[積分?] 一題連續複利題目

看板trans_math作者 ( )時間19年前 (2007/03/12 22:50), 編輯推噓2(203)
留言5則, 2人參與, 最新討論串1/2 (看更多)
Suppose that a company expects its annual profits t years from now to be f(t) dollars and that interest is considerd to be compounded continuously at an annual rate r.Prove that the present value of all ∞ future profits can be shown to be ∫ e^(-rt)*f(t) dt 0 毫無頭緒的一題 麻煩大家啦 感謝~ -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 59.112.211.42

03/13 00:37, , 1F
03/13 00:37, 1F

03/13 00:38, , 2F
∫ e^(-rt)*f(t) dt = L[f(t)]
03/13 00:38, 2F

03/13 00:39, , 3F
0
03/13 00:39, 3F

03/13 01:52, , 4F
原來是鼎鼎大名的Laplace transform
03/13 01:52, 4F

03/13 01:52, , 5F
可是我們現在還在念初微 =.= 囧
03/13 01:52, 5F
文章代碼(AID): #15zMZ7AJ (trans_math)
文章代碼(AID): #15zMZ7AJ (trans_math)