Sentence examples for demonstrate a theorem from inspiring English sources

Annotated Bibliography, §2.1 According to Pappus, then, a distinction should be drawn between theoretical and problematical analysis, depending on whether we are seeking to demonstrate a theorem (such as Pythagoras's theorem) or to carry out a construction (such as constructing an equilateral triangle on a given line).

At the end, we also briefly demonstrate a Liouville type theorem for the stationary weak solution.

On the basis of the above results, we may demonstrate a proof of Theorem 1.1 analogous to that in the paper [13].

We present a theorem which demonstrates that the computation of optimum exact designs corresponds to solving minimization problems in terms of design measures.

We prove a theorem that demonstrates that in the streaming limit, the spatially and temporally continuous Pn equations will allow negative energy densities for any finite order of n.

Figure 2 Plots (a - d) demonstra - dheorem 3.4 (a) andemonstrate (i)-(iii), respecTheorem

Before we demonstrate this theorem we needs the following lemma.

If we consider the Forchheimer equations if Δu is deleted, we will demonstrate another theorem.

We demonstrate that theorem provers using model elimination (ME) can be used as answer-complete interpreters for disjunctive logic programming.

In this section we demonstrate that Theorem 7 can be applied to sublinear, linear and superlinear problems.

The aim in this methodological paper is to demonstrate, using Bayes' Theorem, an approach to estimating the difference in prevalence of a disorder in two groups whose test scores are obtained, illustrated with data from a college student trial where 12-month outcomes are reported for the Alcohol Use Disorders Identification Test (AUDIT).