[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
  _" z2 ~& k; O感激不盡
1 t2 `8 ^* g1 }3 Y
5 h" S" T( ~8 u Question.nb (5.6 KB, 下载次数: 2)

2011-3-28 21:51 上传

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fantuen

題目如下, 請高手幫幫忙 ^^
! h: X2 B% r: C, W; W% o& G1. 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.

& ~  {- X% j& [2 v4 b2.  
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.
$ l/ e6 l" X& p6 C- bb) Write and test a program that computes f[n] using Module and a While loop.
$ P9 p+ R4 {( a9 F; x" ]# Yc) 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.

5 b6 H% s. G, `$ l! l6 GConsider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
9 w3 l  X6 D# w/ L: Q+ G* y! _a) 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.
& @; n# Q9 C. ?. U: H8 S; K1 cc) Show cobweb diagrams for representative parameters illustrating the (un)stable fixed point and 2-cycle.
d) 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
7 t; ?, d4 [+ s. {我可以把notebook檔案發給你

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