Work in progress to understanding the relationship between powers of complex numbers and the logarithmic spiral. I've got the integral-power-of-a-complex-point...
Trying to get a geometrical account of all the information involved in getting complex roots. Since I can't use the "t" parameter in [h s v] color-mappings,...
Trying to get a geometrical account of all the information involved in getting complex roots. Since I can't use the "t" parameter in [h s v] color-mappings,...
There seems to be a problem with dot-products and derivatives here, possibly related to the cot(S) * a turning into cot(S*a) sometimes when I cut and paste. ...
Unfortunately, it looks like I spoke too soon; there seem to be problems trying to get the normal vectors by taking derivatives where the dot-product is used...
Here, I've added the draggable complex point q through which there's a unique equiangular spiral going through (1, 0) and with "collapsed radius" of 1. By...
A way to graph trig functions with light axes, so that the projections on the axes show up clearly. Also, darkening the background so the yellow lines show up...
All- I have about 20 ordered pairs and I would like an equation that yields a relatively good "curve of best fit." Can Graphing Calculator help discover one? ...
Eugene W. Hungate
ghungate@...
Jan 19, 2007 2:47 am
1315
... I can't think of anything built in that would help particularly. But if you have some parameterization of the kind of best-fit curve you expect, you could...
... http://cinderella.de/files/HTMLDemos/2C05_Regression.html has a very nice interactive Java demo showing the "least squares" in a very literal way:   ...
I can't seem to graph these expressions with the summation symbol. I think I've been able to graph other expressions containing the summation symbol, but...
It's hard to tell just what causes the problem here. It looks like GC doesn't like indices for summation when they are used as function arguments and these...
I managed to get it to get it to work in the case of four points by just doing the summing out directly. Certainly would be preferable to be able to use the...
It's not that difficult and, I think, kind of fun to work out the pattern of a formula such as the interpolation polynomial for higher numbers, and then ask...
Even when you don't want to use the summation operator in a definition, for reasons of speed or because of problems GC has with indexed points within a...
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the GraphingCalcUsers group. File :...
GraphingCalcUsers@yah...
Jan 20, 2007 8:19 am
1323
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the GraphingCalcUsers group. File :...
GraphingCalcUsers@yah...
Jan 20, 2007 3:24 pm
1324
When data are on a line, squares are small: Checking against the example at http://cinderella.de/files/HTMLDemos/ 2C05_Regression.html : The only difference is...
Just starting to experiment with the least-squares file. I would have thought that the line below would go between along the white diagonal at 45û. However, I...
... I think it's clearer the way they do it because the squares don't cross the line, making both the square and the line easier to see. Also, it seems to me...
... I think you're right. I'm trying to redo it now. ... Again, that's just what I was thinking. I think that the situation graphed here corresponds to...
As per the discussion, maybe the original example and my own are both a little misleading. I'm going to redo this with the x-coordinates fixed, since I think...
... It would also be nice to have a square with area equal to the sum of all the individual square errors so that you could get a better sense of the total...
... Well, it has serious limitations. Specifically, you're limited to curves parameterized by no more than three parameters. With two parameters you could...
Hello, I'd imagine most folks on this list are already familiar with Key Press Technology's Fathom, but just in case, let me take this opportunity to direct...
... Well, it has serious limitations. Specifically, you're limited to curves parameterized by no more than three parameters. With two parameters you could...
