## Definitions

### from The American Heritage® Dictionary of the English Language, 4th Edition

• n. A rate of inclination; a slope.
• n. An ascending or descending part; an incline.
• n. Physics The rate at which a physical quantity, such as temperature or pressure, increases or decreases relative to change in a given variable, especially distance.
• n. Mathematics A vector having coordinate components that are the partial derivatives of a function with respect to its variables.
• n. Biology A series of progressively increasing or decreasing differences in the growth rate, metabolism, or physiological activity of a cell, organ, or organism.

• n. A slope or incline.
• n. A rate of inclination or declination of a slope.
• n. 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.
• n. The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
• n. 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: φ

### from the GNU version of the Collaborative International Dictionary of English

• adj. Moving by steps; walking.
• adj. Rising or descending by regular degrees of inclination.
• n. A part of a road which slopes upward or downward; a portion of a way not level; a grade.
• n. The rate of increase or decrease of a variable magnitude, or the curve which represents it.
• n. The variation of the concentration of a chemical substance in solution through some linear path; also called concentration gradient; -- usually measured in concentration units per unit distance. Concentration gradients are created naturally, e.g. by the diffusion of a substance from a point of high concentration toward regions of lower concentration within a body of liquid; in laboratory techniques they may be made artificially.

### from The Century Dictionary and Cyclopedia

• Moving by steps; walking; gressorial: ambulatory: opposed to saltatory: said either of animals or of their gait: in heraldry, said of a tortoise used as a bearing and represented in fesse.
• In herpetology, walking or running on legs; specifically, of or pertaining to the Gradientia: correlated with salient and serpent.
• Rising or descending by regular degrees of inclination: as, the gradient line of a railroad.
• n. Same as grade, 2.
• n. In physics, the rate at which a variable quantity, as temperature or pressure, changes in value: as, thermometric gradient; barometric gradient.
• n. In mathematics, a rational integral homogeneous and isobaric function.
• n. In geometry, slope.

• n. the property possessed by a line or surface that departs from the horizontal
• n. a graded change in the magnitude of some physical quantity or dimension

## Etymologies

Perhaps grade + -ient, as in quotient.
(American Heritage® Dictionary of the English Language, Fourth Edition)
From Latin gradiens, present participle of gradior ("to step, to walk") (Wiktionary)

## Examples

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