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The Maxima on-line user's manual

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Rreduce Calculator

Rreduce

Function: rreduce (<F>, <s>)

Function: rreduce (<F>, <s>, <s_{n + 1}>) 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 lreduce, tree_reduce, and xreduce.

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

(%o1)                                true
(%i2) 

Rreduce Example

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f(x,y):=10*x+y;

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

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f(x,y):=10*x+y;

rreduce(f,[1,2,3]);

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