Sentence examples for mapping a pair from inspiring English sources

An algebraic hyperstructure (henceforth simply called a hyperalgebra) is a set endowed with one or more hyperoperations, i.e., multi-valued operations mapping a pair of elements to a set of elements.

Therefore, when vectors from the input space are mapped to a feature space xi↦φ xi) using the nonlinear transformation φ, their inner products in the feature space becomes 〈φ xi), φ(xj)〉↦k xi,xj) where k : H×H↦ℜ is a function mapping a pair of points in H to the real set ℜ.

In the back seat was a jumble of maps, a pair of socks and a box of tissues.

In 1515 the noted German painter Albrecht Dürer drew the first printed star maps, a pair of beautiful planispheres closely patterned on the Vienna manuscripts.

You'll need the right kit: a cagoule, a map, a pair of comfortable shoes and some complex carbohydrates in your bag for slow release energy (mealbreaks are for wimps).

The concept of fuzzy hyperoperation is a natural extension of crisp hyperoperation: as already mentioned, a crisp hyperoperation maps a pair of elements to a crisp subset of elements; a fuzzy hyperoperation maps a pair of elements to a fuzzy subset.

His logic is based on functional application rather than predication; so, a binary relation is analyzed as a binary function that maps a pair of arguments to a truth-value.

Frege, too, had primitive identity statements; for him, identity is a binary function that maps a pair of objects to The True whenever those objects are the same object.

Here, the idea is to replace both, the feature encoding φ and the dot product by one function k: χ × χ → ℜ, which directly maps a pair of objects to a real number.

The basic sentences of Frege's system are constructed using the expression ", which signifies a binary function that maps a pair of objects x and y to The True if x is identical to y and maps x and y to The False otherwise.

A kernel function, k maps a pair of input points x and x ′ into real numbers.