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In [[mathematics]], particularly [[abstract algebra]], a [[binary operation]] • on a [[set (mathematics)|set]] is '''flexible''' if it satisf ...gma]] (that is, a set equipped with a binary operation) is flexible if the binary operation with which it is equipped is flexible. Similarly, a [[nonassocia ...

...written as 1000, 201 and 122. Each number can be written uniquely in skew binary canonical form where there is only '''at most''' one instance of the digit Canonical skew binary representations of the numbers from 0 to 15 are shown in following table:<r ...

...[generalization]] of the [[associative law]] to [[arity|{{math|''n''}}-ary operations]]. [[Category:Properties of binary operations]] ...

In [[mathematics]], '''demonic composition''' is an operation on [[binary relation]]s that is similar to the ordinary [[composition of relations]] bu Suppose <math>R</math> is a [[binary relation]] between <math>X</math> and <math>Y</math> and <math>S</math> is ...

{{Short description|Concept in operations management & industrial engineering}} In [[operations management]] and [[industrial engineering]], '''production flow analysis''' ...

...<math>k</math> keys (or priorities), the K-D heap organizes them in to a [[binary tree]] which satisfies two conditions: * It is a ''complete binary tree'', which means it is full except for possibly the last layer, where it ...

...ouis Philippe |last=Lessard |title=Fast Arithmetic on FPGA Using Redundant Binary Apparatus |year=2008 |url=http://www.louislessard.com/rbin/ |access-date=20 As in conventional binary representation, the [[integer]] value of a given representation is a weight ...

...two elements, sixteen [[binary operation]]s can be defined in ''A''. These operations are shown in the table below. In the table, a [[Matrix (mathematics)|matrix indicates a binary operation on ''A'' having the following [[Cayley table]]. ...

...(also known as the [[min-plus algebra]]), or a generalization thereof. The operations are defined as follows for <math>x,y \in \mathbb{R} \cup \{\infty\}</math>: ...d that with <math>\infty</math> as the [[additive identity]], these binary operations on <math>\mathbb{R} \cup \{\infty\}</math> form a [[semiring]]. ...

In [[mathematics]], '''vector multiplication''' may refer to one of several operations between two (or more) [[Euclidean vector|vectors]]. It may concern any of t * [[Dot product]] – also known as the "scalar product", a binary operation that takes two vectors and returns a [[scalar (mathematics)|scala ...

...ithm runs in polynomial time in the arithmetic model, and in addition, the binary length of all inputs, outputs, and intermediate values is polynomial in the ...el of computation]]. In this [[model of computation]] the basic arithmetic operations (addition, subtraction, multiplication, division, and comparison) take a un ...

The '''carry-less product''' of two [[binary number]]s It can be used to model operations over [[finite field]]s, ...

{{Short description|Arithmetic operations}} ...on (mathematics)|operations]] on digits are defined as the [[max and min]] operations. Thus, in lunar arithmetic, ...

...l magma''') is a set endowed with a [[Binary operation#Terminology|partial binary operation]].<ref name="Silver">{{cite book|editor=Ben Silver|title=Nineteen ...hor1=E.S. Ljapin|author2=A.E. Evseev|title=The Theory of Partial Algebraic Operations|year=1997|publisher=Springer Netherlands|isbn=978-0-7923-4609-8}} ...

...[matrix addition]] and [[matrix multiplication]] as its [[binary operation|operations]]. ...

...ociative]]. The naive procedure for verification of the associativity of a binary operation specified by a Cayley table, which compares the two products that ...' by a Cayley table. Choosing some element ''a'' in ''A'', two new binary operations are defined in ''A'' as follows: ...

{{short description|Detects a given configuration (or pattern) in a binary image}} ...''' is an operation that detects a given configuration (or pattern) in a [[binary image]], using the morphological [[erosion (morphology)|erosion]] operator ...

...L,R\rangle</math> where <math>*</math> and <math>(-,-)</math> are [[binary operations]], <math>L, R</math>, and <math>e</math> are constants satisfying the follo ...

...operation (Boolean algebra)|logical operations]] using [[Binary operation|binary or dyadic processes]]. These include ''AND'' (<math>\land</math>) and OR (< ...

| title = Efficient Merge and Insert Operations for Binary Heaps and Trees Throughout this article, it is assumed that ''A'' and ''B'' are binary heaps with |''A''| ≤ |''B''|. ...