<!–

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;#38;#x1D”>

<!ENTITY af “&#x02061;” ><!–character showing function application in presentation tagging –> <!ENTITY aopf “%plane1D;552;” ><!– –> <!ENTITY asympeq “&#x0224D;” ><!–Old ISOAMSR asymp (for HTML compatibility) –> <!ENTITY bopf “%plane1D;553;” ><!– –> <!ENTITY copf “%plane1D;554;” ><!– –> <!ENTITY Cross “&#x02A2F;” ><!–cross or vector product –> <!ENTITY DD “&#x02145;” ><!–D for use in differentials, e.g., within integrals –> <!ENTITY dd “&#x02146;” ><!–d for use in differentials, e.g., within integrals –> <!ENTITY dopf “%plane1D;555;” ><!– –> <!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 ee “&#x02147;” ><!–e use for the exponential base of the natural logarithms –> <!ENTITY EmptySmallSquare “&#x025FB;” ><!–empty small square –> <!ENTITY EmptyVerySmallSquare “&#x025AB;” ><!–empty small square –> <!ENTITY eopf “%plane1D;556;” ><!– –> <!ENTITY Equal “&#x02A75;” ><!–two consecutive equal signs –> <!ENTITY FilledSmallSquare “&#x025FC;” ><!–filled small square –> <!ENTITY FilledVerySmallSquare “&#x025AA;” ><!–filled very small square –> <!ENTITY fopf “%plane1D;557;” ><!– –> <!ENTITY gopf “%plane1D;558;” ><!– –> <!ENTITY GreaterGreater “&#x02AA2;” ><!–alias for GT –> <!ENTITY Hat “&#x0005E;” ><!–circumflex accent –> <!ENTITY hopf “%plane1D;559;” ><!– –> <!ENTITY HorizontalLine “&#x02500;” ><!–short horizontal line –> <!ENTITY ic “&#x02063;” ><!–short form of &InvisibleComma; –> <!ENTITY ii “&#x02148;” ><!–i for use as a square root of -1 –> <!ENTITY iopf “%plane1D;55A;” ><!– –> <!ENTITY it “&#x02062;” ><!–marks multiplication when it is understood without a mark –> <!ENTITY jopf “%plane1D;55B;” ><!– –> <!ENTITY kopf “%plane1D;55C;” ><!– –> <!ENTITY larrb “&#x021E4;” ><!–leftwards arrow to bar –> <!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 LeftTeeVector “&#x0295A;” ><!–left-up harpoon from bar –> <!ENTITY LeftTriangleBar “&#x029CF;” ><!–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 lopf “%plane1D;55D;” ><!– –> <!ENTITY mapstodown “&#x021A7;” ><!–downwards arrow from bar –> <!ENTITY mapstoleft “&#x021A4;” ><!–leftwards arrow from bar –> <!ENTITY mapstoup “&#x021A5;” ><!–upwards arrow from bar –> <!ENTITY MediumSpace “&#x0205F;” ><!–space of width 4/18 em –> <!ENTITY mopf “%plane1D;55E;” ><!– –> <!ENTITY nbump “&#x0224E;&#x00338;” ><!–not bumpy equals –> <!ENTITY nbumpe “&#x0224F;&#x00338;” ><!–not bumpy single equals –> <!ENTITY nesim “&#x02242;&#x00338;” ><!–not equal or similar –> <!ENTITY NewLine “&#x0000A;” ><!–force a line break; line feed –> <!ENTITY NoBreak “&#x02060;” ><!–never break line here –> <!ENTITY nopf “%plane1D;55F;” ><!– –> <!ENTITY NotCupCap “&#x0226D;” ><!–alias for &nasymp; –> <!ENTITY NotHumpEqual “&#x0224F;&#x00338;” ><!–alias for &nbumpe; –> <!ENTITY NotLeftTriangleBar “&#x029CF;&#x00338;” ><!–not left triangle, vertical bar –> <!ENTITY NotNestedGreaterGreater “&#x02AA2;&#x00338;” ><!–not double greater-than sign –> <!ENTITY NotNestedLessLess “&#x02AA1;&#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 oopf “%plane1D;560;” ><!– –> <!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 popf “%plane1D;561;” ><!– –> <!ENTITY Product “&#x0220F;” ><!–alias for &prod; –> <!ENTITY qopf “%plane1D;562;” ><!– –> <!ENTITY rarrb “&#x021E5;” ><!–leftwards arrow to bar –> <!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 ropf “%plane1D;563;” ><!– –> <!ENTITY RoundImplies “&#x02970;” ><!–round implies –> <!ENTITY RuleDelayed “&#x029F4;” ><!–rule-delayed (colon right arrow) –> <!ENTITY sopf “%plane1D;564;” ><!– –> <!ENTITY Tab “&#x00009;” ><!–tabulator stop; horizontal tabulation –> <!ENTITY ThickSpace “&#x02009;&#x0200A;&#x0200A;” ><!–space of width 5/18 em –> <!ENTITY topf “%plane1D;565;” ><!– –> <!ENTITY UnderBar “&#x00332;” ><!–combining low line –> <!ENTITY UnderBrace “&#x0FE38;” ><!–under brace –> <!ENTITY UnderBracket “&#x023B5;” ><!–under bracket –> <!ENTITY UnderParenthesis “&#x0FE36;” ><!–under parenthesis –> <!ENTITY uopf “%plane1D;566;” ><!– –> <!ENTITY UpArrowBar “&#x02912;” ><!–up arrow to bar –> <!ENTITY Upsilon “&#x003A5;” ><!–ISOGRK1 Ugr, HTML4 Upsilon –> <!ENTITY VerticalLine “&#x0007C;” ><!–alias ISONUM verbar –> <!ENTITY VerticalSeparator “&#x02758;” ><!–vertical separating operator –> <!ENTITY vopf “%plane1D;567;” ><!– –> <!ENTITY wopf “%plane1D;568;” ><!– –> <!ENTITY xopf “%plane1D;569;” ><!– –> <!ENTITY yopf “%plane1D;56A;” ><!– –> <!ENTITY ZeroWidthSpace “&#x0200B;” ><!–zero width space –> <!ENTITY zopf “%plane1D;56B;” ><!– –>