Appendix:Unicode/Mathematical Operators
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| ⟵ Arrows | Mathematical Operators | Miscellaneous Technical ⟶ |
This page lists the characters in the Mathematical Operators block of the Unicode standard (version 16.0), which covers 256 code points from U+2200 to U+22FF, all of which have been assigned.
All characters in this block have the
General_Category value Sm (Math_Symbol) and the Script value Zyyy (Common).| Code point | Image edit |
Character | Name |
|---|---|---|---|
| U+2200 (8704) | 
|
∀ | FOR ALL |
| U+2201 (8705) | 
|
∁ | COMPLEMENT |
| U+2202 (8706) | 
|
∂ | PARTIAL DIFFERENTIAL |
| U+2203 (8707) | 
|
∃ | THERE EXISTS |
| U+2204 (8708) | 
|
∄ | THERE DOES NOT EXIST |
| U+2205 (8709) | 
|
∅ | EMPTY SET |
| U+2206 (8710) | 
|
∆ | INCREMENT |
| U+2207 (8711) | 
|
∇ | NABLA |
| U+2208 (8712) | 
|
∈ | ELEMENT OF |
| U+2209 (8713) | 
|
∉ | NOT AN ELEMENT OF |
| U+220A (8714) | ∊ | SMALL ELEMENT OF | |
| U+220B (8715) | 
|
∋ | CONTAINS AS MEMBER |
| U+220C (8716) | 
|
∌ | DOES NOT CONTAIN AS MEMBER |
| U+220D (8717) | ∍ | SMALL CONTAINS AS MEMBER | |
| U+220E (8718) | ∎ | END OF PROOF | |
| U+220F (8719) | 
|
∏ | N-ARY PRODUCT |
| U+2210 (8720) | 
|
∐ | N-ARY COPRODUCT |
| U+2211 (8721) | 
|
∑ | N-ARY SUMMATION |
| U+2212 (8722) | 
|
− | MINUS SIGN |
| U+2213 (8723) | 
|
∓ | MINUS-OR-PLUS SIGN |
| U+2214 (8724) | ∔ | DOT PLUS | |
| U+2215 (8725) | ∕ | DIVISION SLASH | |
| U+2216 (8726) | ∖ | SET MINUS | |
| U+2217 (8727) | ∗ | ASTERISK OPERATOR | |
| U+2218 (8728) | ∘ | RING OPERATOR | |
| U+2219 (8729) | ∙ | BULLET OPERATOR | |
| U+221A (8730) | 
|
√ | SQUARE ROOT |
| U+221B (8731) | 
|
∛ | CUBE ROOT |
| U+221C (8732) | 
|
∜ | FOURTH ROOT |
| U+221D (8733) | ∝ | PROPORTIONAL TO | |
| U+221E (8734) | 
|
∞ | INFINITY |
| U+221F (8735) | ∟ | RIGHT ANGLE | |
| U+2220 (8736) | 
|
∠ | ANGLE |
| U+2221 (8737) | 
|
∡ | MEASURED ANGLE |
| U+2222 (8738) | 
|
∢ | SPHERICAL ANGLE |
| U+2223 (8739) | 
|
∣ | DIVIDES |
| U+2224 (8740) | 
|
∤ | DOES NOT DIVIDE |
| U+2225 (8741) | 
|
∥ | PARALLEL TO |
| U+2226 (8742) | 
|
∦ | NOT PARALLEL TO |
| U+2227 (8743) | 
|
∧ | LOGICAL AND |
| U+2228 (8744) | 
|
∨ | LOGICAL OR |
| U+2229 (8745) | 
|
∩ | INTERSECTION |
| U+222A (8746) | 
|
∪ | UNION |
| U+222B (8747) | 
|
∫ | INTEGRAL |
| U+222C (8748) | 
|
∬ | DOUBLE INTEGRAL |
| U+222D (8749) | 
|
∭ | TRIPLE INTEGRAL |
| U+222E (8750) | 
|
∮ | CONTOUR INTEGRAL |
| U+222F (8751) | 
|
∯ | SURFACE INTEGRAL |
| U+2230 (8752) | 
|
∰ | VOLUME INTEGRAL |
| U+2231 (8753) | 
|
∱ | CLOCKWISE INTEGRAL |
| U+2232 (8754) | 
|
∲ | CLOCKWISE CONTOUR INTEGRAL |
| U+2233 (8755) | 
|
∳ | ANTICLOCKWISE CONTOUR INTEGRAL |
| U+2234 (8756) | 
|
∴ | THEREFORE |
| U+2235 (8757) | 
|
∵ | BECAUSE |
| U+2236 (8758) | ∶ | RATIO | |
| U+2237 (8759) | ∷ | PROPORTION | |
| U+2238 (8760) | ∸ | DOT MINUS | |
| U+2239 (8761) | ∹ | EXCESS | |
| U+223A (8762) | ∺ | GEOMETRIC PROPORTION | |
| U+223B (8763) | ∻ | HOMOTHETIC | |
| U+223C (8764) | 
|
∼ | TILDE OPERATOR |
| U+223D (8765) | ∽ | REVERSED TILDE | |
| U+223E (8766) | ∾ | INVERTED LAZY S | |
| U+223F (8767) | ∿ | SINE WAVE | |
| U+2240 (8768) | ≀ | WREATH PRODUCT | |
| U+2241 (8769) | ≁ | NOT TILDE | |
| U+2242 (8770) | ≂ | MINUS TILDE | |
| U+2243 (8771) | ≃ | ASYMPTOTICALLY EQUAL TO | |
| U+2244 (8772) | ≄ | NOT ASYMPTOTICALLY EQUAL TO | |
| U+2245 (8773) | ≅ | APPROXIMATELY EQUAL TO | |
| U+2246 (8774) | ≆ | APPROXIMATELY BUT NOT ACTUALLY EQUAL TO | |
| U+2247 (8775) | ≇ | NEITHER APPROXIMATELY NOR ACTUALLY EQUAL TO | |
| U+2248 (8776) | 
|
≈ | ALMOST EQUAL TO |
| U+2249 (8777) | ≉ | NOT ALMOST EQUAL TO | |
| U+224A (8778) | ≊ | ALMOST EQUAL OR EQUAL TO | |
| U+224B (8779) | ≋ | TRIPLE TILDE | |
| U+224C (8780) | ≌ | ALL EQUAL TO | |
| U+224D (8781) | ≍ | EQUIVALENT TO | |
| U+224E (8782) | 
|
≎ | GEOMETRICALLY EQUIVALENT TO |
| U+224F (8783) | 
|
≏ | DIFFERENCE BETWEEN |
| U+2250 (8784) | ≐ | APPROACHES THE LIMIT | |
| U+2251 (8785) | ≑ | GEOMETRICALLY EQUAL TO | |
| U+2252 (8786) | ≒ | APPROXIMATELY EQUAL TO OR THE IMAGE OF | |
| U+2253 (8787) | ≓ | IMAGE OF OR APPROXIMATELY EQUAL TO | |
| U+2254 (8788) | ≔ | COLON EQUALS | |
| U+2255 (8789) | ≕ | EQUALS COLON | |
| U+2256 (8790) | ≖ | RING IN EQUAL TO | |
| U+2257 (8791) | ≗ | RING EQUAL TO | |
| U+2258 (8792) | ≘ | CORRESPONDS TO | |
| U+2259 (8793) | ≙ | ESTIMATES | |
| U+225A (8794) | ≚ | EQUIANGULAR TO | |
| U+225B (8795) | ≛ | STAR EQUALS | |
| U+225C (8796) | ≜ | DELTA EQUAL TO | |
| U+225D (8797) | ≝ | EQUAL TO BY DEFINITION | |
| U+225E (8798) | ≞ | MEASURED BY | |
| U+225F (8799) | 
|
≟ | QUESTIONED EQUAL TO |
| U+2260 (8800) | 
|
≠ | NOT EQUAL TO |
| U+2261 (8801) | 
|
≡ | IDENTICAL TO |
| U+2262 (8802) | 
|
≢ | NOT IDENTICAL TO |
| U+2263 (8803) | ≣ | STRICTLY EQUIVALENT TO | |
| U+2264 (8804) | 
|
≤ | LESS-THAN OR EQUAL TO |
| U+2265 (8805) | 
|
≥ | GREATER-THAN OR EQUAL TO |
| U+2266 (8806) | ≦ | LESS-THAN OVER EQUAL TO | |
| U+2267 (8807) | ≧ | GREATER-THAN OVER EQUAL TO | |
| U+2268 (8808) | ≨ | LESS-THAN BUT NOT EQUAL TO | |
| U+2269 (8809) | ≩ | GREATER-THAN BUT NOT EQUAL TO | |
| U+226A (8810) | ≪ | MUCH LESS-THAN | |
| U+226B (8811) | ≫ | MUCH GREATER-THAN | |
| U+226C (8812) | 
|
≬ | BETWEEN |
| U+226D (8813) | ≭ | NOT EQUIVALENT TO | |
| U+226E (8814) | 
|
≮ | NOT LESS-THAN |
| U+226F (8815) | 
|
≯ | NOT GREATER-THAN |
| U+2270 (8816) | ≰ | NEITHER LESS-THAN NOR EQUAL TO | |
| U+2271 (8817) | ≱ | NEITHER GREATER-THAN NOR EQUAL TO | |
| U+2272 (8818) | ≲ | LESS-THAN OR EQUIVALENT TO | |
| U+2273 (8819) | ≳ | GREATER-THAN OR EQUIVALENT TO | |
| U+2274 (8820) | ≴ | NEITHER LESS-THAN NOR EQUIVALENT TO | |
| U+2275 (8821) | ≵ | NEITHER GREATER-THAN NOR EQUIVALENT TO | |
| U+2276 (8822) | ≶ | LESS-THAN OR GREATER-THAN | |
| U+2277 (8823) | ≷ | GREATER-THAN OR LESS-THAN | |
| U+2278 (8824) | ≸ | NEITHER LESS-THAN NOR GREATER-THAN | |
| U+2279 (8825) | ≹ | NEITHER GREATER-THAN NOR LESS-THAN | |
| U+227A (8826) | ≺ | PRECEDES | |
| U+227B (8827) | ≻ | SUCCEEDS | |
| U+227C (8828) | ≼ | PRECEDES OR EQUAL TO | |
| U+227D (8829) | ≽ | SUCCEEDS OR EQUAL TO | |
| U+227E (8830) | ≾ | PRECEDES OR EQUIVALENT TO | |
| U+227F (8831) | ≿ | SUCCEEDS OR EQUIVALENT TO | |
| U+2280 (8832) | ⊀ | DOES NOT PRECEDE | |
| U+2281 (8833) | ⊁ | DOES NOT SUCCEED | |
| U+2282 (8834) | 
|
⊂ | SUBSET OF |
| U+2283 (8835) | 
|
⊃ | SUPERSET OF |
| U+2284 (8836) | 
|
⊄ | NOT A SUBSET OF |
| U+2285 (8837) | 
|
⊅ | NOT A SUPERSET OF |
| U+2286 (8838) | 
|
⊆ | SUBSET OF OR EQUAL TO |
| U+2287 (8839) | 
|
⊇ | SUPERSET OF OR EQUAL TO |
| U+2288 (8840) | ⊈ | NEITHER A SUBSET OF NOR EQUAL TO | |
| U+2289 (8841) | ⊉ | NEITHER A SUPERSET OF NOR EQUAL TO | |
| U+228A (8842) | ⊊ | SUBSET OF WITH NOT EQUAL TO | |
| U+228B (8843) | ⊋ | SUPERSET OF WITH NOT EQUAL TO | |
| U+228C (8844) | ⊌ | MULTISET | |
| U+228D (8845) | ⊍ | MULTISET MULTIPLICATION | |
| U+228E (8846) | ⊎ | MULTISET UNION | |
| U+228F (8847) | ⊏ | SQUARE IMAGE OF | |
| U+2290 (8848) | ⊐ | SQUARE ORIGINAL OF | |
| U+2291 (8849) | ⊑ | SQUARE IMAGE OF OR EQUAL TO | |
| U+2292 (8850) | ⊒ | SQUARE ORIGINAL OF OR EQUAL TO | |
| U+2293 (8851) | ⊓ | SQUARE CAP | |
| U+2294 (8852) | ⊔ | SQUARE CUP | |
| U+2295 (8853) | 
|
⊕ | CIRCLED PLUS |
| U+2296 (8854) | 
|
⊖ | CIRCLED MINUS |
| U+2297 (8855) | 
|
⊗ | CIRCLED TIMES |
| U+2298 (8856) | 
|
⊘ | CIRCLED DIVISION SLASH |
| U+2299 (8857) | 
|
⊙ | CIRCLED DOT OPERATOR |
| U+229A (8858) | 
|
⊚ | CIRCLED RING OPERATOR |
| U+229B (8859) | 
|
⊛ | CIRCLED ASTERISK OPERATOR |
| U+229C (8860) | 
|
⊜ | CIRCLED EQUALS |
| U+229D (8861) | 
|
⊝ | CIRCLED DASH |
| U+229E (8862) | 
|
⊞ | SQUARED PLUS |
| U+229F (8863) | 
|
⊟ | SQUARED MINUS |
| U+22A0 (8864) | 
|
⊠ | SQUARED TIMES |
| U+22A1 (8865) | 
|
⊡ | SQUARED DOT OPERATOR |
| U+22A2 (8866) | ⊢ | RIGHT TACK | |
| U+22A3 (8867) | ⊣ | LEFT TACK | |
| U+22A4 (8868) | ⊤ | DOWN TACK | |
| U+22A5 (8869) | 
|
⊥ | UP TACK |
| U+22A6 (8870) | ⊦ | ASSERTION | |
| U+22A7 (8871) | ⊧ | MODELS | |
| U+22A8 (8872) | ⊨ | TRUE | |
| U+22A9 (8873) | ⊩ | FORCES | |
| U+22AA (8874) | ⊪ | TRIPLE VERTICAL BAR RIGHT TURNSTILE | |
| U+22AB (8875) | ⊫ | DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE | |
| U+22AC (8876) | ⊬ | DOES NOT PROVE | |
| U+22AD (8877) | ⊭ | NOT TRUE | |
| U+22AE (8878) | ⊮ | DOES NOT FORCE | |
| U+22AF (8879) | ⊯ | NEGATED DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE | |
| U+22B0 (8880) | ⊰ | PRECEDES UNDER RELATION | |
| U+22B1 (8881) | ⊱ | SUCCEEDS UNDER RELATION | |
| U+22B2 (8882) | ⊲ | NORMAL SUBGROUP OF | |
| U+22B3 (8883) | ⊳ | CONTAINS AS NORMAL SUBGROUP | |
| U+22B4 (8884) | ⊴ | NORMAL SUBGROUP OF OR EQUAL TO | |
| U+22B5 (8885) | ⊵ | CONTAINS AS NORMAL SUBGROUP OR EQUAL TO | |
| U+22B6 (8886) | ⊶ | ORIGINAL OF | |
| U+22B7 (8887) | ⊷ | IMAGE OF | |
| U+22B8 (8888) | ⊸ | MULTIMAP | |
| U+22B9 (8889) | ⊹ | HERMITIAN CONJUGATE MATRIX | |
| U+22BA (8890) | ⊺ | INTERCALATE | |
| U+22BB (8891) | ⊻ | XOR | |
| U+22BC (8892) | ⊼ | NAND | |
| U+22BD (8893) | ⊽ | NOR | |
| U+22BE (8894) | ⊾ | RIGHT ANGLE WITH ARC | |
| U+22BF (8895) | ⊿ | RIGHT TRIANGLE | |
| U+22C0 (8896) | ⋀ | N-ARY LOGICAL AND | |
| U+22C1 (8897) | ⋁ | N-ARY LOGICAL OR | |
| U+22C2 (8898) | ⋂ | N-ARY INTERSECTION | |
| U+22C3 (8899) | ⋃ | N-ARY UNION | |
| U+22C4 (8900) | ⋄ | DIAMOND OPERATOR | |
| U+22C5 (8901) | ⋅ | DOT OPERATOR | |
| U+22C6 (8902) | ⋆ | STAR OPERATOR | |
| U+22C7 (8903) | ⋇ | DIVISION TIMES | |
| U+22C8 (8904) | ⋈ | BOWTIE | |
| U+22C9 (8905) | ⋉ | LEFT NORMAL FACTOR SEMIDIRECT PRODUCT | |
| U+22CA (8906) | ⋊ | RIGHT NORMAL FACTOR SEMIDIRECT PRODUCT | |
| U+22CB (8907) | ⋋ | LEFT SEMIDIRECT PRODUCT | |
| U+22CC (8908) | ⋌ | RIGHT SEMIDIRECT PRODUCT | |
| U+22CD (8909) | ⋍ | REVERSED TILDE EQUALS | |
| U+22CE (8910) | ⋎ | CURLY LOGICAL OR | |
| U+22CF (8911) | ⋏ | CURLY LOGICAL AND | |
| U+22D0 (8912) | ⋐ | DOUBLE SUBSET | |
| U+22D1 (8913) | ⋑ | DOUBLE SUPERSET | |
| U+22D2 (8914) | ⋒ | DOUBLE INTERSECTION | |
| U+22D3 (8915) | ⋓ | DOUBLE UNION | |
| U+22D4 (8916) | ⋔ | PITCHFORK | |
| U+22D5 (8917) | ⋕ | EQUAL AND PARALLEL TO | |
| U+22D6 (8918) | ⋖ | LESS-THAN WITH DOT | |
| U+22D7 (8919) | ⋗ | GREATER-THAN WITH DOT | |
| U+22D8 (8920) | ⋘ | VERY MUCH LESS-THAN | |
| U+22D9 (8921) | ⋙ | VERY MUCH GREATER-THAN | |
| U+22DA (8922) | ⋚ | LESS-THAN EQUAL TO OR GREATER-THAN | |
| U+22DB (8923) | ⋛ | GREATER-THAN EQUAL TO OR LESS-THAN | |
| U+22DC (8924) | ⋜ | EQUAL TO OR LESS-THAN | |
| U+22DD (8925) | ⋝ | EQUAL TO OR GREATER-THAN | |
| U+22DE (8926) | ⋞ | EQUAL TO OR PRECEDES | |
| U+22DF (8927) | ⋟ | EQUAL TO OR SUCCEEDS | |
| U+22E0 (8928) | ⋠ | DOES NOT PRECEDE OR EQUAL | |
| U+22E1 (8929) | ⋡ | DOES NOT SUCCEED OR EQUAL | |
| U+22E2 (8930) | ⋢ | NOT SQUARE IMAGE OF OR EQUAL TO | |
| U+22E3 (8931) | ⋣ | NOT SQUARE ORIGINAL OF OR EQUAL TO | |
| U+22E4 (8932) | ⋤ | SQUARE IMAGE OF OR NOT EQUAL TO | |
| U+22E5 (8933) | ⋥ | SQUARE ORIGINAL OF OR NOT EQUAL TO | |
| U+22E6 (8934) | ⋦ | LESS-THAN BUT NOT EQUIVALENT TO | |
| U+22E7 (8935) | ⋧ | GREATER-THAN BUT NOT EQUIVALENT TO | |
| U+22E8 (8936) | ⋨ | PRECEDES BUT NOT EQUIVALENT TO | |
| U+22E9 (8937) | ⋩ | SUCCEEDS BUT NOT EQUIVALENT TO | |
| U+22EA (8938) | ⋪ | NOT NORMAL SUBGROUP OF | |
| U+22EB (8939) | ⋫ | DOES NOT CONTAIN AS NORMAL SUBGROUP | |
| U+22EC (8940) | ⋬ | NOT NORMAL SUBGROUP OF OR EQUAL TO | |
| U+22ED (8941) | ⋭ | DOES NOT CONTAIN AS NORMAL SUBGROUP OR EQUAL | |
| U+22EE (8942) | 
|
⋮ | VERTICAL ELLIPSIS |
| U+22EF (8943) | 
|
⋯ | MIDLINE HORIZONTAL ELLIPSIS |
| U+22F0 (8944) | 
|
⋰ | UP RIGHT DIAGONAL ELLIPSIS |
| U+22F1 (8945) | 
|
⋱ | DOWN RIGHT DIAGONAL ELLIPSIS |
| U+22F2 (8946) | ⋲ | ELEMENT OF WITH LONG HORIZONTAL STROKE | |
| U+22F3 (8947) | ⋳ | ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE | |
| U+22F4 (8948) | ⋴ | SMALL ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE | |
| U+22F5 (8949) | ⋵ | ELEMENT OF WITH DOT ABOVE | |
| U+22F6 (8950) | ⋶ | ELEMENT OF WITH OVERBAR | |
| U+22F7 (8951) | ⋷ | SMALL ELEMENT OF WITH OVERBAR | |
| U+22F8 (8952) | ⋸ | ELEMENT OF WITH UNDERBAR | |
| U+22F9 (8953) | ⋹ | ELEMENT OF WITH TWO HORIZONTAL STROKES | |
| U+22FA (8954) | ⋺ | CONTAINS WITH LONG HORIZONTAL STROKE | |
| U+22FB (8955) | ⋻ | CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE | |
| U+22FC (8956) | ⋼ | SMALL CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE | |
| U+22FD (8957) | ⋽ | CONTAINS WITH OVERBAR | |
| U+22FE (8958) | ⋾ | SMALL CONTAINS WITH OVERBAR | |
| U+22FF (8959) | ⋿ | Z NOTATION BAG MEMBERSHIP |