Characters Overview, characters Numeric codes are used by MathFlow when interfacing with other applications, as generally the most robust, interoperable method of representing characters across systems. MathFlow input accepts any valid Unicode character, but can only display characters located in an available font. The MathFlow Editor flow utilizes two kinds of fonts: System fonts Internal fonts MathFlow includes internal fonts for approximately 500 math characters. The advantage of using these fonts is that they enable MathFlow to use the most common mathematical symbols, regardless of the fonts available on the system. However, they are low quality and only come in one face, slant and weight; thus, styles are ignored when rendering characters from these fonts. The sections below document the characters MathFlow Editor has in its internal fonts and the character names MathFlow accepts. Overview, MathFlow named characters While MathFlow supports all Unicode characters subject to the availability of fonts, certain Unicode characters are more relevant to mathematics than others. The MathML Recommendation identifies approximately 2000 such characters in sufficiently common usage to have received names. MathFlow recognizes over 1000 of these names, with support for several hundred additional names specific to MathFlow. To insert a character by name in the MathFlow Editor, you can use the Insert Symbol dialog. For advice about finding fonts containing a specific character, see Font style management. In addition to named characters, one can insert arbitrary Unicode characters directly by Unicode value using the Insert Symbol dialog or by editing MathML source code. For convenience, tables for most mathematical blocks Unicode characters are included at the end of this section. These tables are merely an aid to looking up character codes and names for obscure characters that you might need to enter. There is no guarantee that MathFlow will be able to locate such characters in an available font. The tables in the next two sections show all named MathFlow characters. MathFlow named characters MathFlow named characters that are in the Private Use Areas (PUA) are listed in the section for that group. Glyph Unicode MathML nameOfficial aliasesMathFlow aliases & 0x0026 amp ( 0x0028 lpar lparen ) 0x0029 rpar rparen * 0x002A ast + 0x002B plus : 0x003A colon < 0x003C lt less = 0x003D equals > 0x003E gt greater [ 0x005B lsqb lbrack lbrak ] 0x005D rsqb rbrack rbrak ^ 0x005E circ hat { 0x007B lcub lbrace { | 0x007C verbar vert LeftBracketingBar, RightBracketingBar, vrul } 0x007D rcub rbrace } 0x00A0 nbsp NonBreakingSpace Space ¨ 0x00A8 Dot DoubleDot, die ddot ¬ 0x00AC not Not, neg Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ¯ 0x00AF macr OverBar OverLine, bar ± 0x00B1 plusmn PlusMinus, pm · 0x00B7 middot CenterDot, centerdot cdot × 0x00D7 times Times ÷ 0x00F7 divide div Divide ı 0x0131 imath (see also 1D6A4) imath, inodot imath ȷ 0x0237 jmath (see also 1D6A5) jmath ɛ 0x025B ˙ 0x02D9 dot ˜ 0x02DC tilde DiacriticalTilde ̂ 0x0302 Hat ̲ 0x0332 UnderBar Α 0x0391 n/a Agr Alpha, CapitalAlpha Β 0x0392 n/a Bgr Beta, CapitalBeta Γ 0x0393 Gamma Ggr CapitalGamma, Δ 0x0394 Delta Dgr CapitalDelta, Ε 0x0395 n/a Egr CapitalEpsilon, Epsi, Epsilon Ζ 0x0396 n/a Zgr CapitalZeta, Zeta Η 0x0397 n/a EEgr CapitalEta, Eta Glyph Unicode MathML nameOfficial aliasesMathFlow aliases Θ 0x0398 Theta THgr CapitalTheta Ι 0x0399 n/a Iota CapitalIota Κ 0x039A n/a Kgr CapitalKappa, Kappa Λ 0x039B Lambda Lgr CapitalLambda Μ 0x039C n/a Mgr CapitalMu, Mu Ν 0x039D n/a Ngr CapitalNu, Nu Ξ 0x039E Xi Ygr CapitalXi Ο 0x039F n/a Ogr CapitalOmicron, Omicron Π 0x03A0 Pi Pgr CapitalPi Ρ 0x03A1 n/a Rgr CapitalRho, Rho Σ 0x03A3 Sigma Sgr CapitalSigma Τ 0x03A4 n/a Tgr CapitalTau, Tau Φ 0x03A6 Phi Fgr CapitalPhi Χ 0x03A7 n/a KHgr CapitalChi, Chi Ψ 0x03A8 Psi PSgr CapitalPsi Ω 0x03A9 Omega OHgr CapitalOmega α 0x03B1 alpha agr β 0x03B2 beta bgr γ 0x03B3 gamma ggr Glyph Unicode MathML nameOfficial aliasesMathFlow aliases δ 0x03B4 delta dgr ε 0x03B5 epsiv egr varepsilon ζ 0x03B6 zeta zgr η 0x03B7 eta eegr θ 0x03B8 theta thgr ι 0x03B9 iota igr κ 0x03BA kappa kgr λ 0x03BB lambda lgr μ 0x03BC mu mgr ν 0x03BD nu ngr ξ 0x03BE xi xgr ο 0x03BF n/a ogr omicron π 0x03C0 pi pgr ρ 0x03C1 rho rgr ς 0x03C2 sigmav varsigma σ 0x03C3 sigma sgr τ 0x03C4 tau tgr υ 0x03C5 upsi ugr, upsilon φ 0x03C6 phiv varphi Glyph Unicode MathML nameOfficial aliasesMathFlow aliases χ 0x03C7 chi khgr ψ 0x03C8 psi psgr ω 0x03C9 omega ohgr ϑ 0x03D1 thetav vartheta ϒ 0x03D2 Upsi CapitalUpsilon, Ugr, Upsilon ϕ 0x03D5 phi fgr, phgr, straightphi ϖ 0x03D6 piv varpi Ϝ 0x03DC Gammad digamma, gammad ϰ 0x03F0 kappav varkappa ϱ 0x03F1 rhov varrho ϵ 0x03F5 epsi straightepsilon, epsilon 0x2003 emsp 0x2009 thinsp ThinSpace, , 0x200A hairsp VeryThinSpace 0x200B ZeroWidthSpace AlignmentMarker, InvisibleComma, MissingTerm, ic ‖ 0x2016 Verbar Vert, | • 0x2022 bull Bullet, bbull, bullet … 0x2026 hellip Ellipsis, dots, ellip, ldots ′ 0x2032 prime Prime Glyph Unicode MathML nameOfficial aliasesMathFlow aliases 0x205F medsp MediumSpace, : 0x2060 NoBreak NoBreak 0x2061 ApplyFunction af 0x2062 InvisibleTimes it ℂ 0x2102 Copf Bbb_C ℋ 0x210B hamilt Hscr, cal_H ℌ 0x210C Hfr frak_H ℍ 0x210D quaternions Bbb_H, Hopf ℏ 0x210F plankv hslash ℐ 0x2110 Iscr cal_I ℑ 0x2111 image, Ifr Im ,frak_I ℒ 0x2112 Lscr cal_L ℓ 0x2113 ell ℕ 0x2115 Nopf Bbb_N ℘ 0x2118 weierp wp ℙ 0x2119 Popf Bbb_P ℚ 0x211A rationals Bbb_Q, Qopf ℛ 0x211B Rscr cal_R ℜ 0x211C real, Rfr Re, frak_R Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ℝ 0x211D reals Bbb_R, Ropf ℤ 0x2124 integers Bbb_Z, Zopf ℨ 0x2128 Zfr frak_Z ℬ 0x212C bernou Bscr, cal_B ℭ 0x212D Cfr frak_C ℰ 0x2130 Escr cal_E ℱ 0x2131 Fscr cal_F ℳ 0x2133 phmmat Mscr, cal_M ℵ 0x2135 aleph ⅅ 0x2145 CapitalDifferentialD DD ⅆ 0x2146 DifferentialD dd ⅇ 0x2147 ExponentialE ee ⅈ 0x2148 ImaginaryI ii ← 0x2190 larr LeftArrow, leftarrow ↑ 0x2191 uarr UpArrow, uparrow → 0x2192 rarr RightArrow, rightarrow, to ↓ 0x2193 darr DownArrow, downarrow ↔ 0x2194 harr LeftRightArrow, leftrightarrow ↕ 0x2195 varr UpDownArrow, updownarrow Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ↖ 0x2196 nwarr UpperLeftArrow, nwarrow ↗ 0x2197 nearr UpperRightArrow, nearrow ↘ 0x2198 searr LowerRightArrow, drarr, rarrd, searrow ↙ 0x2199 swarr LowerLeftArrow, dlarr, swarrow ↚ 0x219A nlarr nleftarrow ↛ 0x219B nrarr nrightarrow ↦ 0x21A6 map RightTeeArrow, mapr, mapsto ↩ 0x21A9 larrhk hookleftarrow ↪ 0x21AA rarrhk hkarrow, hookrightarrow ↭ 0x21AD harrw leftrightsquigarrow ↮ 0x21AE nharr nleftrightarrow ↼ 0x21BC lharu LeftVector, leftharpoonup ⇀ 0x21C0 rharu RightVector, rightharpoonup ⇄ 0x21C4 rlarr ⇆ 0x21C6 lrarr ⇍ 0x21CD nlArr nLeftarrow ⇎ 0x21CE nhArr nLeftrightarrow ⇏ 0x21CF nrArr nRightarrow ⇐ 0x21D0 lArr DoubleLeftArrow, Leftarrow Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ⇑ 0x21D1 uArr DoubleUpArrow, Uparrow ⇒ 0x21D2 rArr DoubleRightArrow, Rightarrow, implies ⇓ 0x21D3 dArr DoubleDownArrow, Downarrow ⇔ 0x21D4 hArr DoubleLeftRightArrow, Leftrightarrow, iff ⇕ 0x21D5 vArr DoubleUpDownArrow, Updownarrow ⇝ 0x21DD zigrarr dzigrarr, rarrw, rightsquigarrow ∀ 0x2200 forall ForAll ∁ 0x2201 comp complement, complement ∂ 0x2202 part PartialD, partial ∃ 0x2203 exist Exists, exists ∄ 0x2204 nexist NotExists, nexists ∅ 0x2205 empty Empty, EmptySet, emptyset, nullset, varnothing ∇ 0x2207 nabla Del ∈ 0x2208 isin Element, in, isinv ∉ 0x2209 notin NotElement, nonit ∋ 0x220B niv ReverseElement, SuchThat, ni ∌ 0x220C notni NotReverseElement ∏ 0x220F prod Product ∐ 0x2210 coprod Coproduct Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ∑ 0x2211 sum Sum − 0x2212 minus Dash, endash, ndash ∓ 0x2213 mnplus MinusPlus ∔ 0x2214 plusdo ∖ 0x2216 setmn Backslash, backslash, setminus ∘ 0x2218 compfn SmallCircle, bulop, convolu √ 0x221A radic Sqrt, sqrt, surd ∝ 0x221D prop Proportional, propto ∞ 0x221E infin Infinity, infty ∠ 0x2220 ang Angle, angle, angupr ∡ 0x2221 angmsd measuredangle ∢ 0x2222 angsph sphericalangle ∣ 0x2223 mid VerticalBar ∤ 0x2224 nmid NotVerticalBar ∥ 0x2225 par DoubleVerticalBar, parallel ∦ 0x2226 npar NotDoubleVerticalBar, nparallel ∧ 0x2227 and And, wedge ∨ 0x2228 or Or, vee ∩ 0x2229 cap Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ∪ 0x222A cup ∫ 0x222B int Integral ∬ 0x222C Int iint ∭ 0x222D tint iiint ∮ 0x222E conint ContourIntegral, oint ∴ 0x2234 there4 Therefore, therefore ∵ 0x2235 becaus because ∼ 0x223C sim Tilde ≀ 0x2240 wreath VerticalTilde, wr ≁ 0x2241 nsim NotTilde ≃ 0x2243 sime TildeEqual, simeq ≄ 0x2244 nsime NotTildeEqual, nsimeq ≅ 0x2245 cong TildeFullEqual ≆ 0x2246 simne ≇ 0x2247 ncong NotTildeFullEqual ≈ 0x2248 ap TildeTilde, approx ≉ 0x2249 nap NotTildeTilde, napprox ≍ 0x224D asymp CupCap ≗ 0x2257 cire circeq Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ≙ 0x2259 wedgeq ≑ 0x225A veeeq ≛ 0x225B easter ≜ 0x225C trie triangleq ≟ 0x225F equest ≠ 0x2260 ne NotEqual, neq ≡ 0x2261 equiv Congruent ≢ 0x2262 nequiv NotCongruent ≤ 0x2264 le LessEqual, leq ≥ 0x2265 ge GreaterEqual, geq ≨ 0x2268 lnE lnE, lneqq ≩ 0x2269 gnE gnE, gneqq ≪ 0x226A Lt LessLess, ll ≫ 0x226B Gt GreaterGreater, gg ≭ 0x226D NotCupCap nasymp ≮ 0x226E nlt NotLess, nless ≯ 0x226F ngt NotGreater, ngtr ≰ 0x2270 nlE NotLessSlantEqual, nleqslant, nles ≱ 0x2271 ngE NotGreaterSlantEqual, ngeqslant, nges Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ≺ 0x227A pr prec ≻ 0x227B sc succ ≽ 0x227D sccue sce, succeq ⊀ 0x2280 npr nprec ⊁ 0x2281 nsc nsucc ⊂ 0x2282 sub Subset, subset ⊃ 0x2283 sup Superset, supset ⊄ 0x2284 nsub NotSubset, vnsub, nsubset, sublineh ⊅ 0x2285 nsup NotSuperset, vnsup, nsupset, suplineh ⊆ 0x2286 sube SubsetEqual, sube, subseteq, subuline ⊇ 0x2287 supe SupersetEqual, supe, supseteq, supuline ⊈ 0x2288 nsubE NotSubsetEqual, nsube, nsubseteq ⊉ 0x2289 nsupE NotSupersetEqual, nsupe, nsupseteq ⊊ 0x228A subne subne, subsetneq ⊋ 0x228B supne supne, supsetneq ⊕ 0x2295 oplus CirclePlus ⊖ 0x2296 ominus CircleMinus ⊗ 0x2297 otimes CircleTimes ⊘ 0x2298 osol oslash Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ⊙ 0x2299 odot CircleDot ⊞ 0x229E plusb boxplus ⊟ 0x229F minusb boxminus ⊠ 0x22A0 timesb boxtimes ⊡ 0x22A1 sdotb dotsquare ⊢ 0x22A2 vdash RightTee ⊤ 0x22A3 dashv LeftTee ⊤ 0x22A4 top DownTee ⊥ 0x22A5 bottom UpTee, bot, bot, perp, upTee ⊨ 0x22A8 vDash DoubleRightTee ⊩ 0x22A9 Vdash ⊬ 0x22AC nvdash ⊭ 0x22AD nvDash ⊮ 0x22AE nVdash ⊯ 0x22AF nVDash ⊴ 0x22B4 ltrie LeftTriangleEqual, trianglelefteq ⊵ 0x22B5 rtrie RightTriangleEqual, trianglerighteq ⊸ 0x22B8 mumap multimap ⋀ 0x22C0 xwedge bigwedge Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ⋁ 0x22C1 xvee Vee, bigvee ⋂ 0x22C2 xcap bigcap ⋃ 0x22C3 xcup bigcup ⋉ 0x22C9 ltimes ⋊ 0x22CA rtimes ⋋ 0x22CB lthree leftthreetimes ⋌ 0x22CC rthree rightfthreetimes ⋔ 0x22D4 fork pitchfork ⋖ 0x22D6 ltdot lessdot ⋗ 0x22D7 gtdot ⋘ 0x22D8 Ll lll ⋙ 0x22D9 Gg ggg ⋪ 0x22EA nltri NotLeftTriangle, ntriangleleft ⋫ 0x22EB nrtri NotRightTriangle, ntriangleright ⋬ 0x22EC nltrie NotLeftTriangleEqual, ntrianglelefteq ⋭ 0x22ED nrtrie NotRightTriangleEqual, ntrianglerighteq ⋮ 0x22EE vellip VerticalEllipsis, elipd, vdots ⋯ 0x22EF ctdot CenterEllipsis, cdots, cellip ⋱ 0x22F1 dtdot Continuation, ddots, soldotr Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ⌈ 0x2308 lceil LeftCeiling, ceill ⌉ 0x2309 rceil RightCeiling, ceilr ⌊ 0x230A lfloor LeftFloor, floorl ⌋ 0x230B rfloor RightFloor, floorr ⌜ 0x231C ulcorn ulcorner ⌝ 0x231D urcorn urcorner ⌞ 0x231E dlcorn llcorner ⌟ 0x231F drcorn lrcorner 〈 0x2329 lang LeftAngleBracket, langle 〉 0x232A rang RightAngleBracket, rangle □ 0x25A1 squ Box, square ▪ 0x25AA squf FilledRectangle, blacksquare, qed, squarf ▴ 0x25B4 utrif blacktriangle ▵ 0x25B5 utri EmptyUpTriangle, bigtriangleup, xutri ▸ 0x25B8 rtrif blacktriangleright ▹ 0x25B9 rtri triangleright ▾ 0x25BE dtrif blacktriangledown ▿ 0x25BF dtri EmptyDownTriangle, bigtriangledown, xdtri ◂ 0x25C2 ltrif blacktriangleleft Glyph Unicode MathML nameOfficial aliasesMathFlow aliases ◃ 0x25C3 ltri triangleleft ♭ 0x266D flat ♮ 0x266E natur natural ♯ 0x266F sharp ✓ 0x2713 check Hacek, hacek ⟵ 0x27F5 xlarr llarrow, longleftarrow ⟶ 0x27F6 xrarr longrightarrow, lrarrow ⟷ 0x27F7 xharr ⨀ 0x2A00 bigodot xodot ⨁ 0x2A01 bigoplus xoplus ⨂ 0x2A02 bigotimes xotimes ⨿ 0x2A3F amalg ⪇ 0x2A87 lne lne, lneq ⪈ 0x2A88 gne gne, gneq ⪯ 0x2AAF prE pre, preceq ⫅ 0x2AC5 subE subE, subseteqq ⫆ 0x2AC6 supE supE, supseteqq ⫋ 0x2ACB subnE subnE, subsetneqq ⫌ 0x2ACC supnE supnE, supsetneqq Named characters (PUA) Glyph Unicode MathML NameOfficial AliasesMathFlow Aliases 0xE191 xuarr 0xE193 xdarr 0xE195 xvarr 0xE1C0 vec, DiacriticalRightVector 0xE20F bigprod, xprod 0xE210 bigcoprod, xcoprod 0xE211 bigsum, xsum 0xE216 ssetmn shortsetminus, smallsetminus, ssetminus 0xE22C bigiint, xInt 0xE22D bigiiint, xtint 0xE22B bigint, xint 0xE22E bigconint, bigoint, xconint 0xE270 nle NotLessEqual, nleq Glyph Unicode MathML nameOfficial aliasesMathFlow aliases 0xE271 nge NotGreater, ngeq 0xEAAF npre npreceq 0xEAB0 nsce nsucceq 0xEF04 thicksp ThickSpace, quad, ; 0xEF22 NegativeThinSpace negsp 0xEF23 NegativeMediumSpace negemsp 0xEF24 NegativeThickSpace negquadsp 0xEF29 NegativeVeryThinSpace negthinsp, ! 0xEFFA shorttemplate 0xF000 Afr frak_A 0xF001 Bfr frak_B 0xF003 Dfr frak_D 0xF004 Efr frak_E 0xF005 Ffr frak_F 0xF006 Gfr frak_G Glyph Unicode MathML nameOfficial aliasesMathFlow aliases 0xF009 Jfr frak_J 0xF00A Kfr frak_K 0xF00B Lfr frak_L 0xF00C Mfr frak_M 0xF00D Nfr frak_N 0xF00E Ofr frak_O 0xF00F Pfr frak_P 0xF010 Qfr frak_Q 0xF012 Sfr frak_S 0xF013 Tfr frak_T 0xF014 Ufr frak_U 0xF015 Vfr frak_V 0xF016 Wfr frak_W 0xF017 Xfr frak_X 0xF018 Yfr frak_Y Glyph Unicode MathML nameOfficial aliasesMathFlow aliases 0xF01A afr frak_a 0xF01B bfr frak_b 0xF01C cfr frak_c 0xF01D dfr frak_d 0xF01E efr frak_e 0xF01F ffr frak_f 0xF020 gfr frak_g 0xF021 hfr frak_h 0xF022 ifr frak_i 0xF023 jfr frak_j 0xF024 kfr frak_k 0xF025 lfr frak_l 0xF026 mfr frak_m 0xF027 nfr frak_n 0xF028 ofr frak_o Glyph Unicode MathML nameOfficial aliasesMathFlow aliases 0xF029 pfr frak_p 0xF02A qfr frak_q 0xF02B rfr frak_r 0xF02C sfr frak_s 0xF02D tfr frak_t 0xF02E ufr frak_u 0xF02F vfr frak_v 0xF030 wfr frak_w 0xF031 xfr frak_x 0xF032 yfr frak_y 0xF033 zfr frak_z 0xF080 Aopf Bbb_A 0xF081 Bopf Bbb_B 0xF083 Dopf Bbb_D 0xF084 Eopf Bbb_E Glyph Unicode MathML nameOfficial aliasesMathFlow aliases 0xF085 Fopf Bbb_F 0xF086 Gopf Bbb_G 0xF088 Iopf Bbb_I 0xF089 Jopf Bbb_J 0xF08A Kopf Bbb_K 0xF08B Lopf Bbb_L 0xF08C Mopf Bbb_M 0xF08E Oopf Bbb_O 0xF092 Sopf Bbb_S 0xF093 Topf Bbb_T 0xF094 Uopf Bbb_U 0xF095 Vopf Bbb_V 0xF096 Wopf Bbb_W 0xF097 Xopf Bbb_X 0xF098 Yopf Bbb_Y Glyph Unicode MathML nameOfficial aliasesMathFlow aliases 0xF100 Ascr cal_A 0xF102 Cscr cal_C 0xF103 Dscr cal_D 0xF106 Gscr cal_G 0xF109 Jscr cal_J 0xF10A Kscr cal_K 0xF10D Nscr cal_N 0xF10E Oscr cal_O 0xF10F Pscr cal_P 0xF110 Qscr cal_Q 0xF112 Sscr cal_S 0xF113 Tscr cal_T 0xF114 Uscr cal_U 0xF115 Vscr cal_V 0xF116 Wscr cal_W Glyph Unicode MathML nameOfficial aliasesMathFlow aliases 0xF117 Xscr cal_X 0xF118 Yscr cal_Y 0xF119 Zscr cal_Z 0xF388 GoodBreak 0xF389 BadBreak 0xFE37 OverBrace cub, ovrcub 0xFE38 UnderBrace clb, udrcub 0xFEFF NoBreak 0x1D6A4 imath imath imath 0x1D6A5 jmath jmath jmath Combining diacritical marks Unicode block 0300-036F 030 031 032 033 034 035 036 0 0300 0310 0320 0330 0340 0350 0360 1 0301 0311 0321 0331 0341 0351 0361 2 0302 0312 0322 0332 0342 0352 0362 3 0303 0310 0323 0333 0343 0353 0363 4 0304 0314 0324 0334 0344 0354 0364 5 0305 0315 0325 0335 0345 0355 0365 6 0306 0316 0326 0336 0346 0356 0366 7 0307 0317 0327 0337 0347 0357 0367 8 0308 0318 0328 0338 0348 0358 0368 9 0309 0319 0329 0339 0349 0359 0369 A 030A 031A 032A 033A 034A 035A 036A B 030B 031B 032B 033B 034B 035B 036B C 030C 031C 032C 033C 034C 035C 036C D 030D 031D 032D 033D 034D 035D 036D E 030E 031E 032E 033E 034E 035E 036E F 030F 031F 032F 033F 034F 035F 036F Diacritical marks for symbols Unicode block 20D0-20FF 20D 20E 20F 0 20D0 20E0 20F0 1 20D1 20E1 20F1 2 20D2 20E2 20F2 3 20D3 20E3 20F3 4 20D4 20E4 20F4 5 20D5 20E5 20F5 6 20D6 20E6 20F6 7 20D7 20E7 20F7 8 20D8 20E8 20E8 9 20D9 20E9 20F9 A 20DA 20EA 20FA B 20DB 20EB 20FB C 20DC 20EC 20FC D 20DD 20ED 20FD E 20DE 20EE 20FE F 20DF 20EF 20FF Arrows Unicode block 2190-21FF 219 21A 21B 21C 21D 21E 21F 0 ← 2190 ↠ 21A0 ↰ 21B0 ⇀ 21C0 ⇐ 21D0 ⇠ 21E0 ⇰ 21F0 1 ↑ 2191 ↡ 21A1 ↱ 21B1 ⇁ 21C1 ⇑ 21D1 ⇡ 21E1 ⇱ 21F1 2 → 2192 ↢ 21A2 ↲ 21B2 ⇂ 21C2 ⇒ 21D2 ⇢ 21E2 ⇲ 21F2 3 ↓ 2193 ↣ 21A3 ↳ 21B3 ⇃ 21C3 ⇓ 21D3 ⇣ 21E3 ⇳ 21F3 4 ↔ 2194 ↤ 21A4 ↴ 21B4 ⇄ 21C4 ⇔ 21D4 ⇤ 21E4 ⇴ 21F4 5 ↕ 2195 ↥ 21A5 ↵ 21B5 ⇅ 21C5 ⇕ 21D5 ⇥ 21E5 ⇵ 21F5 6 ↖ 2196 ↦ 21A6 ↶ 21B6 ⇆ 21C6 ⇖ 21D6 ⇦ 21E6 ⇶ 21F6 7 ↗ 2197 ↧ 21A7 ↷ 21B7 ⇇ 21C7 ⇗ 21D7 ⇧ 21E7 ⇷ 21F7 8 ↘ 2198 ↨ 21A8 ↸ 21B8 ⇈ 21C8 ⇘ 21D8 ⇨ 21E8 ⇸ 21F8 9 ↙ 2199 ↩ 21A9 ↹ 21B9 ⇉ 21C9 ⇙ 21D9 ⇩ 21E9 ⇹ 21F9 A ↚ 219A ↪ 21AA ↺ 21BA ⇊ 21CA ⇚ 21DA ⇪ 21EA ⇺ 21FA B ↛ 219B ↫ 21AB ↻ 21BB ⇋ 21CB ⇛ 21DB ⇫ 21EB ⇻ 21FB C ↜ 219C ↬ 21AC ↼ 21BC ⇌ 21CC ⇜ 21DC ⇬ 21EC ⇼ 21FC D ↝ 219D ↭ 21AD ↽ 21BD ⇍ 21CD ⇝ 21DD ⇭ 21ED ⇽ 21FD E ↞ 219E ↮ 21AE ↾ 21BE ⇎ 21CE ⇞ 21DE ⇮ 21EE ⇾ 21FE F ↟ 219F ↯ 21AF ↿ 21BF ⇏ 21CF ⇟ 21DF ⇯ 21EF ⇿ 21FF Supplemental arrows-B Unicode block 2900-297F 290 291 292 293 294 295 296 297 0 ⤀ 2900 ⤐ 2910 ⤠ 2920 ⤰ 2930 ⥀ 2940 ⥐ 2950 ⥠ 2960 ⥰ 2970 1 ⤁ 2901 ⤑ 2911 ⤡ 2921 ⤱ 2931 ⥁ 2941 ⥑ 2951 ⥡ 2961 ⥱ 2971 2 ⤂ 2902 ⤒ 2912 ⤢ 2922 ⤲ 2932 ⥂ 2942 ⥒ 2952 ⥢ 2962 ⥲ 2972 3 ⤃ 2903 ⤓ 2913 ⤣ 2923 ⤳ 2933 ⥃ 2943 ⥓ 2953 ⥣ 2963 ⥳ 2973 4 ⤄ 2904 ⤔ 2914 ⤤ 2924 ⤴ 2934 ⥄ 2944 ⥔ 2954 ⥤ 2964 ⥴ 2974 5 ⤅ 2905 ⤕ 2915 ⤥ 2925 ⤵ 2935 ⥅ 2945 ⥕ 2955 ⥥ 2965 ⥵ 2975 6 ⤆ 2906 ⤖ 2916 ⤦ 2926 ⤶ 2936 ⥆ 2946 ⥖ 2956 ⥦ 2966 ⥶ 2976 7 ⤇ 2907 ⤗ 2917 ⤧ 2927 ⤷ 2937 ⥇ 2947 ⥗ 2957 ⥧ 2967 ⥷ 2977 8 ⤈ 2908 ⤘ 2918 ⤨ 2928 ⤸ 2938 ⥈ 2948 ⥘ 2958 ⥨ 2968 ⥸ 2978 9 ⤉ 2909 ⤙ 2919 ⤩ 2929 ⤹ 2939 ⥉ 2949 ⥙ 2959 ⥩ 2969 ⥹ 2979 A ⤊ 290A ⤚ 291A ⤪ 292A ⤺ 293A ⥊ 294A ⥚ 295A ⥪ 296A ⥺ 297A B ⤋ 290B ⤛ 291B ⤫ 292B ⤻ 293B ⥋ 294B ⥛ 295B ⥫ 296B ⥻ 297B C ⤌ 290C ⤜ 291C ⤬ 292C ⤼ 293C ⥌ 294C ⥜ 295C ⥬ 296C ⥼ 297C D ⤍ 290D ⤝ 291D ⤭ 292D ⤽ 293D ⥍ 294D ⥝ 295D ⥭ 296D ⥽ 297D E ⤎ 290E ⤞ 291E ⤮ 292E ⤾ 293E ⥎ 294E ⥞ 295E ⥮ 296E ⥾ 297E F ⤏ 290F ⤟ 291F ⤯ 292F ⤿ 293F ⥏ 294F ⥟ 295F ⥯ 296F ⥿ 297F Miscellaneous math symbols-B Unicode block 2980-29FF 298 299 29A 29B 29C 29D 29E 29F 0 ⦀ 2980 ⦐ 2990 ⦠ 29A0 ⦰ 29B0 ⧀ 29C0 ⧐ 29D0 ⧠ 29E0 ⧰ 29F0 1 ⦁ 2981 ⦑ 2991 ⦡ 29A1 ⦱ 29B1 ⧁ 29C1 ⧑ 29D1 ⧡ 29E1 ⧱ 29F1 2 ⦂ 2982 ⦒ 2992 ⦢ 29A2 ⦲ 29B2 ⧂ 29C2 ⧒ 29D2 ⧢ 29E2 ⧲ 29F2 3 ⦃ 2983 ⦓ 2993 ⦣ 29A3 ⦳ 29B3 ⧃ 29C3 ⧓ 29D3 ⧣ 29E3 ⧳ 29F3 4 ⦄ 2984 ⦔ 2994 ⦤ 29A4 ⦴ 29B4 ⧄ 29C4 ⧔ 29D4 ⧤ 29E4 ⧴ 29F4 5 ⦅ 2985 ⦕ 2995 ⦥ 29A5 ⦵ 29B5 ⧅ 29C5 ⧕ 29D5 ⧥ 29E5 ⧵ 29F5 6 ⦆ 2986 ⦖ 2996 ⦦ 29A6 ⦶ 29B6 ⧆ 29C6 ⧖ 29D6 ⧦ 29E6 ⧶ 29F6 7 ⦇ 2987 ⦗ 2997 ⦧ 29A7 ⦷ 29B7 ⧇ 29C7 ⧗ 29D7 ⧧ 29E7 ⧷ 29F7 8 ⦈ 2988 ⦘ 2998 ⦨ 29A8 ⦸ 29B8 ⧈ 29C8 ⧘ 29D8 ⧨ 29E8 ⧸ 29F8 9 ⦉ 2989 ⦙ 2999 ⦩ 29A9 ⦹ 29B9 ⧉ 29C9 ⧙ 29D9 ⧩ 29E9 ⧹ 29F9 A ⦊ 298A ⦚ 299A ⦪ 29AA ⦺ 29BA ⧊ 29CA ⧚ 29DA ⧪ 29EA ⧺ 29FA B ⦋ 298B ⦛ 299B ⦫ 29AB ⦻ 29BB ⧋ 29CB ⧛ 29DB ⧫ 29EB ⧻ 29FB C ⦌ 298C ⦜ 299C ⦬ 29AC ⦼ 29BC ⧌ 29CC ⧜ 29DC ⧬ 29EC ⧼ 29FC D ⦍ 298D ⦝ 299D ⦭ 29AD ⦽ 29BD ⧍ 29CD ⧝ 29DD ⧭ 29ED ⧽ 29FD E ⦎ 298E ⦞ 299E ⦮ 29AE ⦾ 29BE ⧎ 29CE ⧞ 29DE ⧮ 29EE ⧾ 29FE F ⦏ 298F ⦟ 299F ⦯ 29AF ⦿ 29BF ⧏ 29CF ⧟ 29DF ⧯ 29EF ⧿ 29FF Mathematical operators Unicode block 2200-22FF 220 221 222 223 224 225 226 227 228 229 22A 22B 22C 22D 22E 22F 0 ∀ 2200 ∐ 2210 ∠ 2220 ∰ 2230 ≀ 2240 ≐ 2250 ≠ 2260 ≰ 2270 ⊀ 2280 ⊐ 2290 ⊠ 22A0 ⊰ 22B0 ⋀ 22C0 ⋐ 22D0 ⋠ 22E0 ⋰ 22F0 1 ∁ 2201 ∑ 2211 ∡ 2221 ∱ 2231 ≁ 2241 ≑ 2251 ≡ 2261 ≱ 2271 ⊁ 2281 ⊑ 2291 ⊡ 22A1 ⊱ 22B1 ⋁ 22C1 ⋑ 22D1 ⋡ 22E1 ⋱ 22F1 2 ∂ 2202 − 2212 ∢ 2222 ∲ 2232 ≂ 2242 ≒ 2252 ≢ 2262 ≲ 2272 ⊂ 2282 ⊒ 2292 ⊢ 22A2 ⊲ 22B2 ⋂ 22C2 ⋒ 22D2 ⋢ 22E2 ⋲ 22F2 3 ∃ 2203 ∓ 2213 ∣ 2223 ∳ 2233 ≃ 2243 ≓ 2253 ≣ 2263 ≳ 2273 ⊃ 2283 ⊓ 2293 ⊣ 22A3 ⊳ 22B3 ⋃ 22C3 ⋓ 22D3 ⋣ 22E3 ⋳ 22F3 4 ∄ 2204 ∔ 2214 ∤ 2224 ∴ 2234 ≄ 2244 ≔ 2254 ≤ 2264 ≴ 2274 ⊄ 2284 ⊔ 2294 ⊤ 22A4 ⊴ 22B4 ⋄ 22C4 ⋔ 22D4 ⋤ 22E4 ⋴ 22F4 5 ∅ 2205 ∕ 2215 ∥ 2225 ∵ 2235 ≅ 2245 ≕ 2255 ≥ 2265 ≵ 2275 ⊅ 2285 ⊕ 2295 ⊥ 22A5 ⊵ 22B5 ⋅ 22C5 ⋕ 22D5 ⋥ 22E5 ⋵ 22F5 6 ∆ 2206 ∖ 2216 ∦ 2226 ∶ 2236 ≆ 2246 ≖ 2256 ≦ 2266 ≶ 2276 ⊆ 2286 ⊖ 2296 ⊦ 22A6 ⊶ 22B6 ⋆ 22C6 ⋖ 22D6 ⋦ 22E6 ⋶ 22F6 7 ∇ 2207 ∗ 2217 ∧ 2227 ∷ 2237 ≇ 2247 ≗ 2257 ≧ 2267 ≷ 2277 ⊇ 2287 ⊗ 2297 ⊧ 22A7 ⊷ 22B7 ⋇ 22C7 ⋗ 22D7 ⋧ 22E7 ⋷ 22F7 8 ∈ 2208 ∘ 2218 ∨ 2228 ∸ 2238 ≈ 2248 ≘ 2258 ≨ 2268 ≸ 2278 ⊈ 2288 ⊘ 2298 ⊨ 22A8 ⊸ 22B8 ⋈ 22C8 ⋘ 22D8 ⋨ 22E8 ⋸ 22F8 9 ∉ 2209 ∙ 2219 ∩ 2229 ∹ 2239 ≉ 2249 ≙ 2259 ≩ 2269 ≹ 2279 ⊉ 2289 ⊙ 2299 ⊩ 22A9 ⊹ 22B9 ⋉ 22C9 ⋙ 22D9 ⋩ 22E9 ⋹ 22F9 A ∊ 220A √ 221A ∪ 222A ∺ 223A ≊ 224A ≚ 225A ≪ 226A ≺ 227A ⊊ 228A ⊚ 229A ⊪ 22AA ⊺ 22BA ⋊ 22CA ⋚ 22DA ⋪ 22EA ⋺ 22FA B ∋ 220B ∛ 221B ∫ 222B ∻ 223B ≋ 224B ≛ 225B ≫ 226B ≻ 227B ⊋ 228B ⊛ 229B ⊫ 22AB ⊻ 22BB ⋋ 22CB ⋛ 22DB ⋫ 22EB ⋻ 22FB C ∌ 220C ∜ 221C ∬ 222C ∼ 223C ≌ 224C ≜ 225C ≬ 226C ≼ 227C ⊌ 228C ⊜ 229C ⊬ 22AC ⊼ 22BC ⋌ 22CC ⋜ 22DC ⋬ 22EC ⋼ 22FC D ∍ 220D ∝ 221D ∭ 222D ∽ 223D ≍ 224D ≝ 225D ≭ 226D ≽ 227D ⊍ 228D ⊝ 229D ⊭ 22AD ⊽ 22BD ⋍ 22CD ⋝ 22DD ⋭ 22ED ⋽ 22FD E ∎ 220E ∞ 221E ∮ 222E ∾ 223E ≎ 224E ≞ 225E ≮ 226E ≾ 227E ⊎ 228E ⊞ 229E ⊮ 22AE ⊾ 22BE ⋎ 22CE ⋞ 22DE ⋮ 22EE ⋾ 22FE F ∏ 220F ∟ 221F ∯ 222F ∿ 223F ≏ 224F ≟ 225F ≯ 226F ≿ 227F ⊏ 228F ⊟ 229F ⊯ 22AF ⊿ 22BF ⋏ 22CF ⋟ 22DF ⋯ 22EF ⋿ 22FF Supplemental math operators Unicode block 2A00-2AFF 2A0 2A1 2A2 2A3 2A4 2A5 2A6 2A7 2A8 2A9 2AA 2AB 2AC 2AD 2AE 2AF 0 ⨀ 2A00 ⨐ 2A10 ⨠ 2A20 ⨰ 2A30 ⩀ 2A40 ⩐ 2A50 ⩠ 2A60 ⩰ 2A70 ⪀ 2A80 ⪐ 2A90 ⪠ 2AA0 ⪰ 2AB0 ⫀ 2AC0 ⫐ 2AD0 ⫠ 2AE0 ⫰ 2AF0 1 ⨁ 2A01 ⨑ 2A11 ⨡ 2A21 ⨱ 2A31 ⩁ 2A41 ⩑ 2A51 ⩡ 2A61 ⩱ 2A71 ⪁ 2A81 ⪑ 2A91 ⪡ 2AA1 ⪱ 2AB1 ⫁ 2AC1 ⫑ 2AD1 ⫡ 2AE1 ⫱ 2AF1 2 ⨂ 2A02 ⨒ 2A12 ⨢ 2A22 ⨲ 2A32 ⩂ 2A42 ⩒ 2A52 ⩢ 2A62 ⩲ 2A72 ⪂ 2A82 ⪒ 2A92 ⪢ 2AA2 ⪲ 2AB2 ⫂ 2AC2 ⫒ 2AD2 ⫢ 2AE2 ⫲ 2AF2 3 ⨃ 2A03 ⨓ 2A13 ⨣ 2A23 ⨳ 2A33 ⩃ 2A43 ⩓ 2A53 ⩣ 2A63 ⩳ 2A73 ⪃ 2A83 ⪓ 2A93 ⪣ 2AA3 ⪳ 2AB3 ⫃ 2AC3 ⫓ 2AD3 ⫣ 2AE3 ⫳ 2AF3 4 ⨄ 2A04 ⨔ 2A14 ⨤ 2A24 ⨴ 2A34 ⩄ 2A44 ⩔ 2A54 ⩤ 2A64 ⩴ 2A74 ⪄ 2A84 ⪔ 2A94 ⪤ 2AA4 ⪴ 2AB4 ⫄ 2AC4 ⫔ 2AD4 ⫤ 2AE4 ⫴ 2AF4 5 ⨅ 2A05 ⨕ 2A15 ⨥ 2A25 ⨵ 2A35 ⩅ 2A45 ⩕ 2A55 ⩥ 2A65 ⩵ 2A75 ⪅ 2A85 ⪕ 2A95 ⪥ 2AA5 ⪵ 2AB5 ⫅ 2AC5 ⫕ 2AD5 ⫥ 2AE5 ⫵ 2AF5 6 ⨆ 2A06 ⨖ 2A16 ⨦ 2A26 ⨶ 2A36 ⩆ 2A46 ⩖ 2A56 ⩦ 2A66 ⩶ 2A76 ⪆ 2A86 ⪖ 2A96 ⪦ 2AA6 ⪶ 2AB6 ⫆ 2AC6 ⫖ 2AD6 ⫦ 2AE6 ⫶ 2AF6 7 ⨇ 2A07 ⨗ 2A17 ⨧ 2A27 ⨷ 2A37 ⩇ 2A47 ⩗ 2A57 ⩧ 2A67 ⩷ 2A77 ⪇ 2A87 ⪗ 2A97 ⪧ 2AA7 ⪷ 2AB7 ⫇ 2AC7 ⫗ 2AD7 ⫧ 2AE7 ⫷ 2AF7 8 ⨈ 2A08 ⨘ 2A18 ⨨ 2A28 ⨸ 2A38 ⩈ 2A48 ⩘ 2A58 ⩨ 2A68 ⩸ 2A78 ⪈ 2A88 ⪘ 2A98 ⪨ 2AA8 ⪸ 2AB8 ⫈ 2AC8 ⫘ 2AD8 ⫨ 2AE8 ⫸ 2AF8 9 ⨉ 2A09 ⨙ 2A19 ⨩ 2A29 ⨹ 2A39 ⩉ 2A49 ⩙ 2A59 ⩩ 2A69 ⩹ 2A79 ⪉ 2A89 ⪙ 2A99 ⪩ 2AA9 ⪹ 2AB9 ⫉ 2AC9 ⫙ 2AD9 ⫩ 2AE9 ⫹ 2AF9 A ⨊ 2A0A ⨚ 2A1A ⨪ 2A2A ⨺ 2A3A ⩊ 2A4A ⩚ 2A5A ⩪ 2A6A ⩺ 2A7A ⪊ 2A8A ⪚ 2A9A ⪪ 2AAA ⪺ 2ABA ⫊ 2ACA ⫚ 2ADA ⫪ 2AEA ⫺ 2AFA B ⨋ 2A0B ⨛ 2A1B ⨫ 2A2B ⨻ 2A3B ⩋ 2A4B ⩛ 2A5B ⩫ 2A6B ⩻ 2A7B ⪋ 2A8B ⪛ 2A9B ⪫ 2AAB ⪻ 2ABB ⫋ 2ACB ⫛ 2ADB ⫫ 2AEB ⫻ 2AFB C ⨌ 2A0C ⨜ 2A1C ⨬ 2A2C ⨼ 2A3C ⩌ 2A4C ⩜ 2A5C ⩬ 2A6C ⩼ 2A7C ⪌ 2A8C ⪜ 2A9C ⪬ 2AAC ⪼ 2ABC ⫌ 2ACC ⫝̸ 2ADC ⫬ 2AEC ⫼ 2AFC D ⨍ 2A0D ⨝ 2A1D ⨭ 2A2D ⨽ 2A3D ⩍ 2A4D ⩝ 2A5D ⩭ 2A6D ⩽ 2A7D ⪍ 2A8D ⪝ 2A9D ⪭ 2AAD ⪽ 2ABD ⫍ 2ACD ⫝ 2ADD ⫭ 2AED ⫽ 2AFD E ⨎ 2A0E ⨞ 2A1E ⨮ 2A2E ⨾ 2A3E ⩎ 2A4E ⩞ 2A5E ⩮ 2A6E ⩾ 2A7E ⪎ 2A8E ⪞ 2A9E ⪮ 2AAE ⪾ 2ABE ⫎ 2ACE ⫞ 2ADE ⫮ 2AEE ⫾ 2AFE F ⨏ 2A0F ⨟ 2A1F ⨯ 2A2F ⨿ 2A3F ⩏ 2A4F ⩟ 2A5F ⩯ 2A6F ⩿ 2A7F ⪏ 2A8F ⪟ 2A9F ⪯ 2AAF ⪿ 2ABF ⫏ 2ACF ⫟ 2ADF ⫯ 2AEF ⫿ 2AFF Previous: Toolbar configuration languageback to Programmer documentation index Table of Contents Overview, characters Overview, MathFlow named characters MathFlow named characters Named characters (PUA) Combining diacritical marks Diacritical marks for symbols Arrows Supplemental arrows-B Miscellaneous math symbols-B Mathematical operators Supplemental math operators