legends2k
Reputation
Next privilege 250 Rep.
 Feb5 comment Why is a circle 1-dimensional? it's talking about the parameters needed to specify a point on the circle. [...] That's different from what's needed to describe a circle itself. A circle spans two dimensions, but a single point on it can be described with a single value. Cleared it up for me! Dec20 awarded Constituent Dec16 awarded Caucus Oct29 comment What's the parametric equation for the general form of an ellipse rotated by any amount? +1 love your pedagogy (clear, step-by-step workout)! Oct27 revised What's the parametric equation for the general form of an ellipse rotated by any amount? fixed title Oct27 suggested approved edit on What's the parametric equation for the general form of an ellipse rotated by any amount? May21 comment How do I sell out with abstract algebra? Agreed that pre-written libraries such as GLM (a linear algebra library for OpenGL) exist so that programmers use them without knowing the required linear algebra, those who know it are always in demand, else you wouldn't have questions like this, this or this; +1 to @AlexR. May21 awarded Commentator May21 comment How do I sell out with abstract algebra? @bubba: I'm a professional software engineer working in graphics domain. I constantly use Direct3D (the part of DirectX which has graphics-related code) and OpenGL. Most code dealing with linear algebra is hand-written by programmers for their application. Also, there're lot of domains in CS where linear algebra is vital. Computer vision (OpenCV), parallel computing (OpenCL), graphics/game/simulation engines (OpenGL), speech recognition, bioinformatics, etc. to name a few. See this for a the complete list. May9 comment Why does aliasing cause loss of a degree of freedom in Euler angles? This answer nicely puts it: "Euler Angles" you can think of as a function (S1)3→SO3 or R3→SO3. The derivative of this function does not always have rank 3, so you have degenerate submanifolds where the function is many-to-one. In this special case that's called "gimbal lock". Since in Euler angles multiple values represent the same orientation (aliasing) the mapping isn't one to one, so we've no way to distinguish/record the variation in one degree since the rank becomes less then 3. Apr9 comment Which number is larger and Why? 1.7 or 1.73205 +1 on my defence, I thought the OP was confused only about real numbers and is probably comfortable handling integers :) Apr9 comment Which number is larger and Why? 1.7 or 1.73205 @bdesham: You mean at a lesser level or...? Apr9 revised Which number is larger and Why? 1.7 or 1.73205 fixed formatting Apr9 answered Which number is larger and Why? 1.7 or 1.73205 Mar27 awarded Teacher Mar27 revised “Simple” beautiful math proof fixed formatting Mar27 answered “Simple” beautiful math proof Feb4 awarded Informed Jan6 comment How do I get the square root of a complex number? @Did Thanks for clearing that up, I was getting confused for sometime looking at it. Dec9 revised How do we know $p/q$ can be expressed as a terminating fraction in base $B$ only if prime factors of $q$ are prime factors of $B$? Fixed typo