Nontrivial

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• It is a term common among communities of engineers and mathematicians, to indicate a statement or theorem that is not obvious or easy to solve.
• The term has formal meaning in certain contexts. In mathematics:
• A functional dependency
  Functional dependency
  
  A functional dependency theory is a constraint between two sets of attributes in a relational model from a database.Given a relation R, a set of attributes X in R is said to functionally determine another attribute Y, also in R, if and only if each X value is associated with precisely one Y value....
    is called nontrivial if Y is not a subset
  Subset
  
  In mathematics, especially in set theory, a Set A is a subset of a set B if A is "contained" inside B. Notice that A and B may coincide....
   of X.
• A nontrivial factor of a number N is any factor besides 1 and N.
• In general, nontrivial is used formally as an antonym for trivial, in contexts where that word has a formal meaning. See Trivial (mathematics)
  Trivial (mathematics)
  
  In mathematics, the term trivial is frequently used for Category theory that have a very simple structure. For non-mathematicians, they are sometimes more difficult to visualize or understand than other, more complicated objects....
  .

See also

• Trivia
  Trivia
  
  Trivia are unimportant items, especially of information. In the late 19th century the expression came to apply more to information of the kind useful almost exclusively for answering quiz questions: a perfect "trivia question" is one that initially stumps the listener, but the answer subsequently sounds familiar once revealed ....
  
• Trivia (disambiguation)
  Trivia (disambiguation)
  
  :For the Wikipedia guideline on trivia, see:...
  
• Trivial (mathematics)
  Trivial (mathematics)
  
  In mathematics, the term trivial is frequently used for Category theory that have a very simple structure. For non-mathematicians, they are sometimes more difficult to visualize or understand than other, more complicated objects....