[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
" v; R3 R( K* C" X+ P8 B感激不盡

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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.
b) Write and test a program that computes f[n] using Module and a While loop.
; i9 W/ G1 Z1 W: j, S3 i# @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.
3 Q1 ~& x3 @  T* j; c0 B
5 J% w! p8 @1 q5 W4 ?5 EConsider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
) [7 H6 k! m, O' A) t8 _, s1 ?3 ea) Compute its fixed points and 2-cycles as a function of \[Mu].
0 \! x( F* I/ W: e" Sb) Using linear stability analysis, compute the range of stability of both the fixed points as well as the 2-cycles.
9 N* J- e0 W: x0 X! {- B: Xc) Show cobweb diagrams for representative parameters illustrating the (un)stable fixed point and 2-cycle.
5 @0 M3 d1 y; Cd) Graphically demonstrate the onset of a stable 3-cycle.
# B) ^' P- s8 O9 t# p7 ?: ie) 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
; C$ o4 C/ Y! L我可以把notebook檔案發給你

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