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<!--
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;" ><!-- -->
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