Sökning: "probability theory as logic"

Visar resultat 1 - 5 av 10 avhandlingar innehållade orden probability theory as logic.

1. 1. Quantum State Analysis : Probability theory as logic in Quantum mechanics

   Författare :Anders Månsson; Anders Karlsson; Gunnar Björk; Ingemar Bengtsson; KTH; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; quantum; quantum mechanics; state; state analysis; probability; probability theory; logic; Photonics; Fotonik;

   Sammanfattning : Quantum mechanics is basically a mathematical recipe on how to construct physical models. Historically its origin and main domain of application has been in the microscopic regime, although it strictly seen constitutes a general mathematical framework not limited to this regime. LÄS MER

3. 2. Limit Laws, Homogenizable Structures and Their Connections

   Författare :Ove Ahlman; Vera Koponen; Dugald Macpherson; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Model theory; random structure; finite model theory; simple theory; homogeneous structure; countably categorical; 0-1 law; Mathematical Logic; Matematisk logik; Mathematics; Matematik;

   Sammanfattning : This thesis is in the field of mathematical logic and especially model theory. The thesis contain six papers where the common theme is the Rado graph R. Some of the interesting abstract properties of R are that it is simple, homogeneous (and thus countably categorical), has SU-rank 1 and trivial dependence. LÄS MER

4. 3. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics

   Författare :Jakob Hultgren; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistical Mechanics; Point Processes; Hessian manifolds; Kähler geometry; Optimal Transport; Canonical metrics; Complex Monge-Ampère equations; Real Monge-Ampère equations; Kähler-Einstein metrics; Statistical Mechanics;

   Sammanfattning : Recent decades has seen a strong trend in complex geometry to study canonical metrics and the way they relate to geometric analysis, algebraic geometry and probability theory. This thesis consists of four papers each contributing to this field. The first paper sets up a probabilistic framework for real Monge-Ampère equations on tori. LÄS MER

5. 4. Generalized Vandermonde matrices and determinants in electromagnetic compatibility

   Författare :Karl Lundengård; Sergei Silvestrov; Dietrich von Rosen; Mälardalens högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Sammanfattning : Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. LÄS MER

7. 5. Studies in plausibility theory, with applications to physics

   Författare :Piero Giovanni Luca Porta Mana; Gunnar Björk; Sergei Ya. Kilin; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Bayesian probability theory; quantum theory; state assignment; state estimation; Physics; Fysik;

   Sammanfattning : The discipline usually called `probability theory' can be seen as the theory which describes and sets standard norms to the way we reason about plausibility. From this point of view, this `plausibility theory' is a province of logic, and the following informal proportion subsists: plausibility theory is to the common notion of `plausibility', as deductive logic is to the common notion of `truth'. LÄS MER