connected

[kuh-nek-tid]
adjective
1.
united, joined, or linked.
2.
having a connection.
3.
joined together in sequence; linked coherently: connected ideas.
4.
related by family ties.
5.
having social or professional relationships, especially with influential or powerful persons.
6.
Mathematics. pertaining to a set for which no cover exists, consisting of two open sets whose intersections with the given set are disjoint and nonempty.

Origin:
1705–15; connect + -ed2

connectedly, adverb
connectedness, noun
subconnectedly, adverb
well-connected, adjective
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
connected (kəˈnɛktɪd)
 
adj
1.  joined or linked together
2.  (of speech) coherent and intelligible
3.  logic, maths (of a relation) such that either it or its converse holds between any two members of its domain
 
con'nectedly
 
adv

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Etymonline
Word Origin & History

connect
1670s, from L. connectere (see connection). Earlier was connex (1540s), from Fr. connexer, from L. *connexare, freq. of conectere (pp. stem connex-). A similar change took place in Fr., where connexer was superseded by connecter. Meaning "to establish a relationship"
(with) is from 1881. Slang meaning "get in touch with" is attested by 1926, from telephone connections. Meaning "awaken meaningful emotions, establish rapport" is from 1942. Of a hit or blow, "to reach the target," from c.1920. Related: Connecting (1680s); connectedness (1690s).
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

connect con·nect (kə-někt')
v. con·nect·ed, con·nect·ing, con·nect·s

  1. To join or fasten together.

  2. To become joined or united.


con·nec'tor n.
The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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Encyclopedia Britannica
Encyclopedia

connectedness

in mathematics, fundamental topological property of sets that corresponds with the usual intuitive idea of having no breaks. It is of fundamental importance because it is one of the few properties of geometric figures that remains unchanged after a homeomorphism-that is, a transformation in which the figure is deformed without tearing or folding. A point is called a limit point of a set in the Euclidean plane if there is no minimum distance from that point to members of the set; for example, the set of all numbers less than 1 has 1 as a limit point. A set is not connected if it can be divided into two parts such that a point of one part is never a limit point of the other part. The set is connected if it cannot be so divided. For example, if a point is removed from an arc, any remaining points on either side of the break will not be limit points of the other side, so the resulting set is disconnected. If a single point is removed from a simple closed curve such as a circle or polygon, on the other hand, it remains connected; if any two points are removed, it becomes disconnected. A figure-eight curve does not have this property because one point can be removed from each loop and the figure will remain connected. Whether or not a set remains connected after some of its points are removed is one of the principal ways of classifying figures in topology.

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Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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Example sentences
There was a great sense of political connectedness between different groups.
He sees the forest in its particulars and its connectedness.
Its growth has come from customizing its services to the needs of a community
  that craves a sense of connectedness.
First off, the author is not dismissing the fact that the connectedness of the
  world is playing a factor here.
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