[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
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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 ^^
' d* f+ {6 |8 M/ C2 O& p1. 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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( C. }6 @: J9 x! u" ^- ~4 Ca) 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.
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' W5 Y- p& k0 `& h: MConsider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
, G/ s. Y1 }. S6 ca) Compute its fixed points and 2-cycles as a function of \[Mu].
! O+ F8 r' m* [) |; gb) Using linear stability analysis, compute the range of stability of both the fixed points as well as the 2-cycles.
3 j+ X; w1 ?$ V' L' T$ P0 vc) 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.
. `$ b' J$ f3 p4 Ie) Produce the bifurcation diagram.

fantuen

似乎貼的不是很好...
* i$ _3 @6 ], O+ Q! m如果有達人願意幫忙, 麻煩+我QQ 860288311
我可以把notebook檔案發給你

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