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The Maxima on-line user's manual

Algebra Calculator

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Lhs Calculator

Lhs

Function: lhs (<expr>) Returns the left-hand side (that is, the first argument) of the expression <expr>, when the operator of <expr> is one of the relational operators < <= = # equal notequal >= >, one of the assignment operators := ::= : ::, or a user-defined binary infix operator, as declared by infix.

eq1:x^5-3*x^4-3*x^3+9*x^2+2*x-6=0;
solve(eq1,x);
x:1;
lhs(eq1);
x^5-3*x^4-3*x^3+9*x^2+2*x-6;

When <expr> is an atom or its operator is something other than the ones listed above, lhs returns <expr>.

See also rhs.

Examples:

          (%i1) e: aa + bb = cc;
          (%o1)                     bb + aa = cc
          (%i2) lhs (e);
          (%o2)                        bb + aa
          (%i3) rhs (e);
          (%o3)                          cc
          (%i4) [lhs (aa < bb), lhs (aa <= bb), lhs (aa >= bb),
                 lhs (aa > bb)];
          (%o4)                   [aa, aa, aa, aa]
          (%i5) [lhs (aa = bb), lhs (aa # bb), lhs (equal (aa, bb)),
                 lhs (notequal (aa, bb))];
          (%o5)                   [aa, aa, aa, aa]
          (%i6) e1: (foo(x) := 2*x);
          (%o6)                     foo(x) := 2 x
          (%i7) e2: (bar(y) ::= 3*y);
          (%o7)                    bar(y) ::= 3 y
          (%i8) e3: (x : y);
          (%o8)                         x : y
          (%i9) e4: (x :: y);
          (%o9)                        x :: y
          (%i10) [lhs (e1), lhs (e2), lhs (e3), lhs (e4)];
          (%o10)               [foo(x), bar(y), x, x]
          (%i11) infix ("][");
          (%o11)                         ][
          (%i12) lhs (aa ][ bb);
          (%o12)                         aa

(%o1)                                true
(%i2) 

Lhs Example

Related Examples

lhs-rhs-sqrt

lhs : 10*y+329;

rhs : 36 * sqrt( x^2 ...

lhs_new : lhs ^ 2;

Calculate

lhs

liste1 : [12,0,7,3,5,...

liste2 : [x=%i,x=-r,z...

liste3 : [[1,6],[2,5]...

Calculate

lhs-rhs

A_xm[t]:=(Mwi_x[t]-Mw...

eq:A_xm[t]=Cwi[t]/Dwi...

f1:rhs(eq)-lhs(eq);

Calculate

lhs-solve

e1:30=5*i1+5*%i*(i1-i2);

e2:0=2*i2+3*%i*i2+5*%...

e3:-20=4*i3+6*(i3-i2);

Calculate

lhs-load-rhs

load ("lrats");

eq:Aw_xm[0]/awi_12xm[...

f:rhs(eq)-lhs(eq);

Calculate

lhs

liste1:[0,8,5,9,1,4,3...

liste2:[x=-r,x=%i,y=1...

liste3:[[1,4],[2,7],[...

Calculate

lhs-load-rhs

load ("lrats");

V0[t]:=A_x[t]+(%beta_...

eq:V0[t]=C_x[t]/D_x[t...

Calculate

lhs-load-rhs

load ("lrats");

V[t]:=12*awi_12xm[0]/...

eq:V[t]=12*awi_12xm[0...

Calculate

lhs-load-plot2d-sin
plot2d([lhs(eq1)],[x,-0.25,0.75]);

eq1:sin(0.5*x)-2*x+0....

plot2d([lhs(eq1)],[x,...

load(newton1);

Calculate

lhs-linsolve-plot2d
plot2d(lhs(eq2),[x,0,10]);

eq1:x*4+y-2=y;

eq2:x+2=y;

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

Calculate