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Everything about Directed set
Mathematical ordering with upper bounds
In mathematics, a directed set is a preordered set in which every finite subset has an upper bound. In other words, it is a non-empty preordered set such that for any and in there exists in with and. A directed set's preorder is called a direction. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Directed setA 5-minute orientation
- Skim a recent paper: Effect of freeze-dried protectants on the survival rate and fermentation performance of fermented milk's directed vat set startersInfluential work since 2022
- Pick up a classic book: Playing period playsThe most-reprinted book on the subject
- Read the landmark paper: Informed training set design enables efficient machine learning-assisted directed protein evolutionCited 227 times
- Go sideways: Glossary of order theoryA closely related topic
- Go sideways: Upper and lower setsA closely related topic
📖 Definitions
Noun A set equipped with a preorder such that for any two elements a and b there is an element c such that a ≤ c and b ≤ c.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Informed training set design enables efficient machine learning-assisted directed protein evolution
A fixed-parameter algorithm for the directed feedback vertex set problem
The identification of a minimal feedback vertex set of a directed graph
Stopping rules and tactics for processes indexed by a directed set
Convergence of martingales with a directed index set
Set connectivity problems in undirected graphs and the directed steiner network problem
Directed Subset Feedback Vertex Set Is Fixed-Parameter Tractable
The Cohomological Dimension of a Directed Set
🆕 Influential since 2022
Effect of freeze-dried protectants on the survival rate and fermentation performance of fermented milk's directed vat set starters
Preparation and Application of Directed Vat Set Indigenous Freeze-Drying Lentilactobacillus hilgardii Q19 Starter in Winemaking
Interictal discharges delay target‐directed eye movements and impair attentional set‐shifting in children with epilepsy
Swarm intelligence, exact and matheuristic approaches for minimum weight directed dominating set problem
Preparation of a novel biofilm directed vat set (DVS) starter and its preliminary application in pickled radish
📚 Books worth reading
Playing period playsLyn Oxenford · 1955
Theatrical design and productionJ. Michael Gillette · 1987
Technical design solutions for theatreDon Harvey · 2002
Modern theatre practiceHubert C. Heffner · 1935
Technical theater for nontechnical peopleDrew Campbell · 1999
TV scenic designGerald Millerson · 1997
Understanding Design in Film ProductionBarbara Freedman Doyle · 2019- 📕Theatre Artisans and Their CraftRafael Jaen · 2019
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- 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…
- Upper and lower sets In mathematics, an upper set S {\displaystyle S} of a partially ordered set X {\displaystyle X} is a subset such that if s is in S and if x in X is larger…
- Partially ordered set In mathematics, especially order theory, a partial order on a set is an arrangement such that, for certain pairs of elements, one precedes the other. The…
- Lattice (order) A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered…
- 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…
- Zorn's lemma Zorn's lemma, also known as the Kuratowski–Zorn lemma, is a proposition of set theory. It states that a partially ordered set containing upper bounds for…
- 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)…
- Riesz space In mathematics, a Riesz space, lattice-ordered vector space or vector lattice is a partially ordered vector space where the order structure is a lattice…