gradient

Definition from Wiktionary, a free dictionary

Contents 1 English 1.1 Etymology 1.2 Pronunciation 1.3 Noun 1.3.1 Synonyms 1.3.2 Derived terms 1.3.3 Translations 2 Swedish 2.1 Noun

[edit] English

[edit] Etymology

From Latin gradiens, present participle of gradior (“‘to step, to walk’”)

[edit] Pronunciation

•  Audio (US)^{help, file}

[edit] Noun

gradient (plural gradients)

Wikipedia

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.
4. (physics) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
5. (vector algebra) A vector operator that maps each value of a scalar field to a vector equal to the greatest rate of change of the scalar. Notation for a scalar field φ: φ

[edit] Synonyms

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

[edit] Derived terms

• temperature gradient

[edit] Translations

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[edit] Swedish

[edit] Noun

gradient c.

Inflection for gradient	Singular		Plural
common	Indefinite	Definite	Indefinite	Definite
Base form	gradient	gradienten	gradienter	gradienterna
Possessive form	gradients	gradientens	gradienters	gradienternas

1. (vector algebra) gradient; a vector operator