3 in notes

mai'u _VUhU3 experimental cmavo

unary mekso operator: signum function

Defined on the space which is comprised of the set of exactly all real numbers equipped with usual ordering convention. This function maps any positive input number to 1 and maps any negative number to -1. All other properties are purely by convention (including its behavior at 0 and in the complex plane if so extended; the usual cultural default convention is for it to map 0 to 0 and variation from this convention should be made very clear). It should probably not be generalized to include the Levi-Civita symbol or other "sign" functions. See also: "mai'u'au", "mai'u'e", "mai'u'ei".

• jbovlaste

In notes:

mai'u'au (exp!)

unary mekso operator: parity of function; if the input is a unary real-valued function X₁ which is defined on a subset of the reals, then the output is 1 is X₁ is even, -1 if X₁ is odd, and 0 otherwise.

mai'u'e (exp!)

mekso unary operator: for permutation X₁ as input, the output is (-1)^N(X₁₎, where N(s) is the number of inversions in permutation s.

mai'u'ei (exp!)

mekso unary operator: Levi-Civita symbol; for input n-tuple (a_{1, a} ... , a_n), where n is a strictly positive integer, the output is \varepsilon_a, where \varepsilon is the Levi-Civita symbol under the convention of mapping (1, 2, ..., n) to 1.