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作者 profyang 在 PTT [ Math ] 看板的留言(推文), 共376則
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[微積] 極限
[ Math ]13 留言, 推噓總分: +5
作者: nobrother - 發表於 2013/10/29 22:33(12年前)
1Fprofyang:誰跟你趨近常數...10/29 22:40
8Fprofyang:btw你那個極限就LH上下微分即可10/29 22:48
[微積] 微分
[ Math ]34 留言, 推噓總分: +8
作者: kororoDX - 發表於 2013/10/29 21:38(12年前)
5Fprofyang:先帶x=1再求極限比較好一點10/29 22:20
10Fprofyang:我就是怕極限不存在才建議先代阿~那才是f'(1)的定義10/29 23:00
27Fprofyang:問題在於你先求f'(x)再代1進去這個"代1進去"的動作可10/30 00:12
28Fprofyang:能根本無法執行(例如微分不存在) 所以直接求極限然後10/30 00:13
29Fprofyang:發現極限不存在邏輯上比較通 當然如果你求得f'(x)其10/30 00:13
30Fprofyang:實應該已經得出f'(x)在x=1不存在的結論了 只是後面要10/30 00:14
31Fprofyang:再"代1進去"這個動作就沒有意義 所以嚴格來講你做的10/30 00:14
32Fprofyang:事情還是只是求f'(1)那一個極限10/30 00:15
[工數] 常微分方程 脈衝函數
[ Math ]19 留言, 推噓總分: +3
作者: YamadaRyo - 發表於 2013/10/28 02:06(12年前)
13Fprofyang:對阿為什麼不直接用laplace解...還要用猜的= =10/28 11:43
[其他] 求級數和
[ Math ]9 留言, 推噓總分: +4
作者: gnsh - 發表於 2013/10/25 19:44(12年前)
3Fprofyang:靠...1F太威了10/25 20:26
Re: [微積] 有關lim sinθ/θ=1證明
[ Math ]4 留言, 推噓總分: +1
作者: ytyt5239 - 發表於 2013/10/24 23:28(12年前)
3Fprofyang:EB<ED10/25 18:10
4Fprofyang:因為角EBD是直角10/25 18:11
[微積] 有關lim sinθ/θ=1證明
[ Math ]33 留言, 推噓總分: +14
作者: ytyt5239 - 發表於 2013/10/23 19:39(12年前)
5Fprofyang:說泰勒展開的...你推出sin微分不需要題目這個極限嗎?10/23 20:02
6Fprofyang:此外之前好像有人說過 這個證明太簡略 沒有證明AB弧10/23 20:03
7Fprofyang:為何大於AB線 AB線大於BC線是三角不等式 但AB弧大於10/23 20:03
8Fprofyang:AB線可能還是要類似用多邊形去取極限思考 總之太簡略10/23 20:04
11Fprofyang:是可以當已知啦~不過弧這種東西...感覺微積分就是要10/23 20:08
12Fprofyang:把高中沒講清楚的這些極限的東西講清楚10/23 20:08
14Fprofyang:例如要怎麼定義那段弧的長度之類的10/23 20:09
17Fprofyang:面積好像是個不錯的選擇 不過這樣sin角度會變兩倍或10/23 22:10
18Fprofyang:一半 但總之應該是可以證明10/23 22:10
[其他] log的問題~
[ Math ]40 留言, 推噓總分: +9
作者: wdg - 發表於 2013/09/30 19:31(12年前)
20Fprofyang:其實大學理工相關科系大都還是寫ln~只有比較數學的書09/30 22:18
21Fprofyang:才是寫log 畢竟理工的書中還是常會用到log_1009/30 22:18
[中學] e^x-10cosx=0
[ Math ]16 留言, 推噓總分: +6
作者: ChenYM - 發表於 2013/09/29 13:39(12年前)
8Fprofyang:高中怎麼會教牛頓法XDDD09/29 18:12
9Fprofyang:最簡單明瞭的數值解方法就牛頓法了吧 自己matlab寫個09/29 18:13
10Fprofyang:code大概3~5行就解決了09/29 18:14
11Fprofyang:我上面兩樓是在回大學的方法09/29 18:14
[其他] 填入1~9不重複
[ Math ]3 留言, 推噓總分: +3
作者: MaseratiGTS - 發表於 2013/09/26 21:03(12年前)
9Fprofyang:噗~這是傳說中的那題嗎?召喚t2d數學大神!!09/26 23:43
Re: [向量] 證明A ×(B ×C)=B.(A.C)-C.(A.B)
[ Math ]5 留言, 推噓總分: +4
作者: harveyhs - 發表於 2013/09/26 17:37(12年前)
1Fprofyang:幫補充:已知a和b比例 只需代入A=B=(1,0,0) C=(0,1,0)09/26 20:08
2Fprofyang:即可定出比例常數09/26 20:08
4Fprofyang:cross product不是定義在三維的嗎?09/26 22:33