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Feb 27, 2009 4:34 pm
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Sorry this is so complicated-looking as far as formulas and notation go. I'm trying to simplify it and explain the whole process better. Chris ... Here is an...
Way too complicated You gave me some simple stuff a few years back ... Re: Volume via washers. Part 1 Way too complicated You gave me some simple stuff a few...
The basic idea is to plot cylinders whose walls are at the distance given by the solid of revolution whose volume we're trying to find. Aligning the solid...
By just rearranging the equations a little, we get the relationship between the volumes of a cylinder, sphere, and double cone: i.e., 3:2:1. Interesting that...
A few refinements, at the expense of very slightly complicating the equations, but simplifying the visuals: If we want to clip off two curves at their...
Here are some view of a the solid resulting from rotating the space between the cosine and the sine of 2πz around the z axis. I've used a smaller plotting...
Mystery solved. I hit the keyboard accidentally and wiped out the highlighted parameter list below. Currently, each list has to be updated to change the number...
This is still graphing reasonably fast. I still need to put back the volume calculations. Also, integrals will have to be done on a case by case basis....
The attachments get stripped out by Yahoo, unfortunately. But if you set your user option to "Individual Email", you'll get all the attachments. Just click on...
HELLO, I USE GC AS A HOBBY AND TO KEEP MY BRAIN ACTIVE. I BECAME VERY INTERESTED IN CONFORMAL MAPPING'S AND WOULD HAVE TO SEPERATE A MAPPING INTO REAL AND IM...
There are a lot of examples scattered throughout the Help section. The following is slightly modified from the file "Complex mapping". I think that, since ...
Just forwarding this beautiful plot from Artplot, to whom all credit is due:   Below is a way you can trace where each curve comes from, by coloring the...
Here's another way to see how each curve on the left gets mapped. I think what we're mapping is actually the inverse of the function , since the mapping...
The cartesian coordinates (i.e., using equations with x and y) seem to work a lot better than parametric ones (with t) as far as plotting in the right-hand...
By adding the "if " condition, we get rid of what was really not a curve, but just a "jump line" across a discontinuity, I believe.   By adding the...
On Aug 24, 2009, at 9:56 PM, <arthur.lawrence@...> ... Here's something pretty fast from the Help menu under Examples/5. Complex variables/• Conformal...
Thanks for the tip! Using the built-in grid and axis seems to speed things up a lot. Wish there were an option to make it darker.  Ch Thanks for the tip!...
On Sep 11, 2009, at 3:21 PM, <arthur.lawrence@...> ... In GC 3.5, you can use parameter lists to plot each circle. The circle at the pole gets "blown up"...
Hi Chris, The conformal stuff I'm getting is great and inspiring. I'll be glad when the new release comes out. The attach is slow to go but the color ...
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