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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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*

coryallen2

Now you do this...(ahhh)


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

Guybrush

Nice display of copy and paste skills there, cory

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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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Seltzer

We've briefly covered Fourier transforms for modelling signals in computer networking, and I imagine I'll encounter them in more detail later on when doing graphical stuff. They're very useful.


And Cory, here's a nice challenge for you with a deceptively simple solution:

Prove that any natural number can be written as 2^i * n where n is odd.

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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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savannah

wtf

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all that time, wasted
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