Sentence examples for main mathematical result from inspiring English sources

"The main mathematical result is the proof of the existence in any game of at least one equilibrium point".

We are now able to present our main mathematical result.

In this section, we prove the main mathematical result of this paper (uniqueness of the Gibbs measure).

To obtain our main mathematical result, we consider a multidimensional Ornstein Uhlenbeck process X ∈ R n on the directed graph G = ( V, E ) where | V | = n and | E | = m.

Our main mathematical result is to give the decomposition formula of an (mathbb {F} -martingale as a semimartingale in (mathbb {G}), which gives a positive answer to the Jacod's (H')-hypothesis.

The main mathematical result of the present work is formulated in Theorem 1. Theorem 1.

The following lemmas provide the main mathematical results in the sequel.

Before establishing the convergence analysis of the aforesaid algorithm, we review the well-known property, which provides the main mathematical results of this section.

To make our approach accessible to readers not familiar with stochastic equations and their analysis, in the Results/Discussion sections we mainly focus on the biological/biophysical context and implications of the models together with the main mathematical results which are verified by simulation.

This setting is of particular interest in the framework of stochastic learning models, and we present the main relevant mathematical results in the following section.

Kepler, however, sought physical mechanisms to explain his mathematical result.