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The Maxima on-line user's manual

Algebra Calculator

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Max

Function: max (<x_1>, ..., <x_n>) Return a simplified value for the maximum of the expressions <x_1> through <x_n>. When get (trylevel, maxmin), is 2 or greater, max uses the simplification max (e, -e) --> |e|. When get (trylevel, maxmin) is 3 or greater, <max> tries to eliminate expressions that are between two other arguments; for example, max (x, 2*x, 3*x) --> max (x, 3*x). To set the value of trylevel to 2, use put (trylevel, 2, maxmin).

range: 5;
max:230;
rangeb: 3.5;
multiplier: (max-100)/100;
iquar: max/(multiplier*(x/rangeb)^4+1);
icub: max/(multiplier*(x/rangeb)^3+1);
isqr: max/(multiplier*(x/rangeb)^2+1);
sqrt: max*(1-sqrt(x/range));
lin: max*(1-(x/range));
sqr: max*(1-(x/range))^2;
cub: max*(1-(x/range))^3;
quad: max*(1-(x/range)^2);
plot2d([iquar,icub,isqr,100,lin,sqrt,sqr,cub,quad],[x,0,range],[y,0,max]);

There are also some inexact matches for max. Try ?? max to see them.

(%o1)                                true
(%i2) 

Related Examples

max-min-plot3d
plot3d(v(b1,b2),[b1,0,150],[b2,0,150]);

fces1(b1,b2):=max(min...

fces2(b1,b2):=max(min...

fces3(b1,b2):=max(min...

Calculate

max

f(x):=max(x-40,0)-5;

g(x):=max(x-60,0)-3;

h(x)=f(x)-g(x);

Calculate

max-min-rhs-solve-sqrt

e1:(1-p)^2+(1-q)^2=r^2;

e2:(2-p)^2+(3-q)^2=r^2;

e3:(3-p)^2+(5/2-q)^2=...

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,200,200],[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-plot2d-sqrt
plot2d([max/((4*x/range)^2+1),max/((6*x/range)+1),max/sqrt((35*x/range)+1),100,max*(1-(x/range))],[x,0,range],[y,0,max]);

max: 230;

range: 27;

plot2d([max/((4*x/ran...

Calculate

max

max (-x^2);

Calculate

max-plot2d
plot2d([f(x,11), f(x,10), f(x,11)-f(x,10)], [x, 0, 40]);

f(x,y) := 0.5^((max(0...

plot2d([f(x,11), f(x,...

Calculate

max-plot3d-set_plot_option
plot3d([max(x,y),[x,0,100],[y,0,100]]);

set_plot_option([azim...

plot3d([max(x,y),[x,0...

Calculate

max-plot2d
plot2d(f(x),[x,0,0.1]);

f(x):=max((x*4)^0.4,0...

f(0.01);

f(0.02);

Calculate

max-min

mi:-10;

mx:10;

u:-20;

Calculate