
adj.
- Not trivial; of some importance.
- Mathematics. Of, relating to, or being an expression in which at least one variable is not equal to zero.
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American Heritage Dictionary:
non·triv·i·al |

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TechEncyclopedia:
nontrivial |
Not lightweight. Nontrivial is a favorite word among programmers and computer people for describing any task that is not quick and easy to accomplish. It may mean "extremely" difficult and time consuming. Therefore, since many programmers are unbridled optimists, take the word seriously!
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The Jargon File's Guide to Hacker Slang:
nontrivial |
Requiring real thought or significant computing power. Often used as an understated way of saying that a problem is quite difficult or impractical, or even entirely unsolvable (“Proving P=NP is nontrivial”). The preferred emphatic form is decidedly nontrivial. See trivial, uninteresting, interesting.
Wikipedia on Answers.com:
Nontrivial |
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It has been suggested that this article or section be merged into Triviality (mathematics). (Discuss) Proposed since December 2011. |
Nontrivial is the opposite of trivial. In contexts where trivial has a formal meaning, nontrivial is its antonym.
It is a term common among communities of engineers and mathematicians, to indicate a statement or theorem that is not obvious or easy to prove.
. It is obvious that the dependence
is true if Y is a subset of X, so this type of dependence is called "trivial". All other dependences, which are less obvious, are called "nontrivial".* If system of equations has non trivial solutions means it also has non zero solutions. ∑(j=1 to n)a[ij] x[]] = 0 for 1≤i≤m always has a non trivial solution if m<n.
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