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Journal articles on the topic 'Smalhus'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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1

Kirsanova, Eugenia N., and Michael G. Sadovsky. "Entropy Approach in the Analysis of Anisotropy of Digital Images." Open Systems & Information Dynamics 09, no. 03 (2002): 239–50. http://dx.doi.org/10.1023/a:1019704411382.

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Anisotropy is assumed to be the difference of a plane object observed in different dimensions. For digital images, anisotropy is determined in two ways. The first one is based on the comparison of mosaics bearing rectangular smalts developed in different (perpendicular, to be exact) directions. The comparison is provided through an intermediate mosaic called palette, that is the mosaic with the frequency of smalts equal to arithmetic mean of the frequency of smalts of compared mosaics. The latter is based on the calculation of the information capacity of the mosaics developed in different dire

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2

Hinkkanen, Aimo, Ilgiz R. Kayumov, and Diana M. Khammatova. "Dual Smale’s mean value conjecture." Proceedings of the American Mathematical Society 147, no. 12 (2019): 5227–37. http://dx.doi.org/10.1090/proc/14639.

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3

Gautschi, Ralf, Joel W. Robbin, and Dietmar A. Salamon. "Heegaard splittings and Morse-Smale flows." International Journal of Mathematics and Mathematical Sciences 2003, no. 56 (2003): 3539–72. http://dx.doi.org/10.1155/s0161171203210115.

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We describe three theorems which summarize what survives in three dimensions of Smale's proof of the higher-dimensional Poincaré conjecture. The proofs require Smale's cancellation lemma and a lemma asserting the existence of a2-gon. Such2-gons are the analogues in dimension two of Whitney disks in higher dimensions. They are also embedded lunes; an (immersed) lune is an index-one connecting orbit in the Lagrangian Floer homology determined by two embedded loops in a2-manifold.

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4

Lee, Sarah C., and Naomi L. Pollock. "Membrane proteins: is the future disc shaped?" Biochemical Society Transactions 44, no. 4 (2016): 1011–18. http://dx.doi.org/10.1042/bst20160015.

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The use of styrene maleic acid lipid particles (SMALPs) for the purification of membrane proteins (MPs) is a rapidly developing technology. The amphiphilic copolymer of styrene and maleic acid (SMA) disrupts biological membranes and can extract membrane proteins in nanodiscs of approximately 10 nm diameter. These discs contain SMA, protein and membrane lipids. There is evidence that MPs in SMALPs retain their native structures and functions, in some cases with enhanced thermal stability. In addition, the method is compatible with biological buffers and a wide variety of biophysical and structu

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5

Banks, John, and Valentina Dragan. "Smale’s Horseshoe Map via Ternary Numbers." SIAM Review 36, no. 2 (1994): 265–71. http://dx.doi.org/10.1137/1036056.

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6

Colombo, Giovanni, Michal Fečkan, and Barnabas M. Garay. "Inflated deterministic chaos and Smale's horseshoe." Journal of Difference Equations and Applications 18, no. 3 (2012): 471–88. http://dx.doi.org/10.1080/10236198.2010.510139.

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7

Armentano, Diego, and Michael Shub. "Smale’s Fundamental Theorem of Algebra Reconsidered." Foundations of Computational Mathematics 14, no. 1 (2013): 85–114. http://dx.doi.org/10.1007/s10208-013-9155-y.

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8

Cucker, Felipe. "Smale 17th Problem: Advances and Open Directions." New Zealand Journal of Mathematics 52 (September 19, 2021): 233–57. http://dx.doi.org/10.53733/92.

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9

Ng, T. W. "Smale's mean value conjecture for odd polynomials." Journal of the Australian Mathematical Society 75, no. 3 (2003): 409–12. http://dx.doi.org/10.1017/s1446788700008181.

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AbstractIn this paper, we shall show that the constant in Smale's mean value theorem can be reduced to two for a large class of polynomials which includes the odd polynomials with nonzero linear term.

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10

Vgnes, yvind. "Showing silence: David Small's Stitches." Studies in Comics 1, no. 2 (2010): 301–14. http://dx.doi.org/10.1386/stic.1.2.301_1.

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11

Crane, Edward. "Extremal Polynomials in Smale’s Mean Value Conjecture." Computational Methods and Function Theory 6, no. 1 (2006): 145–63. http://dx.doi.org/10.1007/bf03321121.

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12

Miles-Leighton, Hayley, and Kevin M. Pilgrim. "Smale’s Mean Value Conjecture and Complex Dynamics." Computational Methods and Function Theory 12, no. 2 (2012): 559–63. http://dx.doi.org/10.1007/bf03321844.

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13

Chi, Dong Pyo, Sung Kyu Choi, and Jong Suh Park. "Structurally stable flows." Bulletin of the Australian Mathematical Society 45, no. 1 (1992): 79–90. http://dx.doi.org/10.1017/s0004972700037035.

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We show that a C1-flow on a compact Riemannian manifold is structurally stable and topologically stable if and only if it satisfies Axiom A and the strong transversality condition. This improves Smale's conjecture for flows.

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14

LEFRANC, MARC, and PIERRE GLORIEUX. "TOPOLOGICAL ANALYSIS OF CHAOTIC SIGNALS FROM A CO2 LASER WITH MODULATED LOSSES." International Journal of Bifurcation and Chaos 03, no. 03 (1993): 643–50. http://dx.doi.org/10.1142/s0218127493000544.

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Unstable periodic orbits have been extracted from chaotic time series coming from a CO 2 laser with modulated losses. Topological analysis of their organization reveals that chaos in this laser occurs through the formation of a Smale’s horseshoe.

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15

Fujikawa, Ege, and Toshiyuki Sugawa. "Geometric function theory and Smale's mean value conjecture." Proceedings of the Japan Academy, Series A, Mathematical Sciences 82, no. 7 (2006): 97–100. http://dx.doi.org/10.3792/pjaa.82.97.

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16

Avendano, Martín, Verónica Martín-Molina та Jorge Ortigas-Galindo. "Solving Kepler’s equation via Smale’s $$\alpha $$ α -theory". Celestial Mechanics and Dynamical Astronomy 119, № 1 (2014): 27–44. http://dx.doi.org/10.1007/s10569-014-9545-8.

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17

Beltran, Carlos, and Luis Miguel Pardo. "On Smale's 17th Problem: A Probabilistic Positive Solution." Foundations of Computational Mathematics 8, no. 1 (2007): 1–43. http://dx.doi.org/10.1007/s10208-005-0211-0.

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18

Armentano, Diego, and Michael Shub. "Erratum to: Smale’s Fundamental Theorem of Algebra Reconsidered." Foundations of Computational Mathematics 14, no. 4 (2014): 861. http://dx.doi.org/10.1007/s10208-014-9211-2.

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19

Xinghua, Wang, Shen Guangxing, and Han Danfu. "Some remarks on Smale's “Algorithms for solving equations”." Acta Mathematica Sinica 8, no. 4 (1992): 337–48. http://dx.doi.org/10.1007/bf02583260.

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20

Ng, Tuen-Wai, and Yongquan Zhang. "Smale’s mean value conjecture for finite Blaschke products." Journal of Analysis 24, no. 2 (2016): 331–45. http://dx.doi.org/10.1007/s41478-016-0007-4.

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21

Beardon, A. F., D. Minda, and T. W. Ng. "Smale's Mean Value conjecture and the hyperbolic metric." Mathematische Annalen 322, no. 4 (2002): 623–32. http://dx.doi.org/10.1007/s002080000184.

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22

Tucker, Warwick. "A Rigorous ODE Solver and Smale’s 14th Problem." Foundations of Computational Mathematics 2, no. 1 (2002): 53–117. http://dx.doi.org/10.1007/s002080010018.

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23

Ahmed, Elsayed, and Ahmed Sadek Hegazi. "On discrete dynamical systems associated to games." Advances in Complex Systems 02, no. 04 (1999): 423–30. http://dx.doi.org/10.1142/s0219525999000217.

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Dynamical systems corresponding to continuous strategy games are introduced. The steady of the systems corresponding to continuous prisoner's dilemma, hawk-dove and rock-scissors-paper games are found and their stability are discussed. A discrete imitation equation is derived. Smale's payoff memory game formulation is generalized.

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24

Haynes, Jack W., and James W. Smith. "Competitiveness of Boll Weevils (Coleoptera: Curculionidae) Sterilized with Low Doses of Fractionated Irradiation." Journal of Entomological Science 27, no. 4 (1992): 421–26. http://dx.doi.org/10.18474/0749-8004-27.4.421.

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Male boll weevils, Anthonomus grandis Boheman, sterilized with nine fractionated doses totaling 48 gray (Gy) of irradiation successfully competed with normal untreated males for virgin females. The ratios of Smale:Nmale:Nfemale tested were 1:1:1, 5:1:1, 10:1:1, 20:1:1, and 40:1:1. We determined that Smales, collectively, at a 20:1 or 40:1 ratio of Smale:Nmale were 90.8–95.1% as competitive as Nmales. A 40:1:1 ratio of Smale:Nmale:Nfemale resulted in no matings between Nmales and Nfemales alone. There were an average of 1.8 matings when both Nmale and Smales mated with the Nfemale resulting in

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25

WIELER, SUSANA. "Smale spaces via inverse limits." Ergodic Theory and Dynamical Systems 34, no. 6 (2013): 2066–92. http://dx.doi.org/10.1017/etds.2013.19.

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AbstractA Smale space is a chaotic dynamical system with canonical coordinates of contracting and expanding directions. The basic sets for Smale’s Axiom $A$ systems are a key class of examples. We consider the special case of irreducible Smale spaces with zero-dimensional contracting directions, and characterize these as stationary inverse limits satisfying certain conditions.

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26

Hellwig, Nils, Oliver Peetz, Zainab Ahdash, et al. "Native mass spectrometry goes more native: investigation of membrane protein complexes directly from SMALPs." Chemical Communications 54, no. 97 (2018): 13702–5. http://dx.doi.org/10.1039/c8cc06284f.

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Other than more widely used methods, the use of styrene maleic acid copolymers allows the direct extraction of membrane proteins from the lipid bilayer into SMALPs keeping it in its native lipid surrounding.

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27

Pagett, Richard M. "Some Observations Upon the Distribution of Strontium in Four Species of Ophiuroids – Ophiocomina Nigra (Abildgaard), Ophiura Albida (Forbes), Ophiothrix Suensoni (Lütken) and Ophioderma Cinereum (Müller and Troschel)." Journal of the Marine Biological Association of the United Kingdom 65, no. 2 (1985): 293–303. http://dx.doi.org/10.1017/s0025315400050414.

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Strontium was shown to occur in marine organisms in the early part of the nineteenth century (Moretti, 1813; Vogel, 1914). However, since early detection methods have relied upon chemical separation, accurate quantitative determination of small amounts of strontium, has presented many difficulties due to the chemical similarity of strontium and calcium. During the last 30 years a number of relatively sensitive methods have been developed (Smales, 1951; Thompson & Chow, 1955; Bowen, 1956; Hummel & Smales, 1956; Odum, 1957b; Sugawara & Kawasaki, 1958; Culkin & Cox, 1966; Riley &a

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28

YANGSUNGKAP. "Roethke's Poetry as an Ecological Text: Fearful Small's Nudging." Literature and Environment 7, no. 1 (2008): 115–45. http://dx.doi.org/10.36063/asle.2008.7.1.006.

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29

HINKKANEN, AIMO, and ILGIZ KAYUMOV. "SMALE’S PROBLEM FOR CRITICAL POINTS ON CERTAIN TWO RAYS." Journal of the Australian Mathematical Society 88, no. 2 (2010): 183–91. http://dx.doi.org/10.1017/s1446788710000030.

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AbstractLet f be a polynomial of degree n≥2 with f(0)=0 and f′(0)=1. We prove that there is a critical point ζ of f with ∣f(ζ)/ζ∣≤1/2 provided that the critical points of f lie in the sector {reiθ:r>0,∣θ∣≤π/6}, and ∣f(ζ)/ζ∣<2/3 if they lie in the union of the two rays {1+re±iθ:r≥0}, where 0<θ≤π/2.

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30

Deren, Wang, and Zhao Fengguang. "The theory of Smale's point estimation and its applications." Journal of Computational and Applied Mathematics 60, no. 1-2 (1995): 253–69. http://dx.doi.org/10.1016/0377-0427(94)00095-i.

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31

Ignaciuk, Szymon, and Maciej Parol. "Kaplan classes of a certain family of functions." Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica 74, no. 2 (2020): 31. http://dx.doi.org/10.17951/a.2020.74.2.31-40.

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We give the complete characterization of members of Kaplan classes of products of power functions with all zeros symmetrically distributed in \(\mathbb{T} := \{z \in\mathbb{C} : |z| = 1\}\) and weakly monotonic sequence of powers. In this way we extend Sheil-Small’s theorem. We apply the obtained result to study univalence of antiderivative of these products of power functions.

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32

XU, XU, YI SONG, and STEPHEN P. BANKS. "ON THE DYNAMICAL BEHAVIOR OF CELLULAR AUTOMATA." International Journal of Bifurcation and Chaos 19, no. 04 (2009): 1147–56. http://dx.doi.org/10.1142/s021812740902355x.

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In this paper, we show that the mathematical classification of one-dimensional cellular automata given by Dubois–Violette and Rouet [1987] does not truly represent the different behaviors possible. In fact we show that many rules of their type O have totally different behavior. A better classification is based on Smale's basic sets and nonwandering points.

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33

Simon, Kailene S., Naomi L. Pollock, and Sarah C. Lee. "Membrane protein nanoparticles: the shape of things to come." Biochemical Society Transactions 46, no. 6 (2018): 1495–504. http://dx.doi.org/10.1042/bst20180139.

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The use of styrene–maleic acid (SMA) for the purification of a wide range of membrane proteins (MPs) from both prokaryotic and eukaryotic sources has begun to make an impact in the field of MP biology. This method is growing in popularity as a means to purify and thoroughly investigate the structure and function of MPs and biological membranes. The amphiphilic SMA copolymer can effectively extract MPs directly from a native lipid bilayer to form discs ∼10 nm in diameter. The resulting lipid particles, or styrene–maleic acid lipid particles (SMALPs), contain SMA, protein and membrane lipid. MPs

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34

Mosher, Lee. "Equivariant spectral decomposition for flows with a ℤ-action". Ergodic Theory and Dynamical Systems 9, № 2 (1989): 329–78. http://dx.doi.org/10.1017/s0143385700005009.

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AbstractGiven a manifold equipped with a free, properly discontinuous, cocompact ℤ-action, and a flow on which is ℤ-equivariant, we study the qualitative dynamics of . Under certain hypotheses on , we show that the chain recurrent set of has a decomposition which is the analogue, in the category of ℤ-equivariant flows, of Smale's spectral decomposition for recurrent sets of Axiom A flows.

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35

KIRIKI, SHIN. "THE PALIS AND TAKENS’ PROBLEM ON THE FIRST HOMOCLINIC TANGENCY INSIDE THE HORSESHOE." International Journal of Bifurcation and Chaos 06, no. 04 (1996): 737–44. http://dx.doi.org/10.1142/s0218127496000394.

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We introduce a general definition of first homoclinic tangency, and construct a one-parameter family of planar diffeomorphisms from Smale’s n-fold horseshoe diffeomorphism, which has the first homoclinic tangency that is a first bifurcation introduced by Palis and Takens. Moreover, the limit capacity of its maximal invariant set associated with this first bifurcation can be as small as is required.

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36

ARGYROS, IOANNIS K., та SANTHOSH GEORGE. "Extending the applicability of Newton’s method using Wang’s– Smale’s α–theory". Carpathian Journal of Mathematics 33, № 1 (2017): 27–33. http://dx.doi.org/10.37193/cjm.2017.01.03.

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We improve semilocal convergence results for Newton’s method by defining a more precise domain where the Newton iterate lies than in earlier studies using the Smale’s α– theory. These improvements are obtained under the same computational cost. Numerical examples are also presented in this study to show that the earlier results cannot apply but the new results can apply to solve equations.

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37

Kufel, Tadeusz, Sławomir Plaskacz, and Joanna Zwierzchowska. "Strong and Safe Nash Equilibrium in Some Repeated 3-Player Games." Przegląd Statystyczny 65, no. 3 (2019): 271–95. http://dx.doi.org/10.5604/01.3001.0014.0540.

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The paper examines an infinitely repeated 3-player extension of the Prisoner’s Dilemma game. We consider a 3-player game in the normal form with incomplete information, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage, players make their choices knowing only the average payoffs from previous stages of all the players. A strategy of a player in the repeated game is a function defined on the convex hull of the set of payoffs. Our aim is to construct a strong Nash equilibrium in the repeated game, i.e. a strategy profile

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38

Gulamhussein, Aiman A., Danyall Meah, Damian D. Soja, et al. "Examining the stability of membrane proteins within SMALPs." European Polymer Journal 112 (March 2019): 120–25. http://dx.doi.org/10.1016/j.eurpolymj.2018.12.008.

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39

Crane, Edward. "A bound for Smale's mean value conjecture for complex polynomials." Bulletin of the London Mathematical Society 39, no. 5 (2007): 781–91. http://dx.doi.org/10.1112/blms/bdm063.

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40

TYSON, JEREMY T. "COUNTEREXAMPLES TO TISCHLER'S STRONG FORM OF SMALE'S MEAN VALUE CONJECTURE." Bulletin of the London Mathematical Society 37, no. 01 (2005): 95–106. http://dx.doi.org/10.1112/s0024609304003613.

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41

Bshouty, Daoud, Erik Lundberg, and Allen Weitsman. "A solution to Sheil-Small’s harmonic mapping problem for polygons." Proceedings of the American Mathematical Society 143, no. 12 (2015): 5219–25. http://dx.doi.org/10.1090/proc/12454.

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42

Conte, Anthony, Ege Fujikawa, and Nikola Lakic. "Smale's mean value conjecture and the coefficients of univalent functions." Proceedings of the American Mathematical Society 135, no. 10 (2007): 3295–301. http://dx.doi.org/10.1090/s0002-9939-07-08861-2.

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43

Grines, V. Z., E. Ya Gurevich, V. S. Medvedev, and O. V. Pochinka. "An analog of Smale’s theorem for homeomorphisms with regular dynamics." Mathematical Notes 102, no. 3-4 (2017): 569–74. http://dx.doi.org/10.1134/s0001434617090292.

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44

Li, Chong, Jin-Hua Wang, and Jean-Pierre Dedieu. "Smale’s point estimate theory for Newton’s method on Lie groups." Journal of Complexity 25, no. 2 (2009): 128–51. http://dx.doi.org/10.1016/j.jco.2008.11.001.

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45

Adly, Samir, Huynh Van Ngai, and Van Vu Nguyen. "Newton's method for solving generalized equations: Kantorovich's and Smale's approaches." Journal of Mathematical Analysis and Applications 439, no. 1 (2016): 396–418. http://dx.doi.org/10.1016/j.jmaa.2016.02.047.

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46

Minowa, H. "Smale's horseshoe map in a Hamiltonian system around a separatrix." Zeitschrift f�r Physik B Condensed Matter 70, no. 1 (1988): 125–30. http://dx.doi.org/10.1007/bf01320548.

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47

Koikegami, Shigeru, and Takashi Yanagisawa. "Superconducting Gap of the Two-Dimensional d–p Model with SmallUd." Journal of the Physical Society of Japan 70, no. 12 (2001): 3499–502. http://dx.doi.org/10.1143/jpsj.70.3499.

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48

유현주. "Transforming the Past Trauma into Graphic Art in David Small’s Stitches." Journal of English Language and Literature 63, no. 3 (2017): 503–23. http://dx.doi.org/10.15794/jell.2017.63.3.006.

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49

Chowdhury, A. R., and P. K. Chanda. "On the Lie symmetry approach to Small's equation of nonlinear optics." Journal of Physics A: Mathematical and General 18, no. 3 (1985): L117—L121. http://dx.doi.org/10.1088/0305-4470/18/3/004.

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50

Shen, Weiping, та Chong Li. "Smale's α-theory for inexact Newton methods under the γ-condition". Journal of Mathematical Analysis and Applications 369, № 1 (2010): 29–42. http://dx.doi.org/10.1016/j.jmaa.2010.01.056.

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