Recent content by happysauce

Ah that makes sense. I actually fixed it by just making another project with variables instead. So now I have a projected name introduction and a project named variables. My question now is, can I have two different codes in a project using no main function, like name one of them function_one...

So I just started teaching myself C++ using visual studio 2010. I started with a nice easy program. First thing I did was created a new project called "Tutorial." Under source files I right clicked and selected add -> new item, I named it Introduction.cpp. I created this: #include...

Hello. I plan on doing independent study on the Stochastic Process and time series models. I have already learned two semesters worth of statistics (Mathematical Statistics and Applications by Wackerly, Mendenhall and Scheaffer). And I have taken a semester of multiple regression models. I...

I think you made a mistake on the second one. C1 ends at -i but C2 starts you at -i + j

Small things like discontinuous functions would cause it to fail, if the contour isn't closed then it will most likely fail, if the contour is too complicated (it overlaps) then it will probably fail.

For the second one you can do in 1 step. Factor it then apply the definition of e^x and you get 1/e * e = 1.

You know that the sequence is positive, if you show that the sequence is bounded by another sequence and that bounded sequence approaches 0, then you can deduce that your original sequence is 0. Similar concept to squeeze theorem.

Greens theorem is strict, the relation is true with a simple CLOSED contour but not in general. Take the line integral of a contour that isn't closed or simple and greens theorem will fail.

All you have to do is show that a_{n} ≥ a_{n+1}

Actually for the third one you don't need the definition of e. 0≤n^{n}/(3+n)^{n+1}≤ ?? which approaches 0.

That's what I tried. I took the product of the integrals and expressed them as a product of two sums [\suma_{i}u(E_{i}) ][\sumb_{j}v(E_{j})], one summed n parts the other summed m parts. Then I noticed that the product created a sum of n×m rectangles and I was able to express it in terms of...

Homework Statement I just have a question about the integral of a product space. How do I define the integral of product spaces in terms of characteristic functions? What I mean by that is, if I have a measure space, (X,M,u) and f(x) is a positive, simple, measurable function. Then ∫f...

Homework Statement I have a lot of questions that ask me to prove certain functions are measureable. For example I have to show that given f:X→ ℝ is M - measurable and g:Y→ ℝ is N - measurable implies that fg is M×N measurable. Another is prove that f = {1 when x=y, 0 else} is...

I figured out why there is an n for every δ. So I figured out both parts of the hint, but I still have no clue how to make these hints help me here. Do I have to show that inf {\int_{B_{n}\cap E}f d\mu, E\inM, \mu (B_{n}\cap E)≥α-δ} > 0 for each n? And then as n-> infinity we have the...

The title is misleading, I thought it related to uniformly intagrable but I don't think it does.