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1

Xiong, Gang, Wenxian Yu, and Shuning Zhang. "Dynamic Singularity Spectrum Distribution of Sea Clutter." Fluctuation and Noise Letters 14, no. 01 (2014): 1550004. http://dx.doi.org/10.1142/s0219477515500042.

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The fractal and multifractal theory have provided new approaches for radar signal processing and target-detecting under the background of ocean. However, the related research mainly focuses on fractal dimension or multifractal spectrum (MFS) of sea clutter. In this paper, a new dynamic singularity analysis method of sea clutter using MFS distribution is developed, based on moving detrending analysis (DMA-MFSD). Theoretically, we introduce the time information by using cyclic auto-correlation of sea clutter. For transient correlation series, the instantaneous singularity spectrum based on multi
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2

Baker, Gregory, Russel E. Caflisch, and Michael Siegel. "Singularity formation during Rayleigh–Taylor instability." Journal of Fluid Mechanics 252 (July 1993): 51–78. http://dx.doi.org/10.1017/s0022112093003660.

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During the motion of a fluid interface undergoing Rayleigh-Taylor instability, vorticity is generated on the interface baronclinically. This vorticity is then subject to Kelvin-Helmholtz instability. For the related problem of evolution of a nearly flat vortex sheet without density stratification (and with viscosity and surface tension neglected), Kelvin-Helmholtz instability has been shown to lead to development of curvature singularities in the sheet. In this paper, a simple approximate theory is developed for Rayleigh-Taylor instability as a generalization of Moore's approximation for vorte
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3

Dubrulle, Bérengère. "Multi-Fractality, Universality and Singularity in Turbulence." Fractal and Fractional 6, no. 10 (2022): 613. http://dx.doi.org/10.3390/fractalfract6100613.

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In most geophysical flows, vortices (or eddies) of all sizes are observed. In 1941, Kolmogorov devised a theory to describe the hierarchical organization of such vortices via a homogeneous self-similar process. This theory correctly explains the universal power-law energy spectrum observed in all turbulent flows. Finer observations however prove that this picture is too simplistic, owing to intermittency of energy dissipation and high velocity derivatives. In this review, we discuss how such intermittency can be explained and fitted into a new picture of turbulence. We first discuss how the co
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4

Kaneko, Akira. "On the analyticity of the locus of singularity of real analytic solutions with minimal dimension." Nagoya Mathematical Journal 104 (December 1986): 63–84. http://dx.doi.org/10.1017/s0027763000022686.

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Let P(x, D) be a linear partial differential operator with real analytic coefficients and let C ⊂ Rn be a germ of closed subset, say at the origin. We say that C is (the locus of) an irremovable singularity of a real analytic solution u of P(x, D)u = 0 if u is defined outside C on a neighborhood Ω of 0 but cannot be extended to the whole neighborhood Ω even as a hyperfunction solution of P(x, D)u = 0. This usage of the word “singularity” is the same as the one for the analytic functions in complex analysis, and is different of the usual usage of “singularities of solutions” in the theory of pa
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5

Yau, Stephen T., and Letian Zhang. "An upper estimate of integral points in real simplices with an application to singularity theory." Mathematical Research Letters 13, no. 6 (2006): 911–21. http://dx.doi.org/10.4310/mrl.2006.v13.n6.a6.

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6

Klehn, Oliver. "Real and complex indices of vector fields on complete intersection curves with isolated singularity." Compositio Mathematica 141, no. 02 (2005): 525–40. http://dx.doi.org/10.1112/s0010437x04000958.

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Shalaby, Abouzeid M. "Effective action study of the 𝒫𝒯-symmetric (iϕ3)6−𝜖 theory and the Yang–Lee edge singularity". International Journal of Modern Physics A 34, № 17 (2019): 1950090. http://dx.doi.org/10.1142/s0217751x19500908.

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We use the effective potential method to study the [Formula: see text]-symmetric [Formula: see text] field theory in [Formula: see text] space–time dimensions. For [Formula: see text], we obtained the first two energy levels which are real as well as reflecting the stability of the spectrum. [Formula: see text]-symmetry breaking occurs at [Formula: see text] where the two levels merge and beyond this critical point they have complex values. Since there exist no results in the literature to compare with, we extracted the critical exponents of the theory to test the accuracy of our calculations
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8

Zhai, Liang-Jun, Huai-Yu Wang, and Guang-Yao Huang. "Scaling of the Berry Phase in the Yang-Lee Edge Singularity." Entropy 21, no. 9 (2019): 836. http://dx.doi.org/10.3390/e21090836.

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We study the scaling behavior of the Berry phase in the Yang-Lee edge singularity (YLES) of the non-Hermitian quantum system. A representative model, the one-dimensional quantum Ising model in an imaginary longitudinal field, is selected. For this model, the dissipative phase transition (DPT), accompanying a parity-time (PT) symmetry-breaking phase transition, occurs when the imaginary field changes through the YLES. We find that the real and imaginary parts of the complex Berry phase show anomalies around the critical points of YLES. In the overlapping critical regions constituted by the (0 +
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9

Loudon, Rodney. "One-dimensional hydrogen atom." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2185 (2016): 20150534. http://dx.doi.org/10.1098/rspa.2015.0534.

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The theory of the one-dimensional (1D) hydrogen atom was initiated by a 1952 paper but, after more than 60 years, it remains a topic of debate and controversy. The aim here is a critique of the current status of the theory and its relation to relevant experiments. A 1959 solution of the Schrödinger equation by the use of a cut-off at x = a to remove the singularity at the origin in the 1/| x | form of the potential is clarified and a mistaken approximation is identified. The singular atom is not found in the real world but the theory with cut-off has been applied successfully to a range of fou
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10

Sinclair, GB. "Stress singularities in classical elasticity—II: Asymptotic identification." Applied Mechanics Reviews 57, no. 5 (2004): 385–439. http://dx.doi.org/10.1115/1.1767846.

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This review article (Part II) is a sequel to an earlier one (Part I) that dealt with means of removal and interpretation of stress singularities in elasticity, as well as their asymptotic and numerical analysis. It reviews contributions to the literature that have actually effected asymptotic identifications of possible stress singularities for specific configurations. For the most part, attention is focused on 2D elastostatic configurations with constituent materials being homogeneous and isotropic. For such configurations, the following types of stress singularity are identified: power singu
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11

Fabris, Júlio C., Tales Augusto Oliveira Gomes, and Denis Campos Rodrigues. "Black Hole and Wormhole Solutions in Einstein–Maxwell Scalar Theory." Universe 8, no. 3 (2022): 151. http://dx.doi.org/10.3390/universe8030151.

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We classified and studied the charged black hole and wormhole solutions in the Einstein–Maxwell system in the presence of a massless, real scalar field. The possible existence of charged black holes in general scalar–tensor theories was studied in Bronnikov et al., 1999; black holes and wormholes exist for a negative kinetic term for the scalar field. Using a conformal transformation, the static, spherically symmetric possible structures in the minimal coupled system are described. Besides wormholes and naked singularities, only a restricted class of black hole exists, exhibiting a horizon wit
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12

NIÉGAWA, A. "SOFT PHOTON PRODUCTION FROM QUARK–GLUON PLASMA AND CANCELLATION OF MASS SINGULARITY." Modern Physics Letters A 10, no. 05 (1995): 379–89. http://dx.doi.org/10.1142/s0217732395000417.

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It has recently been reported that the production rate of soft real photons from a hot quark–gluon plasma exhibits unscreened mass singularities even within the hard-thermal-loop resummation scheme. It is shown that there exist another diagrams that cancel the singular contribution, in accordance with the general theorem of absence of mass singularities in thermal reaction rates, provided one sums over the set of all degenerate initial and final states. An interpretation of the relevant diagrams is given in terms of physical processes taking place in the quark–gluon plasma. The mechanism of ca
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13

Milu Acharya, Pravat Manjari Mohanty,. "Numerical Approximation of Integrals in Presence of Nearby Singularities." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 6 (2021): 2319–23. http://dx.doi.org/10.17762/turcomat.v12i6.4904.

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The quadrature formulas meant for the numerical approximation of integrals of one-dimensional real variables need to be modified for the sake of accuracy when a singularity is present in the proximity of the path of integration. The required corrective factor has been constructed and some existing quadrature rule has been applied with the corrective factor to obtain better accuracy.
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14

Bode, Benjamin. "Constructing links of isolated singularities of polynomials ℝ4 → ℝ2". Journal of Knot Theory and Its Ramifications 28, № 01 (2019): 1950009. http://dx.doi.org/10.1142/s0218216519500093.

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We show that if a braid [Formula: see text] can be parametrized in a certain way, then the previous work (B. Bode and M. R. Dennis, Constructing a polynomial whose nodal set is any prescribed knot or link, arXiv:1612.06328 ) can be extended to a construction of a polynomial [Formula: see text] with the closure of [Formula: see text] as the link of an isolated singularity of [Formula: see text], showing that the closure of [Formula: see text] is real algebraic. In particular, we prove that closures of squares of strictly homogeneous braids and certain lemniscate links are real algebraic. We als
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15

Kim, Chan-Gyun. "Existence, multiplicity and non-existence of positive solutions for two-point boundary-value problems with strong singularity." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140, no. 6 (2010): 1187–96. http://dx.doi.org/10.1017/s0308210509000948.

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We study the existence, multiplicity and non-existence of positive solutions for the singular two-point boundary-value problemswhere $\varphi_{p}(s)=|s|^{p-2}s$, $p>1$, λ is a non-negative real parameter and f ∈ C((0, 1) × [0,∞), (0,∞)). Here, f(t, u) may be singular at t = 0 and/or 1. To obtain the main results we use the global continuation theorem and fixed-point index theory.
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16

LUBBES, NIELS. "ALGORITHMS FOR SINGULARITIES AND REAL STRUCTURES OF WEAK DEL PEZZO SURFACES." Journal of Algebra and Its Applications 13, no. 05 (2014): 1350158. http://dx.doi.org/10.1142/s0219498813501582.

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In this paper, we consider the classification of singularities [P. Du Val, On isolated singularities of surfaces which do not affect the conditions of adjunction. I, II, III, Proc. Camb. Philos. Soc.30 (1934) 453–491] and real structures [C. T. C. Wall, Real forms of smooth del Pezzo surfaces, J. Reine Angew. Math.1987(375/376) (1987) 47–66, ISSN 0075-4102] of weak Del Pezzo surfaces from an algorithmic point of view. It is well-known that the singularities of weak Del Pezzo surfaces correspond to root subsystems. We present an algorithm which computes the classification of these root subsyste
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17

U¨berall, Herbert, P. P. Delsanto, J. D. Alemar, E. Rosario, and Anton Nagl. "Application of the Singularity Expansion Method to Elastic Wave Scattering." Applied Mechanics Reviews 43, no. 10 (1990): 235–49. http://dx.doi.org/10.1115/1.3119152.

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The singularity expansion method (SEM), established originally for electromagnetic-wave scattering by Carl Baum (Proc. IEEE 64, 1976, 1598), has later been applied also to acoustic scattering (H U¨berall, G C Gaunaurd, and J D Murphy, J Acoust Soc Am 72, 1982, 1014). In the present paper, we describe further applications of this method of analysis to the scattering of elastic waves from cavities or inclusions in solids. We first analyze the resonances that appear in the elastic-wave scattering amplitude, when plotted vs frequency, for evacuated or fluid-filled cylindrical and spherical cavitie
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18

Bahia, Carlos A. S., Mateus Broilo, and Emerson G. S. Luna. "Regge Phenomenology at LHC Energies." International Journal of Modern Physics: Conference Series 45 (January 2017): 1760064. http://dx.doi.org/10.1142/s2010194517600643.

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At high energies the Pomeron plays a crucial part in describing the soft interactions. In the light of LHC (Large Hadron Collider) data we perform a detailed analysis of proton-proton ([Formula: see text]) and antiproton-proton ([Formula: see text]) forward scattering data in order to determine the intercept and the slope of the soft Pomeron trajectory. This analysis is performed based on Regge theory using Born-level amplitudes. We investigate the role of the proton-Pomeron vertex form and of the nearest [Formula: see text]-channel singularity. We give predictions for the total cross section
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19

Olszok, Charis. "Comparative Literature, Companion Species and the Camel." Comparative Critical Studies 17, no. 1 (2020): 47–69. http://dx.doi.org/10.3366/ccs.2020.0343.

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This article brings together theories of both real and literary animals’ readability within Animal Studies and of untranslatability within comparative literature more broadly. Through a focus on Ibrāhīm al-Kūnī’s al-Tibr, in comparison with Mahasweta Devi's ‘Pterodactyl, Puran Sahay and Pirtha’, I read the central human-animal encounters through both their cultural specificity and the wider ‘animal tropes’ to which they point, situating them within local tradition and the flows of world literature. I then shift to an examination of how both texts, through interspecies encounter, theorize the v
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20

BAPTISTELLI, P. H., and M. MANOEL. "The classification of reversible-equivariant steady-state bifurcations on self-dual spaces." Mathematical Proceedings of the Cambridge Philosophical Society 145, no. 2 (2008): 379–401. http://dx.doi.org/10.1017/s0305004108001400.

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AbstractIn this paper we apply singularity theory methods to the classification of reversible-equivariant steady-state bifurcations depending on one real parameter. We assume that the group of symmetries and reversing symmetries is a compact Lie group Γ, and the equivalence is defined in order to preserve these symmetries and reversing symmetries in the normal forms and their unfoldings. When the representation of Γ is self-dual, we show that the classification can be reduced to the standard equivariant context. In this case, we establish a one-to-one association between the classification of
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21

Hoel, A. S. Aurora. "Technicity and the Virtual." Humanities 11, no. 6 (2022): 135. http://dx.doi.org/10.3390/h11060135.

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This article outlines an eco-operational theory of technical mediation that centers on Gilbert Simondon’s notion of technicity. The argument is that technical apparatuses do the work of concepts. However, the eco-operational viewpoint completely alters the status of concepts: what they are, where they are, and what they do. Technicity, as understood here, concerns the efficacious action and operational functioning of a broad range of apparatuses (including living bodies and technical machines), which are conceived as adaptive mediators. The focus on technicity provides a new notion of the virt
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22

Zhao, Da Xu, En Cang Di, Guo Zhong Shou, and Yu Qi Gu. "Kinematics of a 6-DOF Feeding and Unloading Manipulator." Key Engineering Materials 620 (August 2014): 490–95. http://dx.doi.org/10.4028/www.scientific.net/kem.620.490.

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In order to improve the efficiency of kinematics modeling in analyzing robots, this document used Lie groups and screw theory to describe rigid motion of the robot system, established a kinematic model of operating arm based on Product of Exponentials (POE) formula, and analyzed forward and inverse kinematics of chain topology structure robot, as well as several sub-inverse problem of inverse kinematics. A 6-DOF series-wound configuration loading and unloading manipulator has been used as an example, its kinematics equations are established by POE formula combined with screw theory, the specia
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23

Meniailava, Darya N., Maksim B. Shundalau, and Yong-Chang Han. "Transport properties of two-component radium – halogen dilute gas media." Journal of the Belarusian State University. Physics, no. 1 (February 8, 2022): 52–64. http://dx.doi.org/10.33581/2520-2243-2022-1-52-64.

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Based on state-of-the-art ab initio potential energy functions and classical kinetic theory, some transport properties (diffusion, viscosity and thermal conductivity coefficients) of two-component dilute gas media of radium and halogen (F, Cl, Br, I) atoms were predicted as functions of the translation temperature up to 3000 K. Calculations were performed by sequential analytical and (or) numerical computations of deflection angle, cross-section and collision integrals. A detailed methodology for the calculation of the transport properties using the Morse potential was developed. Some numerica
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24

Helmzadeh, Amin, and Shahram M. Kouhsari. "Erroneous branch parameters detection and correction in real time simulation of power systems." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 35, no. 5 (2016): 1656–71. http://dx.doi.org/10.1108/compel-11-2015-0388.

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Purpose The purpose of this paper is to propose an efficient method for detection and modification of erroneous branch parameters in real time power system simulators. The aim of the proposed method is to minimize the sum of squared errors (SSE) due to mismatches between simulation results and corresponding field measurements. Assuming that the network configuration is known, a limited number of erroneous branch parameters will be detected and corrected in an optimization procedure. Design/methodology/approach Proposing a novel formulation that utilizes network voltages and last modified admit
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25

Pratsiovytyi, Mykola, Olha Bondarenko, Sofiia Ratushniak, and Kateryna Franchuk. "Ǭ-representation of Real Numbers as a Generalization of Cantor Numeral Systems." Mohyla Mathematical Journal 5 (December 28, 2022): 9–18. http://dx.doi.org/10.18523/2617-7080520229-18.

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We consider generalization of Cantor numeral system, which is determined by the sequence of bases (sn), 1 < sn ∈ N, and the sequence of alphabets An = {0, 1, ..., sn − 1}:[0; 1] ∋ x = ∞∑ n=1 αn/s1s2...sn, αn ∈ An,the so-called Ǭ-representation. It is defined by an infinite “matrix” ||qik||, where i ∈ Ai, k ∈ N, having the properties0 < qik < 1, mk ∑ i=0 qik = 1, k ∈ N, ∞∏ n=1 max i {qik} = 0,namely[0; 1] ∋ x = ai11 + ∞∑ k=2 [aikk k−1 ∏ j=1 qij (x)j ] ≡ Δi1i2...ik..., where ainn = in−1 ∑ j=0 qjn, in ∈ An, n ∈ N.The applications of this representation of numbers in the metric theory of
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26

U¨berall, Herbert, Alain Ge´rard, Arde´shir Guran, et al. "Acoustic Scattering Resonances: Relation to External and Internal Surface Waves." Applied Mechanics Reviews 49, no. 10S (1996): S63—S71. http://dx.doi.org/10.1115/1.3101979.

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The resonance scattering theory (RST) and the singularity expansion method (SEM) are both based on the complex-frequency poles of the scattering amplitude in the scattering of acoustic, elastic, or electromagnetic waves from elastic or impenetrable objects, or from cavities. These poles, situated off the real frequency axis at locations with negative imaginary parts, are found to yield, at the real frequencies of the experiments, prominent resonances for acoustic and elastic-wave scattering from elastic objects as discussed in our earlier review (U¨berall et al, Appl Mech Rev43(10), 1990, 235)
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27

Leib, S. J. "Nonlinear evolution of subsonic and supersonic disturbances on a compressible free shear layer." Journal of Fluid Mechanics 224 (March 1991): 551–78. http://dx.doi.org/10.1017/s0022112091001878.

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We consider the effects of a nonlinear–non-equilibrium–viscous critical layer on the spatial evolution of subsonic and supersonic instability modes on a compressible free shear layer. It is shown that the instability wave amplitude is governed by an integro-differential equation with cubic-type nonlinearity. Numerical and asymptotic solutions to this equation show that the amplitude either ends in a singularity at a finite downstream distance or reaches an equilibrium value, depending on the Prandtl number, viscosity law, viscous parameter and a real parameter which is determined by the linear
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28

ABRAHAM, D. B., and P. J. UPTON. "SUSCEPTIBILITY SINGULARITIES AT FIRST-ORDER PHASE TRANSITIONS." International Journal of Modern Physics C 03, no. 05 (1992): 1071–82. http://dx.doi.org/10.1142/s0129183192000701.

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Problems associated with analyticity of thermodynamic functions close to first-order phase transitions are briefly reviewed. The bubble model for correlation functions is then applied to planar Ising-like models at subcritical temperatures (T<Tc) with a bulk magnetic field h. The fluctuation sum is used to calculate the susceptibility χ(h) from the bubble correlation function. We show that χ(h), calculated this way, must contain an essential singularity at h=0 i.e. at the first-order phase boundary. This has important implications to metastability, where we demonstrate that if the ensemble
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29

Lipiński, Kamil. "Obraz przestrzeni dowolnej według Gilles’a Deleuze’a." Przestrzenie Teorii, no. 31 (December 6, 2019): 262–70. http://dx.doi.org/10.14746/pt.2019.31.14.

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The subject matter of the article is Gilles Deleuze’s considerations on the concept of “any-space whatever” and its application in the cinema and the theater. This space is an outcome of the sensorimotor crisis as the development of Henri Bergson’s conception of duration to determine the potential transformations of modern cinema in the post-war period. It is expressed by a potential singularity that finds its locus in pure optical and sound situations. This conception reveals the correlation between the real and virtual connections defined by a genetic sign which relies upon differentiation.
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Nguyen, Huong Thu, and Long The Nguyen. "Fingerprints Classification through Image Analysis and Machine Learning Method." Algorithms 12, no. 11 (2019): 241. http://dx.doi.org/10.3390/a12110241.

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The system that automatically identifies the anthropometric fingerprint is one of the systems that interact directly with the user, which every day will be provided with a diverse database. This requires the system to be optimized to handle the process to meet the needs of users such as fast processing time, almost absolute accuracy, no errors in the real process. Therefore, in this paper, we propose the application of machine learning methods to develop fingerprint classification algorithms based on the singularity feature. The goal of the paper is to reduce the number of comparisons in autom
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Znojil, Miloslav. "Quasi-Hermitian Formulation of Quantum Mechanics Using Two Conjugate Schrödinger Equations." Axioms 12, no. 7 (2023): 644. http://dx.doi.org/10.3390/axioms12070644.

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To the existing list of alternative formulations of quantum mechanics, a new version of the non-Hermitian interaction picture is added. What is new is that, in contrast to the more conventional non-Hermitian model-building recipes, the primary information about the observable phenomena is provided not only by the Hamiltonian but also by an additional operator with a real spectrum (say, R(t)) representing another observable. In the language of physics, the information carried by R(t)≠R†(t) opens the possibility of reaching the exceptional-point degeneracy of the real eigenvalues, i.e., a specif
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Yuan, Mengting, Wenguang Luo, Hongli Lan, and Yongxin Qin. "Research on Multifractal Characteristics of Vehicle Driving Cycles." Machines 11, no. 4 (2023): 423. http://dx.doi.org/10.3390/machines11040423.

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Vehicle driving cycles have complex characteristics, but there are few publicly reported methods for their quantitative characterization. This paper innovatively investigates their multifractal characteristics using the fractal theory to characterize their complex properties, laying the foundation for applications such as vehicle driving cycle feature identification, vehicle energy management strategies (EMS), and so on. To explore the scale-invariance of the vehicle driving cycles, the four vehicle driving cycles were analyzed using the Multifractal Detrended Fluctuation Analysis (MF-DFA) met
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Munk, Anders Kristian, and Sebastian Abrahamsson. "Empiricist Interventions: Strategy and Tactics on the Ontopolitical Battlefield." Science & Technology Studies 25, no. 1 (2012): 52–70. http://dx.doi.org/10.23987/sts.55281.

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Recent papers by prominent scholars in science and technology studies (notably John Law and Bruno Latour) have crystallized a fundamental disagreement about the scope and purpose of intervention in actor-network theory or what we here choose to bracket as empirical philosophy. While the precept of agnostic description is taken as a given, the desired effects of such descriptions are highly debated: Is the goal to interfere with the singularity of the real through the enactment of multiple and possibly conflicting ontologies? Or is it (also) to craft new and comprehensive common worlds supporte
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Seneviratne, Chaturika Priyadarshani, and Ashan Lester Martino. "Budgeting as practice and knowing in action: experimenting with Bourdieu's theory of practice: an empirical evidence from a public university." Asian Journal of Accounting Research 6, no. 3 (2021): 309–23. http://dx.doi.org/10.1108/ajar-08-2020-0075.

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PurposeThe present study aims to explore how various doings, strategic actions and power relations stemming from internal agents are instrumental in (re)constituting the different forms and meanings of budgeting in a specific field.Design/methodology/approachThe paper uses a single-case study method based on a Sri Lankan public university. Data are collected using interviews, documentary evidence and observations.FindingsThe empirical evidence suggested that internal agents are crucial, and they are the producers of budgetary practice as they possess practical knowledge and power relations in
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Khudayarov, Bakhtiyar, and Fozilzhon Turaev. "Numerical simulation of a viscoelastic pipeline vibration under pulsating fluid flow." Multidiscipline Modeling in Materials and Structures 18, no. 2 (2022): 219–37. http://dx.doi.org/10.1108/mmms-02-2022-0015.

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PurposeThe purpose of this study is to create a mathematical model, a numerical algorithm and a computer program for studying the vibration of composite pipelines based on the theory of beams used in the oil and gas industry, agriculture and water management, housing and communal services and other areas.Design/methodology/approachA mathematical model of vibration of a viscoelastic pipeline based on the theory of beams with a pulsating fluid flowing through it was developed. Using the Bubnov-Galerkin method, based on the polynomial approximation of deflections, the problem is reduced to the st
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Khudayarov, B. A. "Computational Experiments to Evaluate the Approaches to the Modeling of Viscoelastic Plates Motion Based on Various Theories." Mechanical Engineering and Computer Science, no. 9 (December 2, 2018): 15–33. http://dx.doi.org/10.24108/0918.0001412.

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Mathematical and computer modeling of the flutter of elements and units of the aircraft design is an actual scientific problem; its study is stimulated by the failure of aircraft elements, parts of space and jet engines. In view of the complexity of the flutter phenomenon of aircraft elements, simplifying assumptions are used in many studies. However, these assumptions, as a rule, turn out to be so restrictive that the mathematical model ceases to reflect the real conditions with sufficient accuracy. Therefore, results of theoretical and experimental studies are in bad agreement.At present, th
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BALADI, V., S. MARMI, and D. SAUZIN. "Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps." Ergodic Theory and Dynamical Systems 34, no. 3 (2013): 777–800. http://dx.doi.org/10.1017/etds.2012.161.

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AbstractFor a piecewise expanding unimodal interval map$f$with unique absolutely continuous invariant probability measure$\mu $, a perturbation$X$, and an observable$\varphi $, the susceptibility function is$\Psi _\varphi (z)= \sum _{k=0}^\infty z^k \int X(x) \varphi '( f^k)(x) (f^k)'(x) \, d\mu $. Combining previous results [V. Baladi, On the susceptibility function of piecewise expanding interval maps.Comm. Math. Phys.275(2007), 839–859; V. Baladi and D. Smania, Linear response for piecewise expanding unimodal maps.Nonlinearity21(2008), 677–711] (deduced from spectral properties of Ruelle tr
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Barca, Gabriele, Eleonora Giovannetti, and Giovanni Montani. "An Overview on the Nature of the Bounce in LQC and PQM." Universe 7, no. 9 (2021): 327. http://dx.doi.org/10.3390/universe7090327.

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We present a review on some of the basic aspects concerning quantum cosmology in the presence of cut-off physics as it has emerged in the literature during the last fifteen years. We first analyze how the Wheeler–DeWitt equation describes the quantum Universe dynamics, when a pure metric approach is concerned, showing how, in general, the primordial singularity is not removed by the quantum effects. We then analyze the main implications of applying the loop quantum gravity prescriptions to the minisuperspace model, i.e., we discuss the basic features of the so-called loop quantum cosmology. Fo
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Jeong, Jae-Tack, and H. K. Moffatt. "Free-surface cusps associated with flow at low Reynolds number." Journal of Fluid Mechanics 241 (August 1992): 1–22. http://dx.doi.org/10.1017/s0022112092001927.

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When two cylinders are counter-rotated at low Reynolds number about parallel horizontal axes below the free surface of a viscous fluid, the rotation being such as to induce convergence of the flow on the free surface, then above a certain critical angular velocity Ωc, the free surface dips downwards and a cusp forms. This paper provides an analysis of the flow in the neighbourhood of the cusp, via an idealized problem which is solved completely: the cylinders are represented by a vortex dipole and the solution is obtained by complex variable techniques. Surface tension effects are included, bu
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Ras, Verena, Gerrit Botha, Shaun Aron, et al. "Using a multiple-delivery-mode training approach to develop local capacity and infrastructure for advanced bioinformatics in Africa." PLOS Computational Biology 17, no. 2 (2021): e1008640. http://dx.doi.org/10.1371/journal.pcbi.1008640.

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With more microbiome studies being conducted by African-based research groups, there is an increasing demand for knowledge and skills in the design and analysis of microbiome studies and data. However, high-quality bioinformatics courses are often impeded by differences in computational environments, complicated software stacks, numerous dependencies, and versions of bioinformatics tools along with a lack of local computational infrastructure and expertise. To address this, H3ABioNet developed a 16S rRNA Microbiome Intermediate Bioinformatics Training course, extending its remote classroom mod
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Akmatov, A., A. Toktorbaev, and N. Zamirbek kyzy. "Applied Problems of Perturbation Theory." Bulletin of Science and Practice, no. 12 (December 15, 2022): 36–42. http://dx.doi.org/10.33619/2414-2948/85/04.

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In this paper, we study solutions to nonlinear singularly perturbed differential equations with initial conditions. Proving the asymptotic closeness of the solutions of the perturbed and unperturbed problems on the real axis is a top-priority task. But it doesn't always work out. For the first time in works in this direction, the concept of bistability of solutions was introduced. The definition of stability to the right and to the left is given. As well as definitions of bistability of solutions. Examples are given. If the solution is bistable, then it is always possible to show the asymptoti
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Berkowitz, Roger. "The Singularity and the Human Condition." Philosophy Today 62, no. 2 (2018): 337–55. http://dx.doi.org/10.5840/philtoday2018522214.

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Hannah Arendt's The Human Condition is frequently read as offering a “theory” of what it means to be human. But the bite of Arendt’s book is to think through the transformation of the human condition in the modern age. She argues that the rise of a scientific worldview fundamentally alters the earthly and worldly conditions in which human beings live. Since humans are conditioned beings, the change from our pre-modern subjection to fate to our modern human capacity to create a humanly built world threatens a fundamental shift in human being. The transformation Arendt describes is the loss of o
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NAKAZATO, HIROMICHI, MIKIO NAMIKI, and SAVERIO PASCAZIO. "TEMPORAL BEHAVIOR OF QUANTUM MECHANICAL SYSTEMS." International Journal of Modern Physics B 10, no. 03 (1996): 247–95. http://dx.doi.org/10.1142/s0217979296000118.

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The temporal behavior of quantum mechanical systems is reviewed. We mainly focus our attention on the time development of the so-called “survival” probability of those systems that are initially prepared in eigenstates of the unperturbed Hamiltonian, by assuming that the latter has a continuous spectrum. The exponential decay of the survival probability, familiar, for example, in radioactive decay phenomena, is representative of a purely probabilistic character of the system under consideration and is naturally expected to lead to a master equation. This behavior, however, can be found only at
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Peterson, Christopher. "Seuss and the Swerve of Singularity." Comparative Literature 71, no. 3 (2019): 298–313. http://dx.doi.org/10.1215/00104124-7546298.

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Abstract This article explores the unstable distinction between “who” and “what” in Seuss’s Horton Hears a Who! The story’s moral that “a person’s a person no matter how small” has often been read as atoning for the racist cartoons that Geisel drew of the Japanese during World War II. Seussian pedagogy teaches us to hear all persons as whos rather than whats or things. Yet this essay argues that all persons are also things. While this thingliness remains unequally distributed thanks to persistent sociopolitical hierarchies, it also calls on us to think about ethics and politics differently. Di
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Gu, Mengqi, and Guo-Ping Jiang. "On the Controllability of Discrete-Time Leader-Follower Multiagent Systems with Two-Time-Scale and Heterogeneous Features." Mathematical Problems in Engineering 2021 (March 20, 2021): 1–13. http://dx.doi.org/10.1155/2021/8893051.

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This paper investigates the controllability of discrete-time leader-follower multiagent systems (MASs) with two-time-scale and heterogeneous features, motivated by the fact that many real systems are operating in discrete-time. In this study, singularly perturbed difference systems are used to model the two-time-scale heterogeneous discrete-time MASs. To avoid the ill-posedness problem caused by the singular perturbation parameter when using the classical control theory to study the model, the singular perturbation method was first applied to decompose the system into two subsystems with slow-
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Barzilai, Maya. "“One Should Finally Learn How to Read This Breath”: Paul Celan and the Buber-Rosenzweig Bible." Comparative Literature 71, no. 4 (2019): 436–54. http://dx.doi.org/10.1215/00104124-7709613.

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Abstract This article examines Paul Celan’s use of the terms cola and breath-unit in his notes for the 1960 “Meridian” address. In the 1920s, Martin Buber and Franz Rosenzweig developed their “colometric translation” of the Bible, using the breath-unit to capture, in German, the spoken qualities of the Hebrew Bible by allowing the human breath to dictate line divisions. Celan repurposed the breath-unit for his post-Shoah poetics: it registered, for him, a further disruption of the Hebrew-German translational link, following the demise of the Jewish community of readers. Celan’s breath-unit bec
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Ng, Zhao F. "Mad Love: Surrealism and Soteriological Desire." Literature and Theology 34, no. 3 (2020): 363–85. http://dx.doi.org/10.1093/litthe/fraa011.

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Abstract This article proposes that a paradox of love is situated at the heart of the Surrealist project: love is characterised as both a problem and its solution, tied to a series of antinomies (absence/presence, subject/object, chance/necessity, singularity/variance, history/eternity) and the teleological horizon of their reconciliation. The sufferings attributed to love prompt a desire to overcome them that is characterised as an orientation toward salvation. With a specific focus on André Breton’s L’Amour fou (1937), love’s madness is read in relation to a posit of faith. Breton’s appropri
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Côté, Héloïse, and Denis Simard. "What is the Meaning of the Integration of the Cultural Dimension into Schools, According to the Official Discourse of the Province of Quebec?" Articles 43, no. 3 (2009): 327–50. http://dx.doi.org/10.7202/029702ar.

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Abstract Since 1992, Quebec’s Ministry of Education1 and Ministry of Culture and Communications have been creating programs designed to integrate a cultural dimension into schools – a process requiring partnerships between teachers and professionals in the cultural domain. This domain comprises the objects and practices pertaining to the realm of arts and aesthetics and the values which are associated with them, namely expressivity, subjectivity, emotions, sensitivity, singularity, imagination, creativity and feelings (Kerlan, 2004). What does this integration mean, according to Quebec’s offic
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Bryan, Jenny. "Philosophy." Greece and Rome 65, no. 2 (2018): 269–77. http://dx.doi.org/10.1017/s0017383518000220.

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Three recent volumes indicate a growing appreciation of the significance and complexity of Plato's account of mousikē in the Laws. Anastasia-Erasmia Peponi's edited work, Performance and Culture in Plato's Laws, collects fifteen diverse chapters by prominent scholars in Greek literature, philosophy, and culture to produce an immensely rewarding and original range of perspectives on Plato's treatment of performance and poetics in the Laws. As Peponi notes in her brief introduction, the complexity of the cultural background that Plato manipulates and appropriates in the Laws, as well as the intr
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Ellis, Susannah. "Messianic Fiction in Antoine Volodine's Nuclear Catastrophe Novel Minor Angels." Paragraph 42, no. 2 (2019): 223–37. http://dx.doi.org/10.3366/para.2019.0300.

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In Specters of Marx, Derrida suggests that a non-revolutionary — ‘spectral’ — Marxism could alleviate a contemporary crisis in imagining the future in the late twentieth century. This ‘presentist’ crisis results from the collapse of Communism and the alleged triumph of neoliberal democracy, and leaves a dubious choice between neoliberal consensus and potential totalitarianism. This article outlines Derrida's call to a messianic wait for the singularity of an always-arriving future-to-come, and suggests that it provides an entry into the post-nuclear universe of Antoine Volodine's Minor Angels,
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