Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 adj. Not trivial; of some importance.
 adj. Mathematics Of, relating to, or being an expression in which at least one variable is not equal to zero.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Not trivial.
 adj. Having at least one nonzero variable.
 adj. Needing significant computing power to solve; intractable.
Etymologies
Examples

While it's what engineers call a nontrivial problem, making a car drive itself is ultimately just a matter of engineering, and will sooner or later become a reality.

Narayana Kocherlakota noted recently that the Fed would need to sell a "nontrivial" amount of its holdings, such as $15 billion to $25 billion a month, to return its balance sheet to precrisis levels.

"nontrivial" in the sense that it wasn't easy to accomplish.

That is surely a nontrivial gap, but it also means that three quarters of religious Americans approve of divorce in at least some circumstances.

You may question the assumption of randomness all you want, but the theory makes a nontrivial prediction that is born out experimentally, so the standard model of Brownian motion is generally accepted.

You may question the assumption of randomness all you want, but the theory makes a nontrivial prediction

Because the Z flag is the only flag that is a nontrivial function of X, there is a delay of 1 after the ALU output becomes valid in order that the Z flag is valid.
BabbageBoole Digital Arithmetical and Logical Mill: Part 2 « The HalfBaked Maker

There is thus an urgent need to find some nontrivial topics on which America and China can work together and so rediscover the winwin logic that prevailed during the Age of Optimism.

Matt seems to be just blowing off the nearterm risk of large bank failures in his commentary on these issues, but the risk of something like a doubledip recession makes the nearterm risk of large bank failures nontrivial.

As to the nontrivial difference between 3% and 2%, the fact that 2% both has been the historical rate on Tbonds for the last 75 years and is the rate currently projected by the market, and how ...
Actuarial Scoring Errors, Arnold Kling  EconLog  Library of Economics and Liberty
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