Gradient In simple terms, the variation in space of any quantity can be represented (eg graphically) by a slope. The gradient represents the steepness. - презентация

1 Gradient

2 In simple terms, the variation in space of any quantity can be represented (eg graphically) by a slope. The gradient represents the steepness and direction of that slope.

3 In vector calculus, the gradient of a scalar field is a vector field that points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is that rate of increase.

4 A generalization of the gradient for functions on a Euclidean space that have values in another Euclidean space is the Jacobian. A further generalization for a function from one Banach space to another is the Fréchet derivative.

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