@Faust yeah but I mean you don't have to think about the term by term adding. It just does it. If it were my head, I'd probably give it some large numbers to try and see what might happen. I'd be especially curious if it has overflow or underflow errors.
@Jasper excelling in math is a skill that is obtained through practice. Raw brainpower has no help there. So that's no surprise for me. I hate raw arithmetic.
ive been with it for a long time (realized when i was a kid) in that time through numerous classes of math physics etc ive never know it to be incorrect
@Typhon I think other than practice it also requires some talent. I don't agree that genius is 99 per cent perspiration and 1 per cent inspiration. Maybe more like 50 50.
@Jasper true, but pure raw computing power is irrelevant. Otherwise computers would be solving proofs with little to no difficulty. Even the most simple integrals allude them at times. Humans still beat computers cause we have the ability to actually think about problems
@Typhon basically it can do anything i can do just better and faster but i cant control it just like 10-15% of the time it says the answer is "dah dah dah etc" with no proof
@Faust It's probable (but I'm no biologist) that the firings not going into your train of thought are going towards a pretty decent computational engine
@Semiclassical floor within an antiderivative can sorta be rephrased as a "functional equation" requiring you to find a continuous function satisfying certain qualifications.
@Semiclassical fair enough, but if you have a table of ways to solve functional equations of that type and especially a table dealing with e^(f(x,floor(x))) type things then you basically solve all linear homogenous diff. eq. with piecewise constant coefficients.
@Semiclassical changing coordinates was what was going wrong with the 3d renderer i have to help fix up for my senior design. So... that bit of inspiration was quite helpful
