some important stuff we'll need
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| <!-- Mathematical, Greek and Symbolic characters for XHTML --> | ||||
|  | ||||
| <!-- Character entity set. Typical invocation: | ||||
|      <!ENTITY % HTMLsymbol PUBLIC | ||||
|         "-//W3C//ENTITIES Symbols for XHTML//EN" | ||||
|         "http://www.w3.org/TR/xhtml1/DTD/xhtml-symbol.ent"> | ||||
|      %HTMLsymbol; | ||||
| --> | ||||
|  | ||||
| <!-- 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 list) do not clash with any | ||||
|      existing ISO 8879 entity names. ISO 10646 character numbers | ||||
|      are given for each character, in hex. values are decimal | ||||
|      conversions of the ISO 10646 values and refer to the document | ||||
|      character set. Names are Unicode names.  | ||||
| --> | ||||
|  | ||||
| <!-- Latin Extended-B --> | ||||
| <!ENTITY fnof     "ƒ"> <!-- latin small letter 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 lamda, | ||||
|                                     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 lamda, | ||||
|                                     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 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"> <!-- black-letter capital I = imaginary part, | ||||
|                                      U+2111 ISOamso --> | ||||
| <!ENTITY real     "ℜ"> <!-- black-letter 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 --> | ||||
| <!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 summation, 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 --> | ||||
| <!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 sign'  | ||||
|      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 sign'  | ||||
|      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 --> | ||||
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