Mathematical Operators (Unicode Block)

Lecture 28 min.



Mathematical Operators — a block of the Unicode standard. It contains symbols for mathematical, logical and set notation.

The plus (+), minus (-), equals (=), greater-than (>) and less-than (<) signs are in the Basic Latin block. The plus-minus (±), multiplication (×) and division (÷) signs are in the Latin-1 Supplement block. To distinguish it from the hyphen, a separate minus sign was added at position U+2212 (−).

List of characters

Code Symbol Name Unicode properties Version
in which
the
character
was added
HTML
Character
category
Combining
class
Bidi
direction
class
Line
break
type
Mne-
monic
Hex Dec
U+2200 ∀ for all Sm 0 ON AI 1.0.0 (1991) ∀ ∀ ∀
U+2201 ∁ complement Sm 0 ON AL 1.0.0 (1991) ∁ ∁ ∁
U+2202 ∂ partial differential Sm 0 ON AI 1.0.0 (1991) ∂ ∂ ∂
U+2203 ∃ there exists Sm 0 ON AI 1.0.0 (1991) ∃ ∃ ∃
U+2204 ∄ there does not exist Sm 0 ON AL 1.0.0 (1991) ∄ ∄ ∄
U+2205 ∅ empty set Sm 0 ON AL 1.0.0 (1991) ∅ ∅ ∅
U+2206 ∆ increment Sm 0 ON AL 1.0.0 (1991) — ∆ ∆
U+2207 ∇ nabla Sm 0 ON AI 1.0.0 (1991) ∇ ∇ ∇
U+2208 ∈ element of Sm 0 ON AI 1.0.0 (1991) ∈ ∈ ∈
U+2209 ∉ not an element of Sm 0 ON AL 1.0.0 (1991) ∉ ∉ ∉
U+220A ∊ small element of Sm 0 ON AL 1.0.0 (1991) — ∊ ∊
U+220B ∋ contains as member Sm 0 ON AI 1.0.0 (1991) ∋ ∋ ∋
U+220C ∌ does not contain as member Sm 0 ON AL 1.0.0 (1991) ∌ ∌ ∌
U+220D ∍ small contains as member Sm 0 ON AL 1.0.0 (1991) — ∍ ∍
U+220E ∎ end of proof Sm 0 ON AL 1.0.0 (1991) — ∎ ∎
U+220F ∏ n-ary product Sm 0 ON AI 1.0.0 (1991) ∏ ∏ ∏
U+2210 ∐ n-ary coproduct Sm 0 ON AL 1.0.0 (1991) ∐ ∐ ∐
U+2211 ∑ n-ary summation Sm 0 ON AI 1.0.0 (1991) ∑ ∑ ∑
U+2212 − minus sign Sm 0 ES PR 1.0.0 (1991) − − −
U+2213 ∓ minus-or-plus sign Sm 0 ET PR 1.0.0 (1991) ∓ ∓ ∓
U+2214 ∔ dot plus Sm 0 ON AL 1.0.0 (1991) ∔ ∔ ∔
U+2215 ∕ division slash Sm 0 ON AI 1.0.0 (1991) — ∕ ∕
U+2216 ∖ set minus Sm 0 ON AL 1.0.0 (1991) ∖ ∖ ∖
U+2217 ∗ asterisk operator Sm 0 ON AL 1.0.0 (1991) ∗ ∗ ∗
U+2218 ∘ ring operator Sm 0 ON AL 1.0.0 (1991) ∘ ∘ ∘
U+2219 ∙ bullet operator Sm 0 ON AL 1.0.0 (1991) — ∙ ∙
U+221A √ square root Sm 0 ON AI 1.0.0 (1991) √ √ √
U+221B ∛ cube root Sm 0 ON AL 1.0.0 (1991) — ∛ ∛
U+221C ∜ fourth root Sm 0 ON AL 1.0.0 (1991) — ∜ ∜
U+221D ∝ proportional to Sm 0 ON AI 1.0.0 (1991) ∝ ∝ ∝
U+221E ∞ infinity Sm 0 ON AI 1.0.0 (1991) ∞ ∞ ∞
U+221F ∟ right angle Sm 0 ON AI 1.0.0 (1991) ∟ ∟ ∟
U+2220 ∠ angle Sm 0 ON AI 1.0.0 (1991) ∠ ∠ ∠
U+2221 ∡ measured angle Sm 0 ON AL 1.0.0 (1991) ∡ ∡ ∡
U+2222 ∢ spherical angle Sm 0 ON AL 1.0.0 (1991) ∢ ∢ ∢
U+2223 ∣ divides Sm 0 ON AI 1.0.0 (1991) ∣ ∣ ∣
U+2224 ∤ does not divide Sm 0 ON AL 1.0.0 (1991) ∤ ∤ ∤
U+2225 ∥ parallel to Sm 0 ON AI 1.0.0 (1991) ∥ ∥ ∥
U+2226 ∦ not parallel to Sm 0 ON AL 1.0.0 (1991) ∦ ∦ ∦
U+2227 ∧ logical and Sm 0 ON AI 1.0.0 (1991) ∧ ∧ ∧
U+2228 ∨ logical or Sm 0 ON AI 1.0.0 (1991) ∨ ∨ ∨
U+2229 ∩ intersection Sm 0 ON AI 1.0.0 (1991) ∩ ∩ ∩
U+222A ∪ union Sm 0 ON AI 1.0.0 (1991) ∪ ∪ ∪
U+222B ∫ integral Sm 0 ON AI 1.0.0 (1991) ∫ ∫ ∫
U+222C ∬ double integral Sm 0 ON AI 1.0.0 (1991) ∬ ∬ ∬
U+222D ∭ triple integral Sm 0 ON AL 1.0.0 (1991) ∭ ∭ ∭
U+222E ∮ contour integral Sm 0 ON AI 1.0.0 (1991) ∮ ∮ ∮
U+222F ∯ surface integral Sm 0 ON AL 1.0.0 (1991) ∯ ∯ ∯
U+2230 ∰ volume integral Sm 0 ON AL 1.0.0 (1991) ∰ ∰ ∰
U+2231 ∱ clockwise integral Sm 0 ON AL 1.0.0 (1991) ∱ ∱ ∱
U+2232 ∲ clockwise contour integral Sm 0 ON AL 1.0.0 (1991) ∲ ∲ ∲
U+2233 ∳ anticlockwise contour integral Sm 0 ON AL 1.0.0 (1991) ∳ ∳ ∳
U+2234 ∴ therefore Sm 0 ON AI 1.0.0 (1991) ∴ ∴ ∴
U+2235 ∵ because Sm 0 ON AI 1.0.0 (1991) ∵ ∵ ∵
U+2236 ∶ ratio Sm 0 ON AI 1.0.0 (1991) ∶ ∶ ∶
U+2237 ∷ proportion Sm 0 ON AI 1.0.0 (1991) ∷ ∷ ∷
U+2238 ∸ dot minus Sm 0 ON AL 1.0.0 (1991) ∸ ∸ ∸
U+2239 ∹ excess Sm 0 ON AL 1.0.0 (1991) — ∹ ∹
U+223A ∺ geometric proportion Sm 0 ON AL 1.0.0 (1991) ∺ ∺ ∺
U+223B ∻ homothetic Sm 0 ON AL 1.0.0 (1991) ∻ ∻ ∻
U+223C ∼ tilde operator Sm 0 ON AI 1.0.0 (1991) ∼ ∼ ∼
U+223D ∽ reversed tilde Sm 0 ON AI 1.0.0 (1991) ∽ ∽ ∽
U+223E ∾ inverted lazy s Sm 0 ON AL 1.0.0 (1991) ∾ ∾ ∾
U+223F ∿ sine wave Sm 0 ON AL 1.0.0 (1991) ∿ ∿ ∿
U+2240 ≀ wreath product Sm 0 ON AL 1.0.0 (1991) ≀ ≀ ≀
U+2241 ≁ not tilde Sm 0 ON AL 1.0.0 (1991) ≁ ≁ ≁
U+2242 ≂ minus tilde Sm 0 ON AL 1.0.0 (1991) ≂ ≂ ≂
U+2243 ≃ asymptotically equal to Sm 0 ON AL 1.0.0 (1991) ≃ ≃ ≃
U+2244 ≄ not asymptotically equal to Sm 0 ON AL 1.0.0 (1991) ≄ ≄ ≄
U+2245 ≅ approximately equal to Sm 0 ON AL 1.0.0 (1991) ≅ ≅ ≅
U+2246 ≆ approximately but equal to Sm 0 ON AL 1.0.0 (1991) ≆ ≆ ≆
U+2247 ≇ neither approximately not actually equal to Sm 0 ON AL 1.0.0 (1991) ≇ ≇ ≇
U+2248 ≈ almost equal to Sm 0 ON AI 1.0.0 (1991) ≈ ≈ ≈
U+2249 ≉ not almost equal to Sm 0 ON AL 1.0.0 (1991) ≉ ≉ ≉
U+224A ≊ almost equal or equal to Sm 0 ON AL 1.0.0 (1991) ≊ ≊ ≊
U+224B ≋ triple tilde Sm 0 ON AL 1.0.0 (1991) ≋ ≋ ≋
U+224C ≌ all equal to Sm 0 ON AI 1.0.0 (1991) ≌ ≌ ≌
U+224D ≍ equivalent to Sm 0 ON AL 1.0.0 (1991) ≍ ≍ ≍
U+224E ≎ geometrically equivalent to Sm 0 ON AL 1.0.0 (1991) ≎ ≎ ≎
U+224F ≏ difference between Sm 0 ON AL 1.0.0 (1991) ≏ ≏ ≏
U+2250 ≐ approaches the limit Sm 0 ON AL 1.0.0 (1991) ≐ ≐ ≐
U+2251 ≑ geometrically equal to Sm 0 ON AL 1.0.0 (1991) ≑ ≑ ≑
U+2252 ≒ approximately equal to or the image of Sm 0 ON AI 1.0.0 (1991) ≒ ≒ ≒
U+2253 ≓ image of or approximately equal to Sm 0 ON AL 1.0.0 (1991) ≓ ≓ ≓
U+2254 ≔ colon equals Sm 0 ON AL 1.0.0 (1991) ≔ ≔ ≔
U+2255 ≕ equals colon Sm 0 ON AL 1.0.0 (1991) ≕ ≕ ≕
U+2256 ≖ ring in equal to Sm 0 ON AL 1.0.0 (1991) ≖ ≖ ≖
U+2257 ≗ ring equal to Sm 0 ON AL 1.0.0 (1991) ≗ ≗ ≗
U+2258 ≘ corresponds to Sm 0 ON AL 1.0.0 (1991) — ≘ ≘
U+2259 ≙ estimates Sm 0 ON AL 1.0.0 (1991) ≙ ≙ ≙
U+225A ≚ equiangular to Sm 0 ON AL 1.0.0 (1991) ≚ ≚ ≚
U+225B ≛ star equals Sm 0 ON AL 1.0.0 (1991) — ≛ ≛
U+225C ≜ delta equal to Sm 0 ON AL 1.0.0 (1991) ≜ ≜ ≜
U+225D ≝ equal to by definition Sm 0 ON AL 1.0.0 (1991) — ≝ ≝
U+225E ≞ measured by Sm 0 ON AL 1.0.0 (1991) — ≞ ≞
U+225F ≟ questioned equal to Sm 0 ON AL 1.0.0 (1991) ≟ ≟ ≟
U+2260 ≠ not equal to Sm 0 ON AI 1.0.0 (1991) ≠ ≠ ≠
U+2261 ≡ identical to Sm 0 ON AI 1.0.0 (1991) ≡ ≡ ≡
U+2262 ≢ not identical to Sm 0 ON AL 1.0.0 (1991) ≢ ≢ ≢
U+2263 ≣ strictly identical to Sm 0 ON AL 1.0.0 (1991) — ≣ ≣
U+2264 ≤ less-than or equal to Sm 0 ON AI 1.0.0 (1991) ≤ ≤ ≤
U+2265 ≥ greater-than or equal to Sm 0 ON AI 1.0.0 (1991) ≥ ≥ ≥
U+2266 ≦ less-than over equal to Sm 0 ON AI 1.0.0 (1991) ≦ ≦ ≦
U+2267 ≧ greater-than over equal to Sm 0 ON AI 1.0.0 (1991) ≧ ≧ ≧
U+2268 ≨ less-than but not equal to Sm 0 ON AL 1.0.0 (1991) ≨ ≨ ≨
U+2269 ≩ greater-than but not equal to Sm 0 ON AL 1.0.0 (1991) ≩ ≩ ≩
U+226A ≪ much less-than Sm 0 ON AI 1.0.0 (1991) ≪ ≪ ≪
U+226B ≫ much greater-than Sm 0 ON AI 1.0.0 (1991) ≫ ≫ ≫
U+226C ≬ between Sm 0 ON AL 1.0.0 (1991) ≬ ≬ ≬
U+226D ≭ not equivalent to Sm 0 ON AL 1.0.0 (1991) ≭ ≭ ≭
U+226E ≮ not less-than Sm 0 ON AI 1.0.0 (1991) ≮ ≮ ≮
U+226F ≯ not greater-than Sm 0 ON AI 1.0.0 (1991) ≯ ≯ ≯
U+2270 ≰ neither less-than nor equal to Sm 0 ON AL 1.0.0 (1991) ≰ ≰ ≰
U+2271 ≱ neither greater-than nor equal to Sm 0 ON AL 1.0.0 (1991) ≱ ≱ ≱
U+2272 ≲ less-than or equivalent to Sm 0 ON AL 1.0.0 (1991) ≲ ≲ ≲
U+2273 ≳ greater-than or equivalent to Sm 0 ON AL 1.0.0 (1991) ≳ ≳ ≳
U+2274 ≴ neither less-than nor equivalent to Sm 0 ON AL 1.0.0 (1991) ≴ ≴ ≴
U+2275 ≵ neither greater-than nor equivalent to Sm 0 ON AL 1.0.0 (1991) ≵ ≵ ≵
U+2276 ≶ less-than or greater-than Sm 0 ON AL 1.0.0 (1991) ≶ ≶ ≶
U+2277 ≷ greater-than or less than Sm 0 ON AL 1.0.0 (1991) ≷ ≷ ≷
U+2278 ≸ neither less-than nor greater-than Sm 0 ON AL 1.0.0 (1991) ≸ ≸ ≸
U+2279 ≹ neither greater-than nor less than Sm 0 ON AL 1.0.0 (1991) ≹ ≹ ≹
U+227A ≺ precedes Sm 0 ON AL 1.0.0 (1991) ≺ ≺ ≺
U+227B ≻ succeeds Sm 0 ON AL 1.0.0 (1991) ≻ ≻ ≻
U+227C ≼ precedes or equal to Sm 0 ON AL 1.0.0 (1991) ≼ ≼ ≼
U+227D ≽ succeeds or equal to Sm 0 ON AL 1.0.0 (1991) ≽ ≽ ≽
U+227E ≾ precedes or equivalent to Sm 0 ON AL 1.0.0 (1991) ≾ ≾ ≾
U+227F ≿ succeeds or equivalent to Sm 0 ON AL 1.0.0 (1991) ≿ ≿ ≿
U+2280 ⊀ does not precede Sm 0 ON AL 1.0.0 (1991) ⊀ ⊀ ⊀
U+2281 ⊁ does not succeed Sm 0 ON AL 1.0.0 (1991) ⊁ ⊁ ⊁
U+2282 ⊂ subset of Sm 0 ON AI 1.0.0 (1991) ⊂ ⊂ ⊂
U+2283 ⊃ superset of Sm 0 ON AI 1.0.0 (1991) ⊃ ⊃ ⊃
U+2284 ⊄ not a subset of Sm 0 ON AL 1.0.0 (1991) ⊄ ⊄ ⊄
U+2285 ⊅ not a superset of Sm 0 ON AL 1.0.0 (1991) ⊅ ⊅ ⊅
U+2286 ⊆ subset of or equal to Sm 0 ON AI 1.0.0 (1991) ⊆ ⊆ ⊆
U+2287 ⊇ superset of or equal to Sm 0 ON AI 1.0.0 (1991) ⊇ ⊇ ⊇
U+2288 ⊈ neither a subset of nor equal to Sm 0 ON AL 1.0.0 (1991) ⊈ ⊈ ⊈
U+2289 ⊉ neither a superset of nor equal to Sm 0 ON AL 1.0.0 (1991) ⊉ ⊉ ⊉
U+228A ⊊ subset of with not equal to Sm 0 ON AL 1.0.0 (1991) ⊊ ⊊ ⊊
U+228B ⊋ superset of with not equal to Sm 0 ON AL 1.0.0 (1991) ⊋ ⊋ ⊋
U+228C ⊌ multiset Sm 0 ON AL 1.0.0 (1991) — ⊌ ⊌
U+228D ⊍ multiset multiplication Sm 0 ON AL 1.0.0 (1991) ⊍ ⊍ ⊍
U+228E ⊎ multiset union Sm 0 ON AL 1.0.0 (1991) ⊎ ⊎ ⊎
U+228F ⊏ square image of Sm 0 ON AL 1.0.0 (1991) ⊏ ⊏ ⊏
U+2290 ⊐ square original of Sm 0 ON AL 1.0.0 (1991) ⊐ ⊐ ⊐
U+2291 ⊑ square image of or equal to Sm 0 ON AL 1.0.0 (1991) ⊑ ⊑ ⊑
U+2292 ⊒ square original of or equal to Sm 0 ON AL 1.0.0 (1991) ⊒ ⊒ ⊒
U+2293 ⊓ square cap Sm 0 ON AL 1.0.0 (1991) ⊓ ⊓ ⊓
U+2294 ⊔ square cup Sm 0 ON AL 1.0.0 (1991) ⊔ ⊔ ⊔
U+2295 ⊕ circled plus Sm 0 ON AI 1.0.0 (1991) ⊕ ⊕ ⊕
U+2296 ⊖ circled minus Sm 0 ON AL 1.0.0 (1991) ⊖ ⊖ ⊖
U+2297 ⊗ circled times Sm 0 ON AL 1.0.0 (1991) ⊗ ⊗ ⊗
U+2298 ⊘ circled division slash Sm 0 ON AL 1.0.0 (1991) ⊘ ⊘ ⊘
U+2299 ⊙ circled dot operator Sm 0 ON AI 1.0.0 (1991) &osot; ⊙ ⊙
U+229A ⊚ circled ring operator Sm 0 ON AL 1.0.0 (1991) ⊚ ⊚ ⊚
U+229B ⊛ circled asterisk operator Sm 0 ON AL 1.0.0 (1991) ⊛ ⊛ ⊛
U+229C ⊜ circled equals Sm 0 ON AL 1.0.0 (1991) — ⊜ ⊜
U+229D ⊝ circled dash Sm 0 ON AL 1.0.0 (1991) ⊝ ⊝ ⊝
U+229E ⊞ squared plus Sm 0 ON AL 1.0.0 (1991) ⊞ ⊞ ⊞
U+229F ⊟ squared minus Sm 0 ON AL 1.0.0 (1991) ⊟ ⊟ ⊟
U+22A0 ⊠ squared times Sm 0 ON AL 1.0.0 (1991) ⊠ ⊠ ⊠
U+22A1 ⊡ squared dot operator Sm 0 ON AL 1.0.0 (1991) ⊡ ⊡ ⊡
U+22A2 ⊢ right tack Sm 0 ON AL 1.0.0 (1991) ⊢ ⊢ ⊢
U+22A3 ⊣ left tack Sm 0 ON AL 1.0.0 (1991) ⊣ ⊣ ⊣
U+22A4 ⊤ down tack Sm 0 ON AL 1.0.0 (1991) ⊤ ⊤ ⊤
U+22A5 ⊥ up tack Sm 0 ON AI 1.0.0 (1991) ⊥ ⊥ ⊥
U+22A6 ⊦ assertion Sm 0 ON AL 1.0.0 (1991) — ⊦ ⊦
U+22A7 ⊧ models Sm 0 ON AL 1.0.0 (1991) ⊧ ⊧ ⊧
U+22A8 ⊨ true Sm 0 ON AL 1.0.0 (1991) ⊨ ⊨ ⊨
U+22A9 ⊩ forces Sm 0 ON AL 1.0.0 (1991) ⊩ ⊩ ⊩
U+22AA ⊪ triple vertical bar right turnstile Sm 0 ON AL 1.0.0 (1991) ⊪ ⊪ ⊪
U+22AB ⊫ double vertical bar double right turnstile Sm 0 ON AL 1.0.0 (1991) ⊫ ⊫ ⊫
U+22AC ⊬ does not prove Sm 0 ON AL 1.0.0 (1991) ⊬ ⊬ ⊬
U+22AD ⊭ not true Sm 0 ON AL 1.0.0 (1991) ⊭ ⊭ ⊭
U+22AE ⊮ does not force Sm 0 ON AL 1.0.0 (1991) ⊮ ⊮ ⊮
U+22AF ⊯ negated double vertical bar double right turnstile Sm 0 ON AL 1.0.0 (1991) ⊯ ⊯ ⊯
U+22B0 ⊰ precedes under relation Sm 0 ON AL 1.0.0 (1991) ⊰ ⊰ ⊰
U+22B1 ⊱ succeeds under relation Sm 0 ON AL 1.0.0 (1991) — ⊱ ⊱
U+22B2 ⊲ normal subgroup of Sm 0 ON AL 1.0.0 (1991) ⊲ ⊲ ⊲
U+22B3 ⊳ contains as normal subgroup Sm 0 ON AL 1.0.0 (1991) ⊳ ⊳ ⊳
U+22B4 ⊴ normal subgroup of or equal to Sm 0 ON AL 1.0.0 (1991) ⊴ ⊴ ⊴
U+22B5 ⊵ contains as normal subgroup or equal to Sm 0 ON AL 1.0.0 (1991) ⊵ ⊵ ⊵
U+22B6 ⊶ original of Sm 0 ON AL 1.0.0 (1991) ⊶ ⊶ ⊶
U+22B7 ⊷ image of Sm 0 ON AL 1.0.0 (1991) ⊷ ⊷ ⊷
U+22B8 ⊸ multimap Sm 0 ON AL 1.0.0 (1991) ⊸ ⊸ ⊸
U+22B9 ⊹ hermitian conjugate matrix Sm 0 ON AL 1.0.0 (1991) ⊹ ⊹ ⊹
U+22BA ⊺ intercalate Sm 0 ON AL 1.0.0 (1991) ⊺ ⊺ ⊺
U+22BB ⊻ xor Sm 0 ON AL 1.0.0 (1991) ⊻ ⊻ ⊻
U+22BC ⊼ nand Sm 0 ON AL 1.0.0 (1991) — ⊼ ⊼
U+22BD ⊽ nor Sm 0 ON AL 1.0.0 (1991) ⊽ ⊽ ⊽
U+22BE ⊾ right angle with arc Sm 0 ON AL 1.0.0 (1991) ⊾ ⊾ ⊾
U+22BF ⊿ right triangle Sm 0 ON AI 1.0.0 (1991) ⊿ ⊿ ⊿
U+22C0 ⋀ n-ary logical and Sm 0 ON AL 1.0.0 (1991) ⋀ ⋀ ⋀
U+22C1 ⋁ n-ary logical or Sm 0 ON AL 1.0.0 (1991) ⋁ ⋁ ⋁
U+22C2 ⋂ n-ary intersection Sm 0 ON AL 1.0.0 (1991) ⋂ ⋂ ⋂
U+22C3 ⋃ n-ary union Sm 0 ON AL 1.0.0 (1991) ⋃ ⋃ ⋃
U+22C4 ⋄ diamond operator Sm 0 ON AL 1.0.0 (1991) ⋄ ⋄ ⋄
U+22C5 ⋅ dot operator Sm 0 ON AL 1.0.0 (1991) ⋅ ⋅ ⋅
U+22C6 ⋆ star operator Sm 0 ON AL 1.0.0 (1991) ⋆ ⋆ ⋆
U+22C7 ⋇ division times Sm 0 ON AL 1.0.0 (1991) ⋇ ⋇ ⋇
U+22C8 ⋈ bowtie Sm 0 ON AL 1.0.0 (1991) ⋈ ⋈ ⋈
U+22C9 ⋉ left normal factor semidirect product Sm 0 ON AL 1.0.0 (1991) ⋉ ⋉ ⋉
U+22CA ⋊ right normal factor semidirect product Sm 0 ON AL 1.0.0 (1991) ⋊ ⋊ ⋊
U+22CB ⋋ left semidirect product Sm 0 ON AL 1.0.0 (1991) ⋋ ⋋ ⋋
U+22CC ⋌ right semidirect product Sm 0 ON AL 1.0.0 (1991) ⋌ ⋌ ⋌
U+22CD ⋍ reversed tilde equals Sm 0 ON AL 1.0.0 (1991) ⋍ ⋍ ⋍
U+22CE ⋎ curly logical or Sm 0 ON AL 1.0.0 (1991) ⋎ ⋎ ⋎
U+22CF ⋏ curly logical and Sm 0 ON AL 1.0.0 (1991) ⋏ ⋏ ⋏
U+22D0 ⋐ double subset Sm 0 ON AL 1.0.0 (1991) ⋐ ⋐ ⋐
U+22D1 ⋑ double superset Sm 0 ON AL 1.0.0 (1991) ⋑ ⋑ ⋑
U+22D2 ⋒ double intersection Sm 0 ON AL 1.0.0 (1991) ⋒ ⋒ ⋒
U+22D3 ⋓ double union Sm 0 ON AL 1.0.0 (1991) ⋓ ⋓ ⋓
U+22D4 ⋔ pitchfork Sm 0 ON AL 1.0.0 (1991) ⋔ ⋔ ⋔
U+22D5 ⋕ equal and parallel to Sm 0 ON AL 1.0.0 (1991) ⋕ ⋕ ⋕
U+22D6 ⋖ less-than with dot Sm 0 ON AL 1.0.0 (1991) ⋖ ⋖ ⋖
U+22D7 ⋗ greater-than with dot Sm 0 ON AL 1.0.0 (1991) ⋗ ⋗ ⋗
U+22D8 ⋘ very much less-than Sm 0 ON AL 1.0.0 (1991) ⋘ ⋘ ⋘
U+22D9 ⋙ very much greater-than Sm 0 ON AL 1.0.0 (1991) ⋙ ⋙ ⋙
U+22DA ⋚ less-than equal to or greater-than Sm 0 ON AL 1.0.0 (1991) ⋚ ⋚ ⋚
U+22DB ⋛ greater-than equal to or less-than Sm 0 ON AL 1.0.0 (1991) ⋛ ⋛ ⋛
U+22DC ⋜ equal to or less-than Sm 0 ON AL 1.0.0 (1991) — ⋜ ⋜
U+22DD ⋝ equal to or greater-than Sm 0 ON AL 1.0.0 (1991) — ⋝ ⋝
U+22DE ⋞ equal to or precedes Sm 0 ON AL 1.0.0 (1991) ⋞ ⋞ ⋞
U+22DF ⋟ equal to or succeeds Sm 0 ON AL 1.0.0 (1991) ⋟ ⋟ ⋟
U+22E0 ⋠ does not precede or equal to Sm 0 ON AL 1.0.0 (1991) ⋠ ⋠ ⋠
U+22E1 ⋡ does not succeed or equal to Sm 0 ON AL 1.0.0 (1991) ⋡ ⋡ ⋡
U+22E2 ⋢ not square image of or equal to Sm 0 ON AL 1.0.0 (1991) ⋢ ⋢ ⋢
U+22E3 ⋣ not square original of or equal to Sm 0 ON AL 1.0.0 (1991) ⋣ ⋣ ⋣
U+22E4 ⋤ square image of or not equal to Sm 0 ON AL 1.0.0 (1991) — ⋤ ⋤
U+22E5 ⋥ square original of or not equal to Sm 0 ON AL 1.0.0 (1991) — ⋥ ⋥
U+22E6 ⋦ less-than but not equivalent to Sm 0 ON AL 1.0.0 (1991) ⋦ ⋦ ⋦
U+22E7 ⋧ greater-than but not equivalent to Sm 0 ON AL 1.0.0 (1991) ⋧ ⋧ ⋧
U+22E8 ⋨ precedes but not equivalent to Sm 0 ON AL 1.0.0 (1991) ⋨ ⋨ ⋨
U+22E9 ⋩ succeeds but not equivalent to Sm 0 ON AL 1.0.0 (1991) ⋩ ⋩ ⋩
U+22EA ⋪ not normal subgroup of Sm 0 ON AL 1.0.0 (1991) ⋪ ⋪ ⋪
U+22EB ⋫ does not contain as normal subgroup Sm 0 ON AL 1.0.0 (1991) ⋫ ⋫ ⋫
U+22EC ⋬ normal subgroup of or equal to Sm 0 ON AL 1.0.0 (1991) ⋬ ⋬ ⋬
U+22ED ⋭ contains as normal subgroup or equal to Sm 0 ON AL 1.0.0 (1991) ⋭ ⋭ ⋭
U+22EE ⋮ vertical ellipsis Sm 0 ON AL 1.0.0 (1991) ⋮ ⋮ ⋮
U+22EF ⋯ middle horizontal ellipsis Sm 0 ON IN 1.0.0 (1991) ⋯ ⋯ ⋯
U+22F0 ⋰ up right diagonal ellipsis Sm 0 ON AL 1.0.0 (1991) ⋰ ⋰ ⋰
U+22F1 ⋱ down right diagonal ellipsis Sm 0 ON AL 1.0.0 (1991) ⋱ ⋱ ⋱
U+22F2 ⋲ element of with long horizontal stroke Sm 0 ON AL 3.2 (2002) ⋲ ⋲ ⋲
U+22F3 ⋳ element of with vertical bar at end of horizontal stroke Sm 0 ON AL 3.2 (2002) ⋳ ⋳ ⋳
U+22F4 ⋴ small element of with vertical bar at end of horizontal stroke Sm 0 ON AL 3.2 (2002) ⋴ ⋴ ⋴
U+22F5 ⋵ element of with dot above Sm 0 ON AL 3.2 (2002) ⋵ ⋵ ⋵
U+22F6 ⋶ element of with overbar Sm 0 ON AL 3.2 (2002) ⋶ ⋶ ⋶
U+22F7 ⋷ small element of with overbar Sm 0 ON AL 3.2 (2002) ⋷ ⋷ ⋷
U+22F8 ⋸ element of with underbar Sm 0 ON AL 3.2 (2002) — ⋸ ⋸
U+22F9 ⋹ element of with two horizontal strokes Sm 0 ON AL 3.2 (2002) ⋹ ⋹ ⋹
U+22FA ⋺ contains with long horizontal stroke Sm 0 ON AL 3.2 (2002) ⋺ ⋺ ⋺
U+22FB ⋻ contains with vertical bar at end of horizontal stroke Sm 0 ON AL 3.2 (2002) ⋻ ⋻ ⋻
U+22FC ⋼ small contains with vertical bar at end of horizontal stroke Sm 0 ON AL 3.2 (2002) ⋼ ⋼ ⋼
U+22FD ⋽ contains with overbar Sm 0 ON AL 3.2 (2002) ⋽ ⋽ ⋽
U+22FE ⋾ small contains with overbar Sm 0 ON AL 3.2 (2002) ⋾ ⋾ ⋾
U+22FF ⋿ z notation bag membership Sm 0 ON AL 3.2 (2002) — ⋿ ⋿

Compact table

Mathematical Operators
Official Unicode Consortium code chart (PDF)
0 1 2 3 4 5 6 7 8 9 A B C D E F
U+220x ∀ ∁ ∂ ∃ ∄ ∅ ∆ ∇ ∈ ∉ ∊ ∋ ∌ ∍ ∎ ∏
U+221x ∐ ∑ − ∓ ∔ ∕ ∖ ∗ ∘ ∙ √ ∛ ∜ ∝ ∞ ∟
U+222x ∠ ∡ ∢ ∣ ∤ ∥ ∦ ∧ ∨ ∩ ∪ ∫ ∬ ∭ ∮ ∯
U+223x ∰ ∱ ∲ ∳ ∴ ∵ ∶ ∷ ∸ ∹ ∺ ∻ ∼ ∽ ∾ ∿
U+224x ≀ ≁ ≂ ≃ ≄ ≅ ≆ ≇ ≈ ≉ ≊ ≋ ≌ ≍ ≎ ≏
U+225x ≐ ≑ ≒ ≓ ≔ ≕ ≖ ≗ ≘ ≙ ≚ ≛ ≜ ≝ ≞ ≟
U+226x ≠ ≡ ≢ ≣ ≤ ≥ ≦ ≧ ≨ ≩ ≪ ≫ ≬ ≭ ≮ ≯
U+227x ≰ ≱ ≲ ≳ ≴ ≵ ≶ ≷ ≸ ≹ ≺ ≻ ≼ ≽ ≾ ≿
U+228x ⊀ ⊁ ⊂ ⊃ ⊄ ⊅ ⊆ ⊇ ⊈ ⊉ ⊊ ⊋ ⊌ ⊍ ⊎ ⊏
U+229x ⊐ ⊑ ⊒ ⊓ ⊔ ⊕ ⊖ ⊗ ⊘ ⊙ ⊚ ⊛ ⊜ ⊝ ⊞ ⊟
U+22Ax ⊠ ⊡ ⊢ ⊣ ⊤ ⊥ ⊦ ⊧ ⊨ ⊩ ⊪ ⊫ ⊬ ⊭ ⊮ ⊯
U+22Bx ⊰ ⊱ ⊲ ⊳ ⊴ ⊵ ⊶ ⊷ ⊸ ⊹ ⊺ ⊻ ⊼ ⊽ ⊾ ⊿
U+22Cx ⋀ ⋁ ⋂ ⋃ ⋄ ⋅ ⋆ ⋇ ⋈ ⋉ ⋊ ⋋ ⋌ ⋍ ⋎ ⋏
U+22Dx ⋐ ⋑ ⋒ ⋓ ⋔ ⋕ ⋖ ⋗ ⋘ ⋙ ⋚ ⋛ ⋜ ⋝ ⋞ ⋟
U+22Ex ⋠ ⋡ ⋢ ⋣ ⋤ ⋥ ⋦ ⋧ ⋨ ⋩ ⋪ ⋫ ⋬ ⋭ ⋮ ⋯
U+22Fx ⋰ ⋱ ⋲ ⋳ ⋴ ⋵ ⋶ ⋷ ⋸ ⋹ ⋺ ⋻ ⋼ ⋽ ⋾ ⋿
Notes

1.^ As of version 15.0.

Supplemental Mathematical Operators

Miscellaneous Mathematical Symbols-B — a block of the Unicode standard. It contains various mathematical symbols, including n-ary operators, summations and integrals, intersections and unions, logical and relational operators, as well as subset/superset relations.

List of characters

Code Symbol Name Unicode properties Version
in which
the
character
was added
HTML
Character
category
Combining
class
Bidi
direction
class
Line
break
type
Mne-
monic
Hex Dec
U+2A00 ⨀ n-ary circled dot operator Sm 0 ON AL 3.2 (2002) ⨀ ⨀ ⨀
U+2A01 ⨁ n-ary circled plus operator Sm 0 ON AL 3.2 (2002) ⨁ ⨁ ⨁
U+2A02 ⨂ n-ary circled times operator Sm 0 ON AL 3.2 (2002) ⨂ ⨂ ⨂
U+2A03 ⨃ n-ary union operator with dot Sm 0 ON AL 3.2 (2002) — ⨃ ⨃
U+2A04 ⨄ n-ary union operator with plus Sm 0 ON AL 3.2 (2002) ⨄ ⨄ ⨄
U+2A05 ⨅ n-ary square intersection operator Sm 0 ON AL 3.2 (2002) — ⨅ ⨅
U+2A06 ⨆ n-ary square union operator Sm 0 ON AL 3.2 (2002) ⨆ ⨆ ⨆
U+2A07 ⨇ two logical and operator Sm 0 ON AL 3.2 (2002) — ⨇ ⨇
U+2A08 ⨈ two logical or operator Sm 0 ON AL 3.2 (2002) — ⨈ ⨈
U+2A09 ⨉ n-ary times operator Sm 0 ON AL 3.2 (2002) — ⨉ ⨉
U+2A0A ⨊ modulo two sum Sm 0 ON AL 3.2 (2002) — ⨊ ⨊
U+2A0B ⨋ summation with integral Sm 0 ON AL 3.2 (2002) — ⨋ ⨋
U+2A0C ⨌ quadruple integral operator Sm 0 ON AL 3.2 (2002) ⨌ ⨌ ⨌
U+2A0D ⨍ finite part integral Sm 0 ON AL 3.2 (2002) ⨍ ⨍ ⨍
U+2A0E ⨎ integral with double stroke Sm 0 ON AL 3.2 (2002) — ⨎ ⨎
U+2A0F ⨏ integral average with slash Sm 0 ON AL 3.2 (2002) — ⨏ ⨏
U+2A10 ⨐ circulation function Sm 0 ON AL 3.2 (2002) ⨐ ⨐ ⨐
U+2A11 ⨑ anticlockwise integration Sm 0 ON AL 3.2 (2002) ⨑ ⨑ ⨑
U+2A12 ⨒ line integration with rectangular path around pole Sm 0 ON AL 3.2 (2002) ⨒ ⨒ ⨒
U+2A13 ⨓ line integration with semicircular path around pole Sm 0 ON AL 3.2 (2002) ⨓ ⨓ ⨓
U+2A14 ⨔ line integration not including the pole Sm 0 ON AL 3.2 (2002) ⨔ ⨔ ⨔
U+2A15 ⨕ integral around a point operator Sm 0 ON AL 3.2 (2002) ⨕ ⨕ ⨕
U+2A16 ⨖ quaternion integral operator Sm 0 ON AL 3.2 (2002) ⨖ ⨖ ⨖
U+2A17 ⨗ integral with leftwards arrow with hook Sm 0 ON AL 3.2 (2002) ⨗ ⨗ ⨗
U+2A18 ⨘ integral with times sign Sm 0 ON AL 3.2 (2002) — ⨘ ⨘
U+2A19 ⨙ integral with intersection Sm 0 ON AL 3.2 (2002) — ⨙ ⨙
U+2A1A ⨚ integral with union Sm 0 ON AL 3.2 (2002) — ⨚ ⨚
U+2A1B ⨛ integral with overbar Sm 0 ON AL 3.2 (2002) — ⨛ ⨛
U+2A1C ⨜ integral with underbar Sm 0 ON AL 3.2 (2002) — ⨜ ⨜
U+2A1D ⨝ join Sm 0 ON AL 3.2 (2002) — ⨝ ⨝
U+2A1E ⨞ large left triangle operator Sm 0 ON AL 3.2 (2002) — ⨞ ⨞
U+2A1F ⨟ z notation schema composition Sm 0 ON AL 3.2 (2002) — ⨟ ⨟
U+2A20 ⨠ z notation schema piping Sm 0 ON AL 3.2 (2002) — ⨠ ⨠
U+2A21 ⨡ z notation schema projection Sm 0 ON AL 3.2 (2002) — ⨡ ⨡
U+2A22 ⨢ plus sign with small circle above Sm 0 ON AL 3.2 (2002) ⨢ ⨢ ⨢
U+2A23 ⨣ plus sign with circumflex accent above Sm 0 ON AL 3.2 (2002) ⨣ ⨣ ⨣
U+2A24 ⨤ plus sign with tilde above Sm 0 ON AL 3.2 (2002) ⨤ ⨤ ⨤
U+2A25 ⨥ plus sign with dot below Sm 0 ON AL 3.2 (2002) ⨥ ⨥ ⨥
U+2A26 ⨦ plus sign with tilde below Sm 0 ON AL 3.2 (2002) ⨦ ⨦ ⨦
U+2A27 ⨧ plus sign with subscript two Sm 0 ON AL 3.2 (2002) ⨧ ⨧ ⨧
U+2A28 ⨨ plus sign with black triangle Sm 0 ON AL 3.2 (2002) — ⨨ ⨨
U+2A29 ⨩ minus sign with comma above Sm 0 ON AL 3.2 (2002) ⨩ ⨩ ⨩
U+2A2A ⨪ minus sign with dot below Sm 0 ON AL 3.2 (2002) ⨪ ⨪ ⨪
U+2A2B ⨫ minus sign with falling dots Sm 0 ON AL 3.2 (2002) — ⨫ ⨫
U+2A2C ⨬ minus sign with rising dots Sm 0 ON AL 3.2 (2002) — ⨬ ⨬
U+2A2D ⨭ plus sign in left half circle Sm 0 ON AL 3.2 (2002) ⨭ ⨭ ⨭
U+2A2E ⨮ plus sign in right half circle Sm 0 ON AL 3.2 (2002) ⨮ ⨮ ⨮
U+2A2F ⨯ vector or cross product Sm 0 ON AL 3.2 (2002) ⨯ ⨯ ⨯
U+2A30 ⨰ multiplication sign with dot above Sm 0 ON AL 3.2 (2002) ⨰ ⨰ ⨰
U+2A31 ⨱ multiplication sign with underbar Sm 0 ON AL 3.2 (2002) ⨱ ⨱ ⨱
U+2A32 ⨲ semidirect product with bottom closed Sm 0 ON AL 3.2 (2002) — ⨲ ⨲
U+2A33 ⨳ smash product Sm 0 ON AL 3.2 (2002) ⨳ ⨳ ⨳
U+2A34 ⨴ multiplication sign in left half circle Sm 0 ON AL 3.2 (2002) ⨴ ⨴ ⨴
U+2A35 ⨵ multiplication sign in right half circle Sm 0 ON AL 3.2 (2002) ⨵ ⨵ ⨵
U+2A36 ⨶ circled multiplication sign with circumflex accent above Sm 0 ON AL 3.2 (2002) ⨶ ⨶ ⨶
U+2A37 ⨷ multiplication sign in double circle Sm 0 ON AL 3.2 (2002) ⨷ ⨷ ⨷
U+2A38 ⨸ circled division sign Sm 0 ON AL 3.2 (2002) ⨸ ⨸ ⨸
U+2A39 ⨹ plus sign in triangle Sm 0 ON AL 3.2 (2002) ⨹ ⨹ ⨹
U+2A3A ⨺ minus sign in triangle Sm 0 ON AL 3.2 (2002) ⨺ ⨺ ⨺
U+2A3B ⨻ multiplication sign in triangle Sm 0 ON AL 3.2 (2002) ⨻ ⨻ ⨻
U+2A3C ⨼ interior product Sm 0 ON AL 3.2 (2002) ⨼ ⨼ ⨼
U+2A3D ⨽ righthand interior product Sm 0 ON AL 3.2 (2002) — ⨽ ⨽
U+2A3E ⨾ z notation relational composition Sm 0 ON AL 3.2 (2002) — ⨾ ⨾
U+2A3F ⨿ amalgamation or coproduct Sm 0 ON AL 3.2 (2002) ⨿ ⨿ ⨿
U+2A40 ⩀ intersection with dot Sm 0 ON AL 3.2 (2002) ⩀ ⩀ ⩀
U+2A41 ⩁ intersection with minus sign Sm 0 ON AL 3.2 (2002) — ⩁ ⩁
U+2A42 ⩂ union with overbar Sm 0 ON AL 3.2 (2002) ⩂ ⩂ ⩂
U+2A43 ⩃ intersection with overbar Sm 0 ON AL 3.2 (2002) ⩃ ⩃ ⩃
U+2A44 ⩄ intersection with logical and Sm 0 ON AL 3.2 (2002) ⩄ ⩄ ⩄
U+2A45 ⩅ union with logical or Sm 0 ON AL 3.2 (2002) ⩅ ⩅ ⩅
U+2A46 ⩆ union above intersection Sm 0 ON AL 3.2 (2002) ⩆ ⩆ ⩆
U+2A47 ⩇ intersection above union Sm 0 ON AL 3.2 (2002) ⩇ ⩇ ⩇
U+2A48 ⩈ union above bar above intersection Sm 0 ON AL 3.2 (2002) ⩈ ⩈ ⩈
U+2A49 ⩉ intersection above bar above union Sm 0 ON AL 3.2 (2002) ⩉ ⩉ ⩉
U+2A4A ⩊ union beside and joined with union Sm 0 ON AL 3.2 (2002) ⩊ ⩊ ⩊
U+2A4B ⩋ intersection beside and joined with intersection Sm 0 ON AL 3.2 (2002) ⩋ ⩋ ⩋
U+2A4C ⩌ closed union with serifs Sm 0 ON AL 3.2 (2002) ⩌ ⩌ ⩌
U+2A4D ⩍ closed intersection with serifs Sm 0 ON AL 3.2 (2002) ⩍ ⩍ ⩍
U+2A4E ⩎ double square intersection Sm 0 ON AL 3.2 (2002) — ⩎ ⩎
U+2A4F ⩏ double square union Sm 0 ON AL 3.2 (2002) — ⩏ ⩏
U+2A50 ⩐ closed union with serifs and smash product Sm 0 ON AL 3.2 (2002) ⩐ ⩐ ⩐
U+2A51 ⩑ logical and with dot above Sm 0 ON AL 3.2 (2002) — ⩑ ⩑
U+2A52 ⩒ logical or with dot above Sm 0 ON AL 3.2 (2002) — ⩒ ⩒
U+2A53 ⩓ double logical and Sm 0 ON AL 3.2 (2002) ⩓ ⩓ ⩓
U+2A54 ⩔ double logical or Sm 0 ON AL 3.2 (2002) ⩔ ⩔ ⩔
U+2A55 ⩕ two intersecting logical and Sm 0 ON AL 3.2 (2002) ⩕ ⩕ ⩕
U+2A56 ⩖ two intersecting logical or Sm 0 ON AL 3.2 (2002) ⩖ ⩖ ⩖
U+2A57 ⩗ sloping large or Sm 0 ON AL 3.2 (2002) ⩗ ⩗ ⩗
U+2A58 ⩘ sloping large and Sm 0 ON AL 3.2 (2002) ⩘ ⩘ ⩘
U+2A59 ⩙ logical or overlapping logical and Sm 0 ON AL 3.2 (2002) — ⩙ ⩙
U+2A5A ⩚ logical and with middle stem Sm 0 ON AL 3.2 (2002) ⩚ ⩚ ⩚
U+2A5B ⩛ logical or with middle stem Sm 0 ON AL 3.2 (2002) ⩛ ⩛ ⩛
U+2A5C ⩜ logical and with horizontal dash Sm 0 ON AL 3.2 (2002) ⩜ ⩜ ⩜
U+2A5D ⩝ logical or with horizontal dash Sm 0 ON AL 3.2 (2002) ⩝ ⩝ ⩝
U+2A5E ⩞ logical and with double overbar Sm 0 ON AL 3.2 (2002) — ⩞ ⩞
U+2A5F ⩟ logical and with underbar Sm 0 ON AL 3.2 (2002) ⩟ ⩟ ⩟
U+2A60 ⩠ logical and with double underbar Sm 0 ON AL 3.2 (2002) — ⩠ ⩠
U+2A61 ⩡ small vee with underbar Sm 0 ON AL 3.2 (2002) — ⩡ ⩡
U+2A62 ⩢ logical or with double overbar Sm 0 ON AL 3.2 (2002) — ⩢ ⩢
U+2A63 ⩣ logical or with double underbar Sm 0 ON AL 3.2 (2002) — ⩣ ⩣
U+2A64 ⩤ z notation domain antirestriction Sm 0 ON AL 3.2 (2002) — ⩤ ⩤
U+2A65 ⩥ z notation range antirestriction Sm 0 ON AL 3.2 (2002) — ⩥ ⩥
U+2A66 ⩦ equals sign with dot below Sm 0 ON AL 3.2 (2002) ⩦ ⩦ ⩦
U+2A67 ⩧ identical with dot above Sm 0 ON AL 3.2 (2002) — ⩧ ⩧
U+2A68 ⩨ triple horizontal bar with double vertical stroke Sm 0 ON AL 3.2 (2002) — ⩨ ⩨
U+2A69 ⩩ triple horizontal bar with triple vertical stroke Sm 0 ON AL 3.2 (2002) — ⩩ ⩩
U+2A6A ⩪ tilde operator with dot above Sm 0 ON AL 3.2 (2002) ⩪ ⩪ ⩪
U+2A6B ⩫ tilde operator with rising dots Sm 0 ON AL 3.2 (2002) — ⩫ ⩫
U+2A6C ⩬ similar minus similar Sm 0 ON AL 3.2 (2002) — ⩬ ⩬
U+2A6D ⩭ congruent with dot above Sm 0 ON AL 3.2 (2002) ⩭ ⩭ ⩭
U+2A6E ⩮ equals with asterisk Sm 0 ON AL 3.2 (2002) ⩮ ⩮ ⩮
U+2A6F ⩯ almost equal to with circumflex accent Sm 0 ON AL 3.2 (2002) ⩯ ⩯ ⩯
U+2A70 ⩰ approximately equal or equal to Sm 0 ON AL 3.2 (2002) ⩰ ⩰ ⩰
U+2A71 ⩱ equals sign above plus sign Sm 0 ON AL 3.2 (2002) ⩱ ⩱ ⩱
U+2A72 ⩲ plus sign above equals sign Sm 0 ON AL 3.2 (2002) ⩲ ⩲ ⩲
U+2A73 ⩳ equals sign above tilde operator Sm 0 ON AL 3.2 (2002) ⩳ ⩳ ⩳
U+2A74 ⩴ double colon equal Sm 0 ON AL 3.2 (2002) ⩴ ⩴ ⩴
U+2A75 ⩵ two consecutive equals signs Sm 0 ON AL 3.2 (2002) ⩵ ⩵ ⩵
U+2A76 ⩶ three consecutive equals signs Sm 0 ON AL 3.2 (2002) — ⩶ ⩶
U+2A77 ⩷ equals sign with two dots above and two dots below Sm 0 ON AL 3.2 (2002) — ⩷ ⩷
U+2A78 ⩸ equivalent with four dots above Sm 0 ON AL 3.2 (2002) ⩸ ⩸ ⩸
U+2A79 ⩹ less-than with circle inside Sm 0 ON AL 3.2 (2002) ⩹ ⩹ ⩹
U+2A7A ⩺ greater-than with circle inside Sm 0 ON AL 3.2 (2002) ⩺ ⩺ ⩺
U+2A7B ⩻ less-than with question mark above Sm 0 ON AL 3.2 (2002) ⩻ ⩻ ⩻
U+2A7C ⩼ greater-than with question mark above Sm 0 ON AL 3.2 (2002) ⩼ ⩼ ⩼
U+2A7D ⩽ less-than or slanted equal to Sm 0 ON AL 3.2 (2002) ⩽ ⩽ ⩽
U+2A7E ⩾ greater-than or slanted equal to Sm 0 ON AL 3.2 (2002) ⩾ ⩾ ⩾
U+2A7F ⩿ less-than or slanted equal to with dot inside Sm 0 ON AL 3.2 (2002) ⩿ ⩿ ⩿
U+2A80 ⪀ greater-than or slanted equal to with dot inside Sm 0 ON AL 3.2 (2002) ⪀ ⪀ ⪀
U+2A81 ⪁ less-than or slanted equal to with dot above Sm 0 ON AL 3.2 (2002) ⪁ ⪁ ⪁
U+2A82 ⪂ greater-than or slanted equal to with dot above Sm 0 ON AL 3.2 (2002) ⪂ ⪂ ⪂
U+2A83 ⪃ less-than or slanted equal to with dot above right Sm 0 ON AL 3.2 (2002) ⪃ ⪃ ⪃
U+2A84 ⪄ greater-than or slanted equal to with dot above left Sm 0 ON AL 3.2 (2002) ⪄ ⪄ ⪄
U+2A85 ⪅ less-than or approximate Sm 0 ON AL 3.2 (2002) ⪅ ⪅ ⪅
U+2A86 ⪆ greater-than or approximate Sm 0 ON AL 3.2 (2002) ⪆ ⪆ ⪆
U+2A87 ⪇ less-than and single-line not equal to Sm 0 ON AL 3.2 (2002) ⪇ ⪇ ⪇
U+2A88 ⪈ greater-than and single-line not equal to Sm 0 ON AL 3.2 (2002) ⪈ ⪈ ⪈
U+2A89 ⪉ less-than and not approximate Sm 0 ON AL 3.2 (2002) ⪉ ⪉ ⪉
U+2A8A ⪊ greater-than and not approximate Sm 0 ON AL 3.2 (2002) ⪊ ⪊ ⪊
U+2A8B ⪋ less-than above double-line equal above greater-than Sm 0 ON AL 3.2 (2002) ⪋ ⪋ ⪋
U+2A8C ⪌ greater-than above double-line equal above less-than Sm 0 ON AL 3.2 (2002) ⪌ ⪌ ⪌
U+2A8D ⪍ less-than above similar or equal Sm 0 ON AL 3.2 (2002) ⪍ ⪍ ⪍
U+2A8E ⪎ greater-than above similar or equal Sm 0 ON AL 3.2 (2002) ⪎ ⪎ ⪎
U+2A8F ⪏ less-than above similar above greater-than Sm 0 ON AL 3.2 (2002) ⪏ ⪏ ⪏
U+2A90 ⪐ greater-than above similar above less-than Sm 0 ON AL 3.2 (2002) ⪐ ⪐ ⪐
U+2A91 ⪑ less-than above greater-than above double-line equal Sm 0 ON AL 3.2 (2002) ⪑ ⪑ ⪑
U+2A92 ⪒ greater-than above less-than above double-line equal Sm 0 ON AL 3.2 (2002) ⪒ ⪒ ⪒
U+2A93 ⪓ less-than above slanted equal above greater-than above slanted equal Sm 0 ON AL 3.2 (2002) ⪓ ⪓ ⪓
U+2A94 ⪔ greater-than above slanted equal above less-than above slanted equal Sm 0 ON AL 3.2 (2002) ⪔ ⪔ ⪔
U+2A95 ⪕ slanted equal to or less-than Sm 0 ON AL 3.2 (2002) ⪕ ⪕ ⪕
U+2A96 ⪖ slanted equal to or greater-than Sm 0 ON AL 3.2 (2002) ⪖ ⪖ ⪖
U+2A97 ⪗ slanted equal to or less-than with dot inside Sm 0 ON AL 3.2 (2002) ⪗ ⪗ ⪗
U+2A98 ⪘ slanted equal to or greater-than with dot inside Sm 0 ON AL 3.2 (2002) ⪘ ⪘ ⪘
U+2A99 ⪙ double-line equal to or less-than with dot inside Sm 0 ON AL 3.2 (2002) ⪙ ⪙ ⪙
U+2A9A ⪚ double-line equal to or greater-than with dot inside Sm 0 ON AL 3.2 (2002) ⪚ ⪚ ⪚
U+2A9B ⪛ double-line slanted equal to or less-than with dot inside Sm 0 ON AL 3.2 (2002) — ⪛ ⪛
U+2A9C ⪜ double-line slanted equal to or greater-than with dot inside Sm 0 ON AL 3.2 (2002) — ⪜ ⪜
U+2A9D ⪝ similar or less-than with dot inside Sm 0 ON AL 3.2 (2002) ⪝ ⪝ ⪝
U+2A9E ⪞ similar or greater-than with dot inside Sm 0 ON AL 3.2 (2002) ⪞ ⪞ ⪞
U+2A9F ⪟ similar above less-than above equals sign Sm 0 ON AL 3.2 (2002) ⪟ ⪟ ⪟
U+2AA0 ⪠ similar above greater-than above equals sign Sm 0 ON AL 3.2 (2002) ⪠ ⪠ ⪠
U+2AA1 ⪡ double nested less-than Sm 0 ON AL 3.2 (2002) ⪡ ⪡ ⪡
U+2AA2 ⪢ double nested greater-than Sm 0 ON AL 3.2 (2002) ⪢ ⪢ ⪢
U+2AA3 ⪣ double nested less-than with underbar Sm 0 ON AL 3.2 (2002) — ⪣ ⪣
U+2AA4 ⪤ greater-than overlapping less-than Sm 0 ON AL 3.2 (2002) ⪤ ⪤ ⪤
U+2AA5 ⪥ greater-than beside less-than Sm 0 ON AL 3.2 (2002) ⪥ ⪥ ⪥
U+2AA6 ⪦ less-than closed by curve Sm 0 ON AL 3.2 (2002) ⪦ ⪦ ⪦
U+2AA7 ⪧ greater-than closed by curve Sm 0 ON AL 3.2 (2002) ⪧ ⪧ ⪧
U+2AA8 ⪨ less-than closed by curve above slanted equal Sm 0 ON AL 3.2 (2002) ⪨ ⪨ ⪨
U+2AA9 ⪩ greater-than closed by curve above slanted equal Sm 0 ON AL 3.2 (2002) ⪩ ⪩ ⪩
U+2AAA ⪪ smaller than Sm 0 ON AL 3.2 (2002) ⪪ ⪪ ⪪
U+2AAB ⪫ larger than Sm 0 ON AL 3.2 (2002) ⪫ ⪫ ⪫
U+2AAC ⪬ smaller than or equal to Sm 0 ON AL 3.2 (2002) ⪬ ⪬ ⪬
U+2AAD ⪭ larger than or equal to Sm 0 ON AL 3.2 (2002) ⪭ ⪭ ⪭
U+2AAE ⪮ equals sign with bumpy above Sm 0 ON AL 3.2 (2002) ⪮ ⪮ ⪮
U+2AAF ⪯ precedes above single-line equals sign Sm 0 ON AL 3.2 (2002) ⪯ ⪯ ⪯
U+2AB0 ⪰ succeeds above single-line equals sign Sm 0 ON AL 3.2 (2002) ⪰ ⪰ ⪰
U+2AB1 ⪱ precedes above single-line not equal to Sm 0 ON AL 3.2 (2002) — ⪱ ⪱
U+2AB2 ⪲ succeeds above single-line not equal to Sm 0 ON AL 3.2 (2002) — ⪲ ⪲
U+2AB3 ⪳ precedes above equals sign Sm 0 ON AL 3.2 (2002) ⪳ ⪳ ⪳
U+2AB4 ⪴ succeeds above equals sign Sm 0 ON AL 3.2 (2002) ⪴ ⪴ ⪴
U+2AB5 ⪵ precedes above not equal to Sm 0 ON AL 3.2 (2002) ⪵ ⪵ ⪵
U+2AB6 ⪶ succeeds above not equal to Sm 0 ON AL 3.2 (2002) ⪶ ⪶ ⪶
U+2AB7 ⪷ precedes above almost equal to Sm 0 ON AL 3.2 (2002) ⪷ ⪷ ⪷
U+2AB8 ⪸ succeeds above almost equal to Sm 0 ON AL 3.2 (2002) ⪸ ⪸ ⪸
U+2AB9 ⪹ precedes above not almost equal to Sm 0 ON AL 3.2 (2002) ⪹ ⪹ ⪹
U+2ABA ⪺ succeeds above not almost equal to Sm 0 ON AL 3.2 (2002) ⪺ ⪺ ⪺
U+2ABB ⪻ double precedes Sm 0 ON AL 3.2 (2002) ⪻ ⪻ ⪻
U+2ABC ⪼ double succeeds Sm 0 ON AL 3.2 (2002) ⪼ ⪼ ⪼
U+2ABD ⪽ subset with dot Sm 0 ON AL 3.2 (2002) ⪽ ⪽ ⪽
U+2ABE ⪾ superset with dot Sm 0 ON AL 3.2 (2002) ⪾ ⪾ ⪾
U+2ABF ⪿ subset with plus sign below Sm 0 ON AL 3.2 (2002) ⪿ ⪿ ⪿
U+2AC0 ⫀ superset with plus sign below Sm 0 ON AL 3.2 (2002) ⫀ ⫀ ⫀
U+2AC1 ⫁ subset with multiplication sign below Sm 0 ON AL 3.2 (2002) ⫁ ⫁ ⫁
U+2AC2 ⫂ superset with multiplication sign below Sm 0 ON AL 3.2 (2002) ⫂ ⫂ ⫂
U+2AC3 ⫃ subset of or equal to with dot above Sm 0 ON AL 3.2 (2002) ⫃ ⫃ ⫃
U+2AC4 ⫄ superset of or equal to with dot above Sm 0 ON AL 3.2 (2002) ⫄ ⫄ ⫄
U+2AC5 ⫅ subset of above equals sign Sm 0 ON AL 3.2 (2002) ⫅ ⫅ ⫅
U+2AC6 ⫆ superset of above equals sign Sm 0 ON AL 3.2 (2002) ⫆ ⫆ ⫆
U+2AC7 ⫇ subset of above tilde operator Sm 0 ON AL 3.2 (2002) ⫇ ⫇ ⫇
U+2AC8 ⫈ superset of above tilde operator Sm 0 ON AL 3.2 (2002) ⫈ ⫈ ⫈
U+2ACB ⫋ subset of above almost equal to Sm 0 ON AL 3.2 (2002) — ⫋ ⫋
U+2ACC ⫌ superset of above almost equal to Sm 0 ON AL 3.2 (2002) — ⫌ ⫌
U+2ACB ⫋ subset of above not equal to Sm 0 ON AL 3.2 (2002) ⫋ ⫋ ⫋
U+2ACC ⫌ superset of above not equal to Sm 0 ON AL 3.2 (2002) ⫌ ⫌ ⫌
U+2ACD ⫍ square left open box operator Sm 0 ON AL 3.2 (2002) — ⫍ ⫍
U+2ACE ⫎ square right open box operator Sm 0 ON AL 3.2 (2002) — ⫎ ⫎
U+2ACF ⫏ closed subset Sm 0 ON AL 3.2 (2002) ⫏ ⫏ ⫏
U+2AD0 ⫐ closed superset Sm 0 ON AL 3.2 (2002) ⫐ ⫐ ⫐
U+2AD1 ⫑ closed subset or equal to Sm 0 ON AL 3.2 (2002) ⫑ ⫑ ⫑
U+2AD2 ⫒ closed superset or equal to Sm 0 ON AL 3.2 (2002) ⫒ ⫒ ⫒
U+2AD3 ⫓ subset above superset Sm 0 ON AL 3.2 (2002) ⫓ ⫓ ⫓
U+2AD4 ⫔ superset above subset Sm 0 ON AL 3.2 (2002) ⫔ ⫔ ⫔
U+2AD5 ⫕ subset above subset Sm 0 ON AL 3.2 (2002) ⫕ ⫕ ⫕
U+2AD6 ⫖ superset above superset Sm 0 ON AL 3.2 (2002) ⫖ ⫖ ⫖
U+2AD7 ⫗ superset beside subset Sm 0 ON AL 3.2 (2002) ⫗ ⫗ ⫗
U+2AD8 ⫘ superset beside and joined by dash with subset Sm 0 ON AL 3.2 (2002) ⫘ ⫘ ⫘
U+2AD9 ⫙ element of opening downwards Sm 0 ON AL 3.2 (2002) ⫙ ⫙ ⫙
U+2ADA ⫚ pitchfork with tee top Sm 0 ON AL 3.2 (2002) ⫚ ⫚ ⫚
U+2ADB ⫛ transversal intersection Sm 0 ON AL 3.2 (2002) ⫛ ⫛ ⫛
U+2ADC ⫝̸ forking Sm 0 ON AL 3.2 (2002) — ⫝̸ ⫝̸
U+2ADD ⫝ nonforking Sm 0 ON AL 3.2 (2002) — ⫝ ⫝
U+2ADE ⫞ short left tack Sm 0 ON AL 3.2 (2002) — ⫞ ⫞
U+2ADF ⫟ short down tack Sm 0 ON AL 3.2 (2002) — ⫟ ⫟
U+2AE0 ⫠ short up tack Sm 0 ON AL 3.2 (2002) — ⫠ ⫠
U+2AE1 ⫡ perpendicular with s Sm 0 ON AL 3.2 (2002) — ⫡ ⫡
U+2AE2 ⫢ vertical bar triple right turnstile Sm 0 ON AL 3.2 (2002) — ⫢ ⫢
U+2AE3 ⫣ double vertical bar left turnstile Sm 0 ON AL 3.2 (2002) — ⫣ ⫣
U+2AE4 ⫤ vertical bar double left turnstile Sm 0 ON AL 3.2 (2002) ⫤ ⫤ ⫤
U+2AE5 ⫥ double vertical bar double left turnstile Sm 0 ON AL 3.2 (2002) — ⫥ ⫥
U+2AE6 ⫦ long dash from left member of double vertical Sm 0 ON AL 3.2 (2002) — ⫦ ⫦
U+2AE7 ⫧ short down tack with overbar Sm 0 ON AL 3.2 (2002) ⫧ ⫧ ⫧
U+2AE8 ⫨ short up tack with underbar Sm 0 ON AL 3.2 (2002) ⫨ ⫨ ⫨
U+2AE9 ⫩ short up tack above short down tack Sm 0 ON AL 3.2 (2002) ⫩ ⫩ ⫩
U+2AEA ⫪ double down tack Sm 0 ON AL 3.2 (2002) — ⫪ ⫪
U+2AEB ⫫ double up tack Sm 0 ON AL 3.2 (2002) ⫫ ⫫ ⫫
U+2AEC ⫬ double stroke not sign Sm 0 ON AL 3.2 (2002) ⫬ ⫬ ⫬
U+2AED ⫭ reversed double stroke not sign Sm 0 ON AL 3.2 (2002) ⫬ ⫭ ⫭
U+2AEE ⫮ does not divide with reversed negation slash Sm 0 ON AL 3.2 (2002) ⫬ ⫮ ⫮
U+2AEF ⫯ vertical line with circle above Sm 0 ON AL 3.2 (2002) ⫯ ⫯ ⫯
U+2AF0 ⫰ vertical line with circle below Sm 0 ON AL 3.2 (2002) ⫰ ⫰ ⫰
U+2AF1 ⫱ down tack with circle below Sm 0 ON AL 3.2 (2002) ⫱ ⫱ ⫱
U+2AF2 ⫲ parallel with horizontal stroke Sm 0 ON AL 3.2 (2002) ⫲ ⫲ ⫲
U+2AF3 ⫳ parallel with tilde operator Sm 0 ON AL 3.2 (2002) ⫳ ⫳ ⫳
U+2AF4 ⫴ triple vertical bar binary relation Sm 0 ON AL 3.2 (2002) — ⫴ ⫴
U+2AF5 ⫵ triple vertical bar with horizontal stroke Sm 0 ON AL 3.2 (2002) — ⫵ ⫵
U+2AF6 ⫶ triple colon operator Sm 0 ON AL 3.2 (2002) — ⫶ ⫶
U+2AF7 ⫷ triple nested less-than Sm 0 ON AL 3.2 (2002) — ⫷ ⫷
U+2AF8 ⫸ triple nested greater-than Sm 0 ON AL 3.2 (2002) — ⫸ ⫸
U+2AF9 ⫹ double-line slanted less-than or equal to Sm 0 ON AL 3.2 (2002) — ⫹ ⫹
U+2AFA ⫺ double-line slanted greater-than or equal to Sm 0 ON AL 3.2 (2002) — ⫺ ⫺
U+2AFB ⫻ triple solidus binary relation Sm 0 ON AL 3.2 (2002) — ⫻ ⫻
U+2AFC ⫼ triple solidus binary relation Sm 0 ON AL 3.2 (2002) — ⫼ ⫼
U+2AFD ⫽ large triple vertical bar operator Sm 0 ON AL 3.2 (2002) — ⫽ ⫽
U+2AFE ⫾ white vertical bar Sm 0 ON AL 3.2 (2002) — ⫾ ⫾
U+2AFF ⫿ n-ary white vertical bar Sm 0 ON AL 3.2 (2002) — ⫿ ⫿

Compact table

Supplemental Mathematical Operators[
Official Unicode Consortium code chart (PDF)
0 1 2 3 4 5 6 7 8 9 A B C D E F
U+2A0x ⨀ ⨁ ⨂ ⨃ ⨄ ⨅ ⨆ ⨇ ⨈ ⨉ ⨊ ⨋ ⨌ ⨍ ⨎ ⨏
U+2A1x ⨐ ⨑ ⨒ ⨓ ⨔ ⨕ ⨖ ⨗ ⨘ ⨙ ⨚ ⨛ ⨜ ⨝ ⨞ ⨟
U+2A2x ⨠ ⨡ ⨢ ⨣ ⨤ ⨥ ⨦ ⨧ ⨨ ⨩ ⨪ ⨫ ⨬ ⨭ ⨮ ⨯
U+2A3x ⨰ ⨱ ⨲ ⨳ ⨴ ⨵ ⨶ ⨷ ⨸ ⨹ ⨺ ⨻ ⨼ ⨽ ⨾ ⨿
U+2A4x ⩀ ⩁ ⩂ ⩃ ⩄ ⩅ ⩆ ⩇ ⩈ ⩉ ⩊ ⩋ ⩌ ⩍ ⩎ ⩏
U+2A5x ⩐ ⩑ ⩒ ⩓ ⩔ ⩕ ⩖ ⩗ ⩘ ⩙ ⩚ ⩛ ⩜ ⩝ ⩞ ⩟
U+2A6x ⩠ ⩡ ⩢ ⩣ ⩤ ⩥ ⩦ ⩧ ⩨ ⩩ ⩪ ⩫ ⩬ ⩭ ⩮ ⩯
U+2A7x ⩰ ⩱ ⩲ ⩳ ⩴ ⩵ ⩶ ⩷ ⩸ ⩹ ⩺ ⩻ ⩼ ⩽ ⩾ ⩿
U+2A8x ⪀ ⪁ ⪂ ⪃ ⪄ ⪅ ⪆ ⪇ ⪈ ⪉ ⪊ ⪋ ⪌ ⪍ ⪎ ⪏
U+2A9x ⪐ ⪑ ⪒ ⪓ ⪔ ⪕ ⪖ ⪗ ⪘ ⪙ ⪚ ⪛ ⪜ ⪝ ⪞ ⪟
U+2AAx ⪠ ⪡ ⪢ ⪣ ⪤ ⪥ ⪦ ⪧ ⪨ ⪩ ⪪ ⪫ ⪬ ⪭ ⪮ ⪯
U+2ABx ⪰ ⪱ ⪲ ⪳ ⪴ ⪵ ⪶ ⪷ ⪸ ⪹ ⪺ ⪻ ⪼ ⪽ ⪾ ⪿
U+2ACx ⫀ ⫁ ⫂ ⫃ ⫄ ⫅ ⫆ ⫇ ⫈ ⫉ ⫊ ⫋ ⫌ ⫍ ⫎ ⫏
U+2ADx ⫐ ⫑ ⫒ ⫓ ⫔ ⫕ ⫖ ⫗ ⫘ ⫙ ⫚ ⫛ ⫝̸ ⫝ ⫞ ⫟
U+2AEx ⫠ ⫡ ⫢ ⫣ ⫤ ⫥ ⫦ ⫧ ⫨ ⫩ ⫪ ⫫ ⫬ ⫭ ⫮ ⫯
U+2AFx ⫰ ⫱ ⫲ ⫳ ⫴ ⫵ ⫶ ⫷ ⫸ ⫹ ⫺ ⫻ ⫼ ⫽ ⫾ ⫿
Notes

1.^ As of version 15.0.

See also

  • Basic Latin
  • Greek and Coptic
  • Number Forms
  • Letterlike Symbols
  • Supplemental Mathematical Operators
  • Mathematical Alphanumeric Symbols
  • Arabic Mathematical Alphabetic Symbols
created: 2025-11-15
updated: 2026-09-29
134



Was this answer useful?
Choose a quick rating so we can improve the next answer for you.
How satisfied are you?


Comments

To leave a comment

If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

Lectures and tutorial on "HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS"

Terms: HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS