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#126 2012-12-17 02:04:55

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi Agnishom;


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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#127 2012-12-17 04:14:39

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
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Re: A few questions

What led you to the conjecture?


'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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#128 2012-12-17 04:19:50

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi;

Experimental math will produce the correct answer or one that is very close nearly all the time. Not quite rigorous enough for mathematicians but in the real world computation is king.

In addition it suggests a useful property of the possible triangle. I will work on a proof for you but for now I have chores to do.


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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#129 2012-12-18 00:44:46

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

So, you used Geogebra?


'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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#130 2012-12-18 00:46:10

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Yes and a few simple rules.


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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#131 2012-12-18 01:07:19

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

Hi;
Would  you send me the file?


'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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#132 2012-12-18 01:11:04

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Yes, if you want it. Or, I could post how I did it in Computer math...


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

#133 2012-12-18 01:17:15

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

smile Please do whichever you feel is better


'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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#134 2012-12-18 02:30:20

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi Agnishom;

Scientia has just supplied me with this link. Much thanks.

http://www.bmoc.maths.org/solutions/bmo1-2013/


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

#135 2012-12-18 03:49:09

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

Yes!
Thank you so much, Scientia! smile

How do I put this as a proof? Would it be rigorous enough? I think the man is also doing experimental geometry


'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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#136 2012-12-18 05:53:42

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi Agnishom;

Did you understand that the first part shows that there can only be 3 possible answers?


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

#137 2012-12-18 16:47:55

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

I saw it. But still I have doubts


'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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#138 2012-12-18 19:00:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi;

How about the part that says two of the sides must be equal to what is given?


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

#139 2012-12-19 02:02:28

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

I accept it for myself.

But, how do I put it into a written proof?


'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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#140 2012-12-19 02:12:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi Agnishom;

So you would like to have a way to express the fact that you must use 2 of the 3 sides given?


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

#141 2012-12-19 02:18:28

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

Hmm...
That is what I am trying to tell


'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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#142 2012-12-19 02:30:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi;

It looks intuitively obvious but those are always the hardest to prove. I do not have anything firm either.


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

#143 2012-12-19 02:42:03

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

You are correct!


'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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#144 2012-12-19 02:44:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Maybe someone else will show the right way to go from that video. If I get something I will post it for you.


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

#145 2012-12-22 16:14:25

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

So, did anyone get anything yet?


'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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#146 2012-12-31 17:19:26

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

Question 10: A computer program chooses 175 numbers at random, all of which are composed of prime divisors less than 10. Prove that there exists atleast three numbers such that their product is the cube of an 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

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#147 2013-01-12 00:32:15

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

Any ideas?


'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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#148 2013-01-12 06:29:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi Agnishom;

Not yet. I do not even have it in my literature.


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

#149 2013-01-13 18:18:43

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,911
Website

Re: A few questions

What does your literature constitute of?


'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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#150 2013-01-13 18:22:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,521

Re: A few questions

Hi;

A pretty good math library, about as good or better than a university library. Could not find it yet on the web either.


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

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