870 karma · joined November 8, 2010
The 1, 2, 4, 8 phenomenon surprised 20th-century mathematicians, and derives from weird facts about how S7, S3, and S1 fiber. (fibration is lining one shape with other shapes)
Niles Johnson on Hopf/Milnor fibrations https://nilesjohnson.net/hopf.html
https://www.youtube.com/playlist?list=PL-XzhVrXIVeSVcV9iRJ4S...
https://www.youtube.com/playlist?list=PL-XzhVrXIVeQ298S6uCyo...
http://math.ucr.edu/home/baez/week230.html
https://unapologetic.wordpress.com/category/geometry/root-sy...
http://www.math.harvard.edu/~lurie/papers/thesis.pdf
Beautiful world this author is peeking into. Enjoy.
Hofstadter's Law: It always takes longer than you expect,
even when you take into account Hofstadter's Law.
The best advice I ever got on project-time estimation (from a biology postdoc) was: make your best, most honest best effort, and then double it.When I make projections with a spreadsheet, I have a cell that copies my grand total of all costs and call that copy "unforeseen costs". I always hate bidding that high at the start, but the estimate ends up being close to right surprisingly often.
This article says 30% overruns are common, which is within my former boss' +100% bounds.
The other nice thing about doubling your cost estimate is it prevents you from catching the winner's curse and landing an overly-stingy client. Plus if you really can keep costs within your spec for the project, then you win extra profits. You'll never win that "game" if you don't leave room for error.
No need to talk about distributions, gaussian or otherwise.
http://www.drbunsen.org/explorations-in-unix/
(might have also made it to HN)
It just prints the first `head` line and then random few rows instead of the top few. For me this is nicer than looking at the top 5 lines every time. I'm peeping at different parts of the table and thus gradually getting acquainted with it.
I'm with the commenter (here) who said that real life is more likely to be an initial-value-dependent or path-dependent PDE. Someone else said having a high-IV person on your team will raise the slopes of everyone else which seems also right: the issues are multidimensional, not affine 1-D.
Ousterhout is taking sides (smarter > more experienced) which is fine; he can make that argument. But using y=mx+b as x→∞ doesn't count as an argument; it's rhetorical flair, not rhetorical substance. The substance of his reasoning seems to be "That's my opinion based on my experience in my past jobs".
Whoops—this fable is only true "eventually", if the slopes remain the same as t→∞.
User/pass guessing by crackers can be solved with passphrases. Don't let registrants get by with a crackable password. Then remind us at the login screen that your site wants a passphrase (you can even flash me something that reminds me of the registration prompt if I forget my passphrase).
Also not sure graphs are a "branch" of mathematics, that would be like saying polygons are a "branch" of mathematics. (Branches would be like CA, AT, DG, ... as in http://arxiv.org/list/math/recent.) I see graphs as just a common object that relates to a variety of mathematical areas.
Discrete diff geom: http://mesh.brown.edu/DGP/pdfs/sg06-course01.pdf
Possibly only because of the author.