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<!--
     File xhtml1-symbol.ent produced by the XSL script entities.xsl
     from input data in unicode.xml.

     Copyright 1998 - 2010 W3C.

     Use and distribution of this code are permitted under the terms of the
     W3C Software Notice and License.
     http://www.w3.org/Consortium/Legal/2002/copyright-software-20021231.html

     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 5.x.

-->


<!-- 

       Public identifier: -//W3C//ENTITIES Symbol for HTML//EN//XML
       System identifier: http://www.w3.org/2003/entities/2007/xhtml1-symbol.ent

     The public identifier should always be used verbatim.
     The system identifier may be changed to suit local requirements.

     Typical invocation:

       <!ENTITY % xhtml1-symbol PUBLIC
         "-//W3C//ENTITIES Symbol for HTML//EN//XML"
         "http://www.w3.org/2003/entities/2007/xhtml1-symbol.ent"
       >
       %xhtml1-symbol;

-->

<!ENTITY alefsym          "&#x02135;" ><!--ALEF SYMBOL -->
<!ENTITY alpha            "&#x003B1;" ><!--GREEK SMALL LETTER ALPHA -->
<!ENTITY Alpha            "&#x00391;" ><!--GREEK CAPITAL LETTER ALPHA -->
<!ENTITY and              "&#x02227;" ><!--LOGICAL AND -->
<!ENTITY ang              "&#x02220;" ><!--ANGLE -->
<!ENTITY asymp            "&#x02248;" ><!--ALMOST EQUAL TO -->
<!ENTITY beta             "&#x003B2;" ><!--GREEK SMALL LETTER BETA -->
<!ENTITY Beta             "&#x00392;" ><!--GREEK CAPITAL LETTER BETA -->
<!ENTITY bull             "&#x02022;" ><!--BULLET -->
<!ENTITY cap              "&#x02229;" ><!--INTERSECTION -->
<!ENTITY chi              "&#x003C7;" ><!--GREEK SMALL LETTER CHI -->
<!ENTITY Chi              "&#x003A7;" ><!--GREEK CAPITAL LETTER CHI -->
<!ENTITY clubs            "&#x02663;" ><!--BLACK CLUB SUIT -->
<!ENTITY cong             "&#x02245;" ><!--APPROXIMATELY EQUAL TO -->
<!ENTITY crarr            "&#x021B5;" ><!--DOWNWARDS ARROW WITH CORNER LEFTWARDS -->
<!ENTITY cup              "&#x0222A;" ><!--UNION -->
<!ENTITY darr             "&#x02193;" ><!--DOWNWARDS ARROW -->
<!ENTITY dArr             "&#x021D3;" ><!--DOWNWARDS DOUBLE ARROW -->
<!ENTITY delta            "&#x003B4;" ><!--GREEK SMALL LETTER DELTA -->
<!ENTITY Delta            "&#x00394;" ><!--GREEK CAPITAL LETTER DELTA -->
<!ENTITY diams            "&#x02666;" ><!--BLACK DIAMOND SUIT -->
<!ENTITY empty            "&#x02205;" ><!--EMPTY SET -->
<!ENTITY epsilon          "&#x003B5;" ><!--GREEK SMALL LETTER EPSILON -->
<!ENTITY Epsilon          "&#x00395;" ><!--GREEK CAPITAL LETTER EPSILON -->
<!ENTITY equiv            "&#x02261;" ><!--IDENTICAL TO -->
<!ENTITY eta              "&#x003B7;" ><!--GREEK SMALL LETTER ETA -->
<!ENTITY Eta              "&#x00397;" ><!--GREEK CAPITAL LETTER ETA -->
<!ENTITY exist            "&#x02203;" ><!--THERE EXISTS -->
<!ENTITY fnof             "&#x00192;" ><!--LATIN SMALL LETTER F WITH HOOK -->
<!ENTITY forall           "&#x02200;" ><!--FOR ALL -->
<!ENTITY frasl            "&#x02044;" ><!--FRACTION SLASH -->
<!ENTITY gamma            "&#x003B3;" ><!--GREEK SMALL LETTER GAMMA -->
<!ENTITY Gamma            "&#x00393;" ><!--GREEK CAPITAL LETTER GAMMA -->
<!ENTITY ge               "&#x02265;" ><!--GREATER-THAN OR EQUAL TO -->
<!ENTITY harr             "&#x02194;" ><!--LEFT RIGHT ARROW -->
<!ENTITY hArr             "&#x021D4;" ><!--LEFT RIGHT DOUBLE ARROW -->
<!ENTITY hearts           "&#x02665;" ><!--BLACK HEART SUIT -->
<!ENTITY hellip           "&#x02026;" ><!--HORIZONTAL ELLIPSIS -->
<!ENTITY image            "&#x02111;" ><!--BLACK-LETTER CAPITAL I -->
<!ENTITY infin            "&#x0221E;" ><!--INFINITY -->
<!ENTITY int              "&#x0222B;" ><!--INTEGRAL -->
<!ENTITY iota             "&#x003B9;" ><!--GREEK SMALL LETTER IOTA -->
<!ENTITY Iota             "&#x00399;" ><!--GREEK CAPITAL LETTER IOTA -->
<!ENTITY isin             "&#x02208;" ><!--ELEMENT OF -->
<!ENTITY kappa            "&#x003BA;" ><!--GREEK SMALL LETTER KAPPA -->
<!ENTITY Kappa            "&#x0039A;" ><!--GREEK CAPITAL LETTER KAPPA -->
<!ENTITY lambda           "&#x003BB;" ><!--GREEK SMALL LETTER LAMDA -->
<!ENTITY Lambda           "&#x0039B;" ><!--GREEK CAPITAL LETTER LAMDA -->
<!ENTITY lang             "&#x027E8;" ><!--MATHEMATICAL LEFT ANGLE BRACKET -->
<!ENTITY larr             "&#x02190;" ><!--LEFTWARDS ARROW -->
<!ENTITY lArr             "&#x021D0;" ><!--LEFTWARDS DOUBLE ARROW -->
<!ENTITY lceil            "&#x02308;" ><!--LEFT CEILING -->
<!ENTITY le               "&#x02264;" ><!--LESS-THAN OR EQUAL TO -->
<!ENTITY lfloor           "&#x0230A;" ><!--LEFT FLOOR -->
<!ENTITY lowast           "&#x02217;" ><!--ASTERISK OPERATOR -->
<!ENTITY loz              "&#x025CA;" ><!--LOZENGE -->
<!ENTITY minus            "&#x02212;" ><!--MINUS SIGN -->
<!ENTITY mu               "&#x003BC;" ><!--GREEK SMALL LETTER MU -->
<!ENTITY Mu               "&#x0039C;" ><!--GREEK CAPITAL LETTER MU -->
<!ENTITY nabla            "&#x02207;" ><!--NABLA -->
<!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               "&#x003BD;" ><!--GREEK SMALL LETTER NU -->
<!ENTITY Nu               "&#x0039D;" ><!--GREEK CAPITAL LETTER NU -->
<!ENTITY oline            "&#x0203E;" ><!--OVERLINE -->
<!ENTITY omega            "&#x003C9;" ><!--GREEK SMALL LETTER OMEGA -->
<!ENTITY Omega            "&#x003A9;" ><!--GREEK CAPITAL LETTER OMEGA -->
<!ENTITY omicron          "&#x003BF;" ><!--GREEK SMALL LETTER OMICRON -->
<!ENTITY Omicron          "&#x0039F;" ><!--GREEK CAPITAL LETTER OMICRON -->
<!ENTITY oplus            "&#x02295;" ><!--CIRCLED PLUS -->
<!ENTITY or               "&#x02228;" ><!--LOGICAL OR -->
<!ENTITY otimes           "&#x02297;" ><!--CIRCLED TIMES -->
<!ENTITY part             "&#x02202;" ><!--PARTIAL DIFFERENTIAL -->
<!ENTITY perp             "&#x022A5;" ><!--UP TACK -->
<!ENTITY phi              "&#x003C6;" ><!--GREEK SMALL LETTER PHI -->
<!ENTITY Phi              "&#x003A6;" ><!--GREEK CAPITAL LETTER PHI -->
<!ENTITY pi               "&#x003C0;" ><!--GREEK SMALL LETTER PI -->
<!ENTITY Pi               "&#x003A0;" ><!--GREEK CAPITAL LETTER PI -->
<!ENTITY piv              "&#x003D6;" ><!--GREEK PI SYMBOL -->
<!ENTITY prime            "&#x02032;" ><!--PRIME -->
<!ENTITY Prime            "&#x02033;" ><!--DOUBLE PRIME -->
<!ENTITY prod             "&#x0220F;" ><!--N-ARY PRODUCT -->
<!ENTITY prop             "&#x0221D;" ><!--PROPORTIONAL TO -->
<!ENTITY psi              "&#x003C8;" ><!--GREEK SMALL LETTER PSI -->
<!ENTITY Psi              "&#x003A8;" ><!--GREEK CAPITAL LETTER PSI -->
<!ENTITY radic            "&#x0221A;" ><!--SQUARE ROOT -->
<!ENTITY rang             "&#x027E9;" ><!--MATHEMATICAL RIGHT ANGLE BRACKET -->
<!ENTITY rarr             "&#x02192;" ><!--RIGHTWARDS ARROW -->
<!ENTITY rArr             "&#x021D2;" ><!--RIGHTWARDS DOUBLE ARROW -->
<!ENTITY rceil            "&#x02309;" ><!--RIGHT CEILING -->
<!ENTITY real             "&#x0211C;" ><!--BLACK-LETTER CAPITAL R -->
<!ENTITY rfloor           "&#x0230B;" ><!--RIGHT FLOOR -->
<!ENTITY rho              "&#x003C1;" ><!--GREEK SMALL LETTER RHO -->
<!ENTITY Rho              "&#x003A1;" ><!--GREEK CAPITAL LETTER RHO -->
<!ENTITY sdot             "&#x022C5;" ><!--DOT OPERATOR -->
<!ENTITY sigma            "&#x003C3;" ><!--GREEK SMALL LETTER SIGMA -->
<!ENTITY Sigma            "&#x003A3;" ><!--GREEK CAPITAL LETTER SIGMA -->
<!ENTITY sigmaf           "&#x003C2;" ><!--GREEK SMALL LETTER FINAL SIGMA -->
<!ENTITY sim              "&#x0223C;" ><!--TILDE OPERATOR -->
<!ENTITY spades           "&#x02660;" ><!--BLACK SPADE SUIT -->
<!ENTITY sub              "&#x02282;" ><!--SUBSET OF -->
<!ENTITY sube             "&#x02286;" ><!--SUBSET OF OR EQUAL TO -->
<!ENTITY sum              "&#x02211;" ><!--N-ARY SUMMATION -->
<!ENTITY sup              "&#x02283;" ><!--SUPERSET OF -->
<!ENTITY supe             "&#x02287;" ><!--SUPERSET OF OR EQUAL TO -->
<!ENTITY tau              "&#x003C4;" ><!--GREEK SMALL LETTER TAU -->
<!ENTITY Tau              "&#x003A4;" ><!--GREEK CAPITAL LETTER TAU -->
<!ENTITY there4           "&#x02234;" ><!--THEREFORE -->
<!ENTITY theta            "&#x003B8;" ><!--GREEK SMALL LETTER THETA -->
<!ENTITY Theta            "&#x00398;" ><!--GREEK CAPITAL LETTER THETA -->
<!ENTITY thetasym         "&#x003D1;" ><!--GREEK THETA SYMBOL -->
<!ENTITY trade            "&#x02122;" ><!--TRADE MARK SIGN -->
<!ENTITY uarr             "&#x02191;" ><!--UPWARDS ARROW -->
<!ENTITY uArr             "&#x021D1;" ><!--UPWARDS DOUBLE ARROW -->
<!ENTITY upsih            "&#x003D2;" ><!--GREEK UPSILON WITH HOOK SYMBOL -->
<!ENTITY upsilon          "&#x003C5;" ><!--GREEK SMALL LETTER UPSILON -->
<!ENTITY Upsilon          "&#x003A5;" ><!--GREEK CAPITAL LETTER UPSILON -->
<!ENTITY weierp           "&#x02118;" ><!--SCRIPT CAPITAL P -->
<!ENTITY xi               "&#x003BE;" ><!--GREEK SMALL LETTER XI -->
<!ENTITY Xi               "&#x0039E;" ><!--GREEK CAPITAL LETTER XI -->
<!ENTITY zeta             "&#x003B6;" ><!--GREEK SMALL LETTER ZETA -->
<!ENTITY Zeta             "&#x00396;" ><!--GREEK CAPITAL LETTER ZETA -->