/sci/ - Science & Math

>>10935942
It wasn't too hard to see that the sequence is

[math] \dfrac {4} {5} \drac{1} {(-1)^{-n} (2 n+1)-1} [/math]

Also I saw a formula for pi*cot(pi*x) on Wikipedia as a series, but it's one involving n^2.

>>9732089
Not really, though.
Something which recursively depends on the last execution like

int n = 0;
for(int i = 1; i <= 10; i++)
n = n * i;

isn't captured by \forall but can be realized with a fixed point Y. Of course, I'm aware that I already let the distrinction between math and language theory slide - as it should - and the functional programming concepts just happen to have better semantics. We'd want to look at something with for loops, like C, and construct e.g.

https://en.wikipedia.org/wiki/Denotational_semantics

But I'm not sure if that works with procedural languages. ML (where Haskell is derived from) has formal semantics, so that's the closest I could get OP.

Can't really compare.
Sex is a drive that always comes back - pleasure as well as burden. You fuck. You fuck a girl for 3 weeks. Then it's meh. Sometimes you just wanna fap. When you cum, more often than not, you feel like you wasted your time. But being horny is also fun and touching a woman is a good and refreshing, and relieving feel. It can be intense.
Math can give you the chills, but you have to work really hard for those aha moment. With math I can forget the time and start reading and solving problems and then find it's been 5 hours. You also know you work towards something, everything you learn adds.
Sex doesn't add, it is over each time it's over and then you don't want it for some time and then at the very least a few days later, the sexual urge comes back and it can be good or bad.
In the end, I'd say math is more important to me - but then again I don't know what being without a sex drive feels like. Might be that without this low drive you realize the pointlessness of live or something.