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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).

f(x,y):= x*y/max(x,y);
plot3d(f(x,y), [x,0,1], [y,0,1]);

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

(%o1)                                true
(%i2) 

Related Examples

max-min

prov:400;

min(max(300,prov),-10);

Calculate

max-plot3d-sqrt
plot3d([f1(x,y), f2(x,y),  f3(x,y), f4(x,y), [x,-40,40], [y,0,40] ], [z,0,1000],[grid,100,100],[palette, [value,0.0,1.0,0.0,0.9999]],[legend,false],[mesh_lines_color,false],[elevation,60],[azimuth,20],[colorbox,true]);

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

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

dps(x) := 1000*100/10...

Calculate

max-min

fces1(x,y):=max(min(8...

fces2(x,y):=max(min(3...

fces3(x,y):=max(min(5...

Calculate

max-min

fceb1s1(x):=max(min(8...

fceb1s2(x):=max(min(3...

fceb1s3(x):=max(min(5...

Calculate

max-min-plot2d-plot3d-sin
plot2d(sin(DtoR(x)), [x,x_min,x_max]);

DtoR(x):=(x*%pi/180);

RtoD(x):=(x*180/%pi);

x_max: 360;

Calculate

max-ratsimp

add(x,y):=x+y;

sub(x,y):=x-y;

mul(x,y):=x*y;

Calculate

max-plot3d-sqrt
plot3d(1000*0.5^( (2/sqrt(x^2+y^2))^2 + (max(0,sqrt(x^2+y^2)-15)/5)^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-min-rhs-solve

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-plot2d
plot2d([f(x,0.0), f(x,0.1*p2), f(x,0.1*p2)-f(x,0.0)], [x, 0, 50], [legend, false]);

p1 : 1.0;

p2 : 1.0 + 0.869;

p3 : 1.0 + 0.869 + 0....

Calculate

max-min

min(max(300,400),300);

Calculate