[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 ^^
# Y4 P+ Z" Y+ e- `: x6 G1. 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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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.
+ C4 M! i# q7 F9 E9 ?b) Write and test a program that computes f[n] using Module and a While loop.
, o3 c% k4 P. {$ M9 r( G4 L6 I3 W: _" rc) 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.

5 `9 k5 E" B8 v. n6 m% ^  f# r9 BConsider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
0 M* p2 b. i1 z$ s0 \, i( P2 Wa) 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.
- }, V3 C( L+ c8 W2 @( Nc) 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.
; {% s, O& w0 k9 {% F+ Ne) Produce the bifurcation diagram.

fantuen

似乎貼的不是很好...
- d, T2 s( l) X: @; ]+ f如果有達人願意幫忙, 麻煩+我QQ 860288311
5 b( V' H# }" n$ E/ Y3 w我可以把notebook檔案發給你

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