物理学/数学中常用的“等号”
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= = =:相等(equality)
(拓?fù)?#xff09;同構(gòu)(isomorphic) -
~ \sim ~:漸近等于( asymptotically equal)
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≈ \approx ≈:
(數(shù)學(xué))約等于(別的形式: ~ = \sim= ~=, ≒ \fallingdotseq ≒)(Almost equal to);
(拓?fù)?#xff09;同胚(Homeomorphic to) -
? \cong ?:
(數(shù)學(xué))大約等于(Approximately equal to);
(幾何)一致,全等(Congruent to);
(代數(shù)、范疇論、邏輯)同構(gòu)到(Isomorphic to) -
∽ \backsim ∽:(幾何)相似符號(hào)(similar)
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≡ \equiv ≡:(數(shù)學(xué))相當(dāng)于(is equivalent to);
(數(shù)學(xué))等于(identically equal to),函數(shù) f f f和 g g g滿足 f ≡ g f\equiv g f≡g,當(dāng)且僅當(dāng)它們各自的定義域重合,且對(duì)于這個(gè)定義域中的所有 x x x, f ( x ) = g ( x ) f(x)=g(x) f(x)=g(x);
(數(shù)學(xué))被定義為,被設(shè)置為(is defined as, is set to);
(數(shù)論)一致(is congruent to);用于模的計(jì)算(used in calculations of modulo),如 15 ≡ 3 m o d 4 15\equiv 3 mod 4 15≡3mod4,因?yàn)?5和3除以4余數(shù)都是3;
(邏輯,日期(dated))(邏輯,日期)當(dāng)且僅當(dāng)(if and only if);
(邏輯)初等等價(jià)(elementary equivalence) -
∝ \propto ∝:正比例符號(hào)(is proportional to)
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? \ncong ?:
(數(shù)學(xué))既不近似也不等于(Neither approximately nor actually equal to);
(幾何學(xué))不一致的(Not congruent to);
(數(shù)學(xué))不同構(gòu)的(Not isomorphic to) -
? \simeq ?:
漸近等于(Asymptotically equal to);
大約等于(Approximately equal to);
同倫等價(jià)(homotopy equivalence) -
≠ ~ \tilde{\neq} =~?:大約但不等于(Approximately but not actually equal to)
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≠ \neq =:不等于
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? \cancel{\simeq} ? ?:不漸近等于(Not asymptotically equal to)
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= d e f \overset{\mathbf{def}}{=} =def:根據(jù)定義等于(Equal to by definition)
- 參考文獻(xiàn):
Category:Mathematical notation symbols
Category:Mathematical Operators block
Difference between “≈”, “?”, and “?”
What is the difference between ≈ and ??
What is the difference between ? and ≡?
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