Sentence examples for is firstly provided from inspiring English sources

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To design the weights, a sufficient condition on the eigenvalues of the weight matrix is firstly provided by analyzing multiple linearly coupled algebraic Riccati equations.

A brief outline of the local, distortional and global buckling behaviour of EHS tubes is firstly provided, where it is shown that local buckling modes govern the stability of short to intermediate length tubes while distortional modes control the stability of intermediate length to moderately long tubes and global buckling dominates the behaviour of longer tubes.

For that, the definition of Tchebichef polynomials is firstly provided, followed by Krawtchouk, dual Hahn and Racah polynomials.

In this section, a brief review of the face reflectance model is firstly provided in such a manner that establishes a coherent basis for presenting the proposed illumination normalization technique.

A summary table of the domains is firstly provided, and users can click the 'Find it' hyperlink inside the table to find more MRPs containing the same domain.

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Finite-time boundedness conditions are firstly provided for the one-sided Lipschitz system.

Furthermore, some analytic linkages between the generalized wordlength pattern of double design and that of the original one are firstly provided here, which extend the existing findings.

Flows of goods between places of production and consumption are firstly provided on the aggregated level.

Small-gain theorem for nonlinear systems was firstly provided by Mareels and Hill [33] and was extended to the stochastic case by Wu et al. [32].

Furthermore, to evaluate the error of approximate critical points, the formal definitions of δ -approximate extremum point and δ -approximate inflection point are firstly provided, where δ denotes the relative error between the approximate critical point and the exact one.

The state of the art, concerning the experimental activities with nTiO2 toward the saltwater organisms is firstly illustrated, providing statistical information about the different matrices, organisms and nanoparticles employed.

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