Converse relation
In mathematics, the inverse relation of a binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the inverse of the relation 'child of' is the relation 'parent of'. In formal terms, if X \text{ and } Y are sets and L \subseteq X \times Y is a relation from X to Y then L^{-1} is the relation defined so that y\,L^{-1}\,x if and only if x\,L\,y (Halmos 1975, p. 40). In another way, L^{-1} = \{(y, x) \in Y \times X \mid (x, y) \in L \}.
The notation comes by analogy with that for an inverse function. Though many functions do not have an inverse; every relation does.
The inverse relation is also called the converse relation or transpose relation (in view of its similarity with the transpose of a matrix: these are the most familiar examples of dagger categories), and may be written as LC, LT, L~ or \breve{L}.
Note that, despite the notation, the converse relation is not an inverse in the sense of composition of relations: L \circ L^{-1} \neq \mathrm{id} in general.

This is an excerpt from the article Converse relation from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
The article Converse relation at en.wikipedia.org was accessed 108 times in the last 30 days. (as of: 05/26/2014)
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Inverse relation - Wikipedia, the free encyclopedia
The inverse relation is also called the Converse relation or transpose relation (in view of its similarity with the transpose of a matrix: these are the most familiar ...
en.wikipedia.org/wiki/Inverse_relation
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Converse Relations - Jstor
a relation neither exists nor can be observed apart from its Converse relation; what is more, the concept of a relation and of its converse is one and the same ...
www.jstor.org/stable/2185430
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converse - definition of converse by the Free Online Dictionary ...
Adj. 1. converse - of words so related that one reverses the relation denoted by the other; "`parental' and `filial' are converse terms". antonymous - of words: ...
www.thefreedictionary.com/converse
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Converse relation - The Free Dictionary
For a relation R, the inverse relation R -1 is the relation such that the ordered pair (x, y) belongs to R -1 if and only if (y, x belongs to R. Want to thank TFD for its ...
encyclopedia2.thefreedictionary.com/Converse+relation
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Relations
But they are also unrelated: symmetry is a property of a single relation, while converse is an operator that takes a relation and produces another relation ( which ...
www.ics.uci.edu/~alspaugh/cls/shr/relation.html
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Relations
The converse (properly formulated) is also true: if R is a relation, then it is a relation from one set to another. In other words, we have the following theorem. ( t1).
people.umass.edu/gmhwww/595t/pdf/Set-Theory-Chap2.pdf
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Converse Relations, Vectors, and Three Theses from Armstrong (A ...
relation then the instantiation thesis for Converse relations is false for many kinds of ... The second thesis from Armstrong is that a relation and its converse are ...
www.unomaha.edu/philosophy/ConverseRelationsVectors3ThesesFromArmstrong.pdf
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Converse Of Relation » Academic Maths
DEFINITION1: Let X and Y be two sets. Any subset of the cartesian product X\ times{Y} is called a relation with domain X and codomain Y . While some sources  ...
www.academicmaths.com/tag/converse-of-relation
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Definition:Inverse Relation - ProofWiki
Sep 19, 2013 ... An inverse relation is also seen as Converse relation. Some sources use the notation $\mathcal R^\gets$ instead of $\mathcal R^{-1}$.
www.proofwiki.org/wiki/Definition:Inverse_Relation
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Difference Between Inverse & Converse | eHow
The key difference between the two types of relationships is in their capacity for logical derivation. Unlike a Converse relationship, you cannot derive the inverse ...
www.ehow.com/info_8181082_difference-between-inverse-converse.html
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Converse relation in science
Opposite (semantics) - Wikipedia, the free encyclopedia
It is referred to as a 'binary' relationship because there are two members in a set of opposites. .... Relational antonyms (Converses) are pairs in which one describes a relationship between two ... Cambridge: Cambridge University Press. Cruse ...
Communications | UCOP - University of California | Office of The ...
Phone: (510) 987-9200 (for media requests) Communications External Relations University of California Office of the President 1111 Franklin St., 12th Floor
Armstrong And The Problem Of Converse Relations - Springer
Mar 1, 2002 ... In A World of States of Affairs(Cambridge University Press, 1997) David ... for Armstrong's theory by raising TheProblem of Converse relations.
The Converse of a Stochastic Relation - Springer
We propose the construction of the converse of a stochastic relation. It is shown that two .... 5. Chair for Software Technology, University of Dortmund, Dortmund ...
[PDF]Converse Relations, Vectors, and Three Theses from Armstrong (A ...
relation then the instantiation thesis for Converse relations is false for many ... A World of States of Affairs (Cambridge: Cambridge University Press, 1997), p.
[PDF]Armstrong and the Problem of Converse Relations - Jstor
ARMSTRONG AND THE PROBLEM OF Converse relationS. ABSTRACT. In A World of States of Affairs (Cambridge University. Press, 1997) David.
Converse Accident - Philosophy Lander.edu - Lander University
The generalization in converse accident need not be causal, and the causal relation in false cause need not be general. E.g., "There's nothing you can't get used ...
Ally Converse | LinkedIn
Ally Converse's Summary. I am a recent graduate from Central Michigan University with a major in integrative public relations and a minor in leadership.
Jennifer Converse McDuffee | LinkedIn
View Jennifer Converse McDuffee's professional profile on LinkedIn. LinkedIn is the ... Graduate Assistant. University of Colorado Athletic Media Relations.
BVU Leadership | Buena Vista University
A graduate of South Dakota State University, Converse earned his Master of ... for the operation of the university's development and alumni relations programs.
Books on the term Converse relation
Aristotelian Logic
Aristotelian Logic
William T. Parry, Edward A. Hacker, 1991
The field of a relation R is the class of all objects that have the relation R to something or to which something has the relation R. Thus the field of the relation father-of consists of whatever is or has a father. 17B Converse relation AND ...
How to Talk to Anyone: 92 Little Tricks for Big Success in Relationships
How to Talk to Anyone: 92 Little Tricks for Big Success in Relationships
Leil Lowndes, 2003
Leil Lowndes' How to Talk to Anyone offers 101 time-tested hints, tips, and techniques for confidently communicating with others. A bestselling author and renowned communications consultant, Lowndes focuses on ice-breaking skills and communication techniques that are proven successful when making a positive first impression, establishing insta...
Handbook of Spatial Logics
Handbook of Spatial Logics
Marco Aiello, Ian Pratt-Hartmann, J. F. A. K. van Benthem, 2007
This can be easily seen when considering the “behind” relation of Fig. 4.15. The actual converse of “x behind y” is a subset of “y is behind or in front of x” which cannot be expressed within the Interval Algebra. If using “y is behind or in front of x” ...
Working: People Talk About What They Do All Day and How They Feel About What They Do
Working: People Talk About What They Do All Day and How They Feel About What They Do
Studs Terkel, 1997
A deep penetration of American thought and feeling . . . A celebration of individuals . . . A masterpiece. -- Los Angeles TimesAn enormous amount of exciting material. . . . An incredible abundance of marvelous beings. . . . A very special electricity and emotional power. -- The New York Times Book ReviewAn impressive achievement . . . A very valua...
Cognitive and Linguistic Aspects of Geographic Space: New ...
Cognitive and Linguistic Aspects of Geographic Space: New ...
2013
of the corresponding instance relation is known. The converse of a class relation bases on the converse of the applied instance relation. If an abstract class relation is left-total/left-definite the Converse relation is right-total/right-definite, and vice ...
Promoting Polyarchy: Globalization, US Intervention, and Hegemony (Cambridge Studies in International Relations...
Promoting Polyarchy: Globalization, US Intervention, and Hegemony (Cambridge Studies in International Relations...
William I. Robinson, 1996
Promoting Polyarchy is an exciting, detailed and controversial work on the apparent change in US foreign policy from supporting dictatorships to promoting "democratic" regimes. William I. Robinson argues that behind this facade, US policy upholds the undemocratic status quo of Third World countries. He addresses the theoretical and histor...
The Pursuit of Philosophy: Some Cambridge Perspectives
The Pursuit of Philosophy: Some Cambridge Perspectives
Alexis Papazoglou, 2012
Russell took it to be a consequence of this explanation of how relations relate that “every relation has a converse, i.e. that, ... Russell's examples of pairs of Converse relations with opposite senses: greater and less, before and after, implying ...
The Trivium: The Liberal Arts of Logic, Grammar, and Rhetoric
The Trivium: The Liberal Arts of Logic, Grammar, and Rhetoric
Sister Miriam Joseph, 2002
Who sets language policy today? Who made whom the grammar doctor? Lacking the equivalent of l'Académie française, we English speakers must find our own way looking for guidance or vindication in source after source. McGuffey's Readers introduced nineteenth-century students to "correct" English. Strunk and White's Elements o...
Theoretical Aspects of Passivization in the Framework of ...
Theoretical Aspects of Passivization in the Framework of ...
Jean-Pierre Desclés, Zlatka Guentcheva-Desclés, Sebastian Shaumyan, 1985
Jean-Pierre Desclés, Zlatka Guentcheva-Desclés, Sebastian Shaumyan. Combinatory logic (Curry, Feys, 1958) uses the conversion combinator  not to derive a complex relation (the Converse relation) from a more simple relation (the basic ...
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Blog posts on the term
Converse relation
magnetic core propeller generator: Quarks..
QUARKS (See Diagrams G). .
magneticcorepropellergenerator.blogspot.com/2013/11/quarks.html
Fail To Remember World Wide Web 2.4, Let Us Converse In Relation To Built-in Pro - Blog - TiaQEFB - My Space - Powered by UCenter Home
space.thoenradio.com/space.php?uid=40452&do=blog&id=61190
Basic logic — relationships between statements — converses and contrapositives | Gowers's Weblog
Converses. What is the relationship between the following two statements? 1. If $latex n$ is 1 or a prime number, then $latex (n-1)!+1$ is divisible by $latex n$. 2. If $latex (n-1)!+1$ is divisible by $latex n,$ then $latex n$ is 1 or a prime number. At first sight, this doesn't look a very difficult…
gowers.wordpress.com/2011/10/05/basic-logic-relationships-between-statements-converses-and-contrapositives/
Irish Left Review | Greek Crisis Event: Will it Bring Barbarism or Socialism?
www.irishleftreview.org/2013/11/11/greek-crisis-event-bring-barbarism-socialism/
Aristotle and the Category of Relation or Relationship | The One and the Many: Devoted to the Universal and the Particulars
In chapter seven of Aristotle's Categories, Aristotle defined the category of relation.[1] Aristotle said, "Those things are called relative, which, being either said to be of something else or related to something else, are explained by reference to that other thing . . ."[2] In this section, Aristotle showed that there are two major factors…
universalparticulars.wordpress.com/2008/02/26/aristotle-and-the-categories-of-relation/
apartness relation in nLab
ncatlab.org/nlab/show/apartness+relation
Cooking area Remodeling Converse All Star For your Tenants | Brain Shelter
In relation to Converse All Star cooking area remodeling, we generally associate kitchen area remodeling with homeowners. This is because as a house owner, you have got the right to decide whether or not or not you need your kitchen area to become remodeled.
www.brainshelter.com/cooking-area-remodeling-converse-all-star-for-your-tenants/
Obsessing Over Titles and ‘The Gray Area’ — Titles In Relationships | Hearts Converse
heartsconverse.com/2012/04/03/titles-in-relationships/
Why I Can’t Have An Open Relationship | Thought Catalog
A college education teaches you many things, but the most important morsel of wisdom it imparts on you is the ability to think critically. We all ask questions through the course of our meager existence.
thoughtcatalog.com/dave-schilling/2012/04/why-i-cant-have-an-open-relationship/
irreflexive relation in nLab
ncatlab.org/nlab/show/irreflexive+relation
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