gradient

English

Etymology

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

Pronunciation

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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: $\nabla$φ

Synonyms

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

Derived terms

• gradient wind
• supergradient
• temperature gradient

Translations

slope or incline

• Czech: sklon (cs) m, svah (cs) m
• Dutch: richtingscoëfficient (nl) m
• Finnish: kaltevuus (fi)
• French: pente (fr) f
• Irish: grádán (ga) m

• Macedonian: наклон (mk) (náklon) m, стрмнина (mk) (st'rmnina) f
• Scottish Gaelic: àrdachadh (gd) m
• Serbo-Croatian: nagib (sh) m
• Swedish: lutning (sv) c

rate of inclination or declination of a slope

• Czech: sklon (cs) m
• Finnish: kaltevuus (fi)
• French: pente (fr)
• Irish: grádán (ga) m
• Macedonian: наклон (mk) (náklon) m

• Portuguese: gradiente (pt) m
• Scottish Gaelic: àrdachadh (gd) m
• Serbo-Croatian: gradijent (sh) m
• Swedish: lutning (sv) c

in calculus

• Czech: sklon (cs) m
• Dutch: gradiënt (nl) m
• Finnish: gradientti (fi)
• French: gradient (fr) m
• Greek: εφαπτομένη (el) (efaptoméni) f, συντελεστής διεύθυνσης (el) (syntelestís diéfthynsis) m

• Hungarian: hradiens (hu)
• Irish: grádán (ga) m
• Italian: gradiente (it) m
• Portuguese: gradiente (pt) m
• Serbo-Croatian: gradijent (sh) m

in physics

• Dutch: gradiënt (nl) m
• Finnish: gradientti (fi)
• Italian: gradiente (it) m

• Portuguese: gradiente (pt) m
• Russian: градиент (ru) (gradijent) m
• Serbo-Croatian: gradijent (sh) m

in vector algebra

• Dutch: gradiënt (nl) m
• Finnish: gradientti (fi)
• French: gradient (fr) m

• Italian: gradiente (it) m
• Russian: градиент (ru) (gradijent) m
• Serbo-Croatian: gradijent (sh) m
• Swedish: gradient (sv) c

Anagrams

• derating
• redating
• red giant
• treading

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Swedish

Noun

gradient c

1. (vector algebra) gradient; a vector operator

Declension

Declension of gradient

	singular		plural
Common	indefinite	definite	indefinite	definite
nominative	gradient	gradienten	gradienter	gradienterna
genitive	gradients	gradientens	gradienters	gradienternas