[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
7 L( P* l8 x9 J2 \感激不盡
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2011-3-28 21:51 上传

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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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" g2 X6 F: W# La) 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.
$ J8 K" a3 }5 L! n, ?) ~2 [2 |b) Write and test a program that computes f[n] using Module and a While loop.
0 B$ v/ U( X+ |9 V' b4 Jc) 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.
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$ V# ]6 a4 W: @3 F1 G9 RConsider 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].
( ^" ]" i- p9 `. v$ l8 v9 Nb) 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.
% @7 n2 Y6 A$ ^; _1 fe) Produce the bifurcation diagram.

fantuen

似乎貼的不是很好...
/ g$ E& }  _  @! k: W1 N如果有達人願意幫忙, 麻煩+我QQ 860288311
2 U% I7 q1 M! M' c3 O( S8 o  r我可以把notebook檔案發給你

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