Re: [積分]請問Jordan Curve是什麼鬼?
※ 引述《benwenbb (溫仔)》之銘言:
: 就是今年94中正的考題
: 他說要再JORDAN CURVE上作一個積分
: 但卻不知道那是啥,麻煩大家了
簡單的說就是好的曲線.
We call that a path in the complex plane is a complex-valued
function γ, continuous on a compact interval [a,b].
The image of [a,b] under γ (the graph of γ) is said to be
a curve described by γ and it is said to join the points γ(a)
and γ(b).
If γ(a) = γ(b) and if γ is one-to-one on the half-open
interval [a,b), the curve is called a simple closed curve,
or a Jordan curve.
就算不曉得 Jordan curve 是啥, 直接做線積分也是沒問題的吧,
除非積分子太爛.
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