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Everything about Bounded quantification
In type theory, bounded quantification refers to universal or existential quantifiers which are restricted ("bounded") to range only over the subtypes of a particular type. Bounded quantification is an interaction of parametric polymorphism with subtyping. Bounded quantification has traditionally been studied in the functional setting of System F<:, but is available in modern object-oriented languages supporting parametric polymorphism (generics) such as Java, C# and Scala. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Bounded quantificationA 5-minute orientation
- Skim a recent paper: A suggestion for the quantification of precise and bounded probability to quantify epistemic uncertainty in scientific assessmentsInfluential work since 2022
- Pick up a classic book: Textbook on contract lawThe most-reprinted book on the subject
- Read the landmark paper: Uncertainty Quantification of Turbulence Model Closure Coefficients for Transonic Wall-Bounded FlowsCited 109 times
- Go sideways: Polymorphism (computer science)A closely related topic
- Go sideways: Generics in JavaA closely related topic
🏆 Landmark papers (most cited)
Uncertainty Quantification of Turbulence Model Closure Coefficients for Transonic Wall-Bounded Flows
Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model
A modest model of records, inheritance, and bounded quantification
Quantification of amplitude modulation in wall-bounded turbulence
Bounded Quantification Is Undecidable
A TVD Uncertainty Quantification Method with Bounded Error Applied to Transonic Airfoil Flutter
The addition of bounded quantification and partial functions to a computational logic and its theorem prover
Greedy Implicit Bounded Quantification
🆕 Influential since 2022
A suggestion for the quantification of precise and bounded probability to quantify epistemic uncertainty in scientific assessments
Uncertainty quantification in resolvent analysis of experimental wall-bounded turbulent flows
Revisiting Decidable Bounded Quantification, via Dinaturality
Single-sensor methane emission quantification under bounded distance priors using differential evolution Monte Carlo
📚 Books worth reading
Textbook on contract lawJill Poole · 2004- 📕Signal processing for magnetic resonance imaging and spectroscopyHong Yan · 2002
Topics in Model Validation and Uncertainty Quantification, Volume 5Todd Simmermacher · 2013
Quantification, nature, and bioavailability of bound ¹⁴C-pesticide residues in soil, plants, and foodFinal Research Co-ordination Meeting on Isotopic Tracer-Aided Studies of Unextractable or Bound Pesticide Residues in Soil, Plants, and Food (1985 Gainesville, Fla.) · 1986- 📕The complement systemMihaela Gadjeva · 2014
NeuroproteomicsKevin K. W. Wang · 2009
A syntax of SerbianLjiljana Progovac · 2005
Engineered zinc finger proteinsJoel P. Mackay, David J. Segal · 2010
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Polymorphism (computer science) In programming language theory and type theory, polymorphism allows a value or variable to have more than one type and allows a given operation to be performed…
- Generics in Java Generics are a facility of generic programming that were added to the Java programming language in 2004 within version J2SE 5.0. They were designed to…
- Function object In computer programming, a function object is a construct allowing an object to be invoked or called as if it were an ordinary function, usually with the…
- Subtyping In programming language theory, subtyping (also called subtype polymorphism or inclusion polymorphism) is a form of type polymorphism. A subtype is a datatype…
- Type variance In computer programming, type variance is the relationship between subtypes of a composite type (e.g. List[Int]) and the subtypes of its components (e…
- Generic programming Generic programming is a style of computer programming in which algorithms are written in terms of data types to-be-specified-later that are then instantiated…
- Type variable In type theory and programming languages, a type variable is a mathematical variable ranging over types. Even in programming languages that allow mutable…
- Data type In computer science and computer programming, a data type (or simply type) is a collection or grouping of data values, usually specified by a set of possible…