German

Noun

Gradient m ‎(genitive Gradienten, plural Gradienten)

1. (mathematics) gradient

Declension

English

Noun

gradient ‎(plural gradients)

1. A slope or incline.
2. A rate of inclination or declination of a slope.
3. (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.
4. (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
5. (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

Synonyms

• (slope): hill, incline, ramp, slope
• (in calculus): slope (of a line)

Derived terms

Translations

Adjective

gradient ‎(not comparable)

1. Moving by steps; walking.

   gradient automata

   (Can we find and add a quotation of Wilkins to this entry?)

2. Rising or descending by regular degrees of inclination.

   the gradient line of a railroad

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

Anagrams

• derating
• redating
• red giant
• treading

Swedish

Noun

gradient c

1. (analysis) gradient; a vector operator

Declension