Gradient vector field：What does it mean to take the gradient of a vector field?
What does it mean to take the gradient of a vector field?
Calculus III
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In this section we introduce the concept of a vector field and give several examples of graphing them. We also revisit the gradient that we ...
Chapter 16 Vector Calculus
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(b) A vector field F is called a conservative vector field (保守向量場) if it is the gradient of some scalar function, that is, if there exists a function f ...
Gradient
https://en.wikipedia.org
In vector calculus, the gradient of a scalar-valued differentiable function f -displaystyle f} -displaystyle f} of several variables is the vector field ...
Gradient Fields
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A gradient field is a vector field that can be written as the gradient of a function, and we have the following definition. Definition. A vector field F ...
Gradient Vector Field Behavior
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The gradient vector
https://www.khanacademy.org
The gradient stores all the partial derivative information of a multivariable function. But it's more than a mere storage device, it has several wonderful ...
第15 章向量場(Vector Fields)
https://case.ntu.edu.tw
15.1 向量場與純量場(Vector Fields and Scalar Fields) ... (4) 梯度場(gradient field) ∇f(x, y, z)。 場線. 例 ... 定義15.2.2. 一個向量場F 若是某個純量函數φ 的梯度場, ...