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Line integral

In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear integral are also used; contour integral is used as well, although that is typically reserved for line integrals in the complex plane.

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Overview

Vector calculus

Flow across a curve

Complex line integral

Quantum mechanics

Advanced semantic analysis

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Map overview Semantic statistics

Line integral

Nodes76
Edges75
Triples40
Avg. degree1.97
Density0.026316
Components1

How this topic connects Entity context

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Line integral

Top relations

related to External links · 11
Line integral → EMS Press, Encyclopedia, Integral, Interactive, Introduction, Khan Academy, Line, Line Integral Example, Mathematics, Path, PlanetMath
related to Relation of complex line integral and line integral of vector field · 9
Line integral → By Cauchy's, Cauchy, Cauchy-Riemann, Correspondingly, Green's, In, Riemann, Specifically, Viewing
related to Complex line integral · 5
Line integral → Delta, In, Riemann, Suppose, The
related to Path independence · 4
Line integral → For, If, In, It
related to Vector calculus · 4
Line integral → For, In, The, This
has application · 3
Line integral → Ampère's, For, The
is a · 2
Line integral → integral where the function to be integrated is evaluated along a curve, sum of values of the field at all points on the curve
related to Flow across a curve · 2
Line integral → For, Here

Important terminology Word statistics

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Important terminology

integral line curve displaystyle vector field function path mathbf scalar integrals complex int parametrization sum theorem points defined cdot terms

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Line integralis aintegral where the function to be integrated is evaluated along a curve0.90text
Line integralis asum of values of the field at all points on the curve0.90text
Line integralhas applicationThe0.60section
Line integralhas applicationFor0.60section
Line integralhas applicationAmpère's0.60section
Line integralrelated to Complex line integralIn0.60section
Line integralrelated to Complex line integralSuppose0.60section
Line integralrelated to Complex line integralThe0.60section
Line integralrelated to Complex line integralDelta0.60section
Line integralrelated to Complex line integralRiemann0.60section
Line integralrelated to External linksIntegral0.60section
Line integralrelated to External linksEncyclopedia0.60section

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    Min side: 3
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