Pretend you own a printing press and you want to be able to represent any arbitrarily large natural number. You also want to store the fewest possible number of characters in your collection, just to save space. What base, if any, would yield the largest ratio of numbers you can represent to...
When you spend hours and days tediously plugging away at the mathematics of a problem, you lose sight of the actual physics of the problem (in addition to losing sight of what you found interesting about physics in the first place). The problem statements are always innocuous, but as soon as...
Homework Equations
x*cos(Ax) + B*sin(Ax) = 0
Where A and B are nonzero constants.
The Attempt at a Solution
The only value of x where both terms are zero is x=0. All other solutions (presumably an infinite number of them) occur when:
x*cos(Ax) = -B*sin(Ax), x≠0.
This seems...
I had an idea for a project that would make use of a formula for the surface height of a body of water after an object was dropped in it. I wouldn't need a time-dependent equation, just a nice snapshot...although a general equation (a function of x, y, and t) would be nice. I haven't had much...