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A pairing heap is a type of heap data structure with relatively simple implementation and excellent practical amortized performance, introduced by Michael Fredman, Robert Sedgewick, Daniel Sleator, and Robert Tarjan in 1986. [1] Pairing heaps are heap-ordered multiway tree structures, and can be considered simplified Fibonacci heaps.
Pairing, sometimes known as bonding, is a process used in computer networking that helps set up an initial linkage between computing devices to allow communications between them. The most common example is used in Bluetooth , where the pairing process is used to link devices like a Bluetooth headset with a mobile phone .
Any scalar product on a real vector space V is a pairing (set M = N = V, R = R in the above definitions).. The determinant map (2 × 2 matrices over k) → k can be seen as a pairing .
A pair of lavender Samsung Galaxy Buds 2 Pro with custom eartips The Galaxy Buds 2 Pro (SM-R510) were announced on August 10, 2022, at Galaxy Unpacked alongside the Galaxy Watch 5 . The Buds 2 Pro were seen as the successor to the Buds Pro, which were discontinued following the announcement.
The axiom of pairing is generally considered uncontroversial, and it or an equivalent appears in just about any axiomatization of set theory. Nevertheless, in the standard formulation of the Zermelo–Fraenkel set theory, the axiom of pairing follows from the axiom schema of replacement applied to any given set with two or more elements, and thus it is sometimes omitted.
Pair production is the creation of a subatomic particle and its antiparticle from a neutral boson. Examples include creating an electron and a positron, a muon and an antimuon, or a proton and an antiproton. Pair production often refers specifically to a photon creating an electron–positron pair near a