Similarities between Gradient and Partial derivative
Gradient and Partial derivative have 20 things in common (in Unionpedia): Chain rule, Conservative vector field, Curl (mathematics), Del, Derivative, Directional derivative, Divergence, Euclidean space, Exterior derivative, Graph of a function, Hessian matrix, Jacobian matrix and determinant, Mathematics, Open set, Scalar field, Slope, Tangent, Total derivative, Unit vector, Vector field.
Chain rule
In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions.
Chain rule and Gradient · Chain rule and Partial derivative ·
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 Partial derivative ·
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 Partial derivative ·
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 Partial derivative ·
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 Partial derivative ·
Directional derivative
In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function, moving through x with a velocity specified by v. It therefore generalizes the notion of a partial derivative, in which the rate of change is taken along one of the curvilinear coordinate curves, all other coordinates being constant.
Directional derivative and Gradient · Directional derivative and Partial derivative ·
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 Partial derivative ·
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 Partial derivative ·
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 Partial derivative ·
Graph of a function
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
Gradient and Graph of a function · Graph of a function and Partial derivative ·
Hessian matrix
In mathematics, the Hessian matrix or Hessian is a square matrix of second-order partial derivatives of a scalar-valued function, or scalar field.
Gradient and Hessian matrix · Hessian matrix and Partial derivative ·
Jacobian matrix and determinant
In vector calculus, the Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function.
Gradient and Jacobian matrix and determinant · Jacobian matrix and determinant and Partial derivative ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Gradient and Mathematics · Mathematics and Partial derivative ·
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 Partial derivative ·
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 · Partial derivative and Scalar field ·
Slope
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Gradient and Slope · Partial derivative and Slope ·
Tangent
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.
Gradient and Tangent · Partial derivative and Tangent ·
Total derivative
In the mathematical field of differential calculus, a total derivative or full derivative of a function f of several variables, e.g., t, x, y, etc., with respect to an exogenous argument, e.g., t, is the limiting ratio of the change in the function's value to the change in the exogenous argument's value (for arbitrarily small changes), taking into account the exogenous argument's direct effect as well as indirect effects via the other arguments of the function.
Gradient and Total derivative · Partial derivative and Total derivative ·
Unit vector
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.
Gradient and Unit vector · Partial derivative and Unit vector ·
Vector field
In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.
Gradient and Vector field · Partial derivative and Vector field ·
The list above answers the following questions
- What Gradient and Partial derivative have in common
- What are the similarities between Gradient and Partial derivative
Gradient and Partial derivative Comparison
Gradient has 72 relations, while Partial derivative has 62. As they have in common 20, the Jaccard index is 14.93% = 20 / (72 + 62).
References
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