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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Okay, I will help you with specific parts if you want it but if we get egg on our face...

**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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**zetafunc.****Guest**

Oh boy, this doesn't look nice...

Looks like it's going to be a long night

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Hi;

That will yield the inverse?

**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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**zetafunc.****Guest**

It will at least give me the Cauchy principal value integral they are talking about,

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Okay, let me know what you get.

**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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**haron****Member**- Registered: 2011-09-27
- Posts: 1

hi everybody, i have got a doubt as to if laplace transform of (cos at)/t exists. if it doesnt, please explain as to why.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Hi haron;

The transform of that does exist.

Welcome to the forum!

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**nich****Guest**

doesnt tan(t) grow faster than an exponential? then cannot use laplace?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Hi nich;

Let's say that it does. Why does that mean you can not use the transform?

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

I think L{tan(at)} doesn't exist because of its discontinuities.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Hi zetafunc.;

Yes, the infinite number of them.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

bobbym wrote:

Hi haron;

The transform of that does exist.

Welcome to the forum!

Is that supposed to be the Euler-Mascheroni constant? Where is that coming from?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Hi;

This was long ago and needs refreshing. That either comes from Alpha or a table. That is the Euler-Mascheroni constant.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

W|A is giving me that but without that constant. Can't really see where it would come from... I'll try the integration tomorrow.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Hi;

Alpha is not quite up to the stand alone program.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

I don't have the money for it yet.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Make sure you scan it well.

Probably that constant comes from the fact that the answer contains a series that equals it.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

Off the top of my head I can only think of the sum of the reciprocals of the natural numbers from 1 to n, minus log(n), as n tends to infinity. I know that yields the Euler-Mascheroni constant. I do not know of any others, maybe there are more.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Oh yes, there are many more! But no one knows whether it is irrational or not.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

Really? I did not know that. I just assumed it was irrational...

**zetafunc.****Guest**

The constant also comes out in the Laplace transform of natural log. Interesting.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

You should like this one:

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

Haha, it is the Zeta function! I am going to make a note of that one. I wonder how that can be proven.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,435

Hi;

I do not remember but if I see it...

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

I am looking at the wiki page now. There are lots involving the gamma function.