Live briefing
Everything about Compact element
In the mathematical area of order theory, the compact elements or finite elements of a partially ordered set are those elements that cannot be subsumed by a supremum of any non-empty directed set that does not already contain members above the compact element. This notion of compactness simultaneously generalizes the notions of finite sets in set theory, compact sets in topology, and finitely generated modules in algebra. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Compact elementA 5-minute orientation
- Skim a recent paper: Heavy-element production in a compact object merger observed by JWSTInfluential work since 2022
- Pick up a classic book: Ground Improvement by Deep Vibratory Methods, Second EditionThe most-reprinted book on the subject
- Read the landmark paper: Heavy‐Element Abundances in Blue Compact GalaxiesCited 426 times
- Go sideways: Glossary of order theoryA closely related topic
- Go sideways: Completeness (order theory)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Heavy‐Element Abundances in Blue Compact Galaxies
A Compact Four-Element MIMO/Diversity Antenna With Enhanced Bandwidth
A new LC series element for compact bandpass filter design
Element abundances in blue compact galaxies
Theoretical and finite element study of a compact energy absorber
A compact 1 MV multi-element AMS system
A compact superconducting nanowire memory element operated by nanowire cryotrons
TWO-ELEMENT COMPACT ANTENNAS DECOUPLED WITH A SIMPLE NEUTRALIZATION LINE
🆕 Influential since 2022
Heavy-element production in a compact object merger observed by JWST
Compact Sub-6 GHz Four-Element Flexible Antenna for 5G Applications
Side edge printed eight-element compact MIMO antenna array for 5G smartphone applications
A Compact High-Isolation Four-Element MIMO Antenna with Asymptote-Shaped Structure
Highly Compact Wideband High-Gain Four-Element MIMO Antenna for 5G New Radio IoT
📚 Books worth reading
- 📕Ground Improvement by Deep Vibratory Methods, Second EditionKlaus Kirsch, Fabian Kirsch · 2016
- 📕Ground improvement by vibratory deep compactionKlaus Kirsch · 2010
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…
- 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)…
- 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…
- 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…
- 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…
- Complete partial order In mathematics, the phrase complete partial order is variously used to refer to at least three similar, but distinct, classes of partially ordered sets…
- 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…
- Semilattice In mathematics, a join-semilattice (or upper semilattice) is a partially ordered set that has a join (a least upper bound) for any nonempty finite subset…