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

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## #11701 2013-07-09 21:39:22

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11702 2013-07-09 21:43:03

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

How come it is taking you so long?

## #11703 2013-07-09 21:52:18

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11704 2013-07-09 21:59:11

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

Oh, I see. Would a stool work?

## #11705 2013-07-09 22:04:53

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11706 2013-07-09 22:20:15

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

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

## #11707 2013-07-09 22:25:21

bobbym

Online

### Re: Linear Interpolation FP1 Formula

To sit on or stand on?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

zetafunc.
Guest

To sit on.

## #11709 2013-07-10 00:08:43

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11710 2013-07-10 01:17:02

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

I think PJ has some back problem too.

## #11711 2013-07-10 01:19:54

bobbym

Online

### Re: Linear Interpolation FP1 Formula

Anybody can get it regardless of age or shape.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11712 2013-07-10 06:06:36

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

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

## #11713 2013-07-10 06:13:09

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11714 2013-07-10 09:12:05

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

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

## #11715 2013-07-10 09:21:23

bobbym

Online

### Re: Linear Interpolation FP1 Formula

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11716 2013-07-11 06:07:34

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

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.

## #11717 2013-07-11 06:41:12

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11718 2013-07-11 06:53:04

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

Thanks -- question 16.71.

## #11719 2013-07-11 07:03:39

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11720 2013-07-11 07:23:32

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

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...

## #11721 2013-07-11 07:34:14

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11722 2013-07-11 07:39:28

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

What isn't right?

## #11723 2013-07-11 07:55:03

bobbym

Online

### Re: Linear Interpolation FP1 Formula

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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

zetafunc.
Guest

Any progress?

## #11725 2013-07-11 17:45:41

bobbym

Online

### Re: Linear Interpolation FP1 Formula

Yes, I have it done by the residue method.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.