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#26 2013-03-26 16:35:14

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 18,884
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Re: The subset dilemma

On second thoughts.... I doubt it 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

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#27 2013-03-26 23:00:22

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,658

Re: The subset dilemma

Why is that?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#28 2013-03-26 23:03:22

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 18,884
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Re: The subset dilemma

Suppose it is some other number, say 12
Now for all sets whose sum is >=12 their compliments sum is <12
Therefore there are as many sets which sum more than or equal to 12 as the sets which sum less than 12
So....????


'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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#29 2013-03-26 23:07:50

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,658

Re: The subset dilemma

No. If it is >=12, the complement's element sum is less than 55-12=43.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#30 2013-03-26 23:44:52

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 18,884
Website

Re: The subset dilemma

Oh! Got it!
And if it wasn't half then how would you do the problem?


'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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#31 2013-03-26 23:54:43

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,658

Re: The subset dilemma

Hm, try entering this into Maxima:

f(x):=ratexpand(product(1+x^i,i,1,10));
sum(coeff(f(x),x^i),i,12,55);

“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#32 2013-03-27 00:10:07

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,884
Website

Re: The subset dilemma

Is it a gf?


'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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#33 2013-03-27 00:13:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,658

Re: The subset dilemma

Yes it is.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#34 2013-03-27 00:16:20

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,884
Website

Re: The subset dilemma

How dos it work?


'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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