GKM theory of rationally smooth group embeddings

This thesis is concerned with the study of rationally smooth group embeddings. We prove that the equivariant cohomology of any of these compactificationscan be described, via GKM-theory, as certain ring of piecewise polynomial functions. Moreover, building on previous work of Renner, we show that the embeddings under consideration come equipped with both a canonical decomposition into rational cells and a filtration by equivariantly formal closed subvarieties.The techniques developed in this monograph supply a method for constructing freemodule generators on the equivariant cohomology of Q-filtrable GKM-varieties.Our findings extend the earlier work of Arabia and Guillemin-Kogan on equivariant characteristic classes.In the last two chapters of this work, inspired by the papers of Brion and Renner, we compute explicitly the GKM characters associated to any group embedding. Our major result describes the equivariant cohomology of rationally smooth embeddings in terms of roots, idempotents, and underlying monoid data

Jordan Algebras and Lie Semigroups.

For a Euclidean Jordan algebra V with the corresponding symmetric cone $\Omega$, we consider the semigroup \Gamma\sb{\Omega} of elements in the automorphism group G(T\sb{\Omega}) of the tube domain $V$ + $i\Omega$ which can be extended to $\Omega$ and maps $\Omega$ into itself. A study of this semigroup was first worked out by Koufany in connection to Jordan algebra theory and Lie theory of semigroups. In this work we give a new proof of Koufany\u27s results and generalize up to infinite dimensional Jordan algebras, so called $JB$-algebras. One of the nice examples of the semigroup \Gamma\sb{\Omega} is from the Jordan algebra Sym(n,\IR) of symmetric matrices. However, V\sb{\sigma} the set of all self-adjoint operators on \IR\sp{n} with respect to a non-degenerated symmetric bilinear form $\sigma$, is a non-Euclidean Jordan algebra with a cone \Omega\sb{\sigma} which is isomorphic to $\Omega$ of the symmetric cone of Sym(n,\IR). We get an isomorphism of the automorphism groups between two tube domains which also induces an isomorphism between two Lie semigroups. The Lorentzian cone, which is one of the irreducible symmetric cones, is an essential tool in the study of semigroups in Mobius and Lorentzian geometry. J. D. Lawson studied the Mobius and Lorentzian semigroups with an Ol\u27shanskii decomposition even in the infinite dimensional cases. We study these semigroups via a Jordan algebra theory

Emotion Recognition from Speech with Acoustic, Non-Linear and Wavelet-based Features Extracted in Different Acoustic Conditions

ABSTRACT: In the last years, there has a great progress in automatic speech recognition. The challenge now it is not only recognize the semantic content in the speech but also the called "paralinguistic" aspects of the speech, including the emotions, and the personality of the speaker. This research work aims in the development of a methodology for the automatic emotion recognition from speech signals in non-controlled noise conditions. For that purpose, different sets of acoustic, non-linear, and wavelet based features are used to characterize emotions in different databases created for such purpose

Why Do Authors Produce Textual Variation on Purpose? Or, Why Publish a Text That Is Still Unfolding?

Post-publication revision causes problems for both an Anglo-American editorial tradition and genetic critics. Discussion of variance in Shakespeare, Henry James, T. S. Eliot, and Sylvia Plath shows that publication is only as much of an event as an author makes it. It need not entail a neat breach between genesis and transmission. Using Wittgenstein’s notion of “seeing as”, I propose that “in process” (still being composed) and “finished” (ready for transmission) are aspects of textual apprehension rather than descriptions of any individual documentary stage. Publishing a genetic dossier fixes its contour, just as post-publication revision unfixes a circulating work

Fuzzy Natural Logic in IFSA-EUSFLAT 2021

The present book contains five papers accepted and published in the Special Issue, “Fuzzy Natural Logic in IFSA-EUSFLAT 2021”, of the journal Mathematics (MDPI). These papers are extended versions of the contributions presented in the conference “The 19th World Congress of the International Fuzzy Systems Association and the 12th Conference of the European Society for Fuzzy Logic and Technology jointly with the AGOP, IJCRS, and FQAS conferences”, which took place in Bratislava (Slovakia) from September 19 to September 24, 2021. Fuzzy Natural Logic (FNL) is a system of mathematical fuzzy logic theories that enables us to model natural language terms and rules while accounting for their inherent vagueness and allows us to reason and argue using the tools developed in them. FNL includes, among others, the theory of evaluative linguistic expressions (e.g., small, very large, etc.), the theory of fuzzy and intermediate quantifiers (e.g., most, few, many, etc.), and the theory of fuzzy/linguistic IF–THEN rules and logical inference. The papers in this Special Issue use the various aspects and concepts of FNL mentioned above and apply them to a wide range of problems both theoretically and practically oriented. This book will be of interest for researchers working in the areas of fuzzy logic, applied linguistics, generalized quantifiers, and their applications

A computational analysis of hedging in English to Polish translations of film subtitles.

openThe thesis presents a new pragmatic annotation scheme for the phenomenon of hedging which allows for a computational analysis of its occurrences in English and Polish film subtitles. First and foremost, the definition of the concept of hedging is provided, as well as an overview of its evolution within linguistic studies and its several classifications. The general notions concerning linguistic annotation and parallel corpora are discussed in the following sections, along with some references to the relevance of a computational analysis to other fields of study, such as computer-assisted translation. The second chapter introduces the Opensubtitles and the ParTy corpora and explains the selection of texts which, having been converted into CONLL-U format, are subsequently the object of a quantitative and contrastive analysis of various occurrences of hedges in English original material and its Polish translation. Thus assembled evidence constitutes the basis for the development of a pragmatic annotation scheme specific to hedges. Lastly, the application of the aforementioned scheme to the chosen texts allows for a more thorough analysis and discussion of certain cases presenting the phenomenon in question. The thesis ends with some considerations on the value of the annotation scheme for future study.The thesis presents a new pragmatic annotation scheme for the phenomenon of hedging which allows for a computational analysis of its occurrences in English and Polish film subtitles. First and foremost, the definition of the concept of hedging is provided, as well as an overview of its evolution within linguistic studies and its several classifications. The general notions concerning linguistic annotation and parallel corpora are discussed in the following sections, along with some references to the relevance of a computational analysis to other fields of study, such as computer-assisted translation. The second chapter introduces the Opensubtitles and the ParTy corpora and explains the selection of texts which, having been converted into CONLL-U format, are subsequently the object of a quantitative and contrastive analysis of various occurrences of hedges in English original material and its Polish translation. Thus assembled evidence constitutes the basis for the development of a pragmatic annotation scheme specific to hedges. Lastly, the application of the aforementioned scheme to the chosen texts allows for a more thorough analysis and discussion of certain cases presenting the phenomenon in question. The thesis ends with some considerations on the value of the annotation scheme for future study

Aspects of Linguistic Variation

This volume brings together papers on linguistic variation. It takes a broad perspective, covering not only crosslinguistic and diachronic but also intralinguistic and interspeaker variation, and examines phenomena ranging from negation and TAM over connectives and the lexicon to definite articles and comparative concepts in well- and lesser-known languages. The collection thus contributes to our understanding of variation in general

Investigating Teachers' Experiences with the History of Logarithms: A Collection of Five Case Studies

This study investigated five secondary mathematics teachers' efforts to study and use the history of a specific topic. A professional development experience, constructed to reflect the features of effective professional development identified by Garet, Porter, Desimone, Birman, and Yoon (2001) and Smith (2001), was designed to engage teachers in the study of the historical development of logarithms. Modifications of activities found in the Exponentials and Logarithms module (Anderson, Berg, Sebrell, & Smith, 2004), as well as various print and electronic resources, were used during the professional development. Two primary research questions guided the study. First, the study addressed how teachers with different background knowledge and experiences responded to the professional development. Second, the study investigated how teachers' background variables and experience with the professional development influenced the teachers' personal mathematical knowledge and instructional practice. Exploratory case study methodology was used to describe the experiences of five participants; four teaching in a public high school and one teaching in a private day school. Data sources used in the case study included teacher background, attitudes, and content knowledge instruments; participant observation during all professional development sessions and classroom instruction (during a unit on logarithms); and semi-structured interviews. The study found that engagement during the professional development sessions was stronger on the part of participants who reported high participation in previous professional learning activities and who were able to consider alternatives for dealing with the barriers to incorporating the history of logarithms. Similarly, the extent to which participants incorporated the history of logarithms during their instruction was directly related to the extent of their engagement during the professional development. Lastly, the two teachers with the strongest professional development engagement and implementation of the history of logarithms exhibited the most improvement in content knowledge. The study conveyed important information for what Barbin (2000) indicated is essential for qualitatively analyzing "the changes that can occur when history has a place in the teaching of mathematics" (p. 66)