Relevant bibliographies by topics / Generalised Cantor Set

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Generalised Cantor Set'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Generalised Cantor Set"

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OLSON, ERIC J., JAMES C. ROBINSON, and NICHOLAS SHARPLES. "Generalised Cantor sets and the dimension of products." Mathematical Proceedings of the Cambridge Philosophical Society 160, no. 1 (2015): 51–75. http://dx.doi.org/10.1017/s0305004115000584.

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AbstractIn this paper we consider the relationship between the Assouad and box-counting dimension and how both behave under the operation of taking products. We introduce the notion of ‘equi-homogeneity’ of a set, which requires a uniformity in the cardinality of local covers at all length-scales and at all points, and we show that a large class of homogeneous Moran sets have this property. We prove that the Assouad and box-counting dimensions coincide for sets that have equal upper and lower box-counting dimensions provided that the set ‘attains’ these dimensions (analogous to ‘s-sets’ when c
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SIMON, KÁROLY, and KRYSTAL TAYLOR. "Interior of sums of planar sets and curves." Mathematical Proceedings of the Cambridge Philosophical Society 168, no. 1 (2018): 119–48. http://dx.doi.org/10.1017/s0305004118000580.

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AbstractRecently, considerable attention has been given to the study of the arithmetic sum of two planar sets. We focus on understanding the interior (A + Γ)°, when Γ is a piecewise ${\mathcal C}^2$ curve and A ⊂ ℝ2. To begin, we give an example of a very large (full-measure, dense, Gδ) set A such that (A + S1)° = ∅, where S1 denotes the unit circle. This suggests that merely the size of A does not guarantee that (A + S1)° ≠ ∅. If, however, we assume that A is a kind of generalised product of two reasonably large sets, then (A + Γ)° ≠ ∅ whenever Γ has non-vanishing curvature. As a byproduct of
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MUKHAMEDOV, FARRUKH, and OTABEK KHAKIMOV. "ON A GENERALIZED SELF-SIMILARITY IN THE p-ADIC FIELD." Fractals 24, no. 04 (2016): 1650041. http://dx.doi.org/10.1142/s0218348x16500419.

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In the present paper, we introduce a new set which defines a generalized self-similar set for contractive functions [Formula: see text] on the unit ball [Formula: see text] of [Formula: see text]-adic numbers. This set is called unconventional limit set. We prove that the unconventional limit set is compact, perfect and uniformly disconnected. Moreover, we provide an example of two contractions for which the corresponding unconventional limiting set is quasi-symmetrically equivalent to the symbolic Cantor set.
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Hosokawa, Iwao, Shin-ichi Oide, and Kiyoshi Yamamoto. "Trinomial Generalized Cantor Set Model for Isotropic Turbulence." Journal of the Physical Society of Japan 65, no. 4 (1996): 873–75. http://dx.doi.org/10.1143/jpsj.65.873.

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Cherny, A. Yu, E. M. Anitas, A. I. Kuklin, M. Balasoiu, and V. A. Osipov. "Scattering from generalized Cantor fractals." Journal of Applied Crystallography 43, no. 4 (2010): 790–97. http://dx.doi.org/10.1107/s0021889810014184.

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A fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set, is considered. In contrast with the usual Cantor set, the fractal dimension is controlled using a scaling factor, and can vary from zero to one in one dimension and from zero to three in three dimensions. The intensity profile of small-angle scattering from the generalized Cantor fractal in three dimensions is calculated. The system is generated by a set of iterative rules, each iteration corresponding to a certain fractal generation. Small-angle scattering is considered from monodisper
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UCHIMURA, KEISUKE. "THE SETS OF POINTS WITH BOUNDED ORBITS FOR GENERALIZED CHEBYSHEV MAPPINGS." International Journal of Bifurcation and Chaos 11, no. 01 (2001): 91–107. http://dx.doi.org/10.1142/s0218127401002018.

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We study the dynamical systems given by generalized Chebyshev mappings [Formula: see text] and show that (1) the set of points with bounded orbits of Fc(z) is connected and its complement in C∪{∞} is simply connected if and only if -4 ≤ c ≤ 2; (2) if c > 2, then the set of points with bounded orbits of Fc(z) is Cantor set. These results are the analogue of the theory of filled Julia sets of quadratic polynomials in one complex variable. We show that the mapping Fc(z) has relation to an important holomorphic map on the complex projective space P2.
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Rizkalla, Raafat Riad. "An orthonormal system on the construction of the generalized cantor set." International Journal of Mathematics and Mathematical Sciences 16, no. 4 (1993): 737–48. http://dx.doi.org/10.1155/s0161171293000924.

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This paper presents a new complete orthonormal system of functions defined on the interval[0,1]and whose supports shrink to nothing. This system related to the construction of the Cantor ternary set. We defined the canonicalmap ξand proved the equivalence between this system and the Walsh system. The generalized Cantor set with any dissection ratio is established and the constructed system is defined in the general case.
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Yang, Zhuowei, and Ping Wang. "DNA Sequences with Forbidden Words and the Generalized Cantor Set." Journal of Applied Mathematics and Physics 07, no. 08 (2019): 1687–96. http://dx.doi.org/10.4236/jamp.2019.78115.

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Soare, M. A., and R. C. Picu. "Spectral decomposition of random fields defined over the generalized Cantor set." Chaos, Solitons & Fractals 37, no. 2 (2008): 566–73. http://dx.doi.org/10.1016/j.chaos.2006.09.032.

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BLANCHARD, PAUL, ROBERT L. DEVANEY, ANTONIO GARIJO, and ELIZABETH D. RUSSELL. "A GENERALIZED VERSION OF THE MCMULLEN DOMAIN." International Journal of Bifurcation and Chaos 18, no. 08 (2008): 2309–18. http://dx.doi.org/10.1142/s0218127408021725.

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We study the family of complex maps given by Fλ(z) = zn + λ/zn + c where n ≥ 3 is an integer, λ is an arbitrarily small complex parameter, and c is chosen to be the center of a hyperbolic component of the corresponding Multibrot set. We focus on the structure of the Julia set for a map of this form generalizing a result of McMullen. We prove that it consists of a countable collection of Cantor sets of closed curves and an uncountable number of point components.
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Dissertations / Theses on the topic "Generalised Cantor Set"

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Wang, Nancy. "Fractal Sets: Dynamical, Dimensional and Topological Properties." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-233147.

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Fractals is a relatively new mathematical topic which received thorough treatment only starting with 1960's. Fractals can be observed everywhere in nature and in day-to-day life. To give a few examples, common fractals are the spiral cactus, the romanesco broccoli, human brain and the outline of the Swedish map. Fractal dimension is a dimension which need not take integer values. In fractal geometry, a fractal dimension is a ratio providing an index of the complexity of fractal pattern with regard to how the local geometry changes with the scale at which it is measured. In recent years, fracta
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Sendrowski, Janek. "Feigenbaum Scaling." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635.

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In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. A more intricate approach drawing from renormalization theory as well as a short consideration of some of the topological properties will also be presented. I was furthermore trying to put great emphasis on diagrams throughout the text to make the contents more comprehensible and intuitive.
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Book chapters on the topic "Generalised Cantor Set"

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Dasgupta, Abhijit. "Interval Trees and Generalized Cantor Sets." In Set Theory. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8854-5_13.

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Johnston, Deirdre. "Anxiolytics." In Psychiatric Aspects of Neurologic Diseases. Oxford University Press, 2008. http://dx.doi.org/10.1093/oso/9780195309430.003.0027.

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Anxiety disorders may occur as primary conditions (generalized anxiety, panic disorder); or may be associated with other psychiatric syndromes such as major depression or dementia. Benzodiazepines are the most widely prescribed anxiolytics. However, antidepressants such as selective serotonin reuptake inhibitors (SSRIs), serotonin-norepinephrine reuptake inhibitors (SNRIs), and tricyclic antidepressants (TCAs) also have potent anxiolytic properties; these agents are often safer and more effective in the long-termtreatment of generalized anxiety and panic attacks. Buspirone is occasionally effective for relatively milder forms of generalized anxiety. Neurologists evaluating anxious patients should have a high suspicion for the diagnosis of depression, because major depression can present with predominant anxiety symptoms, particularly in the elderly in whom agitation associated with depression may mimic severe anxiety (Schoevers et al., 2003). The neurologist may also encounter anxiety symptoms in patients with Alzheimer’s disease, vascular dementia, or following stroke. General medical causes of anxiety symptoms should be included in the differential diagnosis before anxiolytic treatment is begun. Such medical etiologies include hyperthyroidism, respiratory distress, cardiac arrhythmias, hypoglycemia, and pheochromocytoma. Moreover, physical discomfort may provoke anxiety symptoms in cognitively impaired patients who cannot express their physical symptoms to caregivers. Generalized anxiety, especially if accompanied by depression, is best treated with antidepressant agents. Benzodiazepines may produce benefits in the short term, if distress is great, but the long-term use risks the induction of physiologic dependence. The SSRIs sertraline and paroxetine, as well as the SNRI venlafaxine, are effective for generalized anxiety. Each drug should be started at low doses (sertraline 25mg daily, paroxetine 10mg QHS, extended-release venlafaxine 37.5mg daily) and slowly increased as tolerated. Final doses are similar to those required for the treatment of major depression, and slow dose escalation minimizes early exacerbation of anxiety symptoms. See Chapter 15 for further description of these agents, including side effects. TCAs are second-line agents for the treatment of generalized anxiety. Nortriptyline is the best tolerated TCA. It should be started at low doses (10mg QHS) and slowly increased as tolerated. Final doses generally need to achieve serum levels similar to those required for the treatment of major depression. Details of nortriptyline use can be found in Chapter 15.
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van Dam, Pieter-Jan, and Steven Van Laere. "Molecular profiling in cancer research and personalized medicine." In Oxford Textbook of Cancer Biology, edited by Francesco Pezzella, Mahvash Tavassoli, and David J. Kerr. Oxford University Press, 2019. http://dx.doi.org/10.1093/med/9780198779452.003.0024.

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Recent efforts by worldwide consortia such as The Cancer Genome Atlas and the International Cancer Genome Consortium have greatly accelerated our knowledge of human cancer biology. Nowadays, complete sets of human tumours that have been characterized at the genomic, epigenomic, transcriptomic, or proteomic level are available to the research community. The generation of these data was made possible thanks to the application of high-throughput molecular profiling techniques such as microarrays and next-generation sequencing. The primary conclusion from current profiling experiments is that human cancer is a complex disease characterized by extreme molecular heterogeneity, both between and within the classical, tissue-defined cancer types. This molecular variety necessitates a paradigm shift in patient management, away from generalized therapy schemes and towards more personalized treatments. This chapter provides an overview of how molecular cancer profiling can assist in facilitating this transition. First, the state-of-the-art of molecular breast cancer profiling is reviewed to provide a general background. Then, the most pertinent high-throughput molecular profiling techniques along with various data mining techniques (i.e. unsupervised clustering, statistical learning) are discussed. Finally, the challenges and perspectives with respect to molecular cancer profiling, also from the perspective of personalized medicine, are summarized.
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Smullyan, Raymond M. "The Unprovability of Consistency." In Gödel's Incompleteness Theorems. Oxford University Press, 1992. http://dx.doi.org/10.1093/oso/9780195046724.003.0012.

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Gödel’s second incompleteness theorem, roughly stated, is that if Peano Arithmetic is consistent, then it cannot prove its own consistency. The theorem has been generalized and abstracted in various ways and this has led to the notion of a provability predicate, which plays a fundamental role in much modern metamathematical research. To this notion we now turn. A formula P(v1) is called a provability predicate for S if for all sentences X and Y the following three conditions hold: Suppose now P(v1) is a Σ1-formula that expresses the set P of the system P.A. Under the assumption of ω-consistency, P(v1) represents P in P.A. Under the weaker assumption of simple consistency, all that follows is that P(v1) represents some superset of P, but that is enough to imply that if X is provable in P.A., then so is P (x̄).
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Wolfson, Michael C. "Computational Simulation Modeling." In Complex Systems and Population Health. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780190880743.003.0017.

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This chapter illustrates computer simulation “model thinking,” with brief descriptions of five recent health models along an abstract to applied spectrum. The author starts with a very simple model to assess not only the cross-sectional but also the lifetime redistributive impact of Canada’s publicly funded healthcare. Next is a multilevel interacting agent model seeking to understand why the correlations between city-level income inequality and mortality are so different between Canada and the United States. Following are models that significantly generalize the concept of attributable fraction applied to health-adjusted life expectancy and a genetic missing model to support cost-effectiveness of risk-based breast cancer screening policy options. The fifth model is the most detailed and is being applied to develop projections of long-term care utilization and costs. While this is a diverse set of models, collectively, they illustrate the range of possibilities, and the benefits of “model thinking.”
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Smullyan, Raymond M. "The General Idea Behind Gödel’s Proof." In Gödel's Incompleteness Theorems. Oxford University Press, 1992. http://dx.doi.org/10.1093/oso/9780195046724.003.0004.

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In the next several chapters we will be studying incompleteness proofs for various axiomatizations of arithmetic. Gödel, 1931, carried out his original proof for axiomatic set theory, but the method is equally applicable to axiomatic number theory. The incompleteness of axiomatic number theory is actually a stronger result since it easily yields the incompleteness of axiomatic set theory. Gödel begins his memorable paper with the following startling words. . . . “The development of mathematics in the direction of greater precision has led to large areas of it being formalized, so that proofs can be carried out according to a few mechanical rules. The most comprehensive formal systems to date are, on the one hand, the Principia Mathematica of Whitehead and Russell and, on the other hand, the Zermelo-Fraenkel system of axiomatic set theory. Both systems are so extensive that all methods of proof used in mathematics today can be formalized in them—i.e. can be reduced to a few axioms and rules of inference. It would seem reasonable, therefore, to surmise that these axioms and rules of inference are sufficient to decide all mathematical questions which can be formulated in the system concerned. In what follows it will be shown that this is not the case, but rather that, in both of the cited systems, there exist relatively simple problems of the theory of ordinary whole numbers which cannot be decided on the basis of the axioms.” . . . Gödel then goes on to explain that the situation does not depend on the special nature of the two systems under consideration but holds for an extensive class of mathematical systems. Just what is this “extensive class” of mathematical systems? Various interpretations of this phrase have been given, and Gödel’s theorem has accordingly been generalized in several ways. We will consider many such generalizations in the course of this volume. Curiously enough, one of the generalizations that is most direct and most easily accessible to the general reader is also the one that appears to be the least well known.
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Rapisarda, Andrea, and Vito Latora. "Nonextensive Effects in Hamiltonian Systems." In Nonextensive Entropy. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780195159769.003.0011.

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The Boltzmann-Gibbs formulation of equilibrium statistical mechanics depends crucially on the nature of the Hamiltonian of the JV-body system under study, but this fact is clearly stated only in the introductions of textbooks and, in general, it is very soon neglected. In particular, the very same basic postulate of equilibrium statistical mechanics, the famous Boltzmann principle S = k log W of the microcanonical ensemble, assumes that dynamics can be automatically an easily taken into account, although this is not always justified, as Einstein himself realized [20]. On the other hand, the Boltzmann-Gibbs canonical ensemble is valid only for sufficiently short-range interactions and does not necessarily apply, for example, to gravitational or unscreened Colombian fields for which the usually assumed entropy extensivity postulate is not valid [5]. In 1988, Constantino Tsallis proposed a generalized thermostatistics formalism based on a nonextensive entropic form [24]. Since then, this new theory has been encountering an increasing number of successful applications in different fields (for some recent examples see Abe and Suzuki [1], Baldovin and Robledo [4], Beck et al. [8], Kaniadakis et al. [12], Latora et al. [16], and Tsallis et al. [25]) and seems to be the best candidate for a generalized thermodynamic formalism which should be valid when nonextensivity, long-range correlations, and fractal structures in phase space cannot be neglected: in other words, when the dynamics play a nontrivial role [11] and fluctuations are quite large and non-Gaussian [6, 7, 8, 24, 26]. In this contribution we consider a nonextensive JV-body classical Hamiltonian system, with infinite range interaction, the so-called Hamiltonian mean field (HMF) model, which has been intensively studied in the last several years [3, 13, 14, 15, 17, 18, 19]. The out-of-equilibrium dynamics of the model exhibits a series of anomalies like negative specific heat, metastable states, vanishing Lyapunov exponents, and non-Gaussian velocity distributions. After a brief overview of these anomalies, we show how they can be interpreted in terms of nonextensive thermodynamics according to the present understanding.
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Betarte, Gustavo, and Alvaro Tasistro. "Extension of Martin-Löf’s type theory with record types and subtyping." In Twenty Five Years of Constructive Type Theory. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780198501275.003.0004.

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Our starting point, to which we refer hereafter as type theory, is the formulation of Martin-Löf’s set theory using the theory of types as a logical framework (Martin-Löf 1987; Nordström et al. 1990). The question that we address is that of the representation of systems of structures such as algebraic systems or abstract data types. In order to provide a general means to this end, we extend type theory with a new mechanism of type formation, namely that of dependent record types. This allows us to form types of tuples in such a manner as to allow any arbitrary set (i.e. not restricted to be among those generated by a fixed repertoire of set forming operations) to be used as a component of tuples of those types. Such types of tuples cannot be formed in the original theory. Moreover, as is well known from the theory of programming languages, a natural notion of inclusion arises between record types. Given two record types p and p′, if p contains every label declared in p′ (and possibly more) and the types of the common labels are in the inclusion relation then p is included in p′ in symbols, p ⊑ p′. This is justified because then every object of type p is also an object of type p’, since it contains components of appropriate types for all the fields specified in p′. Our extension contains the form of judgement α ⊑ β expressing that the type α is included in the type β and corresponding proof rules, which generalize record type inclusion to dependent record types and propagate it to the rest of the types of the language. In the present formulation, no proper inclusion between ground types is allowed. Having type inclusion represents a considerable advantage for the formalization of the types of structures in which we are interested. In particular, systems of algebras will be represented as record types and, according to the subtyping rule explained above, any algebraic system obtained by enriching another with additional structure will be a subtype of the original system.
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Sikorski, Krzysztof A. "Topological Degree Computation." In Optimal Solution of Nonlinear Equations. Oxford University Press, 2001. http://dx.doi.org/10.1093/oso/9780195106909.003.0008.

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In this chapter we address the problem of computing topological degree of Lipschitz functions. From the knowledge of the topological degree one may ascertain whether there exists a zero of a function inside the domain, a knowledge that is practically and theoretically worthwile. Namely, Kronecker’s theorem states that if the topological degree is not zero then there exists a zero of a function inside the domain. Under more-restrictive assumptions one may also derive equivalence statements, i.e., nonzero degree is equivalent to the existence of a zero. By computing a sequence of domains with nonzero degrees and decreasing diameters one can obtain a region with arbitrarily small diameter that contains at least one zero of the function. Such methods, called generalized bisections, have been implemented and tested by several authors, as described in the annotations to this chapter. These methods have been touted as appropriate when the function is not smooth or cannot be evaluated accurately. For such functions they yield close approximations to roots in many cases for which all available other methods tested have failed (see annotations). The generalized bisection methods based on the degree computation are related to simplicial continuation methods. Their worst case complexity in general classes of functions is unbounded, as results of section 2.1.2 indicate; however, for tested functions they did converge. This suggests the need of average case analysis of such methods. There are numerous applications of the degree computation in nonlinear analysis. In addition to the existence of roots, the degree computation is used in methods for finding directions proceeding from bifurcation points in the solution of nonlinear functional differential equations as well as others as indicated in annotations. Algorithms proposed for the degree computation were tested on relatively small number of examples. The authors concluded that the degree of arbitrary continuous function could be computed. It was observed, however, that the algorithms could require an unbounded number of function evaluations. This is why in our work we restrict the functions to still relatively large class of functions satisfying the Lipschitz condition with a given constant K.
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Beris, Antony N., and Brian J. Edwards. "The Dynamical Theory of Liquid Crystals." In Thermodynamics of Flowing Systems: with Internal Microstructure. Oxford University Press, 1994. http://dx.doi.org/10.1093/oso/9780195076943.003.0016.

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Liquid crystals (LCs) present a state of matter with properties—as the name suggests—intermediate between those of liquids and crystalline solids. Liquid-crystalline materials, as all liquids, cannot support shear stresses at static equilibrium. Their molecules are characterized by an anisotropy in the shape and/or intermolecular forces. Thus, there is the potential for the formation of a separate phase(s), called a “mesophase(s),” where a partial order arises in the molecular orientation and/or location, which extends over macroscopic distances. This partial long-range molecular order, reminiscent of (but not equivalent to) the perfect order of solid crystals, in addition to the material fluidity, is primarily responsible for the many properties which are inherent characteristics of liquid-crystalline phases, such as a rapid response to electric and magnetic fields, anisotropic optical and rheological properties, etc.—see, for examples, the reviews by Stephen and Straley [1974] and Jackson and Shaw [1991], the monographs by de Gennes [1974], Chandrasekhar [1977], and Vertogen and de Jeu [1988], and the edited volumes by Ciferri et al. [1982] and Ciferri [1991]. The variety of the liquid-crystalline macroscopic properties is such that trying to derive a theory capable of describing the principal liquid-crystalline dynamic characteristics can be a very frustrating task if one does not approach the issue in a systematic fashion. Characteristically, the main two theories that have been advanced over the last thirty years for the description of the liquid-crystalline flow behavior—the Leslie/ Ericksen (LE) theory and the Doi theory—are essentially models developed from a set theoretical frame work—continuum mechanics and molecular theory, respectively. Nevertheless, each one of these theories has a limited domain of application. The description of the dynamic liquid-crystalline behavior through the bracket formalism, as seen in this chapter, leads naturally to a single conformation tensor theory with an extended domain of validity. This conformation theory consistently generalizes both previous theories, which can be recovered from it as particular cases. This offers additional evidence that the wealth of inherent information in LCs can only be appropriately handled when pursued in a systematic, fundamental manner.
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Conference papers on the topic "Generalised Cantor Set"

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Gortzen, Simon, Lars Schiefler, and Anke Schmeink. "Hierarchical generalized Cantor set modulation." In 2011 8th International Symposium on Wireless Communication Systems (ISWCS 2011). IEEE, 2011. http://dx.doi.org/10.1109/iswcs.2011.6125309.

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Steinmetz, Marcel, and Jörg Hoffmann. "Search and Learn: On Dead-End Detectors, the Traps they Set, and Trap Learning." In Twenty-Sixth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/614.

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A key technique for proving unsolvability in classical planning are dead-end detectors \Delta: effectively testable criteria sufficient for unsolvability, pruning (some) unsolvable states during search. Related to this, a recent proposal is the identification of traps prior to search, compact representations of non-goal state sets T that cannot be escaped. Here, we create new synergy across these ideas. We define a generalized concept of traps, relative to a given dead-end detector \Delta, where T can be escaped, but only into dead-end states detected by \Delta. We show how to learn compact re
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Lamy, H., A. Wawrzaszek, W. M. Macek, et al. "New Multifractal Analyses of the Solar Wind Turbulence : Rank-Ordered Multifractal Analysis and Generalized Two-scale Weighted Cantor Set Model." In TWELFTH INTERNATIONAL SOLAR WIND CONFERENCE. AIP, 2010. http://dx.doi.org/10.1063/1.3395816.

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Chuenchom, Tushchai, and Sridhar Kota. "Generalized Synthesis of Adjustable Mechanisms." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0304.

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Abstract Conventional mechanisms (cams, gears, and linkage-based that are typically single degree of freedom) are being increasingly replaced by multi-degree of freedom multi-actuators integrated with logic controllers. This new trend in sophistication although provides greatly enhanced flexibility, there are many instances where the flexibility needs are exaggerated and the associated complexity is unnecessary. On the other hand, the conventional mechanisms cannot fulfill multi-task requirements due to lack methods to design-in flexibility. Adjustable mechanisms or “programmable” mechanisms p
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Ghaderi, Aref, Vahid Morovati, Amir Bahrololoumi, and Roozbeh Dargazany. "A Physics-Informed Neural Network Constitutive Model for Cross-Linked Polymers." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-24227.

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Abstract The behavior of Cross-linked Polymers in finite deformations is often characterized by nonlinear behaviour. In this paper, we propose to embed an artificial neural network (ANN) within a micro-mechanical platform and thus to enforce certain physical restrictions of an amorphous network such as directional dependency and history-dependency of the constitutive behavior of rubber-like materials during loading and unloading. Accordingly, a strain energy density function is assumed for a set of chains in each direction based on ANN and trained with experimental data set. Summation of the e
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Dabbeeru, Madan Mohan, and Amitabha Mukerjee. "Functional Part Families and Design Change for Mechanical Assemblies." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49739.

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We consider two questions related to functional part families: a) how to characterize function in a computational framework, and b) how does the structure-to-function model generalize when the design changes, e.g. by changing the set of design variables? For the first, we observe that function is defined on the space of behaviours of the part, whereas structure is defined in the space of design parameters. For mechanical assemblies, as the design parameters change, their effect on the motion parameters can be complex, and cannot be automated in full generality. Thus, the mapping from structure
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Moreira, Miguel, and Jose´ Antunes. "Fluid-Coupled Vibrations of Immersed Spent Nuclear Racks: A Nonlinear Model Accounting for Squeeze-Film and Dissipative Phenomena." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62353.

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Fluid-coupling effects lead to a complex dynamical behavior of immersed spent fuel assembly storage racks. Predicting their responses under strong earthquakes is of prime importance for the safety of nuclear plant facilities. In the near-past we introduced a simplified linearized model for the vibrations of such systems, in which gap-averaged velocity and pressure fields were described analytically in terms of a single space-coordinate for each fluid inter-rack channel. Using such approach it was possible to generate and assemble a complete set of differential-algebraic equations describing th
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Chirkunov, Kirill, Anastasiia Gorelova, Zoia Filippova, Oksana Popova, Andrey Shokhin, and Semen Zaitsev. "Modern Look at Uncertainty in Conceptual Geological Modelling. Development of the Decision Support System for Petroleum Exploration." In SPE Annual Technical Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/206078-ms.

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Abstract At the early stages of field life, the subsurface project team operates under lack of information. Due to the high uncertainties, decisions at the exploration and appraisal stages are often influenced by cognitive distortion that leads to overestimation or underestimation of hydrocarbon reserves and, as a result, to suboptimal investment decisions. World practice allows us to identify the most common causes of cognitive bias: the team focus on the most provable according to their view scenario and may ignore data that contradicts the chosen scenario,the opinions of the team members di
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Viviers, D., E. E. W. Van Houten, M. D. J. McGarry, J. B. Weaver, and K. D. Paulsen. "Initial In-Vivo Results Considering Rayleigh Damping in Magnetic Resonance Elastography." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12709.

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Dispersive material properties provide valuable metrics for characterizing the nature of soft tissue lesions. Magnetic Resonance Elastography (MRE) targets non-invasive breast cancer diagnosis and is capable of imaging the damping properties of soft tissue. 3D time-harmonic displacement data obtained via MRI is used to drive a reconstruction algorithm capable of deducing the distribution of mechanical properties in the tissue. To make the most of this diagnostic capability, characterization of the damping behavior of tissue is made more sophisticated by the use of a Rayleigh damping model. To
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Reyna Flores, Ana Gabriela, Quentin Fisher, and Piroska Lorinczi. "Convolutional Neural Networks for the Classification of the Microstructure of Tight Sandstone." In International Petroleum Technology Conference. IPTC, 2021. http://dx.doi.org/10.2523/iptc-21208-ms.

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Abstract Tight gas sandstone reservoirs vary widely in terms of rock type, depositional environment, mineralogy and petrophysical properties. For this reason, estimating their permeability is a challenge when core is not available because it is a property that cannot be measured directly from wire-line logs. The aim of this work is to create an automatic tool for rock microstructure classification as a first step for future permeability prediction. Permeability can be estimated from porosity measured using wire-line data such as derived from density-neutron tools. However, without additional i
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