Gradient - Wikipedia
The gradient, represented by the blue arrows, denotes the direction of greatest change of a scalar function. The values of the function are represented in greyscale and increase in value from white (low) to dark (high).
Gradient Definition & Meaning - Merriam-Webster
: change in the value of a quantity (such as temperature, pressure, or concentration) with change in a given variable and especially per unit distance in a specified direction. : the vector sum of the partial derivatives with respect to the three coordinate variables x, y, and z of a scalar quantity whose value varies from point to point.
Gradient in Calculus (Definition, Directional Derivatives, …
In calculus, a gradient is known as the rate of change of a function. Visit BYJU’S to learn the gradient of a function, its properties and solved examples in detail.
Gradient definition - explanation and examples - Cuemath
What Is the Definition of Gradient? The gradient is the inclination of a line. The gradient is often referred to as the slope (m) of the line. The gradient or slope of a line inclined at an angle \(\theta \) is equal to the tangent of the angle \(\theta \).
GRADIENT | English meaning - Cambridge Dictionary
GRADIENT definition: 1. how steep a slope is: 2. a measure of a change that occurs between different quantities of…. Learn more.
14.7: Directional Derivatives and the Gradient
2024年12月14日 · The definition of a gradient can be extended to functions of more than two variables. Definition: Gradients in 3D. Let \(w=f(x, y, z)\) be a function of three variables such that \(f_x, \, f_y\), and \(f_z\) exist. The vector \(\vecs ∇f(x,y,z)\) is called the gradient of …
GRADIENT | definition in the Cambridge English Dictionary
GRADIENT meaning: 1. how steep a slope is: 2. a measure of a change that occurs between different quantities of…. Learn more.
GRADIENT definition and meaning | Collins English Dictionary
A gradient is a slope, or the degree to which the ground slopes. ...a gradient of 1 in 3. The courses are long and punishing, with steep gradients. The gradient of a graph or series of measurements is the rate at which one set of amounts changes in relation to another. Collins COBUILD Advanced Learner’s Dictionary.
Gradient | Definition & Facts | Britannica
2024年12月13日 · gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.
Gradient - Math.net
Gradient. The gradient for a function of several variables is a vector-valued function whose components are partial derivatives of those variables. The gradient can be thought of as the direction of the function's greatest rate of increase.
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