- Theorem 53 If Y A B C Is A Smooth Path And Z Ec Define F A B C By P Dt S Y T Y T Z F S Exp Th 1 (21.13 KiB) Viewed 27 times
THEOREM 53. If y: [a, b] → C is a smooth path and z EC\*, define F: [a, b] → C by p dt). S y' (t) y(t) - z F(s) = exp Th
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THEOREM 53. If y: [a, b] → C is a smooth path and z EC\*, define F: [a, b] → C by p dt). S y' (t) y(t) - z F(s) = exp Th
THEOREM 53. If y: [a, b] → C is a smooth path and z EC\*, define F: [a, b] → C by p dt). S y' (t) y(t) - z F(s) = exp Then s→ F(s)/(y(s) z) is constant. Hint: A function defined on a real interval is constant if and only if its derivative is 0.