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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 ...

...[generalization]] of the [[associative law]] to [[arity|{{math|''n''}}-ary operations]]. ...jacent elements are bracketed inside a [[sequence (mathematics)|sequence]] of five operands. ...

..., each digit has its own sign that is not necessarily the same as the sign of the number represented. When digits have signs, that RBR is also a [[signed ...n table. This table indicates the mathematical value of each possible pair of bits. ...

...are the [[Turing machine|Turing-machine]] model and the [[Arithmetic model of computation|arithmetic model]]. A '''strongly-polynomial time algorithm''' ...y- and weakly-polynomial time is when the inputs to the algorithms consist of integer or rational numbers. It is particularly common in [[Optimization (m ...

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

...l]], and [[Symmetric relation|symmetric]] ([[up to]] some appropriate kind of [[Mathematical structure|structural]] equivalence). * [[Tensor product|Tensor product of vector spaces]], an operation on [[Vector space|vector spaces]] (the origin ...

...ee children per node|unrooted trees with three neighbors per node|unrooted binary tree}} :[[Image:Ternary tree.png|right|thumb|A simple ternary tree of size 10 and height 2.]] ...

...s a variant of the [[binomial heap]] that supports constant-time insertion operations in the worst case, rather than [[amortized time]]. ...on the [[binary number system]], skew binary heaps are based on the [[skew binary number system]].<ref>{{citation ...

...]], the '''quasi-commutative property''' is an extension or generalization of the general [[commutative property]]. This property is used in specific app ...0002-9947-1934-1501746-8.pdf On quasi-commutative matrices. ''Transactions of the American Mathematical Society, 36''(2), 327–340].</ref> as follows. Giv ...

{{Short description|Collection of groups}} ..."set of all groups", it is necessary to work with the more general concept of ''[[Class_(set_theory)|class]]''. ...

...AVL trees and [[red–black tree]]s, which all fall into a common framework of '''rank balanced trees'''. ...binary search trees, WAVL trees can handle insertion, deletion, and search operations in time {{math|''O''(log ''n'')}} per operation.<ref name="gt">{{citation|c ...

...ems: 2nd International Conference on Information Processing and Management of Uncertainty in Knowledge Based Systems IPMU '88. Urbino, Italy, July 4-7, 1 Let <math>G = (V, E)</math> be an [[undirected graph]]. The graph entropy of <math>G</math>, denoted <math>H(G)</math> is defined as ...

|Section2={{Chembox Properties .... P. |title=Magnetic properties of neptunium diarsenide |journal=[[Journal of Magnetism and Magnetic Materials]] |date=1982 |volume=30 |issue=2 |pages=26 ...

.... At each node the symbols of the string are projected onto two partitions of the alphabet, and a bitvector denotes to which partition each symbol belong ...alizes the <math>\mathbf{rank}_q</math> and <math>\mathbf{select}_q</math> operations defined on [[Succinct data structure#Succinct dictionaries|bitvectors]] to ...

|type=binary tree/heap ...hing/algoritmedesign_f03/Artikler/02/Atkinson86.pdf|journal=Communications of the ACM|language=en|publication-date=1986|volume=29|issue=10|pages=996–1000 ...

...a generalization of a [[constraint satisfaction problem]] (CSP) where some of the [[constraint (mathematics)|constraint]]s can be violated (according to ...mvar|X}} is a finite set of discrete variables, {{mvar|C}} is a finite set of soft constraints and <math>k>0</math> is either a natural integer or <math> ...

{{Short description|System of arithmetic in proof theory}} ...17.</ref> is the system of arithmetic with the usual elementary properties of 0,&nbsp;1,&nbsp;+,&nbsp;×,&nbsp;<math>x^y</math>, together with [[mathemati ...

...ial objects with the same counting function including [[Dyck path]]s and [[binary tree]]s. The problem of sorting an input sequence using a stack was first posed by {{harvtxt|Knuth| ...

...irst11=Hugo Torres |last12=Zavattaro |first12=Gianluigi |title=Foundations of Session Types and Behavioural Contracts |journal=ACM Computing Surveys |dat ...t2=Nobuko |title=Multiparty session types, beyond duality |journal=Journal of Logical and Algebraic Methods in Programming |date=June 2018 |volume=97 |pa ...

{{Short description|Binary operation in graph theory}} ...expansion of the resulting graph is only slightly worse than the expansion of <math>G</math>. ...