Series(Under Construction!)

Christol's Theorem

series (z-transform) in finite field

1/e^(x^2) sqrt(pi)
1/x       ln(x) 發散
1/(x^2)   pi^2 / 6  (離散版本)
1/x!      e         (離散版本)

Fraction(Under Construction!)

Continued Fractions

https://www.wolframalpha.com/examples/ContinuedFractions.html
https://math.temple.edu/~yury/calendar/node2.html

Complex Function

看來看去好像只有analytic => conformal和e值得一提。

Lamber W Function

無限次方變成轉圈。

Riemann ζ Function

p-Adic Number(Under Construction!)

Fractal(Under Construction!)

Fractal

Julia Set
Mandelbrot Set
Dragon Curve
Space-filling Curve
Turtle Graphics
L System
http://www.matrix67.com/blog/archives/6231
http://w2.mat.ucsb.edu/200C/spring_2015/
http://algorithmicbotany.org/papers/
http://www.joesfer.com/?p=46
http://chaos.coa.edu/
http://mathcenter.ck.tp.edu.tw/Resources/Ctrl/ePaper/ePaperOpenFileX.ashx?autoKey=360
http://en.wikipedia.org/wiki/Logistic_map
http://zh.wikipedia.org/wiki/File:Logistic_map_examples_small.gif
http://en.wikipedia.org/wiki/Bifurcation_theory