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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

Yep, a particularly nasty mess of them too. I got the plates and some pots done.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**zetafunc.****Guest**

How come it is taking you so long?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

My back bothers me the most when doing jobs around that sink. It is too low and I have to bend a lot. I just go slow and get it done in pieces.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**zetafunc.****Guest**

Oh, I see. Would a stool work?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

I do not think so because it would make me taller. The sink was obviously constructed for a smaller person or one with a normal back.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**zetafunc.****Guest**

A lower stool, I mean -- my grandad has one in the bathroom for the sink.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

To sit on or stand on?

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

To sit on.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

I wished I had something like that, maybe a bar stool.

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

I think PJ has some back problem too.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

Anybody can get it regardless of age or shape.

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

I feel it too if I bend down for too long, but it is probably not the same thing.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

Actually it is quite funny to see all the ugly little kids in the neighborhood staring at me as I lurch and groan while walking down the street. Their mothers say a little prayer as the monster passes them, to protect them. "Your prayers are useless against me you ugly old skank," I scream. "I am not a monster. I am a human being just like you."

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

Hmm, never found a Mother literally uttering prayers in such a scenario...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

You have never had me walking through your streets.

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

I have seen some pretty scary ones. There is an elderly man who has a terrible back problem walking along my street every morning, he is almost completely keeling over.

Also, have you done the exercise on evaluating definite integrals via contour integration, in the Schaum's Advanced Calculus (3rd edition) book, Ch. 16 pg 434? There are some interesting problems in there that are quite tricky too, and I am stuck on one.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

Hi;

Mine is older than that. Let me see if I have the 3rd edition in here.

Okay, I got it. Which number?

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

Thanks -- question 16.71.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

Okay, checking his answer first before we start.

That is correct. What part can we start looking at?

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

Since x ≥ 0 and f(x) ≥ 0, we should consider a contour such as this:

In other words, the upper right-hand quarter of a circle, enclosing the whole of the first quadrant.

So we have:

.The residue at the pole

is .And that's as far as I've got, because I don't know what to do next...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

I do not think that is right. The correct answer here in my notes is π/3

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

What isn't right?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

My error, you are just computing the pole and the residue so that is correct so far. Excuse the confusion, I am looking at two sets of notes that are not yet cleaned up. This is a work in progress for me.

**In mathematics, you don't understand things. You just get used to them.**

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**zetafunc.****Guest**

Any progress?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,866

Yes, I have it done by the residue method.

**In mathematics, you don't understand things. You just get used to them.**

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