Inclination vs. Gradient
Inclinationnoun
A physical tilt or bend.
Inclinationnoun
A slant or slope.
Inclinationnoun
A mental tendency.
Inclinationnoun
(geometry) The angle of intersection of a reference plane
Inclinationnoun
(obsolete) A person or thing loved or admired.
Inclinationnoun
The act of inclining, or state of being inclined; a leaning; as, an inclination of the head.
Inclinationnoun
A direction or tendency from the true vertical or horizontal direction; as, the inclination of a column, or of a road bed.
Inclinationnoun
A tendency towards another body or point.
Inclinationnoun
The angle made by two lines or planes; as, the inclination of the plane of the earth's equator to the plane of the ecliptic is about 23° 28´; the inclination of two rays of light.
Inclinationnoun
A leaning or tendency of the mind, feelings, preferences, or will; propensity; a disposition more favorable to one thing than to another; favor; desire; love.
Inclinationnoun
A person or thing loved or admired.
Inclinationnoun
Decantation, or tipping for pouring.
Inclinationnoun
an attitude of mind especially one that favors one alternative over others;
Inclinationnoun
(astronomy) the angle between the plane of the orbit and the plane of the ecliptic stated in degrees
Inclinationnoun
(geometry) the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis)
Inclinationnoun
(physics) the angle that a magnetic needle makes with the plane of the horizon
Inclinationnoun
that toward which you are inclined to feel a liking;
Inclinationnoun
the property possessed by a line or surface that departs from the vertical;
Inclinationnoun
a characteristic likelihood of or natural disposition toward a certain condition or character or effect;
Inclinationnoun
the act of inclining; bending forward;
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 ) ] .
