In the original release the two functions were JacobiR and JacobiCpp, suggesting in their name which coding they were based upon. Since the release of version 0.2-2, there have been some changes which unfortunately are not backward compatible. Firstly, JacobiCpp has become simply Jacobi; there is, however, a non-exported function JacobiEigen:::JacobiCpp used as the workhorse. Secondly, and more...

Abstract Despite being the most popular methods of data analysis, Fourier-based techniques suffer from the problem of static resolution that is currently believed to be a fundamental limitation of the Fourier Transform. Although alternative solutions overcome this limitation, none provide the simplicity, versatility, and convenience of the Fourier analysis. The lack of convenience often prevent...

Based on the Propagation-Inside-Layer Expansion (PILE) and Forward-Backward method (FBM), the composite scattering from the target below a dielectric rough soil surface using the extended PILE (EPILE) combined with the Forward-Backward method (FBM) is studied. The accuracy and efficiency of the EPILE + FBM for this specific type of composite scattering is researched by comparing with the method...

We introduce a new approach for analysis and numerical simulations of asymmetric first-price auctions, which is based on dynamical systems. We apply this approach to asymmetric auctions in which players’ valuations are power-law distributed. We utilize a dynamical-systems formulation to provide a proof of the existence and uniqueness of the equilibrium strategies in the cases of two coalitions ...

A systematic way of extending a general fixed-stepsize multistep formula to a minimum storage variable-stepsize formula has been discovered that encompasses fixed-coefficient (interpolatory), variable-coefficient (variable step), and fixed leading coefficient as special cases. In particular, it is shown that the " interpolatory" stepsize changing technique of Nordsieck leads to a truly variable...

Abstract Background and aim Healthcare utilization of the population changed by COVID-19 pandemic. There is limited research on healthcare use patients. This study aimed to describe patients within 3 months after diagnosis investigate associated factors. Methods Patients older than 18-years who tested positive for SARS-CoV-2 RNA in Dokuz Eylül University Hospital-Turkey November December 2020 (...

In this study we discuss methods for solving random resistor networks and similar problems. We discuss the node elimination method and we demonstrate its equivalence to the Gaussian elimination scheme, finding a good elimination order, which makes the method highly efficient. The transfer matrix method is shown to be a special case of the node elimination method with an ordering that is far fro...

3 Production of lemmas in first order logic 10 The method "Model Elimination is a proof method very easy to implement and it is the reason of his success. To present it, we use the following references [OD97], [Don78] et [Sut12]. The last document presents clearly and concisely the production of the lemma. Without this help, it would have been impossible to write this explanation of the method ...