I seem to recall that in GC 4 it was now possible to specify a range of values in a set as in e.g. [a,f(a)], a \in {m..n} I think I remember seeing examples...
... Looks great! I just used "a" as the slider variable to be able to animate it. And I made tubes out of the edges. ... As I said, amazing work! These are...
Hello, 4D Grapher draws two dimensional pictures of the three dimensional shadows cast by four dimensional geometry. Graph and animate curves, surfaces, and...
Quasi-Spherical Orbits, or QSOs, are the space curves traced by a point rotating simultaneously around two or more axes. They model a number of dynamic...
http://intumath.org/Math/Algebra/Finite%20differences/interpolationand.html has my latest efforts with GC on interpolation. Important for relating difference...
Hi, math fans, I spent a long time getting the nitty-gritty down in a simple case for how the interpolating polynomial through 2 points converges to the...
We can pass any number of terms to this version. We can see the large oscillations at the edges here, which limit the practical uses of this form of...
Had to use a workaround to have indexed derivatives. Interesting that the odd degree determines overlap the even degree terms at the extrema and the inflection...
A short tutorial on direction fields for ODEs with GC4. I found this in the help under Graphing equations, Two dimensions: Here's an elaborate example where I...
Hello, My first foray playing with the notion of online math books is free at http://itunes.apple.com/us/app/conic-sections/id458033479?ls=1&mt=12 to join...
Thanks a lot, Art. Hopefully soon, we'll be able to look at the connection between iterated functions and the Julia and Mandelbrot sets. It may be too much of...
Not to up on the theory of iterated functions, and the color scheme may be a bit misleading, since it's symmetrical with respect to the complex argument, but...
Hello, Pacific Tech 2D Grapher is now on the Mac App Store for 99¢: http://itunes.apple.com/us/app/2d-grapher/id451771111?ls=1&mt=12 Also on the Mac OS X App...
Hello, Data Calculator is now on the Mac App Store for 99¢: http://itunes.apple.com/us/app/data-calculator/id447466761?ls=1&mt=12 This is a subset of Graphing...
Below we see that the general projection, as given by the outer product of two arbitrary vectors, is simply a stretching of an object as it gets flattened. ...
Outer products correspond to what I think we should call "general projections", where rather than having a repeated transformation "stick" to one spot on the...