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Reticulados via corpos ciclotômicos

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ISBN: 9788568334393 Year: Pages: 194 DOI: 10.7476/9788568334393 Language: Portuguese
Publisher: SciELO Books - Editora UNESP
Subject: Mathematics
Added to DOAB on : 2017-05-03 11:26:21
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O primeiro capítulo, assim, introduz osconceitos de módulo, inteiro algébrico, norma e traço de um elemento,discriminante, base integral, anel de Dedekind e outros conceitosindispensáveis ao desenvolvimento dos demais capítulos. Estuda ainda as formas quadráticas, as quais se aplicam para determinar o raio de empacotamento da realização geométricade um ideal em questão.O capítulo 2 apresenta um estudo sobre corpos de números, com ênfase nos anéis dos inteiros e discriminantes de corpos quadráticos e ciclotômicos, além de abordar a decomposição de um ideal primo em uma extensão fazendo uso do Teorema de Kummer.As definições de reticulado, empacotamento esférico, volume e densidade de centro são abordadas no terceiro capítulo, que ainda trata do método de Minkowski para obtenção de reticulados via representação geométrica de ideais dos anéis de inteiros algébricos.

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MATHEMATICS

Planar Dynamical Systems

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ISBN: 9783110298291 9783110298369 Year: Pages: 389,00 DOI: 10.1515/9783110298369 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102378
Subject: Mathematics
Added to DOAB on : 2019-04-25 11:21:03
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This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's 16th problem. This book is intended for graduate students, post-doctors and researchers in the area of theories and applications of dynamical systems. For all engineers who are interested the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of an one-year course on nonlinear differential equations.

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Mathematics

Signal Processing

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ISBN: 9781482241846 Year: Language: English
Publisher: CRC Press Grant: Knowledge Unlatched - 102705
Subject: Mathematics
Added to DOAB on : 2019-10-23 11:21:13
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This book explains how mathematical tools can be used to solve problems in signal processing. Assuming an advanced undergraduate- or graduate-level understanding of mathematics, this second edition contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters. It expands the material on Fourier analysis to three new chapters to provide additional background information, presents real-world examples of applications that demonstrate how mathematics is used in remote sensing, and includes robust appendices and problems for classroom use.

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Mathematics

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