Recent content by aostraff

Well, Brian Greene has another book named "The Fabric of the Cosmos".

I've lost interest as well, but I think your: \big| \frac{1}{2} - \sqrt{n^2+n}-n \big| < \epsilon should be: \big| \frac{1}{2} - \left( \sqrt{n^2+n}-n \right) \big| < \epsilon

Let's see. You have MATLAB assignments and you refuse to do them on the campus computers and prefer to do them at home...hmmm...I wonder if that means you should buy it.

Elucidis, how do you know it is absolutely impossible to make division by 0 be defined?

You can start by listing the type of things you want to do.

hmmmm. The one you got there looks like it only deals with powers of 2 even if you did prove it by induction. Let's get the definitions sorted first. A positive matrix is a matrix with all its elements >0 right? The idea behind induction is that you want to prove a base case. This is just...

The thing is that Q under the operation of multiplication is not a group, so you won't be able to prove it is a group. But consider Q* (rationals without 0). Without showing fractions explicitly, I'm not sure how you can show rational numbers are closed under multiplication.

Ah, my bad. I forgot that the set of rational numbers under multiplication is only a group if 0 isn't included. So Q isn't a group under multiplication but Q* is (Q* is convention for the rationals without 0). This is because 0 has no inverse in the rational numbers. Also to be a bit more...

I'm going to assume your Q represents the field of rational numbers. The binary operation you have seems to be multiplication of rational numbers. So to test the 3 properties, you use arbitrary rational numbers and show that the operation is associative, there exists another element that is...

I'm not too sure about what you mean by all row-sum and all column-sum are equal. Does this mean every row has the same sum and every column has the same sum? If so, I don't think your last 3 matrices work. But if you meant the sum of row i = sum of column i, then I think I can help you on...

In terms of knowing exactly what you want to do right now is a going to be a hard thing to confirm right now, and it's perfectly fine to question your ability to be able to achieve what your ultimate goals. Everyone does it. Sometimes, especially when you have not been exposed to the subject...

You realize grad school is pretty much all about research? But if you really need to, you could make a thread where we talk about how much we hate research but still want to go to grad school.

Well, here are some other non-obvious things you might want consider before making up your mind of completing university in 2 years. - The course offerings for your program might not always be available to you since it is usually set up for the regular 4 year plan. This could be quite...

I'm going to be in my sophomore year soon as well and I'm currently doing an internship right now. I won't be able to tell you about how grad schools look at this, but I can share some of my thoughts on it. I don't think you need worry about the name of whatever you're doing at all. As long as...

Why does a grant proposal have to involve a large sum of money? But to answer your question there are other factors I can think of such as paying other people, purchasing software and hardware.