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#76 2013-04-14 03:06:12

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

That expression gets the second square before the first. We could iterate again and get the third, fourth or fifth.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#77 2013-04-20 15:59:34

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
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Re: Four Square

I just coded it and it worked!


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#78 2013-04-20 18:41:49

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

Hi Agnishom;

Which did you code?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#79 2013-04-20 19:49:47

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

This: http://www.alpertron.com.ar/4SQUARES.HTM

Wait, something's wrong: it can't decompose numbers like 130, 520, 2080, 8320, 33280, 133120 and I can't understand why.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#80 2013-04-20 23:34:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

All those numbers are divisible by 130. Can it do 16?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#81 2013-04-21 00:31:49

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

Yes.

(All numbers between them and less than them can be done)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#82 2013-04-21 00:47:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

There are

for 130. Maybe his algorithm is not correct.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#83 2013-04-21 00:52:39

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

What they simply say:

Last edited by Agnishom (2013-04-21 00:54:03)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#84 2013-04-21 01:03:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

Did you try his applet at the bottom and see if it works on 130?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#85 2013-04-21 01:08:33

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

Let me do that now.

BTW Can you see this:


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#86 2013-04-21 01:09:03

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

Hi;

No, I can not.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#87 2013-04-21 01:14:09

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

Oh! Then #84 won't make sense to you.

Yes, it can decompose 130 and that is sad


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#88 2013-04-21 01:19:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

How did you express 130 in the form of 4^r * s?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#89 2013-04-21 01:32:46

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

Repeated division by 4.

The problem is here I guess:

Subtract a square and check whether the result has the form 2^m (4k+1) where m is a non-negative integer.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#90 2013-04-21 01:50:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

Hi;

There is no form 4^r *s = 130

Also, 130 is representable as the sum of 2 squares.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#91 2013-04-21 01:52:18

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

(4^0)*(130) = 130


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#92 2013-04-21 02:02:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

What did you now get for this step?

2^m (4k+1)


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#93 2013-04-21 02:11:52

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

That is the problem, I can't do it. 4k + 1 isn't being a prime


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#94 2013-04-21 02:13:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

When you ran his applet, what was his answer for 130?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#95 2013-04-21 04:13:44

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

7**2 + 9**2


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#96 2013-04-21 04:40:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

Maybe I am missing something but how do you know what square to subtract?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#97 2013-04-21 05:15:01

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

I am starting from 0, then 1 then 4 then 9 then 16 and so on..

Last edited by Agnishom (2013-04-21 05:15:28)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#98 2013-04-21 05:27:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,124

Re: Four Square

Let me look at it for awhile.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#99 2013-04-21 05:40:28

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

look for what?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#100 2013-04-21 05:43:16

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,205
Website

Re: Four Square

See this one: http://agnishom.tumblr.com/post/48531450618/splitting-an-integer-into-four-squares


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

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