Info

UTF-8 Mathematical Operators

Common Arithmetic & Alebgra

Codes for Common Math Symbols
Character Name Character Entity Num
Entity		 Hex
Entity
LESS THAN < &lt; &#60; &#x3C;
GREATER THAN > &gt; &#62; &#x3E;
LESS THAN OR EQUAL TO ≤ &le; &#8804; &#x2264;
GREATER THAN OR EQUAL TO ≥ &ge; &#8805; &#x2265;
PLUS OR MINUS ± &plusmn; &#177; &#xB1;
NOT EQUALS ≠ &ne; &#8800; &#x2260;
DIVISION SIGN ÷ &divide; &#247; &#xF7;
TIMES X × &times; &#215; &#x00D7;
MINUS − &minus; &#8722; &#x2212;
DIVISION SLASH ∕ — &#8725; &#x2215;
FRACTION SLASH ⁄ &frasl &#8260; &#x2044;
SQUARE ROOT RADICAL √ &radic; &#8730; &#x221A;
CUBE ROOT ∛ — &#8731; &#x221B;
FOURTH ROOT ∜ — &#8732; &#x221C;
INFINITY ∞ &infin; &#8734; &#x221E;
ALEF INFINITY SYMBOL ℵ &alefsym; &#8501; &#x2135;
FUNCTION ITALIC F ƒ &fnof; &#402; &#x192;
PRIME (single quote) ′ &prime; &#8242; &#x2032;
DOUBLE PRIME (double quote) ″ &Prime; &#8243; &#x2033;
TRIPLE PRIME (triple quote) ‴ — &#8244; &#x2034;
THEREFORE (Triangular Dots) ∴ &there4; &#8756; &#x2234;
DOT OPERATOR ⋅ &sdot; &#8901; &#x22C5
SUPERSCRIPT TWO ¹ &sup1; &#185; &#xB9;
SUPERSCRIPT TWO ² &sup2; &#178; &#xB2;
SUPERSCRIPT THREE ³ &sup3; &#179; &#xB3;
LEFT ANGLE BRACKET ⟨ &lang; &#9001; &#x2329;
RIGHT ANGLE BRACKET ⟩ &rang; &#9002; &#x232A;
LEFT CEILING BRACKET ⌈ &lceil; &#8968; &#x2308;
RIGHT CEILING BRACKET ⌉ &rceil; &#8969; &#x2309;
LEFT FLOOR BRACKET ⌊ &lceil; &#8970; &#x230A;
RIGHT FLOOR BRACKET ⌋ &rceil; &#8971; &#x230B;
CIRCLED PLUS (Direct Sum) ⊕ &oplus; &#8853; &#x2295;
CIRCLED TIMES (Vector Product) ⊗ &otimes; &#8855; &#x2297;

Superscript and Subscript

HTML

With the Tags

You can use the <sup></sup> tag to create superscript text and <sub></sub> to create su-script text. Or you can use the codes below.

Code: x<sup>x+1</sup>
Result: xx+1

Code: x<sub>i+1</sub>
Result: xi+1

With the Codes

Code: x&sup2;
Result: x²

Code: x&#8308;
Result: x⁴

Fractions

Codes for Fracctions
Character Name Character Entity Num
Entity		 Hex
Entity
VULGAR FRACTION 1/4 ¼ &frac14; &#188; &#xBC;
VULGAR FRACTION 1/2 ½ &frac12; &#189; &#xBD;
VULGAR FRACTION 3/4 ¾ &frac34; &#190; &#xBE;
VULGAR FRACTION 1/3 ⅓ — &#8531; &#x2153;
VULGAR FRACTION 2/3 ⅔ — &#8532; &#x2154;
VULGAR FRACTION 1/5 ⅕ — &#8533; &#x2155;
VULGAR FRACTION 2/5 ⅖ — &#8354; &#x2156;
VULGAR FRACTION 3/5 ⅗ — &#8535; &#x2157;
VULGAR FRACTION 4/5 ⅘ — &#8536; &#x2158;
VULGAR FRACTION 1/6 ⅙ — &#8537; &#x2159;
VULGAR FRACTION 5/6 ⅚ — &#8538; &#x215A;
VULGAR FRACTION 1/8 ⅛ — &#8539; &#x215B;
VULGAR FRACTION 3/8 ⅜ — &#8540; &#x215C;
VULGAR FRACTION 5/8 ⅝ — &#8541; &#x215D;
VULGAR FRACTION 7/8 ⅞ — &#8542; &#x215E;

Geometric Symbols

Note: The entity code for the Angle Symbol (∠) is &ang; and the code for the perpendicular angle (⊥) is &perp;.
Otherwise, these symbols have numeric codes only.

Angles and Lines

Codes for Angle/Line Symbols
Character Name Character Num
Entity		 Hex
Entity
RIGHT ANGLE ∟ &#8735; &#x221F;
ANGLE
Entity Code = &ang;		 ∠ &#8736; &#x2220;
MEASURED ANGLE ∡ &#8737; &#x2221;
SPHERICAL ANGLE ∢ &#8738; &#x2222;
DIVIDES ∣ &#8739; &#x2223;
DOES NOT DIVIDE ∤ &#8740; &#x2224;
PARALLEL TO ∥ &#8741; &#x2225;
NOT PARALLEL TO ∦ &#8742; &#x2226;
RIGHT ANGLE WITH ARC ⊾ &#8894; &#x22BE;
RIGHT TRIANGLE ⊿ &#8895; &#x22BF;
UP TACK (Perpendicular)
Entity Code = &perp; 		⊥ &#8869; &#x22A5;
RIGHT TACK ⊢ &#8866; &#x22A2;
LEFT TACK ⊣ &#8867; &#x22A3;
DOWN TACK ⊤ &#8868; &#x

Mathematical Symbols

Char Dec Hex Entity Name
∀ 8704 2200 &forall; FOR ALL
∁ 8705 2201 COMPLEMENT
∂ 8706 2202 &part; PARTIAL DIFFERENTIAL
∃ 8707 2203 &exist; THERE EXISTS
∄ 8708 2204 THERE DOES NOT EXIST
∅ 8709 2205 &empty; EMPTY SET
∆ 8710 2206 INCREMENT
∇ 8711 2207 &nabla; NABLA
∈ 8712 2208 &isin; ELEMENT OF
∉ 8713 2209 &notin; NOT AN ELEMENT OF
∊ 8714 220A SMALL ELEMENT OF
∋ 8715 220B &ni; CONTAINS AS MEMBER
∌ 8716 220C DOES NOT CONTAIN AS MEMBER
∍ 8717 220D SMALL CONTAINS AS MEMBER
∎ 8718 220E END OF PROOF
∏ 8719 220F &prod; N-ARY PRODUCT
∐ 8720 2210 N-ARY COPRODUCT
∑ 8721 2211 &sum; N-ARY SUMMATION
− 8722 2212 &minus; MINUS SIGN
∓ 8723 2213 MINUS-OR-PLUS SIGN
∔ 8724 2214 DOT PLUS
∕ 8725 2215 DIVISION SLASH
∖ 8726 2216 SET MINUS
∗ 8727 2217 &lowast; ASTERISK OPERATOR
∘ 8728 2218 RING OPERATOR
∙ 8729 2219 BULLET OPERATOR
√ 8730 221A &radic; SQUARE ROOT
∛ 8731 221B CUBE ROOT
∜ 8732 221C FOURTH ROOT
∝ 8733 221D &prop; PROPORTIONAL TO
∞ 8734 221E &infin; INFINITY
∟ 8735 221F RIGHT ANGLE
∠ 8736 2220 &ang; ANGLE
∡ 8737 2221 MEASURED ANGLE
∢ 8738 2222 SPHERICAL ANGLE
∣ 8739 2223 DIVIDES
∤ 8740 2224 DOES NOT DIVIDE
∥ 8741 2225 PARALLEL TO
∦ 8742 2226 NOT PARALLEL TO
∧ 8743 2227 &and; LOGICAL AND
∨ 8744 2228 &or; LOGICAL OR
∩ 8745 2229 &cap; INTERSECTION
∪ 8746 222A &cup; UNION
∫ 8747 222B &int; INTEGRAL
∬ 8748 222C DOUBLE INTEGRAL
∭ 8749 222D TRIPLE INTEGRAL
∮ 8750 222E CONTOUR INTEGRAL
∯ 8751 222F SURFACE INTEGRAL
∰ 8752 2230 VOLUME INTEGRAL
∱ 8753 2231 CLOCKWISE INTEGRAL
∲ 8754 2232 CLOCKWISE CONTOUR INTEGRAL
∳ 8755 2233 ANTICLOCKWISE CONTOUR INTEGRAL
∴ 8756 2234 &there4; THEREFORE
∵ 8757 2235 BECAUSE
∶ 8758 2236 RATIO
∷ 8759 2237 PROPORTION
∸ 8760 2238 DOT MINUS
∹ 8761 2239 EXCESS
∺ 8762 223A GEOMETRIC PROPORTION
∻ 8763 223B HOMOTHETIC
∼ 8764 223C &sim; TILDE OPERATOR
∽ 8765 223D REVERSED TILDE
∾ 8766 223E INVERTED LAZY S
∿ 8767 223F SINE WAVE
≀ 8768 2240 WREATH PRODUCT
≁ 8769 2241 NOT TILDE
≂ 8770 2242 MINUS TILDE
≃ 8771 2243 ASYMPTOTICALLY EQUAL TO
≄ 8772 2244 NOT ASYMPTOTICALLY EQUAL TO
≅ 8773 2245 &cong; APPROXIMATELY EQUAL TO
≆ 8774 2246 APPROXIMATELY BUT NOT ACTUALLY EQUAL TO
≇ 8775 2247 NEITHER APPROXIMATELY NOR ACTUALLY EQUAL TO
≈ 8776 2248 &asymp; ALMOST EQUAL TO
≉ 8777 2249 NOT ALMOST EQUAL TO
≊ 8778 224A ALMOST EQUAL OR EQUAL TO
≋ 8779 224B TRIPLE TILDE
≌ 8780 224C ALL EQUAL TO
≍ 8781 224D EQUIVALENT TO
≎ 8782 224E GEOMETRICALLY EQUIVALENT TO
≏ 8783 224F DIFFERENCE BETWEEN
≐ 8784 2250 APPROACHES THE LIMIT
≑ 8785 2251 GEOMETRICALLY EQUAL TO
≒ 8786 2252 APPROXIMATELY EQUAL TO OR THE IMAGE OF
≓ 8787 2253 IMAGE OF OR APPROXIMATELY EQUAL TO
≔ 8788 2254 COLON EQUALS
≕ 8789 2255 EQUALS COLON
≖ 8790 2256 RING IN EQUAL TO
≗ 8791 2257 RING EQUAL TO
≘ 8792 2258 CORRESPONDS TO
≙ 8793 2259 ESTIMATES
≚ 8794 225A EQUIANGULAR TO
≛ 8795 225B STAR EQUALS
≜ 8796 225C DELTA EQUAL TO
≝ 8797 225D EQUAL TO BY DEFINITION
≞ 8798 225E MEASURED BY
≟ 8799 225F QUESTIONED EQUAL TO
≠ 8800 2260 &ne; NOT EQUAL TO
≡ 8801 2261 &equiv; IDENTICAL TO
≢ 8802 2262 NOT IDENTICAL TO
≣ 8803 2263 STRICTLY EQUIVALENT TO
≤ 8804 2264 &le; LESS-THAN OR EQUAL TO
≥ 8805 2265 &ge; GREATER-THAN OR EQUAL TO
≦ 8806 2266 LESS-THAN OVER EQUAL TO
≧ 8807 2267 GREATER-THAN OVER EQUAL TO
≨ 8808 2268 LESS-THAN BUT NOT EQUAL TO
≩ 8809 2269 GREATER-THAN BUT NOT EQUAL TO
≪ 8810 226A MUCH LESS-THAN
≫ 8811 226B MUCH GREATER-THAN
≬ 8812 226C BETWEEN
≭ 8813 226D NOT EQUIVALENT TO
≮ 8814 226E NOT LESS-THAN
≯ 8815 226F NOT GREATER-THAN
≰ 8816 2270 NEITHER LESS-THAN NOR EQUAL TO
≱ 8817 2271 NEITHER GREATER-THAN NOR EQUAL TO
≲ 8818 2272 LESS-THAN OR EQUIVALENT TO
≳ 8819 2273 GREATER-THAN OR EQUIVALENT TO
≴ 8820 2274 NEITHER LESS-THAN NOR EQUIVALENT TO
≵ 8821 2275 NEITHER GREATER-THAN NOR EQUIVALENT TO
≶ 8822 2276 LESS-THAN OR GREATER-THAN
≷ 8823 2277 GREATER-THAN OR LESS-THAN
≸ 8824 2278 NEITHER LESS-THAN NOR GREATER-THAN
≹ 8825 2279 NEITHER GREATER-THAN NOR LESS-THAN
≺ 8826 227A PRECEDES
≻ 8827 227B SUCCEEDS
≼ 8828 227C PRECEDES OR EQUAL TO
≽ 8829 227D SUCCEEDS OR EQUAL TO
≾ 8830 227E PRECEDES OR EQUIVALENT TO
≿ 8831 227F SUCCEEDS OR EQUIVALENT TO
⊀ 8832 2280 DOES NOT PRECEDE
⊁ 8833 2281 DOES NOT SUCCEED
⊂ 8834 2282 &sub; SUBSET OF
⊃ 8835 2283 &sup; SUPERSET OF
⊄ 8836 2284 &nsub; NOT A SUBSET OF
⊅ 8837 2285 NOT A SUPERSET OF
⊆ 8838 2286 &sube; SUBSET OF OR EQUAL TO
⊇ 8839 2287 &supe; SUPERSET OF OR EQUAL TO
⊈ 8840 2288 NEITHER A SUBSET OF NOR EQUAL TO
⊉ 8841 2289 NEITHER A SUPERSET OF NOR EQUAL TO
⊊ 8842 228A SUBSET OF WITH NOT EQUAL TO
⊋ 8843 228B SUPERSET OF WITH NOT EQUAL TO
⊌ 8844 228C MULTISET
⊍ 8845 228D MULTISET MULTIPLICATION
⊎ 8846 228E MULTISET UNION
⊏ 8847 228F SQUARE IMAGE OF
⊐ 8848 2290 SQUARE ORIGINAL OF
⊑ 8849 2291 SQUARE IMAGE OF OR EQUAL TO
⊒ 8850 2292 SQUARE ORIGINAL OF OR EQUAL TO
⊓ 8851 2293 SQUARE CAP
⊔ 8852 2294 SQUARE CUP
⊕ 8853 2295 &oplus; CIRCLED PLUS
⊖ 8854 2296 CIRCLED MINUS
⊗ 8855 2297 &otimes; CIRCLED TIMES
⊘ 8856 2298 CIRCLED DIVISION SLASH
⊙ 8857 2299 CIRCLED DOT OPERATOR
⊚ 8858 229A CIRCLED RING OPERATOR
⊛ 8859 229B CIRCLED ASTERISK OPERATOR
⊜ 8860 229C CIRCLED EQUALS
⊝ 8861 229D CIRCLED DASH
⊞ 8862 229E SQUARED PLUS
⊟ 8863 229F SQUARED MINUS
⊠ 8864 22A0 SQUARED TIMES
⊡ 8865 22A1 SQUARED DOT OPERATOR
⊢ 8866 22A2 RIGHT TACK
⊣ 8867 22A3 LEFT TACK
⊤ 8868 22A4 DOWN TACK
⊥ 8869 22A5 &perp; UP TACK
⊦ 8870 22A6 ASSERTION
⊧ 8871 22A7 MODELS
⊨ 8872 22A8 TRUE
⊩ 8873 22A9 FORCES
⊪ 8874 22AA TRIPLE VERTICAL BAR RIGHT TURNSTILE
⊫ 8875 22AB DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE
⊬ 8876 22AC DOES NOT PROVE
⊭ 8877 22AD NOT TRUE
⊮ 8878 22AE DOES NOT FORCE
⊯ 8879 22AF NEGATED DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE
⊰ 8880 22B0 PRECEDES UNDER RELATION
⊱ 8881 22B1 SUCCEEDS UNDER RELATION
⊲ 8882 22B2 NORMAL SUBGROUP OF
⊳ 8883 22B3 CONTAINS AS NORMAL SUBGROUP
⊴ 8884 22B4 NORMAL SUBGROUP OF OR EQUAL TO
⊵ 8885 22B5 CONTAINS AS NORMAL SUBGROUP OR EQUAL TO
⊶ 8886 22B6 ORIGINAL OF
⊷ 8887 22B7 IMAGE OF
⊸ 8888 22B8 MULTIMAP
⊹ 8889 22B9 HERMITIAN CONJUGATE MATRIX
⊺ 8890 22BA INTERCALATE
⊻ 8891 22BB XOR
⊼ 8892 22BC NAND
⊽ 8893 22BD NOR
⊾ 8894 22BE RIGHT ANGLE WITH ARC
⊿ 8895 22BF RIGHT TRIANGLE
⋀ 8896 22C0 N-ARY LOGICAL AND
⋁ 8897 22C1 N-ARY LOGICAL OR
⋂ 8898 22C2 N-ARY INTERSECTION
⋃ 8899 22C3 N-ARY UNION
⋄ 8900 22C4 DIAMOND OPERATOR
⋅ 8901 22C5 &sdot; DOT OPERATOR
⋆ 8902 22C6 STAR OPERATOR
⋇ 8903 22C7 DIVISION TIMES
⋈ 8904 22C8 BOWTIE
⋉ 8905 22C9 LEFT NORMAL FACTOR SEMIDIRECT PRODUCT
⋊ 8906 22CA RIGHT NORMAL FACTOR SEMIDIRECT PRODUCT
⋋ 8907 22CB LEFT SEMIDIRECT PRODUCT
⋌ 8908 22CC RIGHT SEMIDIRECT PRODUCT
⋍ 8909 22CD REVERSED TILDE EQUALS
⋎ 8910 22CE CURLY LOGICAL OR
⋏ 8911 22CF CURLY LOGICAL AND
⋐ 8912 22D0 DOUBLE SUBSET
⋑ 8913 22D1 DOUBLE SUPERSET
⋒ 8914 22D2 DOUBLE INTERSECTION
⋓ 8915 22D3 DOUBLE UNION
⋔ 8916 22D4 PITCHFORK
⋕ 8917 22D5 EQUAL AND PARALLEL TO
⋖ 8918 22D6 LESS-THAN WITH DOT
⋗ 8919 22D7 GREATER-THAN WITH DOT
⋘ 8920 22D8 VERY MUCH LESS-THAN
⋙ 8921 22D9 VERY MUCH GREATER-THAN
⋚ 8922 22DA LESS-THAN EQUAL TO OR GREATER-THAN
⋛ 8923 22DB GREATER-THAN EQUAL TO OR LESS-THAN
⋜ 8924 22DC EQUAL TO OR LESS-THAN
⋝ 8925 22DD EQUAL TO OR GREATER-THAN
⋞ 8926 22DE EQUAL TO OR PRECEDES
⋟ 8927 22DF EQUAL TO OR SUCCEEDS
⋠ 8928 22E0 DOES NOT PRECEDE OR EQUAL
⋡ 8929 22E1 DOES NOT SUCCEED OR EQUAL
⋢ 8930 22E2 NOT SQUARE IMAGE OF OR EQUAL TO
⋣ 8931 22E3 NOT SQUARE ORIGINAL OF OR EQUAL TO
⋤ 8932 22E4 SQUARE IMAGE OF OR NOT EQUAL TO
⋥ 8933 22E5 SQUARE ORIGINAL OF OR NOT EQUAL TO
⋦ 8934 22E6 LESS-THAN BUT NOT EQUIVALENT TO
⋧ 8935 22E7 GREATER-THAN BUT NOT EQUIVALENT TO
⋨ 8936 22E8 PRECEDES BUT NOT EQUIVALENT TO
⋩ 8937 22E9 SUCCEEDS BUT NOT EQUIVALENT TO
⋪ 8938 22EA NOT NORMAL SUBGROUP OF
⋫ 8939 22EB DOES NOT CONTAIN AS NORMAL SUBGROUP
⋬ 8940 22EC NOT NORMAL SUBGROUP OF OR EQUAL TO
⋭ 8941 22ED DOES NOT CONTAIN AS NORMAL SUBGROUP OR EQUAL
⋮ 8942 22EE VERTICAL ELLIPSIS
⋯ 8943 22EF MIDLINE HORIZONTAL ELLIPSIS
⋰ 8944 22F0 UP RIGHT DIAGONAL ELLIPSIS
⋱ 8945 22F1 DOWN RIGHT DIAGONAL ELLIPSIS
⋲ 8946 22F2 ELEMENT OF WITH LONG HORIZONTAL STROKE
⋳ 8947 22F3 ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋴ 8948 22F4 SMALL ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋵ 8949 22F5 ELEMENT OF WITH DOT ABOVE
⋶ 8950 22F6 ELEMENT OF WITH OVERBAR
⋷ 8951 22F7 SMALL ELEMENT OF WITH OVERBAR
⋸ 8952 22F8 ELEMENT OF WITH UNDERBAR
⋹ 8953 22F9 ELEMENT OF WITH TWO HORIZONTAL STROKES
⋺ 8954 22FA CONTAINS WITH LONG HORIZONTAL STROKE
⋻ 8955 22FB CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋼ 8956 22FC SMALL CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋽ 8957 22FD CONTAINS WITH OVERBAR
⋾ 8958 22FE SMALL CONTAINS WITH OVERBAR
⋿ 8959 22FF Z NOTATION BAG MEMBERSHIP
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