Mathematical Operators

U+2200 ∀ FOR ALL U+2201 ∁ COMPLEMENT U+2202 ∂ PARTIAL DIFFERENTIAL U+2203 ∃ THERE EXISTS U+2204 ∄ THERE DOES NOT EXIST U+2205 ∅ EMPTY SET U+2206 ∆ INCREMENT U+2207 ∇ NABLA

U+2208 ∈ ELEMENT OF U+2209 ∉ NOT AN ELEMENT OF U+220A ∊ SMALL ELEMENT OF U+220B ∋ CONTAINS AS MEMBER U+220C ∌ DOES NOT CONTAIN AS MEMBER U+220D ∍ SMALL CONTAINS AS MEMBER

U+220E ∎ END OF PROOF

U+220F ∏ N-ARY PRODUCT U+2210 ∐ N-ARY COPRODUCT U+2211 ∑ N-ARY SUMMATION

U+2212 − MINUS SIGN U+2213 ∓ MINUS-OR-PLUS SIGN U+2214 ∔ DOT PLUS U+2215 ∕ DIVISION SLASH U+2216 ∖ SET MINUS U+2217 ∗ ASTERISK OPERATOR U+2218 ∘ RING OPERATOR U+2219 ∙ BULLET OPERATOR U+221A √ SQUARE ROOT U+221B ∛ CUBE ROOT U+221C ∜ FOURTH ROOT U+221D ∝ PROPORTIONAL TO

U+221E ∞ INFINITY

U+221F ∟ RIGHT ANGLE U+2220 ∠ ANGLE U+2221 ∡ MEASURED ANGLE U+2222 ∢ SPHERICAL ANGLE

U+2223 ∣ DIVIDES U+2224 ∤ DOES NOT DIVIDE U+2225 ∥ PARALLEL TO U+2226 ∦ NOT PARALLEL TO

U+2227 ∧ LOGICAL AND U+2228 ∨ LOGICAL OR U+2229 ∩ INTERSECTION U+222A ∪ UNION

U+222B ∫ INTEGRAL U+222C ∬ DOUBLE INTEGRAL U+222D ∭ TRIPLE INTEGRAL U+222E ∮ CONTOUR INTEGRAL U+222F ∯ SURFACE INTEGRAL U+2230 ∰ VOLUME INTEGRAL U+2231 ∱ CLOCKWISE INTEGRAL U+2232 ∲ CLOCKWISE CONTOUR INTEGRAL U+2233 ∳ ANTICLOCKWISE CONTOUR INTEGRAL

U+2234 ∴ THEREFORE U+2235 ∵ BECAUSE

U+2236 ∶ RATIO U+2237 ∷ PROPORTION

U+2238 ∸ DOT MINUS

U+2239 ∹ EXCESS

U+223A ∺ GEOMETRIC PROPORTION

U+223B ∻ HOMOTHETIC U+223C ∼ TILDE OPERATOR U+223D ∽ REVERSED TILDE U+223E ∾ INVERTED LAZY S

U+223F ∿ SINE WAVE

U+2240 ≀ WREATH PRODUCT

U+2241 ≁ NOT TILDE U+2242 ≂ MINUS TILDE U+2243 ≃ ASYMPTOTICALLY EQUAL TO U+2244 ≄ NOT ASYMPTOTICALLY EQUAL TO U+2245 ≅ APPROXIMATELY EQUAL TO U+2246 ≆ APPROXIMATELY BUT NOT ACTUALLY EQUAL TO U+2247 ≇ NEITHER APPROXIMATELY NOR ACTUALLY EQUAL TO U+2248 ≈ ALMOST EQUAL TO U+2249 ≉ NOT ALMOST EQUAL TO U+224A ≊ ALMOST EQUAL OR EQUAL TO U+224B ≋ TRIPLE TILDE U+224C ≌ ALL EQUAL TO U+224D ≍ EQUIVALENT TO U+224E ≎ GEOMETRICALLY EQUIVALENT TO U+224F ≏ DIFFERENCE BETWEEN U+2250 ≐ APPROACHES THE LIMIT U+2251 ≑ GEOMETRICALLY EQUAL TO U+2252 ≒ APPROXIMATELY EQUAL TO OR THE IMAGE OF U+2253 ≓ IMAGE OF OR APPROXIMATELY EQUAL TO U+2254 ≔ COLON EQUALS U+2255 ≕ EQUALS COLON U+2256 ≖ RING IN EQUAL TO U+2257 ≗ RING EQUAL TO U+2258 ≘ CORRESPONDS TO U+2259 ≙ ESTIMATES U+225A ≚ EQUIANGULAR TO U+225B ≛ STAR EQUALS U+225C ≜ DELTA EQUAL TO U+225D ≝ EQUAL TO BY DEFINITION U+225E ≞ MEASURED BY U+225F ≟ QUESTIONED EQUAL TO U+2260 ≠ NOT EQUAL TO U+2261 ≡ IDENTICAL TO U+2262 ≢ NOT IDENTICAL TO U+2263 ≣ STRICTLY EQUIVALENT TO U+2264 ≤ LESS-THAN OR EQUAL TO U+2265 ≥ GREATER-THAN OR EQUAL TO U+2266 ≦ LESS-THAN OVER EQUAL TO U+2267 ≧ GREATER-THAN OVER EQUAL TO U+2268 ≨ LESS-THAN BUT NOT EQUAL TO U+2269 ≩ GREATER-THAN BUT NOT EQUAL TO U+226A ≪ MUCH LESS-THAN U+226B ≫ MUCH GREATER-THAN U+226C ≬ BETWEEN U+226D ≭ NOT EQUIVALENT TO U+226E ≮ NOT LESS-THAN U+226F ≯ NOT GREATER-THAN U+2270 ≰ NEITHER LESS-THAN NOR EQUAL TO U+2271 ≱ NEITHER GREATER-THAN NOR EQUAL TO U+2272 ≲ LESS-THAN OR EQUIVALENT TO U+2273 ≳ GREATER-THAN OR EQUIVALENT TO U+2274 ≴ NEITHER LESS-THAN NOR EQUIVALENT TO U+2275 ≵ NEITHER GREATER-THAN NOR EQUIVALENT TO U+2276 ≶ LESS-THAN OR GREATER-THAN U+2277 ≷ GREATER-THAN OR LESS-THAN U+2278 ≸ NEITHER LESS-THAN NOR GREATER-THAN U+2279 ≹ NEITHER GREATER-THAN NOR LESS-THAN U+227A ≺ PRECEDES U+227B ≻ SUCCEEDS U+227C ≼ PRECEDES OR EQUAL TO U+227D ≽ SUCCEEDS OR EQUAL TO U+227E ≾ PRECEDES OR EQUIVALENT TO U+227F ≿ SUCCEEDS OR EQUIVALENT TO U+2280 ⊀ DOES NOT PRECEDE U+2281 ⊁ DOES NOT SUCCEED U+2282 ⊂ SUBSET OF U+2283 ⊃ SUPERSET OF U+2284 ⊄ NOT A SUBSET OF U+2285 ⊅ NOT A SUPERSET OF U+2286 ⊆ SUBSET OF OR EQUAL TO U+2287 ⊇ SUPERSET OF OR EQUAL TO U+2288 ⊈ NEITHER A SUBSET OF NOR EQUAL TO U+2289 ⊉ NEITHER A SUPERSET OF NOR EQUAL TO U+228A ⊊ SUBSET OF WITH NOT EQUAL TO U+228B ⊋ SUPERSET OF WITH NOT EQUAL TO

U+228C ⊌ MULTISET U+228D ⊍ MULTISET MULTIPLICATION U+228E ⊎ MULTISET UNION

U+228F ⊏ SQUARE IMAGE OF U+2290 ⊐ SQUARE ORIGINAL OF U+2291 ⊑ SQUARE IMAGE OF OR EQUAL TO U+2292 ⊒ SQUARE ORIGINAL OF OR EQUAL TO

U+2293 ⊓ SQUARE CAP U+2294 ⊔ SQUARE CUP U+2295 ⊕ CIRCLED PLUS U+2296 ⊖ CIRCLED MINUS U+2297 ⊗ CIRCLED TIMES U+2298 ⊘ CIRCLED DIVISION SLASH U+2299 ⊙ CIRCLED DOT OPERATOR U+229A ⊚ CIRCLED RING OPERATOR U+229B ⊛ CIRCLED ASTERISK OPERATOR U+229C ⊜ CIRCLED EQUALS U+229D ⊝ CIRCLED DASH U+229E ⊞ SQUARED PLUS U+229F ⊟ SQUARED MINUS U+22A0 ⊠ SQUARED TIMES U+22A1 ⊡ SQUARED DOT OPERATOR U+22A2 ⊢ RIGHT TACK U+22A3 ⊣ LEFT TACK

U+22A4 ⊤ DOWN TACK U+22A5 ⊥ UP TACK

U+22A6 ⊦ ASSERTION U+22A7 ⊧ MODELS U+22A8 ⊨ TRUE U+22A9 ⊩ FORCES U+22AA ⊪ TRIPLE VERTICAL BAR RIGHT TURNSTILE U+22AB ⊫ DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE U+22AC ⊬ DOES NOT PROVE U+22AD ⊭ NOT TRUE U+22AE ⊮ DOES NOT FORCE U+22AF ⊯ NEGATED DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE U+22B0 ⊰ PRECEDES UNDER RELATION U+22B1 ⊱ SUCCEEDS UNDER RELATION U+22B2 ⊲ NORMAL SUBGROUP OF U+22B3 ⊳ CONTAINS AS NORMAL SUBGROUP U+22B4 ⊴ NORMAL SUBGROUP OF OR EQUAL TO U+22B5 ⊵ CONTAINS AS NORMAL SUBGROUP OR EQUAL TO U+22B6 ⊶ ORIGINAL OF U+22B7 ⊷ IMAGE OF U+22B8 ⊸ MULTIMAP U+22B9 ⊹ HERMITIAN CONJUGATE MATRIX

U+22BA ⊺ INTERCALATE U+22BB ⊻ XOR U+22BC ⊼ NAND U+22BD ⊽ NOR

U+22BE ⊾ RIGHT ANGLE WITH ARC U+22BF ⊿ RIGHT TRIANGLE

U+22C0 ⋀ N-ARY LOGICAL AND U+22C1 ⋁ N-ARY LOGICAL OR U+22C2 ⋂ N-ARY INTERSECTION U+22C3 ⋃ N-ARY UNION

U+22C4 ⋄ DIAMOND OPERATOR U+22C5 ⋅ DOT OPERATOR U+22C6 ⋆ STAR OPERATOR U+22C7 ⋇ DIVISION TIMES

U+22C8 ⋈ BOWTIE

U+22C9 ⋉ LEFT NORMAL FACTOR SEMIDIRECT PRODUCT U+22CA ⋊ RIGHT NORMAL FACTOR SEMIDIRECT PRODUCT U+22CB ⋋ LEFT SEMIDIRECT PRODUCT U+22CC ⋌ RIGHT SEMIDIRECT PRODUCT

U+22CD ⋍ REVERSED TILDE EQUALS

U+22CE ⋎ CURLY LOGICAL OR U+22CF ⋏ CURLY LOGICAL AND

U+22D0 ⋐ DOUBLE SUBSET U+22D1 ⋑ DOUBLE SUPERSET

U+22D2 ⋒ DOUBLE INTERSECTION U+22D3 ⋓ DOUBLE UNION

U+22D4 ⋔ PITCHFORK U+22D5 ⋕ EQUAL AND PARALLEL TO U+22D6 ⋖ LESS-THAN WITH DOT U+22D7 ⋗ GREATER-THAN WITH DOT U+22D8 ⋘ VERY MUCH LESS-THAN U+22D9 ⋙ VERY MUCH GREATER-THAN U+22DA ⋚ LESS-THAN EQUAL TO OR GREATER-THAN U+22DB ⋛ GREATER-THAN EQUAL TO OR LESS-THAN U+22DC ⋜ EQUAL TO OR LESS-THAN U+22DD ⋝ EQUAL TO OR GREATER-THAN U+22DE ⋞ EQUAL TO OR PRECEDES U+22DF ⋟ EQUAL TO OR SUCCEEDS U+22E0 ⋠ DOES NOT PRECEDE OR EQUAL U+22E1 ⋡ DOES NOT SUCCEED OR EQUAL U+22E2 ⋢ NOT SQUARE IMAGE OF OR EQUAL TO U+22E3 ⋣ NOT SQUARE ORIGINAL OF OR EQUAL TO U+22E4 ⋤ SQUARE IMAGE OF OR NOT EQUAL TO U+22E5 ⋥ SQUARE ORIGINAL OF OR NOT EQUAL TO U+22E6 ⋦ LESS-THAN BUT NOT EQUIVALENT TO U+22E7 ⋧ GREATER-THAN BUT NOT EQUIVALENT TO U+22E8 ⋨ PRECEDES BUT NOT EQUIVALENT TO U+22E9 ⋩ SUCCEEDS BUT NOT EQUIVALENT TO U+22EA ⋪ NOT NORMAL SUBGROUP OF U+22EB ⋫ DOES NOT CONTAIN AS NORMAL SUBGROUP U+22EC ⋬ NOT NORMAL SUBGROUP OF OR EQUAL TO U+22ED ⋭ DOES NOT CONTAIN AS NORMAL SUBGROUP OR EQUAL

U+22EE ⋮ VERTICAL ELLIPSIS U+22EF ⋯ MIDLINE HORIZONTAL ELLIPSIS U+22F0 ⋰ UP RIGHT DIAGONAL ELLIPSIS U+22F1 ⋱ DOWN RIGHT DIAGONAL ELLIPSIS

U+22F2 ⋲ ELEMENT OF WITH LONG HORIZONTAL STROKE U+22F3 ⋳ ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE U+22F4 ⋴ SMALL ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE U+22F5 ⋵ ELEMENT OF WITH DOT ABOVE U+22F6 ⋶ ELEMENT OF WITH OVERBAR U+22F7 ⋷ SMALL ELEMENT OF WITH OVERBAR U+22F8 ⋸ ELEMENT OF WITH UNDERBAR U+22F9 ⋹ ELEMENT OF WITH TWO HORIZONTAL STROKES U+22FA ⋺ CONTAINS WITH LONG HORIZONTAL STROKE U+22FB ⋻ CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE U+22FC ⋼ SMALL CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE U+22FD ⋽ CONTAINS WITH OVERBAR U+22FE ⋾ SMALL CONTAINS WITH OVERBAR U+22FF ⋿ Z NOTATION BAG MEMBERSHIP