Online Algebra Calculator
Many of users do not use powerful Maxima computer algebra system for systematic work, but for ad hoc algebraic calculations – equations, functions, matrixes, etc. only. To do this job, it is not useful to download the whole application from a web site.
Function: compare (<x>, <y>) Return a comparison operator <op> (<
, <=
, >
, >=
, =
, or #
) such that is (<x> <op> <y>)
evaluates to true
; when either <x> or <y> depends on %i
and <x> # <y>
, return notcomparable
; when there is no such operator or Maxima isnt able to determine the operator, return unknown
.
Examples:
(%i1) compare (1, 2); (%o1) < (%i2) compare (1, x); (%o2) unknown (%i3) compare (%i, %i); (%o3) = (%i4) compare (%i, %i + 1); (%o4) notcomparable (%i5) compare (1/x, 0); (%o5) # (%i6) compare (x, abs(x)); (%o6) <=
The function compare
doesnt try to determine whether the real domains of its arguments are nonempty; thus
(%i1) compare (acos (x^2 + 1), acos (x^2 + 1) + 1); (%o1) <
The real domain of acos (x^2 + 1)
is empty.
(%o1) true (%i2)
v_r:(1-(3/2)*(R/r)+(1...
v_th:(-1+(3/4)*(R/r)+...
P:pr-(h*g*z)-(3/2)*m*...