Then, by using the reversed Hölder's inequality, it follows that begin{aligned} biggl int_{Omega}h^{frac{1}{alpha}}(x),mathrm{d}x biggr)^{alpha}biggl( int_{Omega}|u_{n}|, mathrm{d}x biggr)^{1-alpha} leq&int_{Omega}h(x)|u_{n}|^{1-alpha},mathrm{d}x leq&|u_{n}|^{p}-int_{Omega}k(x)|u_{n}|^{1+beta},mathrm{d}xrightarrow0.
Clinical specimens from laboratory-confirmed cases of BU were decontaminated by using the reversed Petroff method, and mycobacterial DNA was extracted from the decontaminated solution as previously described (6 ).
The control data points of an impeller or a blade were obtained by using the reverse engineering method.
For by using the reverse H lder's inequality and the same way, we have the equivalent reverses of (3.6) and (3.7) with the same best constant factor.
For 0 < p 1 < 1, p i < 0 ( i = 2, …, n ), by using the reverse Hölder inequality and in the same way, we have the equivalent reverses of (19) and (20) with the same best constant factor.
Two fault models based on different available moment tensor solutions were employed, and their locations were constrained by using the reverse tsunami travel time from the stations to the epicenter.
For example, Au/polystyrene (PS) cable-like structures were obtained via emulsion polymerization on as-prepared Au nanorods [11]; Ag nanofibers/PS nanocomposites were prepared by using the reverse micelle-gas antisolvent-ultrasound method [12].
Based on the scanned point cloud data, the three-dimensional numerical models of the external auditory canal, tympanic membrane and middle ear are established by using the reverse prototyping technology, as are the FEM models.
In this paper we show how an optional auxiliary field appended to the RInChI, termed ProcAuxInfo, could be used for this purpose and demonstrate data integrity upon reverse translation in three examples, before proceeding to show a plausible application of machine readable process data in automated reaction analysis by using the reverse translated data to determine a reaction mass efficiency.
Therefore ∥ T ∥ = k λ. (ii) For 0 < p 1 < 1, p i < 0 ( i = 2, …, n ), by using the reverse Hölder inequality and in the same way, we have the equivalent reverses of (19) and (20) with the same best constant factor.
A common practice is to avoid this problem of estimating the expected amount for rewarding participants' efforts by using the reverse auctions technique, where the need for the requester to set or guess a reasonable amount for users is eliminated and the participants are allowed to set the amount themselves [125, 130].
