Sentence examples for order extensions from inspiring English sources

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Such geometries are naturally defined on tangent bundles and higher order extensions provided with nonlinear connection structure or on manifolds of even dimensions (or containing embedding of such even dimension submanifolds) provided with exact chains of submanifolds prescribing the N-connection and associated nonholonomic frame structures.

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We present a direction-split higher order extension to both the SHLL method and apply it to AVX through the use of intrinsic functions in the flux computation and state computation modules.

Such solver, hereafter referred to as Flux-Source (FS) solver, was conceived as a high order extension of the augmented Roe solver and led to the generation of a novel numerical scheme called AR-ADER scheme.

Criticism of the order; Extension of the tribunal's jurisdiction beyond "violations of the laws of war" to encompass violations of all "other applicable laws"; Fact that martial law and military tribunals have been held unconstitutional for civilians residing in the U.S. so long as the civil courts were open.

We lay out the design of HasCasl, a higher order extension of the algebraic specification language Casl that serves both as a wide-spectrum language for the rigorous specification and development of software, in particular but not exclusively in modern functional programming languages, and as an expressive standard language for higher-order logic.

This is a higher order extension of the previous assumption.

The language to be used is a straightforward first order extension of the propositional modal language.

Spera and Capuzzo-Dolcetta (2015) work around this time-step problem by taking the average of the Aarseth fourth order method and the sixth order extension to compute the time-step (their Eq. 8).

The n-th order unscented Kalman filter combines two extensions: (1) the unscented Kalman filter [41], which allows arbitrary non-linear models to be used in Kalman filtering, (2) the n-th order extension, which allows more expressive autoregressive order n (AR n) movement models and neural tuning models.

Our n-th order unscented Kalman filter (UKF) combined two extensions to the standard Kalman filter [42]: (1) the unscented transform [41], which allowed approximate filtering under non-linear models, and (2) the n-th order extension, which allowed autoregressive movement models and multiple temporal-offset neural tuning models.

The pipeline is based on using the similarity between gene expression profiles to detect associations and contains a higher order extension of the data processing inequality method [ 9] to reduce the number of redundant or possible spurious links.

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