different between gradient vs nabla

English

Etymology

From Latin gradi?ns, present participle of gradior (“to step, to walk”)

Pronunciation

• IPA^(key): /???e?di?nt/

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 ?: ??
6. A gradual change in color. A color gradient; gradation.

Synonyms

• (slope): hill, incline, ramp, slope
• (calculus, ratio of rates of change): slope (of a line), angular coefficient

Coordinate terms

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

Derived terms

Translations

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.

3. Adapted for walking, as the feet of certain birds.

Anagrams

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

French

Noun

gradient m (plural gradients)

1. gradient

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).

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.

Polish

Etymology

From English gradient, from Latin gradi?ns.

Pronunciation

• IPA^(key): /??rad.j?nt/

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

Derived terms

• (noun phrase) gradient geotermiczny
• (adjective) gradientowy

Further reading

• gradient in Wielki s?ownik j?zyka polskiego, Instytut J?zyka Polskiego PAN
• gradient in Polish dictionaries at PWN

Romanian

Etymology

From French gradient.

Noun

gradient m (plural gradien?i)

1. gradient

Declension

Swedish

Noun

gradient c

1. (mathematical analysis) gradient; a vector operator

Declension

Anagrams

• indraget, tragedin

English

Etymology

Hebrew ???????

Noun

nabla (plural nablas)

1. A Hebrew stringed instrument.
2. (mathematical analysis) The symbol ?, used to denote the gradient operator.

Synonyms

• (instrument): nebel (obsolete, possibly the same instrument)
• (symbol): atled, del

Translations

Further reading

• Nabla symbol on Wikipedia.Wikipedia
• Nevel (instrument) on Wikipedia.Wikipedia

Anagrams

• Alban, Balan, Laban, Nabal, alban, banal, laban, labna, nabal

Dutch

Pronunciation

• Hyphenation: na?bla

Noun

nabla c (plural nabla's)

1. (mathematical analysis) nabla, ?

Finnish

Noun

nabla

1. nabla (symbol and instrument)

Declension

Derived terms

• nablata

Anagrams

• alban

Italian

Etymology

Borrowed from English nabla, from Ancient Greek ????? (nábla).

Pronunciation

• IPA^(key): /?na.bla/
• Rhymes: -abla
• Hyphenation: nà?bla

Noun

nabla m (invariable)

1. (mathematical analysis) nabla (the symbol ?)

Latin

Pronunciation

• (Classical) IPA^(key): /?na.bla/, [?näb??ä]
• (Ecclesiastical) IPA^(key): /?na.bla/, [?n??bl?]

Etymology 1

From Ancient Greek ????? (nábla).

Noun

nabla f (genitive nablae); first declension

1. A kind of lyre.

Declension

First-declension noun.

Descendants

• English: nabla

Etymology 2

See the etymology of the main entry.

Noun

nabla

1. nominative plural of nablum
2. accusative plural of nablum
3. vocative plural of nablum

References

• nabla in Harry Thurston Peck, editor (1898) Harper's Dictionary of Classical Antiquities, New York: Harper & Brothers
• nabla in William Smith et al., editor (1890) A Dictionary of Greek and Roman Antiquities, London: William Wayte. G. E. Marindin