# gradient

## gra·di·ent

*noun*\ˈgrā-dē-ənt\

: a place where the ground slopes up or down

## Full Definition of *GRADIENT*

*a*

**:**the rate of regular or graded ascent or descent

**:**inclination

*b*

**:**a part sloping upward or downward

**:**change in the value of a quantity (as temperature, pressure, or concentration) with change in a given variable and especially per unit distance in a specified direction

**:**the vector sum of the partial derivatives with respect to the three coordinate variables

*x, y,*and

*z*of a scalar quantity whose value varies from point to point

**:**a graded difference in physiological activity along an axis (as of the body or an embryonic field)

**:**change in response with distance from the stimulus

## Examples of *GRADIENT*

- <the path goes up at a pretty steep
*gradient*before leveling off>

## Origin of *GRADIENT*

*gradient-, gradiens,*present participle of

*gradi*

## Related to *GRADIENT*

## Other Physics Terms

## Rhymes with *GRADIENT*

## gra·di·ent

*noun*\ˈgrād-ē-ənt\

*(Medical Dictionary)*

## Medical Definition of *GRADIENT *

**:**change in the value of a quantity (as temperature, pressure, or concentration) with change in a given variable and especially per unit on a linear scale

**:**a graded difference in physiological activity along an axis (as of the body or an embryonic field)

**:**change in response with distance from the stimulus

## gradient

*noun*

*(Concise Encyclopedia)*

In mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is . Thus, the gradient of a function *f*, written grad *f*, or *f*, is *f* = *i**f* + *j**f* + *k**f* where *f*, *f*, and *f* are the first partial derivatives of *f* and the vectors *i*, *j*, and *k* are the unit vectors of the vector space. If in physics, for example, *f* is a temperature field (giving the temperature at every point in a space), *f* is the direction of the heat-flow vector in the field.

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