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#4901 2012-10-02 05:23:06

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

I don't know, it is compulsory. She also had a differential equations lecture today too. All first-years have to do the compulsory timetable as listed at least.

#4902 2012-10-02 05:29:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

Too bad you could not be there as a heckler.


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

#4903 2012-10-02 05:31:52

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Yes, but I probably wouldn't do it, as that'd make a whole load of people upset...

I used to have this stupid idea that I could get to know F through maths. She could tell me about an idea and I would tell her something she did not know in return.

#4904 2012-10-02 06:33:55

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Also, I had a thought today, about complex derivatives. As we recall, you can use the gamma function to find the ith derivative of a function (such as a polynomial). It follows that if you take the ith derivative, and then take the (1-i)th derivative of that, that is the same as taking the first derivative (and very easy to prove).

But, supposing you wanted to take the ith derivative of x^k, i times. How does one reason or even compute this? We know that if you take, for example, the 3rd derivative of something 3 times, that is the same as taking the 9th (3^2) derivative. So surely taking the ith derivative i times would yield the (-1)th derivative, also known as an integration.

My problem lies in the first part. How do you do anything i times, and how could you write that or compute it?

#4905 2012-10-02 08:15:15

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

Hi;

When you say the ith derivative are you using i as an iterator or as √(-1) ?


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

#4906 2012-10-02 08:16:40

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

I am using it as √(-1).

#4907 2012-10-02 08:18:49

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Taking the ith derivative is itself doable:

But it is doing that i times which is the issue.

#4908 2012-10-02 08:32:28

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Of course doing this would require computation if i!, which can be written in the form of a + bi, but a and b are irrational and only expressible with infinite series. However, taking the absolute value of it yields a much nicer value for i!:

#4909 2012-10-02 08:34:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

Hi;

What is the answer if you do it one more 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

#4910 2012-10-02 08:49:29

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

You mean, taking the ith derivative of x^k again? If we do that n times;

and letting n = i yields

which seems to reduce to

since gamma(k+1)/gamma(k+2) = k!/(k+1)! = 1/k...

But this then seems quite strnage, because the denominator should equate to k+1 if this is true (we are integrating x^k here using differentiation). But I do not see how that infinite product will approach that.

#4911 2012-10-02 08:51:11

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

At the moment, I do not know if I have made any sense at all, or if I have just said a bunch of meaningless mumbo-jumbo...

#4912 2012-10-02 08:53:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

Hi;

Okay, let me play with that formula a bit.


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

#4913 2012-10-02 09:01:41

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Okay, let me know what you get.

Interestingly I am seeing my maths teacher (the one I talked about, over e-mail) tomorrow, maybe I can bring this up with her. She said she liked complex analysis.

#4914 2012-10-02 09:16:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

Yes, do that. Might bring an interesting turn of events.


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

#4915 2012-10-02 09:27:08

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Unfortunately we won't be alone, we will be in the maths office. But at least there will not be any Cs and Fs in there.

#4916 2012-10-02 09:48:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

Sounds interesting. You could all listen to F give her lecture in person.


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

#4917 2012-10-02 10:00:17

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

F giving lectures...? Why would F be giving lectures?

Also, I just found out that the ith derivative can't be defined in the way that I defined it, so looks like everything I did was a waste of time... sigh.

#4918 2012-10-02 10:09:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

LIke the one she is giving at Cambridge.

That saves me from having to investigate that 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

#4919 2012-10-02 10:10:48

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Huh? F is not giving lectures, she is only a student. She is receiving them and will be for at least the next 4 years...

#4920 2012-10-02 10:15:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

Oh, I am sorry. I thought they had her giving the lecture. Sort of like an exercise.


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

#4921 2012-10-02 10:17:24

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

I think you are allowed to do that after your 4th year but I am not sure.

I don't know why I am still talking about her. There is no reason why I should be, yet, she is still in my head. It is silly.

#4922 2012-10-02 10:20:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

Talking is okay just as long as there is no tears or weeping.


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

#4923 2012-10-02 10:22:11

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

I am not weeping, I just still feel disappointed somewhat, since I never got to talk to her properly, not even about maths.

#4924 2012-10-02 10:26:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,415

Re: Linear Interpolation FP1 Formula

It takes two to make a conversation. Maybe you will find someone else interested in math.


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

#4925 2012-10-02 10:31:48

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Before I asked her out she would have happily talked to me. She even used to smile at me if she saw me.

Honestly, I think that is impossible. Almost everyone in my school hates maths, and the one girl who is applying for maths at uni doesn't even seem to like it (nor does she seem to know much about it...). There is one 'maths club/masterclass' where an old man offers lectures to any students interested, but there is only one person who attends that and he is a guy. This is another reason for my 2013 prediction.

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