[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
感激不盡

# ~1 w, h6 p0 u' e& p# _ Question.nb (5.6 KB, 下载次数: 2)

2011-3-28 21:51 上传

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gaoshanliu水

fantuen

似乎貼的不是很好...
4 j6 a  `+ D, }& {6 k* b  o; G' \4 q# t如果有達人願意幫忙, 麻煩+我QQ 860288311
我可以把notebook檔案發給你

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.
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8 @5 f: B1 @( O2 oa) 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.
4 U0 i* X# ?+ q( Ob) Write and test a program that computes f[n] using Module and a While loop.
( e+ b- f! `- m6 Z% Lc) 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.

+ t0 e% A. D) x% mConsider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
9 @+ u) Q! |5 K6 Oa) 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.
c) 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.