the act or circumstance of proving or being proved conclusively, as by reasoning or a show of evidence: a belief incapable of demonstration.
something serving as proof or supporting evidence: They sent a check as a demonstration of their concern.
a description or explanation, as of a process, illustrated by examples, specimens, or the like: a demonstration of methods of refining ore.
the act of exhibiting the operation or use of a device, machine, process, product, or the like, as to a prospective buyer.
an exhibition, as of feeling; display; manifestation: His demonstration of affection was embarrassing.
a public exhibition of the attitude of a group of persons toward a controversial issue, or other matter, made by picketing, parading, etc.
a show of military force or of offensive operations made to deceive an enemy.
Mathematics. a logical presentation of the way in which given assumptions imply a certain result; proof.

1325–75; Middle English demonstracioun < Latin dēmonstrātiōn- (stem of dēmonstrātiō, equivalent to dēmonstrāt(us) (see demonstrate) + -iōn- -ion

demonstrational, adjective
demonstrationist, noun
counterdemonstration, noun
predemonstration, noun
redemonstration, noun
subdemonstration, noun
superdemonstration, noun
undemonstrational, adjective Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
demonstration (ˌdɛmənˈstreɪʃən)
1.  the act of demonstrating
2.  proof or evidence leading to proof
3.  an explanation, display, illustration, or experiment showing how something works
4.  a manifestation of grievances, support, or protest by public rallies, parades, etc
5.  a manifestation of emotion
6.  a show of military force or preparedness
7.  maths a logical presentation of the assumptions and equations used in solving a problem or proving a theorem

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

late 14c., from L. demonstrationem, from demonstrare, from de- "entirely" + monstrare "to point out, show," from monstrum "divine omen, wonder." Meaning "public show of feeling," usually with a mass meeting and a procession, is from 1839.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Hill had promised a public demonstration of his works and process, but he kept
  pushing the date back.
It turned out it belonged to a local tour operator, who used the fossil as a
  demonstration piece.
First demonstration of localized ripples of matter.
The nonviolent demonstration was the first sustained sit-in, and soon after
  others sprung up across the south.
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