Sentence examples for examples and prove from inspiring English sources

In Section 2.1, we give the basic definitions and examples and prove some classical exponential inequalities.

In this section, we will show two examples and prove the existence of affine-periodic solutions of them by using Corollary 1.1.

The People's Republic, he said, intended to set a good example and prove it can govern.

Subsequently, as an application of our results, in Sections 5, we provide an example and prove a fixed point theorem in b-metric spaces.

The proposed method is illustrated with a numerical example and proves to be effective and practical.

He made a rhapsodic recording of Samuel Barber's Piano Sonata, for example, and proved his musicianship in recordings of Beethoven's Fourth and Fifth Concertos with the eminent Fritz Reiner and the Chicago Symphony Orchestra.

Using thermal storage for load balancing of solar district heating systems is a practical solution which has been implemented in Brædstrup, Denmark for example, and proved to be an effective method for evening out base load during the year (Tordrup et al. 2016).

The performed examples validated and proved the viability of using GA to optimize composite and steel semi-rigid joints.

Several system study examples highlight the main concepts and prove the efficiency of the methods, both in terms of competences teaching and popularity among students.

The choice of examples and activities proved easier in some cases than others.

Parts of this work have involved the use of computers to understand a number of examples before formulating and proving the general results.