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In Calculus, a gradient is a term used for the differential operator, which is applied to the three-dimensional vector-valued function to generate a vector. The symbol used to represent the gradient is ∇ (nabla). For example, if “f” is a function, then the gradient of a function is represented by “∇f”.
What is the definition of the gradient? The gradient is the inclination of a line. It is measured in terms of the angle the line makes with the reference x-axis.
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). In vector calculus, the gradient of a scalar-valued differentiable function of several variables is the vector field (or ...
: 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. 3. : 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. 4.
a measure of a change that occurs between different quantities of something such as temperature or pressure over a particular distance: This study shows how organisms are organized across major environmental gradients. At an altitude of ten miles, there is a distinct temperature gradient. Fewer examples.
“Gradient, divergence and curl”, commonly called “grad, div and curl”, refer to a very widely used family of differential operators and related notations that we'll get to …
The rate at which a physical quantity, such as temperature or pressure changes over a distance. A operator on scalar fields yielding a vector function, where the value of the vector evaluated at any point indicates the direction and degree of change of the field at that point.
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 ∇.
a measure of a change that occurs between different quantities of something such as temperature or pressure over a particular distance: This study shows how organisms are organized across major environmental gradients. At an altitude of ten miles, there is a distinct temperature gradient. Fewer examples.
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.
