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The Maxima on-line user's manual

Algebra Calculator

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Contour_plot Calculator

Contour_plot

Function: contour_plot (<expr>, <x_range>, <y_range>, <options>, ...) It plots the contours (curves of equal value) of <expr> over the region <x_range> by <y_range>. Any additional arguments are treated the same as in plot3d.

plot3d([min(0.75*3100/(6.28*40e-3*sqrt(x^2+y^2))*exp(-2250.0/(60*2*8.0)*(x+sqrt(x^2+y^2))),1600),[x,-30,3],[y,-5,5]],[mesh_lines_color, true], [colorbox, true],[palette, [hue,0.0,.85,.85,1.0/3.0]],[elevation,0],[azimuth,0]);
 contour_plot (0.75*3100/(6.28*40e-3*sqrt(x^2+y^2))*exp(-2250.0/(60*2*8.0)*(x+sqrt(x^2+y^2))), [x, -30, 3], [y, -5, 5],[legend,false], [gnuplot_preamble,"set cntrparam levels discrete 400,600,800,1000,1200,1400,1600"]);

This function only works when the plot format is either gnuplot or gnuplot_pipes. The additional package implicit_plot can also be used to plot contours and it works for any format. See implicit_plot.

Examples:

          (%i1) contour_plot (x^2 + y^2, [x, -4, 4], [y, -4, 4])$

          (%i1) F(x, y) := x^3 + y^2;
                                             3    2
          (%o1)                  F(x, y) := x  + y
          (%i2) contour_plot (F, [u, -4, 4], [v, -4, 4])$

You can add any options accepted by plot3d; for instance, the option legend with a value of false, to remove the legend. Gnuplot chooses, by default, 3 contours to show. to increase the number of levels, it is necessary to specify a custom gnuplot preamble:

          (%i1) contour_plot (u^3 + v^2, [u, -4, 4], [v, -4, 4],
          (%i2) [legend,false], [gnuplot_preamble,"set cntrparam levels 12"])$

(%o1)                                true
(%i2) 

Contour_plot Example

Related Examples

contour_plot-cos
contour_plot (cos(x*a), [x,-2,2],[a,-2,2]);

contour_plot (cos(x*a...

Calculate

contour_plot-diff-sqrt
contour_plot (Y(x,y), [x, -1, 1], [y, -1, 1]);

f(x,y):=x^2+y^2;

a(x,y):=diff(f(x,y),x);

b(x,y):=diff(f(x,y),y);

Calculate

contour_plot-exp-min-sqrt
contour_plot (min(0.75*3100/(6.28*40e-3*sqrt(x^2+y^2))*exp(-2250.0/(60*2*8.0)*(x+sqrt(x^2+y^2))),1600), [x, -30, 3], [y, -5, 5],[legend,"T [celsius]"],[gnuplot_preamble,"set key outside \n set cntrparam levels 8"]);

contour_plot (min(0.7...

Calculate

contour_plot
contour_plot(100*0.5^((AngularVelocity/TrackingSpeed*400/400)^2),[AngularVelocity,0.0,1.0],[TrackingSpeed,0.0,1.0],[legend,"%"],[grid,100,100],[color,red,yellow,green],[gnuplot_preamble, "set cntrparam levels 5"]);

contour_plot(100*0.5^...

Calculate

contour_plot-exp-min-sqrt
contour_plot (min(0.75*3100/(6.28*40e-3*sqrt(x^2+y^2))*exp(-2250.0/(60*2*8.0)*(x+sqrt(x^2+y^2))),1600), [x, -30, 3], [y, -5, 5],[legend,"T [celsius]"],[gnuplot_preamble,"set key outside \\n set cntrparam levels 8"]);

contour_plot (min(0.7...

Calculate

contour_plot
contour_plot (x^2 + y^2-1, [x, -4, 4], [y, -4, 4]);

contour_plot (x^2 + y...

contour_plot (-0.1*(...

Calculate

contour_plot-exp
contour_plot(-x*y/exp(x^2+y^2),[x,-2,2],[y,-2,2]);

contour_plot(-x*y/exp...

set_plot_optin([gnupl...

Calculate

contour_plot
contour_plot(x^2+y^2,[x,0,1],[y,0,1]);

contour_plot(x^2+y^2,...

Calculate

contour_plot
contour_plot(x**2+y**2,[x,-5,5],[y,-5,5]);

contour_plot(x**2+y**...

Calculate

contour_plot-exp-min-plot3d-sqrt
plot3d([min(0.75*3100/(6.28*40e-3*sqrt(x^2+y^2))*exp(-2250.0/(60*2*8.0)*(x+sqrt(x^2+y^2))),1600),[x,-30,3],[y,-5,5]],[mesh_lines_color, true], [colorbox, true],[palette, [hue,0.0,.85,.85,1.0/3.0]],[elevation,30],[azimuth,30]);

plot3d([min(0.75*3100...

contour_plot (0.75*3...

Calculate