[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
9 u2 w. Y8 m. k7 l  v. ]( R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.

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.
2 F0 a+ G7 d9 D, j% ?. Vb) Write and test a program that computes f[n] using Module and a While loop.
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.
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Consider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
- v% m) S0 m+ n( A" va) Compute its fixed points and 2-cycles as a function of \[Mu].
7 [  }; V; r& d! @b) Using linear stability analysis, compute the range of stability of both the fixed points as well as the 2-cycles.
* `" a- a2 Q$ u# J0 I# Y, dc) Show cobweb diagrams for representative parameters illustrating the (un)stable fixed point and 2-cycle.
2 K8 s7 L4 e: [# P' {3 Vd) Graphically demonstrate the onset of a stable 3-cycle.
e) Produce the bifurcation diagram.

fantuen

似乎貼的不是很好...
( t7 j8 l$ y3 x* ]1 [& L- O: P如果有達人願意幫忙, 麻煩+我QQ 860288311
/ }7 M0 E2 y  F; h5 P我可以把notebook檔案發給你

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