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Webster 1913 Edition


Gradient

Gra′di-ent

,
Adj.
[L.
gradiens
,
p. pr.
of
gradi
to step, to go. See
Grade
.]
1.
Moving by steps; walking;
as,
gradient
automata
.
Wilkins.
2.
Rising or descending by regular degrees of inclination;
as, the
gradient
line of a railroad
.
3.
Adapted for walking, as the feet of certain birds.

Gra′di-ent

,
Noun.
1.
The rate of regular or graded ascent or descent in a road; grade.
2.
A part of a road which slopes upward or downward; a portion of a way not level; a grade.

Webster 1828 Edition


Gradient

GRA'DIENT

,
Adj.
[L. gradiens, gradior.] Moving by steps; walking; as gradient automata.

Definition 2024


Gradient

Gradient

See also: gradient

German

Noun

Gradient m (genitive Gradienten, plural Gradienten)

  1. (mathematics) gradient

Declension

gradient

gradient

See also: Gradient

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

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


Swedish

Noun

gradient c

  1. (analysis) gradient; a vector operator

Declension

Inflection of gradient 
Singular Plural
Indefinite Definite Indefinite Definite
Nominative gradient gradienten gradienter gradienterna
Genitive gradients gradientens gradienters gradienternas