not continuous; broken; interrupted; intermittent: a discontinuous chain of mountains; a discontinuous argument.
Mathematics. (of a function at a point) not continuous at the point.

1660–70; < Medieval Latin discontinuus. See dis-1, continuous

discontinuously, adverb
discontinuousness, noun
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World English Dictionary
discontinuous (ˌdɪskənˈtɪnjʊəs)
1.  characterized by interruptions or breaks; intermittent
2.  maths Compare continuous (of a function or curve) changing suddenly in value for one or more values of the variable or at one or more points

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American Heritage
Science Dictionary
discontinuous   (dĭs'kən-tĭn'y-əs)  Pronunciation Key 
Mathematics Relating to a function that contains one or more points where the function is either discontinuous or undefined.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
My point is that the informal aspects of education are continuous with the
  formal and not discontinuous.
History is traced not in straight lines but in jagged and discontinuous strokes.
They have created a discontinuous change with a potential to impact the lives
  of millions.
At the subatomic scale, where the universe is jumpy and discontinuous,
  physicists don't know how gravity behaves.
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