Sentence examples for we introduce therein from inspiring English sources

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

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

In view of these fundamental principles, which are to govern our decision, we may approach the question submitted to us in the present case, and inquire whether it is competent for a state to levy a tax or impose any other restriction upon the citizens or inhabitants of other states for selling or seeking to sell their goods in such state before they are introduced therein.

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).

Motivated by research works of [13 16] and references therein, in this paper, we introduce the concept of semilocal E-preinvexity and study some of its important properties.

In Section 3, we introduce important research results related to our work that were reported in previous studies, and briefly discuss the problems therein.

We introduce the elements in stages.

Now we introduce a second complication.

Using that, we introduce a further abbreviation.