Search results
- DictionaryGra·di·ent/ˈɡrādēənt/
noun
- 1. an inclined part of a road or railway; a slope: "fail-safe brakes for use on steep gradients"
- 2. an increase or decrease in the magnitude of a property (e.g. temperature, pressure, or concentration) observed in passing from one point or moment to another.
gradient | American Dictionary. noun [ C ] us / ˈɡreɪd·i·ənt / Add to word list. earth science. a measure of how steep a slope is, often expressed as a percentage. (Definition of gradient from the Cambridge Academic Content Dictionary © Cambridge University Press) Examples of gradient.
us / ˈɡreɪd·i·ənt / Add to word list. earth science. a measure of how steep a slope is, often expressed as a percentage. (Definition of gradient from the Cambridge Academic Content Dictionary © Cambridge University Press) Examples of gradient.
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 \(\theta \).
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. Formally, given a multivariate function f with n variables and partial derivatives, the gradient of f, denoted ∇f ...
Apr 13, 2024 · 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 ∇.
The gradient is a fancy word for derivative, or the rate of change of a function. It’s a vector (a direction to move) that. Points in the direction of greatest increase of a function ( intuition on why) Is zero at a local maximum or local minimum (because there is no single direction of increase)
- mathworld.wolfram.com
- › Algebra
- › Vector Algebra
4 days ago · Gradient. The term "gradient" has several meanings in mathematics. The simplest is as a synonym for slope . The more general gradient, called simply "the" gradient in vector analysis, is a vector operator denoted and sometimes also called del or nabla. It is most often applied to a real function of three variables , and may be denoted. (1)
