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connected

[kuh-nek-tid] /kəˈnɛk tɪd/
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
1705-1715
1705-15; connect + -ed2
Related forms
connectedly, adverb
connectedness, noun
subconnectedly, adverb
well-connected, adjective
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Examples from the web for connectedness
  • 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.
  • Primarily to rub virtual elbows with other writers and for a sense of connectedness.
  • The growing connectedness of billions of minds means that humanity is fast developing some sort of group intelligence.
  • Many jobs now demand constant connectedness, leaving little space for life outside of work.
  • And that was an overwhelming sense of oneness, of connectedness.
  • He wondered if simple connectedness might characterize three-dimensional spheres as well.
  • But in this era of constant connectedness, journeys to the depth of one's own mind can be equally illuminating.
British Dictionary definitions for connectedness

connected

/kəˈnɛktɪd/
adjective
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
Derived Forms
connectedly, adverb
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Encyclopedia Article for 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.

Learn more about connectedness with a free trial on Britannica.com
Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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