Math: Brackets

Character Description HTML entity Unicode Mac shortcut Windows shortcut
[ left square bracket (opening) [ ⌥5 Alt 0091
] right square bracket (closing) ] ⌥6 Alt 0093
{ Left curly bracket (opening) { ⌥8 Alt 0123
} right curly bracket (closing) } ⌥9 Alt 0125
⟨ left angle bracket (opening) ⟨ ⟨
⟩ right angle bracket (closing) ⟩ ⟩

Math: Equivalence

Character Description HTML entity Unicode Mac shortcut Windows shortcut
∼ similar to ∼ ∼
≈ asymptotic to / almost equal to ≈ ≈ ⌥X
≅ congruent ≅ ≅
≡ equivalent / identical to ≡ ≡
≠ not equal to ≠ ≠ ⌥0

Math: Algebra

Character Description HTML entity Unicode Mac shortcut Windows shortcut
− minus sign − −
± plus-minus sign ± ± ⌥+ Alt 0177
√ radical sign ("square root") √ √ ⌥V
⋅ dot operator / interpunct ⋅ ⋅ ⇧⌥9
× multiplication sign / times sign × × Alt 0215
∗ asterisk operator ∗ ∗
÷ division sign (obelus) ÷ ÷ ⇧⌥. Alt 0241
¼ fraction one quarter ¼ ¼ Alt 0188
½ fraction one half ½ ½ Alt 0189
¾ fraction three quarters ¾ ¾ Alt 1090
∝ proportional to ∝ ∝
∞ infinity sign ∞ ∞ ⌥,
< less than &lt; &#x003C; Alt 0060
≤ less than or equal to &le; &#x2264; ⌥<
> greater than &gt; &#x003E; Alt 0062
≥ greater than or equal to &ge; &#x2265; ⇧⌥<

Math: Analysis / Calculus

Character Description HTML entity Unicode Mac shortcut Windows shortcut
ƒ mathematical function ƒ(x) &fnof; &#x0192; ⌥F Alt 0131
∫ integral &int; &#x222B; ⌥B
∂ partial differential &part; &#x2202; ⌥D

Math: Geometry

Character Description HTML entity Unicode Mac shortcut Windows shortcut
∠ angle &ang; &#x2220;
⊥ perpendicular to / orthogonal to &perp; &#x22A5;
° degree sign &deg; &#x00B0; ⇧⌥Ü Alt 0176
′ minutes &prime; &#x2032;
″ seconds &Prime; &#x2033;

Math: Vector analysis

Character Description HTML entity Unicode Mac shortcut Windows shortcut
⊕ direct sum &oplus; &#x2295;
⊗ tensor product &otimes; &#x2297;
∇ nabla / differential operator &nabla; &#x2207;
⋅ dot operator / scalar product &sdot; &#x22C5; ⇧⌥9
× cross product &times; &#x00D7; Alt 0215

Logic

Character Description HTML entity Unicode Mac shortcut Windows shortcut
∧ and (logical conjunction) &and; &#x2227;
∨ or (logical disjunction) &or; &#x2228;
¬ not sign (negation) &not; &#x00AC; Alt 0172
⊕ exclusive disjunction ("either … or") &oplus; &#x2295;
∴ therefore &there4; &#x2234;
∈ element of &isin; &#x2208;
∉ not an element of &notin; &#x2209;
∋ contains as member &ni; &#x220B;
∀ for all &forall; &#x2200;
∃ exists &exist; &#x2203;
∅ empty set / diameter &empty; &#x2205;
∩ intersection / cap &cap; &#x2229;
∪ union / cup &cup; &#x222A;
⊃ superset of &sup; &#x2283;
⊇ superset of or equal to &supe; &#x2287;
⊂ subset of &sub; &#x2282;
⊆ subset of or equal to &sube; &#x2286;
⊄ not a subset of &nsub; &#x2284;
→ material conditional (implication) &rarr; &#x2192;
↔ if and only if (biconditional) &harr; &#x2194;
Δ Delta / difference &Delta; &#x0394; ⌥K

Mathematical letters

Character Description HTML entity Unicode Mac shortcut Windows shortcut
µ micro sign (my) &micro; &#x00B5; ⌥M Alt 0181
ℜ black-letter R (real part of complex numbers) &real; &#x211C;
ℑ black-letter I (imaginary part of complex numbers) &image; &#x2111;
ℵ aleph (cardinality) &alefsym; &#x2135;
℘ script capital P (Weierstrass p) &weierp; &#x2118;
∑ summation operator &sum; &#x2211; ⌥W
∏ product operator &prod; &#x220F; ⇧⌥P