
<!--
     File isotech.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.

     Entity names in this file are derived from files carrying the
     following notice:

     (C) International Organization for Standardization 1991
     Permission to copy in any form is granted for use with
     conforming SGML systems and applications as defined in
     ISO 8879, provided this notice is included in all copies.

-->


<!-- 

       Public identifier: -//W3C//ENTITIES General Technical//EN//XML
       System identifier: http://www.w3.org/2003/entities/2007/isotech.ent

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

     Typical invocation:

       <!ENTITY % isotech PUBLIC
         "-//W3C//ENTITIES General Technical//EN//XML"
         "http://www.w3.org/2003/entities/2007/isotech.ent"
       >
       %isotech;

-->

<!ENTITY acd              "&#x0223F;" ><!--SINE WAVE -->
<!ENTITY aleph            "&#x02135;" ><!--ALEF SYMBOL -->
<!ENTITY and              "&#x02227;" ><!--LOGICAL AND -->
<!ENTITY And              "&#x02A53;" ><!--DOUBLE LOGICAL AND -->
<!ENTITY andand           "&#x02A55;" ><!--TWO INTERSECTING LOGICAL AND -->
<!ENTITY andd             "&#x02A5C;" ><!--LOGICAL AND WITH HORIZONTAL DASH -->
<!ENTITY andslope         "&#x02A58;" ><!--SLOPING LARGE AND -->
<!ENTITY andv             "&#x02A5A;" ><!--LOGICAL AND WITH MIDDLE STEM -->
<!ENTITY angrt            "&#x0221F;" ><!--RIGHT ANGLE -->
<!ENTITY angsph           "&#x02222;" ><!--SPHERICAL ANGLE -->
<!ENTITY angst            "&#x000C5;" ><!--LATIN CAPITAL LETTER A WITH RING ABOVE -->
<!ENTITY ap               "&#x02248;" ><!--ALMOST EQUAL TO -->
<!ENTITY apacir           "&#x02A6F;" ><!--ALMOST EQUAL TO WITH CIRCUMFLEX ACCENT -->
<!ENTITY awconint         "&#x02233;" ><!--ANTICLOCKWISE CONTOUR INTEGRAL -->
<!ENTITY awint            "&#x02A11;" ><!--ANTICLOCKWISE INTEGRATION -->
<!ENTITY becaus           "&#x02235;" ><!--BECAUSE -->
<!ENTITY bernou           "&#x0212C;" ><!--SCRIPT CAPITAL B -->
<!ENTITY bne              "&#x0003D;&#x020E5;" ><!--EQUALS SIGN with reverse slash -->
<!ENTITY bnequiv          "&#x02261;&#x020E5;" ><!--IDENTICAL TO with reverse slash -->
<!ENTITY bnot             "&#x02310;" ><!--REVERSED NOT SIGN -->
<!ENTITY bNot             "&#x02AED;" ><!--REVERSED DOUBLE STROKE NOT SIGN -->
<!ENTITY bottom           "&#x022A5;" ><!--UP TACK -->
<!ENTITY cap              "&#x02229;" ><!--INTERSECTION -->
<!ENTITY Cconint          "&#x02230;" ><!--VOLUME INTEGRAL -->
<!ENTITY cirfnint         "&#x02A10;" ><!--CIRCULATION FUNCTION -->
<!ENTITY compfn           "&#x02218;" ><!--RING OPERATOR -->
<!ENTITY cong             "&#x02245;" ><!--APPROXIMATELY EQUAL TO -->
<!ENTITY conint           "&#x0222E;" ><!--CONTOUR INTEGRAL -->
<!ENTITY Conint           "&#x0222F;" ><!--SURFACE INTEGRAL -->
<!ENTITY ctdot            "&#x022EF;" ><!--MIDLINE HORIZONTAL ELLIPSIS -->
<!ENTITY cup              "&#x0222A;" ><!--UNION -->
<!ENTITY cwconint         "&#x02232;" ><!--CLOCKWISE CONTOUR INTEGRAL -->
<!ENTITY cwint            "&#x02231;" ><!--CLOCKWISE INTEGRAL -->
<!ENTITY cylcty           "&#x0232D;" ><!--CYLINDRICITY -->
<!ENTITY disin            "&#x022F2;" ><!--ELEMENT OF WITH LONG HORIZONTAL STROKE -->
<!ENTITY Dot              "&#x000A8;" ><!--DIAERESIS -->
<!ENTITY DotDot           " &#x020DC;" ><!--COMBINING FOUR DOTS ABOVE -->
<!ENTITY dsol             "&#x029F6;" ><!--SOLIDUS WITH OVERBAR -->
<!ENTITY dtdot            "&#x022F1;" ><!--DOWN RIGHT DIAGONAL ELLIPSIS -->
<!ENTITY dwangle          "&#x029A6;" ><!--OBLIQUE ANGLE OPENING UP -->
<!ENTITY elinters         "&#x023E7;" ><!--ELECTRICAL INTERSECTION -->
<!ENTITY epar             "&#x022D5;" ><!--EQUAL AND PARALLEL TO -->
<!ENTITY eparsl           "&#x029E3;" ><!--EQUALS SIGN AND SLANTED PARALLEL -->
<!ENTITY equiv            "&#x02261;" ><!--IDENTICAL TO -->
<!ENTITY eqvparsl         "&#x029E5;" ><!--IDENTICAL TO AND SLANTED PARALLEL -->
<!ENTITY exist            "&#x02203;" ><!--THERE EXISTS -->
<!ENTITY fltns            "&#x025B1;" ><!--WHITE PARALLELOGRAM -->
<!ENTITY fnof             "&#x00192;" ><!--LATIN SMALL LETTER F WITH HOOK -->
<!ENTITY forall           "&#x02200;" ><!--FOR ALL -->
<!ENTITY fpartint         "&#x02A0D;" ><!--FINITE PART INTEGRAL -->
<!ENTITY ge               "&#x02265;" ><!--GREATER-THAN OR EQUAL TO -->
<!ENTITY hamilt           "&#x0210B;" ><!--SCRIPT CAPITAL H -->
<!ENTITY iff              "&#x021D4;" ><!--LEFT RIGHT DOUBLE ARROW -->
<!ENTITY iinfin           "&#x029DC;" ><!--INCOMPLETE INFINITY -->
<!ENTITY imped            "&#x001B5;" ><!--LATIN CAPITAL LETTER Z WITH STROKE -->
<!ENTITY infin            "&#x0221E;" ><!--INFINITY -->
<!ENTITY infintie         "&#x029DD;" ><!--TIE OVER INFINITY -->
<!ENTITY int              "&#x0222B;" ><!--INTEGRAL -->
<!ENTITY Int              "&#x0222C;" ><!--DOUBLE INTEGRAL -->
<!ENTITY intlarhk         "&#x02A17;" ><!--INTEGRAL WITH LEFTWARDS ARROW WITH HOOK -->
<!ENTITY isin             "&#x02208;" ><!--ELEMENT OF -->
<!ENTITY isindot          "&#x022F5;" ><!--ELEMENT OF WITH DOT ABOVE -->
<!ENTITY isinE            "&#x022F9;" ><!--ELEMENT OF WITH TWO HORIZONTAL STROKES -->
<!ENTITY isins            "&#x022F4;" ><!--SMALL ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE -->
<!ENTITY isinsv           "&#x022F3;" ><!--ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE -->
<!ENTITY isinv            "&#x02208;" ><!--ELEMENT OF -->
<!ENTITY lagran           "&#x02112;" ><!--SCRIPT CAPITAL L -->
<!ENTITY lang             "&#x027E8;" ><!--MATHEMATICAL LEFT ANGLE BRACKET -->
<!ENTITY Lang             "&#x027EA;" ><!--MATHEMATICAL LEFT DOUBLE ANGLE BRACKET -->
<!ENTITY lArr             "&#x021D0;" ><!--LEFTWARDS DOUBLE ARROW -->
<!ENTITY lbbrk            "&#x02772;" ><!--LIGHT LEFT TORTOISE SHELL BRACKET ORNAMENT -->
<!ENTITY le               "&#x02264;" ><!--LESS-THAN OR EQUAL TO -->
<!ENTITY loang            "&#x027EC;" ><!--MATHEMATICAL LEFT WHITE TORTOISE SHELL BRACKET -->
<!ENTITY lobrk            "&#x027E6;" ><!--MATHEMATICAL LEFT WHITE SQUARE BRACKET -->
<!ENTITY lopar            "&#x02985;" ><!--LEFT WHITE PARENTHESIS -->
<!ENTITY lowast           "&#x02217;" ><!--ASTERISK OPERATOR -->
<!ENTITY minus            "&#x02212;" ><!--MINUS SIGN -->
<!ENTITY mnplus           "&#x02213;" ><!--MINUS-OR-PLUS SIGN -->
<!ENTITY nabla            "&#x02207;" ><!--NABLA -->
<!ENTITY ne               "&#x02260;" ><!--NOT EQUAL TO -->
<!ENTITY nedot            "&#x02250;&#x00338;" ><!--APPROACHES THE LIMIT with slash -->
<!ENTITY nhpar            "&#x02AF2;" ><!--PARALLEL WITH HORIZONTAL STROKE -->
<!ENTITY ni               "&#x0220B;" ><!--CONTAINS AS MEMBER -->
<!ENTITY nis              "&#x022FC;" ><!--SMALL CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE -->
<!ENTITY nisd             "&#x022FA;" ><!--CONTAINS WITH LONG HORIZONTAL STROKE -->
<!ENTITY niv              "&#x0220B;" ><!--CONTAINS AS MEMBER -->
<!ENTITY Not              "&#x02AEC;" ><!--DOUBLE STROKE NOT SIGN -->
<!ENTITY notin            "&#x02209;" ><!--NOT AN ELEMENT OF -->
<!ENTITY notindot         "&#x022F5;&#x00338;" ><!--ELEMENT OF WITH DOT ABOVE with slash -->
<!ENTITY notinE           "&#x022F9;&#x00338;" ><!--ELEMENT OF WITH TWO HORIZONTAL STROKES with slash -->
<!ENTITY notinva          "&#x02209;" ><!--NOT AN ELEMENT OF -->
<!ENTITY notinvb          "&#x022F7;" ><!--SMALL ELEMENT OF WITH OVERBAR -->
<!ENTITY notinvc          "&#x022F6;" ><!--ELEMENT OF WITH OVERBAR -->
<!ENTITY notni            "&#x0220C;" ><!--DOES NOT CONTAIN AS MEMBER -->
<!ENTITY notniva          "&#x0220C;" ><!--DOES NOT CONTAIN AS MEMBER -->
<!ENTITY notnivb          "&#x022FE;" ><!--SMALL CONTAINS WITH OVERBAR -->
<!ENTITY notnivc          "&#x022FD;" ><!--CONTAINS WITH OVERBAR -->
<!ENTITY nparsl           "&#x02AFD;&#x020E5;" ><!--DOUBLE SOLIDUS OPERATOR with reverse slash -->
<!ENTITY npart            "&#x02202;&#x00338;" ><!--PARTIAL DIFFERENTIAL with slash -->
<!ENTITY npolint          "&#x02A14;" ><!--LINE INTEGRATION NOT INCLUDING THE POLE -->
<!ENTITY nvinfin          "&#x029DE;" ><!--INFINITY NEGATED WITH VERTICAL BAR -->
<!ENTITY olcross          "&#x029BB;" ><!--CIRCLE WITH SUPERIMPOSED X -->
<!ENTITY or               "&#x02228;" ><!--LOGICAL OR -->
<!ENTITY Or               "&#x02A54;" ><!--DOUBLE LOGICAL OR -->
<!ENTITY ord              "&#x02A5D;" ><!--LOGICAL OR WITH HORIZONTAL DASH -->
<!ENTITY order            "&#x02134;" ><!--SCRIPT SMALL O -->
<!ENTITY oror             "&#x02A56;" ><!--TWO INTERSECTING LOGICAL OR -->
<!ENTITY orslope          "&#x02A57;" ><!--SLOPING LARGE OR -->
<!ENTITY orv              "&#x02A5B;" ><!--LOGICAL OR WITH MIDDLE STEM -->
<!ENTITY par              "&#x02225;" ><!--PARALLEL TO -->
<!ENTITY parsl            "&#x02AFD;" ><!--DOUBLE SOLIDUS OPERATOR -->
<!ENTITY part             "&#x02202;" ><!--PARTIAL DIFFERENTIAL -->
<!ENTITY permil           "&#x02030;" ><!--PER MILLE SIGN -->
<!ENTITY perp             "&#x022A5;" ><!--UP TACK -->
<!ENTITY pertenk          "&#x02031;" ><!--PER TEN THOUSAND SIGN -->
<!ENTITY phmmat           "&#x02133;" ><!--SCRIPT CAPITAL M -->
<!ENTITY pointint         "&#x02A15;" ><!--INTEGRAL AROUND A POINT OPERATOR -->
<!ENTITY prime            "&#x02032;" ><!--PRIME -->
<!ENTITY Prime            "&#x02033;" ><!--DOUBLE PRIME -->
<!ENTITY profalar         "&#x0232E;" ><!--ALL AROUND-PROFILE -->
<!ENTITY profline         "&#x02312;" ><!--ARC -->
<!ENTITY profsurf         "&#x02313;" ><!--SEGMENT -->
<!ENTITY prop             "&#x0221D;" ><!--PROPORTIONAL TO -->
<!ENTITY qint             "&#x02A0C;" ><!--QUADRUPLE INTEGRAL OPERATOR -->
<!ENTITY qprime           "&#x02057;" ><!--QUADRUPLE PRIME -->
<!ENTITY quatint          "&#x02A16;" ><!--QUATERNION INTEGRAL OPERATOR -->
<!ENTITY radic            "&#x0221A;" ><!--SQUARE ROOT -->
<!ENTITY rang             "&#x027E9;" ><!--MATHEMATICAL RIGHT ANGLE BRACKET -->
<!ENTITY Rang             "&#x027EB;" ><!--MATHEMATICAL RIGHT DOUBLE ANGLE BRACKET -->
<!ENTITY rArr             "&#x021D2;" ><!--RIGHTWARDS DOUBLE ARROW -->
<!ENTITY rbbrk            "&#x02773;" ><!--LIGHT RIGHT TORTOISE SHELL BRACKET ORNAMENT -->
<!ENTITY roang            "&#x027ED;" ><!--MATHEMATICAL RIGHT WHITE TORTOISE SHELL BRACKET -->
<!ENTITY robrk            "&#x027E7;" ><!--MATHEMATICAL RIGHT WHITE SQUARE BRACKET -->
<!ENTITY ropar            "&#x02986;" ><!--RIGHT WHITE PARENTHESIS -->
<!ENTITY rppolint         "&#x02A12;" ><!--LINE INTEGRATION WITH RECTANGULAR PATH AROUND POLE -->
<!ENTITY scpolint         "&#x02A13;" ><!--LINE INTEGRATION WITH SEMICIRCULAR PATH AROUND POLE -->
<!ENTITY sim              "&#x0223C;" ><!--TILDE OPERATOR -->
<!ENTITY simdot           "&#x02A6A;" ><!--TILDE OPERATOR WITH DOT ABOVE -->
<!ENTITY sime             "&#x02243;" ><!--ASYMPTOTICALLY EQUAL TO -->
<!ENTITY smeparsl         "&#x029E4;" ><!--EQUALS SIGN AND SLANTED PARALLEL WITH TILDE ABOVE -->
<!ENTITY square           "&#x025A1;" ><!--WHITE SQUARE -->
<!ENTITY squarf           "&#x025AA;" ><!--BLACK SMALL SQUARE -->
<!ENTITY strns            "&#x000AF;" ><!--MACRON -->
<!ENTITY sub              "&#x02282;" ><!--SUBSET OF -->
<!ENTITY sube             "&#x02286;" ><!--SUBSET OF OR EQUAL TO -->
<!ENTITY sup              "&#x02283;" ><!--SUPERSET OF -->
<!ENTITY supe             "&#x02287;" ><!--SUPERSET OF OR EQUAL TO -->
<!ENTITY tdot             " &#x020DB;" ><!--COMBINING THREE DOTS ABOVE -->
<!ENTITY there4           "&#x02234;" ><!--THEREFORE -->
<!ENTITY tint             "&#x0222D;" ><!--TRIPLE INTEGRAL -->
<!ENTITY top              "&#x022A4;" ><!--DOWN TACK -->
<!ENTITY topbot           "&#x02336;" ><!--APL FUNCTIONAL SYMBOL I-BEAM -->
<!ENTITY topcir           "&#x02AF1;" ><!--DOWN TACK WITH CIRCLE BELOW -->
<!ENTITY tprime           "&#x02034;" ><!--TRIPLE PRIME -->
<!ENTITY utdot            "&#x022F0;" ><!--UP RIGHT DIAGONAL ELLIPSIS -->
<!ENTITY uwangle          "&#x029A7;" ><!--OBLIQUE ANGLE OPENING DOWN -->
<!ENTITY vangrt           "&#x0299C;" ><!--RIGHT ANGLE VARIANT WITH SQUARE -->
<!ENTITY veeeq            "&#x0225A;" ><!--EQUIANGULAR TO -->
<!ENTITY Verbar           "&#x02016;" ><!--DOUBLE VERTICAL LINE -->
<!ENTITY wedgeq           "&#x02259;" ><!--ESTIMATES -->
<!ENTITY xnis             "&#x022FB;" ><!--CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE -->
