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algsys-cos-diff-sin

Vr: (1-(3/2)*C*(Xi^-1...

Vth: (-1+(3/4)*C*(Xi^...

tau_rth:Xi*diff(Vth/X...

Calculate

algsys-diff-obase-plot2d-realonly-true
plot2d(K_s(x), [x,-100,200], [y, -100, 1000]);

obase:10;

K(x):= 0.0003*x^3-0.0...

K_s(x):=K(x)/x;

Calculate

algsys-diff-hessian

f(x,y,z):=(x^2-(((z^2...

fx:diff(f(x,y,z),x);

fy:diff(f(x,y,z),y);

Calculate

algsys

eq1:Qo = (T0 - Ta)/R0;

eq2:Q3 = (Ta - T3)/R1;

eq3:Qab = (Ta - Tb)/R2;

Calculate

algsys

eq1:x^2+y^2-1=0;

eq2:-2*x+2+2*x*v=0;

eq3:2-2*y+2*y*v=0;

Calculate

algsys-exp

eq1:1/(2*%pi*sigma^2)...

eq2:1/(2*%pi*sigma1^2...

algsys([eq1,eq2],[x,y]);

Calculate

algsys-diff-obase-plot2d-realonly-true
plot2d(K_s(x), [x,-100,200], [y, -100, 1000]);

obase:10;

K(x):= 0.0003*x^3-0.0...

K_s(x):=K(x)/x;

Calculate

algsys

algepsilon=10^4;

algsys([x*y^2+2*x*y =...

Calculate

algsys-diff-realonly-true

realonly:true;

f:x^3+y^3-(3*x)-(12*y...

fx:diff(f,x);

Calculate

algsys

Run Example
(%i1)f1:(-ys*e2x+vx)^2+(-ys*e2y+vy)^2=r^2;
                                  2                2    2
(%o1)                (vy - e2y ys)  + (vx - e2x ys)  = r
(%i2) f2:(-xs*e1x+vx)^2+(-xs*e1y+vy)^2=r^2;
                                  2                2    2
(%o2)                (vy - e1y xs)  + (vx - e1x xs)  = r
(%i3) algsys([f1,f2],[vx,vy]);
(%o3)                                 []
(%i4) 
Run Example
algexact:true;
(%o1)                                true
(%i2) eq1:0=I0-U1/R1-(U1-U2)/R12-(U1-U3)/R13;
                            U3 - U1   U2 - U1   U1
(%o2)                   0 = ------- + ------- - -- + I0
                              R13       R12     R1
(%i3) eq2:0=I0-U2/R2-(U2-U1)/R12-(U2-U3)/R23;
                            U3 - U2   U2   U1 - U2
(%o3)                   0 = ------- - -- + ------- + I0
                              R23     R2     R12
(%i4) eq3:0=I0-U3/R3-(U3-U1)/R13-(U3-U2)/R23;
                             U3   U2 - U3   U1 - U3
(%o4)                  0 = - -- + ------- + ------- + I0
                             R3     R23       R13
(%i5) a:matrix(algsys([eq1,eq2,eq3],[U1, U2, U3]));
(%o5) matrix([[U1 = (((3 I0 R1 R2 + 2 I0 R1 R12) R23
 + (3 I0 R1 R13 + 3 I0 R1 R12) R2 + I0 R1 R12 R13) R3
 + (2 I0 R1 R13 R2 + I0 R1 R12 R13) R23 + I0 R1 R12 R13 R2)
/(((R2 + R12 + R1) R23 + (R13 + R12) R2 + (R12 + R1) R13 + R1 R12) R3
 + ((R13 + R1) R2 + (R12 + R1) R13 + R1 R12) R23
 + ((R12 + R1) R13 + R1 R12) R2), U2 = 
(((I0 R12 + 3 I0 R1) R2 R23 + ((2 I0 R12 + 3 I0 R1) R13 + 3 I0 R1 R12) R2) R3
 + ((I0 R12 + 2 I0 R1) R13 + I0 R1 R12) R2 R23)
/(((R2 + R12 + R1) R23 + (R13 + R12) R2 + (R12 + R1) R13 + R1 R12) R3
 + ((R13 + R1) R2 + (R12 + R1) R13 + R1 R12) R23
 + ((R12 + R1) R13 + R1 R12) R2), U3 = 
((((I0 R13 + 3 I0 R1) R2 + (I0 R12 + I0 R1) R13 + 2 I0 R1 R12) R23
 + ((2 I0 R12 + 3 I0 R1) R13 + 3 I0 R1 R12) R2) R3)
/(((R2 + R12 + R1) R23 + (R13 + R12) R2 + (R12 + R1) R13 + R1 R12) R3
 + ((R13 + R1) R2 + (R12 + R1) R13 + R1 R12) R23
 + ((R12 + R1) R13 + R1 R12) R2)]])
(%i6) b:matrix(algsys([eq1,eq2,eq3],[R12, R23, R13]));
(%o6)                   [ [R12 = 0, R23 = 0, R13 = 0] ]
(%i7) 
Run Example
load(vect);
(%o1)           /usr/share/maxima/5.21.1/share/vector/vect.mac
(%i2) es:[gx=L1*x1+L2*x2,gy=L1*y1+L2*y2,gz=L1*z1+L2*z2];
(%o2)    [gx = x2 L2 + x1 L1, gy = y2 L2 + y1 L1, gz = z2 L2 + z1 L1]
(%i3) algsys(es,[L1,L2]);
(%o3)                                 []
(%i4) %rnum_list;
(%o4)                                 []
(%i5) 

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