/sci/ - Science & Math

>>12656493
lots of nontrivial solutions for instance (x, y) =
3 14
6 15
6 55
8 129
12 43
12 433
18 731
20 141
24 155
30 179
30 277
probably no chance to find a general parametrisation
a reasonable problem would be: try to find an infinite family of solutions

>>12657134
to begin with, it's not a partial order

>>12536486
take g that's a generator mod p, then [math]1^k + ... + (p-1)^k = 1 + g^k + ... + g^{(p-2)k} [/math], and just use the formula for sum of geometric sequence
your idea is good too

>>12536427
least squares is simply the nicest to manipulate mathematically of all those, so people just went along with it
it's differentiable, you get to express your stuff in terms of euclidean norm/scalar product/matrix multiplication sometimes
even from a CS standpoint, it's good because it's just multiplying and adding so it's the easiest to compute

>>12363543
you can take "left-side limit of a function at 0" or "right-side limit of a function at 0" which leads to notation such as [math]\lim_{x \rightarrow 0^-} f(x) [/math] [math]\lim_{x \rightarrow 0^+} f(x) [/math]
i guess you could call this "negative and positive zero" although it's not really "higher math"

>>12363591
physics and chemistry felt just sad to me in highschool
it's supposedly the science and the appeal is "oooh it's about real world" but let's be serious, i'm never gonna run any of those experiments and never see most of this shit in real world, so it ends up being just symbols on a paper
so if i'm gonna be studying abstract symbols on a paper, i prefer math and cs