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Integral and Vector field

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Integral and Vector field

Integral vs. Vector field

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.

Similarities between Integral and Vector field

Integral and Vector field have 19 things in common (in Unionpedia): Calculus, Curl (mathematics), Derivative, Differential form, Divergence theorem, Exterior derivative, Force, Fundamental theorem of calculus, Gradient, Gravitational field, Line integral, Linear form, Real line, Real number, Riemann integral, Scalar field, Stokes' theorem, Velocity, Work (physics).

Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

Calculus and Integral · Calculus and Vector field · See more »

Curl (mathematics)

In vector calculus, the curl is a vector operator that describes the infinitesimal rotation of a vector field in three-dimensional Euclidean space.

Curl (mathematics) and Integral · Curl (mathematics) and Vector field · See more »

Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

Derivative and Integral · Derivative and Vector field · See more »

Differential form

In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.

Differential form and Integral · Differential form and Vector field · See more »

Divergence theorem

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.

Divergence theorem and Integral · Divergence theorem and Vector field · See more »

Exterior derivative

On a differentiable manifold, the exterior derivative extends the concept of the differential of a function to differential forms of higher degree.

Exterior derivative and Integral · Exterior derivative and Vector field · See more »

Force

In physics, a force is any interaction that, when unopposed, will change the motion of an object.

Force and Integral · Force and Vector field · See more »

Fundamental theorem of calculus

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function with the concept of integrating a function.

Fundamental theorem of calculus and Integral · Fundamental theorem of calculus and Vector field · See more »

Gradient

In mathematics, the gradient is a multi-variable generalization of the derivative.

Gradient and Integral · Gradient and Vector field · See more »

Gravitational field

In physics, a gravitational field is a model used to explain the influence that a massive body extends into the space around itself, producing a force on another massive body.

Gravitational field and Integral · Gravitational field and Vector field · See more »

Line integral

In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve.

Integral and Line integral · Line integral and Vector field · See more »

Linear form

In linear algebra, a linear functional or linear form (also called a one-form or covector) is a linear map from a vector space to its field of scalars.

Integral and Linear form · Linear form and Vector field · See more »

Real line

In mathematics, the real line, or real number line is the line whose points are the real numbers.

Integral and Real line · Real line and Vector field · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Integral and Real number · Real number and Vector field · See more »

Riemann integral

In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval.

Integral and Riemann integral · Riemann integral and Vector field · See more »

Scalar field

In mathematics and physics, a scalar field associates a scalar value to every point in a space – possibly physical space.

Integral and Scalar field · Scalar field and Vector field · See more »

Stokes' theorem

In vector calculus, and more generally differential geometry, Stokes' theorem (also called the generalized Stokes theorem or the Stokes–Cartan theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.

Integral and Stokes' theorem · Stokes' theorem and Vector field · See more »

Velocity

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

Integral and Velocity · Vector field and Velocity · See more »

Work (physics)

In physics, a force is said to do work if, when acting, there is a displacement of the point of application in the direction of the force.

Integral and Work (physics) · Vector field and Work (physics) · See more »

The list above answers the following questions

Integral and Vector field Comparison

Integral has 226 relations, while Vector field has 92. As they have in common 19, the Jaccard index is 5.97% = 19 / (226 + 92).

References

This article shows the relationship between Integral and Vector field. To access each article from which the information was extracted, please visit:

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