Sentence examples for by using the five from inspiring English sources
By using the five functionals fixed point theorem [20], Liu obtained the existence criteria of at least three positive solutions.
By using the five functionals fixed point theorem, the authors gave sufficient conditions for the existence of three positive solutions of above problem.
In this section, we are to prove the existence of at least three positive solutions in the boundary value problems (1.9) and (1.10) by using the five functionals fixed point theorem which is attributed to Avery [35].
In order to calculate the thermal conductivities of the three silicone composites of this work, which contains fillers with large aspect ratios, the following regression equation is obtained by using the five sets of data in Table 1 of Ref [33].
Peggy's research suggests by using the five pillars of Professor Martin Seligman's PERMA model of wellbeing - positive emotions, engagement, relationships, meaning, and accomplishment - as well as physical health, you can sustain your wellbeing over the long term by balancing your focus across these different areas depending on what's happening in your life at the moment.
By using the five HR practices indicated above, all three dimensions of AMO theory are covered.
A graphic on the blog categorized the responses by using the four cartoon characters.
By using the five-zone annular phase-only binary pupil filter as the diffractive optical elements and AgInSbTe as the nonlinear absorption inorganic resist thin film, the depth of focus cannot only extend to 7.39 times that of the focused spot, but also reduce the lithographic feature size down to 54.6 nm.
By using the two previous lemmas, we get the following.
