Recent content by Swimmingly!

Completely answered my question. Thanks a lot! C^k is the set of functions such that: There exist continuous derivatives of 0th, 1st, 2nd... and kth order. C^1(T) probably means that f is periodic of period 2π or something of the sorts. The number of senseful meanings is not that big.

Hey. I'm looking for a proof of: Theorem: If f \in C^1(\mathbb{T}), then the Fourier series converges to f uniformly (and hence also pointwise.) I have looked around for it, googled, etc, but I only found proofs which used theorem they did not prove. (Or I misunderstood what they said.) I'd...

I tried what you said and changed it to: def F(D,X): A=list(D) print 'D=',D for i in range(0,m): but the output is: X,Z,D= [0, 0, 0, 0, 0, 0] [2, 2, 2, 2, 2, 2] [[0], [1], [2]] D= [[0], [1], [2]] 0 D= [[0, 0, 0, 0], [1], [2]] 0 D= [[0, 0, 0, 0, 0, 0, 1], [1], [2]] 0 D= [[0, 0, 0, 0, 0, 0...

I hope I'm in the right section. This part is not important but this is thought behind the program. If you have n-mathematicians and each has a secret number. How many phone calls have to be made for all mathematicians to know all numbers? In this brute force approach I, hypothesize that you...

How exactly can you always just raise them to a suitable power without creating additional radicals to be solved?

Homework Statement A non-transcendental number is one that's a root of a (non-constant) polynomial with rational coefficients. Does allowing radicals as coefficients, eg: 5√3, 2^(1/3) get us any new different numbers? Homework Equations The Attempt at a Solution 1. In some cases we get no new...

[SIZE="1"]Sorry if my exposition wasn't so good. I had done this when I posted but I was doubtful about something, it seems fine though. I just have to take the derivative applying the product rule: \boldsymbol{L}=\boldsymbol{L}_{CM}+\boldsymbol{L}_{spin}...

Why can the total force exerted on an object be taken as if a single force was applied on the center of mass? I think at most the total force must be the sum of tiny equal forces uniformly distributed. The mass must at most be uniformly distributed too. And this only matters when we start...

Thank you, I didn't know that about latex and I forgot to write dω. ALL INTEGRALS ARE WITH RESPECT TO dω. The problem is still open. If anyone can help here it is better written: \int_{0}^{\infty}\frac{1-cos(\omega t)}{e^{\omega /C}(e^{\omega /T}-1)\omega...

Homework Statement Some friend of mine found this on a book: \int_{0}^{+inf}\frac{1-cos(\omega t)}{e^{\omega /C}(e^{\omega /T}-1)\omega }=ln[\frac{(\frac{T}{C})!}{|(\frac{T}{C}-iTt)!|}] The proof is left for the reader. Homework Equations The Attempt at a Solution First very safe step...

Homework Statement We have n detectives. At the start each has a single unique clue. The aim is for all the n detectives to obtain all the n clues. If detective A knows clue 1 and 33; and B knows, 1, 2 and 4. If A phone calls B they share their clues. i.e. A will know 1, 2, 4 and 33 and B...

Thank you for your answers. I think it completely clears it up. (feel free to add anything if you want of course)

Integral through a path in 2D (or ND) What's the usual "definition"? [Bold letters are vectors. eg: r] We have a scalar function f(r) and a path g(x)=y. I see two ways to reason: (1) The little infinitesimals are summed with the change of x and on the change of y separately. (2) The little...

I tend to stay on math because I find it easier to explore and find new things, but exploring new ground in physics is so damn hard. But the "truths/theorems" that come out of physics tend to be amazingly beautiful. Except I obviously don't expect to be a Maxwell or Einstein. Basically I'm...

I'm studying Physics but I constantly wonder if I should be in Maths? Roughly I only explore math questions/problems. Most of the times I think of physical problems they look like an overwhelming mess which I can hardly address. What I enjoy the most is finding truths, not just "historic" or...