Vector field：16.1
16.1
2022年9月7日—Thesevectorfieldsareextremelyimportantinphysicsbecausetheycanbeusedtomodelphysicalsystemsinwhichenergyisconserved.。其他文章還包含有：「18.1VectorFields」、「CalculusIII」、「Chapter16VectorCalculus」、「Vectorfield」、「Vectorfields(article)」、「VectorFields-Definition」、「Vectorfields」、「向量場」、「第15章向量場(VectorFields)」、「說明」
查看更多 離開網站Wehaveseenseveralexamplesofvectorfieldsin\(ℝ2\);let’snowturnourattentiontovectorfieldsin\(ℝ3\).Thesevectorfieldscanbeusedtomodelgravitationalorelectromagneticfields,andtheycanalsobeusedtomodelfluidfloworheatflowinthreedimensions.Atwo-dimensionalvectorfieldcanreallyonlymodelthemovementofwateronatwo-dimensionalsliceofariver(suchastheriver’ssurface).Sinceariverflowsthroughthreespatialdimensions,tomodeltheflowoftheentiredepthoftheriver,weneedavectorfieldinthreedimensions.Theextradimensionofathre...
18.1 Vector Fields
https://www.whitman.edu
Vector fields have many important applications, as they can be used to represent many physical quantities: the vector at a point may represent the strength of ...
Calculus III
https://tutorial.math.lamar.ed
A vector field on two (or three) dimensional space is a function →F F → that assigns to each point (x,y) ( x , y ) (or (x,y,z) ( x , y , z ) ) ...
Chapter 16 Vector Calculus
http://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 ...
Vector field
https://en.wikipedia.org
Vector fields (article)
https://www.khanacademy.org
Vector fields represent fluid flow (among many other things). They also offer a way to visualize functions whose input space and output space have the same ...
Vector Fields - Definition
https://www.storyofmathematics
A vector field represents the region in a plane or space that contains a group of vectors that satisfy a function, F ( x , y ) in R 2 or F ( x , y , z ) in R 3 ...
Vector fields
https://www.khanacademy.org
向量場
https://zh.wikipedia.org
在向量微積分和物理學中，向量場（vector field）是把空間中的每一點指派到一個向量的映射。物理學中的向量場有風場、引力場、電磁場、水流場等等。
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). 向量場. 定義15.1.1. (1) 令D ⊂ R2, R2 的向量場(vector field) 是一個函數F : D → R2, 將(x, y).
說明
https://zh.wikipedia.org