nontrivial - meaning and definition. What is nontrivial
Diclib.com
ChatGPT AI Dictionary
Enter a word or phrase in any language 👆
Language:

Translation and analysis of words by ChatGPT artificial intelligence

On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:

  • how the word is used
  • frequency of use
  • it is used more often in oral or written speech
  • word translation options
  • usage examples (several phrases with translation)
  • etymology

What (who) is nontrivial - definition

DESCRIPTION TO WHAT EXTENT A MATHEMATICAL STATEMENT OR COMPLICATION CAN BE DISREGARDED DUE TO SIMPLICITY
Nontrivial; Non trivial; Non-trivial; Trivial solution; Trivial (mathematics); Trivial case

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 uninteresting, interesting. [Jargon File] (1995-02-21)
Triviality (mathematics)         
In mathematics, the adjective trivial is often used to refer to a claim or a case which can be readily obtained from context, or an object which possesses a simple structure (e.g.
non-trivial         
¦ adjective
1. not trivial; significant.
2. Mathematics having some terms not equal to zero.

Wikipedia

Triviality (mathematics)

In mathematics, the adjective trivial is often used to refer to a claim or a case which can be readily obtained from context, or an object which possesses a simple structure (e.g., groups, topological spaces). The noun triviality usually refers to a simple technical aspect of some proof or definition. The origin of the term in mathematical language comes from the medieval trivium curriculum, which distinguishes from the more difficult quadrivium curriculum. The opposite of trivial is nontrivial, which is commonly used to indicate that an example or a solution is not simple, or that a statement or a theorem is not easy to prove.

The judgement of whether a situation under consideration is trivial or not depends on who considers it since the situation is obviously true for someone who has sufficient knowledge or experience of it while to someone who has never seen this, it may be even hard to be understood so not trivial at all. And there can be an argument about how quickly and easily a problem should be recognized for the problem to be treated as trivial. So, triviality is not a universally agreed property in mathematics and logic.

Examples of use of nontrivial
1. But it does indicate that the suspicions are nontrivial.
2. It was "bare–bones," but it would lead to Katsav‘s immediate conviction on nontrivial charges.
3. According to the attorney general, the advantages of this deal were the president‘s confession to "nontrivial sexual offenses" and his immediate and certain conviction of these crimes.
4. Government companies account for a nontrivial proportion of Israel‘s economic activity, with a combined annual turnover of some NIS 20 billion.
5. "What we‘ve done is show that you can take nontrivial problems, very large problems, and you can do the same kind of reasoning with perfection.