Recent content by Ric-Veda

Assume that f is a continuous, real-valued function defined on a metric space X. If {xn} is a sequence in X converging to x, prove that Limn→∞f(xn) = f(x). Here is my attempt, but I am not sure if it is correct.

Ok, here is one example. Take two metrics d1 and d2 Would these two metrics be equivalent?

Well I'm taking Advanced Calculus 1, so it's only topological concepts of metric spaces and not a whole lot on topological spaces in general.

My professor never really went over this concept clearly in Advanced Calculus. The definition of an equivalent metric from my lecture slides: Two metrics: d1 and d2 on a metric space X are called equivalent when there exists M >= 1 such that M-1d1(x,y) <= d2(x,y) <= Md2(x,y) I am trying to...

Just a question, do all universities require students (especially math majors) to take an intro to mathematical proof class in order to take advanced, proof based math classes?

These courses are at two different colleges that I plan on going to (whichever picks me). I think that discrete math is more relevant for Computer Scientists and the other for Math majors. But both look similar (for the bridge to advance math course, it does teach you to write proofs, something...

Hi, I am currently an undergraduate student and I plan on taking advanced math courses such as Abstract Algebra, Real Analysis, Complex Analysis, etc. There are two courses which I think could help me prepare for the courses above as they are proof intensive: discrete math and bridge to advance...

I haven't really went deep into physics because I just started Physics, but definitely plan on taking more advanced physics courses, but from what I researched, people divide physics into experimental and theoretical, the latter being more math. Also, from what I heard, physicists are not...

Thanks for your reply. So essentially a proof based Linear Algebra course would be the same level of difficulty as an Abstract Algebra and the proofs, though different, are not so difficult. As for physics, I would think proof based math classes like Abstract Algebra are not that useful in...

I know both are different courses, but what I mean is, will a proof based Linear Algebra course be similar to an Abstract Algebra course in terms of difficulty and proofs, or are the proofs similar? Someone told me that there isn't that much difference between the proofs in Linear or Abstract...

Ok maybe every chemistry course uses it. For my organic chemistry class, I just needed to know a few elements, electronegativity, and atomic numbers, but other than that, there was no use of the periodic table. Gen Chem II, It was the same thing. but we never looked at the periodic table. I...

So far, I have taken General Chemistry I and II, and Organic Chemistry I. Out of these classes, only General Chemistry I seems to make use of the periodic table, but it is mostly just going through the basics of the periodc table. Not so much in Gen Chem II or Orgo I. I mean they give it to you...

But I want to know the whole step. Do I get the values by just looking at their domains from their graphs?

Just a quick question, I was solving sin(x)=0 and cos(x)=0. I was trying hard to find out the solutions and the solutions were: for sin(x)=0------>x=0, pi, 2pi for cos(x)=0-------->x=pi/2, 3pi/2 But my question is why are those the solutions?

Homework Statement Solve Laplace Transform L{tsin(2t)sin(5t)} Homework Equations cos(bt)=s/s^2+b^2 trig identity (product identity): sin(a)sin(b)=1/2[cos(a-b)-cos(a+b) t^nf(t)=(-1)^nd^n/ds^nF(S) (the template is complicated for me to use. Srry for the inconvinience) The Attempt at a Solution...