[發問] 三個Mathematica的問題請求幫助

fantuen

請各位專家幫忙提示我該如何解題
+ d' V% M9 M) }) J感激不盡

Question.nb (5.6 KB, 下载次数: 2)

2011-3-28 21:51 上传

点击文件名下载附件
Mathematica notebook檔案
下载积分: 体力 -2 点

+ K9 _, c' G  N& O7 x

fantuen

題目如下, 請高手幫幫忙 ^^
1. Write a function that as input has an expression f, and returns the logarithmic derivate 1/f (d f)/(d x) . Use a conditional or pattern test to make your function accept any symbols as input except for lists.

, |; d% z" P0 A8 o7 ]& T( z0 m: ]2.  
a) Write a recursive function that computes the function f[n] defined by 6 n f[n]=f[n-1]+n! for n>0, and f[0]=7. Restrict the argument to positive integers.
* a/ W2 |2 h$ a2 g3 O  gb) Write and test a program that computes f[n] using Module and a While loop.
* _# W1 A3 c9 z' ^c) Compare the timings of the two methods by computing f[n] in both cases for very large values of n and/or doing the computation many times. You may have to use Clear or restart to clear Mathematica's memory of previous calculations. Explain your results.
: ~! d. u4 n8 {" U, r
1 N' l* t: @# J# ?Consider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
' s% Z/ H" ~6 O. [; Ja) Compute its fixed points and 2-cycles as a function of \[Mu].
b) Using linear stability analysis, compute the range of stability of both the fixed points as well as the 2-cycles.
1 T& D6 u9 A3 b( [' H* j! I1 ac) Show cobweb diagrams for representative parameters illustrating the (un)stable fixed point and 2-cycle.
) E* o. ]) k; s6 }1 N3 S# c  B8 }# id) Graphically demonstrate the onset of a stable 3-cycle.
e) Produce the bifurcation diagram.

fantuen

似乎貼的不是很好...
如果有達人願意幫忙, 麻煩+我QQ 860288311
我可以把notebook檔案發給你

gaoshanliu水