Inner

Inner(f, x, y, g)

computes a generalized inner product of x and y, using a multiplication function f and an addition function g.

See

• Wikipedia - Inner product space

Examples

>> Inner(f, {a, b}, {x, y}, g)
g(f(a, x), f(b, y))

Inner can be used to compute a dot product:

>> Inner(Times, {a, b}, {c, d}, Plus) == {a, b} . {c, d}
True

The inner product of two boolean matrices:

>> Inner(And, {{False, False}, {False, True}}, {{True, False}, {True, True}}, Or)
{{False, False}, {True, True}}

Implementation status

• ✅ - full supported

Github

• Implementation of Inner