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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;

eq1:(-phi1/e1)*l1+(ph...

eq2:(phi2/e2)*l1-(phi...

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globalsolve-linsolve-true

globalsolve: true;

eq1:phi1*h1-phi2*h2+p...

eq2:(phi-phi2)*h2+(ph...

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globalsolve-linsolve-true

globalsolve: true;

eq1:(1000-x3)*650*150...

eq4: (1000-x2)*225+(1...

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globalsolve-true

eq1:a1*x^2+b1*y^2+c1*...

eq2:a2*x^2+b2*y^2+c2*...

globalsolve:true;

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globalsolve-linsolve-phi-true

globalsolve: true;

l:325;

h1:150;

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globalsolve-linsolve-true

globalsolve: true;

eq1:r2+(phi3-phi2)*l=0;

eq2:-r1+(phi1-phi3)*l=0;

Calculate

globalsolve-true

globalsolve: true;

wl1= (l^3)/(3*E*S) * ...

wl2= (l^3)/(3*E*S)*((...

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globalsolve-programmode

e1: -Q/EI =wc;

e2: -Q/EI*x+C2 = wb;

e3: -Q/2/EI*x^2+ C2*...

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globalsolve-linsolve

s1 : [1,0,0,0];

s2 : [0,1,-1,0];

s3 : [0,0,1,-1];

Calculate

globalsolve-linsolve-programmode

eq1:10*x+y=3*(x+y)+3;

eq2:-x^2+y^2=2*(x-y)^2;

[globalsolve:true, pr...

Calculate