pairing$57254$ - definition. What is pairing$57254$
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%ما هو (من)٪ 1 - تعريف

FUNCTION WHICH ENCODES TWO NATURAL NUMBERS INTO A SINGLE NATURAL NUMBER
Cantor pairing function; Cantor's pairing function
  • The Cantor pairing function assigns one natural number to each pair of natural numbers
  • A diagonally incrementing "snaking" function, from same principles as Cantor's pairing function, is often used to demonstrate the countability of the rational numbers.

Pairing heap         
TYPE OF HEAP DATA STRUCTURE WITH RELATIVELY SIMPLE IMPLEMENTATION AND EXCELLENT PRACTICAL AMORTIZED PERFORMANCE
Pairing Heap
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.
Non-canonical base pairing         
  • Figure 7: This depicts a hairpin structure found in pre m-RNA
  • Figure 6: Four examples of wobble base pairs.
Non canonical base pairing
Non-canonical base pairing occurs when nucleobases hydrogen bond, or base pair, to one another in schemes other than the standard Watson-Crick base pairs (which are adenine (A) -- thymine (T) in DNA, adenine (A) -- uracil (U) in RNA, and guanine (G) -- cytosine (C) in both DNA and RNA). There are three main types of non-canonical base pairs: those stabilized by polar hydrogen bonds, those having interactions among C−H and O/N groups, and those that have hydrogen bonds between the bases themselves.
Axiom of pairing         
AXIOM
Axiom of the unordered pair; Axiom of pairs; Pairing axiom; Axiom pairing
In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom of pairing is one of the axioms of Zermelo–Fraenkel set theory. It was introduced by as a special case of his axiom of elementary sets.

ويكيبيديا

Pairing function

In mathematics, a pairing function is a process to uniquely encode two natural numbers into a single natural number.

Any pairing function can be used in set theory to prove that integers and rational numbers have the same cardinality as natural numbers.