gradient vs slope what difference

what is difference between gradient and slope

English

Etymology

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

Pronunciation

• IPA^(key): /ˈɡɹeɪdiənt/

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
• (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

Pronunciation

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 gradiēns.

Pronunciation

• IPA^(key): //ˈɡrad.jɛnt//

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

Romanian

Etymology

From French gradient.

Noun

gradient m (plural gradienți)

1. gradient

Declension

Swedish

Noun

gradient c

1. (mathematical analysis) gradient; a vector operator

Declension

Anagrams

• indraget, tragedin

English

Etymology

From aslope (adjective, adverb).

Pronunciation

• (General American) IPA^(key): /sloʊp/
• (Received Pronunciation) IPA^(key): /sləʊp/
• Rhymes: -əʊp

Noun

slope (countable and uncountable, plural slopes)

1. An area of ground that tends evenly upward or downward.

2. The degree to which a surface tends upward or downward.

3. (mathematics) The ratio of the vertical and horizontal distances between two points on a line; zero if the line is horizontal, undefined if it is vertical.

4. (mathematics) The slope of the line tangent to a curve at a given point.

5. The angle a roof surface makes with the horizontal, expressed as a ratio of the units of vertical rise to the units of horizontal length (sometimes referred to as run).

6. (vulgar, offensive, ethnic slur) A person of Chinese or other East Asian descent.

Synonyms

• (area of ground that tends evenly upward or downward): bank, embankment, gradient, hill, incline
• (degree to which a surface tends upward or downward): gradient
• (mathematics): first derivative, gradient
• (offensive: Chinese person): Chinaman, Chink

Translations

Verb

slope (third-person singular simple present slopes, present participle sloping, simple past and past participle sloped)

1. (intransitive) To tend steadily upward or downward.
2. (transitive) To form with a slope; to give an oblique or slanting direction to; to incline or slant.

3. (colloquial, usually followed by a preposition) To try to move surreptitiously.

4. (military) To hold a rifle at a slope with forearm perpendicular to the body in front holding the butt, the rifle resting on the shoulder.

Derived terms

• ski slope
• slippery slope
• Slope County
• sloping

Translations

Adjective

slope (comparative more slope, superlative most slope)

1. (obsolete) Sloping.
   • 1625, Francis Bacon, Of Gardens

     A bank not steep, but gently slope.

Adverb

slope (comparative more slope, superlative most slope)

1. (obsolete) slopingly

Anagrams

• LEPOs, Poles, S-pole, eslop, lopes, olpes, poles, spole

Dutch

Pronunciation

Verb

slope

1. (archaic) singular past subjunctive of sluipen
2. (archaic) singular present subjunctive of slopen

Anagrams

• sloep, spoel

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