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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

prov:100;

min(max(300,prov),0);

Calculate

max

minimum:300;

hodnota:400;

max(0,hodnota-minimum);

Calculate

max

minimum:300;

hodnota:500;

max(0,hodnota-minimum...

Calculate

max-plot2d
plot2d([f(x,1.0), f(x,1.1), f(x,1.1)-f(x,1.0)], [x, 0, 40]);

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

plot2d([f(x,1.0), f(x...

Calculate

max-plot2d-sqrt
plot2d([iquar,icub,isqr,ilin,rquar,rcub,rsqr,100,lin,sqrt,sqr,cub,quad],[x,0,range],[y,0,max]);

range: 40;

max: 230;

​multiplier: max-1;

Calculate

max-plot2d-sqrt-subst
plot2d([iquar,icub,isqr,100,lin,sqrt,sqr,cub,quad],[x,0,range],[y,0,max]);

range: 27;

rangeb: 81;

max: 230;

Calculate

max

minimum:300;

hodnota:200;

max(minimum,hodnota);

Calculate

max-numer-rhs-solve-sqrt

mb: .108;

mp: 31e-3;

m: mb+mp;

Calculate

max

max(a*365*(364/365)^a);

Calculate

max-solve

max: 230;

rquar: max/((x+1)^4);

rcub: max/((x+1)^3);

Calculate