Siris (1744) has a three-fold aim: to establish the virtues of tar-water (a liquid prepared by letting pine tar stand in water) as a medical panacea, to provide scientific background supporting the efficacy of tar-water, and to lead the mind of the reader, via gradual steps, toward contemplation of God.
So he doesn't have to know these things, but, instead, a chain of communication going back to Feynman himself has been established, by virtue of his membership in a community which passed the name on from link to link…[25] In Kripke's theory I learn a name from someone and pass it on.
The result of the existence of two positive solutions is established by virtue of fixed point index theory on cones.
By introducing a piecewise continuous auxiliary function, some sufficient conditions for globally exponential lag synchronization are established by virtue of piecewise analytic method.
In contrast to the techniques of proving in [1], our results will be established by virtue of the famous Hardy inequality.
Noting that (0<gamma<1), (0<sigma<frac{1}{2} ), and (2sigma +gamma<1), it follows that the conclusions of (i) are established by virtue of Lemma 2.2 and Lemma 2.3(i) as (I_{0}gg1).
The sufficient conditions on the local stability of disease-free equilibria (P_{0}) and unique endemic equilibria (P^) are established by virtue of basic reproduction number (R_{s}), the quantity (H_{M}) and condition (A).
Herein, a delicate photoelectrochemical biosensor for quantitative detection of trypsin was successfully established by virtue of polyethylenimine-sensitized TiO2 mesocrystal as the photoactive matrix integrated with Boron-doped carbon quantum dots labeled peptide as the signal amplification tags.
Each NB acquires a unique identity according to its position along the dorso-ventral and antero-posterior axes as well as to the timing of its birth; these unique identities are established by virtue of the expression of different transcription factors [6].
