gradient
/ˈɡɹeɪdiənt/ noun, adjective
Forms gradients
- noun A slope or incline.
- noun A rate of inclination or declination of a slope.
- noun (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.
- noun (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
- noun (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
- noun A gradual change in color; a color gradient; gradation.
- adjective Moving by steps; walking.
- adjective Rising or descending by regular degrees of inclination. “the gradient line of a railroad”
- adjective Adapted for walking, as the feet of certain birds.
- adjective (calculus, optimization) Using the gradient to solve a problem.
Synonyms
Etymology
From Latin gradiēns, present participle of gradior (“to step, to walk”).
Webster’s 1913
- adjective Moving by steps; walking; as, gradient automata. Wilkins.
- adjective Rising or descending by regular degrees of inclination; as, the gradient line of a railroad.
- noun The rate of regular or graded ascent or descent in a road; grade.
- noun A part of a road which slopes upward or downward; a portion of a way not level; a grade.
Etymology [L. gradiens, p. pr. of gradi to step, to go. See Grade.]
Sources: Wiktionary · Webster’s 1913 — from the Wiktionary entry “gradient”, CC BY-SA 4.0. Details