Sentence examples for demonstrate this theorem from inspiring English sources

Before we demonstrate this theorem we needs the following lemma.

Guttman et al. (1982, p. 30) demonstrates this theorem.

Examples demonstrate that this theorem can be utilized to estimate the geometry characteristics of the workspace and to guide the conceptual design of spatial parallel manipulators, especially for those with full degrees of freedom.

Examples demonstrate that this theorem can be utilized to investigate the geometry shapes of the workspace and to guide the conceptual design of spatial parallel manipulators, especially for those complicated spatial parallel manipulators with full degrees of freedom (DoF).

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

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.

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).

In order to demonstrate the main theorem of this section, we list the following hypotheses.

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).

In this section, we give an example to demonstrate Theorem 2.1.