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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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

Re: Linear Interpolation FP1 Formula

That may be your opportunity. Do not volunteer, let her ask.


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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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

Re: Linear Interpolation FP1 Formula

I meant for checking right now.


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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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

Re: Linear Interpolation FP1 Formula

Yes, that was a good problem.


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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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,164

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

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