# Gradient

#### Pronunciation

#### Origin

From *Latin* __gradiens__, present participle of __gradior__ ("to step, to walk")

## Full definition of gradient

#### Noun

#### gradient

(*plural*)

**gradients**- A slope or incline.
- A rate of inclination or declination of a slope.
- (
*calculus*) 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*. - (
*physics*) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance. - (
*analysis*) A differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar. Notation for a scalar field Ï†: ∇φ

#### Derived terms

#### Adjective

#### gradient

- 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.