Binary relation (English Wikipedia)
Analysis of information sources in references of the Wikipedia article "Binary relation" in English language version.
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ams.org (Global: 434th place; English: 249th place)
mathscinet.ams.org
- Ali Jaoua, Rehab Duwairi, Samir Elloumi, and Sadok Ben Yahia (2009) "Data mining, reasoning and incremental information retrieval through non enlargeable rectangular relation coverage", pages 199 to 210 in Relations and Kleene algebras in computer science, Lecture Notes in Computer Science 5827, Springer MR 2781235
- Anne K. Steiner (1970) Review:Kontakt-Relationen from Mathematical Reviews
- Viktor Wagner (1953) "The theory of generalised heaps and generalised groups", Matematicheskii Sbornik 32(74): 545 to 632 MR 0059267
- C.D. Hollings & M.V. Lawson (2017) Wagner's Theory of Generalised Heaps, Springer books ISBN 978-3-319-63620-7 MR 3729305
archive.org (Global: 6th place; English: 6th place)
- Ernst Schröder (1895) Algebra und Logic der Relative, via Internet Archive
- C. I. Lewis (1918) A Survey of Symbolic Logic, pages 269–279, via internet Archive
- Suppes, Patrick (1972) [originally published by D. van Nostrand Company in 1960]. Axiomatic Set Theory. Dover. ISBN 0-486-61630-4.
- Kunen, Kenneth (1980). Set theory: an introduction to independence proofs. North-Holland. p. 102. ISBN 0-444-85401-0. Zbl 0443.03021.
- Tarski, Alfred; Givant, Steven (1987). A formalization of set theory without variables. American Mathematical Society. p. 3. ISBN 0-8218-1041-3.
arxiv.org (Global: 49th place; English: 31st place)
- "Categories of relations as models of quantum theory". arXiv. Retrieved 2026-06-12.
- East, James; Vernitski, Alexei (February 2018). "Ranks of ideals in inverse semigroups of difunctional binary relations". Semigroup Forum. 96 (1): 21–30. arXiv:1612.04935. doi:10.1007/s00233-017-9846-9. S2CID 54527913.
bnf.fr (Global: 61st place; English: 357th place)
gallica.bnf.fr
- Riguet, Jacques (January 1950). "Quelques proprietes des relations difonctionelles". Comptes rendus (in French). 230: 1999–2000.
books.google.com (Global: 3rd place; English: 3rd place)
- Schmidt, Gunther; Ströhlein, Thomas (2012). Relations and Graphs: Discrete Mathematics for Computer Scientists. Springer Science & Business Media. Definition 4.1.1. ISBN 978-3-642-77968-8.
- Christodoulos A. Floudas; Panos M. Pardalos (2008). Encyclopedia of Optimization (2nd ed.). Springer Science & Business Media. pp. 299–300. ISBN 978-0-387-74758-3.
- Jacobson, Nathan (2009), Basic Algebra II (2nd ed.) § 2.1.
- Nievergelt, Yves (2002), Foundations of Logic and Mathematics: Applications to Computer Science and Cryptography, Springer-Verlag, p. 158.
- Schmidt, Gunther; Ströhlein, Thomas (2012). Relations and Graphs: Discrete Mathematics for Computer Scientists. Springer Science & Business Media. p. 77. ISBN 978-3-642-77968-8.
cuni.cz (Global: 2,654th place; English: 5,018th place)
karlin.mff.cuni.cz
- Flaška, V.; Ježek, J.; Kepka, T.; Kortelainen, J. (2007). Transitive Closures of Binary Relations I (PDF). Prague: School of Mathematics – Physics Charles University. p. 1. Archived from the original (PDF) on 2013-11-02. Lemma 1.1 (iv). This source refers to asymmetric relations as "strictly antisymmetric".
doi.org (Global: 2nd place; English: 2nd place)
- Codd, Edgar Frank (June 1970). "A Relational Model of Data for Large Shared Data Banks" (PDF). Communications of the ACM. 13 (6): 377–387. doi:10.1145/362384.362685. S2CID 207549016. Archived (PDF) from the original on 2004-09-08. Retrieved 2020-04-29.
- Droste, M., & Kuich, W. (2009). Semirings and Formal Power Series. Handbook of Weighted Automata, 3–28. doi:10.1007/978-3-642-01492-5_1, pp. 7-10
- R. Berghammer & M. Winter (2013) "Decomposition of relations on concept lattices", Fundamenta Informaticae 126(1): 37–82 doi:10.3233/FI-2013-871
- East, James; Vernitski, Alexei (February 2018). "Ranks of ideals in inverse semigroups of difunctional binary relations". Semigroup Forum. 96 (1): 21–30. arXiv:1612.04935. doi:10.1007/s00233-017-9846-9. S2CID 54527913.
- Gumm, H. P.; Zarrad, M. (2014). "Coalgebraic Simulations and Congruences". Coalgebraic Methods in Computer Science. Lecture Notes in Computer Science. Vol. 8446. p. 118. doi:10.1007/978-3-662-44124-4_7. ISBN 978-3-662-44123-7.
encyclopediaofmath.org (Global: 7,049th place; English: 5,456th place)
- "Functional relation - Encyclopedia of Mathematics". encyclopediaofmath.org. Archived from the original on 2024-05-26. Retrieved 2024-06-13.
groups.google.com (Global: 2,153rd place; English: 1,445th place)
- John C. Baez (6 Nov 2001). "quantum mechanics over a commutative rig". Newsgroup: sci.physics.research. Usenet: 9s87n0$iv5@gap.cco.caltech.edu. Retrieved November 25, 2018.
mathinsight.org (Global: low place; English: low place)
- "Relation definition – Math Insight". mathinsight.org. Retrieved 2019-12-11.
mit.edu (Global: 476th place; English: 340th place)
ocw.mit.edu
- Meyer, Albert (17 November 2021). "MIT 6.042J Math for Computer Science, Lecture 3T, Slide 2" (PDF). Archived from the original (PDF) on 2021-11-17.
ncatlab.org (Global: low place; English: low place)
- "functional relation in nLab". ncatlab.org. Retrieved 2024-06-13.
semanticscholar.org (Global: 15th place; English: 8th place)
api.semanticscholar.org
- Codd, Edgar Frank (June 1970). "A Relational Model of Data for Large Shared Data Banks" (PDF). Communications of the ACM. 13 (6): 377–387. doi:10.1145/362384.362685. S2CID 207549016. Archived (PDF) from the original on 2004-09-08. Retrieved 2020-04-29.
- East, James; Vernitski, Alexei (February 2018). "Ranks of ideals in inverse semigroups of difunctional binary relations". Semigroup Forum. 96 (1): 21–30. arXiv:1612.04935. doi:10.1007/s00233-017-9846-9. S2CID 54527913.
upenn.edu (Global: 784th place; English: 498th place)
seas.upenn.edu
- Codd, Edgar Frank (June 1970). "A Relational Model of Data for Large Shared Data Banks" (PDF). Communications of the ACM. 13 (6): 377–387. doi:10.1145/362384.362685. S2CID 207549016. Archived (PDF) from the original on 2004-09-08. Retrieved 2020-04-29.
uregina.ca (Global: 9,054th place; English: 5,053rd place)
www2.cs.uregina.ca
- Yao, Y.Y.; Wong, S.K.M. (1995). "Generalization of rough sets using relationships between attribute values" (PDF). Proceedings of the 2nd Annual Joint Conference on Information Sciences: 30–33..
web.archive.org (Global: 1st place; English: 1st place)
- Meyer, Albert (17 November 2021). "MIT 6.042J Math for Computer Science, Lecture 3T, Slide 2" (PDF). Archived from the original (PDF) on 2021-11-17.
- Codd, Edgar Frank (June 1970). "A Relational Model of Data for Large Shared Data Banks" (PDF). Communications of the ACM. 13 (6): 377–387. doi:10.1145/362384.362685. S2CID 207549016. Archived (PDF) from the original on 2004-09-08. Retrieved 2020-04-29.
- "Functional relation - Encyclopedia of Mathematics". encyclopediaofmath.org. Archived from the original on 2024-05-26. Retrieved 2024-06-13.
- Flaška, V.; Ježek, J.; Kepka, T.; Kortelainen, J. (2007). Transitive Closures of Binary Relations I (PDF). Prague: School of Mathematics – Physics Charles University. p. 1. Archived from the original (PDF) on 2013-11-02. Lemma 1.1 (iv). This source refers to asymmetric relations as "strictly antisymmetric".
wikibooks.org (Global: 7,048th place; English: low place)
en.wikibooks.org
Relative simultaneity at Wikibooks
worldcat.org (Global: 4th place; English: 4th place)
search.worldcat.org
- Hans Hermes (1973). Introduction to Mathematical Logic. Hochschultext (Springer-Verlag). London: Springer. ISBN 3540058192. ISSN 1431-4657. Sect.II.§1.1.4
zbmath.org (Global: 2,089th place; English: 1,141st place)
- Kunen, Kenneth (1980). Set theory: an introduction to independence proofs. North-Holland. p. 102. ISBN 0-444-85401-0. Zbl 0443.03021.
zobodat.at (Global: 2,382nd place; English: 3,444th place)
- Georg Aumann (1971). "Kontakt-Relationen". Sitzungsberichte der mathematisch-physikalischen Klasse der Bayerischen Akademie der Wissenschaften München. 1970 (II): 67–77.