[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 ^^
( t* V3 x/ M3 p- T/ q7 B1. 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.  
% j! }* ~6 Y. E! m! N7 o" C) c+ s# na) 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.
4 t, e7 H0 o  U
% v1 |# A1 T  B, k( R% yConsider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
6 A8 r: p5 \- G8 Ya) Compute its fixed points and 2-cycles as a function of \[Mu].
b) 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.
) g5 g7 A4 L9 e6 s+ ]8 w5 id) Graphically demonstrate the onset of a stable 3-cycle.
/ D+ p( C  W  y; p4 J; Fe) Produce the bifurcation diagram.

fantuen

似乎貼的不是很好...
: l+ f8 {. P# i5 B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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