[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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fantuen

題目如下, 請高手幫幫忙 ^^
% C8 z6 |' v4 V# o1. 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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; Z$ \/ d2 f  |7 i0 n/ ^8 ~$ {( Da) 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 q* ^2 z  p( @' E/ w9 W- b. d4 pb) Write and test a program that computes f[n] using Module and a While loop.
" \* s' J) y$ o0 hc) 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].
) L, c. ^% M" m1 `2 k! ~! Ua) Compute its fixed points and 2-cycles as a function of \[Mu].
8 I6 Q7 e4 A. j: x2 a0 Eb) 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.
# ~" _6 `' F) ^' ?$ te) Produce the bifurcation diagram.

fantuen

似乎貼的不是很好...
9 z* i( K' C; B% P$ L$ ]2 j5 R如果有達人願意幫忙, 麻煩+我QQ 860288311
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