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A slope or incline.

alternative case form of Jacobian

A rate of inclination or declination of a slope.

Jacobiannoun

alternative case form of Jacobian

(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.

relating to the work of the mathematician K. G. J. Jacobi.

(science) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.

Jacobiannoun

a determinant whose constituents are the derivatives of a number of functions (u, v, w, …) with respect to each of the same number of variables (x, y, z, …).

(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

Moving by steps; walking.

Rising or descending by regular degrees of inclination.

Adapted for walking, as the feet of certain birds.

Moving by steps; walking; as, gradient automata.

Rising or descending by regular degrees of inclination; as, the gradient line of a railroad.

Adapted for walking, as the feet of certain birds.

A part of a road which slopes upward or downward; a portion of a way not level; a grade.

The rate of increase or decrease of a variable magnitude, or the curve which represents it; as, a thermometric gradient.

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.

a graded change in the magnitude of some physical quantity or dimension

the property possessed by a line or surface that departs from the horizontal;