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## #10076 2013-04-14 01:20:46

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

Unlike adriana my performance in STEP won't affect whether or not I go to UCL, but realistically I think I will get at least S, 1 and 2 in STEP I, II and III. I would like to get 3 S-grades, but that will take some more work. It is very difficult to get an S in STEP III.

## #10077 2013-04-14 01:22:36

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

66 days away you say? That is plenty of time.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10078 2013-04-14 01:25:34

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

Yes -- although it is hard to complete a whole paper in one day...

## #10079 2013-04-14 01:32:00

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

If I can help just post it.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10080 2013-04-14 01:35:14

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

It is OK at the moment, for 2004-2012 they provided solutions -- although for 2003 and beyond they didn't include them.

adriana says she will aim to do 6-8 questions on the weekends, which is pretty good.

## #10081 2013-04-14 01:38:05

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10082 2013-04-14 01:41:17

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

Sometimes she asks for help, sometimes we do a question together. She needed help on a geometry question and I couldn't help her with it because it puzzled me too.

Some of these questions can be really annoying, requiring tedious amounts of algebra...

## #10083 2013-04-14 01:46:03

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

That is what a CAS is for.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10084 2013-04-14 01:49:19

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

It would be nice to use one, but not for this exam, it is not permitted. No calculators. In fact I heard they ban measuring instruments/compasses/etc. too. Pen and paper.

## #10085 2013-04-14 01:52:56

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

I meant for checking right now.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10086 2013-04-14 01:56:41

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

They provide solutions thankfully, so no need to use them for STEP. I use them occasionally though but only for simple things like pattern-spotting, like when you got me to work out the co-efficient of x[sup]n[/sup] in the expansion of (1 + x + x[sup]2[/sup] + ... )[sup]k[/sup], which was (n + k - 1) C (k - 1). That one has been very useful.

## #10087 2013-04-14 02:02:05

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

Yes, that was a good problem.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10088 2013-04-14 02:12:02

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

Also, if G(x) is some generating function, is it always true that

G'(1) = E(X), and that

G''(1) + G'(1) - (E(X))^2 = Var(X)?

So for instance, the PGF for a simple 6-sided, fair die:

would this kind of thing work?

## #10089 2013-04-14 02:12:56

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

The last bit of LaTeX should be differentiating the GF, setting equal to 1, and getting 3.5, the correct answer.

## #10090 2013-04-14 02:22:43

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

Yes, you can get all the moments from the generating function.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10091 2013-04-14 02:32:25

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

Do the moments have any meaning for non-probability GFs? Combinatorial problems for instance?

## #10092 2013-04-14 02:33:46

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

I do not think so, A probability GF is different.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10093 2013-04-14 02:36:48

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

Oh, okay. STEP III has some generating function questions, I didn't know they came up in STEP.

## #10094 2013-04-14 02:43:20

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

They are slowly working their way into every level of mathematics.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10095 2013-04-14 03:37:24

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

adriana doesn't seem to get them at all unfortunately... maybe it is the way I am explaining it.

## #10096 2013-04-14 03:39:33

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

They can be a bit difficult to get at first but once you do...

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10097 2013-04-14 03:47:37

zetafunc.
Guest

### Re: Linear Interpolation FP1 Formula

I found them difficult at first too, I still find them a bit tricky, they are very powerful though.

## #10098 2013-04-14 03:51:22

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

They are a lot of fun too.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

## #10099 2013-04-14 03:55:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

### Re: Linear Interpolation FP1 Formula

Speaking og GFs, bobbym, have you been able to get through the 3rd chapter of GFology?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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## #10100 2013-04-14 04:03:17

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,516

### Re: Linear Interpolation FP1 Formula

Absolutely not, it is said Wilf could not get through it.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online