Explore Nontrivial through 10+ example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Nontrivial in a sentence
Nontrivial meaning
- Not trivial.
- Not obvious or easy to prove; not self-evident.
Using Nontrivial
- The main meaning on this page is: Not trivial. | Not obvious or easy to prove; not self-evident. | Not trivial.
- In the example corpus, nontrivial often appears in combinations such as: is nontrivial, nontrivial ways, no nontrivial.
Context around Nontrivial
- Average sentence length in these examples: 21.7 words
- Position in the sentence: 0 start, 6 middle, 14 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Nontrivial
- In this selection, "nontrivial" usually appears near the end of the sentence. The average example has 21.7 words, and this corpus slice is mostly made up of statements.
- Around the word, certain, highly, earliest, ways, amount and bugs stand out and add context to how "nontrivial" is used.
- Recognizable usage signals include intricate and nontrivial ways and a certain nontrivial property. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "nontrivial" sits close to words such as abbeys, abdur and absconded, which helps place it inside the broader word index.
Example types with nontrivial
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
If the determinant is zero, then the nullspace is nontrivial. (10 words)
That could take a nontrivial amount of the transportation costs offline. (11 words)
If U is nonprincipal, then the extension thereby obtained is nontrivial. (11 words)
The developer beta is particularly noteworthy because a number of nontrivial bugs have persisted throughout the iOS and iPadOS 13 beta cycle, some of which may well ship with the final OS release next month. (35 words)
An analogue of Rice's theorem for recursive sets One can regard Rice's theorem as asserting the impossibility of effectively deciding for any recursively enumerable set whether it has a certain nontrivial property. (34 words)
In particular, because the prime numbers are the numbers with no nontrivial divisors, a cyclic group is simple if and only if its order (the number of its elements) is prime. (31 words)
Example sentences (20)
That could take a nontrivial amount of the transportation costs offline.
The developer beta is particularly noteworthy because a number of nontrivial bugs have persisted throughout the iOS and iPadOS 13 beta cycle, some of which may well ship with the final OS release next month.
Additive groups of rings The additive group of a ring is an abelian group, but not all abelian groups are additive groups of rings (with nontrivial multiplication).
Although these theories appeared, at first, to be very different, work by several physicists showed that the theories were related in intricate and nontrivial ways.
An analogue of Rice's theorem for recursive sets One can regard Rice's theorem as asserting the impossibility of effectively deciding for any recursively enumerable set whether it has a certain nontrivial property.
A zero divisor that is nonzero is called a nonzero zero divisor or a nontrivial zero divisor.
Blue arrows indicate T-duality main One notable fact about string theory is that the different versions of the theory all turn out to be related in highly nontrivial ways.
For legislators and committees responsible for financial reform related to derivatives in the United States and elsewhere, distinguishing between hedging and speculative derivatives activities has been a nontrivial challenge.
History An example of change ringing (with six bells), one of the earliest nontrivial results in Graph Theory.
However, as physicists began to examine string theory more closely, they realized that these theories are related in intricate and nontrivial ways.
If a correlation φ is not a polarity then φ 2 is a nontrivial collineation.
If :: :are solvable then the following equation has a nontrivial solution in integers: :: Example.
If the determinant is zero, then the nullspace is nontrivial.
If U is nonprincipal, then the extension thereby obtained is nontrivial.
In general, the term duality refers to a situation where two seemingly different physical systems turn out to be equivalent in a nontrivial way.
In more complex expressions, the operators still precede their operands, but the operands may themselves be nontrivial expressions including operators of their own.
In particular, because the prime numbers are the numbers with no nontrivial divisors, a cyclic group is simple if and only if its order (the number of its elements) is prime.
Inspection of Maxwell's equations without sources (charges or currents) results in nontrivial solutions of changing electric and magnetic fields.
In the cases of the rational numbers (Q) and the real numbers (R) there are no nontrivial field automorphisms.
It is possible to effectively decide whether a given natural number is prime by testing every possible nontrivial factor.
Common combinations with nontrivial
These word pairs occur most frequently in English texts:
- is nontrivial 5×
- nontrivial ways 3×
- no nontrivial 3×
- any nontrivial 3×
- and nontrivial 2×
- in nontrivial 2×
- nontrivial field 2×