Introduction 1 1. Topological AR-quivers 2 2. Theorem of Brady-Watt and Bessis 3 3. Exceptional sequences 4 3.1. Basic definitions 5 3.2. Braid action on exceptional sequences 6 3.3. Example: Auslander-Reiten translation 7 4. Theorems about exceptional sequences 8 5. Appendix 10 5.1. Example: A2 10 5.2. More general almost split sequences 11 5.3. Bimodule of injectives 11 5.4. Untwisting in sep...

The equations of RFD can be written as a hyperbolic system of conservation laws by choosing an appropriate vector of unknowns. We give an explicit formulation of the full spectral decomposition of the Jacobian matrices associated to the uxes in each spatial direction, which is the essential ingredient of the techniques we propose in this paper. These techniques are based on the recently derived...

3 Clustering algorithms 5 3.1 ML/MAP based clustering . . . . . . . . . . . . . . 5 3.1.1 Parameter estimation based on ML . . . . . . 5 3.1.2 Parameter estimation based on MAP . . . . . 5 3.1.3 Membership distribution . . . . . . . . . . . 6 3.1.4 Dissimilarity . . . . . . . . . . . . . . . . . 7 3.1.5 Clustering . . . . . . . . . . . . . . . . . . . 7 3.1.6 Relevance analysis . . . . . . . . ...

Luca Cernuzzi, Lidia López, Jose Ignacio Panach and Martín Solari Universidad Católica “Nuestra Señora de la Asunción”, Paraguay, [email protected] Universidad Politècnica de Catalunya, España, [email protected] Escola Tècnica Superior d'Enginyeria, Departament d’Informàtica, Universitat de València, Avenida de la Universidad, s/n, 46100 Burjassot, Valencia, Spain, [email protected] Universida...

We examine corresponding Cauchy-Riemann equations by using the non-commutativity for the product on split-biquaternions. Additionally, we describe the regularity of functions and properties of their differential equations on split-biquaternions. We investigate representations and calculations of the derivatives of functions of split-biquaternionic variables. c ©2016 all rights reserved.

Split-brain cats using a single hemisphere show impaired performance on a variety of behavioral tasks. This has been attributed to a loss of cortical mass action. To test this proposal in primates, performance on a nested match-to-sample task was compared in split-brain, hemispherectomized, and normal monkeys. As expected, split-brain monkeys using a single hemisphere performed worse than norma...

An understanding of relations between causes and effects is essential for making sense of the dynamic physical world. It has been argued that this understanding of causality depends on both perceptual and inferential components. To investigate whether causal perception and causal inference rely on common or on distinct processes, the authors tested 2 callosotomy (split-brain) patients and a gro...