Functions and Variables for Constants
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 -- Constant: %e
     %e represents the base of the natural logarithm, also known as Euler's number. The numeric value of %e is the double-precision floating-point value 2.718281828459045d0.

 -- Constant: %i
     %i represents the imaginary unit, sqrt(- 1).

 -- Constant: false
     false represents the Boolean constant of the same name. Maxima implements false by the value NIL in Lisp.

 -- Constant: inf
     inf represents real positive infinity.

 -- Constant: infinity
     infinity represents complex infinity.

 -- Constant: minf
     minf represents real minus (i.e., negative) infinity.

 -- Constant: %phi

     %phi represents the so-called golden mean, (1 + sqrt(5))/2. The numeric value of %phi is the double-precision floating-point value 1.618033988749895d0.

     fibtophi expresses Fibonacci numbers fib(n) in terms of %phi.

     By default, Maxima does not know the algebraic properties of %phi. After evaluating tellrat(%phi^2 - %phi - 1) and algebraic: true, ratsimp can simplify some expressions containing %phi.

     Examples:

     fibtophi expresses Fibonacci numbers fib(n) in terms of %phi.

          (%i1) fibtophi (fib (n));
                                     n             n
                                 %phi  - (1 - %phi)
          (%o1)                  -------------------
                                     2 %phi - 1
          (%i2) fib (n-1) + fib (n) - fib (n+1);
          (%o2)          - fib(n + 1) + fib(n) + fib(n - 1)
          (%i3) fibtophi (%);
                      n + 1             n + 1       n             n
                  %phi      - (1 - %phi)        %phi  - (1 - %phi)
          (%o3) - --------------------------- + -------------------
                          2 %phi - 1                2 %phi - 1
                                                    n - 1             n - 1
                                                %phi      - (1 - %phi)
                                              + ---------------------------
                                                        2 %phi - 1
          (%i4) ratsimp (%);
          (%o4)                           0

     By default, Maxima does not know the algebraic properties of %phi. After evaluating tellrat (%phi^2 - %phi - 1) and algebraic: true, ratsimp can simplify some expressions containing %phi.

          (%i1) e : expand ((%phi^2 - %phi - 1) * (A + 1));
                           2                      2
          (%o1)        %phi  A - %phi A - A + %phi  - %phi - 1
          (%i2) ratsimp (e);
                            2                     2
          (%o2)        (%phi  - %phi - 1) A + %phi  - %phi - 1
          (%i3) tellrat (%phi^2 - %phi - 1);
                                      2
          (%o3)                  [%phi  - %phi - 1]
          (%i4) algebraic : true;
          (%o4)                         true
          (%i5) ratsimp (e);
          (%o5)                           0

 -- Constant: %pi
     %pi represents the ratio of the perimeter of a circle to its diameter. The numeric value of %pi is the double-precision floating-point value 3.141592653589793d0.

 -- Constant: true
     true represents the Boolean constant of the same name. Maxima implements true by the value T in Lisp.