Gradient vector field：第15 章向量場(Vector Fields)
第15 章向量場(Vector Fields)
15.1向量場與純量場(VectorFieldsandScalarFields)...(4)梯度場(gradientfield)∇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, ...。其他文章還包含有：「CalculusIII」、「Chapter16VectorCalculus」、「Gradient」、「GradientFields」、「GradientVectorFieldBehavior」、「Thegradientvector」、「Whatdoesitmeantotakethegradientofavectorfield?」
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Calculus III
https://tutorial.math.lamar.ed
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
https://www.math.ncue.edu.tw
(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
https://courses.lumenlearning.
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
https://driss-boutat2019.mediu
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 ...
What does it mean to take the gradient of a vector field?
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The gradient of a vector is a tensor which tells us how the vector field changes in any direction. We can represent the gradient of a vector ...