Sentence examples for definite functions from inspiring English sources

He made major advances in abstract algebra in 1926 and the following year used the theory of formal-real fields to solve the Hilbert problem of definite functions.

Another widely used term is positive definite functions.

Positive definite functions satisfy the following characterization (see [12]).

Liapunov function is taken as a sum of positive definite functions with different degrees.

Survey of positive definite functions is given in [10] and [11].

They encode the representation theory of the group via the positive definite functions on the group: positive definite functions correspond to cyclic representations and span these algebras as linear spaces.

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.

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