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

You are not logged in.

- Topics: Active | Unanswered

**zetafunc.****Guest**

darn, I guess Fourier Series cannot provide me with an elegant solution.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

The funny thing 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.**

**Online**

**zetafunc.****Guest**

That is what I was trying to show -- but I can't do it...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

Are you allowed to use a table of sums?

**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.**

**Online**

**zetafunc.****Guest**

Nope, we get a formula booklet with just some standard Taylor series, trig formulae, stats tables, etc.

I'm also a bit worried about using tricks like Fourier series because to score a full 20 marks on one question, your argument has to be flawless -- for instance, I probably won't use contour integration in STEP, since I'd need to justify a lot of stuff. As a result, I tend to just look for the solution they want me to find.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

That is like asking a runner to use only one leg.

**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.**

**Online**

**zetafunc.****Guest**

Rules are rules unfortunately.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

Without one, summing the partial series by series methods will be tough.

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**zetafunc.****Guest**

I've been able to reduce the problem to

with multiple use of the sum to product trig formulae. But I'm not sure if that helps.

**zetafunc.****Guest**

W|A is saying I'm wrong, will have to try another approach.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

Hi;

It is not going anywhere from there that I can see. You have an idea?

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**zetafunc.****Guest**

TSR's solution makes sense to me now, seems pretty simple now that I think about it...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

Very good then. Glad you figured it out.

I need a little break be back soon.

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**zetafunc.****Guest**

The hardest part is the recognition of things like sin(22pi/23) = sin(pi/23). Other than that, it is just a case of equating imaginary parts with De Moivre's. I'll remember this trick for similar series!

Okay, see you later.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

Hi;

Very good work.

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**zetafunc.****Guest**

You mean, very good work to whoever made that solution... I simply read it.

Nothing from adriana this weekend. Apparently she, her sister and her brother have all deleted their Facebook accounts...?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

That means she is going undercover.

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**zetafunc.****Guest**

Undercover? Her Google+ profile is still active though...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

Yes but getting off of facebook is sort of sacrilegious.

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**zetafunc.****Guest**

Yes, but it is strange to see adriana, her sister and her brother all come off of it at once...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

Sounds like they are all preparing to be abducted by aliens...

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**zetafunc.****Guest**

I just assumed it was because the exam season is approaching, although she never did this during January I don't think... she's also not been active on chat as far I have been able to see. Maybe she is genuinely busy.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

Maybe, but not as busy as you.

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**zetafunc.****Guest**

I would think she should be busier than me because when I last talked to adriana she had only done 10 STEP questions.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,695

That suggests she is not busy at all. Perhaps between parties she is working on one.

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**