Sentence examples for explicit construction from inspiring English sources

It should be also noted that since the method of proof of Theorem 3 is totally constructive it automatically provides an algorithm for explicit construction of optimal meshes in star-like domains.

In 1934 the Norwegian Thoralf Skolem gave an explicit construction of what is now called a nonstandard model of arithmetic, containing "infinite numbers" and infinitesimals, each of which is a certain class of infinite sequences.

All of these applications are based on explicit construction of non-degenerate potentials.

Second, the explicit construction led to the resolution of a longstanding question in group theory.

In particular, this gives an explicit construction of nonconstant functions in these spaces.

Our method relies on an explicit construction of parametrices for the boundary value problem.

A complete characterization is determined, which allows an explicit construction of all such operators.

An explicit construction of the fourth-order compact case is given.

We present new polygonal designs with various parameter sets by explicit construction.

We also describe an explicit construction of (t,u -hashing families.

By this notion, we can get the explicit construction of much more affine moment invariants.