Need help with 3-D plotting

y < (.01.*x.^(2).*exp(x.^(-2))./(8.*Z.*10.^10)).^(1./4);

I need to plot the inequality above in a 3-D mesh plot. Plot y and z along the x-axis and y-axis respectively, and x along the z direction. (this is really weird, I know :). For y variable choose a range between 10^−6 to 10^−2, while for z variable plot between 10^−8 and 1. I will need to do a loglog plot for sure.

I have been trying to use the meshgrid commands such as:

y = linspace(.000001,.01); z = linspace(.00000001,1); [z,y] = meshgrid(z,y); y = (10.^(-10).*x.^(2).*exp((x.^2).^(-1)/4).*y.^(-1)/2).^(1/4); mesh(x,y,z);

but I know this is wrong this is just what I've been playing around with. Any help or advice on the coding would be much appreciated.

[Sean de Wolski]

What is x in the above expression? You don't seem to be far off!

[William Duhe]

x is a variable I want to fluctuate with given ranges of y and z, I'm wondering if I need to set up an (x = .....) equation to make this work.

Answer 1

[Sean de Wolski]

If you have the symbolic math toolbox, you may want to look at ezsurf

[Patrick Kalita]

FYI, there is an ezsurf function in base MATLAB (http://www.mathworks.com/help/techdoc/ref/ezsurf.html) that takes string or function handle inputs in addition to the ezsurf in the Symbolic Math Toolbox (http://www.mathworks.com/help/toolbox/symbolic/ezsurf.html) that accepts sym object inputs.

[William Duhe]

this is a huge help thanks guys!

ezmesh('(.01.*x.^(2).*exp(x.^(-2))./(8.*y.*10.^10)).^(1./4)')

this is the command line I think I need to use in order to generate the 3-D mesh plot I need. But one question is how do I change the domain to the parameters I listed above for the z and y values?

[Sean de Wolski]

This isn't really my specialty but here are a few ideas:

-Write a more complicated function handle that blanks out the locations where y is less than that value.

-Look at the min/max optional inputs to ezmesh

-Wait for Patrick, whose specialty is this, to give a better answer ;)

[William Duhe]

All right, that works for me, hopefully Patrick can give me an example of the syntax to use in order to establish changes in the domain on the ezmesh command.

[William Duhe]

All right, that works for me, hopefully Patrick can give me an example of the syntax to use in order to establish changes in the domain on the ezmesh command.