Having the traditional underscore character, _, would be a huge help, as would being able to have subscripted slider variables. Couldn't the bar for complex...
1795
Christopher Young
c56young
Jul 5, 2011 6:36 am
Note that, associating this differently, we have the more common formula involving the dot product: The normalized matrix projects any vector onto the line OA....
1796
Christopher Young
c56young
Jul 8, 2011 6:31 pm
Haven't put in the labels for the other two sign components yet, but I think the following contains all the makings for a proof that the outer product always...
1797
Christopher Young
c56young
Jul 8, 2011 10:09 pm
For matrices, use the Math menu with the shift key held down as shown below, or use the keyboard shortcuts Shift-Control-2 for a 2x2 matrix, Shift-Control-3...
1798
Christopher Young
c56young
Jul 8, 2011 10:15 pm
[I'm re-sending this, since it doesn't seem to have made it onto the Yahoo group mailing list yet.] Haven't put in the labels for the other two sign components...
1799
Christopher Young
c56young
Jul 9, 2011 4:09 am
I admit that the last examples weren't the best for students. They were intended more as "instructor's versions", to be projected on the front screen so...
1800
Christopher Young
c56young
Jul 9, 2011 7:22 am
Below, a simple way to illustrate projections, with a row of dots parallel to the line we're projecting onto. One thing for the GC wish list: The "range" of...
1801
Christopher Young
c56young
Jul 9, 2011 7:25 am
I spoke to soon about my derivation. It looks like I'm not getting the correct results, 0 and 1, below. Probably a typo or two crept in. But there's got to be...
1802
Christopher Young
c56young
Jul 9, 2011 8:15 am
Below, we always get 1 and 0 for the eigenvalues, as we should, whatever the line of projection or the obliquity of projection....
1803
Christopher Young
c56young
Jul 9, 2011 10:00 am
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...
1804
Christopher Young
c56young
Jul 9, 2011 10:14 am
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. ...
1805
arthur.lawrence@...
artplot101
Jul 10, 2011 11:43 pm
Could a BLACK HOLE be messing with our computer enjoyment? This is really a conformal map of the upper-half plane to the unit disk....
1806
Ron Avitzur
rxa31107
Jul 19, 2011 9:33 pm
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...
1807
arthur.lawrence@...
artplot101
Jul 20, 2011 4:22 am
Play the attached Eco friendly fan to keep cool....
1808
Chris Young
c56young
Jul 23, 2011 9:23 pm
Psychedelic, man!...
1809
Ron Avitzur
rxa31107
Jul 29, 2011 7:06 pm
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...
1810
Petri Sirkkala
petrisirkkala
Jul 30, 2011 5:41 pm
Thanks Ron, great to have these tools to offer when people have need for them! Attached is a small inequality plot for 2D Grapher. -Pete ... -- Petri Sirkkala,...
1811
Christopher Young
c56young
Aug 5, 2011 6:41 am
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...
1812
Christopher Young
c56young
Aug 5, 2011 6:54 am
I think I like the color scheme better restricted to red to yellow....
1813
Christopher Young
c56young
Aug 5, 2011 6:23 pm
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...
1814
Jon W
ziploc.king
Aug 10, 2011 5:47 am
how do you enter in either of the following?: ** Greater Than or equal to ** Less than or equal to Thanks...
1815
Christopher Young
c56young
Aug 10, 2011 5:52 am
... Option-< and Option-> will do it. Actually, you don't hold down the shift key, so strictly speaking it's Option-, and Option-. I.e., while holding down the...
1816
Ron Avitzur
rxa31107
Aug 16, 2011 2:47 pm
Hello, Pacific Tech 3D Grapher is now on the Mac App Store: http://itunes.apple.com/us/app/3d-grapher/id451772007?ls=1&mt=12 2D Grapher:...
1817
David Craig
dcraigx
Aug 17, 2011 1:44 am
Ron- I'm not sure about the relationship between these pieces of software and Graphing Calculator. They look like they are pieces of the full application...
1818
Ron Avitzur
rxa31107
Aug 17, 2011 5:35 am
... That is precisely correct. http://pacifict.com/3DGrapher.html#Comparison is the feature list chart comparing them all. - Ron...
1819
Ron Avitzur
rxa31107
Aug 23, 2011 10:30 pm
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...
1820
Christopher Young
c56young
Sep 4, 2011 3:41 am
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...
1821
Christopher Young
c56young
Sep 4, 2011 4:01 am
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...
1822
Christopher Young
c56young
Sep 15, 2011 8:04 am
As long as we use the function form, not subscripted, we can use the extended product to write the interpolating polynomial (Lagrange's form). ...
1823
Christopher Young
c56young
Sep 15, 2011 8:39 am
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...
