Кострикин А. И. Сборник задач по алгебре
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segunda-feira, 25 de dezembro de 2023
sábado, 23 de dezembro de 2023
Виноградова Задачи и упражнения по математическому анализу-Problems and exercises in mathematical analysis-Vinogradova I. A.
Виноградова Задачи и упражнения по математическому анализу-
Problems and exercises in mathematical analysis
Vinogradova I. A.
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segunda-feira, 27 de novembro de 2023
Problemas de FISICA - 1999 - 3rd ed. - Vorobiev I.I., Zubkov P.I., Kutuzova G.A., Savchenko (VERSION ESPAÑOL,RUSO, E INGLES)
http://www.mediafire.com/file/ndgt9l3o1omcnk8/problemas_de_fisica_savchenko.pdf
SAVCHENKO ORIGINAL EM RUSO:
И.И.Воробьев, П.И.Зубков, ГЛ.Кутузова, О.Я.Савченко, АМ.Трубачев,
В. Г.Харитонов
Задачи по физике, под ред. О.Я.Савченко
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PROBLEM IN PHYSICS SAVCHENKO (VERSION ENGLISH)
quinta-feira, 23 de novembro de 2023
M.Yu. Demidova, V.A. Gribov, A.I. Gigolo. 1000 Unified State Exam problems. With answers and solutions. 2017-
segunda-feira, 20 de novembro de 2023
domingo, 19 de novembro de 2023
論文題目 Computing Valuations of Determinants via Combinatorial Optimization: Applications to Differential Equations-Thesis title Computing Valuations of Determinants via Combinatorial Optimization: Applications to Differential Equations by Oshiro, Taihei- University of Tokyo,2021-03-19
論 文 の 内 容 の 要 旨 論文題目 Computing Valuations of Determinants via Combinatorial Optimization: Applications to Differential Equations （組合せ最適化による行列式の付値計算：微分方程式への応用） 氏 名 大城 泰平
ABSTRACT
Degrees of determinants of polynomial matrices often appear as an algebraic
formulation of weighted combinatorial optimization problems. For example,
weighted Edmonds' problem (WEP), which is to compute the degree of the determinant
of a polynomial matrix having symbols, reduces to the weighted bipartite matching
problem and the weighted linear matroid intersection and parity problems depending
on symbols' pattern. Conversely, the degree of the determinant of an arbitrary
polynomial matrix serves as a lower bound on the maximum weight of a perfect
matching in the associated edge-weighted bipartite graph. Based on this relation,
the combinatorial relaxation algorithm of Murota (1995) computes the degree of
the determinant of a polynomial matrix by iteratively solving the weighted
bipartite matching problem.
The above property on degrees of determinants extends to valuations of
determinants of matrices over valuation fields, or more generally, to valuations
of the Dieudonné determinants of matrices over valuation skew fields. In
combinatorial optimization, valuations of the Dieudonné determinants arise from
a noncommutative version of WEP (nc-WEP). An algebraic abstraction of linear
differential and difference equations gives rise to skew polynomials, which are
a noncommutative generalization of polynomials. Valuations of Dieudonné
determinants of skew polynomial matrices provide information on dimensions of
solution spaces of linear differential and difference equations.
The combinatorial relaxation is of importance to preprocessing of
differential-algebraic equations (DAEs). In numerical analysis of DAEs,
consistent initialization and index reduction are necessary preprocessing prior
to the numerical integration. Popular preprocessing methods of Pantelides (1988),
Mattsson–Söderlind (1993), and Pryce (2001) are based on the assignment problem
on a bipartite graph that represents variable occurrences in equations. The
structural methods, however, fail for some DAEs due to inherent numerical or
symbolic cancellations. The combinatorial relaxation provides a framework of
modifying a DAE into another DAE to which the structural methods are applicable,
whereas modification method used in the framework should be appropriately chosen
according to the target DAEs.
In the first half of this thesis, we propose two algorithms for computing
valuations of the Dieudonné determinants of matrices over valuation skew fields.
The algorithms are extensions of the combinatorial relaxation of Murota and the
matrix expansion by Moriyama—Murota (2013), both of which are based on
combinatorial optimization. We show that the skew polynomials arise as the most
general algebraic structure to which these algorithms admit natural extensions.
Applications are presented for the nc-WEP and analysis of linear differential and
difference equations.
The last half of this thesis is devoted to DAEs' modification methods based
on the combinatorial relaxation. This thesis presents three methods for modifying
DAEs into other DAEs to which the preprocessing methods can be applied. One method
is for linear DAEs whose coefficient matrices are mixed matrices, which are
matrices having symbols representing physical quantities. We develop an efficient
algorithm that relies on graph and matroid algorithms but not on symbolic
computation. Other two deal with general nonlinear DAEs with the aid of symbolic
computation engines to manipulate nonlinear formulas. In addition to theoretical
guarantees, we conduct numerical experiments on real instances to present
practical efficiency.
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sexta-feira, 17 de novembro de 2023
CÓMO OBTENER LA MÁXIMA PUNTUACIÓN EN EL EXAMEN DE FÍSICA Resolver problemas de mayor y mayor nivel de complejidad. Moscú Khannanov, N.K-2021.
N.K. Khannanov CÓMO OBTENER LA MÁXIMA PUNTUACIÓN EN EXAMEN DE FÍSICA Resolver tareas de mayor y mayor nivel de complejidad. Moscú
Khannanov, N.K.
El manual propuesto proporciona características de los principales tipos de tareas de mayor y alto nivel de complejidad utilizadas en el Examen Estatal Unificado de Física. Se presta especial atención al análisis de las tareas que provocaron las mayores dificultades. Para la formación y la autopreparación para el Examen Estatal Unificado, se ofrecen tareas con respuestas detalladas de distintos niveles de dificultad para todos los bloques de contenido.
ENLACE PARA BAJAR TEXT
quinta-feira, 16 de novembro de 2023
Сборник задач по физике с решениями и ответами. Часть 3. Электричество и оптика - Долгов А.Н., Протасов В.П., Соболев Б.Н. - 2001-Colección de problemas de física con soluciones y respuestas. Parte 3. Electricidad y óptica: Dolgov A.N., Protasov V.P., Sobolev B.N. - 2001
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quarta-feira, 15 de novembro de 2023
segunda-feira, 9 de outubro de 2023
domingo, 24 de setembro de 2023
Design and evaluation of automotive power module : 650V GaN E-HEMT with meandered interconnection and integrated motor-inverter power module
Design and evaluation of automotive power module : 650V GaN E-HEMT with meandered interconnection and integrated motor-inverter power module
ABSTRACT
With increasing demand in automotive fuel efficiency and ever-strengthening global carbon dioxide emission regulations, electrification has become an indispensable trend. Especially in the automobile industry, miniaturization and performance are other major challenges, and they should be considered with electrification as goals in the equipment design stage. Because of the challenges, a tailored design and evaluation process is necessary for power modules that perform high-level power conversion for motor driving.
This dissertation attempts to present the design and evaluation of power modules used in electrified vehicles. The dissertation starts with the configuration of a power module and a description of each module component. A power module includes power devices and packaging components. Among the power devices, wide bandgap (WBG) devices have recently been widely used in power modules, and their characteristics are described. In addition, the roles of packaging components and their design considerations are presented. Because the power module treats electric power, electrical verification is important. Electrical verification methods based on the finite element method (FEM) and circuit simulation tools are introduced.
The aforementioned design and evaluation methods are applied to the proposed models of two applications. First, a new interconnection design is proposed. The interconnection is specially designed for the GaN E-mode High-electron-mobility Transistor (E-HEMT). The design process for the proposed interconnection is presented in detail, and a parametric study is conducted considering major design variables, to achieve minimum parasitic inductance and thermal resistance objectives. The expected advantages of the optimal interconnection design, as obtained from the parametric study, are described. To verify these expected advantages, various simulations and experiments are conducted. A prototype of the proposed interconnection is fabricated and experimentally evaluated. Secondly, the inverter power module is designed and analyzed to be applied in the motor-inverter integrated structure of the electric compressor and starter-generator components used in 48-V mild hybrid vehicle system. An improved power module design is proposed, and it demonstrates all of the electrical and thermal performances required in the integrated structure. The performances are evaluated by conducting electrical/thermal simulations and experiments. As a result, the superiority of the proposed interconnection for GaN E-HEMTs and the improved power module considering the integrated structure was demonstrated, and their evaluation processes were validated based on the similarity between the simulation and experimental results.
segunda-feira, 11 de setembro de 2023
Сборник задач по физике (Баканина, Белонучкин, Козел, Мазанько) 1983 год - старые учебники-Coleção de problemas de física (Bakanina, Belonuchkin, Kozel, Mazanko) 1983
Coleção de problemas de física (Bakanina, Belonuchkin, Kozel, Mazanko) 1983
Objetivo: Para estudantes de departamentos preparatórios de universidades, pessoas que se preparam de forma independente para admissão em universidades com perfil físico; pode ser utilizado no trabalho de escolas de física e matemática e clubes escolares de física, além de servir como um benefício adicional para alunos de universidades pedagógicas e professores de física de escolas secundárias.
A coleção contém mais de 850 problemas de física, principalmente daqueles oferecidos nos vestibulares do Instituto de Física e Tecnologia de Moscou. Juntamente com problemas de maior dificuldade, a coleção inclui problemas mais simples destinados a um leitor menos preparado, destinados à familiarização inicial com a metodologia de resolução de problemas. A maioria dos problemas é acompanhada de soluções ou explicações. Ao mesmo tempo, uma série de tarefas são deixadas para análise independente.
© "Ciência, Editora Principal de Literatura Física e Matemática" Moscou 1983
Autoria: Lyudmila Pavlovna Bakanina, Vladimir Evgenievich Belonuchkin, Stanislav Mironovich Kozel, Igor Pavlovich Mazanko
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segunda-feira, 14 de agosto de 2023
Problemas de los exámenes de ingreso en matemáticas-MEVDEVEV-Медведев Г.Н. Задачи вступительных экзаменов по математике-1993-2004
El libro presenta a escolares y profesores las opciones para los exámenes escritos de matemáticas en la Facultad de Física de la Universidad Estatal de Moscú. Se dan dos variantes con respuestas para cada uno de los 33 exámenes y olimpiadas para 1993-2004. También se dan soluciones a problemas geométricos más complejos y problemas con un parámetro.
Una característica de este manual, a diferencia de los manuales comunes, es que los problemas resueltos no se toman de las dos opciones dadas, sino de la tercera opción.
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