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Everything about Weak ordering
Mathematical ranking of a set
In order theory, a weak ordering is a mathematical formalization of the intuitive notion of a ranking of a set, some of whose members may be tied with each other. Weak orders are a generalization of totally ordered sets and are in turn generalized by (strictly) partially ordered sets and preorders. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Weak orderingA 5-minute orientation
- Skim a recent paper: Sulfate Derivatives with Heteroleptic Tetrahedra: New Deep‐Ultraviolet Birefringent Materials in which Weak Interactions Modulate Functional Module OrderingInfluential work since 2022
- Pick up a classic book: Aviation safetyThe most-reprinted book on the subject
- Read the landmark paper: Weak interfacial water ordering on isostructural hematite and corundum (001) surfacesCited 112 times
- Go sideways: PreorderA closely related topic
- Go sideways: Homogeneous relationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Weak interfacial water ordering on isostructural hematite and corundum (001) surfaces
Molecular Ordering and the Direct Measurement of Weak Proton−Proton Dipolar Interactions in a Rubber Network
Weak ordering—a new definition
Weak ferromagnetic ordering in Ca doped polycrystalline BiFeO3
Weak ferromagnetic ordering in the superconducting state of ErNi211B2C
Weak Antiferromagnetic Ordering Induced by Dzyaloshinskii-Moriya Interaction and Pure Magnetic Reflections in MnSi-Type Crystals
Gd doping induced weak ferromagnetic ordering in ZnS nanoparticles synthesized by low temperature co-precipitation technique
Rationalisation of weak ferromagnetism in manganese( iii ) chains: the relation between structure and ordering phenomena
🆕 Influential since 2022
Sulfate Derivatives with Heteroleptic Tetrahedra: New Deep‐Ultraviolet Birefringent Materials in which Weak Interactions Modulate Functional Module Ordering
Weak interchain interaction-dominated magnetic responses in water-extended cobalt( ii )-chains: from magnetic ordering to single-chain magnet
Quantum-Ordering Ambiguities in Weak Chern—Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
Sulfate Derivatives with Heteroleptic Tetrahedra: New Deep‐Ultraviolet Birefringent Materials in which Weak Interactions Modulate Functional Module Ordering
Approximate weak efficiency of the set-valued optimization problem with variable ordering structures
📚 Books worth reading
- 📕Aviation safetyUnited States. General Accounting Office · 1986
- 📕Contract managementUnited States. General Accounting Office · 1997
Principles and political orderB. A. Haddock, Peri Roberts · 2006
Subsystems of Second Order ArithmeticStephen G. Simpson · 1998- 📕US-Indonesian Hegemonic BargainingTimo Kivimäki · 2017
The politics of anti-Westernism in AsiaCemil Aydin · 2007
Empires of the WeakJason Sharman, Sharman, J. C. · 2019
The Myth of International OrderArjun Chowdhury · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Preorder In mathematics, in particular in order theory, a preorder or quasiorder is a binary relation that is reflexive and transitive. The name preorder is meant…
- Homogeneous relation In mathematics, a homogeneous relation (also called endorelation) on a set X is a binary relation between X and itself, i.e. it is a subset of the Cartesian…
- Equivalence relation In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric, and transitive. The equipollence relation between line segments…
- Transitive relation In mathematics, a binary relation R on a set X is transitive if, for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates…
- 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…
- Binary relation In mathematics, a binary relation associates some elements of one set called the domain with some elements of another set (possibly the same) called the…
- 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…
- Pseudo-order In constructive mathematics, pseudo-order is a name given to certain binary relations appropriate for modeling continuous orderings. In classical mathematics…