Examples of nontrivial

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The main criteria is that we do not allow eq to make any nontrivial distinctions involving higher-order objects.
This result is nontrivial since the class of meta-deterministic languages contains inherently ambiguous languages.
This is a nontrivial task even for a simple document with several sentences.
The number of nontrivial errors determined the intelligibility score.
Errors were also categorized as trivial or nontrivial.
Chaotic itinerancy, in any case, is a very nontrivial concept.
In this paper we establish nontrivial lower and upper estimates of the value of the control ratio for which the phase transition occurs.
Can one give a nontrivial bound from below for (n)?
This exponent is only nontrivial for d = 2, 3, and that is why we restrict to those values.
The extension entails a number of nontrivial considerations.
Many popular objections to dependent types stand just as well as objections to any complex type system with nontrivial interaction between levels.
That is, an equivalent utility value can be obtained by a nontrivial credit contract offering greater surplus to the principal.
Therefore, we have to find a nontrivial solution.
It is a nontrivial process of bringing a theoretical structure into resonance with some phenomena that is "implicitly" in its domain.
In conjunction, these properties of social-psychological research have impeded the development of theories with explanatory power and the ability to generate novel and nontrivial hypotheses.
In contrast to previous theoretical work, our model economy includes a nontrivial role for external finance in the financial development process.
We show how significant the nontrivial interactions between cyclical variations and seasonal ones were in the 16th- and 17th-century economies.
We believe we have shown that the problem of extracting a homomorphism is nontrivial.
Interestingly, this simple analysis allowed us to make some rather nontrivial conclusions about the possible shapes of slow shocks.
Often, a pass performs nontrivial transformation for just a few forms of the input language.

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