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Topic: Relation

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  Relation (mathematics) - Wikipedia, the free encyclopedia
Relations that involve two 'places' or 'roles' are called binary relations by some and dyadic relations by others, the latter being historically prior but also useful when necessary to avoid confusion with binary (base 2) numerals.
From the more abstract viewpoints of formal logic and model theory, the relation L is seen as constituting a logical model or a relational structure that serves as one of many possible interpretations of a corresponding k-place predicate symbol, as that term is used in predicate calculus.
Another variation reserves the term 'relation' to the corresponding logical entity, either the logical comprehension, which is the totality of intensions or abstract properties that all of the elements of the relation in extension have in common, or else the symbols that are taken to denote these elements and intensions.
en.wikipedia.org /wiki/Relation_(mathematics)   (1777 words)

 Relation - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-11-02)
In mathematics, a relation is a generalization of arithmetic relations, such as "=" and "<", which occur in statements, such as "5 < 6" or "2 + 2 = 4".
In relational modeling, a relation is a set of tuples, otherwise known as a table.
In logic and philosophy, a relation is a two-argument property or predicate.
en.wikipedia.org /wiki/Relation   (151 words)

 Legal Definition of Relation
These relations took place when the judge had no law to direct him, or when the laws were susceptible of difficulties; it was then referred to the prince, who was the author of the law, to give the interpretation.
A legacy to "relations" generally, or to "relations by blood or marriage," without enumerating any of them, will, therefore, entitle to a share, such of the testator's relatives as would be entitled under the statute of distribution's in the event of intestacy.
Relations to either of the parties, even beyond the ninth degree, have been holden incapable to serve on juries.
www.lectlaw.com /def2/q129.htm   (280 words)

 Transitive Relation Encyclopedia Article, Information, History and Biography @ Encyclopedia.LocalColorArt.com   (Site not responding. Last check: 2007-11-02)
In mathematics, a binary relation R over a set X is transitive if it holds for all a, b, and c in X, that if a is related to b and b is related to c, then a is related to c.
Unlike other relation properties, it is not possible to find a general formula that counts the number of transitive relations on a finite set.
equivalence relation - a relation that is a preorder and symmetric.
encyclopedia.localcolorart.com /encyclopedia/Transitive_relation   (357 words)

S. For example PP, where P is the parent-child relation given above, is the composition of P with itself and it is a relation which we know as grandparent-grandchild relation.
The relations < and > are neither reflexive nor symmetric.
The relation NOT EQUAL TO is neither reflexive nor transtive.
www.cs.odu.edu /~toida/nerzic/390teched/math/relation.html   (560 words)

 Relative Identity
For example, the relation x and y are the same size is an equivalence relation that does not satisfy LL (with respect to a rich language such as English).
The indiscernibility relation defined by the identity symbol in M may differ from the one it defines in M′; and in particular, the latter may be more "fine-grained" than the former.
The noun ‘passenger’ is derived from the corresponding relational expression ‘passenger in (on) …’.
plato.stanford.edu /entries/identity-relative   (15395 words)

 The Epistemic Basing Relation
The basing relation is what distinguishes good reasons which a person possesses that contribute to the personal justification of a given belief from good reasons which the person possesses but that do not contribute to the personal justification of the belief.
Doxastic theories of the basing relation hold that having an appropriate meta-belief to the effect that a reason is a good reason to hold a belief is sufficient for the belief's being based on the reason.
The basing relation is presumably a unified epistemic concept calling for a unified analysis, not a haphazard conglomeration of different conditions, as a disjunctive analysis of the basing relation as either causes or meta-beliefs would suggest.
plato.stanford.edu /entries/basing-epistemic   (6217 words)

 [No title]
Consequently the relation from the theoretical point of view is here merely ideal; that is, it is a relation to an object of thought which we form for ourselves.
Now, the subjective nature of our representations might be of such a kind that they could be related to objects so as to furnish knowledge of them, either in regard to their form or matter- in the former relation by pure perception, in the latter by sensation proper.
In relation to us as human beings, with an activity of will modified by sensible influences so as not to be conformable to the pure will, but as often contrary to it, these laws appear as imperatives commanding or prohibiting certain actions; and as such they are categorical or unconditional imperatives.
philosophy.eserver.org /kant/intro-to-metaphys-of-morals.txt   (6667 words)

[Verbs] be related; have a relation; relate to, refer to; bear upon, regard, concern, touch, affect, have to do with; pertain to, belong to, appertain to; answer to; interest.
[more]; cognate; relating to; relative to, in relation with, referable or referrible to; belonging to; appurtenant to, in common with.
related, connected; implicated, associated, affiliated, allied to; en rapport, in touch with.
thesaurus.reference.com /roget/I/9.html   (132 words)

 Relation   (Site not responding. Last check: 2007-11-02)
Let R be the relation " is located in"  from the set X of cities to the set Y of countries.
The set of all first components of the ordered pairs of relation is called the DOMAIN of the relation.
The set of all second components of the ordered pairs of the relation is called the RANGE of the relation.
www.ctp.bilkent.edu.tr /~yavuz/Relation.htm   (440 words)

 CATHOLIC ENCYCLOPEDIA: Relation of God to the Universe
And the relation of Creator to created remains the same even though the possibility of eternal creation be admitted; the Infinite must be the producer of the finite even though it be impossible to fix a time at which production may not already have taken place.
God is immanent, or intimately present, in the universe because His power is required at every moment to sustain creatures in being and to concur with them in their activities.
Conservation and concursus are so to speak, continuations of creative activity, and imply an equally intimate relation of God towards creatures, or rather an equally intimate and unceasing dependence of creatures on God.
www.newadvent.org /cathen/06614a.htm   (481 words)

 Dictionary Information: Definition Relation - Description Meaning Thesaurus
The act of relating or telling; also, that which is related; recital; account; narration; narrative; as, the relation of historical events.
Connection by consanguinity or affinity; kinship; relationship; as, the relation of parents and children.
"Relations dear, and all the charities Of father, son, and brother, first were known." Milton.
www.selfknowledge.com /80392.htm   (242 words)

 PlanetMath: relation
An example of a binary relation is the less-than relation on the integers, i.e.,
This is version 6 of relation, born on 2001-10-06, modified 2005-11-27.
Object id is 122, canonical name is Relation.
planetmath.org /encyclopedia/Relation.html   (119 words)

Because the detector could move at any relative velocity (within determined borders) in relation to the source there follows that there is always certain light that in relation to the detector’s inertial system has the speed c with which the detector interacts.
Relative velocity of the light spectrum in its relation to the observer is equal to the vector related difference of the velocities of both, light spectrum and the observer in their relation to the referential system.*
The observer could be moving with any speed (from the interval (1)) in the relation to the source, but every time in relation to him there will exist some light that has the speed c.
www.beotel.yu /~svetlost   (2505 words)

 relation - Wiktionary
The relation between diet and health is complex.
Equality is a symmetric relation, while divisibility is not.
Your relation of the events is different from mine.
en.wiktionary.org /wiki/relation   (168 words)

 Defining N-ary Relations on the Semantic Web: Use With Individuals
A common solution to representing n-ary relations such as these is to create an individual which stands for an instance of the relation and relates the things that are involved in that instance of the relation.
In the second case (pattern 2), the n-ary relation represents a network of participants that all play different roles in the relation, but two or more of the participants have equal "importance" in the relation.
In most intended interpretations, this relation cannot be viewed as a binary relation with additional attributes attached to it.
www.w3.org /TR/2004/WD-swbp-n-aryRelations-20040721   (1517 words)

 mourt.html   (Site not responding. Last check: 2007-11-02)
Mourt's Relation was written primarily by Edward Winslow, although William Bradford appears to have written most of the first section.
This version of Mourt's Relation is based on a University Microfilm (Ann Arbor, Michigan) facimilie edition of the original 1622 edition, to which I have updated the spelling to modern American-English standards.
Section 1: A Relation or Journal of the Proceedings of the Plantation settled at Plymouth in New England.
members.aol.com /calebj/mourt.html   (585 words)

 Tully-Fisher Relation   (Site not responding. Last check: 2007-11-02)
The method relies on the fact that there is a relationship between the rate at which a spiral galaxy spins and its intrinsic luminosity.
The sense of the relation is that the faster a galaxy spins, the more luminous is the galaxy.
This is borne out by the Tully-Fisher relation, the empirically deduced relation between spin-rate and luminosity.
zebu.uoregon.edu /~imamura/209/apr7/TF.html   (294 words)

 RELATION   (Site not responding. Last check: 2007-11-02)
When that subset contains observed or permissible cooccurrences, its complement in the same product set is called a constraint and contains conceivable cooccurrances that did not occur or are excluded.
binary relations are of order two, etc. Relations may be combined to form new relations, e.g., the simple ternary relation of "off-spring" which relates a father, a mother and a child can be used recursively (see recursion) to generate a whole family tree.
More than one relation may be defined in the same Cartesian product set as the relations "talked to", "is married to", "exchanged goods with" all of which are subsets of the product of two sets of people.
pespmc1.vub.ac.be /ASC/RELATION.html   (177 words)

 Functions Lesson - I
In relations and functions, the pairs of names and heights are "ordered", which means one comes first and the other comes second.
Functions are a sub-classification of relations.) When we say that a function is "a well-behaved relation", we mean that, given a starting point, we know exactly where to go.
Let's return to our relation of your classmates and their heights, and let's suppose that the domain is the set of everybody's heights.
www.purplemath.com /modules/fcns.htm   (713 words)

The standard definition of inbreeding is that it is any scheme which results in the sire and the dam having common ancestors.
Many breeders use the term "inbreeding" for close relatives and "linebreeding" for more distantly related individuals, but there is no fundamental difference.
You are, therefore, bound to find some common ancestors if you go back far enough.) Conversely, it is possible to mate two closely related dogs, both of which have low ICs, and boost the IC substantially.
www.canine-genetics.com /relation.htm   (1961 words)

 relation. The American Heritage® Dictionary of the English Language: Fourth Edition. 2000.
A logical or natural association between two or more things; relevance of one to another; connection: the relation between smoking and heart disease.
The way in which one person or thing is connected with another: the relation of parent to child.
Law The principle whereby an act done at a later date is considered to have been done on a prior date.
www.bartleby.com /61/60/R0136000.html   (164 words)

 Attribute-Relation File Format (ARFF)
The relation name is defined as the first line in the ARFF file.
Dates must be specified in the data section using the string representation specified in the attribute declaration.
Sparse ARFF files have the same header (i.e @relation and @attribute tags) but the data section is different.
www.cs.waikato.ac.nz /~ml/weka/arff.html   (1057 words)

 [No title]
Here we are going to formally define general n-ary relation using the concept of
A unary relation represents a property/characteristic, such as tall, rich etc., shared by the members of A
, is also a relation, and it is called the
www.cs.odu.edu /~toida/nerzic/content/relation/definition/cp_gen   (203 words)

 VRA Core version 3   (Site not responding. Last check: 2007-11-02)
An informative relationship between two works exists when the described and referenced works could stand independently and the relationship is informative but not essential either physically or logically in identifying either of the works.
The link between the works should be reciprocal and the data values should include the identity of the related work and a description of the type of relationship.
Core 3 Relationship types are consistent with the for the DC Relation element..
www.vraweb.org /vracore3.htm   (2974 words)

 Public Relation News
Public Relation news continually updated from thousands of sources around the net.
When Sean Penn, an Academy Award-winning actor turned director, stopped by Carthage to scout it for the set of a movie adaptation of Jon Krakauer's nonfiction book ''Into the Wild,'' it caused quite a stir in...
City Councilwoman and Mayor Pro Tem Carol Alvarado has hired attorney Rusty Hardin and a public relations firm to help with her office's payroll scandal.
www.topix.net /business/public-relations   (680 words)

 MSB Software Engineering - Content - Relation V1.3
"Relation Diagramer the fastest and cheapest way to create 'Entity Relationship Diagrams'.".
Relation helps you to document your Microsoft Access databases by creating 'Entity Relationship Diagrams'.
Just open an MDB-File, choose some, or all tables and when they are popped onto the screen move the lines and tables around to make it look nice.
www.msbsoftware.ch /relation.html   (207 words)

 Christian Singles Dating Service - Where Single Christians Date
Christian Relation is the Christian dating service where single Christians find true Christians for dates, friendship, love and meaningful relationships.
Christian Relation is designed by Christians for Christians and is based upon the scripture, "Therefore shall a man leave his father and his mother, and shall cleave unto his wife: and they shall be one flesh." Genesis 2:24
Christian Relation is for men and women who are looking for a free Christian dating website for great dating, online dating, blind date, singles dating, american singles in a Christian family we call Christian Relation.
www.christianrelation.com   (1212 words)

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