Sentence examples for basic theorem concerning the from inspiring English sources

A basic theorem concerning the existence of the result and its uniqueness for the linear fractional equation is as follows.

Ceva's theorem, in geometry, theorem concerning the vertices and sides of a triangle.

We now state our main theorem concerning the early stage of an outbreak.

Archimedes discovered fundamental theorems concerning the centre of gravity of plane geometric shapes and solids.

The first talk was delivered by J. H. Hutchinson who spoke on "Some Theorems Concerning the Hessian of a Cubic Surface".

However, in this case, the new definition would make it more difficult to state theorems concerning the even numbers.

In this section, we provide some basic theorems and lemmas concerning the difference operators as well as multi-additive functions.

For 0.999... one can apply the convergence theorem concerning geometric series: If |r| < 1 \,\! then ar+ar^2+ar^3+\cdots = \frac{ar}{1-r}.

There is a more general theorem concerning mixed strategy equilibrium.

The aim of this section is to introduce a class of stochastic differential systems (SDS) and recall some basic definitions and theorems concerning an exponential control Lyapunov function for the exponential stability in probability of this system that we are dealing with in the rest of the paper.

We now give some basic definitions and theorems concerning an iterated function system, which are used in the proofs below.