矢量场
在矢量分析中，矢量场是把空间中的每一点指派到一个矢量的映射。
物理学中的矢量场有风场、引力场、电磁场、水流场等等。
设X是R里的一个连通开集，一个矢量场就是一个矢量函数
我们称F为一个C矢量场，如果F在X上是k次连续可微的。
在X内，一个点x被称为固定的，若
矢量场可以理解为一个n维空间，其中对X内每一个点都有个附着的n维矢量。
给定两个定义于X上的C-矢量场F,G以及一个定义于X上的C-实值函数f，可以定义以下运算
如此便可定义在C函数的环上的C矢量场的模。
Vector field
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Vector field 向量场
In vector calculus, a vector field is an assignment of a vector to each point in a subset of space. A vector field in the plane (for instance), can be visualised as: a collection of arrows with a given magnitude and direction, each attached to a point in the plane. Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point.
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