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Mathematik Multimodal


Mathematik Multimodal
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Modalities And Multimodalities


Modalities And Multimodalities
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Author : Walter Carnielli
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-15

Modalities And Multimodalities written by Walter Carnielli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-15 with Philosophy categories.


In the last two decades modal logic has undergone an explosive growth, to thepointthatacompletebibliographyofthisbranchoflogic,supposingthat someone were capable to compile it, would ?ll itself a ponderous volume. What is impressive in the growth of modal logic has not been so much the quick accumulation of results but the richness of its thematic dev- opments. In the 1960s, when Kripke semantics gave new credibility to the logic of modalities? which was already known and appreciated in the Ancient and Medieval times? no one could have foreseen that in a short time modal logic would become a lively source of ideas and methods for analytical philosophers,historians of philosophy,linguists, epistemologists and computer scientists. The aim which oriented the composition of this book was not to write a new manual of modal logic (there are a lot of excellent textbooks on the market, and the expert reader will realize how much we bene?ted from manyofthem)buttoo?ertoeveryreader,evenwithnospeci?cbackground in logic, a conceptually linear path in the labyrinth of the current panorama of modal logic. The notion which in our opinion looked suitable to work as a compass in this enterprise was the notion of multimodality, or, more speci?cally, the basic idea of grounding systems on languages admitting more than one primitive modal operator.



Geometric Pressure For Multimodal Maps Of The Interval


Geometric Pressure For Multimodal Maps Of The Interval
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Author : Feliks Przytycki
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-06-10

Geometric Pressure For Multimodal Maps Of The Interval written by Feliks Przytycki and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-10 with Conformal geometry categories.


This paper is an interval dynamics counterpart of three theories founded earlier by the authors, S. Smirnov and others in the setting of the iteration of rational maps on the Riemann sphere: the equivalence of several notions of non-uniform hyperbolicity, Geometric Pressure, and Nice Inducing Schemes methods leading to results in thermodynamical formalism. The authors work in a setting of generalized multimodal maps, that is, smooth maps f of a finite union of compact intervals Iˆ in R into R with non-flat critical points, such that on its maximal forward invariant set K the map f is topologically transitive and has positive topological entropy. They prove that several notions of non-uniform hyperbolicity of f|K are equivalent (including uniform hyperbolicity on periodic orbits, TCE & all periodic orbits in K hyperbolic repelling, Lyapunov hyperbolicity, and exponential shrinking of pull-backs). They prove that several definitions of geometric pressure P(t), that is pressure for the map f|K and the potential −tlog|f′|, give the same value (including pressure on periodic orbits, “tree” pressure, variational pressures and conformal pressure). Finally they prove that, provided all periodic orbits in K are hyperbolic repelling, the function P(t) is real analytic for t between the “condensation” and “freezing” parameters and that for each such t there exists unique equilibrium (and conformal) measure satisfying strong statistical properties.



Multimodal Texts In Disciplinary Education


Multimodal Texts In Disciplinary Education
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Author : Kristina Danielsson
language : en
Publisher: Springer Nature
Release Date : 2021-06-30

Multimodal Texts In Disciplinary Education written by Kristina Danielsson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-30 with Education categories.


This open access book provides an introduction to multimodality and the role of multimodal texts in today’s education. Presenting a comprehensive framework for analysing and working with multimodal texts in disciplinary education, it serves as a tool for researchers and teachers alike. The second part of the book focuses on sample analyses of a variety of educational texts for different age groups and from different disciplines, including games and online resources. The authors also comment on the specific challenges of each text, and how teachers can discuss such texts with their students to enhance both their understanding of the content and their multimodal literacy. The book is intended for researchers in fields like education and multimodal studies, and for teacher educators, regardless of school subject or age group. With the combined perspectives on text analysis and implications for education, the book addresses the needs of teachers who want to work with multimodal aspects of texts in education in informed ways, but lack the right tools for such work.



Multi Modal Data Fusion Based On Embeddings


Multi Modal Data Fusion Based On Embeddings
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Author : S. Thoma
language : en
Publisher: IOS Press
Release Date : 2019-11-06

Multi Modal Data Fusion Based On Embeddings written by S. Thoma and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-06 with Computers categories.


Many web pages include structured data in the form of semantic markup, which can be transferred to the Resource Description Framework (RDF) or provide an interface to retrieve RDF data directly. This RDF data enables machines to automatically process and use the data. When applications need data from more than one source the data has to be integrated, and the automation of this can be challenging. Usually, vocabularies are used to concisely describe the data, but because of the decentralized nature of the web, multiple data sources can provide similar information with different vocabularies, making integration more difficult. This book, Multi-modal Data Fusion based on Embeddings, describes how similar statements about entities can be identified across sources, independent of the vocabulary and data modeling choices. Previous approaches have relied on clean and extensively modeled ontologies for the alignment of statements, but the often noisy data in a web context does not necessarily adhere to these prerequisites. In this book, the use of RDF label information of entities is proposed to tackle this problem. In combination with embeddings, the use of label information allows for a better integration of noisy data, something that has been empirically confirmed by experiment. The book presents two main scientific contributions: the vocabulary and modeling agnostic fusion approach on the purely textual label information, and the combination of three different modalities into one multi-modal embedding space for a more human-like notion of similarity. The book will be of interest to all those faced with the problem of processing data from multiple web-based sources.



Mathematik Multimodal


Mathematik Multimodal
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Author : Stefan Jörissen
language : de
Publisher: Waxmann Verlag
Release Date : 2013-07

Mathematik Multimodal written by Stefan Jörissen and has been published by Waxmann Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07 with categories.




A Multimodal Approach To Classroom Discourse


A Multimodal Approach To Classroom Discourse
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Author : Kay O'Halloran
language : en
Publisher: Equinox
Release Date : 2017-12

A Multimodal Approach To Classroom Discourse written by Kay O'Halloran and has been published by Equinox this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12 with Education categories.


The book develops a new multimodal approach to classroom discourse where meanings arising from multiple forms of semiosis are considered. The approach is demonstrated through the analysis of discourse in mathematics classrooms. The approach includes a description of the curriculum, lesson genres and activity sequences, together with an analysis of the use of spoken and written language, mathematical symbolism and visual images in the classroom. The functions of the different forms of semiosis and the nature of intersemiotic transitions from verbal to written modes are described. The metaphorical nature of mathematics pedagogical discourse is demonstrated. In addition, the significance of the material reality of the classroom (for example, the architecture, layout and the use of space) and the functions of the body (for example, gaze, stance and proxemics) for the teaching and learning of mathematics are considered. The theoretical framework is demonstrated through discourse analysis of mathematics lessons which are differentiated according to social class, gender and school type. The analyses of the classroom practices in each lesson are contextualized with respect to the results the students achieve in the mathematics examinations for admission to university. These findings are related to educational policy and the funding and support for the public/private schools sectors. Finally, the implications of a multimodal approach to discourse analysis for teaching and learning mathematics are summarized. The multimodal approach to pedagogy developed in this book is applicable to other curriculum areas.



The Mathematics In Our Hands


The Mathematics In Our Hands
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Author : Christina M Krause
language : en
Publisher: Springer
Release Date : 2016-01-08

The Mathematics In Our Hands written by Christina M Krause and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-08 with Education categories.


In her empirical study, Christina Krause investigates how gestures can contribute to epistemic processes in social interactions. She expands the traditional speech-based approach to analyzing social processes of constructing mathematical knowledge by employing a multimodal perspective. Adopting a semiotic approach, she takes into account two functions of gestures as signs used by the participants of the social interaction: the representational function concerns the ways in which gestures take part in referring to a mathematical object in processes of knowledge construction and the epistemic function relates to the ways in which they can contribute to the performance of collective epistemic actions. The results of this study reveal that gestures influence the epistemic process significantly more than previously thought and indicate factors underlying this influence.



Metaheuristics For Finding Multiple Solutions


Metaheuristics For Finding Multiple Solutions
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Author : Mike Preuss
language : en
Publisher: Springer Nature
Release Date : 2021-10-22

Metaheuristics For Finding Multiple Solutions written by Mike Preuss and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-22 with Computers categories.


This book presents the latest trends and developments in multimodal optimization and niching techniques. Most existing optimization methods are designed for locating a single global solution. However, in real-world settings, many problems are “multimodal” by nature, i.e., multiple satisfactory solutions exist. It may be desirable to locate several such solutions before deciding which one to use. Multimodal optimization has been the subject of intense study in the field of population-based meta-heuristic algorithms, e.g., evolutionary algorithms (EAs), for the past few decades. These multimodal optimization techniques are commonly referred to as “niching” methods, because of the nature-inspired “niching” effect that is induced to the solution population targeting at multiple optima. Many niching methods have been developed in the EA community. Some classic examples include crowding, fitness sharing, clearing, derating, restricted tournament selection, speciation, etc. Nevertheless, applying these niching methods to real-world multimodal problems often encounters significant challenges. To facilitate the advance of niching methods in facing these challenges, this edited book highlights the latest developments in niching methods. The included chapters touch on algorithmic improvements and developments, representation, and visualization issues, as well as new research directions, such as preference incorporation in decision making and new application areas. This edited book is a first of this kind specifically on the topic of niching techniques. This book will serve as a valuable reference book both for researchers and practitioners. Although chapters are written in a mutually independent way, Chapter 1 will help novice readers get an overview of the field. It describes the development of the field and its current state and provides a comparative analysis of the IEEE CEC and ACM GECCO niching competitions of recent years, followed by a collection of open research questions and possible research directions that may be tackled in the future.



Perspectives On Multimodality


Perspectives On Multimodality
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Author : Eija Ventola
language : en
Publisher: John Benjamins Publishing
Release Date : 2004-01-01

Perspectives On Multimodality written by Eija Ventola and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Language Arts & Disciplines categories.


This volume sign posts several paths of multimodality research and theory-building today. The chapters represent a cross-section of current perspectives on multimodal discourse with a special focus on theoretical and methodological issues (mode hierarchies, modelling semiotic resources as multiple semiotic systems, multimodal corpus annotation). In addition, it discusses a wide range of applications for multimodal description in fields like mathematics, entertainment, education, museum design, medicine and translation.



Multimodality In Writing


Multimodality In Writing
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Author : Arlene Archer
language : en
Publisher: BRILL
Release Date : 2015-06-29

Multimodality In Writing written by Arlene Archer and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-29 with Language Arts & Disciplines categories.


Multimodality in Writing attempts to generate and apply new theories, disciplines and methods to account for semiotic processes in texts and during text production. It thus showcases new directions in multimodal research and theorizing writing practices from a multimodal perspective. It explores texts, producers of texts, and readers of texts. It also focuses on teaching multimodal text production and writing pedagogy from different domains and disciplines, such as rhetoric and writing composition, architecture, mathematics, film-making, science and the newsroom. Multimodality in Writing explores the kinds of methodological approaches that can augment social semiotic approaches to analyzing and teaching writing, including rhetoric, Systemic Functional Linguistics, ethnographic approaches, and genre pedagogy. Much of the research shows how the regularities of modes and interest of sign makers are socially shaped to realize convention. Because of this, the approaches are strongly underpinned by social and cultural theories of representation and communication.