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<!--
     File symbol.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 alefsym          "&#x02135;" ><!-- -->
<!ENTITY Alpha            "&#x00391;" ><!-- -->
<!ENTITY alpha            "&#x003B1;" ><!--greek small letter alpha -->
<!ENTITY and              "&#x02227;" ><!--logical and = wedge -->
<!ENTITY ang              "&#x02220;" ><!--angle -->
<!ENTITY asymp            "&#x02248;" ><!--almost equal to = asymptotic to -->
<!ENTITY Beta             "&#x00392;" ><!-- -->
<!ENTITY beta             "&#x003B2;" ><!--greek small letter beta -->
<!ENTITY bull             "&#x02022;" ><!--bullet = black small circle -->
<!ENTITY cap              "&#x02229;" ><!--intersection = cap -->
<!ENTITY Chi              "&#x003A7;" ><!-- -->
<!ENTITY chi              "&#x003C7;" ><!--greek small letter chi -->
<!ENTITY clubs            "&#x02663;" ><!--black club suit = shamrock -->
<!ENTITY cong             "&#x02245;" ><!--approximately equal to -->
<!ENTITY crarr            "&#x021B5;" ><!-- -->
<!ENTITY cup              "&#x0222A;" ><!--union = cup -->
<!ENTITY dArr             "&#x021D3;" ><!--downwards double arrow -->
<!ENTITY darr             "&#x02193;" ><!--downwards arrow -->
<!ENTITY Delta            "&#x00394;" ><!--greek capital letter delta -->
<!ENTITY delta            "&#x003B4;" ><!--greek small letter delta -->
<!ENTITY diams            "&#x02666;" ><!--black diamond suit -->
<!ENTITY empty            "&#x02205;" ><!--empty set = null set = diameter -->
<!ENTITY Epsilon          "&#x00395;" ><!-- -->
<!ENTITY epsilon          "&#x003B5;" ><!-- -->
<!ENTITY equiv            "&#x02261;" ><!--identical to -->
<!ENTITY Eta              "&#x00397;" ><!-- -->
<!ENTITY eta              "&#x003B7;" ><!--greek small letter eta -->
<!ENTITY exist            "&#x02203;" ><!--there exists -->
<!ENTITY fnof             "&#x00192;" ><!--latin small f with hook = function = florin -->
<!ENTITY forall           "&#x02200;" ><!--for all -->
<!ENTITY frasl            "&#x02044;" ><!-- -->
<!ENTITY Gamma            "&#x00393;" ><!--greek capital letter gamma -->
<!ENTITY gamma            "&#x003B3;" ><!--greek small letter gamma -->
<!ENTITY ge               "&#x02265;" ><!--greater-than or equal to -->
<!ENTITY hArr             "&#x021D4;" ><!--left right double arrow -->
<!ENTITY harr             "&#x02194;" ><!--left right arrow -->
<!ENTITY hearts           "&#x02665;" ><!--black heart suit = valentine -->
<!ENTITY hellip           "&#x02026;" ><!--horizontal ellipsis = three dot leader -->
<!ENTITY image            "&#x02111;" ><!--blackletter capital I = imaginary part -->
<!ENTITY infin            "&#x0221E;" ><!--infinity -->
<!ENTITY int              "&#x0222B;" ><!--integral -->
<!ENTITY Iota             "&#x00399;" ><!-- -->
<!ENTITY iota             "&#x003B9;" ><!--greek small letter iota -->
<!ENTITY isin             "&#x02208;" ><!--element of -->
<!ENTITY Kappa            "&#x0039A;" ><!-- -->
<!ENTITY kappa            "&#x003BA;" ><!--greek small letter kappa -->
<!ENTITY Lambda           "&#x0039B;" ><!--greek capital letter lambda -->
<!ENTITY lambda           "&#x003BB;" ><!--greek small letter lambda -->
<!ENTITY lang             "&#x02329;" ><!--left-pointing angle bracket = bra -->
<!ENTITY lArr             "&#x021D0;" ><!--leftwards double arrow -->
<!ENTITY larr             "&#x02190;" ><!--leftwards arrow -->
<!ENTITY lceil            "&#x02308;" ><!--left ceiling = apl upstile -->
<!ENTITY le               "&#x02264;" ><!--less-than or equal to -->
<!ENTITY lfloor           "&#x0230A;" ><!--left floor = apl downstile -->
<!ENTITY lowast           "&#x02217;" ><!--asterisk operator -->
<!ENTITY loz              "&#x025CA;" ><!--lozenge -->
<!ENTITY minus            "&#x02212;" ><!--minus sign -->
<!ENTITY Mu               "&#x0039C;" ><!-- -->
<!ENTITY mu               "&#x003BC;" ><!--greek small letter mu -->
<!ENTITY nabla            "&#x02207;" ><!--nabla = backward difference -->
<!ENTITY ne               "&#x02260;" ><!--not equal to -->
<!ENTITY ni               "&#x0220B;" ><!--contains as member -->
<!ENTITY notin            "&#x02209;" ><!--not an element of -->
<!ENTITY nsub             "&#x02284;" ><!--not a subset of -->
<!ENTITY Nu               "&#x0039D;" ><!-- -->
<!ENTITY nu               "&#x003BD;" ><!--greek small letter nu -->
<!ENTITY oline            "&#x0203E;" ><!-- -->
<!ENTITY Omega            "&#x003A9;" ><!--greek capital letter omega -->
<!ENTITY omega            "&#x003C9;" ><!--greek small letter omega -->
<!ENTITY Omicron          "&#x0039F;" ><!-- -->
<!ENTITY omicron          "&#x003BF;" ><!--greek small letter omicron -->
<!ENTITY oplus            "&#x02295;" ><!--circled plus = direct sum -->
<!ENTITY or               "&#x02228;" ><!--logical or = vee -->
<!ENTITY otimes           "&#x02297;" ><!--circled times = vector product -->
<!ENTITY part             "&#x02202;" ><!--partial differential -->
<!ENTITY perp             "&#x022A5;" ><!--up tack = orthogonal to = perpendicular -->
<!ENTITY Phi              "&#x003A6;" ><!--greek capital letter phi -->
<!ENTITY phi              "&#x003D5;" ><!--greek small letter phi -->
<!ENTITY Pi               "&#x003A0;" ><!--greek capital letter pi -->
<!ENTITY pi               "&#x003C0;" ><!--greek small letter pi -->
<!ENTITY piv              "&#x003D6;" ><!--greek pi symbol -->
<!ENTITY Prime            "&#x02033;" ><!--double prime = seconds = inches -->
<!ENTITY prime            "&#x02032;" ><!--prime = minutes = feet -->
<!ENTITY prod             "&#x0220F;" ><!--n-ary product = product sign -->
<!ENTITY prop             "&#x0221D;" ><!--proportional to -->
<!ENTITY Psi              "&#x003A8;" ><!--greek capital letter psi -->
<!ENTITY psi              "&#x003C8;" ><!--greek small letter psi -->
<!ENTITY radic            "&#x0221A;" ><!--square root = radical sign -->
<!ENTITY rang             "&#x0232A;" ><!--right-pointing angle bracket = ket -->
<!ENTITY rArr             "&#x021D2;" ><!--rightwards double arrow -->
<!ENTITY rarr             "&#x02192;" ><!--rightwards arrow -->
<!ENTITY rceil            "&#x02309;" ><!--right ceiling -->
<!ENTITY real             "&#x0211C;" ><!--blackletter capital R = real part symbol -->
<!ENTITY rfloor           "&#x0230B;" ><!--right floor -->
<!ENTITY Rho              "&#x003A1;" ><!-- -->
<!ENTITY rho              "&#x003C1;" ><!--greek small letter rho -->
<!ENTITY sdot             "&#x022C5;" ><!--dot operator -->
<!ENTITY Sigma            "&#x003A3;" ><!--greek capital letter sigma -->
<!ENTITY sigma            "&#x003C3;" ><!--greek small letter sigma -->
<!ENTITY sigmaf           "&#x003C2;" ><!-- -->
<!ENTITY sim              "&#x0223C;" ><!--tilde operator = varies with = similar to -->
<!ENTITY spades           "&#x02660;" ><!--black spade suit -->
<!ENTITY sub              "&#x02282;" ><!--subset of -->
<!ENTITY sube             "&#x02286;" ><!--subset of or equal to -->
<!ENTITY sum              "&#x02211;" ><!--n-ary sumation -->
<!ENTITY sup              "&#x02283;" ><!--superset of -->
<!ENTITY supe             "&#x02287;" ><!--superset of or equal to -->
<!ENTITY Tau              "&#x003A4;" ><!-- -->
<!ENTITY tau              "&#x003C4;" ><!--greek small letter tau -->
<!ENTITY there4           "&#x02234;" ><!--therefore -->
<!ENTITY Theta            "&#x00398;" ><!--greek capital letter theta -->
<!ENTITY theta            "&#x003B8;" ><!--greek small letter theta -->
<!ENTITY thetasym         "&#x003D1;" ><!--greek small letter theta symbol -->
<!ENTITY trade            "&#x02122;" ><!--trade mark sign -->
<!ENTITY uArr             "&#x021D1;" ><!--upwards double arrow -->
<!ENTITY uarr             "&#x02191;" ><!--upwards arrow -->
<!ENTITY upsih            "&#x003D2;" ><!--greek upsilon with hook symbol -->
<!ENTITY Upsilon          "&#x003A5;" ><!--greek capital letter upsilon -->
<!ENTITY upsilon          "&#x003C5;" ><!-- -->
<!ENTITY weierp           "&#x02118;" ><!--script capital P = power set = Weierstrass p -->
<!ENTITY Xi               "&#x0039E;" ><!--greek capital letter xi -->
<!ENTITY xi               "&#x003BE;" ><!--greek small letter xi -->
<!ENTITY Zeta             "&#x00396;" ><!-- -->
<!ENTITY zeta             "&#x003B6;" ><!--greek small letter zeta -->