A milestone in the geometric understanding of algebraization theorems that also provides an introduction to Arakelov geometry Motivated by questions of transcendental number theory, arithmetic, and Diophantine geometry, this book provides a thorough study of a new kind of mathematical object—formal-analytic arithmetic surfaces. These are arithmetic counterparts in Arakelov geometry of germs of complex surfaces along projective complex curves. Formal-analytic arithmetic surfaces involve both an arithmetic and a complex-analytic aspect, and they provide a natural framework for old and new arithmetic algebraization theorems. Formal-analytic arithmetic surfaces admit a rich geometry that parallels the geometry of complex analytic surfaces. Notably the dichotomy between pseudoconvexity and pseudoconcavity plays a central role in this framework. The book develops the general theory of formal-analytic arithmetic surfaces, making notable use of real invariants coming from an infinite-dimensional version of geometry of numbers. Those so-called theta invariants play the role of the dimension of spaces of sections of vector bundles in complex geometry. Relating those invariants to the classical invariants of Arakelov intersection theory involves a new real invariant attached to certain maps between Riemann surfaces, the Archimedean overflow, which is introduced and discussed in detail. The book contains applications to concrete Diophantine problems. It provides a generalization of the arithmetic holonomicity theorem of Calegari-Dimitrov-Tang regarding the dimension of spaces of power series with integral coefficients satisfying some convergence conditions. It also establishes new effective finiteness theorems for fundamental groups of arithmetic surfaces. Along the way, the book discusses many tools, classical and new, in Arakelov geometry and complex analysis, and it can be used as an introduction to some of these topics.
A milestone in the geometric understanding of algebraization theorems that also provides an introduction to Arakelov geometry Motivated by questions of transcendental number theory, arithmetic, and Diophantine geometry, this book provides a thorough study of a new kind of mathematical object—formal-analytic arithmetic surfaces. These are arithmetic counterparts in Arakelov geometry of germs of complex surfaces along projective complex curves. Formal-analytic arithmetic surfaces involve both an arithmetic and a complex-analytic aspect, and they provide a natural framework for old and new arithmetic algebraization theorems. Formal-analytic arithmetic surfaces admit a rich geometry that parallels the geometry of complex analytic surfaces. Notably the dichotomy between pseudoconvexity and pseudoconcavity plays a central role in this framework. The book develops the general theory of formal-analytic arithmetic surfaces, making notable use of real invariants coming from an infinite-dimensional version of geometry of numbers. Those so-called theta invariants play the role of the dimension of spaces of sections of vector bundles in complex geometry. Relating those invariants to the classical invariants of Arakelov intersection theory involves a new real invariant attached to certain maps between Riemann surfaces, the Archimedean overflow, which is introduced and discussed in detail. The book contains applications to concrete Diophantine problems. It provides a generalization of the arithmetic holonomicity theorem of Calegari-Dimitrov-Tang regarding the dimension of spaces of power series with integral coefficients satisfying some convergence conditions. It also establishes new effective finiteness theorems for fundamental groups of arithmetic surfaces. Along the way, the book discusses many tools, classical and new, in Arakelov geometry and complex analysis, and it can be used as an introduction to some of these topics.
After a brief introduction to the main law of physics and fundamental concepts inherent in electromechanical conversion, Vector Control of Induction Machines introduces the standard mathematical models for induction machines – whichever rotor technology is used – as well as several squirrel-cage induction machine vector-control strategies. The use of causal ordering graphs allows systematization of the design stage, as well as standardization of the structure of control devices.Vector Control of Induction Machines suggests a unique approach aimed at reducing parameter sensitivity for vector controls based on a theoretical analysis of this sensitivity. This analysis naturally leads to the introduction of control strategies that are based on the combination of different controls with different robustness properties, through the use of fuzzy logic supervisors. Numerous applications and experiments confirm the validity of this simple solution, which is both reproducible and applicable to other complex systems.Vector Control of Induction Machines is written for researchers and postgraduate students in electrical engineering and motor drive design.
After a brief introduction to the main law of physics and fundamental concepts inherent in electromechanical conversion, Vector Control of Induction Machines introduces the standard mathematical models for induction machines – whichever rotor technology is used – as well as several squirrel-cage induction machine vector-control strategies. The use of causal ordering graphs allows systematization of the design stage, as well as standardization of the structure of control devices.Vector Control of Induction Machines suggests a unique approach aimed at reducing parameter sensitivity for vector controls based on a theoretical analysis of this sensitivity. This analysis naturally leads to the introduction of control strategies that are based on the combination of different controls with different robustness properties, through the use of fuzzy logic supervisors. Numerous applications and experiments confirm the validity of this simple solution, which is both reproducible and applicable to other complex systems.Vector Control of Induction Machines is written for researchers and postgraduate students in electrical engineering and motor drive design.
This book deals with the management and valuation of energy storage in electric power grids, highlighting the interest of storage systems in grid applications and developing management methodologies based on artificial intelligence tools. The authors highlight the importance of storing electrical energy, in the context of sustainable development, in "smart grids", and discuss multiple services that storing electrical energy can bring. Methodological tools are provided to build an energy management system storage following a generic approach. These tools are based on causal formalisms, artificial intelligence and explicit optimization techniques and are presented throughout the book in connection with concrete case studies.
Gandhis liv som tegneserie. «Det finnes ingen vei til fred. Fred er veien.» Gandhi (1869-1948) var en indisk politiker. Han ledet kampen mot det britiske styret i India, og ble internasjonalt berømt for sine tanker om ikkevold som middel i politisk og sosial kamp. Gandhi ble betraktet som en mahatma, som betyr «stor sjel», en hellig mann.
After a metaphysical accident on a roller coaster, young Mary begins tolean. Five years later, as a young woman, Mary joins Prof. Wappendorf in arocket. On an alien planet, they meet Jules Verne and a lonely artist. This is astory of persevarance and a search for love. This is the first time thisaward-winning graphic novel has been published in English.
The fourth release in Alaxis Press' The Obscure Cities series to be published by IDW brings the award winning graphic novels to readers in English for the first time Albert Chamisso, a newlywed of just a few weeks to Sarah, begins to have nightmares. Dr. Polydore Vincent helps him to get rid of the nightmares, but a strange side effect of the treatment is that his shadow is in color afterwards. He struggles with this, losing his wife and his job in the process. He moves to the outskirts of Blossfeldtstad where he meets the lovely Minna. Together they create a light show that becomes very popular in this bittersweet romantic noir tale.
