Related concepts and fundamentals: Agnosticism Epistemology Presupposition Probability v t e An approximation is anything that is similar but not exactly equal to something else. Contents 1 Etymology and usage 2 Mathematics 3 Science 4 Unicode 5 LaTeX Symbols 6 See also 7 References 8 External links Etymology and usage[edit]
The word approximation is derived from
≈ (U+2248, almost equal to)
≒ (U+2252), which is used like "≃" in both Japanese and Korean ≓ (U+2253), a reversed variation of "≒" ≅ (U+2245), another combination of "≈" and "=", which is used to indicate isomorphism or sometimes congruence ≊ (U+224A), yet another combination of "≈" and "=", used to indicate equivalence or approximate equivalence ∼ (U+223C), which is also sometimes used to indicate proportionality ∽ (U+223D), which is also sometimes used to indicate proportionality ≐ (U+2250, approaches the limit), which can be used to represent the approach of a variable, y, to a limit; like the common syntax, lim x → inf y ( x ) displaystyle scriptstyle lim _ xto inf y(x) ≐ 0[citation needed] LaTeX Symbols[edit] ≈ displaystyle approx (approx), usually to indicate approximation between numbers, like π ≈ 3.14 displaystyle pi approx 3.14 . ≃ displaystyle simeq (simeq), usually to indicate asymptotic equivalence between functions, like f ( n ) ≃ 3 n 2 displaystyle f(n)simeq 3n^ 2 . So writing π ≃ 3.14 displaystyle pi simeq 3.14 would be wrong, despite wide use. ∼ displaystyle sim (sim), usually to indicate proportionality between functions, the same f ( n ) displaystyle f(n) of the line above will be f ( n ) ∼ n 2 displaystyle f(n)sim n^ 2 . ≅ displaystyle cong (cong), usually to indicate congruence between figures, like Δ A B C ≅ Δ A ′ B ′ C ′ displaystyle Delta ABCcong Delta A'B'C' . See also[edit] Approximately equals sign
References[edit] ^ The Concise Oxford Dictionary, Eighth edition 1990, ISBN 0-19-861243-5 ^ Longman Dictionary of Contemporary English, Pearson Education Ltd 2009, ISBN 978 1 4082 1532 6 ^ Numerical Computation Guide ^ Encyclopædia Britannica ^ The three body problem ^ Mittal, Sparsh (May 2016). "A Survey of Techniques for Approximate Computing". ACM Comput. Surv. ACM. 48 (4): 62:1–62:33. doi:10.1145/2893356. ^ "Mathematical Operators – Unicode" (PDF). Retrieved 2013-04-20. External links[edit] Look up approximation in Wiktionary, the free dictionary. Authority control |

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