[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
3 k# |0 R- a3 G% Y& l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 ^^
3 b* ^9 h9 ?5 F1. 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.

9 I+ t$ i- ]' c6 S2.  
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.
b) 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.
2 K# _0 `1 t$ ^2 _4 u
) Q/ O- {6 `' g; YConsider 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].
; L$ t- V# }) |2 P8 n  s; z* vb) Using linear stability analysis, compute the range of stability of both the fixed points as well as the 2-cycles.
1 x- ~1 Q8 I: h1 ac) Show cobweb diagrams for representative parameters illustrating the (un)stable fixed point and 2-cycle.
- [4 `# _5 Z& e' o; G, i6 ed) Graphically demonstrate the onset of a stable 3-cycle.
$ d9 o1 o& w- n6 F0 ?2 Y6 p& V$ F) Re) 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
1 |5 {0 ^' e; ^- R( S/ E7 f* C* H我可以把notebook檔案發給你

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