Sentence examples for finally by utilizing from inspiring English sources

Finally, by utilizing the delayed Lorenz chaotic system as the dynamics of all nodes, simulation examples are given to demonstrate the effectiveness of our theoretical results.

Finally, by utilizing the elementary inequality in inner product spaces (2.21).

Finally, by utilizing the fixed point index theory, we establish the multiplicity of positive solutions for the case 0 < λ < λ ∗.

Finally, by utilizing Lemma 4, it follows that (1.1 - 1.2 1.1 - 1.2east two positive solutions for thascate λ ∈ ( 0, λ ∗ ), which combined with Proposition 2 yieleastheorem 1.

Finally, by utilizing a simple diffusion model and empirical results where firms comprise a community with those firms that belong to the same industry but different home countries, we showed numerically that regulations on the purchases conflict minerals by limited number of G8 firms belonging to some specific industries would substantially reduce their worldwide use.

Finally, by utilizing the definition of incomplete gamma function (i.e., (gamma left (alpha,xright){triangleq int _{0}^{x}}t^{alpha -1}e^{-t}dt)), we obtain P_{out}=frac{1}{left N-1right)!}gammaleft(N,frac{zetaleft({sigma_{z}^{2}}+sigma_{eta}^{2}right)}{2psi}right) (57).

Some areas are still needed to be enhanced and developed, which includes mainly increasing the commitment of emergency physicians towards their specialty and investing in subspecialties training, encouraging and advancing research, and finally improving training by utilizing simulation centers.

Finally, it iteratively generates results by utilizing hints from previous round computations, a gradient boosting strategy that directly accelerates solving process.

Firstly, this paper has discussed its constituent elements and structural model by systematic engineering method; Secondly, this paper has revealed its self-organization characteristics by utilizing organization theory; Finally, this paper has established the dynamic engineering model of its organization evolution by using organizing theory.

In order to simulate the optical gain, firstly the wave functions associated with conduction and valence sub-bands, carrier densities within the bands, energy band dispersion relations for the quantum well structure, optical matrix elements and finally optical gain have been studied by utilizing the six band k.p method.

Finally, the layers and phases are assembled by utilizing covalent bonding, van der Waals force, electrostatic force, hydrogen bonding, and so on.