Recent content by Emilijo

What about string theory? Will be easy to get this level with those mathematic tools I pointed out to you? I am aware that I will have to study elementary particles, relativity, field theory and stuff, but it doesn t seem difficult if you know mathematics very well. Is that correct? What do you...

Sorry,I m from Europe, In my country, we pure math call theoretical math. So, yes. I study pure math, and there are subjects like differential geometry, metric spaces, topology, projective geometry, advanced algebra and group theory, algebraic number theory, advanced probability theory...

I m first year in theoretical mathematics (graduate study), but I am very interested in theoretical physics, I have some knowledge in physics, general knowledge in mechanics and thermodinamics, electrodynamics, optics, waves, basics in quantum theory, but I am very interested in elementary...

For F(n)=n^2 in my example f(k)=2k-1, because sum_(k=1,to n) (2k-1)= n^2 (wolfram alpha) but what if I had a more complicated function, ex. sin(n)*n^2 Is there some formula to get f(k)? In other words what function I have to sum when k goes from 1 to n to get for example...

I have general function sum_(k=1, to n) f(k) = F(n) ex.) sum_(k=1, to n) k = F(n) solution: F(n) = (1+n)n/2 But If I have inverse problem?: ex.) sum_(k=1, to n) f(k) = n^2 how to get f(k) ? Generaly, If I have F(n), how to get f(k) for sum_(k=1, to n) f(k) = F(n) Is...

How can I get a general function f(m,n) that represents a series of 1 and 0, for example : 1,0,1,0,1,0,1,0...; but also 1,1,0,1,1,0,1,1,0...; 1,1,1,0,1,1,1,0,1... where m is period and n nth number in certain period. In example two: m=3 (...1,1,0...) f(3,4)=1 The function must be...

No, still doesn't calculate it.

What is result of this summation: sum(k=1, to n) sin(n*pi/k) I put it in wolfram alpha but it doesn't give me the solution. Where is the problem?

I found a function: sin(1-cos(x)) But there are only 2 "small" waves on every wave (put the function in wolfram) How to get 3, 4, 5, ... or n "small" waves?

-Your function is not like on the atachment, do you have better idea?

I mean something like that: Can you get a function something like that? (rotate the picture)

Do you know how to get a function (any kind of function) with "small" waves on the top of "big" waves, but for the same amplitude of all small waves?

Can you see now, small waves on the top of big wave are not the same (equal amplitude) {click on the picture to see it better}

In Fourier series we have small waves on the top of big waves (the function seems like that), but the small waves do not have the same amplitude. Does somebody know how to get a function with waves and small waves on the top but with the same amplitude.

I tried and wrote about it above in previous post.