<!-- ...................................................................... -->
<!-- ISO Math, Greek and Symbolic Character Entity Set for XHTML .......... -->
<!-- file: xhtml-symbol.ent
Typical invocation:
<!ENTITY % xhtml-symbol
PUBLIC "-//W3C//ENTITIES Symbols for XHTML//EN"
"xhtml-symbol.ent" >
%xhtml-symbol;
This DTD module is identified by the PUBLIC and SYSTEM identifiers:
PUBLIC "-//W3C//ENTITIES Symbols for XHTML//EN"
SYSTEM "http://www.w3.org/TR/xhtml-modularization/DTD/xhtml-symbol.ent"
Revision: $Id: xhtml-symbol.ent,v 4.1 2001/04/10 09:34:14 altheim Exp $ SMI
Portions (C) International Organization for Standardization 1986:
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.
-->
<!-- Relevant ISO entity set is given unless names are newly introduced.
New names (i.e., not in ISO 8879 [SGML] list) do not clash with
any existing ISO 8879 entity names. ISO 10646 [ISO10646] character
numbers are given for each character, in hex. Entity values are
decimal conversions of the ISO 10646 values and refer to the
document character set. Names are Unicode [UNICODE] names.
-->
<!-- Latin Extended-B -->
<!ENTITY fnof "ƒ" ><!-- latin small f with hook = function
= florin, U+0192 ISOtech -->
<!-- Greek -->
<!ENTITY Alpha "Α" ><!-- greek capital letter alpha, U+0391 -->
<!ENTITY Beta "Β" ><!-- greek capital letter beta, U+0392 -->
<!ENTITY Gamma "Γ" ><!-- greek capital letter gamma, U+0393 ISOgrk3 -->
<!ENTITY Delta "Δ" ><!-- greek capital letter delta, U+0394 ISOgrk3 -->
<!ENTITY Epsilon "Ε" ><!-- greek capital letter epsilon, U+0395 -->
<!ENTITY Zeta "Ζ" ><!-- greek capital letter zeta, U+0396 -->
<!ENTITY Eta "Η" ><!-- greek capital letter eta, U+0397 -->
<!ENTITY Theta "Θ" ><!-- greek capital letter theta, U+0398 ISOgrk3 -->
<!ENTITY Iota "Ι" ><!-- greek capital letter iota, U+0399 -->
<!ENTITY Kappa "Κ" ><!-- greek capital letter kappa, U+039A -->
<!ENTITY Lambda "Λ" ><!-- greek capital letter lambda, U+039B ISOgrk3 -->
<!ENTITY Mu "Μ" ><!-- greek capital letter mu, U+039C -->
<!ENTITY Nu "Ν" ><!-- greek capital letter nu, U+039D -->
<!ENTITY Xi "Ξ" ><!-- greek capital letter xi, U+039E ISOgrk3 -->
<!ENTITY Omicron "Ο" ><!-- greek capital letter omicron, U+039F -->
<!ENTITY Pi "Π" ><!-- greek capital letter pi, U+03A0 ISOgrk3 -->
<!ENTITY Rho "Ρ" ><!-- greek capital letter rho, U+03A1 -->
<!-- there is no Sigmaf, and no U+03A2 character either -->
<!ENTITY Sigma "Σ" ><!-- greek capital letter sigma, U+03A3 ISOgrk3 -->
<!ENTITY Tau "Τ" ><!-- greek capital letter tau, U+03A4 -->
<!ENTITY Upsilon "Υ" ><!-- greek capital letter upsilon,
U+03A5 ISOgrk3 -->
<!ENTITY Phi "Φ" ><!-- greek capital letter phi, U+03A6 ISOgrk3 -->
<!ENTITY Chi "Χ" ><!-- greek capital letter chi, U+03A7 -->
<!ENTITY Psi "Ψ" ><!-- greek capital letter psi, U+03A8 ISOgrk3 -->
<!ENTITY Omega "Ω" ><!-- greek capital letter omega, U+03A9 ISOgrk3 -->
<!ENTITY alpha "α" ><!-- greek small letter alpha, U+03B1 ISOgrk3 -->
<!ENTITY beta "β" ><!-- greek small letter beta, U+03B2 ISOgrk3 -->
<!ENTITY gamma "γ" ><!-- greek small letter gamma, U+03B3 ISOgrk3 -->
<!ENTITY delta "δ" ><!-- greek small letter delta, U+03B4 ISOgrk3 -->
<!ENTITY epsilon "ε" ><!-- greek small letter epsilon, U+03B5 ISOgrk3 -->
<!ENTITY zeta "ζ" ><!-- greek small letter zeta, U+03B6 ISOgrk3 -->
<!ENTITY eta "η" ><!-- greek small letter eta, U+03B7 ISOgrk3 -->
<!ENTITY theta "θ" ><!-- greek small letter theta, U+03B8 ISOgrk3 -->
<!ENTITY iota "ι" ><!-- greek small letter iota, U+03B9 ISOgrk3 -->
<!ENTITY kappa "κ" ><!-- greek small letter kappa, U+03BA ISOgrk3 -->
<!ENTITY lambda "λ" ><!-- greek small letter lambda, U+03BB ISOgrk3 -->
<!ENTITY mu "μ" ><!-- greek small letter mu, U+03BC ISOgrk3 -->
<!ENTITY nu "ν" ><!-- greek small letter nu, U+03BD ISOgrk3 -->
<!ENTITY xi "ξ" ><!-- greek small letter xi, U+03BE ISOgrk3 -->
<!ENTITY omicron "ο" ><!-- greek small letter omicron, U+03BF NEW -->
<!ENTITY pi "π" ><!-- greek small letter pi, U+03C0 ISOgrk3 -->
<!ENTITY rho "ρ" ><!-- greek small letter rho, U+03C1 ISOgrk3 -->
<!ENTITY sigmaf "ς" ><!-- greek small letter final sigma, U+03C2 ISOgrk3 -->
<!ENTITY sigma "σ" ><!-- greek small letter sigma, U+03C3 ISOgrk3 -->
<!ENTITY tau "τ" ><!-- greek small letter tau, U+03C4 ISOgrk3 -->
<!ENTITY upsilon "υ" ><!-- greek small letter upsilon, U+03C5 ISOgrk3 -->
<!ENTITY phi "φ" ><!-- greek small letter phi, U+03C6 ISOgrk3 -->
<!ENTITY chi "χ" ><!-- greek small letter chi, U+03C7 ISOgrk3 -->
<!ENTITY psi "ψ" ><!-- greek small letter psi, U+03C8 ISOgrk3 -->
<!ENTITY omega "ω" ><!-- greek small letter omega, U+03C9 ISOgrk3 -->
<!ENTITY thetasym "ϑ" ><!-- greek small letter theta symbol, U+03D1 NEW -->
<!ENTITY upsih "ϒ" ><!-- greek upsilon with hook symbol, U+03D2 NEW -->
<!ENTITY piv "ϖ" ><!-- greek pi symbol, U+03D6 ISOgrk3 -->
<!-- General Punctuation -->
<!ENTITY bull "•" ><!-- bullet = black small circle, U+2022 ISOpub -->
<!-- bullet is NOT the same as bullet operator, U+2219 -->
<!ENTITY hellip "…" ><!-- horizontal ellipsis = three dot leader, U+2026 ISOpub -->
<!ENTITY prime "′" ><!-- prime = minutes = feet, U+2032 ISOtech -->
<!ENTITY Prime "″" ><!-- double prime = seconds = inches, U+2033 ISOtech -->
<!ENTITY oline "‾" ><!-- overline = spacing overscore, U+203E NEW -->
<!ENTITY frasl "⁄" ><!-- fraction slash, U+2044 NEW -->
<!-- Letterlike Symbols -->
<!ENTITY weierp "℘" ><!-- script capital P = power set = Weierstrass p, U+2118 ISOamso -->
<!ENTITY image "ℑ" ><!-- blackletter capital I = imaginary part, U+2111 ISOamso -->
<!ENTITY real "ℜ" ><!-- blackletter capital R = real part symbol, U+211C ISOamso -->
<!ENTITY trade "™" ><!-- trade mark sign, U+2122 ISOnum -->
<!ENTITY alefsym "ℵ" ><!-- alef symbol = first transfinite cardinal, U+2135 NEW -->
<!-- alef symbol is NOT the same as hebrew letter alef, U+05D0 although
the same glyph could be used to depict both characters -->
<!-- Arrows -->
<!ENTITY larr "←" ><!-- leftwards arrow, U+2190 ISOnum -->
<!ENTITY uarr "↑" ><!-- upwards arrow, U+2191 ISOnum-->
<!ENTITY rarr "→" ><!-- rightwards arrow, U+2192 ISOnum -->
<!ENTITY darr "↓" ><!-- downwards arrow, U+2193 ISOnum -->
<!ENTITY harr "↔" ><!-- left right arrow, U+2194 ISOamsa -->
<!ENTITY crarr "↵" ><!-- downwards arrow with corner leftwards
= carriage return, U+21B5 NEW -->
<!ENTITY lArr "⇐" ><!-- leftwards double arrow, U+21D0 ISOtech -->
<!-- Unicode does not say that lArr is the same as the 'is implied by' arrow
but also does not have any other character for that function. So ? lArr can
be used for 'is implied by' as ISOtech suggests -->
<!ENTITY uArr "⇑" ><!-- upwards double arrow, U+21D1 ISOamsa -->
<!ENTITY rArr "⇒" ><!-- rightwards double arrow, U+21D2 ISOtech -->
<!-- Unicode does not say this is the 'implies' character but does not have
another character with this function so ?
rArr can be used for 'implies' as ISOtech suggests -->
<!ENTITY dArr "⇓" ><!-- downwards double arrow, U+21D3 ISOamsa -->
<!ENTITY hArr "⇔" ><!-- left right double arrow, U+21D4 ISOamsa -->
<!-- Mathematical Operators -->
<!ENTITY forall "∀" ><!-- for all, U+2200 ISOtech -->
<!ENTITY part "∂" ><!-- partial differential, U+2202 ISOtech -->
<!ENTITY exist "∃" ><!-- there exists, U+2203 ISOtech -->
<!ENTITY empty "∅" ><!-- empty set = null set, U+2205 ISOamso -->
<!ENTITY nabla "∇" ><!-- nabla = backward difference, U+2207 ISOtech -->
<!ENTITY isin "∈" ><!-- element of, U+2208 ISOtech -->
<!ENTITY notin "∉" ><!-- not an element of, U+2209 ISOtech -->
<!ENTITY ni "∋" ><!-- contains as member, U+220B ISOtech -->
<!-- should there be a more memorable name than 'ni'? -->
<!ENTITY prod "∏" ><!-- n-ary product = product sign, U+220F ISOamsb -->
<!-- prod is NOT the same character as U+03A0 'greek capital letter pi' though
the same glyph might be used for both -->
<!ENTITY sum "∑" ><!-- n-ary sumation, U+2211 ISOamsb -->
<!-- sum is NOT the same character as U+03A3 'greek capital letter sigma'
though the same glyph might be used for both -->
<!ENTITY minus "−" ><!-- minus sign, U+2212 ISOtech -->
<!ENTITY lowast "∗" ><!-- asterisk operator, U+2217 ISOtech -->
<!ENTITY radic "√" ><!-- square root = radical sign, U+221A ISOtech -->
<!ENTITY prop "∝" ><!-- proportional to, U+221D ISOtech -->
<!ENTITY infin "∞" ><!-- infinity, U+221E ISOtech -->
<!ENTITY ang "∠" ><!-- angle, U+2220 ISOamso -->
<!ENTITY and "∧" ><!-- logical and = wedge, U+2227 ISOtech -->
<!ENTITY or "∨" ><!-- logical or = vee, U+2228 ISOtech -->
<!ENTITY cap "∩" ><!-- intersection = cap, U+2229 ISOtech -->
<!ENTITY cup "∪" ><!-- union = cup, U+222A ISOtech -->
<!ENTITY int "∫" ><!-- integral, U+222B ISOtech -->
<!ENTITY there4 "∴" ><!-- therefore, U+2234 ISOtech -->
<!ENTITY sim "∼" ><!-- tilde operator = varies with = similar to, U+223C ISOtech -->
<!-- tilde operator is NOT the same character as the tilde, U+007E,
although the same glyph might be used to represent both -->
<!ENTITY cong "≅" ><!-- approximately equal to, U+2245 ISOtech -->
<!ENTITY asymp "≈" ><!-- almost equal to = asymptotic to, U+2248 ISOamsr -->
<!ENTITY ne "≠" ><!-- not equal to, U+2260 ISOtech -->
<!ENTITY equiv "≡" ><!-- identical to, U+2261 ISOtech -->
<!ENTITY le "≤" ><!-- less-than or equal to, U+2264 ISOtech -->
<!ENTITY ge "≥" ><!-- greater-than or equal to, U+2265 ISOtech -->
<!ENTITY sub "⊂" ><!-- subset of, U+2282 ISOtech -->
<!ENTITY sup "⊃" ><!-- superset of, U+2283 ISOtech -->
<!-- note that nsup, 'not a superset of, U+2283' is not covered by the Symbol
font encoding and is not included. Should it be, for symmetry?
It is in ISOamsn -->
<!ENTITY nsub "⊄" ><!-- not a subset of, U+2284 ISOamsn -->
<!ENTITY sube "⊆" ><!-- subset of or equal to, U+2286 ISOtech -->
<!ENTITY supe "⊇" ><!-- superset of or equal to, U+2287 ISOtech -->
<!ENTITY oplus "⊕" ><!-- circled plus = direct sum, U+2295 ISOamsb -->
<!ENTITY otimes "⊗" ><!-- circled times = vector product, U+2297 ISOamsb -->
<!ENTITY perp "⊥" ><!-- up tack = orthogonal to = perpendicular, U+22A5 ISOtech -->
<!ENTITY sdot "⋅" ><!-- dot operator, U+22C5 ISOamsb -->
<!-- dot operator is NOT the same character as U+00B7 middle dot -->
<!-- Miscellaneous Technical -->
<!ENTITY lceil "⌈" ><!-- left ceiling = apl upstile, U+2308 ISOamsc -->
<!ENTITY rceil "⌉" ><!-- right ceiling, U+2309 ISOamsc -->
<!ENTITY lfloor "⌊" ><!-- left floor = apl downstile, U+230A ISOamsc -->
<!ENTITY rfloor "⌋" ><!-- right floor, U+230B ISOamsc -->
<!ENTITY lang "〈" ><!-- left-pointing angle bracket = bra, U+2329 ISOtech -->
<!-- lang is NOT the same character as U+003C 'less than'
or U+2039 'single left-pointing angle quotation mark' -->
<!ENTITY rang "〉" ><!-- right-pointing angle bracket = ket, U+232A ISOtech -->
<!-- rang is NOT the same character as U+003E 'greater than'
or U+203A 'single right-pointing angle quotation mark' -->
<!-- Geometric Shapes -->
<!ENTITY loz "◊" ><!-- lozenge, U+25CA ISOpub -->
<!-- Miscellaneous Symbols -->
<!ENTITY spades "♠" ><!-- black spade suit, U+2660 ISOpub -->
<!-- black here seems to mean filled as opposed to hollow -->
<!ENTITY clubs "♣" ><!-- black club suit = shamrock, U+2663 ISOpub -->
<!ENTITY hearts "♥" ><!-- black heart suit = valentine, U+2665 ISOpub -->
<!ENTITY diams "♦" ><!-- black diamond suit, U+2666 ISOpub -->
<!-- end of xhtml-symbol.ent -->