Serious, nontrivial questions, on which a man might spend a lifetime.

It had to be nontrivial for this sort of handling.

"It's about asking people to pay a nontrivial amount of money to serve in the government."

In fact, the free product of any two nontrivial groups is infinite.

In general, many or all members of can be nontrivial modules.

The calculation is nontrivial and requires a number of steps.

So if they take some nontrivial therapy it can't make mortality better.

If it has other solutions X 0, they would be called "nontrivial"

However, if there is an energy difference between the two states, then nontrivial dynamics can occur.

Despite the simplicity of the model, rigorous analysis is very nontrivial.

A nontrivial property is one shared by some but not all operations making up a basis.

This may also be referred to as nontrivial work on the part of the user.

The desire to make new nontrivial predictions, for example, to provide possible cold dark matter candidates.

The table below shows all possible nontrivial linear spaces of five points.

He was saying something that was nontrivial and near the center of her Focus.

It can be a nontrivial problem to determine whether a given knot is prime or not.

In fact, there are no nontrivial modular forms of weight 2.

Six is the lowest stick number for any nontrivial knot.

The problem is nontrivial if agreements in are better for both parties than the disagreement.

I'll give you a couple of trivial possibilities, and then a nontrivial possibility.

Thus we can assume that the range is nontrivial.

Now consider the case in which H is nontrivial.

If done right, it is almost certain that at least one such factorization will be nontrivial.

As objects are made up of several different parts, copying becomes nontrivial.

If your program model is nontrivial, it's probably not the user model.