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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.

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 20"]);

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 (2*x^2 + 3*y^2, [x, -10, 10], [y, -10, 10]);

contour_plot (2*x^2 +...

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contour_plot-set_plot_option-sin-sqrt
contour_plot(2/(1+sqrt(y-sin(x))+sqrt(x+sin(y))),[x,-10,10],[y,-10,10]);

set_plot_option([gnup...

contour_plot(2/(1+sqr...

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contour_plot-exp
contour_plot (x^2+exp(y), [x,-10,10], [y,-10,10]);

contour_plot (x^2+exp...

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contour_plot
contour_plot (x + y , [x, -6 , 6],[y, -6, 6]);

contour_plot (x + y ,...

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contour_plot
contour_plot (x - y , [x, -6 , 6],[y, -6, 6]);

contour_plot (x - y ,...

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

plot3d([min(0.75*3100...

contour_plot (min(0....

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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,black,black,black,black,yellow,black,black,black,black,black],[gnuplot_preamble, "set cntrparam levels 5"]);

contour_plot(100*0.5^...

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contour_plot-sqrt
contour_plot (-(5*y-5*x^4+5*x^2+10*x-10)/(2*sqrt(5)*x^2-4*sqrt(5)*x+2*sqrt(5)), [x, -2, 2], [y, -2, 2]);

contour_plot (-(5*y-5...

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contour_plot
contour_plot(f(x,y), [x,-2,2], [y,-2,2]);

f(x,y):= ((x^2) - (y^...

contour_plot(f(x,y), ...

Calculate