&#x0295D;" ><!--down-right harpoon from bar -->
<!ENTITY RightDownVectorBar "&#x02955;" ><!--down-right harpoon to bar -->
<!ENTITY RightTeeVector   "&#x0295B;" ><!--right-up harpoon from bar -->
<!ENTITY RightTriangleBar "&#x029D0;" ><!--vertical bar, right triangle -->
<!ENTITY RightUpDownVector "&#x0294F;" ><!--up-right-down-right harpoon -->
<!ENTITY RightUpTeeVector "&#x0295C;" ><!--up-right harpoon from bar -->
<!ENTITY RightUpVectorBar "&#x02954;" ><!--up-right harpoon to bar -->
<!ENTITY RightVectorBar   "&#x02953;" ><!--up-right harpoon to bar -->
<!ENTITY RoundImplies     "&#x02970;" ><!--round implies -->
<!ENTITY RuleDelayed      "&#x029F4;" ><!--rule-delayed (colon right arrow) -->
<!ENTITY ShortDownArrow   "&#x02304;&#x02063;" ><!--short down arrow -->
<!ENTITY ShortUpArrow     "&#x02303;&#x02063;" ><!--short up arrow  -->
<!ENTITY Tab              "&#x00009;" ><!--tabulator stop; horizontal tabulation -->
<!ENTITY ThickSpace       "&#x02005;" ><!--space of width 5/18 em -->
<!ENTITY UnderBar         "&#x00332;" ><!--combining low line -->
<!ENTITY UnderBrace       "&#x0FE38;" ><!--under brace  -->
<!ENTITY UnderBracket     "&#x023B5;" ><!--under bracket -->
<!ENTITY UpArrowBar       "&#x02912;" ><!--up arrow to bar -->
<!ENTITY UpTeeArrow       "&#x021A5;" ><!--Alias mapstoup -->
<!ENTITY VerticalLine     "&#x02758;" ><!--short vertical line  -->
<!ENTITY VerticalSeparator "&#x02758;" ><!--vertical separating operator -->
<!ENTITY zeetrf           "&#x02128;" ><!--zee transform -->
<!ENTITY ZeroWidthSpace   "&#x0200B;" ><!--zero width space -->
