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Based on the analysis, two benefits are shown by using MCNP for the direct 3D calculation.
The results are shown by using a novel technique and fixed point theories.
The stability and parameter convergence of the proposed protocols are shown by using algebraic graph theory and Lyapunov theory.
The numerical solutions of the fractional combined KdV mKdV equation are shown by using the collocation method.
These are shown by using Lemmas 2.1 and 2.2 as in the proofs of Lemmas 3.3 and 3.4 in [20], pp.247-248.
Recently, the differences between nasalance score of gender, age, dialect, and ethnic group are shown by using a nasometer in speech researches, which was mainly used in clinical experiment.
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This is shown by using the fact that the most knowledgeable mathematician, at best, doubles his or her knowledge after one hour.
This can be shown by using Theorem 4.1.
The continuous valley-unimodal solutions were shown by using the constructive method.
The second part is shown by using the Robin boundary condition.
The classifier performance is shown by using simulated track data and real-world radar data.
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