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...d ''y'' of a set ''P'' are said to be '''comparable''' with respect to a [[binary relation]] ≤ if at least one of ''x'' ≤ ''y'' or ''y'' ≤ ''x'' is tru A [[binary relation]] on a set <math>P</math> is by definition any subset <math>R</mat

{{short description|Reflexive and transitive binary relation}} {{About|binary relations|the graph vertex ordering|depth-first search|purchase orders for unreleased

...] in which any two elements are comparable. That is, a total order is a [[binary relation]] <math>\leq</math> on some [[Set (mathematics)|set]] <math>X</mat ...two distinct elements are comparable. That is, a strict total order is a [[binary relation]] <math><</math> on some [[Set (mathematics)|set]] <math>X</math>,

...ents ''x'',''y'' are in its [[Image (mathematics)#Generalization to binary relations|range]], and ''xRy'' ∨ ''yRx'' holds. Since ''R'' is symmetric on its ran ...chen Burghardt | title=Simple Laws about Nonprominent Properties of Binary Relations | type=Technical Report | date=Nov 2018 }} Lemma 44-46.</ref>

{{Short description|Type of binary relation}} {{stack|{{Binary relations}}}}

{{stack|{{Binary relations}}}} ...l=http://www.ling.ohio-state.edu/~pollard/680/chapters/relations.pdf|title=Relations and Functions|location=Ohio State University|accessdate=2018-05-28}} Page 7

{{short description|Binary relation that relates every element to itself}} ...e Oliveira, J. N., & Pereira Cunha Rodrigues, C. D. J. (2004). Transposing Relations: From Maybe Functions to Hash Tables. In Mathematics of Program Constructio

|[[Binary relation#Special types of binary relations|वाचिक-योग]]|| {{math|1='''I''' ≤ ''R''•''R''˘}} (''R'' ...uantifier nesting' on talk page. Moreover, the treatment of ternary, etc., relations should be made clear.|date=March 2019}} हैरानी की बात

...ष गुणन' कहा जाता है,<ref>Bjarni Jónssen (1984) "Maximal Algebras of Binary Relations", in ''Contributions to Group Theory'', K.I. Appel editor [[American Mathem

{{Short description|Matrix of binary truth values}} ...rving Copilowish]] (December 1948). "Matrix development of the calculus of relations", [[Journal of Symbolic Logic]] 13(4): 193–203 [https://www.jstor.org/sta

...505422 |page=46 |edition=1st |url=https://www.elsevier.com/books/theory-of-relations/fraisse/978-0-444-50542-2 |access-date=20 February 2019}}</ref>

...ातांक]] सम्मलित होते है।<ref>{{Cite web|last=Weisstein|first=Eric W.|title=Binary Operation|url=https://mathworld.wolfram.com/BinaryOperation.html|access-dat ...|last4=Seidel |first4=H. |date=Jan 1993 |title=Power algebras: clones and relations |url=https://wwwpub.zih.tu-dresden.de/~poesch-r/poePUBLICATIONSpdf/1993_Bru

{{Short description|Reversal of the order of elements of a binary relation}} ...nger Science & Business Media|isbn=978-3-7908-1365-4|pages=135–146|chapter=Relations Old and New|author=Joachim Lambek|author-link=Joachim Lambek}}</ref>

"Big-Oh for Recursive Functions: Recurrence Relations",

...author=Bjarni Jónsson | year=1984| contribution=Maximal Algebras of Binary Relations | url= | title=Contributions to Group Theory | editor1=Kenneth I. Appel | ...लिए मैपिंग शब्द का उपयोग करते हैं।<ref>G. Schmidt & T. Ströhlein (1993) ''Relations and Graphs'' Discrete Mathematics for Computer Scientists, page 54, EATCS M

{{Binary relations|expanded}} ...Authors who deal with binary relations only as a special case of ''n''-ary relations for arbitrary ''n'' usually write ''Rxy'' as a special case of ''Rx''<sub>1

{{stack|{{Binary relations}}}} ...e=2018-04-06}}, Lemma 1.1 (iv). Note that this source refers to asymmetric relations as "strictly antisymmetric".</ref> अतुलनीयता संबं

...the [[reflexive closure]] of the [[Direct product#Direct product of binary relations|direct product]] of two copies of <math>\Reals</math> with "<"). This is al

...न ए को तुल्यता संबंधों में। (यह है {{em|Fundamental Theorem of Equivalence Relations}}, उपर्युक्त);

...4.09.044 |title=Experimental study and thermodynamic calculations of phase relations in the Fe–C system at high pressure |journal=Earth and Planetary Science ...ddb.nims.go.jp/index_en.html Computational Phase Diagram Database (CPDDB), binary databases, free access with a registration ]