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Model completeness for trivial, uncountably categorical theories of Morley rank one
uncountably categorical theories Model completeness
2015/9/28
The present paper is a direct continuation of [2], where it is shown that any strongly
minimal trivial theory is model complete after naming constants for a model. In this
paper we show that this re...
REGRESSION WITH AN ORDERED CATEGORICAL RESPONSE
Proportional odds Ordered categorical Non-parametric
2015/8/21
A survey on Mselenijoint disease in South Africa involved the scoring ofpelvic X-rays of women to measure osteoporosis. The scores were ordinal by construction and ranged from 0 to 12. It is standard ...
Categorical Ontology of Complex Systems, Meta-Systems and Theory of Levels: The Emergence of Life, Human Consciousness and Society
Quantum-Weave Patterns in Learning and the Development of Human Consciousness Quantum Automata Cell Interactomics dynamics of genetic-proteomic networks and signalling pathways, development, regeneration, the control mechanisms of cell dynamic programming in cells Neoplastic Transformations and Oncogenesis Categories and Functors Homology Theory applications to Qualitative Dynamics Quantum Genetics Relational Oscillations Organismic Supercategories Qualitative Dynamics of Systems in Organismic Supercategories Algebraic Geometry in Biology, Cell Division Control and Dynamic Programnming Cancer Cell Cycling Categorical Dynamic Systems Observables Generating Diagram, Relational Biology Single Molecule Dynamics Quantum, Electron Tunneling mechanisms in Enzyme Catalized reactions
2015/7/15
Single cell interactomics in simpler organisms, as well as somatic cell interactomics in multicellular organisms, involve biomolecular interactions in complex signalling pathways that were recently re...
Non-commutative Hodge structures: Towards matching categorical and geometric examples
Non-commutative Hodge structures matching categorical geometric examples Algebraic Geometry
2011/9/9
Abstract: The subject of the present work is the "de Rham part" of non-commutative Hodge structures on the periodic cyclic homology of differential graded algebras and categories. We discuss explicit ...
A faithful linear-categorical action of the mapping class group of a surface with boundary
faithful linear-categorical action mapping class group surface with boundary
2011/1/18
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. The paper is self-contained, and in particular does not assume any ...
In programming language semantics, it has proved to be fruitful to analyze context-dependent notions of computation, e.g.,
In programming language semantics, it has proved to be fruitful to analyze context-dependent notions of computation, e.g., dataflow computation and attribute grammars, using comonads.
Concrete Foundations for Categorical Quantum Physics
Concrete Foundations Categorical Quantum Physics
2011/3/4
An original presentation of Categorical Quantum Physics, in the line of Abramsky and Coecke [10], tries to introduce only objects and assumptions that are clearly relevant to Physics and does not assu...
Model theoretic internality provides conditions under which the group of automorphisms of a model over a reduct is itself a definable group. In this paper we formulate a categorical analogue of the co...
We examine the use of the mathematics of category theory in the description of quantum states
by tensor networks. This approach enables the development of a categorical framework allowing a
solution...
Deep determinism and the assessment of mechanistic interaction between categorical and continuous variables
mechanistic interaction categorical continuous variables
2011/1/5
Our aim is to detect mechanistic interaction between the effects of two causal factors on a binary response, as an aid to identifying situations where the effects are mediated by a common mechanism. W...
Polar decomposition unquestionably provides a notion of factorization in the category of Hilbert spaces. But it does not fit existing categorical notions, mainly because its factors are not closed und...
We prove that every many-sorted !-categorical theory is com-pletely interpretable in a one-sorted !-categorical theory. As an ap-plication, we give a short proof of the existence of non G–compact !-ca...
The aim of this work is to bring the fields of category theory and quantum information science into closer contact. Specifically, we present an explicit representation of dagger compact closed categor...
Complementarity in categorical quantum mechanics
Complementarity categorical quantum mechanics
2010/12/15
We relate notions of complementarity in three layers of quantum mechanics:(i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices.