gradient

gradient

See also: Gradient

English

Etymology

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

Pronunciation

• IPA^(key): /ˈɡɹeɪdiənt/

• Audio (US)

  (file)

• Rhymes: -eɪdiənt

Noun

gradient (plural gradients)

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, grade
• (calculus, ratio of rates of change): slope (of a line), angular coefficient

Coordinate terms

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

Derived terms

Derived terms

• gradient wind
• ruling gradient
• supergradient
• temperature gradient

Translations

slope or incline

Bulgarian: склон (bg) (sklon) Czech: sklon (cs) m, svah (cs) m Dutch: richtingscoëfficient m Finnish: rinne (fi), pengerrys French: pente (fr) f German: Steigung (de) f, Gefälle (de) n, Neigung (de) f Indonesian: tanjakan (id) Irish: grádán m Macedonian: на́клон m (náklon), стр́мнина f (stŕmnina) Maltese: pendil m, mejla f Maori: panaunga, tāwhatinga Norwegian: Bokmål: stigning m or f Nynorsk: stigning f Polish: zbocze (pl) n Scottish Gaelic: àrdachadh m Serbo-Croatian: nagib (sh) m Spanish: gradiente (es) f Swedish: lutning (sv) c

rate of inclination or declination of a slope

Bulgarian: наклон (bg) m (naklon) Catalan: gradient m Czech: sklon (cs) m Dutch: verhang (nl) Finnish: kaltevuus (fi) French: pente (fr) German: Steigung (de) f, Gefälle (de) n, Neigung (de) f Indonesian: gradien (id), kemiringan (id) Irish: grádán m Macedonian: на́клон m (náklon) Maltese: pendil m Norwegian: Bokmål: stigning m or f Nynorsk: stigning f Portuguese: gradiente (pt) m Scottish Gaelic: àrdachadh m Serbo-Croatian: gradijent (sh) m Spanish: gradiente (es) f Swedish: lutning (sv) c

in calculus

Armenian: գրադիենտ (hy) (gradient) Bulgarian: градиент m (gradient) Czech: sklon (cs) m Dutch: gradiënt (nl) m Finnish: gradientti (fi) French: gradient (fr) m German: Gradient (de) m Greek: εφαπτομένη (el) f (efaptoméni), συντελεστής διεύθυνσης m (syntelestís diéfthynsis) Hungarian: hradiens Indonesian: gradien (id) Irish: grádán m Italian: gradiente (it) m Portuguese: gradiente (pt) m Russian: градие́нт (ru) m (gradijént) Serbo-Croatian: gradijent (sh) m

in physics

Armenian: գրադիենտ (hy) (gradient) Bulgarian: градиент m (gradient) Catalan: gradient m Dutch: gradiënt (nl) m Finnish: gradientti (fi) French: gradient (fr) m German: Gradient (de) m Italian: gradiente (it) m Portuguese: gradiente (pt) m Russian: градие́нт (ru) m (gradijént) Serbo-Croatian: gradijent (sh) m Spanish: gradiente (es) m

in vector algebra

Armenian: գրադիենտ (hy) (gradient) Bulgarian: градиент m (gradient) Dutch: gradiënt (nl) m Finnish: gradientti (fi) French: gradient (fr) m German: Gradient (de) m Italian: gradiente (it) m Polish: gradient (pl) m Russian: градие́нт (ru) m (gradijént) Serbo-Croatian: gradijent (sh) m Swedish: gradient (sv) c

change in color

Finnish: liukuväri French: dégradé (fr) m Indonesian: gradasi (id) Polish: gradient (pl) m Portuguese: gradiente (pt) m, degradê (pt) m Swedish: färggradient c

Adjective

gradient (not comparable)

1. Moving by steps; walking.
   • 1648, John Wilkins, Mathematical Magick

     movable and Gradient Automata

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

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

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French

Pronunciation

• Audio

  (file)

Noun

gradient m (plural gradients)

1. gradient

Further reading

• “gradient”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

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Norwegian Bokmål

Etymology

From English gradient, from Latin gradiens.

Noun

gradient m (definite singular gradienten, indefinite plural gradienter, definite plural gradientene)

1. a gradient

References

• “gradient” in The Bokmål Dictionary.
• “gradient” in Det Norske Akademis ordbok (NAOB).

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Norwegian Nynorsk

Etymology

From English gradient, from Latin gradiens.

Noun

gradient m (definite singular gradienten, indefinite plural gradientar, definite plural gradientane)

1. a gradient

References

• “gradient” in The Nynorsk Dictionary.

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Polish

Etymology

Borrowed from English gradient, from Latin gradiēns.

Pronunciation

• IPA^(key): /ˈɡra.djɛnt/

• Audio

  (file)

• Rhymes: -adjɛnt
• Syllabification: gra‧dient

Noun

gradient m inan

1. (mathematical analysis) gradient (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)
2. gradient (change in color)

Declension

Declension of gradient

	singular	plural
nominative	gradient	gradienty
genitive	gradientu	gradientów
dative	gradientowi	gradientom
accusative	gradient	gradienty
instrumental	gradientem	gradientami
locative	gradiencie	gradientach
vocative	gradiencie	gradienty

Derived terms

adjective

• gradientowy

 

noun phrase

• gradient geotermiczny

 

Further reading

• gradient in Wielki słownik języka polskiego, Instytut Języka Polskiego PAN
• gradient in Polish dictionaries at PWN

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Romanian

Etymology

From French gradient.

Noun

gradient m (plural gradienți)

1. gradient

Declension

Declension of gradient

	singular		plural
	indefinite articulation	definite articulation	indefinite articulation	definite articulation
nominative/accusative	(un) gradient	gradientul	(niște) gradienți	gradienții
genitive/dative	(unui) gradient	gradientului	(unor) gradienți	gradienților
vocative	gradientule		gradienților

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Swedish

Noun

gradient c

1. (mathematical analysis) gradient; a vector operator

Declension

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

Anagrams

• indraget, tragedin