The gradient theorem implies that line integrals through gradient fields are path-independent. In physics this theorem is one of the ways of defining a ... Proof · Examples · Example 3 · Converse of the gradient... |
| Gradient theorem |  |
Теорема о градиенте, также известная как фундаментальная теорема исчисления линейных интегралов, гласит, что линейный интеграл через поле градиента может быть вычислен путем оценки исходного скалярного поля в конечных точках кривой. Википедия (Английский язык)
The gradient theorem makes evaluating line integrals ∫CF⋅ds very simple, if we happen to know that F=∇f. The function f is called the potential function of F. |
The fundamental theorem of line integrals, also known as the gradient theorem, is one of several ways to extend this theorem into higher dimensions. |
The Gradient Theorem plays a crucial role in mapping electric fields by describing the intensity and direction as the gradient of electric potential. It's used ... |
An example of using the gradient theorem to calculate the line integral of a conservative, or path-independent, vector field. |
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19 мар. 2020 г. · One of the most important theorems used to derive the first (electrostatic) Maxwell equation - the Gauss-Ostrogradsky or the divergence theorem ... |
10 авг. 2016 г. · Gradient Theorem (Proof). This amazing theorem is also called the Fundamental Theorem of Calculus for Line Integrals. It is quite a powerful ... |
The gradient to me is the simple derivative. It's simply the slope with the vector pointing in the direction of largest slope. |
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