Camber vs. Gradient

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Cambernoun

A slight convexity, arching or curvature of a surface of a road, beam, roof, ship's deck etc., so that liquids will flow off the sides.

Cambernoun

The slope of a curved road created to minimize the effect of centrifugal force.

Cambernoun

(architecture) An upward concavity in the underside of a beam, girder, or lintel; also, a slight upward concavity in a straight arch.

Cambernoun

(automotive) The alignment on the roll axis of the wheels of a road vehicle, where positive camber signifies that the wheels are closer together at the bottom than the top.

Cambernoun

The curvature of an airfoil.

Cambernoun

(nautical) A small enclosed dock in which timber for masts (etc.) is kept to weather.

Camberverb

To curve upwards in the middle.

Camberverb

To adjust the camber of the wheels of a vehicle.

Cambernoun

An upward convexity of a deck or other surface; as, she has a high camber (said of a vessel having an unusual convexity of deck).

Cambernoun

An upward concavity in the under side of a beam, girder, or lintel; also, a slight upward concavity in a straight arch. See Hogback.

Camberverb

To cut bend to an upward curve; to construct, as a deck, with an upward curve.

Camberverb

To curve upward.

Cambernoun

a slight convexity (as of the surface of a road)

Cambernoun

a slope in the turn of a road or track; the outside is higher than the inside in order to reduce the effects of centrifugal force

Cambernoun

the alignment of the wheels of a motor vehicle closer together at the bottom than at the top

Camberverb

curve upward in the middle

Gradientnoun

A slope or incline.

Gradientnoun

A rate of inclination or declination of a slope.

Gradientnoun

(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.

Gradientnoun

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

Gradientnoun

(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

Gradientnoun

A gradual change in color. A color gradient; gradation.

Gradientadjective

Moving by steps; walking.

Gradientadjective

Rising or descending by regular degrees of inclination.

Gradientadjective

Adapted for walking, as the feet of certain birds.

Gradientadjective

Moving by steps; walking; as, gradient automata.

Gradientadjective

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

Gradientadjective

Adapted for walking, as the feet of certain birds.

Gradientnoun

The rate of regular or graded ascent or descent in a road; grade.

Gradientnoun

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

Gradientnoun

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

Gradientnoun

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.

Gradientnoun

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

Gradientnoun

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

Gradient

In vector calculus, the gradient of a scalar-valued differentiable function f of several variables is the vector field (or vector-valued function) ∇ f {\displaystyle \nabla f} whose value at a point p {\displaystyle p} is the vector whose components are the partial derivatives of f {\displaystyle f} at p {\displaystyle p} . That is, for f : R n → R {\displaystyle f\colon \mathbb {R} ^{n}\to \mathbb {R} } , its gradient ∇ f : R n → R n {\displaystyle \nabla f\colon \mathbb {R} ^{n}\to \mathbb {R} ^{n}} is defined at the point p = ( x 1 , … , x n ) {\displaystyle p=(x_{1},\ldots ,x_{n})} in n-dimensional space as the vector: ∇ f ( p ) = [ ∂ f ∂ x 1 ( p ) ⋮ ∂ f ∂ x n ( p ) ] .

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