# Gradient vs. Slope

## Difference Between Gradient and Slope

#### Gradientnoun

A slope or incline.

#### Slopenoun

An area of ground that tends evenly upward or downward.

*I had to climb a small slope to get to the site.*

#### Gradientnoun

A rate of inclination or declination of a slope.

#### Slopenoun

The degree to which a surface tends upward or downward.

*The road has a very sharp downward slope at that point.*

#### Gradientnoun

(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

equivalently, the inclination to the X axis of the tangent to the curve of the graph.

#### Slopenoun

(mathematics) The ratio of the vertical and horizontal distances between two points on a line; zero if the line is horizontal, undefined if it is vertical.

*The slope of this line is 0.5*

#### Gradientnoun

(science) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.

#### Slopenoun

(mathematics) The slope of the line tangent to a curve at a given point.

*The slope of a parabola increases linearly with x.*

#### Gradientnoun

(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 φ: ∇φ

#### Slopenoun

The angle a roof surface makes with the horizontal, expressed as a ratio of the units of vertical rise to the units of horizontal length (sometimes referred to as run).

*The slope of an asphalt shingle roof system should be 4:12 or greater.*

#### Gradientnoun

A gradual change in color. A color gradient; gradation.

#### Slopenoun

A person of Chinese or other East Asian descent.

#### Gradientadjective

Moving by steps; walking.

*gradient automata*

#### Slopeverb

(intransitive) To tend steadily upward or downward.

*The road slopes sharply down at that point.*

#### Gradientadjective

Rising or descending by regular degrees of inclination.

*the gradient line of a railroad*

#### Slopeverb

(transitive) To form with a slope; to give an oblique or slanting direction to; to incline or slant.

*to slope the ground in a garden;*

*to slope a piece of cloth in cutting a garment*

#### Gradientadjective

Adapted for walking, as the feet of certain birds.

#### Slopeverb

To try to move surreptitiously.

*I sloped in through the back door, hoping my boss wouldn't see me.*

#### Gradientnoun

a graded change in the magnitude of some physical quantity or dimension

#### Slopeverb

(military) To hold a rifle at a slope with forearm perpendicular to the body in front holding the butt, the rifle resting on the shoulder.

*The order was given to "slope arms".*

#### Gradientnoun

the property possessed by a line or surface that departs from the horizontal;

*a five-degree gradient*

#### Slopeadjective

(obsolete) Sloping.

#### Slopeadverb

(obsolete) slopingly

#### Slopenoun

an elevated geological formation;

*he climbed the steep slope*

*the house was built on the side of the mountain*

#### Slopenoun

the property possessed by a line or surface that departs from the horizontal;

*a five-degree gradient*

#### Slopeverb

be at an angle;

*The terrain sloped down*