No description available.

Neste trabalho, estudamos a multiplicidade de Hilbert-Samuel, e suas possíveis generalizações, tais como números de Segre e a sequência de multiplicidades de Achilles e Manaresi / In this work is studied the multiplicity of Hilbert-Samuel and its possible generalizations, such as Segre numbers and sequence of multiplicities of Achilles and Manaresi

Thesis (M.S.)--Boston University / PLEASE NOTE: Boston University Libraries did not receive an Authorization To Manage form for this thesis or dissertation. It is therefore not openly accessible, though it may be available by request. If you are the author or principal advisor of this work and would like to request open access for it, please contact us at open-help@bu.edu. Thank you. / Considerable study h8s been devoted to the multiplicity function of a real variable. For any real valued function of a real variable, f(x), define its multiplicity function, N(Y), as the cardinal number of roots, either finite or infinite of y = f(x), i.e., when the cardinal number of roots is transfinite, assign the value infinite where it is understood that the range of the multiplicity function is the extended real number system. Banach^1 was the first to relate this function to a continuous function of bounded variation. He realized that the integral of this function over the Entire real line was precisely the total variation. He demonstrated analogous theorems for curves and surfaces. His approach is to express the curve on the surface parametrically. In the case of a simple arc in the plane, the original theorem can be applied to the parametric equations. This results in an expression for rectifiable arcs. To determine a surface of finite area requires a more careful study. Here, too, the method of parametric equations simplifies the problem. The proof consists chiefly in defining and in organizing the expressions of the surface in a manner that will allow the multiplicity theorem to be applied [TRUNCATED]. / 2031-01-01

In this work we discover for the first time a strong relationship between Geršgorin theory and the geometric multiplicities of eigenvalues. In fact, if λ is an eigenvalue of an n × n matrix A with geometric multiplicity k, then λ is in at least k Geršgorin discs of A. Moreover, construct the matrix C by replacing, in every row, the (k − 1) smallest off-diagonal entries in absolute value by 0, then λ is in at least k Geršgorin discs of C. We also state and prove many new applications and consequences of these results as well as we update an improve some important existing ones.

Neste trabalho, estudamos a multiplicidade de Hilbert-Samuel, e suas possíveis generalizações, tais como números de Segre e a sequência de multiplicidades de Achilles e Manaresi / In this work is studied the multiplicity of Hilbert-Samuel and its possible generalizations, such as Segre numbers and sequence of multiplicities of Achilles and Manaresi

No description available.

No description available.

Uma educação por entre as linhas. Uma multiplicidade de textos. Freqüências díspares e sonoridades singulares. Este é o jogo. Intercessores são secretamente convocados. Gilles Deleuze e Félix Guattari. Samuel Beckett. Antonin Artaud. Virginia Woolf. Henry Miller. Franz Kafka. Maurice Blanchot. Friedrich Nietzsche. A cada repetição uma diferença de intensidade. Linhas que atravessam um tempo, uma vida, um pensamento. E o jogo continua. Mais intercessores são chamados. Clarice Lispector. Fernando Pessoa. Roland Barthes. Mikhail Bakhtin. E outros tantos, mais imperceptivelmente, quem sabe. E os conceitos? Talvez se encontrem ali, transversalmente às linhas do texto. Mal vistos? Mal ditos? / An education between the lines. A multiplicity of texts. Mismatched frequencies and singular sonorities. This is the name of the game. Intercessors are secretly summoned. Gilles Deleuze and Félix Guattari. Samuel Beckett. Antonin Artaud. Virginia Woolf. Henry Miller. Franz Kafka. Maurice Blanchot. Friedrich Nietzsche. With each repetition a difference of intensity. Lines which traverse a time, a life, a thought. And the game goes on. New intercessors are invited. Clarice Lispector. Fernando Pessoa. Roland Barthes. Mikhail Bakhtin. And so many others, more imperceptibly, who knows. And what about the concepts? Maybe they can be found out there, cutting the lines of the text. Ill seen? Ill said?

Uma educação por entre as linhas. Uma multiplicidade de textos. Freqüências díspares e sonoridades singulares. Este é o jogo. Intercessores são secretamente convocados. Gilles Deleuze e Félix Guattari. Samuel Beckett. Antonin Artaud. Virginia Woolf. Henry Miller. Franz Kafka. Maurice Blanchot. Friedrich Nietzsche. A cada repetição uma diferença de intensidade. Linhas que atravessam um tempo, uma vida, um pensamento. E o jogo continua. Mais intercessores são chamados. Clarice Lispector. Fernando Pessoa. Roland Barthes. Mikhail Bakhtin. E outros tantos, mais imperceptivelmente, quem sabe. E os conceitos? Talvez se encontrem ali, transversalmente às linhas do texto. Mal vistos? Mal ditos? / An education between the lines. A multiplicity of texts. Mismatched frequencies and singular sonorities. This is the name of the game. Intercessors are secretly summoned. Gilles Deleuze and Félix Guattari. Samuel Beckett. Antonin Artaud. Virginia Woolf. Henry Miller. Franz Kafka. Maurice Blanchot. Friedrich Nietzsche. With each repetition a difference of intensity. Lines which traverse a time, a life, a thought. And the game goes on. New intercessors are invited. Clarice Lispector. Fernando Pessoa. Roland Barthes. Mikhail Bakhtin. And so many others, more imperceptibly, who knows. And what about the concepts? Maybe they can be found out there, cutting the lines of the text. Ill seen? Ill said?

Uma educação por entre as linhas. Uma multiplicidade de textos. Freqüências díspares e sonoridades singulares. Este é o jogo. Intercessores são secretamente convocados. Gilles Deleuze e Félix Guattari. Samuel Beckett. Antonin Artaud. Virginia Woolf. Henry Miller. Franz Kafka. Maurice Blanchot. Friedrich Nietzsche. A cada repetição uma diferença de intensidade. Linhas que atravessam um tempo, uma vida, um pensamento. E o jogo continua. Mais intercessores são chamados. Clarice Lispector. Fernando Pessoa. Roland Barthes. Mikhail Bakhtin. E outros tantos, mais imperceptivelmente, quem sabe. E os conceitos? Talvez se encontrem ali, transversalmente às linhas do texto. Mal vistos? Mal ditos? / An education between the lines. A multiplicity of texts. Mismatched frequencies and singular sonorities. This is the name of the game. Intercessors are secretly summoned. Gilles Deleuze and Félix Guattari. Samuel Beckett. Antonin Artaud. Virginia Woolf. Henry Miller. Franz Kafka. Maurice Blanchot. Friedrich Nietzsche. With each repetition a difference of intensity. Lines which traverse a time, a life, a thought. And the game goes on. New intercessors are invited. Clarice Lispector. Fernando Pessoa. Roland Barthes. Mikhail Bakhtin. And so many others, more imperceptibly, who knows. And what about the concepts? Maybe they can be found out there, cutting the lines of the text. Ill seen? Ill said?