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max-plot3d-sqrt
plot3d(1000*dps(h(x,y,1,1,10,10)), [x,-40,40], [y,0,40], [z,0,1050],[grid,100,100],[palette, [value,0.0,1.0,0.0,0.9999]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

dist(x,y) := sqrt(x^2...

h(x,y,tr,sig,opt,fall...

dps(x) := (0.5*x+x^2/...

Calculate

max-plot3d-sqrt
plot3d(1000*0.5^( (2/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1000],[grid,400,400],[zlabel,"DPS"],[palette, [value,0.0,1.0,0.0,.999]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20], [colorbox,true]);

plot3d(1000*0.5^( (2/...

Calculate

max-plot3d-sqrt
plot3d(0.5^( (0.5/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1],[grid,100,100],[palette, [value,0.0,1.0,0.0,1.0]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

plot3d(0.5^( (0.5/sqr...

Calculate

max-plot3d-sqrt
plot3d(0.5^( (3/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1.0],[grid,100,100],[palette, [value,0.0,1.0,0.0,1.0]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

plot3d(0.5^( (3/sqrt(...

Calculate

max-plot3d-sqrt
plot3d(0.5^( (2/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1],[grid,100,100],[palette, [value,0.0,1.0,0.0,1.0]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

plot3d(0.5^( (2/sqrt(...

Calculate

max-plot3d-sqrt
plot3d(0.5^( (10/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[grid,100,100],[palette, [value,0.0,1.0,0.0,1.0]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

plot3d(0.5^( (10/sqrt...

Calculate

max-plot3d-sqrt
plot3d(1000*0.5^( (0.3/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,.9]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

plot3d(1000*0.5^( (0....

Calculate

max-plot3d-sqrt
plot3d(1000*0.5^( (0.3/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,.9]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

plot3d(1000*0.5^( (0....

Calculate

max-plot3d-sqrt
plot3d(1000*0.5^( (5/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,.999]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

plot3d(1000*0.5^( (5/...

Calculate

max-plot3d-sqrt
plot3d(1000*0.5^( (1/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,.999]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

plot3d(1000*0.5^( (1/...

Calculate

[max,plot3d,sqrt]

Run Example
(%i1)dist(x,y) := sqrt(x^2+y^2);
                                              2    2
(%o1)                     dist(x, y) := sqrt(x  + y )
(%i2) h(x,y,tr,sig,opt,fall) := 0.5^( (tr/dist(x,y)*sig)^2 + (max(0, dist(x,y)-opt)/fall)^2 );
(%o2) h(x, y, tr, sig, opt, fall) := 
                                     tr         2    max(0, dist(x, y) - opt) 2
                                (---------- sig)  + (------------------------)
                                 dist(x, y)                    fall
                             0.5
(%i3) dps(x) := (0.5*x+x^2/2)*0.99 + 3*0.01;
                                         2
                                        x
(%o3)                dps(x) := (0.5 x + --) 0.99 + 3 0.01
                                        2
(%i4) plot3d(1000*dps(h(x,y,1,1,10,10)), [x,-40,40], [y,0,40], [z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,.999]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);
plotplot3d(1000*dps(h(x,y,1,1,10,10)), [x,-40,40], [y,0,40], [z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,.999]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);
Run Example
plot3d(0.5^( (3/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1.0],[grid,100,100],[palette, [value,0.0,1.0,0.0,1.0]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);
plotplot3d(0.5^( (3/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-10)/10)^2 ), [x,-40,40],[y,0,40],[z,0,1.0],[grid,100,100],[palette, [value,0.0,1.0,0.0,1.0]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);
Run Example
dist(x,y) := sqrt(x^2+y^2);
                                              2    2
(%o1)                     dist(x, y) := sqrt(x  + y )
(%i2) h(x,y,tr,sig,opt,fall) := 0.5^( (tr/dist(x,y)*sig)^2 + (max(0, dist(x,y)-opt)/fall)^2 );
(%o2) h(x, y, tr, sig, opt, fall) := 
                                     tr         2    max(0, dist(x, y) - opt) 2
                                (---------- sig)  + (------------------------)
                                 dist(x, y)                    fall
                             0.5
(%i3) dps(x) := (0.5*x+x^2/2)*0.99 + 3*0.01;
                                         2
                                        x
(%o3)                dps(x) := (0.5 x + --) 0.99 + 3 0.01
                                        2
(%i4) plot3d(1000*dps(h(x,y,1,1,10,10)), [x,-40,40], [y,0,40], [z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,1.0]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);
plotplot3d(1000*dps(h(x,y,1,1,10,10)), [x,-40,40], [y,0,40], [z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,1.0]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20]);

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