Recent content by basik156

Applied to: UC Boulder REU Rice Quantum Institute REU RISE Germany-Us exchange program Rochester REU William and Mary REU Univ of Washington REU Haven't heard back from anyone yet

Hello. Are you familiar with the idea of birefringence and the propagation of light in anisotropic media? For example if we take a crystal of calcite the two polarization states of the light will experience a different index of refraction due to the structure of the crystal provided the beam is...

I should've erased that part before I sent that last message. Thanks so much for your guidance!

When I claim n is odd haven't I taken care of all of those cases?

I must be missing something big because I can't seem to show that x+1 would be a factor. I do know that any polynomial that has a zero at say x=k has a factor of (x-k). So if x^(2k+1)+1 and by inspection , when x=-1 we have -1^n +1 where n is odd so -1^n+1 always equals zero. Thus x=-1 is a...

I understand your first two questions, so I think to answer the third I need to use prime factorization, which is what I am working on now

If I were able to prove that 10^n +1 has any proper divisor less than √10^n+1 then I have shown the claim. How to do this is where I'm at a wall...

Homework Statement Show that infinitely many of the numbers 11, 101, 1001, 10001, 100001,... are composite Homework Equations The Attempt at a Solution So by inspecting these numbers, I notice that 11, 1001, 100001 are all divisible by 11. The numbers can be represented at 10^{n}+1 and...

For calculating the force on a continuous charge distribution due to another continuous charge distribution, if F=kdqdq'/r^2 would you simply integrate first over dq' and then dq?