The Experts below are selected from a list of 12750 Experts worldwide ranked by ideXlab platform
Muschik Wolfgang - One of the best experts on this subject based on the ideXlab platform.
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Discrete systems in thermal physics and engineering: a glance from non-equilibrium thermodynamics
2021Co-Authors: Muschik WolfgangAbstract:Non-equilibrium processes in Schottky systems generate by projection onto the equilibrium subspace reversible accompanying processes for which the non-equilibrium variables are functions of the equilibrium ones. The embedding theorem which guarantees the compatibility of the accompanying processes with the non-equilibrium entropy is proved. The non-equilibrium entropy is defined as a state function on the non-equilibrium state space containing the contact temperature as a non-equilibrium variable. If the entropy production does not depend on the internal energy, the contact temperature changes into the thermostatic temperature also in non-equilibrium, a fact which allows to use temperature as a Primitive Concept in non-equilibrium. The dissipation inequality is revisited, and an efficiency of generalized cyclic processes beyond the Carnot process is achieved.TU Berlin, Open-Access-Mittel – 202
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Discrete Systems in Thermal Physics and Engineering -- A Glance from Non-Equilibrium Thermodynamics
2020Co-Authors: Muschik WolfgangAbstract:Non-equilibrium processes in Schottky systems generate by projection onto the equilibrium subspace reversible accompanying processes for which the non-equilibrium variables are functions of the equilibrium ones. The embedding theorem which guarantees the compatibility of the accompanying processes with the non-equilibrium entropy is proved. The non-equilibrium entropy is defined as a state function on the non-equilibrium state space containing the contact temperature as a non-equilibrium variable. If the entropy production does not depend on the internal energy, the contact temperature changes into the thermostatic temperature also in non-equilibrium, a fact which allows to use temperature as a Primitive Concept in non-equilibrium. The dissipation inequality is revisited, and an efficiency of generalized cyclic processes beyond the Carnot process is achieved.Comment: 22 page
Florian Rabe - One of the best experts on this subject based on the ideXlab platform.
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representing model theory in a type theoretical logical framework
Electronic Notes in Theoretical Computer Science, 2009Co-Authors: Fulya Horozal, Florian RabeAbstract:We give a comprehensive formal representation of first-order logic using the recently developed module system for the Twelf implementation of the Edinburgh Logical Framework LF. The module system places strong emphasis on signature morphisms as the main Primitive Concept, which makes it particularly useful to reason about structural translations, which occur frequently in proof and model theory. Syntax and proof theory are encoded in the usual way using LF's higher order abstract syntax and judgments-as-types paradigm, but using the module system to treat all connectives and quantifiers independently. The difficulty is to reason about the model theory, for which the mathematical foundation in which the models are expressed must be encoded itself. We choose a variant of Martin-Lof's type theory as this foundation and use it to axiomatize first-order model theoretic semantics. Then we can encode the soundness proof as a signature morphism from the proof theory to the model theory. We extend our results to models given in terms of set theory using an encoding of Zermelo-Fraenkel set theory in LF and giving a signature morphism from Martin-Lof type theory into it. These encodings can be checked mechanically by Twelf. Our results demonstrate the feasibility of comprehensively formalizing large scale representation theorems and thus promise significant future applications.
Fulya Horozal - One of the best experts on this subject based on the ideXlab platform.
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representing model theory in a type theoretical logical framework
Electronic Notes in Theoretical Computer Science, 2009Co-Authors: Fulya Horozal, Florian RabeAbstract:We give a comprehensive formal representation of first-order logic using the recently developed module system for the Twelf implementation of the Edinburgh Logical Framework LF. The module system places strong emphasis on signature morphisms as the main Primitive Concept, which makes it particularly useful to reason about structural translations, which occur frequently in proof and model theory. Syntax and proof theory are encoded in the usual way using LF's higher order abstract syntax and judgments-as-types paradigm, but using the module system to treat all connectives and quantifiers independently. The difficulty is to reason about the model theory, for which the mathematical foundation in which the models are expressed must be encoded itself. We choose a variant of Martin-Lof's type theory as this foundation and use it to axiomatize first-order model theoretic semantics. Then we can encode the soundness proof as a signature morphism from the proof theory to the model theory. We extend our results to models given in terms of set theory using an encoding of Zermelo-Fraenkel set theory in LF and giving a signature morphism from Martin-Lof type theory into it. These encodings can be checked mechanically by Twelf. Our results demonstrate the feasibility of comprehensively formalizing large scale representation theorems and thus promise significant future applications.
Holik, Federico Hernán - One of the best experts on this subject based on the ideXlab platform.
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A discussion on particle number and quantum indistinguishability
2020Co-Authors: Domenech Graciela, Holik, Federico HernánAbstract:The Concept of individuality in quantum mechanics shows radical differences from the Concept of individuality in classical physics, as E. Schrödinger pointed out in the early steps of the theory. Regarding this fact, some authors suggested that quantum mechanics does not possess its own language, and therefore, quantum indistinguishability is not incorporated in the theory from the beginning. Nevertheless, it is possible to represent the idea of quantum indistinguishability with a first-order language using quasiset theory (Q). In this work, we show that Q cannot capture one of the most important features of quantum non-individuality, which is the fact that there are quantum systems for which particle number is not well defined. An axiomatic variant of Q, in which quasicardinal is not a Primitive Concept (for a kind of quasisets called finite quasisets), is also given. This result encourages the searching of theories in which the quasicardinal, being a secondary Concept, stands undefined for some quasisets, besides showing explicitly that in a set theory about collections of truly indistinguishable entities, the quasicardinal needs not necessarily be a Primitive Concept.Instituto de Física La Plat
Thomas S. Huang - One of the best experts on this subject based on the ideXlab platform.
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Multimedia LEGO: Learning Structured Model by Probabilistic Logic Ontology Tree
2013 IEEE 13th International Conference on Data Mining, 2013Co-Authors: Shiyu Chang, Yong Rui, Guo-jun Qi, Jinhui Tang, Qi Tian, Thomas S. HuangAbstract:Recent advances in Multimedia research have generated a large collection of Concept models, e.g., LSCOM and Media mill 101, which become accessible to other researchers. While most current research effort still focuses on building new Concepts from scratch, little effort has been made on constructing new Concepts upon the existing models already in the warehouse. To address this issue, we develop a new framework in this paper, termed LEGO, to seamlessly integrate both the new target training examples and the existing Primitive Concept models. LEGO treats the Primitive Concept models as a lego toy to potentially construct an unlimited vocabulary of new Concepts. Specifically, LEGO first formulates the logic operations to be the lego connectors to combine existing Concept models hierarchically in probabilistic logic ontology trees. LEGO then simultaneously incorporates new target training information to efficiently disambiguate the underlying logic tree and correct the error propagation. We present extensive experimental results on a large vehicle domain data set from Image Net, and demonstrate significantly superior performance over existing state-of-the-art approaches which build new Concept models from scratch.