I'm developing a 2-dimensional physics simulator (it includes gravity, electric force, and collisions as of now, between spherical objects of varying masses, charges, and radii). I'm trying to improve my collision algorithm, though, and I'm not sure how to handle coefficients of restitution...
The Earth is not a perfect sphere, so the distance from the center of mass of the Earth to a point on its surface is not the same for all points. So, what point on the Earth's surface has the shortest distance to the center of mass--what point is "directly above" the center? All sorts of...
Yes; however, just as in two-dimensional representations of three-dimensional objects, you can only see one view of the object. Also, because we have no experience with four-dimensional objects and because our eyes are limited to a planar visionscape, it would be much more difficult to...
Yes, I assume that mine is not any sort of a breakthrough. I lack any software to run it efficiently, though, so I really can't test to see how fast it does run.
I have a formula for the nth prime, as well (actually, I have a formula for the product series of all primes 1 through \pi (w)...
Mm... Well, the functions utilized within the larger function are easily computable (what I meant in saying so before was only that I haven't utilized any difficult functions that are defined by an algorithm and not a formula, and that everything I've done is "easily" computable, not...
Prime counting function-- no error.
I have developed a prime counting function with no error; it returns the exact number of primes equal to or less than any number one chooses.
I am rather ignorant of progress in this field... Has this been done before? Please, ignore any skepticism you...