Art Kalb

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16 years, 206 days

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These are questions asked by Art Kalb


I would like to control the extents of my 3D parametric plot. Increasing the grid creates too many gridlines and I just get a black plot  (and I still don't get the extent in the y-coordinate that I want).

Any suggestions how I might be able to get this plot from -360 to 0 and -20 to 60 completely filled in? (see attached workbook).

Any suggestions on how to control the gridlines?

An idea of what I am trying to do...I want to plot argument(z/(1+z)) vs. argument(z)*180/pi vs. 20*log10(abs(z)) with contours of argument(z/(1+z)) and 20*log10(abs(z/(1+z))
This is a 3D plot of the output phase of a Nichol's Chart (with the output contours of the Nichol's chart).



I was wondering if anyone has a clever way to code the Cayley Omega process?
For those who are wondering, the Omega process is a differential operator. Given an n-dimensional space (x[1],x[2],x[3],...,x[n]), and n forms Q[1](x[1][1],x[1][2],x[1][3],etc) Q[2](x[2][1],x[2][2],x[2][3],etc) ... Q[n](x[n][1],x[n][1],x[n][1],etc), the operator is the determinant of the matrix who entries are the partial differential operators del/delx[i][j].

Thoughts? Suggestions?



I am trying to figure out how to simplify expressions like:

2^(6p+q) mod 3 (where p,q are variables representing integers)

Anybody know how to do this?

Even better would be something that solves 2^n=2 (mod 3) -> n=1 (mod 6)








I am having trouble getting a pattern match to the Heaviside function.

patmatch(Heaviside(x), Heaviside(a::algebraic))

returns "false" whereas I would expect it to return true.

On the other hand:

patmatch(Heaviside(x), Heaviside(x::algebraic))

returns true.


What am I missing?




Is there a way to force the branch choice with the LambertW?

If I turn on all _EnvAllSolutions:=true:

I get a placeholder for the branch. Unfortunately the name of this placeholder changes every time I re-evaluate.

Is there a way to force this to take a certain value?



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