Recent content by DrWillVKN

I don't really understand the properties for adding/multiplying dedekind cuts. I get that they're closed, commutative and associative because that follows from the rational numbers (and the cut just partitions a rational number into 2 classes of rationals, plus the "cut" that only contains one...

Interesting thread. Not really related to statistical mechanics, but there are a lot of physics/computer science/biology professors doing research with large data sets, and I was thinking that a good way to get undergrad research was to learn data mining/statistical analysis and try to wiggle...

thanks for the replies, found the answers. i just didn't go far enough with the identities and integration by parts.

Homework Statement I've come across integrals of exponential and trig functions and I have no idea how to do them. Integration by parts doesn't really work because they just derive into either e or another trig function. One of them is \intsin(a)*sin(b - a)da Another is \inte(a)*sin(a)da...

When I'm on the road, I try to maintain a steady 'moderate' driving judgment. When I am entering a roundabout or highway, I go when the cars on the left/right are a good distance away (ie. if I yield and the car is just about to cross my path and I can only cross with a very quick reaction time...

For me, it's all about reading comprehension (not the SAT kind, but it's related) and checking pages and pages of calculations. When I go from one line to the other and plug in variables from other equations, sometimes I would miss variables because I wrote them too small (because the whole...

Personally, I don't see how those people can upset others. If they are at a higher level than I am, I won't be competing with them for the same things; anyways, if I was, it's just one or two people amongst tons of other positions. Just because one person is amazing at one thing doesn't mean the...

Will studying real analysis help with understanding the concepts in abstract algebra (excluding the fact that it improves your proof writing skills)? Or are the concepts completely different?

I have only begun to study mathematics, and the competitions look pretty exciting. I heard the math competition style problems follow a certain style and follow specific heuristics of solving, compared to non competition problems. So what is this 'difference'? Besides the fact that they were...

So the ratio would fit everything on the left and right side in place, and then it comes together when k hits the floor and ceiling, and they're joined by equating them? I'm still confused about how to use the ratio (and for combinatorial proofs in general). I have a hard time doing it by...

Show that if n is a positive integer, then C(n,0) < C(n,1) <...<C(n, floor(n/2)) = C Homework Statement Show that if n is a positive integer, then C(n,0) < C(n,1) <...<C(n, floor(n/2)) = C(n, ceiling(n/2)) > ... > C(n, n) Homework Equations none The Attempt at a Solution Seems pretty...

How do scientists/applied mathematicians interact with modelers? Do they just describe the situation and the programmers get to work immediately? Do they have to write pseudocode for the programmer to translate? Do they formulate algorithms and equations and have the programmer try to simulate...

Similar question that OP asked: I'm doing a joint degree in biochem, so I don't have the room for so many math courses to do pure math. For applied math, are these courses enough? Discrete Math, Linear Algebra I + II, Numerical Analysis, Partial Differential Equations, Applied analysis...

About GPA: So if you have B+/Bs in tons of biology classes that drag your GPA to a 3.2, but you have As in your physics classes and you apply to physics grad school (with some minor interest in biophysics), would they care about your overall GPA and bio classes, or would they focus more on...

So after tons of hours of doing hard problems, trying understanding concepts, and learning formulas, I sat down for 3 midterms last week and found them rather simple. There were no hard questions from the textbook. They were relatively straightforward. I felt like I studied too much. And yet...