/sci/ - Science & Math

>>6413337
Forgot pic

This guy.

>Britfags vs Frenchfags
Le Cauchy face.

Got some math insults?
Cauchy: "You've got an analytical mind."
∮(your mind)dz = 0

>>5347509

mah man cauchy over here might disagree with you

How do I evaluate integral of (1+(cosx)^2)^(1/2)?

I am trying to prove that the set O = { A subset X | ~X\A = X\A}

Should be read the set O equals the set of A's that are subsets of X such that tilde(X\A) = X\A. Tilde is the closure operator in this case.

The only thing I am having trouble proving is that the arbitrary union of sets is open given this topology O.

So far, I have stated that since ~(X\A) = X\A, the set X\A must be closed. Since it is closed it must be equal to the intersection of closed sets.

I know that the point I want to get to is that it is composed of the arbitrary union of closed sets that way I can say thus A is composed of the arbitrary union of open of open sets is open. I know that the intersection(X\A) = X\(U A).

Anyone can helpz? Please help a retard out!

Hello, /sci/

>babby's precalculus

I was wondering if someone could explain to me, in a simple and concise manner, what a limit within mathematics and calculus actually is.

Thank you.

Hello, /sci/

>babby's precalculus

I was wondering if someone could explain to me, in a simple and concise manner, what a limit within mathematics and caluculus actually is.

Thank you.

A+ in intro to analysis;
Linear Algebra/Matrix theory exam tomorrow.

Been reading about group theory and symmetry.
Hoping to study a lot over break.

Taking Analysis I: single variable calc next semester and
introduction to topology.

I love math! If I can manage to get into grad school my life will be complete!

Cauchy sequences and series/ cauchy-contractive test for compactness were fun!

Analysis problems thread. Post only the most challanging. First fine picture of Cauchy then first fine problem.

Pic related.

Monoacidic, monobasic?

strong / weak acids?

INSUFFICIENT DATA FOR MEANINGFUL REPLY

hey i never took history 1950- courses.. but i was wondering..

have anyone been in a class that mentions all the bullshit the US has done overseas?? do they mention something about the jews??

The differences that I considered important when I was studying it myself were these:

1.) You have to put up with vectors. This means you ain't got a normal single-variable derivative, you need an entire vector to know how the function grows. This vector is called a gradient and is composed of the so-called partial derivatives - derivatives with respect to different variables calculated as if the others are constants.
2.) Elementary geometry comes once again. It finds uses in calculating multivariate integrals. For a single variable integral, the geometry is quite simple, but in spaces of larger dimensions - shit happens. And you actually have put up with n-dimensional space. Later, in functional analysis the number of dimensions naturally (yes, I like the way it sounds) becomes infinite (and even innumerable - consider the space of continuous functions).
Basically the degree of measure theory required to construct even the conventional Riemann integral is higher.

Ah, and the last. If you still don't know neither Taylor series (btw, do you know numerical series?) nor integration by parts then I've got bad (sad?) news for ye. They are almost ubiqitous everywhere, from field theory to complex analysis. But they aren't too complex. As one of my teachers used to say, "to know is to get used to".

Also, calibrate your detector if you've got any. I'm Russian, fresh B.S. in mathematics. Ask your questions.

Reading Euler's Algebra - Question for you guys.

Why does -x * -x = x^2 (i.e. neg * neg = pos)