The phrase "a pairing function" is correct and usable in written English.
It can be used in mathematical or computer science contexts to refer to a function that uniquely maps pairs of elements to a single element.
Example: "In set theory, a pairing function is often used to encode two natural numbers into a single natural number."
Alternatives: "a pairing method" or "a pairing algorithm".
One option is to proceed as in mathematics and simply postulate the existence of a pairing function as an abstract mathematical object.
This limitation can be overcome (at least for technical purposes) if there is a pairing function on the relevant domain, that is, if there is a function π such that π u, v) = π u′, v′) just in case u = u′ and v = v′.
The group G is reconstructed from the action through its (weak) 1-cohomology set endowed with a canonical pairing function.
a Pair-correlation function (Eq. 1) of nanopillar tip positions as a function of distance between pillars for bSi-1, bSi-2, and bSi-3 substrate.
Interestingly, a similar pattern can be found in the gene Pax3/7, the products of which functioned in neurogenesis in the Protostome Deuterostome LCA but gained a pair-rule function in the common arthropod ancestors [56].
The input-output method considered in this paper is the admissibility of a pair of function spaces.
A pair correlation function was used to determine the coupling between hydrogen atoms of PEG, PMMA and cyclodextrine obtained by 2D NOESY NMR.
The interaction between guest and water molecules can be described by a pair potential function, and the cavity can be treated as perfectly spherical.
In comparison with Zr46Cu37.6Ag8.4Al8, the increase in Zr content in Zr53.8Cu31.6Ag7.0Al7.6 results in an increased portion of the Zr Zr atomic pair in the nearest shell of a pair distribution function.
Structure is assessed with diffraction data in the reciprocal space (coherence lengths La and Lc), and in the real space, using a pair distribution function analysis, to finely describe the in-plane features.
The contract is a pair of function (q,π) : Θ → Q × ℜ that can be viewed as a rule relating the choice of q and π about sources' type θ.
