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Conics and Cubics: A Concrete Introduction to Algebraic Curves

Robert Bix

Second Edition.

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Algebraic Geometry; Geometry; Numerical Analysis

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

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-31802-8

ISBN electrónico

978-0-387-39273-8

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer Science+Business Media, LLC 2006

Cobertura temática

Tabla de contenidos

Intersections of Curves

Robert Bix

In conclusion, we have shown how scanning probe microscopy has been applied to investigate, isolate and manipulate different organic molecules on metal, semiconductor and insulating surfaces. The same chemical compounds give rise to different structures, depending on several factors, such as the adsorbate coverage, the substrate orientation or the temperature. Self-assembled patterns formed on the step edges of insulating surfaces — or raised from metal substrates by specifically designed molecular “legs” — can be used as molecular wires. The different conformations assumed by single molecules can be viewed as different logical states of a digital circuit. Scanning probe microscopy might become one of the essential ingredients to design future molecular electronics devices. Well-defined experiments to investigate self-assembly characteristics and to measure the mechanical and electrical properties of the individual molecules will be performed. Internal degrees of freedoms of the molecules and mechanical instabilities are rather complex phenomena, which will need both experimental and computational efforts to achieve the required degree of control of these novel molecular electronics devices.

Pp. 1-68

Conics

Robert Bix

In conclusion, we have shown how scanning probe microscopy has been applied to investigate, isolate and manipulate different organic molecules on metal, semiconductor and insulating surfaces. The same chemical compounds give rise to different structures, depending on several factors, such as the adsorbate coverage, the substrate orientation or the temperature. Self-assembled patterns formed on the step edges of insulating surfaces — or raised from metal substrates by specifically designed molecular “legs” — can be used as molecular wires. The different conformations assumed by single molecules can be viewed as different logical states of a digital circuit. Scanning probe microscopy might become one of the essential ingredients to design future molecular electronics devices. Well-defined experiments to investigate self-assembly characteristics and to measure the mechanical and electrical properties of the individual molecules will be performed. Internal degrees of freedoms of the molecules and mechanical instabilities are rather complex phenomena, which will need both experimental and computational efforts to achieve the required degree of control of these novel molecular electronics devices.

Pp. 69-126

Cubics

Robert Bix

In conclusion, we have shown how scanning probe microscopy has been applied to investigate, isolate and manipulate different organic molecules on metal, semiconductor and insulating surfaces. The same chemical compounds give rise to different structures, depending on several factors, such as the adsorbate coverage, the substrate orientation or the temperature. Self-assembled patterns formed on the step edges of insulating surfaces — or raised from metal substrates by specifically designed molecular “legs” — can be used as molecular wires. The different conformations assumed by single molecules can be viewed as different logical states of a digital circuit. Scanning probe microscopy might become one of the essential ingredients to design future molecular electronics devices. Well-defined experiments to investigate self-assembly characteristics and to measure the mechanical and electrical properties of the individual molecules will be performed. Internal degrees of freedoms of the molecules and mechanical instabilities are rather complex phenomena, which will need both experimental and computational efforts to achieve the required degree of control of these novel molecular electronics devices.

Pp. 127-244

Parametrizing Curves

Robert Bix

In conclusion, we have shown how scanning probe microscopy has been applied to investigate, isolate and manipulate different organic molecules on metal, semiconductor and insulating surfaces. The same chemical compounds give rise to different structures, depending on several factors, such as the adsorbate coverage, the substrate orientation or the temperature. Self-assembled patterns formed on the step edges of insulating surfaces — or raised from metal substrates by specifically designed molecular “legs” — can be used as molecular wires. The different conformations assumed by single molecules can be viewed as different logical states of a digital circuit. Scanning probe microscopy might become one of the essential ingredients to design future molecular electronics devices. Well-defined experiments to investigate self-assembly characteristics and to measure the mechanical and electrical properties of the individual molecules will be performed. Internal degrees of freedoms of the molecules and mechanical instabilities are rather complex phenomena, which will need both experimental and computational efforts to achieve the required degree of control of these novel molecular electronics devices.

Pp. 245-339