Function File: retval = einstein_sum (x)
Function File: retval = einstein_sum (x, y)

Return the Einstein sum of the input. The Einstein sum of two real scalars x and y is: (x + y) / (1 + x * y)

For one vector argument, apply the Einstein sum to all of the elements of the vector. (The Einstein sum is associative.) For one two-dimensional matrix argument, return a vector of the Einstein sum of each column.

For two vectors or matrices of identical dimensions, or for one scalar and one vector or matrix argument, return the pair-wise Einstein sum.

See also: algebraic_product, algebraic_sum, bounded_difference, bounded_sum, drastic_product, drastic_sum, einstein_product, hamacher_product, hamacher_sum.

Package: fuzzy-logic-toolkit