推 GeeDuTu :ML inequality 04/13 01:01
→ big1p :L會算，但M不會，拜託拜託誰可以幫我解惑一下 04/13 06:55
推 jacky7987 :第一個用到|e^z|=e^Re(z) 04/13 08:14
→ jacky7987 :第三個大概要用到jordan ineq吧 04/13 08:15
推 jacky7987 :第二個是straight forward 04/13 08:17
1. If γ is the vertical line segment from z=R(R>0) to z=R+2πi, then
| 3z | 3R
| e | 2πe
|∫ --------dz|≦ ---------
| γ z | R
| 1 + e | e - 1
2. If γ is the arc of the circle |z|=1 that lies in the first quadrant, then
| | 2
| | π
|∫ logzdz|≦ ---
| γ | 4
| |
3. If γ is the line segment from z=0 to z=i, then
| |
| sinz |
|∫ e dz|≦1
| γ |
| |
拜託各位高手了
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