[分析] Inverse Function Theorem題目
Let f: R^n → R^n be of class C^1.
Suppose that there is a number c > 0 such that
| f(x) - f(y) | >= c|x - y| for all x,y in R^n.
Show that f is 1-to-1, Jf(x)≠0 for all x in R^n, and f(R^n)=R^n.
只會證明f是1-to-1的
還有每個partial derivative都非0
但之後要怎麼下手就不會了
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