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We observe that numerical solutions produced by the exponential Euler method with arbitrary step-sizes (h>0) are all stable.

In this paper, we provide an overview of pulse shaping methods in OFDM systems and propose a new pulse-shaped design method with arbitrary length constraint and good time-frequency localization property.

Specifically, the contributions of this paper are as follows: a comprehensive overview of pulse shaping methods in OFDM systems is provided, followed by a new pulse shape design method with arbitrary length constraint, which maintains orthogonality while providing good time-frequency localization property.

The first half of the optimization is based on GGD-ILRMA with β=2 and p=1, and the second half is the proposed method with arbitrary parameters, where the NMF source model is retrained using the temporary estimated signal after the first-half optimization.

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By applying mixed interpolation methods with arbitrary nodes for approximating real functions and the eigenvalues of the given matrix A, we propose a definition for computing the matrix function f(A).

The new framework can be used to characterize arbitrary linear diffusion estimation methods with arbitrary q-space sampling, and can be used to theoretically evaluate and compare the accuracy, resolution, and noise-resilience of different data acquisition and parameter estimation techniques.

In this study we use a Discontinuous Galerkin Spectral Element method (DGSEM) with Arbitrary Lagrangian Eulerian (ALE) mapping for the spatial approximation, but the boundary states can be used with other methods, like finite volume schemes.

Our method deals with arbitrary experimental designs and performs competitively with alternative approaches, while making the search results interpretable in terms of differential expression patterns.

A slightly compressible viscous fluid was considered and the two-dimensional flow was analyzed using a two-step explicit method with an arbitrary Eulerian Lagrangean description.

The WHO detection methodology is based upon a binomial sequential lot quality assurance (BSLQA) sampling method with an arbitrary detection threshold of 5% [4], [5].

This contribution is motivated by the recent IJSS article titled "Formulation of the High-Fidelity Generalized Method of Cells with Arbitrary Cell Geometry for Refined Micromechanics and Damage in Composites" by Haj-Ali and Aboudi.

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