[tonyC4L]

Originally Posted by FeynmanWannabe

Anyone particularly good at abstract algebra?

I got an A when I took it last winter, but it was just the first course in the series of two and I didn't take the second one. I think we stopped just short of learning about rings. I may not be too much help, but if you have a question you should post it anyway and someone can probably answer it.

[LikeSwingSets]

sweet
this thread's getting bookmarked.

[concernedparent]

I love factorials. They always make me laugh during a boring lecture, because it looks funny having an exclamation mark after a number.

[perceptrons]

Originally Posted by concernedparent

I love factorials. They always make me laugh during a boring lecture, because it looks funny having an exclamation mark after a number.

Factorials can be annoying at times, however.

[John JD Dorian]

Originally Posted by concernedparent

I love factorials. They always make me laugh during a boring lecture, because it looks funny having an exclamation mark after a number.

the gamma function is awesome.

[John JD Dorian]

finals time -- someone ought to have a question.

[tonyC4L]

Just finished the last of my math finals today, so no questions from me for a few weeks. Unless someone wants to take a stab at this one from my complex analysis final:

Let f(z) be entire (i.e. analytic on all of C) and let |f(z)| > 1. Prove that f is constant.

My first thought was to use the the theorem that the only bounded entire functions are constant functions (and then be done), but f is not bounded so I didn't know what to do. If only the inequality were the other way...

[tonyC4L]

Apparently nobody likes complex numbers... anyway I think I got an answer to that problem. If f(z) is entire, then so is 1/f(z), and |1/f(z)| < 1, so it is bounded and entire and thus constant. Clearly then f(z) is constant as well.

[Spenny]

Originally Posted by John JD Dorian

If anyone has an interesting math problem to talk about, or needs help with something they're working on, bring it in here!

If you're still interested, I have one.

Express the function in the form (f o g).

You're given g(x) = cuberoot(x/1+x)

[John JD Dorian]

Originally Posted by Spenny

If you're still interested, I have one.

Express the function in the form (f o g).

You're given g(x) = cuberoot(x/1+x)

i'm confused. express what function?

[fishguts182]

anyone here ever taken discrete math or linear algebra?

[Spenny]

Originally Posted by John JD Dorian

i'm confused. express what function?

My bad. It gives you G(x) = cuberoot(x/1+x) and tells you to express it in the form f of g, or f(g(x))

I discovered that all you have to do is give what f(x) and g(x) are, which are f(x) = cuberoot(x) and g(x) = x/1+x

[John JD Dorian]

Originally Posted by fishguts182

anyone here ever taken discrete math or linear algebra?

yeah ask away.

[fishguts182]

Originally Posted by John JD Dorian

yeah ask away.

im gonna be taking them this semester. How tough should these classes be?

[John JD Dorian]

Originally Posted by fishguts182

im gonna be taking them this semester. How tough should these classes be?

what level?