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Algorithms in Real Algebraic Geometry

Saugata Basu Richard Pollack Marie-Françoise Roy

Second Edition.

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Algebraic Geometry; Algorithms; Symbolic and Algebraic Manipulation

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-3-540-33098-1

ISBN electrónico

978-3-540-33099-8

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer-Verlag Berlin Heidelberg 2006

Cobertura temática

Tabla de contenidos

Introduction

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 1-10

Algebraically Closed Fields

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 11-27

Real Closed Fields

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 29-82

Semi-Algebraic Sets

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 83-99

Algebra

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 101-157

Decomposition of Semi-Algebraic Sets

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 159-194

Elements of Topology

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 195-236

Quantitative Semi-algebraic Geometry

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 237-280

Complexity of Basic Algorithms

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 281-322

Cauchy Index and Applications

Saugata Basu; Richard Pollack; Marie-Françoise Roy

Coordination languages are intended to simplify the development of complex software systems by separating the coordination aspects of an application from its computational aspects. Coordination refers to the ways the independent active pieces of a program (e.g. a process, a task, a thread, etc.) communicate and synchronise with each other. We review various approaches to introducing probabilistic or stochastic features in coordination languages. The main objective of such a study is to develop a semantic basis for a quantitative analysis of systems of interconnected or interacting components, which allows us to address not only the functional (qualitative) aspects of a system behaviour but also its non-functional aspects, typically considered in the realm of performance modelling and evaluation.

Pp. 323-350