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The variety in the geometry of commercially available beam end connectors hampers the development of a generalized analytic design approach for SPR BCCs.
By the Carleman-Vekua regularization method (Vekua in Generalized Analytic Functions, 1988) the initial equation is reduced to the Abel equation.
Expanding significantly beyond this work, the challenge of crafting generalized analytic forms for the transfer functions describing arbitrary single-qubit control compatible with universal non-commuting noise (a problem in nonlinear control) has recently been addressed theoretically [28, 38, 48, 49], and validated in experiment [37].
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The operation was initially described in [11] and then a generalized and analytic methodology was presented in [12, 13].
Here, we investigate their emergent optical properties using a generalized semi-analytic, full-field solver based on rigorous coupled wave analysis.
The factor-analytic generalized logit model statistically outperforms the factor-analytic multinomial logit and offers important behavioral and managerial suggestions for airlines and policy-makers.
A particular solution in the form of an analytic generalized Navier solution (a compound double Fourier series) is used to capture the response due to the loading within the rectangular domain.
These results extend the generalized (or 'pseudo') analytic function theory of Vekua [6] and Bers [7].
De Bruijn's contributions to mathematics also included his work on generalized function theory, analytic number theory, optimal control, quasicrystals, the mathematical analysis of games and much more.
To assess the robustness of our findings, two types of analytic models parametric generalized linear models and nonparametric generalized additive models were analyzed in parallel.
Finally, 'Big data architecture for adaptive learning systems' section describes a scalable, cloud-based learning analytics platform which runs generalized adaptive and analytical models on educational data in parallel.
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