lucifer_sam

here's my homework:

What is the Fourier series for the following system:

y(II) + y = 0
y(0) = 0
y(pi) = 0

see if you can do it guys! i'll post answers later!















































lol, lock.

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first.am

coryallen2

N = (x^2 + y^2)/(1+xy) is a Square

...

coryallen2

*cough*

This list includes the squares of 3, 5, 7, 9, 13, 19, and 63.) These
numbers are the result of a progressive sieve, analogous to the prime
sieve. For example, every term greater than 10 must not be divisible
by 2, because otherwise it would give an integer N for (3K-10)/2 based
on the pair 1,-3. Likewise from the pair 2,-2 we see that every term
greater than 8 must not be congruent to 2 modulo 3, because otherwise
it would give an integer N for (4K-8)/3. Here is a short table of
the expressions that must not be integers for sufficiently large
"prime K" values

-1 -2 -3 -4 -5

1 - (2K-5)/1 (3K-10)/2 ( 4K-17)/ 3 ( 5K-26)/ 4
2 (4K-8)/3 (6K-13)/5 ( 8K-20)/ 7 (10K-29)/ 9
3 (9K-18)/8 (12K-25)/11 (15K-34)/14
4 (16K-32)/15 (20K-41)/19
5 (25K-50)/24

In each case the expression (AK-B)/(A-1) implies that for K values
greater than B we must exclude those such that K = B (mod A-1). In
other words, the sieve excludes every number greater than q = x^2 + y^2
congruent to q mod (xy-1).

*cough*

Guybrush

Nice display of copy and paste skills there, cory

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Something Completely Different

coryallen2

Now you do this...(ahhh)


Given a scalar field j, the Laplace equation in Cartesian coordinates is

coryallen2

(I did'nt feel like typing it) *cough*

okay give me a question and ill answer it

dac

What class do I have to look forward to that will be covering this?

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lucifer_sam

nominal & ordinal differential equations. this concept is actually not that hard to grasp, basically transforms any function into a sine & cosine infinite series. it's still pretty hard to figure out what the series is, but that just goes back to calc II.

and Seltzer, aren't you a comp e major? i expect you'll have to get way more in depth than this. i'm only 12 credits away from a math minor myself, but i'm not exactly looking forward to statistical analysis (or whatever it's called over there).

edit: dac you may not have to take this part. at my school some of the engineering majors only have to cover the first part of the course. likewise i didn't have to take all of calc III.

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first.am

dac

I'm taking the only diff EQ class my school offers in about a month, so I'll come back to this thread around then haha.

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Seltzer

Nah I'm a softeng major but I'm required to do a few computer systems papers. I've heard that the maths in electeng (and comp e) is quite hard and I think it would probably involve a lot of Fourier analysis for signal processing.

Software engineering has very little use for calculus (I pretty much left it behind after my general first year). Instead it relies on pure maths, linear algebra, logic, algorithmics, graph theory and statistics. I'm not really liking the stats I've done so far, but I think it becomes more interesting when mixed with other fields (i.e. combinatorics and stochastics). I am wishing I'd chosen a double major with maths though.

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