## GRADIENT

### Gradient

In mathematics, the**gradient**is a generalization of the usual concept of derivative to the functions of several variables. If is a differentiable function of several variables, also called "scalar field", its

**gradient**is the vector of the

*n*partial derivatives of

*f*. It is thus a vector-valued function also called vector field.

*The above text is a snippet from Wikipedia: Gradient*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.

### gradient

#### Noun

- A slope or incline.
- A rate of inclination or declination of a slope.
- Of a function
*y*=*f*(*x*) or the graph of such a function, the rate of change of*y*with respect to*x*, that is, the amount by which*y*changes for a certain (often unit) change in*x*. - The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
- A vector operator that maps each value of a scalar field to a vector equal to the greatest rate of change of the scalar. Notation for a scalar field φ: <math>\nabla</math>φ

#### Adjective

- Moving by steps; walking.
*gradient**automata*

- Rising or descending by regular degrees of inclination.
*the***gradient**line of a railroad

- Adapted for walking, as the feet of certain birds.

*The above text is a snippet from Wiktionary: gradient*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.