141 karma · joined April 21, 2011
(Caveat, EE turned software engineer ranting)
We can extend this idea easily into 2 dimensions, now we have two axes each consisting of two points along perpendicular lines. Enumerated the points are [0,0], [0,1], [1,0], [1,1] and as you can see there are four of them.
It should also be pretty easy to see that if we extend this further into 3 dimensions that you once again double the number of points in your space to 8. You can see this by starting to enumerate them in the same way: [0,0,0], [0,0,1], [0,1,0], [0,1,1], [1,0,0]...[1,1,1]
From this it should follow that if you extend the problem into n-dimensions you end up with 2^n different points in your search space. If n is a small number, say 30 it's still possible to do an exhaustive search with a computer since 2^30 ~ 10^9 but soon you run out of resources regardless of how much money you're throwing at the problem.
This is the heart of the curse of dimensionality, starting with stupidly easy problems in one dimension quickly gets you in trouble when you want to extend it. This is not to say that we can NEVER deal with high-dimensional problems, two wonderful areas where we are VERY good at solving problems are linear programming and quadratic programming, in the former problems with hundreds of thousands of dimensions are feasible and thousands of dimensions in the case of the latter.
It's been posted before but Jordan, the creator of both Karateka and Prince of Persia, has a wonderful series of journals documenting his travails with video games and the movie industry. [2] As part of this he has a detailed description of his trek out to California and a lot of details on technical obstacles that make you thankful to live in the second decade of the third millennium.
[1] http://jordanmechner.com/wp-content/uploads/1989/10/popsourc...
This is neat stuff in general but sometimes I think people oversell the utility of structured forests of nanomaterials. There are even startups promising the sky based on nanostructured silicon. [2]
It would have been fun to take part but I think the poor guys are swamped.
There was a comment on the same level as this one referring to flattr.com which seems to be one attempt at a micropayment system. Does anyone have experience with this service or failing that an idea why that comment got absolutely buried under downvotes?
I think this has inspired me to start a wall of shame for mobile device sites!
On a more serious note I'm a true believer in RISK capital. Once your company is actually profitable it seems like a great idea to ensure that you do a bit of R&D in-house.
Worst case scenario you get a nice blurb somewhere about keeping corporate research alive, best case you invent something ridiculously cool.
http://hacks.mozilla.org/2011/09/firefox-7-is-lean-and-fast/
I would request a fix but I can't find a contact on that page and I don't feel like creating another account for their bugfix system right now.
Once you have your key of identification implanted you just created a seriously disturbing incentive for someone (without a reader to clone your RFID) to do you grievous harm when they simply want to steal your stuff.
It probably won't happen to you or many other people but it's enough of a concern that I'll put up with the occasional misplaced key instead.
tl;dr I'd love to hack your tattoo and get in your front door.
I guess you could use a scheme similar to Cassini where you're doing multiple gravity assist swings off anything at all to get every last erg of thrust but my gut feeling is that you're not gaining much relative to the delta v needed for your complete voyage.
It would make for a fun app though. Design your own Interstellar Mission!