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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

Real Roots

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. 351-401

Cylindrical Decomposition Algorithm

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. 403-444

Polynomial System Solving

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. 445-503

Existential Theory of the Reals

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. 505-532

Quantifier Elimination

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. 533-562

Computing Roadmaps and Connected Components of 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. 563-592

Computing Roadmaps and Connected Components 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. 593-634