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单词 IntegralSign
释义

integral sign


The integral sign

is a stylised version of the long s letter.

The long s is a typographic variant of lowercase s, being the only lowercase s in the Carolingian minuscule script.  Themodern short (round) s appeared later to the ends of words, and has now replaced completely the long s in the antiqua script.

Gottfried Wilhelm Leibniz introduced the integral sign as the first letter s of the Latin word summa (‘sum’).  The long shape of may be thought to symbolically depict the fact that http://planetmath.org/DefiniteIntegralintegral is a limiting case of sum.

A variant

of the integral sign is used in integrals taken along a closed curve in 2 or about a closed surface in 3; see e.g. Cauchy integral theorem, derivation of heat equation.

The function given after the integral sign, i.e. the function to be integrated, is the integrand.

Titleintegral sign
Canonical nameIntegralSign
Date of creation2013-03-22 18:04:00
Last modified on2013-03-22 18:04:00
Ownerpahio (2872)
Last modified bypahio (2872)
Numerical id7
Authorpahio (2872)
Entry typeDefinition
Classificationmsc 00A05
Classificationmsc 00A06
Related topicRiemannIntegral
Related topicRiemannStieltjesIntegral
Related topicIntegral2
Definesintegrand
Definesintegrate
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更新时间:2025/5/4 17:51:05