Re: [理工] 工數-拉氏

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--- 文中的推文好像跟我的認知不太一樣 = =ll <1> LT 存在性定理是說: " 分段連續且為指數階函數 " 是 LT 存在性的充分條件一個是根據微積分基本定理+瑕積分定義直接搬來用一個是因為 LT 有 exp(-st) 這個項而來 <2> 承上只要不滿足 LT 的 existance thm. 判斷 f(t) 是否 piecewise cont. 或者是判斷 f(t) 是否為 exponential of order c 基本上是無法確認 L{f(t)} 是否收斂於 s in R.O.C. 最簡單的例子是週期波假設 f(t) 是方波可知 f(t) 非 piecewise cont. , 也非 exponential of order c 但是 L{f(t)} 是存在的因此要判斷 L{f(t)} 是否存在 ∞ -st 還是得由原始定義 L{f(t)} = ∫ f(t)*e dt 下手 0 --- 有問題大家可以一起討論～ -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.113.211.136

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