Gradient

id: gradient-181-7992198
title: Gradient
text: In vector calculus, the gradient of a scalar-valued differentiable function f of several variables is the vector field ∇ f whose value at a point p gives the direction and the rate of fastest increase. The gradient transforms like a vector under change of basis of the space of variables of f. If the gradient of a function is non-zero at a point p, the direction of the gradient is the direction in which the function increases most quickly from p, and the magnitude of the gradient is the rate of i
brand slug: wiki
category slug: encyclopedia
description: Multivariate derivative (mathematics)
original url: https://en.wikipedia.org/wiki/Gradient
date created: 2001-08-17T21:10:16Z
date modified: 2024-09-05T20:12:07Z
main entity: {"identifier":"Q173582","url":"https://www.wikidata.org/entity/Q173582"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/0f/Gradient2.svg","width":512,"height":255}
fields total: 13
integrity: 16

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