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Artykuły w czasopismach na temat "ADE singularitie":
1
Wall, C. T. C. "Quartic curves in characteristic 2". Mathematical Proceedings of the Cambridge Philosophical Society 117, nr 3 (maj 1995): 393–414. http://dx.doi.org/10.1017/s0305004100073254.
Simple singularities in positive characteristicSimple singularities in positive characteristic have been discussed by many authors, and the article [5] in particular establishes the subject on a firm footing. In it a simple, or ‘ADE’ singularity is defined by a list of normal forms and it is shown that the following conditions on a singularity are equivalent: (i) it is simple, (ii) it has finite deformation type, (iii) it has finite Cohen-Macaulay module type. Moreover, the normal forms for surface singularities coincide with the earlier list of Artin [1] and those for curves with the list of [9]: in those papers further characterizations were obtained.
2
Chen, Yunxia, i Naichung Conan Leung. "ADE Bundles over Surfaces with ADE Singularities". International Mathematics Research Notices 2014, nr 15 (12.04.2013): 4049–84. http://dx.doi.org/10.1093/imrn/rnt065.
Eguchi, Tohru, Nicholas P. Warner i Sung-Kil Yang. "ADE singularities and coset models". Nuclear Physics B 607, nr 1-2 (lipiec 2001): 3–37. http://dx.doi.org/10.1016/s0550-3213(01)00263-2.
PERRONI, FABIO. "CHEN–RUAN COHOMOLOGY OF ADE SINGULARITIES". International Journal of Mathematics 18, nr 09 (październik 2007): 1009–59. http://dx.doi.org/10.1142/s0129167x07004436.
We study Ruan's cohomological crepant resolution conjecture [41] for orbifolds with transversal ADE singularities. In the An-case, we compute both the Chen–Ruan cohomology ring [Formula: see text] and the quantum corrected cohomology ring H*(Z)(q1,…,qn). The former is achieved in general, the later up to some additional, technical assumptions. We construct an explicit isomorphism between [Formula: see text] and H*(Z)(-1) in the A1-case, verifying Ruan's conjecture. In the An-case, the family H*(Z)(q1,…,qn) is not defined for q1 = ⋯ = qn = -1. This implies that the conjecture should be slightly modified. We propose a new conjecture in the An-case (Conjecture 1.9). Finally, we prove Conjecture 1.9 in the A2-case by constructing an explicit isomorphism.
5
Curto, Carina. "Matrix model superpotentials and ADE singularities". Advances in Theoretical and Mathematical Physics 12, nr 2 (2008): 353–404. http://dx.doi.org/10.4310/atmp.2008.v12.n2.a4.
Casalaina-Martin, Sebastian, i Radu Laza. "Simultaneous semi-stable reduction for curves with ADE singularities". Transactions of the American Mathematical Society 365, nr 5 (15.10.2012): 2271–95. http://dx.doi.org/10.1090/s0002-9947-2012-05579-6.
Bakalov, Bojko, i Todor Milanov. "-constraints for the total descendant potential of a simple singularity". Compositio Mathematica 149, nr 5 (7.02.2013): 840–88. http://dx.doi.org/10.1112/s0010437x12000668.
AbstractSimple, or Kleinian, singularities are classified by Dynkin diagrams of type $ADE$. Let $\mathfrak {g}$ be the corresponding finite-dimensional Lie algebra, and $W$ its Weyl group. The set of $\mathfrak {g}$-invariants in the basic representation of the affine Kac–Moody algebra $\hat {\mathfrak {g}}$ is known as a $\mathcal {W}$-algebra and is a subalgebra of the Heisenberg vertex algebra $\mathcal {F}$. Using period integrals, we construct an analytic continuation of the twisted representation of $\mathcal {F}$. Our construction yields a global object, which may be called a $W$-twisted representation of $\mathcal {F}$. Our main result is that the total descendant potential of the singularity, introduced by Givental, is a highest-weight vector for the $\mathcal {W}$-algebra.
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BÖHM, JANKO, WOLFRAM DECKER i MATHIAS SCHULZE. "LOCAL ANALYSIS OF GRAUERT–REMMERT-TYPE NORMALIZATION ALGORITHMS". International Journal of Algebra and Computation 24, nr 01 (luty 2014): 69–94. http://dx.doi.org/10.1142/s0218196714500064.
Normalization is a fundamental ring-theoretic operation; geometrically it resolves singularities in codimension one. Existing algorithmic methods for computing the normalization rely on a common recipe: successively enlarge the given ring in form of an endomorphism ring of a certain (fractional) ideal until the process becomes stationary. While Vasconcelos' method uses the dual Jacobian ideal, Grauert–Remmert-type algorithms rely on so-called test ideals. For algebraic varieties, one can apply such normalization algorithms globally, locally, or formal analytically at all points of the variety. In this paper, we relate the number of iterations for global Grauert–Remmert-type normalization algorithms to that of its local descendants. We complement our results by a study of ADE singularities. All intermediate singularities occurring in the normalization process are determined explicitly. Besides ADE singularities the process yields simple space curve singularities from the list of Frühbis-Krüger.
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Fujita, Masato, i Masaru Kageyama. "On finiteness of prime cones over simple ADE-singularities of dimension one". Communications in Algebra 46, nr 9 (26.02.2018): 3986–95. http://dx.doi.org/10.1080/00927872.2018.1430808.
In Chapter 1 we collect some basic definitions on orbifolds, morphisms of orbifolds and orbifold vector bundles. In Chapter 3 we first review the definition of orbifold cohomology ring for a complex orbifold, then we state the cohomological crepant resolution conjecture as given by Ruan in [52]. In Chapter 4 we define orbifolds with transversal ADE-singularities, see Definition 4.2.5. Then we give a description of the twisted sectors in general.
Finally we specialize to orbifolds with transversal A_n-singularities and, under the technical assumption of trivial monodromy, we compute the orbifold cohomology ring. In Chapter 5 we study the crepant resolution. We first show
that any variety with transversal ADE-singularities Y has a unique crepant resolution p : Z --> Y, Proposition 5. 2 .1. Then we restrict our attention to the case of transversal An-singularities and trivial monodromy and we give an explicit description of the cohomology ring of Z. Chapter 6 contains the computations of the Gromov-Witten invariants of Z in the A_n case. We also give a description of the quantum corrected cohomology ring of Z. In Chapter
7 we prove Ruan's conjecture in the Ai case and, in the A2 case with minor modifications.
2
Hou, Yuhang [Verfasser], i Katrin [Akademischer Betreuer] Wendland. "Elliptic genera of ADE type singularities". Freiburg : Universität, 2021. http://d-nb.info/1228270201/34.
Stegmann, Ann-Kathrin [Verfasser]. "Cubic fourfolds with ADE singularities and K3 surfaces / Ann-Kathrin Stegmann". Hannover : Gottfried Wilhelm Leibniz Universität Hannover, 2020. http://d-nb.info/1211724042/34.
This research set out to develop a novel technique to decompose Electroencephalograph (EEG) signal into sets of constituent peaks in order to better describe the underlying nature of these signals. It began with the question; can a localised, single stimulation of sensory nervous tissue in the body be detected in the brain? Flash Visual Evoked Potential (VEP) tests were carried out on 3 participants by presenting a flash and recording the response in the occipital region of the cortex. By focussing on analysis techniques that retain a perspective across different domains � temporal (time), spectral (frequency/scale) and epoch (multiple events) � useful information was detected across multiple domains, which is not possible in single domain transform techniques. A comprehensive set of algorithms to decompose evoked potential data into sets of peaks was developed and tested using wavelet transform singularity detection methods. The set of extracted peaks then forms the basis for a subsequent clustering analysis which identifies sets of localised peaks that contribute the most towards the standard evoked response. The technique is quite novel as no closely similar work in research has been identified. New and valuable insights into the nature of an evoked potential signal have been identified. Although the number of stimuli required to calculate an Evoked Potential response has not been reduced, the amount of data contributing to this response has been effectively reduced by 75%. Therefore better examination of a small subset of the evoked potential data is possible. Furthermore, the response has been meaningfully decomposed into a small number (circa 20) of constituent peaksets that are defined in terms of the peak shape (time location, peak width and peak height) and number of peaks within the peak set. The question of why some evoked potential components appear more strongly than others is probed by this technique. Delineation between individual peak sizes and how often they occur is for the first time possible and this representation helps to provide an understanding of how particular evoked potentials components are made up. A major advantage of this techniques is the there are no pre-conditions, constraints or limitations. These techniques are highly relevant to all evoked potential modalities and other brain signal response applications � such as in brain-computer interface applications. Overall, a novel evoked potential technique has been described and tested. The results provide new insights into the nature of evoked potential peaks with potential application across various evoked potential modalities.
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Ashley, Michael John Siew Leung, i ashley@gravity psu edu. "Singularity theorems and the abstract boundary construction". The Australian National University. Faculty of Science, 2002. http://thesis.anu.edu.au./public/adt-ANU20050209.165310.
The abstract boundary construction of Scott and Szekeres has proven a practical
classification scheme for boundary points of pseudo-Riemannian manifolds. It
has also proved its utility in problems associated with the re-embedding of exact
solutions containing directional singularities in space-time. Moreover it provides
a model for singularities in space-time - essential singularities. However the literature
has been devoid of abstract boundary results which have results of direct
physical applicability.¶
This thesis presents several theorems on the existence of essential singularities
in space-time and on how the abstract boundary allows definition of optimal em-
beddings for depicting space-time. Firstly, a review of other boundary constructions
for space-time is made with particular emphasis on the deficiencies they possess for
describing singularities. The abstract boundary construction is then pedagogically
defined and an overview of previous research provided.¶
We prove that strongly causal, maximally extended space-times possess essential
singularities if and only if they possess incomplete causal geodesics. This result
creates a link between the Hawking-Penrose incompleteness theorems and the existence of essential singularities. Using this result again together with the work of
Beem on the stability of geodesic incompleteness it is possible to prove the stability
of existence for essential singularities.¶
Invariant topological contact properties of abstract boundary points are presented
for the first time and used to define partial cross sections, which are an
generalization of the notion of embedding for boundary points. Partial cross sections
are then used to define a model for an optimal embedding of space-time.¶
Finally we end with a presentation of the current research into the relationship
between curvature singularities and the abstract boundary. This work proposes
that the abstract boundary may provide the correct framework to prove curvature
singularity theorems for General Relativity. This exciting development would culminate over 30 years of research into the physical conditions required for curvature singularities in space-time.
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Frey, Ronald Michael. "The tyranny of singularity : masculinity as ideology and "hegemising" discourse /". [St. Lucia, Qld.], 2004. http://adt.library.uq.edu.au/public/adt-QU20050114.114216/index.html.
Wang, Yi, i alice yi wang@gmail com. "Ridge Orientation Modeling and Feature Analysis for Fingerprint Identification". RMIT University. Computer Science and Information Technology, 2009. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20091009.152317.
This thesis systematically derives an innovative approach, called FOMFE, for fingerprint ridge orientation modeling based on 2D Fourier expansions, and explores possible applications of FOMFE to various aspects of a fingerprint identification system. Compared with existing proposals, FOMFE does not require prior knowledge of the landmark singular points (SP) at any stage of the modeling process. This salient feature makes it immune from false SP detections and robust in terms of modeling ridge topology patterns from different typological classes. The thesis provides the motivation of this work, thoroughly reviews the relevant literature, and carefully lays out the theoretical basis of the proposed modeling approach. This is followed by a detailed exposition of how FOMFE can benefit fingerprint feature analysis including ridge orientation estimation, singularity analysis, global feature characterization for a wide variety of fingerprint categories, and partial fin gerprint identification. The proposed methods are based on the insightful use of theory from areas such as Fourier analysis of nonlinear dynamic systems, analytical operators from differential calculus in vector fields, and fluid dynamics. The thesis has conducted extensive experimental evaluation of the proposed methods on benchmark data sets, and drawn conclusions about strengths and limitations of these new techniques in comparison with state-of-the-art approaches. FOMFE and the resulting model-based methods can significantly improve the computational efficiency and reliability of fingerprint identification systems, which is important for indexing and matching fingerprints at a large scale.
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Li, Boning. "Extending the scaled boundary finite-element method to wave diffraction problems". University of Western Australia. School of Civil and Resource Engineering, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0173.
[Truncated abstract] The study reported in this thesis extends the scaled boundary finite-element method to firstorder and second-order wave diffraction problems. The scaled boundary finite-element method is a newly developed semi-analytical technique to solve systems of partial differential equations. It works by employing a special local coordinate system, called scaled boundary coordinate system, to define the computational field, and then weakening the partial differential equation in the circumferential direction with the standard finite elements whilst keeping the equation strong in the radial direction, finally analytically solving the resulting system of equations, termed the scaled boundary finite-element equation. This unique feature of the scaled boundary finite-element method enables it to combine many of advantages of the finite-element method and the boundaryelement method with the features of its own. ... In this thesis, both first-order and second-order solutions of wave diffraction problems are presented in the context of scaled boundary finite-element analysis. In the first-order wave diffraction analysis, the boundary-value problems governed by the Laplace equation or by the Helmholtz equation are considered. The solution methods for bounded domains and unbounded domains are described in detail. The solution process is implemented and validated by practical numerical examples. The numerical examples examined include well benchmarked problems such as wave reflection and transmission by a single horizontal structure and by two structures with a small gap, wave radiation induced by oscillating bodies in heave, sway and roll motions, wave diffraction by vertical structures with circular, elliptical, rectangular cross sections and harbour oscillation problems. The numerical results are compared with the available analytical solutions, numerical solutions with other conventional numerical methods and experimental results to demonstrate the accuracy and efficiency of the scaled boundary finite-element method. The computed results show that the scaled boundary finite-element method is able to accurately model the singularity of velocity field near sharp corners and to satisfy the radiation condition with ease. It is worth nothing that the scaled boundary finite-element method is completely free of irregular frequency problem that the Green's function methods often suffer from. For the second-order wave diffraction problem, this thesis develops solution schemes for both monochromatic wave and bichromatic wave cases, based on the analytical expression of first-order solution in the radial direction. It is found that the scaled boundary finiteelement method can produce accurate results of second-order wave loads, due to its high accuracy in calculating the first-order velocity field.
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Brinkmann, Daniel. "Hilbert-Kunz functions of surface rings of type ADE". Doctoral thesis, 2013. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013082711496.
We compute the Hilbert-Kunz functions of two-dimensional rings of type ADE by using representations of their indecomposable, maximal
Cohen-Macaulay modules in terms of matrix factorizations, and as first syzygy modules of homogeneous ideals.
Książki na temat "ADE singularitie":
1
Bondestam, Maja, red. Exceptional Bodies in Early Modern Culture. NL Amsterdam: Amsterdam University Press, 2020. http://dx.doi.org/10.5117/9789463721745.
Drawing on a rich array of textual and visual primary sources, including medicine, satires, play scripts, dictionaries, natural philosophy, and texts on collecting wonders, this book provides a fresh perspective on monstrosity in early modern European culture. The essays explore how exceptional bodies challenged social, religious, sexual and natural structures and hierarchies in the sixteenth, seventeenth and early eighteenth centuries and contributed to its knowledge, moral and emotional repertoire. Prodigious births, maternal imagination, hermaphrodites, collections of extraordinary things, powerful women, disabilities, controversial exercise, shapeshifting phenomena and hybrids are examined in a period before all varieties and differences became normalized to a homogenous standard. The historicizing of exceptional bodies is central in the volume since it expands our understanding of early modern culture and deepens our knowledge of its specific ways of conceptualizing singularities, rare examples, paradoxes, rules and conventions in nature and society.
2
Baldi, Massimo, i Fabrizio Desideri, red. Paul Celan. Florence: Firenze University Press, 2008. http://dx.doi.org/10.36253/978-88-8453-792-8.
Poetry as a "philosophical frontier" is the concept focused in this book on the poetry of Paul Celan. It is not precipitate to consider that the peculiarity of Celan's poetry and its reception lies in the persistent and ongoing interest displayed by philosophical criticism. Adopting an inclusive formula that goes beyond the mere notion of a "philosophical space", Massimo Baldi and Fabrizio Desideri aim to bring together readings and interpretative theories that are significantly diverse, albeit marked by the common intention of focusing the radical singularity of Celan's writing. All the essays presented here effectively reveal an attention to that engagement inherent in the letter of the poetic dictate, in the pungency of its inscription, which we must respect and listen to if we wish to understand Celan.
3
Simmons, Keith. Revenge, II. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0009.
Chapter 9 begins by examining the impact of revenge paradoxes on contextual theories of truth, including those of Parsons, Burge, Barwise and Etchemendy, and Glanzberg. These theories are hierarchical, and so are subject to revenge paradoxes that, roughly speaking, quantify over all levels. But the singularity theory is not hierarchical, and so is not subject to this kind of revenge. This chapter argues that a use of ‘true’ (or ‘denotes’ or ‘extension’) in a given context applies everywhere except to its singularities, and what escapes its reach is captured by other uses of ‘true’ in other contexts. Moreover, any use of ‘true’ applies even to the truths of the singularity theory, since these theoretical truths are not identified as singularities. The chapter concludes that the singularity theory is not compromised by revenge paradoxes, and respects Tarski’s intuition that natural languages are universal, while preserving classical logic and semantics.
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Simmons, Keith. Singularities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0003.
Chapter 3 turns to the second main claim of the proposed solution: our semantic predicates are significant everywhere except for certain singularities, where their application breaks down. A particular use of ‘denotes’, for example, is minimally restricted, applying to all denoting expressions except its singularities. Similarly with ‘extension’ and ‘true’. The singularity solution is contrasted with hierarchical solutions: the singularity solution does not stratify the semantic predicates into levels. The chapter identifies two kinds of semantic networks associated with the paradoxes-loops and chains-and prepares the ground for a representation of these semantic networks via certain kinds of trees. The upshot of the chapter is that the extensions of our semantic predicates shift with certain changes of context, but these shifts are kept to a minimum.
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Simmons, Keith. Identifying Singularities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0004.
Chapter 4 lays out the central notions that allow us to identify the singularities of a given occurrence (in ordinary English) of ‘denotes’, ‘extension’, or ‘true’. Key notions are those of the primary representation of an expression, and the primary tree of an expression. The primary tree displays the semantic network that the expression generates. The notions of pathology and singularity are then defined in terms of the notion of primary tree. The chapter argues that the singularity account respects Tarski’s intuition that natural languages are universal. The chapter concludes with a comparison of the singularity treatment of the simple paradox of denotation (introduced in Chapter 2) with those of Field and Scharp. Chapter 4 anticipates the fully formal singularity theory to be presented in Chapter 6.
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Simmons, Keith. Semantic Singularities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.001.0001.
This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by the concepts of reference or denotation, predicate extension, and truth. The solution makes two main claims. The first is that our semantic expressions ‘denotes’, ‘extension’, and ‘true’ are context-sensitive. The second, inspired by a brief, tantalizing remark of Gödel’s, is that these expressions are significant everywhere except for certain singularities, in analogy with division by zero. A formal theory of singularities is presented and applied to a wide variety of versions of the definability paradoxes, Russell’s paradox, and the Liar paradox. The book argues that the singularity theory satisfies the following desiderata: it recognizes that the proper setting of the semantic paradoxes is natural language, not regimented formal languages; it minimizes any revision to our semantic concepts; it respects as far as possible Tarski’s intuition that natural languages are universal; it responds adequately to the threat of revenge paradoxes; and it preserves classical logic and semantics. The book examines the consequences of the singularity theory for deflationary views of our semantic concepts, and concludes that if we accept the singularity theory, we must reject deflationism.
7
Rajeev, S. G. Singularities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0012.
The initial value problem of the incompressible Navier–Stokes equations is explained. Leray’s classic study of it (using Picard iteration) is simplified and described in the language of physics. The ideas of Lebesgue and Sobolev norms are explained. The L2 norm being the energy, cannot increase. This gives sufficient control to establish existence, regularity and uniqueness in two-dimensional flow. The L3 norm is not guaranteed to decrease, so this strategy fails in three dimensions. Leray’s proof of regularity for a finite time is outlined. His attempts to construct a scale-invariant singular solution, and modern work showing this is impossible, are then explained. The physical consequences of a negative answer to the regularity of Navier–Stokes solutions are explained. This chapter is meant as an introduction, for physicists, to a difficult field of analysis.
8
Simmons, Keith. A General Theory of Singularities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0006.
Chapter 6 presents the singularity theory in formal detail. The theory is pitched at a sufficiently general level to handle in a unified way the notions of denotation, extension, and truth. The central notions of semantic pathology and singularity are defined, and a procedure for determining the semantic value of a pathological token is provided. The chapter gives precise expression to the idea that our semantic expressions are significant everywhere except for certain singularities. Key ingredients of the formal theory include the notions of primary representation, primary tree, and determination tree. Paradoxical cases from previous chapters are used throughout the chapter to illustrate the formal definitions.
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Boden, Margaret A. 7. The Singularity. Oxford University Press, 2018. http://dx.doi.org/10.1093/actrade/9780199602919.003.0007.
AI’s future has been hyped since its inception. Today, the prime example is the Singularity: the proposed point in time at which machines become more intelligent than humans. First, AI would reach human-level intelligence. Soon afterwards, AGI would morph into ASI—‘S’ for superhuman, with systems intelligent enough to copy themselves to outnumber us and improve themselves to out-think us. The most important problems and decisions would then be addressed by computers. ‘The Singularity’ explains that this notion is hugely contentious. It considers competing predictions, concluding that even if the probability of the Singularity is extremely small, the possible consequences are so grave that we should start taking precautions now.
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Simmons, Keith. Paradoxes of Definability, Russell’s Paradox, the Liar. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0005.
Chapter 5 moves beyond the simple paradoxes discussed in Chapters 2-4. The chapter applies the singularity approach to the traditional paradoxes of definability (or denotation), associated with Berry, Richard, and König. The chapter goes on to argue that there are two settings for Russell’s paradox, one in terms of the mathematical notion of set, and the other in terms of the logico-semantic notion of extension. The chapter then applies the singularity approach to Russell’s paradox for extensions. The chapter moves on to the case of truth, and applies the singularity approach to various versions of the Liar paradox, paying particular attention to the so-called strengthened Liar.
Lisboa, Inês, i João Teodósio. "Executive Women and Firm Economic Value". W Advances in Finance, Accounting, and Economics, 345–61. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7596-3.ch017.
This study analyses the relationship between gender diversity on the board of directors' executive roles and the firm economic value. Based on a sample of Portuguese non-financial listed firms, between 2010 and 2018, results show that executive female contribute to decrease the firm economic value-added, and CEO gender diversity to decrease market value added, while no impact is found to traditional performance measures. Since the presence of women on the board of Portuguese firms is still scarce, female presence is not seen as relevant to add value to firms. These results are pioneer since previous studies found no impact of female presence on boards on value added measures. Moreover, findings show the relevance of value-added measures to analyze performance and singularities compared to profitability measures.
2
Pawlowsky-Glahn, Vera, i Richardo A. Olea. "Introduction". W Geostatistical Analysis of Compositional Data. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780195171662.003.0007.
Geological data, notably geochemical data, often take the form of a regionalized composition. The concept of regionalized composition combines the concepts of composition and coregionalization. A composition, also known in the literature as a closed array (Chayes 1962), is a random vector whose components add up to a constant. A coregionalization is a set of two or more regionalized variables defined over the same spatial domain, which is modeled as a realization of a vector random function. Here the term regionalized composition is used both for the vector random function used to model a composition and for the realization that we can observe. A regionalized composition can be, for example, a heavy-mineral suite along a river valley. The minerals are quantitatively determined through frequency counts and represented as percent-proportions of the entire heavy-mineral occurrence. Another example is the set of grades in a lead-copper-zinc deposit. In this instance, all components of each specimen are not quantitatively recorded and the grades are also not expressed as proportions of the whole of the measured components: only a small fraction of the composition in ppm is accounted for in each specimen. The problem with the statistical analysis of compositions has been stated historically in terms of correlations: the covariances are subject to essential nonstochastic controls, i.e., distortions which are due to the constant-sum constraint. These numerically induced covariances and correlations arise also with regionalized compositions and are called spurious spatial correlations. They falsify the picture of the spatial covariance structure and can lead to misinterpretations. This problem arises not only when the whole regionalized composition is analyzed, but also when interest lies only in a subvector. A second problem, singularity of the covariance matrix of a composition, has generally been considered only from a numerical point of view. Singularity is a direct consequence of the constant-sum constraint and, as in other multivariate methods, it rules out the use of estimation techniques such as cokriging of all components. Numerically the problem can be tackled either by taking generalized inverses or, equivalently, leaving one component out to avoid singularity of the matrices of coefficients.
3
"Singularität und Typik – Epische Planspiele zwischen Adel und Bürgertum in Theodor Fontanes Effi Briest (1894/95)". W Deutschsprachige Romane der klassischen Moderne, redaktor Matthias Luserke-Jaqui. Berlin, New York: Walter de Gruyter, 2008. http://dx.doi.org/10.1515/9783110205992.1.
Streszczenia konferencji na temat "ADE singularitie":
1
Bátorová, Martina, Miroslava Valíková i Pavel Chalmovianský. "Desingularization of ADE Singularities via Deformation". W Spring Conference. New York, New York, USA: ACM Press, 2013. http://dx.doi.org/10.1145/2508244.2508249.
Yin, Wan-Lee. "Anisotropic Elasticity and Multi-Material Singularities". W ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/ad-23761.
Abstract Multi-material wedges associated with convergence of geometrical and material discontinuity generally show singular stress fields. Under a temperature load, the different sectors of the wedge experience incompatible thermal expansions. Jumps of the tangential thermal strains across the various radial interfaces of the wedge may be compensated by a suitable particular solution. The remote boundary condition are then taken care of by combining the particular solution with various eigensolutions of the wedge. In this work, a general scheme is developed for constructing particular solutions of arbitrary multi-material wedges under uniform temperature loads. These closed-form particular solutions generally contain terms with logarithmic dependence on the radial coordinate r. The solution scheme also yields particular solutions when the loading on the multi-material wedge is a uniform strain ϵz in the out-of plane direction.
3
Lee, Joonho, i Jongeun Choi. "Stabilization of Inverted Pendulum on a Cart in the Presence of Uncertainties". W ASME 2015 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/dscc2015-9975.
This paper presents an output feedback control design to stabilize the inverted pendulum at the upright equilibrium as an extension of our previous work [1]. Compared to our previous work, we add one more time scale between a pendulum angle and angular velocity to reduce a traveled distance of the cart. State feedback control is designed to enable the pendulum to pass through input singularity configurations. Extended High-Gain Observers are used to estimate velocity and acceleration terms while dynamic inversion utilizes the estimates to deal with input coefficient uncertainties and singularity configurations. The proposed control is verified through numerical simulations.
4
Israilov, S. V., A. L. Dzhabrailov i H. L. Gagaeva. "On the oscillation of solutions of ordinary differential equations of the 2nd order, with points of singularities generating redefinition of boundary conditions". W I INTERNATIONAL CONFERENCE ASE-I - 2021: APPLIED SCIENCE AND ENGINEERING: ASE-I - 2021. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0075380.
KIM, JOO-WOO, i HIE-YOUNG JUNG. "CORNER STRESS SINGULARITY EFFECTS ON THE VIBRATION OF SKEW PLATES HAVING V-NOTCHES OR SHARP CRACKS". W Proceedings of the International Conference on ANDE 2007. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812793034_0115.
Sternberg, Oren, i Alex Stone. "Exploitation of the diffraction nulls and phase singularities as a potential encryption add-on function for dynamic coded apertures". W SPIE Optical Engineering + Applications, redaktorzy Stanley Rogers, David P. Casasent, Jean J. Dolne, Thomas J. Karr i Victor L. Gamiz. SPIE, 2010. http://dx.doi.org/10.1117/12.862094.
Wasfy, Tamer. "Modeling Spatial Rigid Multibody Systems Using an Explicit-Time Integration Finite Element Solver and a Penalty Formulation". W ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57352.
A new technique for modeling rigid bodies undergoing spatial motion using an explicit time-integration finite element code is presented. The key elements of the technique are: (a) use of the total rotation matrix relative to the inertial frame to measure the rotation of the rigid bodies; (b) time-integration of the rotational equations of motion in a body fixed (material) frame, with the resulting incremental rotations added to the total rotation matrix; (c) penalty formulation for creating connection points (virtual nodes which do not add extra degrees of freedom) on the rigid-body where joints can be placed. The use of the rotation matrix along with incremental rotation updates circumvents the problem of singularities associated with other types of three and four parameter rotation measures. Benchmark rigid multibody dynamics problems are solved to demonstrate the accuracy of the present technique.
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Rybus, T., i K. Seweryn. "Manipulator trajectories during orbital servicing mission: numerical simulations and experiments on microgravity simulator". W Progress in Flight Dynamics, Guidance, Navigation, and Control – Volume 10, redaktorzy C. Vallet, D. Choukroun, C. Philippe, A. Nebylov i M. Ganet. Les Ulis, France: EDP Sciences, 2018. http://dx.doi.org/10.1051/eucass/201810239.
It is considered to use a manipulator-equipped satellite for performing On-Orbit Servicing (OOS) or Active Debris Removal (ADR) missions. In this paper, several possible approaches are reviewed for end-effector (EE) trajectory planning in the Cartesian space, such as application of the Bézier curves for singularity avoidance and method for trajectory optimization. The results of numerical simulations for a satellite equipped with a 7 degree-of-freedom (DoF) manipulator and results of experiments performed on a planar air-bearing microgravity simulator for a simplified two-dimensional (2D) case with a 2-DoF manipulator are presented. Differences between the free-floating case and the case where Attitude and Orbit Control Systems (AOCS) keep constant position and orientation of the satellite are also shown.
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Kounadis, Anthony N. "Dynamic Buckling of 1-DOF Autonomous Potential Systems Under Tilted Cusp Catastrophe". W ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/ad-23755.
Abstract Nonlinear dynamic buckling of one-degree-of freedom (1-DOF) undamped systems under step loading (autonomous systems) of constant direction and infinite duration is discussed in detail using Catastrophe Theory. Attention is focused on the relation of static cuspoind catastrophes to the corresponding dynamic catastrophes for 1-DOF autonomous undamped systems by determining properly the dynamic singularity and bifurcational sets for such systems. Using local analysis one has to classify first the total potential energy (TPE) function of the system into one of the elementary Thom’s catastrophes by defining the corresponding control (unfolding) parameters. Subsequently, using global analyses one can readily obtain exact results for the dynamic buckling loads (DBLs) and their imperfection sensitivity of systems subjected to dynamic dual cusp and tilted cusp catastrophes. It was found that the maximum DBL of the dynamic tilted cusp catastrophe corresponds to a limit point lying in the vicinity of the hysteresis point (related to the static tilted cusp catastrophe). Numerical examples illustrate the methodology proposed herein.
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Inaltekin, Hazer, i Stephen B. Wicker. "The Behavior of Unbounded Path-loss Models and the Effect of Singularity on Computed Network Interference". W 2007 4th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks. IEEE, 2007. http://dx.doi.org/10.1109/sahcn.2007.4292855.
Raporty organizacyjne na temat "ADE singularitie":
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Nordhaus, William. Are We Approaching an Economic Singularity? Information Technology and the Future of Economic Growth. Cambridge, MA: National Bureau of Economic Research, wrzesień 2015. http://dx.doi.org/10.3386/w21547.
Соловйов, Володимир Миколайович, i О. А. Сердюк. Мультифрактальний аналіз кризових явищ на фондових ринках. Видавець Ткачук О. В., 2015. http://dx.doi.org/10.31812/0564/1159.
The work carried out multifractal analysis of the crisis on the stock markets today. It is shown that in the case of time series analysis and complex networks that are obtained by their special converting multifractal analysis indicates a marked increase in the complexity of the system during the crisis. This is evident through the expansion of singularity and growth collective and synchronization modes.
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Derbentsev, V., A. Ganchuk i Володимир Миколайович Соловйов. Cross correlations and multifractal properties of Ukraine stock market. Politecnico di Torino, 2006. http://dx.doi.org/10.31812/0564/1117.
Recently the statistical characterizations of financial markets based on physics concepts and methods attract considerable attentions. The correlation matrix formalism and concept of multifractality are used to study temporal aspects of the Ukraine Stock Market evolution. Random matrix theory (RMT) is carried out using daily returns of 431 stocks extracted from database time series of prices the First Stock Trade System index (www.kinto.com) for the ten-year period 1997-2006. We find that a majority of the eigenvalues of C fall within the RMT bounds for the eigenvalues of random correlation matrices. We test the eigenvalues of C within the RMT bound for universal properties of random matrices and find good agreement with the results for the Gaussian orthogonal ensemble of random matrices—implying a large degree of randomness in the measured cross-correlation coefficients. Further, we find that the distribution of eigenvector components for the eigenvectors corresponding to the eigenvalues outside the RMT bound display systematic deviations from the RMT prediction. We analyze the components of the deviating eigenvectors and find that the largest eigenvalue corresponds to an influence common to all stocks. Our analysis of the remaining deviating eigenvectors shows distinct groups, whose identities correspond to conventionally identified business sectors. Comparison with the Mantegna minimum spanning trees method gives a satisfactory consent. The found out the pseudoeffects related to the artificial unchanging areas of price series come into question We used two possible procedures of analyzing multifractal properties of a time series. The first one uses the continuous wavelet transform and extracts scaling exponents from the wavelet transform amplitudes over all scales. The second method is the multifractal version of the detrended fluctuation analysis method (MF-DFA). The multifractality of a time series we analysed by means of the difference of values singularity stregth (or Holder exponent) ®max and ®min as a suitable way to characterise multifractality. Singularity spectrum calculated from daily returns using a sliding 250 day time window in discrete steps of 1. . . 10 days. We discovered that changes in the multifractal spectrum display distinctive pattern around significant “drawdowns”. Finally, we discuss applications to the construction of crushes precursors at the financial markets.
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Nechaev, V., Володимир Миколайович Соловйов i A. Nagibas. Complex economic systems structural organization modelling. Politecnico di Torino, 2006. http://dx.doi.org/10.31812/0564/1118.
One of the well-known results of the theory of management is the fact, that multi-stage hierarchical organization of management is unstable. Hence, the ideas expressed in a number of works by Don Tapscott on advantages of network organization of businesses over vertically integrated ones is clear. While studying the basic tendencies of business organization in the conditions of globalization, computerization and internetization of the society and the results of the financial activities of the well-known companies, the authors arrive at the conclusion, that such companies, as IBM, Boeing, Mercedes-Benz and some others companies have not been engaged in their traditional business for a long time. Their partner networks performs this function instead of them. The companies themselves perform the function of system integrators. The Tapscott’s idea finds its confirmation within the framework of a new powerful direction of the development of the modern interdisciplinary science – the theory of the complex networks (CN) [2]. CN-s are multifractal objects, the loss of multifractality being the indicator of the system transition from more complex state into more simple state. We tested the multifractal properties of the data using the wavelet transform modulus maxima approach in order to analyze scaling properties of our company. Comparative analysis of the singularity spectrumf(®), namely, the difference between maximum and minimum values of ® (∆ = ®max ¡ ®min) shows that IBM company is considerably more fractal in comparison with Apple Computer. Really, for it the value of ∆ is equal to 0.3, while for the vertically integrated company Apple it only makes 0.06 – 5 times less. The comparison of other companies shows that this dependence is of general character. Taking into consideration the fact that network organization of business has become dominant in the last 5-10 years, we carried out research for the selected companies in the earliest possible period of time which was determined by the availability of data in the Internet, or by historically later beginning of stock trade of computer companies. A singularity spectrum of the first group of companies turned out to be considerably narrower, or shifted toward the smaller values of ® in the pre-network period. The latter means that dynamic series were antipersistant. That is, these companies‘ management was rigidly controlled while the impact of market mechanisms was minimized. In the second group of companies if even the situation did changed it did not change for the better. In addition, we discuss applications to the construction of portfolios of stock that have a stable ratio of risk to return.
