Recent content by Sisplat

Sometimes they are written with a double underline. This is merely a convention though and there are going to be many others. Write them how you like, so long as you define your notation clearly. If you want to, you can learn Einstein notation, which is a much more elegant way to notate...

Firstly, 8*7*2 is not equal to 128. My calculation is: Firstly for numbers ending in 0, 9*8 possible ways of choosing 2 digits. For numbers ending in 5, 8*7, since we want to exclude 0 9*8 + 8*7 = 128.

Hello, http://en.wikipedia.org/wiki/Geometric_progression The series you have is a geometric progression, follow the derivation for the sum of a geometric progression on the wikipedia page. Once you have derived the sum take the limit as n goes to infinity. If this is a/(1 - r), or...

If you did it in the absence of gravity, they would have the same kinetic energy. You would also have trouble defining the term horizontal. If you do your experiment on Earth the problem is different. Initially, at the exact moment you throw the two balls, they would have the same kinetic...

if you multiply out the brackets inside the square root, you will find that they are in fact the eigenvalues of the L+ and L- operators. Remember that L+|l,m2> = Eigenvalue*|l,m2+1> Once you have operated with L+ on the left hand side you can move the eigenvalue out to the front as it is...

The kinetic energy formula depends only of v.v (the length of the vector v squared). Obviously the length of a vector doesn't depend on its direction. It doesn't matter what direction you run in, you use up the same amount of energy*. * in a very idealized sports hall.

http://en.wikipedia.org/wiki/Adiabatic_process The section Titled "Derivation of Discrete Formula" has all of the equations you should need to derive a law. Remember that the ratio of specific heat capacities of a mono-atomic ideal gas is related to the number of degrees of freedom...

Perhaps the solution takes into account the leap year?

Hello Jpc, In the case that i = 2, (x*y)*(x*y) = x*x*y*y by associativity: x*(y*x)*y = x*(x*y)*y and then just left and right multiply by x inverse and y inverse respectively. This proves that G is Abelian, since we have shown * to be commutative. If you want to show this...