Symbol in HTML Symbol in TeX Name Explanation Examples Read as Category = = (\ displaystyle =) equality is equal to; equals everywhere x = y (\ displaystyle x = y) means x (\ displaystyle x) and y (\ displaystyle y) represent the same thing or value. 2 = 2 (\ displaystyle 2 = 2) 1 + 1 = 2 (\ displaystyle 1 + 1 = 2) 36 − 5 = 31 (\ displaystyle 36 - 5 = 31) ≠ ≠ (\ displaystyle \ neq) \ ne inequality is not equal to; does not equal everywhere x ≠ y (\ displaystyle x \ neq y) means that x (\ displaystyle x) and y (\ displaystyle y) do not represent the same thing or value. (The forms! =, / = or < > are generally used in programming languages where ease of typing and use of ASCII text is preferred.) 2 + 2 ≠ 5 (\ displaystyle 2 + 2 \ neq 5) 36 − 5 ≠ 30 (\ displaystyle 36 - 5 \ neq 30) ≈ ≈ (\ displaystyle \ approx) \ approx approximately equal is approximately equal to everywhere x ≈ y means x is approximately equal to y. This may also be written ≃, ≅, ~, ♎ (Libra Symbol), or ≒. π ≈ 3.14159 isomorphism is isomorphic to group theory G ≈ H means that group G is isomorphic (structurally identical) to group H. (≅ can also be used for isomorphic, as described below.) Q / C ≈ V ~ ∼ (\ displaystyle \ sim) \ sim probability distribution has distribution statistics X ~ D, means the random variable X has the probability distribution D. X ~ N (0, 1), the standard normal distribution row equivalence is row equivalent to matrix theory A ~ B means that B can be generated by using a series of elementary row operations on A (1 2 2 4) ∼ (1 2 0 0) (\ displaystyle (\ begin (bmatrix) 1&2 \ \ 2&4 \ \ \ end (bmatrix)) \ sim (\ begin (bmatrix) 1&2 \ \ 0&0 \ \ \ end (bmatrix))) same order of magnitude roughly similar; poorly approximates; is on the order of approximation theory m ~ n means the quantities m and n have the same order of magnitude, or general size. (Note that ~ is used for an approximation that is poor, otherwise use ≈.) 2 ~ 5 8 × 9 ~ 100 but π ≈ 10 similarity is similar to geometry △ ABC ~ △ DEF means triangle ABC is similar to (has the same shape) triangle DEF. asymptotically equivalent is asymptotically equivalent to asymptotic analysis f ~ g means lim n → ∞ f (n) g (n) = 1 (\ displaystyle \ lim _ (n \ to \ infty) (\ frac (f (n)) (g (n))) = 1). x ~ x + 1 equivalence relation are in the same equivalence class everywhere a ~ b means b ∈ (a) (\ displaystyle b \ in (a)) (and equivalently a ∈ (b) (\ displaystyle a \ in (b))). 1 ~ 5 mod 4 =:: = ≡: ⇔ ≜ ≝ ≐ =: (\ displaystyle =:): = (\ displaystyle: =) ≡ (\ displaystyle \ equiv) \ equiv: ⇔ (\ displaystyle: \ Leftrightarrow): \ Leftrightarrow ≜ (\ displaystyle \ triangleq) \ triangleq = d e f (\ displaystyle (\ overset (\ underset (\ mathrm (def)) ()) (=))) \ overset (\ underset (\ mathrm (def)) ()) (=) ≐ (\ displaystyle \ doteq) \ doteq definition is defined as; is equal by definition to everywhere x: = y, y =: x or x ≡ y means x is defined to be another name for y, under certain assumptions taken in context. (Some writers use ≡ to mean congruence). P ⇔ Q means P is defined to be logically equivalent to Q. cosh ⁡ x: = e x + e − x 2 (\ displaystyle \ cosh x: = (\ frac (e ^ (x) + e ^ (- x)) (2))) (a, b): = a ⋅ b − b ⋅ a (\ displaystyle (a, b): = a \ cdot b-b \ cdot a) ≅ ≅ (\ displaystyle \ cong) \ cong congruence is congruent to geometry △ ABC ≅ △ DEF means triangle ABC is congruent to (has the same measurements as) triangle DEF. isomorphic is isomorphic to abstract algebra G ≅ H means that group G is isomorphic (structurally identical) to group H. (≈ can also be used for isomorphic, as described above.) V ≅ C × C ≡ ≡ (\ displaystyle \ equiv) \ equiv congruence relation... is congruent to... modulo... modular arithmetic a ≡ b (mod n) means a − b is divisible by n 5 ≡ 2 (mod 3) ⇔ ↔ ⇔ (\ displaystyle \ Leftrightarrow) \ Leftrightarrow ⟺ (\ displaystyle \ iff) \ iff ↔ (\ displaystyle \ leftrightarrow) \ leftrightarrow material equivalence if and only if; iff propositional logic A ⇔ B means A is true if B is true and A is false if B is false. x + 5 = y + 2 ⇔ x + 3 = y: = =:: = (\ displaystyle: =) =: (\ displaystyle =:) Assignment is defined to be everywhere A: = b means A is defined to have the value b. Let a: = 3, then... f (x): = x + 3
what is the symbol for approximately equal to
≈ ≈ ≈ ≈ ≈ ≈ ≈ ≈ ≈