Sentence examples similar to therein introduced from inspiring English sources

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We simply calculate the wave propagation using a finite difference method (FDM) (e.g. Aochi and Douglas, 2006, references therein), introducing a 3D deep structure model provided by NIED (Fujiwara et al., 2009).

Both the CSNB2-associated point mutation Cav1.4 L860P [14,15] referred to as p.L849P in these publications and the truncation mutation Cav1.4 R1827X ([ 15]; referred to as p.R1816X therein) were introduced into the Cav1.4 α1 cDNA previously cloned from human retina (Genbank accession number, JF701915, length of open reading frame 5898 base pairs).

171 (2001) 678] and references cited therein, we introduce a mixture type of the model system that consists of the full Euler equations for the basic conserved variables and an additional set of evolution equations for the problem-dependent material quantities and also the approximate location of the interfaces.

Therein, we introduce IoMT as a novel paradigm in which smart heterogeneous multimedia things can interact and cooperate with one another and with other things connected to the Internet to facilitate multimedia based services and applications that are globally available to the users.

In order to state the result proved therein we introduce the Gaussian isoperimetric deficit (D_gamma (E)) and the Gaussian asymmetry (alpha _gamma (E)) by setting, respectively, begin{aligned} D_gamma (E):=P_gamma (E -e^{-frac{s^2}{2}},quad alpha _gamma (E -e^{-frac{s^2 mathbb {S}^{n-1}}gamma (E -e^{-frac{s^2), end{aligned}{henever E is a measurable set with (gamma (E)=Phi (s)), (nge 1).

For the simulations we have used parameter values and initial conditions introduced therein and reproduced in the Table 1 of the Additional file 1.

We introduce therein the discrete notation employed in this manuscript and provide a useful vector representation of our method.

In recent years, many authors have paid attention to studying the existence of nontrivial solutions for biharmonic equations (see, e.g., [1 3] and the references therein) since it was first introduced by Lazer and McKenna [4] to furnish a model for studying the traveling waves in suspension bridges.

The following concept was introduced in [4] (Definition 3.1 therein).

A variety of location-awareness techniques are introduced in [15] and the references therein.

Algorithm (1.1) was initially introduced in [26]; for more details see the references therein.

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