Sentence examples for definite function from inspiring English sources

But precisely because of its unreality, the neo-Bolshevik spectacle has a definite function in contemporary society.

Fantasy needn't have a definite function: we like to think that it helps us to explain and explore our own world, which it does; but it is also entirely delightful and enthralling in and of itself.

which is a positive definite function.

So, (W_{1}(x)) is a positive definite function.

(See Chapter 5 in [9] for some basic properties of the positive definite function).

Suppose f : R d ↦ R is a radial, continuous and positive definite function with compact support.

It is negative definite if (-V k,u)) is a positive definite function.

Theorem 12. Let be a positive definite function given equation in Theorem 11.

Then there exists a compactly supported continuous positive definite function F such that f - F ∞ ≤ ϵ.

Then V is a convex, continuous, and positive definite function on ({mathbb {R}}^{n}).

Now, we show that (overset{W}) is a negative definite function.