Cross Recurrence Plot Based Synchronization of Time Series

The method of recurrence plots is extended to the cross recurrence plots (CRP), which among others enables the study of synchronization or time differences in two time series. This is emphasized in a distorted main diagonal in the cross recurrence plot, the line of synchronization (LOS). A non-parametrical fit of this LOS can be used to rescale the time axis of the two data series (whereby one of it is e.g. compressed or stretched) so that they are synchronized. An application of this method to geophysical sediment core data illustrates its suitability for real data. The rock magnetic data of two different sediment cores from the Makarov Basin can be adjusted to each other by using this method, so that they are comparable.Comment: Nonlinear Processes in Geophysics, 9, 2002, in pres

Średniowieczne wierzenia – nieczysta siła w kulturze Słowian

Książka jest zbiorem tekstów prezentujących szeroki wachlarz zagadnień dotyczących historii średniowiecznej Polski i Europy. W czterech działach – na wybranych, konkretnych przykładach – podjęto tematykę dotyczącą monarchów i ich rodzin, społeczeństwa i jego poczynań, sztuki, architektury i artefaktów życia codziennego, jak również światopoglądu ludzi wieków średnich. Tak różnorodne problemy badawcze zaciekawią wszystkich, którzy interesują się historią średniowiecza, w tym heraldyką, genealogią, archeologią czy historią sztuki

Ajdukiewicz o stosowalności czystej logiki do zagadnień filozoficznych

Ajdukiewicz about the applicability of pure logic to philosophical issues the paper is an analysis of the arguments contained by Kazimierz Ajdukiewicz in his article On the applicability of pure logic to philosophical issues (1934). the author argues that philosophers in support of their claims can not use pure logic statements as evidence. Because theses formulate their common language, they can only appeal to the logic of everyday language, an alternative to the modern systems of symbolic logic

Conditional Partial Plans for Rational Situated Agents Capable of Deductive Reasoning and Inductive Learning

Rational, autonomous agents that are able to achieve their goals in dynamic, partially observable environments are the ultimate dream of Artificial Intelligence research since its beginning. The goal of this PhD thesis is to propose, develop and evaluate a framework well suited for creating intelligent agents that would be able to learn from experience, thus becoming more efficient at solving their tasks. We aim to create an agent able to function in adverse environments that it only partially understands. We are convinced that symbolic knowledge representations are the best way to achieve such versatility. In order to balance deliberation and acting, our agent needs to be emph{time-aware}, i.e. it needs to have the means to estimate its own reasoning and acting time. One of the crucial challenges is to ensure smooth interactions between the agent's internal reasoning mechanism and the learning system used to improve its behaviour. In order to address it, our agent will create several different conditional partial plans and reason about the potential usefulness of each one. Moreover it will generalise whatever experience it gathers and use it when solving subsequent, similar, problem instances. In this thesis we present on the conceptual level an architecture for rational agents, as well as implementation-based experimental results confirming that a successful lifelong learning of an autonomous artificial agent can be achieved using it

Dirac Eigenvalues of higher Multiplicity

Let M be a closed spin manifold of dimension at least three with a fixed topological spin structure. For any Riemannian metric, we can construct the associated Dirac operator. The spectrum of this Dirac operator depends on the metric of course. In 2005, Dahl conjectured that M can be given a metric, for which a finite part of the spectrum consists of arbitrarily prescribed eigenvalues of arbitrary (finite) multiplicity. The only constraints one has to respect are the exception of the zero eigenvalue (due to the Atiyah-Singer index theorem) and in certain dimensions, the quaternionic structure of the eigenspaces and also the symmetry of the spectrum. Dahl also proved his conjecture in case all eigenvalues have simple multiplicities. The question, if one can prescribe arbitrary multiplicities, or if the existence of eigenvalues of higher multiplicity might somehow be topologically obstructed, has been open ever since. In this thesis, we prove that on any closed spin manifold of dimension m congruent 0, 6, 7 mod 8, there exists a metric for which at least one eigenvalue is of higher multiplicity. For the proof, we introduce a technique which "catches" the desired metric with a loop in the space of all Riemannian metrics. We will construct such a loop on the sphere and transport it to a general manifold by extending some classical surgery theory results by B\"ar and Dahl. As a preparation, we will show that the Dirac spectrum can be described globally by a continuous family of functions on the space of Riemannian metrics and that the spinor field bundles with respect to the various metrics assemble to a continuous bundle of Hilbert spaces. These results might be useful in their own right.Comment: PhD thesis, 128 pages, 13 figures, contains an updated version of arXiv:1303.656

The Willmore Conjecture

The Willmore problem studies which torus has the least amount of bending energy. We explain how to think of a torus as a donut-shaped surface and how the intuitive notion of bending has been studied by mathematics over time

Mechanisms of Emulsion Destabilization: An Investigation of Surfactant, Stabilizer, and Detergent Based Formulations Using Diffusing Wave Spectroscopy

Conventional approaches for studying emulsions, such as microscopy and macroscopic phase tracking, present challenges when it comes to establishing detailed mechanistic descriptions of the impact of emulsifier and stabilizer additives. Additionally, while a combination of sizing methods and macroscopic phase tracking can provide insights into droplet size changes and concentration, the use of multiple measurements can be cumbersome and error-prone. It is the focus of this work, to present a new method for studying water in oil (W/O) emulsions that involves using diffusing wave spectroscopy (DWS) to examine the impact of three different surface stabilizing additives at varying concentrations. By monitoring changes in the transport mean free path length ($l^*$) it is demonstrated that a single DWS measurement provides similar insights to traditional methods. In addition to revealing physical dynamics inaccessible through conventional techniques. Nine specific additives were analyzed and detailed characterization and classification with relation to mechanisms of destabilization are detailed, and provide useful in improving formulations. The wealth of information provided by DWS measurements suggests that it could be useful in developing formulations tailored to specific use cases, rather than just in fundamental research