830 karma · joined December 24, 2010
Blog: https://diffxweyl.wordpress.com/
Github: https://github.com/fferen
E-mail: kyh@berkeley.edu
https://en.wikipedia.org/wiki/Time_dilation#Simple_inference
In the hypothetical party scenario, you could demonstrate with your hands or some objects as mirrors.
Not the most satisfying answer, but if relativity was super intuitive, I probably wouldn't have written this book :)
I guess a global object in spacetime analogous to a sphere in space is the hyperboloid t^2 - x^2 = r^2. Moving on this hyperboloid corresponds to changing boost velocity. But unlike a sphere, it is not closed, so moving in one direction does not get you back to the same point.
May add to this answer later.
Not acceptable, Mr Stockfish!
Actually, the King's Gambit has been (essentially) solved: https://en.chessbase.com/post/rajlich-busting-the-king-s-gam...
There is only one move that doesn't lose by force after 2. ... exf4, and that is the strange-looking 3. Be2. Does that mean this opening is a "mistake"? Well, maybe not, obviously a human wouldn't know the perfect lines, but personally I wouldn't play it :)
Either way, I'll certainly be using this feature a lot. Kudos to the folks at Lichess.
- A lens acts as a Fourier transform on an optical signal.
- d/dx is multiplication by ik in the frequency domain.
- They made a spatial reflection profile r(x) ~ ix using an array of nanobricks of different sizes (optimized with simulation)
- Optical signal -> lens -> reflection from metasurface -> lens = spatial derivative.
I have the paper if anyone wants it and doesn't have access.
Hope this helps, not sure if it's over/under your level.
[1]: http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-...
[2]: http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/...
[3]: http://www.math.cornell.edu/~sjamaar/papers/manifold.pdf
For example, I tried to make friends in the first week of college by talking to random people. I joined some clubs and went to events. This completely failed, I didn't click with anyone; these kinds of things didn't fit with my personality. All of my current friends I've met serendipitously. And, because I stopped caring so much about it, I think I have much better social skills now.
Kind of fits with the Daoist philosophy of wu wei: http://en.wikipedia.org/wiki/Wu_wei
EDIT: hah, looks like someone else made the same connection :D