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| The videos (https://www.youtube.com/watch?v=w-I6XTVZXww and https://www.youtube.com/watch?v=E-d9mgo8FGk) somehow manage to avoid telling... |
| Thankfully rare stumbling block in Mathematica: you can insert invisible operators in equations. I think I managed to find a shortcut for invisible addition (or something similar) once, and scratched my head for half and hour trying to understand... |
| The same result as Luca M gave can also be accomplished leaving more thinking to Mathematica, using Boole, which allows defining region of integration through inequalities: [mcode]Integrate[Boole[x^2 + y^2 + z^2 a/2], {y, -Infinity, Infinity},... |
| @Vitaliy: I think I was playing with stuff, such as Ulam's spiral and Archimedean spiral, which are known to exhibit patterns with primes, which is of course easy to visualize. Then I was just checking how Fermat's spiral - along with sunflower-like... |
| Also, it's possible to write custom import and export converters that work directly with Import and Export commands. If you want to go to this depth, see... |
| You probably want this: Nest[#^2 + b &, x, 2] // Expand (* b + b^2 + 2 b x^2 + x^4 *)Firstly note the order of arguments; function, initial argument for the function, and nesting depth. Secondly, Not the construction used for... |
| On the first start of Mathematica 9.0.1.0 on OS X 10.9, it requested installing (new? specific?) version of Java, and I did it. After that, it just worked. |
| Pedantically speaking, you want the following (note that Sin[x]/x really has a discontinuity at x=0, but Sinc[x] doesn't): Integrate[Sinc[x]^2, {x, -Infinity, Infinity}] (* Pi *)This also works, but technically it's not the same:... |
| Seems like a bug to me. Sum[Floor[2^-p], {p, 0, Infinity}] (* 0 *) Sum[Floor[2^-p], {p, #, Infinity}] & /@ {-1, 0, 1} (* {3, 0, 0} *) Strangely enough, this works: [mcode]Sum[Floor[2^-p], {p, {-1, 0, 1}, Infinity}] (* {3, 1, 0}... |
| Dollar-prefix as a convention to mark constants is a new thing to me; good to know. |