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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],[legend,"T [celsius]"],[elevation,30],[azimuth,30]);
 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"]);

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
contour_plot(100*0.5^((AngularVelocity/TrackingSpeed*400/400)^2),[AngularVelocity,0.0,1.0],[TrackingSpeed,0.0,1.0],[legend,"%"],[grid,5,5]);

contour_plot(100*0.5^...

Calculate

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

set_plot_option([gnup...

contour_plot(-x*y/exp...

Calculate

contour_plot
contour_plot(x^6-x^4+x^2+y^6-y^4+y^2+3*x^2*y^4+3*x^4*y^2-4*x^3*y-4*x*y^3-2*x^2*y^2, [x,-5,5], [y,-5,5]);

contour_plot(x^6-x^4+...

Calculate

contour_plot-sqrt
contour_plot (sqrt(x)+y,[x,0,1000],[y,0,10]);

contour_plot (sqrt(x)...

Calculate

contour_plot-log
contour_plot (log(x),[x, -4, 4],[y, -5 , 6]);

contour_plot (log(x),...

Calculate

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

f(x,y):=((x+1)^2+y^2)...

contour_plot (x^2 + y...

Calculate

contour_plot-cos-sin
contour_plot(f,[x,-2,3],[y,-1,3],[gnuplot_preamble, "set cntrparam levels 13"]);

f: x^2+y^2-2*x*cos(y)...

contour_plot(f,[x,-2,...

Calculate

contour_plot-cos-diff-plot2d-sin-sublis
contour_plot (x^2 + y^2, [x, -5, 5], [y, -5, 5]);

x^6 +19*x^5 + x^4 - 1...

integrand: x^2*y*diff...

path: [x = cos(t), y ...

Calculate

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

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

Calculate