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SciMax Toolbox >> rreduce

rreduce

Maxima Function

Calling Sequence

rreduce (F, s)
rreduce(F,s,s_{n + 1})

Description

Extends the binary function F to an n-ary function by composition, where s is a list.

rreduce(F, s) returns F(s_1, ... F(s_{n - 2}, F(s_{n - 1}, s_n))). When the optional argument s_{n + 1} is present, the result is equivalent to rreduce(F, endcons(s_{n + 1}, s)).

The function F is first applied to the rightmost list elements, thus the name "rreduce".

See also , , and .

Examples:

rreduce without the optional argument.

(%i1) rreduce (f, [1, 2, 3]);
(%o1)                     f(1, f(2, 3))
(%i2) rreduce (f, [1, 2, 3, 4]);
(%o2)                  f(1, f(2, f(3, 4)))

rreduce with the optional argument.

(%i1) rreduce (f, [1, 2, 3], 4);
(%o1)                  f(1, f(2, f(3, 4)))

rreduce applied to built-in binary operators. // is the division operator.

(%i1) rreduce ("^", args ({a, b, c, d}));
                                 d
                                c
                               b
(%o1)                         a
(%i2) rreduce ("//", args ({a, b, c, d}));
                               a c
(%o2)                          ---
                               b d
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