Sentence examples for our oscillations from inspiring English sources

So rather than see it as a system by which God spoke to us through prophets, books and laws, we reduced religion to a strange and sometimes amusing set of rules on which the lower classes depended; having stripped religion of its power, we were able to accept it into our home, as a strange sort of background music to accompany our oscillations between East and West.

Firstly, our oscillations are driven by excitatory-inhibitory feedback rather than by synaptic delay in inhibitory-inhibitory coupling, and so their frequency is strongly modulated by changing synaptic strengths or sparseness of connectivity, rather than determined primarily by a delay time.

In this section, the application of our oscillation criteria will be shown in two examples.

Two examples are given to illustrate our oscillation criterion in Section 4.

Hence, to compare results of [5] and our oscillation criteria we have to apply results of [5] to (8), see Remark 6.

In Sections 3-5, we have presented several examples of equations from applied mathematics and mathematical physics in which our oscillation-detection program can be carried out successfully.

In the following, we state some oscillation results for differential equations that will be related to our oscillation results for (1.1) on time scales and explain the important contributions of this paper.

On the other hand, we point out that, contrary to [8, 13, 18, 19], we do not need in our oscillation theorems quite restrictive conditions (4) and (5), which, in a certain sense, is a significant improvement compared to the results in the cited papers.

Thus, in our model, oscillations persist and are amplified by the cerebellum even after a large reduction in the number of cells in the inferior olive.

In Section 3, we first give some useful and important lemmas, then establish our main oscillation and stability results.

In this section, we prove our mean oscillation estimates using the Hölder estimates developed in Sect. 4 and the (L_2 -estimates of the Stokes system given in L_2 -estimates