# gradient vs slope what difference

## English

### Etymology

From Latin gradiēns, present participle of gradior (to step, to walk)

### Pronunciation

• IPA(key): /ˈɡɹeɪdiənt/

### Noun

1. A slope or incline.
2. A rate of inclination or declination of a slope.
3. (calculus, of a function) The ratio of the rates of change of a dependent variable and an independent variable, the slope of a curve’s tangent.
4. (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
5. (calculus) 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
6. A gradual change in color. A color gradient; gradation.

#### Synonyms

• (slope): hill, incline, ramp, slope
• (calculus, ratio of rates of change): slope (of a line), angular coefficient

#### Coordinate terms

• (calculus, differential operator): curl, divergence, viscid, viscous

#### Translations

1. Moving by steps; walking.
• 1648, John Wilkins, Mathematical Magick
movable and Gradient Automata
2. Rising or descending by regular degrees of inclination.
3. Adapted for walking, as the feet of certain birds.

### Anagrams

• atreding, derating, e-trading, gantried, red giant, redating, treading