gradient

See also: Gradient

English

Etymology

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

Pronunciation

• Audio (US):

  (file)

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. (mathematical 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
6. A gradual change in color. A color gradient; gradation.

Synonyms

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

Derived terms

Derived terms

• gradient wind
• ruling gradient

• supergradient
• temperature gradient

Translations

slope or incline

• Bulgarian: наклон (bg) (naklon)
• 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
• Irish: grádán m
• Macedonian: на́клон m (náklon), стр́мнина f (stŕmnina)
• Maltese: pendil m, mejla f
• (deprecated template usage) {{trans-mid}}
• Maori: panaunga, tāwhatinga
• Norwegian:

  Bokmål: stigning m or f

  Nynorsk: stigning f

• 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
• Finnish: kaltevuus (fi)
• French: pente (fr)
• German: Steigung (de) f, Gefälle (de) n, Neigung (de) f
• Irish: grádán m
• Macedonian: на́клон m (náklon)
• Maltese: pendil m
• (deprecated template usage) {{trans-mid}}
• 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)
• (deprecated template usage) {{trans-mid}}
• Hungarian: hradiens
• 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
• (deprecated template usage) {{trans-mid}}
• 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
• (deprecated template usage) {{trans-mid}}
• German: Gradient (de) m
• Italian: gradiente (it) m
• Russian: градие́нт (ru) m (gradijént)
• Serbo-Croatian: gradijent (sh) m
• Swedish: gradient (sv) c

change in color

• Finnish: liukuväri
• French: dégradé (fr) m
• (deprecated template usage) {{trans-mid}}
• Swedish: färggradient c

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

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

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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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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