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#151 2015-04-08 20:07:08

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
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Re: Religion with science

What is the error?

'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'
I'm not crazy, my mother had me tested.

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#152 2015-04-08 20:20:04

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

I am getting an answer of 1 but maybe I am misunderstanding something.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#153 2015-04-08 22:59:31

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
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Re: Religion with science

By raising a binomial to the power of 1024, a bumpkin is supposed to get 1025 terms. How many are you getting?

'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'
I'm not crazy, my mother had me tested.

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#154 2015-04-09 05:04:27

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

I thought they wanted only terms that were integers.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#155 2015-04-09 12:34:51

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

That is true.

How many non-integer terms are there?

'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'
I'm not crazy, my mother had me tested.

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#156 2015-04-09 14:31:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

Does it matter, the question says integer terms.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#157 2015-04-09 18:31:39

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
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Re: Religion with science

Well, it does matter because when you ask M to Expand, it rolls up all the integer terms into one term

'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'
I'm not crazy, my mother had me tested.

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#158 2015-04-09 19:53:50

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

Okay, I did not understand the problem.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#159 2015-04-09 23:03:10

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

Do you understand it now?

'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'
I'm not crazy, my mother had me tested.

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#160 2015-04-09 23:15:17

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

Enough to know I will skip it.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#161 2015-04-10 00:20:14

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

How many non-negative solutions to 8x+2y=1024 are there?

'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'
I'm not crazy, my mother had me tested.

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#162 2015-04-10 01:05:36

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

There are 129 solutions.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#163 2015-04-10 01:15:30

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

So, that is the answer to binomial trouble.

'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'
I'm not crazy, my mother had me tested.

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#164 2015-04-10 06:23:05

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

I would think that as an example 1 + 2 + 3 is not 3 terms, you are supposed to combine that into 6.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#165 2015-04-10 10:01:43

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

Even if they are in a series?

'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'
I'm not crazy, my mother had me tested.

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#166 2015-04-10 11:05:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

I would think so.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#167 2015-04-10 12:57:02

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

Have you never done binomial espansions by hand?

'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'
I'm not crazy, my mother had me tested.

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#168 2015-04-10 13:10:56

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

Yes, but I think he should have mentioned that he wanted the individual terms.

How did you get the diophantine equation?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#169 2015-04-10 14:45:17

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

If you know how to rephrase the question, tell me. I will change it.

$\implies (5^{\frac{1}{2}} + 7^{\frac{1}{8}})^{1024} = \sum_{i=0}^{1024} {1024 \choose i} \left( {5^{\frac{1}{2}}}^{i} \right) \left( {}7^{\frac{1}{8}}^{1024-i} \right)$

By each term, we mean each instance of ${1024 \choose i} \left( 5^{\frac{1}{2}i} \right) \left( {7^{\frac{1}{8}(1024-i)} \right)}$

For such a term to be an integer,
and
should both be integers.

Hence,
should be
for some
and
should be
for some
.

So, you want all non-negative ordered solutions of 2x+8y=1024

Last edited by Agnishom (2015-04-10 15:09:18)

'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'
I'm not crazy, my mother had me tested.

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#170 2015-04-10 16:02:01

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

Hi;

Okay, thank you.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#171 2015-04-10 16:37:59

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

How does one solve the diophantine equation ax+by=c?

'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'
I'm not crazy, my mother had me tested.

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#172 2015-04-10 17:04:03

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

You can use M of course or you can use the GCD.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#173 2015-04-10 17:08:41

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

GCD?

Posts cannot contain only capital letters?

'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'
I'm not crazy, my mother had me tested.

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#174 2015-04-10 17:23:51

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Religion with science

The greatest common divisor.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#175 2015-04-10 21:51:20

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,851
Website

Re: Religion with science

But 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'
I'm not crazy, my mother had me tested.

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