Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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## #26 2013-03-27 15:35:14

Agnishom
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### Re: The subset dilemma

On second thoughts.... I doubt it

'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'
'The whole person changes, why can't a habit?' -Alokananda

## #27 2013-03-27 22:00:22

anonimnystefy
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### Re: The subset dilemma

Why is that?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #28 2013-03-27 22:03:22

Agnishom
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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'
'The whole person changes, why can't a habit?' -Alokananda

## #29 2013-03-27 22:07:50

anonimnystefy
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### Re: The subset dilemma

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #30 2013-03-27 22:44:52

Agnishom
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### 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'
'The whole person changes, why can't a habit?' -Alokananda

## #31 2013-03-27 22:54:43

anonimnystefy
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### Re: The subset dilemma

Hm, try entering this into Maxima:

#### Code:

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #32 2013-03-27 23:10:07

Agnishom
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### 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'
'The whole person changes, why can't a habit?' -Alokananda

## #33 2013-03-27 23:13:54

anonimnystefy
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### Re: The subset dilemma

Yes it is.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #34 2013-03-27 23:16:20

Agnishom
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### 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'
'The whole person changes, why can't a habit?' -Alokananda