We give an almost explicit presentation of exotic functions corresponding to some exotic smooth structure on topologically trivial R4. The construction relies on the model-theoretic tools from the previous paper. We can formulate unexpected, yet direct connection between ‘‘localized’’ exotic small R4’s and some noncommutative spaces. The formalism of QM can be interpreted in terms of exotic smooth R4’s localized in spacetime. A new way of looking at the problem of decoherence is suggested. The 4-dimensional spacetime (...) itself has built-in means which may enforce a kind of decoherence. (shrink)

Even though the description of the universe in cosmology is known to be given by a smooth 4-dimensional Lorentz manifold for energies below Planck scale, one still can ask about the origins of this phenomenon. In this paper we show that mathematics used for description of quantum systems at micro scale determines smoothness of spacetime at large cosmological scales and indicates the dimension 4 as the only possible dimension for spacetime.

Recently the cosmological evolution of the universe has been considered where 3-dimensional spatial topology undergone drastic changes. The process can explain, among others, the observed smallness of the neutrino masses and the speed of inflation. However, the entire evolution is perfectly smooth from 4-dimensional point of view. Thus the raison d’être for such topology changes is the existence of certain non-standard 4-smoothness on R4 already at very early stages of the universe. We show that the existence of such (...) class='Hi'>smoothness can be understood as a byproduct of the quantumness of the origins of the universe. Our analysis is based on certain formal aspects of the quantum mechanical lattice of projections of infinite dimensional Hilbert spaces where formalization reaches the level of models of axiomatic set theory. (shrink)

In this book, leading theorists present new contributions and reviews addressing longstanding challenges and ongoing progress in spacetime physics. In the anniversary year of Einstein's General Theory of Relativity, developed 100 years ago, this collection reflects the subsequent and continuing fruitful development of spacetime theories. The volume is published in honour of Carl Brans on the occasion of his 80th birthday. Carl H. Brans, who also contributes personally, is a creative and independent researcher and one of the founders of the (...) scalar-tensor theory, also known as Jordan-Brans-Dicke theory. In the present book, much space is devoted to scalar-tensor theories. Since the beginning of the 1990s, Brans has worked on new models of spacetime, collectively known as exotic smoothness, a field largely established by him. In this Festschrift, one finds an outstanding and unique collection of articles about exotic smoothness. Also featured are Bell's inequality and Mach's principle. Personal memories and historical aspects round off the collection. (shrink)

Based on formal arguments from Zermelo–Fraenkel set theory we develop the environment for explaining and resolving certain fundamental problems in physics. By these formal tools we show that any quantum system defined by an infinite dimensional Hilbert space of states interferes with the spacetime structure M. M and the quantum system both gain additional degrees of freedom, given by models of Zermelo–Fraenkel set theory. In particular, M develops the ground state where classical gravity vanishes. Quantum mechanics distinguishes set-theoretic random forcing (...) such that M and gravitational degrees of freedom are parameterized by extended real line. The large scale smooth geometry compatible with the forcing extensions is one of exotic smoothness structures of \. The amoeba forcing makes the old real line to have Lebesgue measure zero in the extended one. We apply the entire procedure to the cosmological constant problem, especially to discard the zero-modes contributions to the gravitational vacuum density. Moreover, there exists certain exotic smooth \ from which one determines the realistic, agreeing with observation, small value of the vacuum energy density. (shrink)

A general duality connecting the level of a formal theory and of a metatheory is proposed. Because of the role of natural numbers in a metatheory the existence of a dual theory is conjectured, in which the natural numbers become formal in the theory but in formalizing non-formal natural numbers taken from the dual metatheory these numbers become nonstandard. For any formal theory there may be in principle a dual theory. The dual shape of the lattice of projections over separable (...) Hilbert space is exhibited. The crucial ingredient of this dual theory is set-theoretical (Cohen) forcing. Then, some attempts have been made to exhibit the dual shape of the exotic smooth (small) structures on topological ℝ4. There are striking similarities of both pictures. Nonstandard solutions of the equations of motion of 10-dimensional superstring of IIB type are described as a model theoretic extension of standard ones. Based on Brans conjecture one can predict the existence of sources of gravity in 4 dimensions. By their dual origins they carry quantum information as well. The generalized Maldacena conjecture appears naturally, which sheds light on a definition of background independent string theory. (shrink)

The recent publication of Heidegger’s 1936 lectures on Schelling’s essay on human freedom reveals yet another point of transition along the way from Being and Time to the later works on language and poetry. It brings to light an influence on Heidegger almost as weighty as his reading of Hölderlin and Nietzsche in that same decade, an influence hitherto only hinted at in published works. It now appears that Heidegger’s essays on identity, on grounding, on being, all bear the imprint (...) of a dialogue with Schelling, that he discovered in the latter thinker a valuable prototype of his notion of being. If the reader is not aware of the direction of Heidegger’s own thought, the 1936 lectures on their own reveal little of the dialogue. Schelling’s Investigations is a difficult and obscure work, and Heidegger confines himself to close textual work, with care and insight bringing even the most obscure passages out of allegory into lucid philosophical statement. The lectures are a triumph of pedagogy, the most careful attempt to date to read Schelling as an ontological thinker. Yet their smooth surface, scholarly poise, and objectivity leave hidden a question of real interest: Why should Schelling, commonly thought a weak link to Hegel or the first symptom of “existentialist” anti-Hegelian reaction, be of interest to Heidegger the philosopher? And why, in particular, should this most exotic of Schelling’s works, touched by the influence of theosophists like Boehme, be accepted by Heidegger as one of the crucial moments of the West’s historical thinking through of being? (shrink)

This essay aims to deepen our comprehension of the economic ethics of different peoples in Asia, as well as realizing a degree of cultural relativism, in order to enhance amicable economic associations. It counterbalances the conventionally strong West-oriented views which regard exotic features of non-Western economies as backward and illogical elements that disturb smooth and orthodox development and, hence, should be eradicated. The author, first, recalls a number of facts which depict the eruptive economic transformation in Asia. He, then, (...) criticizes the imposition of Western-style development and exploitation without excluding Japan’s colonialism in Taiwan and Korea, and pleads for multiple forms of development and modernity. Economic transactions should be analysed in relation to sociocultural aspects, and, therefore, communities and ethics groups play a substantive role between the public and private sectors, the market, and individuals. For instance, small farmers in Southeast Asia, struggling with the weakness of tenant farmers and pressures of the market mechanism, developed ingenious and participatory forms of survival, increasingly supported by non-governmental organizations. Case studies from Thailand, Malaysia, and the Philippines give a vivid picture of these activities. Because the developing economies are composed of market and non-market sectors, reasonable attention should be given to theethics beyond market principles, with particular emphasis on community as foundation. (shrink)

The problem is posed of the prescription of the so-called Boltzmann–Grad limit operator ) for the N-body system of smooth hard-spheres which undergo unary, binary as well as multiple elastic instantaneous collisions. It is proved, that, despite the non-commutative property of the operator \, the Boltzmann equation can nevertheless be uniquely determined. In particular, consistent with the claim of Uffink and Valente that there is “no time-asymmetric ingredient” in its derivation, the Boltzmann equation is shown to be time-reversal symmetric. The (...) proof is couched on the “ab initio” axiomatic approach to the classical statistical mechanics recently developed. Implications relevant for the physical interpretation of the Boltzmann H-theorem and the phenomenon of decay to kinetic equilibrium are pointed out. (shrink)

Proponents of ecological restoration view the practice as a means of both repairing damage done to ecosystems by humans and creating an avenue to re-establish respectful and cooperative human-environment relationships. One debate affecting ecological restoration focuses on the place of 'exotic' species in restored ecosystems. Though popular, campaigns against exotics have been criticized for their troubling rhetorical parallels with nativism aimed at human immigrants. I point to some of the reasons why this critique of nativism persists, despite protests that (...) no xenophobic intent is evident, emphasizing the intimacy between social metaphors and claims about exotic nature. Language is but one facet of an entanglement of nature and society that ecological restoration strives to take seriously; however, restoration practice remains ambivalent toward this dichotomy permitting a longing for lost community purity that is embraced in nativism. Regarding defenses of nativism, I point out limitations of attempts to reframe the issue from a reactionary rejection of the foreign Other toward an argument for protecting communities from a process akin to 'cultural imperialism'. (shrink)

A smooth rotated hyperbola model for support vector machine (SVM) is proposed. The method is based on the approximation property of the hyperbola to its asymptotic lines. The rotated hyperbola model has the least error on approximating the plus function when the angle between the two asymptotic lines is 135 degree. Experimental result shows that compared with other smooth methods, the rotated hyperbola function support vector machine (RHSSVM) reduces the compute time and can efficiently handle large scale and high dimensional (...) programs. (shrink)

As shown by Ramarkrishnan, the faithful mapping, in the sense of Lie groups, of the real line onto the finite segment−1

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A kind of ‘neo‐Aristotelianism’ that connects educational reasoning and reflection to phronesis, and education itself to praxis, has gained considerable following in recent educational discourse. The author identifies four cardinal claims of this phronesis‐praxis perspective: that a) Aristotle's epistemology and methodology imply a stance that is essentially, with regard to practical philosophy, anti‐method and anti‐theory; b) ‘producing’, under the rubric of techné, as opposed to ‘acting’ under the rubric of phronesis, is an unproblematically codifiable process; c) phronesis must be given (...) a particularist interpretation; and d) teaching is best understood as praxis in the Aristotelian sense, guided by phronesis. The author argues that these claims have insufficient grounding in Aristotle's own writings, and that none of them stands up to scrutiny. (shrink)

Since its founding in the nineteenth century, social anthropology has been seen as the study of exotic peoples in faraway places. But today more and more anthropologists are dedicating themselves not just to observing but to understanding and helping solve social problems wherever they occur--in international aid organizations, British TV studios, American hospitals, or racist enclaves in Eastern Europe, for example. In Exotic No More , an initiative of the Royal Anthropological Institute, some of today's most respected anthropologists (...) demonstrate, in clear, unpretentious prose, the tremendous contributions that anthropology can make to contemporary society. They cover issues ranging from fundamentalism to forced migration, child labor to crack dealing, human rights to hunger, ethnicity to environmentalism, intellectual property rights to international capitalisms. But Exotic No More is more than a litany of gloom and doom the essays also explore topics usually associated with leisure or "high" culture, including the media, visual arts, tourism, and music. Each author uses specific examples from their fieldwork to illustrate their discussions, and 62 photographs enliven the text. Throughout the book, the contributors highlight anthropology's commitment to taking people seriously on their own terms, paying close attention to what they are saying and doing, and trying to understand how they see the world and why. Sometimes this bottom-up perspective makes the strange familiar, but it can also make the familiar strange, exposing the cultural basis of seemingly "natural" behaviors and challenging us to rethink some of our most cherished ideas--about gender, "free" markets, "race," and "refugees," among many others. Contributors: William O. Beeman Philippe Bourgois John Chernoff E. Valentine Daniel Alex de Waal Judith Ennew James Fairhead Sarah Franklin Michael Gilsenan Faye Ginsburg Alma Gottlieb Christopher Hann Faye V. Harrison Richard Jenkins Melissa Leach Margaret Lock Jeremy MacClancy Jonathan Mazower Ellen Messer A. David Napier Nancy Scheper-Hughes Jane Schneider Parker Shipton Christopher B. Steiner. (shrink)

We propose a canonization scheme for smooth equivalence relations on Rω modulo restriction to E0-large infinite products. It shows that, given a pair of Borel smooth equivalence relations E, F on Rω, there is an infinite E0-large perfect product P⊆Rω such that either F⊆E on P, or, for some ℓ<ω, the following is true for all x,y∈P: xEy implies x(ℓ)=y(ℓ), and x↾(ω∖{ℓ})=y↾(ω∖{ℓ}) implies xFy.

Gilles Deleuze and Félix Guattari frequently discuss Western classical music, referencing such diverse traditions as medieval polyphony and 20th century modernism. In their work, however, they have an intense focus, common among philosophers, on composition, with very little consideration given to performance. Nevertheless, I find that their work resonates with questions of performance in important ways. In this paper, I bring Deleuze and Guattari’s work to bear on the practices and processes of musical interpretation and performance, transposing into this musical (...) domain the concepts of the smooth and the striated that they explicate in A Thousand Plateaus. The basic claim is that there exist smooth and striated methods of interpreting and performing music and that these concepts allow us to articulate afresh important differences in performance practice. Ultimately, I claim that the smooth is perhaps the privileged term, but that a good performance necessarily includes both smooth and striated elements. (shrink)

Smooth muscle cells squeeze the blood back to your heart, raise the hackles on your neck and change the F‐stop of your eyes. The past year has provided penetrating new insights into their mechanism of contraction.

George Loewenstein is one of the pioneers of the rapidly growing field of behavioral economics. For over twenty years he has been working at the intersection of economics and psychology and is one of the few people of whom it can be said that their work is equally respected and well known within both disciplines. This book brings together a selection of his papers focusing on what he calls "exotic preferences"-- the disparate motives that drive human behavior. Anoriginal introduction (...) outlines Loewenstein's general approach to research, and there are short introductions to each paper outlining briefly when, how and why they came to be written, providing a fascinating and vivid insight into the process of intellectual creativity. (shrink)

A new three-order piecewise function was used to smoothen the model of Support Vector Machine( SVM) and a Third-order Piecewise Smooth SVM( TPSSVM) was proposed. By theory analyzing, approximation accuracy of the smooth function to the plus function is higher than that of the available. When dealing with the multi-class problem, a coding method of multi-class classification based on one-against-rest was proposed. Principal Component Analysis( PCA) was employed to extract the main features of face image set, and multi-class classification of (...) smooth SVM was used for face recognition. The experimental results on ORL and FERET face databases show that the recognition rate of smooth SVM for multi-class classification is better than the traditional identification methods. (shrink)

We analyze N. C. A. da Costa and F. A. Doria’s “exotic formalization” of the conjecture P = NP [3–7]. For any standard axiomatic PA extension T and any number-theoretic sentence ${\varphi }$ , we let ${\varphi ^{\star} := \varphi \vee \lnot \mathsf{Con}\left( \mathsf{T}\right)}$ and prove the following “exotic” inferences 1–3. 1. ${\mathsf{T}+\varphi ^{\star}}$ is consistent, if so is T, 2. ${\mathsf{T}+\varphi}$ is consistent, provided that ${\mathsf{T}+\varphi ^{\star}}$ is ω-consistent, 3. ${\mathsf{T}+\varphi}$ is consistent, provided that T is consistent (...) and has the same provably total recursive functions as ${\mathsf{T}+\left( \varphi \leftrightarrow \varphi ^{\star }\right) }$ . Furthermore we show that 1–3 continue to hold for ${\varphi ^{\star} := \varphi _{S} :=\varphi \vee \lnot S}$ , where ${S=\forall x\exists yR\left( x,y\right)}$ is any ${\Pi _{2}^{0}}$ sentence satisfying: 4. ${\left( \forall n\in \omega \right) \left( \mathsf{T}\vdash S_{x}\left[ \underline{n}\right] \right) }$ , 5. ${\mathsf{Con}\left( \mathsf{T}\right) \Rightarrow \mathsf{T}\nvdash S}$ . We observe that if ${\varphi :=\left[ \mathsf{P}=\mathsf{NP}\right] }$ and ${S:= \left[\digamma total\right] }$ , where ${\digamma=\digamma _{\mathsf{T}}}$ is da Costa-Doria “exotic” function with respect to T, then 4, 5 are satisfied for most familiar (presumably) consistent T in question, while ${\varphi _{S}}$ becomes equivalent to da Costa-Doria “exotic formalization” ${\left[ \mathsf{P}=\mathsf{NP}\right]^{\digamma}}$ . Moreover, the corresponding “exotic” inferences 1–3 generalize analogous da Costa-Doria results. Hence these “exotic” inferences are universal for all number-theoretic sentences and not characteristic to the conjecture P = NP. Nor do they infer relative consistency of P = NP (see Conclusion 15 in the text). (shrink)

In this pathbreaking study, Micaela di Leonardo reveals the face of power within the mask of cultural difference. From the 1893 World's Fair to Body Shop advertisements, di Leonardo focuses on the intimate and shifting relations between popular portrayals of exotic Others and the practice of anthropology. In so doing, she casts new light on gender, race, and the public sphere in America's past and present. "An impressive work of scholarship that is mordantly witty, passionately argued, and takes no (...) prisoners."--Lesley Gill, News Politics "[Micaela] di Leonardo eloquently argues for the importance of empirical, interdisciplinary social science in addressing the tragedy that is urban America at the end of the century."--Jonathan Spencer, Times Literary Supplement "In her quirky new contribution to the American culture brawl, feminist anthropologist Micaela di Leonardo explains how anthropologists, 'technicians of the sacred,' have distorted American popular debate and social life."--Rachel Mattson, Voice Literary Supplement "At the end of di Leonardo's analyses one is struck by her rare combination of rigor and passion. Simply, [she] is a marvelous iconoclast."--Matthew T. McGuire, Boston Book Review. (shrink)

Accurate prediction of battery quality using early-cycle data is critical for battery, especially lithium battery in microgrid networks. To effectively predict the lifetime of lithium-ion batteries, a time series classification method is proposed that classifies batteries into high-lifetime and low-lifetime groups using features extracted from early-cycle charge-discharge data. The proposed method is based on a smooth localized complex exponential model that can extract battery features from time-frequency maps and self-adaptively select the time-frequency resolution to maximize the discrepancy of data from (...) the two groups. A smooth localized complex exponential periodogram is then calculated to obtain the time-frequency decomposition of the whole time series data for further classification. The experimental results show that, by using battery features extracted from the first 128 charge-discharge processes, the proposed method can accurately classify batteries into high-lifetime and low-lifetime groups, with classification accuracy and specificity as high as 95.12% and 92.5%, respectively. (shrink)

I propose a theory of space with infinitesimal regions called smooth infinitesimal geometry based on certain algebraic objects, which regiments a mode of reasoning heuristically used by geometricists and physicists. I argue that SIG has the following utilities. It provides a simple metaphysics of vector fields and tangent space that are otherwise perplexing. A tangent space can be considered an infinitesimal region of space. It generalizes a standard implementation of spacetime algebraicism called Einstein algebras. It solves the long-standing problem of (...) interpreting smooth infinitesimal analysis realistically, an alternative foundation of spacetime theories to real analysis, 277–392, 1980). SIA is formulated in intuitionistic logic and is thought to have no classical reformulations. Against this, I argue that SIG is such a reformulation. But SIG has an unorthodox mereology, in which the principle of supplementation fails. (shrink)

Clothes laundering are necessary during their cycle life, and the mechanical forces exposed to fabrics during laundering were caused to wrinkle. Therefore, in this paper, the wrinkle of the cotton fabric after home laundering was evaluated based on their characteristic. The washing process was done without any softener as toxic material. For this purpose, experimental and theoretical evaluations were conducted. In experiments, the cotton fabrics in various characteristics were washed by washing machine without any softener in special adjustments. The wrinkle (...) of the samples was rated based on the light line method. Theoretical evaluations were studied by the development of a new type-2 fuzzy neural network. In this model the thickness, weight, warp and weft density per inch, warp and weft Tex as linear density, and cover factor of the fabric in warp and weft directions were considered as input parameters and the wrinkle grade of the washed fabric was output. Analysis of the modeling and experimental results illustrates that when eight mentioned parameters were selected as inputs, the mean square error, root mean square error, and mean absolute error of the model were decreased in comparison of the models with two, four, and six inputs. According to this fact, all of the input parameters have an effect on the wrinkle of the cotton fabric after the washing process. (shrink)

We shall construct a smooth category of mice and embeddings in the core model for measures of order 0. The existence of such a category implies that the global principle □ holds in K. We then prove a much stronger, the so-called condensation-coherent version of global □. The key tool of the whole construction is a new criterion on preserving soundness under condensation.

In this paper, we aim at smoothing two connected ball Bézier curves from Cr−1 to Cr r ≥ 1 by minimizing the energies of the curves. We propose the algorithms based on internal energy minimization and curve attractor minimization. Then, we combine the internal energy and the curve attractor and give the algorithm based on combined energy minimization. All algorithms are established by solving bi-objective minimizations. Some numerical examples show that the proposed algorithms are effective, making them useful for smoothing (...) 3D objects constructed by connected ball Bézier curves. (shrink)

Nonlinear time series denoising is the prerequisite for extracting effective information from observation sequence. An effective chaotic signal denoising method not only has a good signal-to-noise ratio enhancement performance, but also can remain as a good unpredictable denoised signal. However, the inherent characteristics of chaos, such as extreme sensitivity to initial values and broadband spectrum, pose challenges for noise reduction of polluted chaotic signals. To address these issues, an adaptive smoothing multiscale morphological filtering is proposed to reconstruct chaotic signals. In (...) the process of noise reduction for contaminated chaotic signals, firstly, a multiscale morphological filter is constructed adaptively according to the multiscale permutation entropy of morphological filter residuals, and the contaminated signals are filtered. Secondly, the weight coefficients of scale structural element are calculated by the residual sum of squares operation, and the chaotic signals are reconstructed. Finally, the resampled filter signals are smoothed by cubic B-spline interpolation operation. In the experiment, the Lorenz signal with white Gaussian noise, the measured sunspot, and the chaotic vibration signal are reconstructed by four comparison methods. The test results show that the proposed ASMMF method has obvious advantages in noise suppression and topological trajectory restoration. (shrink)

ArgumentThe nineteenth century witnessed the advent of the modern zoo. Nearly everyone who came to watch the exotic animals was a “lay person” in the sense that virtually none had formal training in zoology. This paper provides a typology of these observers: the zoo directors, assistants, keepers, animal painters, and the “common” visitor. What did they observe and what were their motivations? Did they pursue a certain agenda? What kind of knowledge, if any, did they produce? Soon the issue (...) of the reliability of these observations emerged. Lay observers insisted on the veracity of their intimate and personal knowledge of animals while academics complained that their claims could not be generalized and were tainted by anthropomorphism. Hence the focus on the observations of these laymen will reveal contemporary assumptions on what may count as “scientific.” This is closely linked to the question of how far the zoo may qualify as a site of scientific investigation in the first place. The constraints on doing research on animals in a public space such as the zoo were numerous. Yet despite these obstacles the zoological garden contributed to the rise of ecological thinking as well as to the formation of ethology as a scientific discipline. (shrink)

Environmentalists consider invasions by exotic species of plants and animals to be one of the most serious environmental problems we face today, as well as one of the leading causes of biodiversity loss. We argue that in order to develop and enact sensible policies, it is crucial to consider two philosophical questions: What exactly makes a species native or exotic, and What values are at stake? We focus on the first of these two questions, and offer some preliminary (...) suggestions with regard to the second. Through a series of case studies, we show that it is not always clear whether a species is native or exotic. We identify five possible criteria that could be used for distinguishing natives from exotics. Rather than identifying one of these criteria as the 'correct' one, we suggest that the concepts of 'native' and ' exotic ' function more like what some philosophers have called cluster concepts. That is, there are several characteristics that are typical of native species, and a corresponding set of characteristics that are typical of exotic species. None of these characteristics is either necessary or sufficient for identifying a species as either native or exotic. We then identify several of the values that are at stake in dealing with exotic species, and we suggest that policies need to avoid being overly simplistic. (shrink)

In the fourteenth plateau of A Thousand Plateaus, Deleuze and Guattari develop a dichotomy between two kinds of space – the smooth and the striated. What I want to focus on in this chapter is the status of these two conceptions of space. As Deleuze and Guattari note, these two forms of space are only discovered in a mixed form, yet are capable of being analysed de jure through their separation. In this sense, the plateau on the smooth and striated (...) can be seen as something like a transcendental deduction of their ontology of spaces. I will explore what Deleuze and Guattari mean when they say that they want to construct a theo-noology of smooth and striated spaces. I want to look at the ethical implications of this distinction, before looking at some alternative approaches to the issue of space. It should be noted that the question of the striation of space is one that is shared by Bergson, Heidegger, Merleau-Ponty and Sartre among others. The novelty of Deleuze and Guattari’s account is in their formulation of the notion of smooth space as a response. I will begin by looking at the notion of striated space itself, and in particular will explore the degree to which we should see it as a structure or as a method, and the interrelation between these two characterisations. (shrink)

As of the end of October 2020, the cumulative number of confirmed cases of COVID-19 has exceeded 45 million and the cumulative number of deaths has exceeded 1.1 million all over the world. Faced with the fatal pandemic, countries around the world have taken various prevention and control measures. One of the important issues in epidemic prevention and control is the assessment of the prevention and control effectiveness. Changes in the time series of daily new confirmed cases can reflect the (...) impact of policies in certain regions. In this paper, a smooth transition autoregressive model is applied to investigate the intrinsic changes during the epidemic in certain countries and regions. In order to quantitatively evaluate the influence of the epidemic control measures, the sequence is fitted to the STAR model; then, comparisons between the dates of transition points and those of releasing certain policies are applied. Our model well fits the data. Moreover, the nonlinear smooth function within the STAR model reveals that the implementation of prevention and control policies is effective in some regions with different speeds. However, the ineffectiveness is also revealed and the threat of a second wave had already emerged. (shrink)

Nowadays there are many spaces of fascination in visual art. Of course, installative space and contextual space have been on the art scene for awhile. However, they are now accompanied by other spaces such as urban space, architectural space, cyberspace, hyperspace, and screen-based space. In this volume, architects, artists, theorists, three symposia and four exhibitions attempt to find answers to questions such as: Could the architectonic study and/or deconstruction of space play a decisive role in the shift of attention to (...) space? Which theoretical factors structure the current experience and meaning of space? What is the role of the aesthetization of the environment on our concept of space? Smooth Space - VCC de Brakke Grond, Amsterdam - is a project at the heart of this publication. Spatial interests range from how the concept of space is redefined and exploited in our current visual culture to how the digital world influences our spatial concepts. Participants in this issue are: Jean Attali, Annette W. Balkema, Andrew Benjamin, Ole Bouman, Bernard Cache, Paul Crowther, Christoph Fink, Hugo Heyrman, Hou Hanru, Rem Koolhaas, Geert Lovink, Karlheinz Lüdeking, Bartomeu Mari, Kas Oosterhuis, Jan van de Pavert, Keiko Sato, Eran Schaerf, Lara Schnitger, Roger Scruton, Martin Seel, Nasrine Seraji, Henk Slager, Sjoerd Soeters, Lars Spuybroek, Ann Van Sevenant, Peter Weibel and Mark Wigley. (shrink)

This paper examines the relationship between Foucault's general concerns and his neglected work on non-Western societies. It does so by examining two related questions. Firstly, what role does exoticism play in his theoretical imaginary? Secondly, how does his work on Japan, Iran and the non-Western world contribute to a different understanding of his thinking? As such, four general themes will be followed in order to underline the interplay of cultural difference with Foucault's broader projects: the limits of Western reason, genealogical (...) schemes of history, power and resistance, and, finally, subjectification. Throughout, an attempt will be made to highlight the interdependence and mutual constitution of Foucault's thought and matters of cultural alterity. (shrink)

This paper studies the properties of eight semantic consequence relations defined from a Tarski-logic L and a preference relation ≺. They are equivalent to Shoham’s so-called preferential entailment for smooth model structures, but avoid certain problems of the latter in non-smooth configurations. Each of the logics can be characterized in terms of what we call multi-selection semantics. After discussing this type of semantics, we focus on some concrete proposals from the literature, checking a number of meta-theoretic properties and elaborating on (...) their intuitive motivation. As it turns out, many of their meta-properties only hold in case ≺ is transitive. To tackle this problem, we propose slight modifications of each of the systems, showing the resulting logics to behave better at the intuitive level and in metatheoretic terms, for arbitrary ≺. (shrink)

Smooth muscle cells have developed a contractile machinery that allows them to exert tension on the surrounding extracellular matrix over their entire length. This has been achieved by coupling obliquely organized contractile filaments to a more‐or‐less longitudinal framework of cytoskeletal elements. Earlier structural data suggested that the cytoskeleton was composed primarily of intermediate filaments and played only a passive role. More recent findings highlight the segregation of actin isotypes and of actin‐associated proteins between the contractile and cytoskeletal domains and raise (...) the possibility that the cytoskeleton performs a more active function. Current efforts focus on defining the relative contributions of myosin cross‐bridge cycling and actin‐associated protein interactions to the maintenance of tension in smooth muscle tissue. (shrink)

In contrast with some recent theories of infinitesimals as non-Archimedean entities, Leibniz’s mature interpretation was fully in accord with the Archimedean Axiom: infinitesimals are fictions, whose treatment as entities incomparably smaller than finite quantities is justifiable wholly in terms of variable finite quantities that can be taken as small as desired, i.e. syncategorematically. In this paper I explain this syncategorematic interpretation, and how Leibniz used it to justify the calculus. I then compare it with the approach of Smooth Infinitesimal Analysis (...) (SIA), as propounded by John Bell. Despite many parallels between SIA and Leibniz’s approach —the non-punctiform nature of infinitesimals, their acting as parts of the continuum, the dependence on variables (as opposed to the static quantities of both Standard and Non-standard Analysis), the resolution of curves into infinitesided polygons, and the finessing of a commitment to the existence of infinitesimals— I find some salient differences, especially with regard to higher-order infinitesimals. These differences are illustrated by a consideration of how each approach might be applied to Newton’s Proposition 6 of the Principia, and the derivation from it of the v2/r law for the centripetal force on a body orbiting around a centre of force. It is found that while Leibniz’s syncategorematic approach is adequate to ground a Leibnizian version of the v2/r law for the “solicitation” ddr experienced by the orbiting body, there is no corresponding possibility for a derivation of the law by nilsquare infinitesimals; and while SIA can allow for second order differentials if nilcube infinitesimals are assumed, difficulties remain concerning the compatibility of nilcube infinitesimals with the principles of SIA, and in any case render the type of infinitesimal analysis adopted dependent on its applicability to the problem at hand. (shrink)

Axioms for the continuum, or smooth real line R. These include the usual axioms for a commutative ring with unit expressed in terms of two operations + and i , and two distinguished elements 0 ≠ 1. In addition we stipulate that R is a local ring, i.e., the following axiom: ∃y x i y = 1 ∨ ∃y (1 – x) i y = 1. Axioms for the strict order relation < on R. These are: 1. a < b (...) and b < c implies a < c. 2. ¬(a < a) 3. a < b implies a + c < b + c for any c. ≤ 4. a < b and 0 < c implies acbc.. (shrink)

This article puts forward a novel smooth rotated hyperbola model for support vector machine (RHSSVM) for classification. As is well known, the Support vector machine (SVM) is based on Statistical Learning Theory and performs its high precision on data classification. However, the objective function is non-differentiable at the zero point. Therefore the fast algorithms cannot be used to train and test the SVM. To deal with it, the proposed method is based on the approximation property of the hyperbola to its (...) asymptotic lines. Firstly, we describe the development of RHSSVM from the basic linear SVM optimization programming. Then we extend the linear model to non-linear model. We prove the solution of RHSSVM is convergent, unique, and global optimal. We show how RHSSVM can be practically implemented. At last, the theoretical analysis illustrates that compared with other three typical models, the rotated hyperbola model has the least error on approximating the plus function. Meanwhile, computer simulations show that the RHSSVM can reduce the consuming time at most 54.6% and can efficiently handle large scale and high dimensional programming. -/- . (shrink)

With the rising influence of digitalization and its immense penetration intoeven everyday life, the last decade of the 20th Century addressed to a critical threshold in the successive transformation process of the spatiality in its long-term run. The advanced digital technologies of ubiquitous computing and generative design, as well as the invention of smart materials in late 90’s have all provoked the fluid characteristics of spatiality, and strengthen the transformative capacities of the architectural space through the emergence of computer-augmented territories. (...) Additionally, while they are becoming as the body extensions, the advent of novel apparatuses and gadgets further enhanced the inte- gration of the corporal and incorporal bodies with the spatio-temporal multiplicities, where the hyperdimensionality of the space has been triggered to its outmost range, in relation to the “soft and smart technologically augmented immanent millieu”, in Spuybroek terms. Thus, like Spuybroek points out as the “haptonomist” presence of the body merges itself with these diverse bodily extensions on one hand; and on the other hand, as the rising influence of nomadic view of the world further stimulates the unboundedness and endless fluidity of space, so that the spatiality becomes a landscape of successive transformations, a topology of emergence or a plane of becoming, which is merely defined by lines of forces, and occures as an alive territory rather than a limited space of predefined boarders. Therefore, this evolvable territory which is affectable and being affected by the lines of forces –inner and outer forces–, emerges as an animated existence, an interactive organism. So, by interacting with the Deleuzian Philosophy and their notions like lines of forces, folding, becoming, smooth space, territory, spatium, this article aims to reveal the relevance of these notions in architectural discourse, as well as the emergence of the smooth space in the contemporary architectural practice, by magnifiying one of the very initial examples of its kind; in terms of unfolding the Fresh Water Pavilion of NOX Architecture by Lars Spuybroek into question to reveal the essences of thecontemporary transformable-evolvable architectural spatiality. (shrink)

Let be a class of models with a notion of ‘strong’ submodel and of canonically prime model over an increasing chain. We show under appropriate set-theoretic hypotheses that if K is not smooth , then K has many models in certain cardinalities. On the other hand, if K is smooth, we show that in reasonable cardinalities K has a unique homogeneous-universal model. In this situation we introduce the notion of type and prove the equivalence of saturated with homogeneous-universal.

The relation ≤ on R is defined by a ≤ b ⇔ ¬b < a. The open interval (a, b) and closed interval [a, b] are defined as usual, viz. (a, b) = {x: a < x < b} and [a, b] = {x: a ≤ x ≤ b}; similarly for half-open, half-closed, and unbounded intervals.

where f ′ (x) is the derivative of f(x) and A is a quantity whose value depends on both x and δx. Now if it were possible to take δx so small (but not demonstrably identical with 0) that (δx)2 = 0 then (1) would assume the simple form..

We give a new proof of the subanalyticity of the regular locus of a p-adic subanalytic set, replacing use of an approximation theorem by a more natural argument based on the flatness of certain homomorphisms given by Taylor expansions of strictly convergent power series at a non-standard point of Zmp.

Considering the three intrinsic components of streamflow time series, the overall performance of the streamflow modeling tool is associated with the correct estimation of these components. In this study, a new hybrid method based on the wavelet transform as a multiresolution forecasting tool and exponential smoothing method, with two presented scenarios, was introduced. To this end, the performance of the proposed method was investigated versus four conventional methods of the autoregressive integrated moving average, ES ad-hoc, artificial neural network, and wavelet-ANN (...) for daily and monthly streamflow modeling of West Nishnabotna and Trinity River watersheds with different hydro-geomorphological conditions. In the presented WES technique, firstly, WT is employed for decomposing the observed signal to one approximation and more diverse components of subseries. Then, for the first scenario, only two subseries are introduced to the model as input parameters; however, for the second scenario, decomposed subseries are separately used as the inputs of ES models. The obtained results indicated that combining WT with the ES method and ANN led to more accurate modeling. The proposed methodology that used all decomposed subseries separately improved the efficiency of models up to 30% and 10% for the daily dataset and up to 88% and 57% for the monthly dataset, respectively, for the West Nishnabotna and Trinity Rivers. (shrink)

Commentators are divided on the interpretation of Metaphysics Z4 1029b13–22. For one thing, it is unclear whether the passage rejects a claim about the essence of surface, or about the essence of pale. It is usually thought that the claim is disavowed because it involves a circular definition. However, this is conjectural, since Aristotle does not explicitly say anything about circularity in the lines in question. I argue here for an alternative account, which reads the disputed lines as an extension (...) of the immediately preceding remarks. If correct, this also solves the problem as to just what Aristotle is denying. As will emerge, my story is helped by St. Thomas’ reading of lines 21–22, an account that has been curiously ignored in the recent literature. (shrink)

Prior research suggests that interviewers play an important role in representing their organization and in making the interview a pleasant experience for applicants. This study examined whether impression management used by interviewers (organization-enhancement and applicant-enhancement) is perceived by applicants, and how it influences applicants’ attitudes, intentions, and emotions. Adopting a signaling perspective, this article argues that applicants’ positive attitudes and intentions towards the organization increase if interviewers not only enhance the organization, but if the signals they sent (i.e., organization-enhancement) are (...) actually received by the applicant. Similarly, applicants’ positive emotions should increase if interviewers not only enhance the applicant, but if the signals they send (i.e., applicant-enhancement) are actually received by the applicant. A field study which involved video coding interviewers’ impression management behavior during 153 selection interviews and pre- and post-interview applicant surveys showed that the signals sent by interviewers during the interview were received by applicants. In addition, applicants rated the organization’s prestige and their own positive affect after the interview more positively when they perceived higher levels of organization-enhancement during the interview. Furthermore, applicants reported more positive affect and interview self-efficacy after the interview when they perceived higher levels of interviewer applicant-enhancement. We also found an indirect effect of interviewers’ organization-enhancement on organizational prestige through applicants’ perceptions of organization-enhancement as well as indirect effects of interviewers’ applicant-enhancement on applicants’ positive affect and interview self-efficacy through applicants’ perceptions of applicant-enhancement. Our findings contribute to an integrated understanding of the effects of interviewer impression management and point out both risks and chances in selling and smooth-talking towards applicants. (shrink)