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The Maxima on-line user's manual

Algebra Calculator

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Globalsolve Calculator

Globalsolve

-- Option variable: globalsolve Default value: false

When globalsolve is true, solved-for variables are assigned the solution values found by linsolve, and by solve when solving two or more linear equations.

e1 : (0^3)*k + (0^2)*l + 0*m + n = 0;
e2 : 3*(0^2)*k + 2*0*l + m = 0.8;
e3 : (10^3)*k + (10^2)*l + 10*m + n - (10^2)*a - 10*b -c = 0;
e4 : 3*(10^2)*k + 2*10*l + m - 2*10*a - b = 0;
e5 : (100^3)*p + (100^2)*q + 100*r + s = -40;
e6 : 3*(100^2)*p + 2*100*q + r = -1.6;
e7 : (90^3)*p + (90^2)*q + 90*r + s - (90^2)*a - 90*b - c = 0;
e8 : 3*(90^2)*p + 2*90*q + r - 2*90*a - b = 0;
e9 : 2*(100/33)*a + b = 0;
e10 : ((100/33)^2)*a + (100/33)*b + c = 30;
e11 :  (10^3)*k + (10^2)*l + 10*m + n = 10;
e12 : (90^3)*p + (90^2)*q + 90*r + s = 10;
e13 : 3*(10^2)*k + 2*10*l + m = 2.4;
e14 : 3*(90^2)*p + 2*90*q + r = -2.4;
[globalsolve: true];
linsolve([e1, e2, e3, e4, e5, e6, e7, e8, e9, e10, e13], [a, b, c, k, l, m, n, p, q, r, s]);
f(a1,b1,c1,x) := a1*(x^2) + b1*x + c1;
g(x):= p*(x^3) + q*(x^2) + r*x +s;
plot2d(f(a, b, c, x),[x,10,90]);
plot2d(g,[x,0,10]);
plot2d(f(a, b, c, x),[x,10,90]);

When globalsolve is false, solutions found by linsolve and by solve when solving two or more linear equations are expressed as equations, and the solved-for variables are not assigned.

When solving anything other than two or more linear equations, solve ignores globalsolve. Other functions which solve equations (e.g., algsys) always ignore globalsolve.

Examples:

          (%i1) globalsolve: true$
          (%i2) solve ([x + 3*y = 2, 2*x - y = 5], [x, y]);
          Solution

                                           17
          (%t2)                        x : --
                                           7

                                             1
          (%t3)                        y : - -
                                             7
          (%o3)                     [[%t2, %t3]]
          (%i3) x;
                                         17
          (%o3)                          --
                                         7
          (%i4) y;
                                           1
          (%o4)                          - -
                                           7
          (%i5) globalsolve: false$
          (%i6) kill (x, y)$
          (%i7) solve ([x + 3*y = 2, 2*x - y = 5], [x, y]);
          Solution

                                           17
          (%t7)                        x = --
                                           7

                                             1
          (%t8)                        y = - -
                                             7
          (%o8)                     [[%t7, %t8]]
          (%i8) x;
          (%o8)                           x
          (%i9) y;
          (%o9)                           y

(%o1)                                true
(%i2) 

Globalsolve Example

Related Examples

globalsolve-linsolve-true

globalsolve: true;

e1: 1.6;

e2: 0.8;

Calculate

globalsolve-linsolve-sqrt-true

globalsolve: true ;

h: 45;

e3: 2;

Calculate

globalsolve-programmode

eq1:x=D+a*I;

eq2:y=E+a*H;

eq3:z=F+a*G;

Calculate

globalsolve-linsolve-true

globalsolve : true;

wc(x):=-Q/EI;

wb(x) := (-Q*x+C12)/EI;

Calculate

globalsolve-linsolve-true

globalsolve: true;

eq1 : (phi1-phi3)*L-R=0;

eq2 : (phi3-phi2)*L+R=0;

Calculate

globalsolve-linsolve-phi-true

globalsolve: true;

l:325;

h1:150;

Calculate

globalsolve-linsolve-true

globalsolve:true;

Mt:2*a^3*P1+2*a^2*P2e...

eq2:(P2/3*e)*3*a+((P2...

Calculate

globalsolve-linsolve-programmode

e1: x^2 + z = ya;

e2: 2*a*x - y = 2*a^2;

e3: y - 2*z = 2;

Calculate

globalsolve-linsolve

globalsolve:trueMt:2*...

eq2:(P2/3*e)*3*a+((P2...

linsolve([eq1,eq2],[P...

Calculate