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為何學數學 ? (Libre office 原稿)
Transcript of 為何學數學 ? (Libre office 原稿)
Chapter 0 : Background
2005http://youtu.be/Ip0hG7FXVgs
:http://teacher.whsh.tc.edu.tw/lichiou/f2blog/index.php?load=read&id=127
The first story is about connecting the dots. If I had never dropped out, I would have never dropped in on this calligraphy class, and personal computers might not have the wonderful typography that they do. Of course it was impossible to connect the dots looking forward when I was in college. But it was very, very clear looking backwards ten years later.
Again, you can't connect the dots looking forward; you can only
connect them looking backwards. So you have to trust that the dots
will somehow connect in your future. You have to trust in something
your gut, destiny, life, karma, whatever. This approach has never
let me down, and it has made all the difference in my
life
My second story is about love and loss.
My third story is about death.
Boolean
Integer
Set
Relation
Computing
?
V.S.
Why ?
Why
- JPEG
cosine transform
JPEG
eix
eix = cos(x)+i sin(x)
f(x)
Fi ai , bi
(Halting Problem)
- (1)
?
- (2)
I P
()
Halting Problem :
P I
Halting Problem
InputProgram P
InputProgram P
P as Input
Output
H(P,P)
If H(P,P)=halt then loop forever
If H(P,P)=loop foreverthen halt
Halting Problem
H(P,I)="halt" if P(I) halt
="loop forever"if P(I) loop forever
H K
K(P) = if H(P,P)="halt" then loop forever
else halt
H(K,K) ?
Halting Problem
If H(K,K)="halt"K(K) loop forever
If H(K,K)="loop foreverK(K) halt
H is not correct anyway.
Java
String K(String P) { if H(P, P) == halt { while (true) { } } else { }}
If K(K) loop forever H(K,K) = halt
If K(K) halt H(K,K) halt
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FPGA...
TCP/IP...
2D3D...
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PTL (2002 2008 )(2002)
BasicPascalCVBHTML/JavaScript/ASP
FoxproJavaC#Androidnode.js
AI/ Arduino.....
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