Original programming method

A programming method with gOne times ten thousands Theoryh

This puzzle is created to use the Original programming method named gOne times ten thousands Theoryh

Recently we are able to use a high ability PC (Personal Computer).

Main clock speed is more than a thousand million times par second.

A phenomenon of one times ten thousands is a very rare phenomenon for human being

But itfs happen a hundred thousands times in PC. Itfs a frequent occurrence.

However it is impossible to do for human being. If there is a little possibility to do, it is possible for PC. It is able to do in PC.

I created this method about twenty years ago.

When I teach a subject of electricity in high school, many students stumble on Kirchhoff's Theory. This theory is easy to understand but it is very difficult to calculation.

I thought if there are some questions what easy to calculation (For example all solutions are integer), many students are able to understand to Kirchhoff's Theory

So I develop a method to make many questions to easy to calculations automatically what named gOne times ten thousands Theoryh

I 'd like to explain this idea concretely.

For example

Make simultaneous equations what example all solutions are integer.

First time.

Define a coefficient of wCxCy to reasonably integer.

@@Rw{Sx{Ty

@@Sw|Qx{Uy

@|Qw{Rx{Qy

Next is

Define the solution to Integer.

wPCxQCyR

And calculate CC

@@@R~P{S~Q{T~RQU

@@@S~P|Q~Q{U~RPW

@@|Q~P{R~Q{Q~RPO

So simultaneous equation is

@@Rw{Sx{TyQU

@@Sw|Qx{UyPW

@|Qw{Rx{QyPO

So first time Itfs define a coefficient of wCxCy reasonably integer and next time define solution to Integer  that we can get a one question of simultaneous equations what solution is integer .

This method is very popular to make questions.

But my Original programming method is a little different from them.

I pay attention to a fact to exist a one question of simultaneous equations what all solution is integer and build algorithm of program.

The algorithm of program is All coefficient of wCxCy defined at random and calculate to use determinant and check the solutions. If when all of the solutions are integer then completion.

I donft know when itfs completion

But so there is a fact to exist a one question of simultaneous equations what all solutions are integer that itfs complete someday.

This is the Original programming method of gOne times ten thousands Theoryh

A programming method until now is required more quickly response and more shorter code.

But my method is take a roundabout venture and seek the possibility of one times ten thousands to find solutions.

So recently ability of PC is very high that a time of reach the solution is gradually shorter.

So the time is gradually come up our time of life that it became to practical programming method enough.

2006.2.3 Masato.Kanno

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