[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
6 P! d; q$ c1 b感激不盡
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0 K& d. e9 ^' E  I! u  p/ O% T4 \ 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 ^^
4 y7 u! X) a1 M9 {1 U; j, x. C3 `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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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& ~$ t- @5 k0 hb) Write and test a program that computes f[n] using Module and a While loop.
, n8 k! X- p8 }4 W, g; f3 S0 p4 l/ n8 mc) 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.

4 E4 `  a% {4 K  H& d+ e/ x" }4 eConsider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
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.
c) Show cobweb diagrams for representative parameters illustrating the (un)stable fixed point and 2-cycle.
% z& S; h6 x9 C6 y( jd) 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 z. i( @0 n' l) N$ b9 i我可以把notebook檔案發給你

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