Live briefing
Everything about Complete partial order
Mathematical phrase
In mathematics, the phrase complete partial order is variously used to refer to at least three similar, but distinct, classes of partially ordered sets, characterized by particular completeness properties. Complete partial orders play a central role in theoretical computer science: in denotational semantics and domain theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Complete partial orderA 5-minute orientation
- Skim a recent paper: Partial Vaginectomy, Complete Vaginectomy, Partial Vestibule-Vaginectomy, Vulvo-Vestibule-Vaginectomy and Vulvo-Vestibulectomy: Different Surgical Procedure in Order to Better Approach Vaginal DiseasesInfluential work since 2022
- Pick up a classic book: CarminaThe most-reprinted book on the subject
- Read the landmark paper: Partial and complete cyclic ordersCited 22 times
- Go sideways: Completeness (order theory)A closely related topic
- Go sideways: Glossary of order theoryA closely related topic
📖 Definitions
Noun Three similar yet distinct classes of partially ordered sets, characterized by their completeness.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Partial and complete cyclic orders
A characterization of complete integrability for partial differential equations of first order
Partial order complementation graphs
A complete theoretical framework for inferring horizontal gene transfers using partial order sets
General complementarities on complete partial orders
The Krein-Krasnoselskii-Kooi Condition for a Second Order Hyperbolic Partial Differential Equation with Complete Second Member
A partial order that is not rank/trace complete
Boundary value problems for complete partial differential equations of variable order
🆕 Influential since 2022
📚 Books worth reading
CarminaHorace · 1712
The history of England from the accession of James the Second [2/5]Thomas Babington Macaulay · 1849
Artificial intelligenceStuart J. Russell, Peter Norvig · 1994
Natural religionF. Max Müller · 1888
Art & religionVon Ogden Vogt · 1921
Mathematical Methods in the Physical SciencesMary L. Boas, Mary Layne Boas · 1966
The Conspirators HierarchyJohn Coleman · 1992
An Introduction to Probability Theory and Its Applications [2/2]William Feller · 1966
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Completeness (order theory) In the mathematical area of order theory, completeness properties assert the existence of certain infima or suprema of a given partially ordered set (poset)…
- Glossary of order theory Look up Appendix:Glossary of order theory in Wiktionary, the free dictionary. This is a glossary of some terms used in various branches of mathematics…
- Scott continuity In mathematics, given two partially ordered sets P and Q, a function f: P → Q between them is Scott-continuous (named after the mathematician Dana Scott)…
- Domain theory Domain theory is a branch of mathematics that studies special kinds of partially ordered sets (posets) commonly called domains. Consequently, domain theory…
- Complete lattice In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A conditionally complete…
- Continuous poset In order theory, a continuous poset is a partially ordered set in which every element is the directed supremum of elements approximating it. Let a , b…
- Scott domain In the mathematical fields of order and domain theory, a Scott domain is an algebraic, bounded-complete and directed-complete partial order (dcpo). They…
- Order theory Order theory is a branch of mathematics that investigates the intuitive notion of order using binary relations. It provides a formal framework for describing…