Similarities between Gradient and Vector field
Gradient and Vector field have 18 things in common (in Unionpedia): Conservative vector field, Curl (mathematics), Del, Derivative, Differentiable function, Differential form, Divergence, Euclidean space, Euclidean vector, Exterior derivative, Line integral, Magnitude (mathematics), Open set, Parametric equation, Riemannian manifold, Scalar field, Tangent space, Vector-valued function.
Conservative vector field
In vector calculus, a conservative vector field is a vector field that is the gradient of some function, known in this context as a scalar potential.
Conservative vector field and Gradient · Conservative vector field and Vector field ·
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 Gradient · Curl (mathematics) and Vector field ·
Del
Del, or nabla, is an operator used in mathematics, in particular in vector calculus, as a vector differential operator, usually represented by the nabla symbol ∇.
Del and Gradient · Del and Vector field ·
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 Gradient · Derivative and Vector field ·
Differentiable function
In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.
Differentiable function and Gradient · Differentiable function and Vector field ·
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 Gradient · Differential form and Vector field ·
Divergence
In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point.
Divergence and Gradient · Divergence and Vector field ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Euclidean space and Gradient · Euclidean space and Vector field ·
Euclidean vector
In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.
Euclidean vector and Gradient · Euclidean vector and Vector field ·
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 Gradient · Exterior derivative and Vector field ·
Line integral
In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve.
Gradient and Line integral · Line integral and Vector field ·
Magnitude (mathematics)
In mathematics, magnitude is the size of a mathematical object, a property which determines whether the object is larger or smaller than other objects of the same kind.
Gradient and Magnitude (mathematics) · Magnitude (mathematics) and Vector field ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
Gradient and Open set · Open set and Vector field ·
Parametric equation
In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.
Gradient and Parametric equation · Parametric equation and Vector field ·
Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
Gradient and Riemannian manifold · Riemannian manifold and Vector field ·
Scalar field
In mathematics and physics, a scalar field associates a scalar value to every point in a space – possibly physical space.
Gradient and Scalar field · Scalar field and Vector field ·
Tangent space
In mathematics, the tangent space of a manifold facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector that gives the displacement of the one point from the other.
Gradient and Tangent space · Tangent space and Vector field ·
Vector-valued function
A vector-valued function, also referred to as a vector function, is a mathematical function of one or more variables whose range is a set of multidimensional vectors or infinite-dimensional vectors.
Gradient and Vector-valued function · Vector field and Vector-valued function ·
The list above answers the following questions
- What Gradient and Vector field have in common
- What are the similarities between Gradient and Vector field
Gradient and Vector field Comparison
Gradient has 72 relations, while Vector field has 92. As they have in common 18, the Jaccard index is 10.98% = 18 / (72 + 92).
References
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