What does line integral mean?
Definitions for line integral
line in·te·gral
This dictionary definitions page includes all the possible meanings, example usage and translations of the word line integral.
Wiktionary
line integralnoun
An integral the domain of whose integrand is a curve.
Wikipedia
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. The function to be integrated may be a scalar field or a vector field. The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve (commonly arc length or, for a vector field, the scalar product of the vector field with a differential vector in the curve). This weighting distinguishes the line integral from simpler integrals defined on intervals. Many simple formulae in physics, such as the definition of work as W = F ⋅ s {\displaystyle W=\mathbf {F} \cdot \mathbf {s} } , have natural continuous analogues in terms of line integrals, in this case W = ∫ L F ( s ) ⋅ d s {\displaystyle \textstyle W=\int _{L}\mathbf {F} (\mathbf {s} )\cdot d\mathbf {s} } , which computes the work done on an object moving through an electric or gravitational field F along a path L {\displaystyle L} .
Wikidata
Line integral
In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The function to be integrated may be a scalar field or a vector field. The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve. This weighting distinguishes the line integral from simpler integrals defined on intervals. Many simple formulae in physics have natural continuous analogs in terms of line integrals. The line integral finds the work done on an object moving through an electric or gravitational field, for example.
Numerology
Chaldean Numerology
The numerical value of line integral in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of line integral in Pythagorean Numerology is: 9
Translations for line integral
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"line integral." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/line+integral>.
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