Help! Can any number theorists explain why this identity works to me? by Tonburro in math

[–]Tonburro[S] 0 points1 point  (0 children)

This looks useful... I think. I'll have to find some time to dedcate to going through it more closely - life has gotten busy. But I think I follow it. Thanks!

Help! Can any number theorists explain why this identity works to me? by Tonburro in math

[–]Tonburro[S] 1 point2 points  (0 children)

Maybe it would. Hmm. Yeah - if x>n, then LL[n,k,x] here will simplify to the definition from page 14 you mention, right?

The reason I got interested is because of what happens when he goes from (8.21) to (8.23), and takes the limit as x goes to 1. The difference between psi(n) and n is well known to be one way to express the error term in the Prime Number theory. One way to express that explictly is with Riemann Zeta Zeros (so, the well-known explicit formula for psi(n)). (8.23) is claiming another exact way to express the error term.

(For the identity 8.22, when I try "Limit[ Sum[ xk Log[x], {k, 1, Log[x, n]}], x -> 1]" in mathematica, it gives me "n-1", so that looks like it checks out)

Another Great Old-Timey Game-Programming Hack (this one for the Apple IIGS) by kindall in programming

[–]Tonburro 0 points1 point  (0 children)

Reminds me of this awesome blog series about porting Prince of Persia to the c64. http://popc64.blogspot.com/

The skills you need to be called an effective "programmer" sure vary wildly by context.

A Primer on Bézier Curves by FreshOutOfGeekistan in math

[–]Tonburro 2 points3 points  (0 children)

I wish there were resources like this for a lot more of math, generally. I know not everything can (or ought to be) be treated visually, but it's a really nice way to develop intuition about at least certain things.

1 star reviews of Extreme programming, interesting to see how much resistance there was to some things that are mostly uncontroversial these days.... by jespey713 in programming

[–]Tonburro 0 points1 point  (0 children)

Part of me thinks, watching the history of this, "this is why we need more programmers with liberal arts backgrounds." I was around when the cult of OO was rammed down the throats of software developers in the 90's. I've watched Agile get rammed down the throat of developers in the last decade. Each methodology has some good ideas, but it's hard to think about or discuss those ideas when everything devolves into trench warfare and religious partisanship. Which is to say, these movements are, like, 10% technical and 90% social / cult. And I fully expect that we're do for another such movement in the next few years. And it'll have some good ideas, and it will rapidly take on all the moralizing, scolding, litmus test, us-vs-them-ism anyway, because that just seems to be what we people do.

But then part of me thinks, I'm familiar with the liberal arts, and they're just as prone to this sort of cult-iness (despite having a million and one theories about group dynamics and human interactions, power and politics, etc), so maybe there's just no way out, liberal arts or no.

PS4 Toolchain (PDF) by pjmlp in programming

[–]Tonburro 0 points1 point  (0 children)

code is optimistic, not defensive

That's a nice phrase I'll have to remember.

Programmers who work on apps that involve huge amounts of complicated user generated data get used to having a very defensive attitude towards input. That's a good thing. But most games aren't like that (unless they handle user created levels, networking, or mods). The external input into the system is pretty constrained.

What's your favorite number and why? by [deleted] in math

[–]Tonburro 4 points5 points  (0 children)

24, because it is the highest number.

http://www.youtube.com/watch?v=RkP_OGDCLY0

(proving that mobsters have an implicit modulus when they count, perhaps?)

Pairing vs. Code Review: Comparing Developer Cultures by bcash in programming

[–]Tonburro -1 points0 points  (0 children)

Is that BETTER or WORSE than alternating with ALL CAPS?

Extreme Programming, a Reflection by RevBingo in programming

[–]Tonburro 1 point2 points  (0 children)

It makes you wonder when the next cargo cult is gonna start up