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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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Sorry, I missed your post.

Just square both sides of the equation in the quote twice and do the necessary transposition

'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'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Okay, very good. Now check the url but I would still use a calculator.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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That quartic formula is very complicated. Are you sure there is no tricks for this particular problem.

(Please do not site the teakettle principle)

'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'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

There sure are tricks for it. There is a nice substitution.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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Then why are you not telling 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'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Because you should see that what I am suggesting could not possibly work.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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I do not know what you're suggesting

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

The standard idea is y = x^2, that ain't gonna get the job done here. And quoting the CSBF principle makes the solution clear.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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What principle is that?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Common Sense, Brute Force.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**Arna****Member**- From: The Polar Plane
- Registered: 2014-07-23
- Posts: 125

@bobbym

do you mean brute force is a principle ?

Nothing is impossible as the statement itself states I M POSSIBLE

In this realm of twisted reality,sanity is only illusion

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bobbym wrote:

Common sense is Kaboobly Doo.

Quote that principle anyway

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**Arna****Member**- From: The Polar Plane
- Registered: 2014-07-23
- Posts: 125

yes please tell the principle

@bobbym

Nothing is impossible as the statement itself states I M POSSIBLE

In this realm of twisted reality,sanity is only illusion

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

do you mean brute force is a principle ?

Not exactly. The principle is this, what good does it do wasting time trying to find a shortcut? Had he used the quartic formula he would have been done already.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**Arna****Member**- From: The Polar Plane
- Registered: 2014-07-23
- Posts: 125

thnx

@bobbym

Nothing is impossible as the statement itself states I M POSSIBLE

In this realm of twisted reality,sanity is only illusion

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Okay, for recreation?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Recreation is nice, sort of like watching Them. But man when you need the answer faster than the other guy you can not doodle around looking for mathematical beauty. Too bad no one got the chance to read CSBF.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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I do not need the answer faster. In fact, I was not asked for the answer. I was asked for the method

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**Arna****Member**- From: The Polar Plane
- Registered: 2014-07-23
- Posts: 125

@agnishom

what answer?

In this realm of twisted reality,sanity is only illusion

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

That is a good one! They are always asking for the method, caring little for the answer. Well, you can take 3 months trying to find a 10 minute shortcut. Total time to solve the problem 3 months + 10 minutes. I will just use the formula, time to solve the problem 20 minutes. Now if you and I were working together at NASA and I handed in the answer in 20 minutes and you took 3 months and 10 minutes who do you think is going to get that big raise?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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The point is that I want to join the Math Challenge master post in Brilliant, not NASA.

Arna, do you know what the thread is about?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

That is what the article was talking about. Sometimes doing what is at hand is better than trying to find the perfect solution, especially when you need the answer right now.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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But I *do not* need the answer right now. I already have that

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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