Study of the audio coding algorithm of the MPEG-4 AAC standard and comparison among implementations of modules of the algorithm

Audio coding is used to compress digital audio signals, thereby reducing the amount of bits needed to transmit or to store an audio signal. This is useful when network bandwidth or storage capacity is very limited. Audio compression algorithms are based on an encoding and decoding process. In the encoding step, the uncompressed audio signal is transformed into a coded representation, thereby compressing the audio signal. Thereafter, the coded audio signal eventually needs to be restored (e.g. for playing back) through decoding of the coded audio signal. The decoder receives the bitstream and reconverts it into an uncompressed signal. ISO-MPEG is a standard for high-quality, low bit-rate video and audio coding. The audio part of the standard is composed by algorithms for high-quality low-bit-rate audio coding, i.e. algorithms that reduce the original bit-rate, while guaranteeing high quality of the audio signal. The audio coding algorithms consists of MPEG-1 (with three different layers), MPEG-2, MPEG-2 AAC, and MPEG-4. This work presents a study of the MPEG-4 AAC audio coding algorithm. Besides, it presents the implementation of the AAC algorithm on different platforms, and comparisons among implementations. The implementations are in C language, in Assembly of Intel Pentium, in C-language using DSP processor, and in HDL. Since each implementation has its own application niche, each one is valid as a final solution. Moreover, another purpose of this work is the comparison among these implementations, considering estimated costs, execution time, and advantages and disadvantages of each one.

Sheaves, local homeomorphisms and local sets as Hilbert locale modules

We give a thorough account of the various equivalent notions for \sheaf" on a locale, namely the separated and complete presheaves, the local home- omorphisms, and the local sets, and to provide a new approach based on quantale modules whereby we see that sheaves can be identi¯ed with certain Hilbert modules in the sense of Paseka. This formulation provides us with an interesting category that has immediate meaningful relations to those of sheaves, local homeomorphisms and local sets. The concept of B-set (local set over the locale B) present in [3] is seen as a simetric idempotent matrix with entries on B, and a map of B-sets as de¯ned in [8] is shown to be also a matrix satisfying some conditions. This gives us useful tools that permit the algebraic manipulation of B-sets. The main result is to show that the existing notions of \sheaf" on a locale B are also equivalent to a new concept what we call a Hilbert module with an Hilbert base. These modules are the projective modules since they are the image of a free module by a idempotent automorphism On the ¯rst chapter, we recall some well known results about partially ordered sets and lattices. On chapter two we introduce the category of Sup-lattices, and the cate- gory of locales, Loc. We describe the adjunction between this category and the category Top of topological spaces whose restriction to spacial locales give us a duality between this category and the category of sober spaces. We ¯nish this chapter with the de¯nitions of module over a quantale and Hilbert Module. Chapter three concerns with various equivalent notions namely: sheaves of sets, local homeomorphisms and local sets (projection matrices with entries on a locale). We ¯nish giving a direct algebraic proof that each local set is isomorphic to a complete local set, whose rows correspond to the singletons. On chapter four we de¯ne B-locale, study open maps and local homeo- morphims. The main new result is on the ¯fth chapter where we de¯ne the Hilbert modules and Hilbert modules with an Hilbert and show this latter concept is equivalent to the previous notions of sheaf over a locale.

Educação a distância e material didático: um estudo sobre o curso mídias na educação

The thesis Distance learning and didactic material: a study about the course Media in the education in Natal shows a research about the didactic material and its insertion in the distance training course to teachers. In this sense, this research aims to contribute to some universities with reflections about the way to elaborate the didactic material to the distance training course of teachers with the following specific objectives: a) identify some aspects in the didactic material in the extension course Media in the Education that difficult media usage by the teachers members of the course in the pedagogical practice; b) discuss about the way how didactic material to the distance training course to teachers has been created; c) stimulate teachers/members to integrate media in their teacher practice. For that reason, we have developed an action-research (THIOLLENT, 2011; FRANCO, 2005), based on it we elaborated a proposal do complement activities to the course Media in the Education that were applied to two classes during the fifth edition of this course. This research is presented in four steps: 1st) analyze of the course modules; 2nd) creation of a proposal to complement the activities; 3rd) applying the proposal to the students during the fifth edition to the course; 4th) analyze of forums and log books written by teachers/students. Data was analyzed by the contents perspective of Bardin (2011). As a theoretical support, we have Tardif (2012), about teachers knowledge; Dewey (1959; 2011) and Freire (2001; 2009; 2010a; 2010b; 2012) related to learning perspective; Candau (2002), Rays (2003) and Freire (2010a), about the relation theory x practice in the teacher training; Andrade (2003; 2009) and Belloni (2010) about distance teacher training; Bérvot; Belloni (2009), Neves; Medeiros (2005) and Prado (2005), related to Media integration. This research revealed the didactic material of the course Media in the Education has not a proposal to articulate theory and practice, due to this, this course opposed the Media integration. For that reason, teachers/members have real problems to integrate Media in their scholar routine. This research confirmed the way this didactic material was formulated did not help the teachers/students to integrate media in their pedagogical activities

Nonlinear (2+1)-dimensional systems solvable through asymptotic modules

Some nonlinear differential systems in (2+1) dimensions are characterized by means of asymptotic modules involving two poles and a ring of linear differential operators with scalar coefficients.Rational and soliton-like are exhibited. If these coefficients are rational functions, the formalism leads to nonlinear evolution equations with constraints. © 1989.

Static converter: didactic support software

Teaching a course of special electric loads in a continuing education program to power engineers is a difficult task because they are not familiarized with switching topology circuits. Normally, in a typical program, many hours are dedicated to explain the thyristors switching sequence and to draw the converter currents and terminal voltages waveforms for different operative conditions. This work presents teaching support software in order to optimize the time spent in this task and, mainly to benefit the assimilation of the proposed subjects, studying the static converter under different non-ideal operative conditions.

Elaboração e avaliação de um ambiente virtual para o ensino/aprendizagem de embriologia

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

The Didactic Transposition of the Photoelectric Effect in High School Brazilian Physics Textbooks

É notório que o livro didático desempenha um papel fundamental na prática pedagógica da maioria dos professores de Física constituindo importante fonte de referência para professores e estudantes. Ao mesmo tempo representa a memória impressa das demandas e paradigmas de ensino, e procura atender às exigências prescritas na legislação e diretrizes, de uma determinada localidade e período. Atualmente, a inserção de Física Moderna e Contemporânea no currículo do Ensino Médio brasileiro está entre as prioridades, preconizando, entre. outros, o ensino do efeito fotoelétrico, em função da relevância do fenômeno ao corroborar a interpretação corpuscular da natureza da luz, e o consequente laureio de Albert Einstein com o Prêmio Nobel. Estudos realizados apontam que muitos dos livros didáticos apresentam a história do efeito fotoelétrico de maneira superficial ou errônea, e expõem incorretamente a função trabalho e o conceito de fóton (Klassen, 2011). Tendo em vista o exposto, objetivamos analisar como ocorre a apresentação do efeito fotoelétrico especificamente em dez coleções didáticas brasileiras aprovadas pelo Programa Nacional do Livro Didático do Ensino Médio 2012 do governo federal, tendo como aporte teórico as considerações de Yves Chevallard (Brockington e Pietrocola, 2005). Procuramos resposta para a seguinte pergunta: Quais são as transposições ocorridas na apresentação do efeito fotoelétrico (saber sábio) para se tornar o saber a ensinar em materiais escolares? Nossa análise centrou-se no processo de descontextualização, entendido como o processo pelo qual o saber sábio passa para que seja ensinável, sendo necessário que seja arrancado de seu contexto original, ou seja, o seu processo histórico.

Multiseries Lie groups and asymptotic modules for characterizing and solving integrable models

A multiseries integrable model (MSIM) is defined as a family of compatible flows on an infinite-dimensional Lie group of N-tuples of formal series around N given poles on the Riemann sphere. Broad classes of solutions to a MSIM are characterized through modules over rings of rational functions, called asymptotic modules. Possible ways for constructing asymptotic modules are Riemann-Hilbert and ∂̄ problems. When MSIM's are written in terms of the group coordinates, some of them can be contracted into standard integrable models involving a small number of scalar functions only. Simple contractible MSIM's corresponding to one pole, yield the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy. Two-pole contractible MSIM's are exhibited, which lead to a hierarchy of solvable systems of nonlinear differential equations consisting of (2 + 1) -dimensional evolution equations and of quite strong differential constraints. © 1989 American Institute of Physics.

Scalar-bipolar asymptotic modules for solving (2+1)-dimensional nonlinear evolution equations with constraints

An infinite hierarchy of solvable systems of purely differential nonlinear equations is introduced within the framework of asymptotic modules. Eacy system consists of (2+1)-dimensional evolution equations for two complex functions and of quite strong differential constraints. It may be interpreted formally as an integro-differential equation in (1+1) dimensions. © 1988.

Formação de professores de matemática da educação superior e as tecnologias digitais: aspectos do conhecimento revelados no contexto de uma comunidade de prática online

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Sequência didática e o interacionismo sociodiscursivo na geografia escolar: propostas teórico-metdologógicas

Pós-graduação em Geografia - IGCE

Class Notes for Math 918: Cohen Macaulay Modules, Instructor Roger Wiegand

Topics covered are: Cohen Macaulay modules, zero-dimensional rings, one-dimensional rings, hypersurfaces of finite Cohen-Macaulay type, complete and henselian rings, Krull-Remak-Schmidt, Canonical modules and duality, AR sequences and quivers, two-dimensional rings, ascent and descent of finite Cohen Macaulay type, bounded Cohen Macaulay type.