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Everything about Homogeneous relation
Binary relation over a set and itself
In mathematics, a homogeneous relation on a set X is a binary relation between X and itself, i.e. it is a subset of the Cartesian product X × X. This is commonly phrased as "a relation on X" or "a (binary) relation over X". An example of a homogeneous relation is the relation of kinship, where the relation is between people. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Homogeneous relationA 5-minute orientation
- Skim a recent paper: New exact Betchov-like relation for the helicity flux in homogeneous turbulenceInfluential work since 2022
- Pick up a classic book: Negotiating the crisisThe most-reprinted book on the subject
- Read the landmark paper: A PERIODIC REACTION IN HOMOGENEOUS SOLUTION AND ITS RELATION TO CATALYSIS.Cited 415 times
- Go sideways: Relation (mathematics)A closely related topic
- Go sideways: Transitive relationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A PERIODIC REACTION IN HOMOGENEOUS SOLUTION AND ITS RELATION TO CATALYSIS.
MOF catalysis in relation to their homogeneous counterparts and conventional solid catalysts
Scaling-Relation-Based Analysis of Bifunctional Catalysis: The Case for Homogeneous Bimetallic Alloys
Titanium-monosubstituted polyoxometalates: relation between homogeneous and heterogeneous Ti-single-site-based catalysis
Relation of dispersivity to properties of homogeneous saturated repacked soil columns
A mathematical relation between volume strain, elongational strain and stress in homogeneous deformation
Relation between hydraulic permeability and diffusion in homogeneous swollen membranes
Enabling Homogeneous GNNs to Handle Heterogeneous Graphs via Relation Embedding
🆕 Influential since 2022
New exact Betchov-like relation for the helicity flux in homogeneous turbulence
A homogeneous multimodality sentence representation for relation extraction
A New Constitutive Relation for Homogeneous Isotropic Materials by FEM Model of the Brazilian Splitting Test
Estimating equibiaxial stress-strain relation based on non-homogeneous biaxial measurement
The X-ray--UV relation does not evolve in homogeneous quasar samples
📚 Books worth reading
Negotiating the crisisPatricia Geist, Monica Hardesty · 1992
Professional Review Guide for the CCS Examination, 2013 EditionPatricia Schnering · 2013
2003 Drg Guide BookMedicode · 2002
DRG Expert 2008 (Drg Expert)Ingenix · 2007
DRG Desk Reference 2006Ingenix · 2005
Use of medical care in the Rand Health Insurance ExperimentKathleen N. Lohr · 1986
Hodge theory, complex geometry, and representation theoryM. Green · 2013
Hodge theory, complex geometry, and representation theoryNSF/CBMS Regional Conference in the Mathematical Sciences: Hodge Theory, Complex Geometry, and Representation Theory (2012 Fort Worth, Tex.) · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Relation (mathematics) In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. As an example, "is less than" is…
- 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…
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- 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…
- Weak ordering 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…
- Szpilrajn extension theorem In order theory, the Szpilrajn extension theorem (also called the order-extension principle), proved by Edward Szpilrajn in 1930, states that every partial…
- Reflexive relation In mathematics, a binary relation R on a set X is reflexive if it relates every element of X to itself. An example of a reflexive relation is the relation…
- 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…