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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

It would be interesting to see one, though.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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An algorithm with a O(n^n^n^n)?

2^2^2^2 = 65536

Do you have any idea what 3^3^3^3 is?

**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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**anonimnystefy****Real Member**- From: The Foundation
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Yes, I do. But imagine an algorithm of complexity O(G_n) where G_n is the Graham's number except that it uses n instead of 3 everywhere.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Forget that Graham's number kaboobly doo, what is your estimate of 3^3^3^3?

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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It has around 3.6*10^12 digits.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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And the mantissa?

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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What mantissa?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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1.342*10^20, the 1.342 is the mantissa.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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What about it?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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What is the mantissa?

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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It is 3.63something.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Hi;

Those are the first 3 digits of the exponent.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Hi bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Hi;

Yes, I know but what are the front digits. The mantissa!

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

3.6 ?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Hi anonimnystefy;

Those are the front digits of the exponents not the mantissa.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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I am getting that as the mantissa.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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May I see your full answer?

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Hi bobbym

This is what W|A gives.

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**bobbym****Administrator**- From: Bumpkinland
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That is the number of digits. That is the same as the exponent of the answer. But it is not the mantissa of the answer.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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W|A won't tell me.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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That is the point! Wolfram can not do 3^3^3^3. But we can still get an answer!

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Numerical analysis?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Yes and any other branch of math! In a school problem you can only use the material you just learned. Usually just the last chapter of the textbook covered. In the real world there are no bounds! Any technique that gets an answer is good.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Let me see how youwould do that, will you?

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