Everything about Operator associativity
Property determining how equal-precedence operators are grouped
In programming language theory, the associativity of an operator is a property that determines how operators of the same precedence are grouped in the absence of parentheses. If an operand is both preceded and followed by operators, and those operators have equal precedence, then the operand may be used as input to two different operations. The choice of which operations to apply the operand to, is determined by the associativity of the operators. Operators may be associative, left-associative, right-associative or non-associative. The associativity and precedence of an operator is a part of the definition of the programming language; different programming languages may have different associativity and precedence for the same type of operator. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Operator associativityA 5-minute orientation
- Skim a recent paper: Genetic Algebras generated by b−bistochastic Quadratic Stochastic Operators: The Character and AssociativityInfluential work since 2022
- Pick up a classic book: CompTIA A+ Complete Study GuideThe most-reprinted book on the subject
- Read the landmark paper: Associativity of One-Loop Corrections to the Celestial Operator Product ExpansionCited 47 times
- Go sideways: Order of operationsA closely related topic
- Go sideways: Operator-precedence parserA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Associativity of One-Loop Corrections to the Celestial Operator Product Expansion
On the associativity of 1-loop corrections to the celestial operator product in gravity
Associativity of the operator product expansion
Hom Functor and the Associativity of Tensor Products of Modules for Vertex Operator Algebras
Classification of the Associativity Equations with A First-Order Hamiltonian Operator
Making Associativity Operational
Associativity and Operator Hamiltonian Quantization of Gauge Theories
Complete characterization of symmetric Kubo-Ando operator means satisfying Molnár's weak associativity
🆕 Influential since 2022
Genetic Algebras generated by b−bistochastic Quadratic Stochastic Operators: The Character and Associativity
Misconceptions of the order of operations and associativity use
Diagrammatic calculus and generalized associativity for higher-arity tensor operations
Associativity and international cooperation in social projects
📚 Books worth reading
CompTIA A+ Complete Study GuideQuentin Docter · 2006
CompTIA A+ Complete Deluxe Study GuideQuentin Docter · 2009
Treatise on co-operative savings and loan associationsSeymour Dexter · 1889
An Irish communeEdward Thomas Craig · 1920
Churchill's Ministry of Ungentlemanly WarfareGiles Milton · 2016
Introduction to Vertex Operator Algebras and Their RepresentationsJames Lepowsky, Haisheng Li · 2003
Where socialism failedWilliams, Graeme. · 1912- 📕Where socialism failedStewart Grahame · 1913
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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