Recent content by prane

So everyone knows the speed of light is a universal constant. However in many phenomena involving light it is useful to think that light is 'slowing down' like light travels slower in glass/ water then it does in a vacuum. How can this be if it is a universal constant?

Some good suggestions here but thought about most of them already :p. For the first example, We only have convergence for all |x|<1 and not equal to 0 right?

cheers

What do you mean by the measure of an angle? I don't really follow your argument

I have a very boring summer job to earn some money and often find myself passing the time with thoughts of science (mainly physics) and maths. I would really appreciated it if you shared with me some cool questions/topics to think about to help me escape the boredom of putting shopping...

Consider a circle of diameter d. Inscribe a triangle within the circle so that the triangle has hypotenuse d. Prove that this triangle is always right angled. If we define the 3 points on the circumference of the circle that define the triangle as A B and C such that |AC| = d then we...

I've heard before that the process involves determining the eigenvalues of a system of a equation in the form of a matrix but I know very little about what actually goes on and I was hoping somebody could enlighten me.

cheers

I know there is a difference between heat and temperature as once I was told what it is. I remember it being very subtle and that's probably why I cannot remember the details anymore. Would anybody be so kind as to refresh my memory?

So you're saying all EM radiation can be thought of as radiowaves? The energies of the waves are then responsible for the different observable effects due to the wavelength being of a size comparable to the thing it is interacting with. Are you also saying that the particle responsible for this...

All electromangtic radiation comes under one continuous spectrum. http://en.wikipedia.org/wiki/File:Electromagnetic-Spectrum.png Different wavelengths of this radiation has different properties which is very evident in real life. However the whole concept remains extremely mysterious to...

that's a shame you never get into it. It is hugely expensive but it's, in my opinion, one of the most rewarding past times out there

My question though is, how do we know that this pattern continues for n greater than 3? If it's just defined to be that then I can kind of see why but is there any 'proof'? This result surely cannot be proven by induction?

Just wondering if anyone else here enjoys producing music? I produce electronic music, using Apple's Logic, some of which can be found here. http://soundcloud.com/prane/everythings-mirrors Also in a prog rock band :)

Yeh the result can be proven by Pythagorus in 2 and 3 dimensions but what about n?