When comparing the two equations, is the version of the Schrodinger equation supposed to be the free particle wave equation (in one dimension)? It would be easier to see the mathematical similarities without the V(x,t)\Psi(x,t) term.

“The New York Times is Not Build for This”

I was about to post exactly the same thing. Better to promote your comment than add my own.

Oddly enough, being ordered to respect someone is not likely to cause me to respect him.

I recall reading somewhere that one of the design elements of the series is to encourage players to take risks. This is why many of the games in the series feature a casino. It is why boss battles can require an element of good luck to win (or over-leveling, I guess). It is the reason that the game isn’t over when the…

My daughter, who is six, loves “The Flash”, but even she said, “Oh, that’s bad.” And then she was upset to find out that she needs to wait until next autumn to find out what happens next.

Zero is a Natural number. One can count zero of something, and this is independent of the number representation. You might not *denote* it with 0, though. Infinity, by contrast, is not even a Real number and instead represents unboundedness.

You’re the reason sitcoms need laugh tracks.

It means the editor started preparing for Daylight Savings by getting drunk an hour (or three) early.

Please fix the DOI links to the journal article. Thanks.

Nonetheless, KnaveOfDiamonds, you did forget to mention what lies behind the defining visual characteristic of the arms of spiral galaxies: millions upon millions of bright, young blue stars, born of that interstellar compression wave, which are responsible for the distinctive hue of spiral arms.

You’re in luck, then, since I happen to be a scientist (but not an astronomer).

The gas and stars in orbit around the center of mass of the galaxy. Just like the Moon is always falling toward the Earth, our solar system and everything else in the galaxy is falling in toward the center. It doesn’t collapse because it all has a high enough speed perpendicular to the force drawing it in that it…

What is the name of the article? Who were the authors?

I just managed to see it yesterday for nearly the same reason.

This article feels a lot more “Gawker Media” than “io9".

Also getting the short shrift? Everyone who isn’t Elmo, Abby, Cookie Monster, or Rosita.

There are iterative numerical methods like gradient descent. In this method you are computing a gradient at some point (but it may be a numerical derivative because you can’t compute the gradient symbolically), and then go in the direction of the gradient for some fraction of its magnitude. Repeat until the gradient…

The problem given is a textbook example of optimization, and the technique of finding the first order conditions for an interior solution (taking the derivative and setting it equal to zero), is probably the first optimization technique students learn.

I believe his befuddlement is about the social rather than technical aspects. Why do people want to use it? Why is it valued in the billions?