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Journal articles on the topic 'Thin set'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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1

ALON, NOGA, EMANUELA FACHINI, and JÁNOS KÖRNER. "Locally Thin Set Families." Combinatorics, Probability and Computing 9, no. 6 (November 2000): 481–88. http://dx.doi.org/10.1017/s0963548300004521.

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A family of subsets of an n-set is k-locally thin if, for every k of its member sets, the ground set has at least one element contained in exactly 1 of them. We derive new asymptotic upper bounds for the maximum cardinality of locally thin set families for every even k. This improves on previous results of two of the authors with Monti.

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2

Kanatzidis, Mercouri G. "Quick-set thin films." Nature 428, no. 6980 (March 2004): 269–71. http://dx.doi.org/10.1038/428269a.

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3

Cholak, Peter, and Ludovic Patey. "Thin set theorems and cone avoidance." Transactions of the American Mathematical Society 373, no. 4 (January 7, 2020): 2743–73. http://dx.doi.org/10.1090/tran/7987.

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4

Ziemkiewicz, David, Karol Karpiński, and Sylwia Zielińska-Raczyńska. "Fractal Plasmons on Cantor Set Thin Film." Entropy 21, no. 12 (November 29, 2019): 1176. http://dx.doi.org/10.3390/e21121176.

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The propagation of surface plasmon–polaritons is investigated in a metallic, fractal-like structure based on Cantor set. The dynamic of plasmonic modes generating on the Cantor structure is discussed in the context of the setup geometry. The numerically obtained reflection spectra are analyzed with the box-counting method to obtain their dimension, which is shown to be dependent on the geometry of the plasmonic structure. The entropy of the structure is also calculated and shown to be proportional to the dimension. Presented analysis allows for extracting information about fractal plasmonic structure from the reflectance spectrum. Predictions regarding the experimental observation of discussed effects are presented.

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5

Spaepen, Frans. "Viewpoint set artificially layer thin films foreword." Scripta Metallurgica 20, no. 4 (April 1986): 441–42. http://dx.doi.org/10.1016/0036-9748(86)90233-4.

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6

DAGANI, RON. "New Milestones Set with Bulk, Thin-Film Superconductors." Chemical & Engineering News 67, no. 46 (November 13, 1989): 22–23. http://dx.doi.org/10.1021/cen-v067n046.p022.

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7

Rice, Brian. "The Thin Set Theorem for Pairs Implies DNR." Notre Dame Journal of Formal Logic 56, no. 4 (2015): 595–601. http://dx.doi.org/10.1215/00294527-3153606.

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8

FACHINI, EMANUELA, JÁNOS KÖRNER, and ANGELO MONTI. "Self-Similarity Bounds for Locally Thin Set Families." Combinatorics, Probability and Computing 10, no. 4 (July 2001): 309–15. http://dx.doi.org/10.1017/s0963548301004667.

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A family of subsets of an n-set is k-locally thin if, for every k-tuple of its members, the ground set has at least one element contained in exactly one of them. For k = 5 we derive a new exponential upper bound for the maximum size of these families. This implies the same bound for all odd values of k > 3. Our proof uses the graph entropy bounding technique to exploit a self-similarity in the structure of the hypergraph associated with such set families.

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9

Fachini, Emanuela, János Körner, and Angelo Monti. "A Better Bound for Locally Thin Set Families." Journal of Combinatorial Theory, Series A 95, no. 2 (August 2001): 209–18. http://dx.doi.org/10.1006/jcta.2000.3162.

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10

Dagani, R. "New milestones set with Bulk, thin-film superconductors." Chemical & Engineering News 67, no. 46 (November 13, 1989): 22–23. http://dx.doi.org/10.1145/71580.71581.

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11

Huang Zuxin, 黄祖鑫, 胡晓阳 Hu Xiaoyang, 周文超 Zhou Wenchao, and 田小强 Tian Xiaoqiang. "Development of thin film’s weak absorption testing set-up." High Power Laser and Particle Beams 25, s (2013): 13–18. http://dx.doi.org/10.3788/hplpb2013250s.0013.

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12

Ajtai, Miklós, Henryk Iwaniec, János Komlós, János Pintz, and Endre Szemerédi. "Construction of a Thin Set with small Fourier Coefficients." Bulletin of the London Mathematical Society 22, no. 6 (November 1990): 583–90. http://dx.doi.org/10.1112/blms/22.6.583.

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13

Freitas, P., and D. Krejcirik. "Location of the nodal set for thin curved tubes." Indiana University Mathematics Journal 57, no. 1 (2008): 343–76. http://dx.doi.org/10.1512/iumj.2008.57.3170.

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14

Quek, S. S., Y. Xiang, Y. W. Zhang, D. J. Srolovitz, and C. Lu. "Level set simulation of dislocation dynamics in thin films." Acta Materialia 54, no. 9 (May 2006): 2371–81. http://dx.doi.org/10.1016/j.actamat.2006.01.017.

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15

Jang, Gang-Won, Sandilya Kambampati, Hayoung Chung, and H. Alicia Kim. "Configuration optimization for thin structures using level set method." Structural and Multidisciplinary Optimization 59, no. 6 (March 28, 2019): 1881–93. http://dx.doi.org/10.1007/s00158-019-02246-2.

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16

Chen, Susan, Barry Merriman, Myungjoo Kang, Russel E. Caflisch, Christian Ratsch, Li-Tien Cheng, Mark Gyure, Ronald P. Fedkiw, Christopher Anderson, and Stanley Osher. "A Level Set Method for Thin Film Epitaxial Growth." Journal of Computational Physics 167, no. 2 (March 2001): 475–500. http://dx.doi.org/10.1006/jcph.2000.6689.

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17

Hare, Kathryn E. "Union results for thin sets." Glasgow Mathematical Journal 32, no. 2 (May 1990): 241–54. http://dx.doi.org/10.1017/s0017089500009290.

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Let G be a compact abelian group and let Γ be its (discrete) dual group. Denote by M(G) the space of complex regular Borel measures on G.Let E be a subset of Γ. Then:(i) E is called a Rajchman set if, for all μ ∈M(G) implies (ii) E is called a set of continuity if given ε > 0 there exists δ > 0 such that if and(iii) E is called a parallelepiped of dimension N if |E| = 2N and there are two-element sets . (The multiplication indicated here is the group operation.)

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18

Park, Won-Kwang, and Dominique Lesselier. "Reconstruction of thin electromagnetic inclusions by a level-set method." Inverse Problems 25, no. 8 (July 28, 2009): 085010. http://dx.doi.org/10.1088/0266-5611/25/8/085010.

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19

Kumchev, A., and D. I. Tolev. "An additive problem with prime numbers from a thin set." Acta Mathematica Hungarica 76, no. 1-2 (July 1997): 31–43. http://dx.doi.org/10.1007/bf02907050.

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20

DONNELLY, JOHN. "THE RUINOUS-THIN RELATIONSHIP FOR THREE ELEMENT SETS." International Journal of Algebra and Computation 18, no. 03 (May 2008): 407–19. http://dx.doi.org/10.1142/s0218196708004500.

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Richard Thompson's group F is nonamenable if and only if there exists a ruinous set. It is known that no three element set is ruinous. Here we explicitly construct a family of thin sets for any three element set each of whose trees has three carets. We then show where this construction fails when each of the trees has four or more carets.

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21

Chiadò Piat, V., and S. A. Nazarov. "Steklov spectral problems in a set with a thin toroidal hole." Partial Differential Equations in Applied Mathematics 1 (September 2020): 100007. http://dx.doi.org/10.1016/j.padiff.2020.100007.

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22

Palonen, V., K. Mizohata, T. Nissinen, and J. Räisänen. "External beam IBA set-up with large-area thin Si3N4 window." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 380 (August 2016): 11–14. http://dx.doi.org/10.1016/j.nimb.2016.04.047.

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23

Wang, Fuming, Chengchao Guo, and Yang Gao. "Formation of a Polymer Thin Wall Using the Level Set Method." International Journal of Geomechanics 14, no. 5 (October 2014): 04014021. http://dx.doi.org/10.1061/(asce)gm.1943-5622.0000363.

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24

Poran, Shachaf, Manel Molina-Ruiz, Anne Gérardin, Aviad Frydman, and Olivier Bourgeois. "Specific heat measurement set-up for quench condensed thin superconducting films." Review of Scientific Instruments 85, no. 5 (May 2014): 053903. http://dx.doi.org/10.1063/1.4875590.

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25

Yoo, In Kyeong, Myoung-Jae Lee, David H. Seo, and Sung-Jin Kim. "Interpretation of set and reset switching in nickel oxide thin films." Applied Physics Letters 104, no. 22 (June 2, 2014): 222902. http://dx.doi.org/10.1063/1.4880796.

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26

Monin, J., H. Sahsah, and O. Brevet-Philibert. "A novel ellipsometric set up for high precision thin films measurements." Journal of Non-Crystalline Solids 187 (July 1995): 129–33. http://dx.doi.org/10.1016/0022-3093(95)00124-7.

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27

Hjorth, Greg. "Thin equivalence relations and effective decompositions." Journal of Symbolic Logic 58, no. 4 (December 1993): 1153–64. http://dx.doi.org/10.2307/2275133.

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AbstractLet E be a equivalence relation for which there does not exist a perfect set of inequivalent reals. If 0* exists or if V is a forcing extension of L, then there is a good well-ordering of the equivalence classes.

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28

De Koninck, Jean-Marie, and Nicolas Doyon. "On a thin set of integers involving the largest prime factor function." International Journal of Mathematics and Mathematical Sciences 2003, no. 19 (2003): 1185–92. http://dx.doi.org/10.1155/s016117120320418x.

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For each integern≥2, letP(n)denote its largest prime factor. LetS:={n≥2:ndoes not divideP(n)!}andS(x):=#{n≤x:n∈S}. Erdős (1991) conjectured thatSis a set of zero density. This was proved by Kastanas (1994) who established thatS(x)=O(x/logx). Recently, Akbik (1999) proved thatS(x)=O(x exp{−(1/4)logx}). In this paper, we show thatS(x)=x exp{−(2+o(1))×log x log log x}. We also investigate small and large gaps among the elements ofSand state some conjectures.

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29

BIRYUKOV, PETER, and VALERY MISHKIN. "SET IDEALS WITH ISOMORPHIC SYMMETRY GROUPS." Bulletin of the London Mathematical Society 34, no. 1 (January 2002): 37–45. http://dx.doi.org/10.1112/s0024609301008724.

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A criterion of isomorphism for symmetry groups of set ideals is provided in terms of ideal quotients and cardinal invariants. Furthermore, set ideals with complete symmetry group are characterized. They form a wide class, comprising, for example, all uniform dense ideals and the ideals of ‘thin’ sets in separable metric spaces. If the symmetry group of a set ideal is not complete, then its outer automorphism group is shown to be cyclic of order 2.

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30

Simon, Dan. "Thin empirics." International Journal of Evidence & Proof 23, no. 1-2 (January 17, 2019): 82–89. http://dx.doi.org/10.1177/1365712718815350.

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In the Target Article Relative Plausibility and Its Critics, Ron Allen and Michael Pardo set out to make the empirical claim that Relative Plausibility provides the best account of juridical proof. While I tend to agree with this conclusion, the article suffers from notable weaknesses. Allen and Pardo do not define a unit of analysis, they offer no testable hypotheses, and they present no data–all of which render the empirical claim befuddling. The empirical claim cannot be salvaged by the recruitment of the Story Model. For all its brilliance, the Story Model provides too narrow a foundation to sustain a general model of legal fact-finding. Allen and Pardo’s reliance on holistic processing stands on sounder scientific grounds, but the casual referencing cannot amount to empirical proof. More importantly, Allen and Pardo refrain from reckoning with the implications of holism, and thus ignore both the promise and perils of the cognitive process they espouse. The experimental paradigm of Coherence Based Reasoning reveals a number of such implications. Notably, holism cannot deliver the objectivity and accuracy that Allen and Pardo seem to ascribe to it. Moreover, holistic processing entails a distortion of the evidence, which could lead to dismissing evidence that would otherwise raise a valid doubt, and inflate a hesitant fact-finder’s confidence up to a firm conviction in the defendant’s guilt. Holism also entails vast interconnectivity among the evidence items, which can trigger non-normative inferences and enable extra-evidential information to alter the fact-finder’s perception of correctly-admitted evidence.

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31

LI, YANZHE, JINGRU ZHANG, and JIAOJIAO YANG. "FAT AND THIN MORAN SETS FOR DOUBLING MEASURES." Fractals 27, no. 03 (May 2019): 1950035. http://dx.doi.org/10.1142/s0218348x1950035x.

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32

Fernández-Real, Xavier, and Yash Jhaveri. "On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem." Analysis & PDE 14, no. 5 (August 22, 2021): 1599–669. http://dx.doi.org/10.2140/apde.2021.14.1599.

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33

Tian-Kunze, X., L. Kaleschke, N. Maaß, M. Mäkynen, N. Serra, M. Drusch, and T. Krumpen. "SMOS-derived thin sea ice thickness: algorithm baseline, product specifications and initial verification." Cryosphere 8, no. 3 (May 27, 2014): 997–1018. http://dx.doi.org/10.5194/tc-8-997-2014.

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Abstract. Following the launch of ESA's Soil Moisture and Ocean Salinity (SMOS) mission, it has been shown that brightness temperatures at a low microwave frequency of 1.4 GHz (L-band) are sensitive to sea ice properties. In the first demonstration study, sea ice thickness up to 50 cm has been derived using a semi-empirical algorithm with constant tie-points. Here, we introduce a novel iterative retrieval algorithm that is based on a thermodynamic sea ice model and a three-layer radiative transfer model, which explicitly takes variations of ice temperature and ice salinity into account. In addition, ice thickness variations within the SMOS spatial resolution are considered through a statistical thickness distribution function derived from high-resolution ice thickness measurements from NASA's Operation IceBridge campaign. This new algorithm has been used for the continuous operational production of a SMOS-based sea ice thickness data set from 2010 on. The data set is compared to and validated with estimates from assimilation systems, remote sensing data, and airborne electromagnetic sounding data. The comparisons show that the new retrieval algorithm has a considerably better agreement with the validation data and delivers a more realistic Arctic-wide ice thickness distribution than the algorithm used in the previous study (Kaleschke et al., 2012).

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34

BROUGHAN, KEVIN A., and QIZHI ZHOU. "FLAT PRIMES AND THIN PRIMES." Bulletin of the Australian Mathematical Society 82, no. 2 (October 2009): 282–92. http://dx.doi.org/10.1017/s0004972710000067.

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AbstractA number is called upper (lower) flat if its shift by +1 ( −1) is a power of 2 times a squarefree number. If the squarefree number is 1 or a single odd prime then the original number is called upper (lower) thin. Upper flat numbers which are primes arise in the study of multi-perfect numbers. Here we show that the lower or upper flat primes have asymptotic density relative to that of the full set of primes given by twice Artin’s constant, that more than 53% of the primes are both lower and upper flat, and that the series of reciprocals of the lower or the upper thin primes converges.

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35

Vermorel, Romain, Nicolas Vandenberghe, and Emmanuel Villermaux. "Impacts on thin elastic sheets." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2103 (November 25, 2008): 823–42. http://dx.doi.org/10.1098/rspa.2008.0297.

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We study transverse impacts of rigid objects on a free elastic membrane, using thin circular sheets of natural rubber as experimental models. After impact, two distinct axisymmetric waves propagate in and on the sheet. First, a tensile wave travels at sound speed leaving behind the wavefront a stretched domain and then a transverse wave propagates on the stretched area at a lower speed. In the stretched area, geometrical confinement induces compressive circumferential stresses leading to a buckling instability, giving rise to radial wrinkles. We report on a set of experiments and theoretical remarks on the conditions of occurrence of these wrinkles, their dynamics and wavelength.

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36

Khoshbinfar, Soheil. "Energy gain of a thin DT shell target in inertial confinement fusion." International Journal of Modern Physics E 23, no. 11 (November 2014): 1450066. http://dx.doi.org/10.1142/s0218301314500669.

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Estimation of maximum possible energy gain for a given energy of driver has always become a key point in inertial confinement fusion. It has direct impact on the cost of produced electricity. Here, we employ a hydrodynamics model to assess energy gain in the case of a symmetrical hydrodynamics implosion where a narrow fuel shell consisting of deuterium–tritium (DT), can experience an isentropic compression in a self-similar regime. Introducing a set of six state parameters {H hs , T hs , U imp , αc, ξhs and μhs}, the final fuel state close to ignition is fully described. It enables us to calculate energy gain curves for specific set of these state variables. The envelope of the energy gain family curves provide a limiting gain curve [Formula: see text]. Next, we took into account the inertial of cold surrounding fuel on the ignition process. It changes the limiting gain curve slope to 0.41. Finally, the analytical model results assessed and validated using numerical simulation code.

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37

Peinke, J., J. Parisi, B. Röhricht, and O. E. Rössler. "Instability of the Mandelbrot Set." Zeitschrift für Naturforschung A 42, no. 3 (March 1, 1987): 263–66. http://dx.doi.org/10.1515/zna-1987-0309.

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Numerical evidence is presented that perturbations away from analyticity change the qualitative structure of the Mandelbrot set. The changes affect both the form and the surface structure. Most characteristically, the infinitely thin “necks” disappear. At at least one place, the surface structure becomes smooth.

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38

da Silva-Oliveira, C. I., D. Martinez-Martinez, F. M. Couto, L. Cunha, and F. Macedo. "Evaluation of thermal properties of thin films by IR radiometry using a comprehensive set of Zr-O-N thin films." Applied Surface Science 498 (December 2019): 143666. http://dx.doi.org/10.1016/j.apsusc.2019.143666.

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39

Bhattacharjee, Y. "Orbiting MAVEN Mission Set to Trace a Planet's History in Thin Martian Air." Science 342, no. 6159 (November 7, 2013): 681. http://dx.doi.org/10.1126/science.342.6159.681.

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40

Chou, Kai-Seng, and Shi-Zhong Du. "Estimates on the Hausdorff Dimension of the Rupture Set of a Thin Film." SIAM Journal on Mathematical Analysis 40, no. 2 (January 2008): 790–823. http://dx.doi.org/10.1137/070685348.

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41

Dai, Yuxia, Chun Wei, and Shengyou Wen. "Some geometric properties of sets defined by digit restrictions." International Journal of Number Theory 13, no. 01 (November 16, 2016): 65–75. http://dx.doi.org/10.1142/s1793042117500051.

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Let [Formula: see text] be a set defined by digit restrictions. In this paper, we determine the Assouad dimension of [Formula: see text]. As an application, we construct a set of different Hausdorff, lower box, upper box, and Assouad dimensions. Also, we prove that the set [Formula: see text] is either quasisymmetrically thick or thin. In addition, we show that [Formula: see text] is quasisymmetrically minimal provided that [Formula: see text].

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42

Borkar, Hitesh, Atul Thakre, Sunil S. Kushvaha, R. P. Aloysius, and Ashok Kumar. "Light assisted irreversible resistive switching in ultra thin hafnium oxide." RSC Advances 5, no. 44 (2015): 35046–51. http://dx.doi.org/10.1039/c5ra03352g.

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A small amount of illumination of visible light on ultra thin films (∼5 nm) hafnium oxide demonstrated giant irreversible resistive switching, changed band off set and permanently developed trap charge states.

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43

Divine, D. V., M. A. Granskog, S. R. Hudson, C. A. Pedersen, T. I. Karlsen, S. A. Divina, A. H. H. Renner, and S. Gerland. "Regional melt-pond fraction and albedo of thin Arctic first-year drift ice in late summer." Cryosphere 9, no. 1 (February 9, 2015): 255–68. http://dx.doi.org/10.5194/tc-9-255-2015.

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Abstract. The paper presents a case study of the regional (≈150 km) morphological and optical properties of a relatively thin, 70–90 cm modal thickness, first-year Arctic sea ice pack in an advanced stage of melt. The study combines in situ broadband albedo measurements representative of the four main surface types (bare ice, dark melt ponds, bright melt ponds and open water) and images acquired by a helicopter-borne camera system during ice-survey flights. The data were collected during the 8-day ICE12 drift experiment carried out by the Norwegian Polar Institute in the Arctic, north of Svalbard at 82.3° N, from 26 July to 3 August 2012. A set of > 10 000 classified images covering about 28 km2 revealed a homogeneous melt across the study area with melt-pond coverage of ≈ 0.29 and open-water fraction of ≈ 0.11. A decrease in pond fractions observed in the 30 km marginal ice zone (MIZ) occurred in parallel with an increase in open-water coverage. The moving block bootstrap technique applied to sequences of classified sea-ice images and albedo of the four surface types yielded a regional albedo estimate of 0.37 (0.35; 0.40) and regional sea-ice albedo of 0.44 (0.42; 0.46). Random sampling from the set of classified images allowed assessment of the aggregate scale of at least 0.7 km2 for the study area. For the current setup configuration it implies a minimum set of 300 images to process in order to gain adequate statistics on the state of the ice cover. Variance analysis also emphasized the importance of longer series of in situ albedo measurements conducted for each surface type when performing regional upscaling. The uncertainty in the mean estimates of surface type albedo from in situ measurements contributed up to 95% of the variance of the estimated regional albedo, with the remaining variance resulting from the spatial inhomogeneity of sea-ice cover.

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44

Tolev, D. "On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set." Acta Arithmetica 81, no. 1 (1997): 57–68. http://dx.doi.org/10.4064/aa-81-1-57-68.

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45

Nesis, Sergey, Daniel Gottwald, Thomas Geber, and Rolf Pelster. "Experimental Set-Up for the Investigation of Thermomechanical Oscillations of Thin Heaters in Air." Fluids 3, no. 4 (November 30, 2018): 100. http://dx.doi.org/10.3390/fluids3040100.

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The simultaneous visualization and characterization of heat transfer processes from hot vibrating objects is a challenging task. This article presents an experimental set-up for the investigation of thermomechanical oscillations in thin cylindrical heaters, allowing us to visualize convection processes using Schlieren photography, infrared photometry, and other methods. It is demonstrated that heat transfer considerably changes in the regions of parametric instability.

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46

Vollmann, Jacqueline, Dieter M. Profunser, and Jürg Dual. "Sensitivity improvement of a pump–probe set-up for thin film and microstructure metrology." Ultrasonics 40, no. 1-8 (May 2002): 757–63. http://dx.doi.org/10.1016/s0041-624x(02)00207-x.

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47

Argatov, I. I., and S. A. Nazarov. "Asymptotic solution of the Signorini problem with an obstacle on a thin elongated set." Sbornik: Mathematics 187, no. 10 (October 31, 1996): 1411–42. http://dx.doi.org/10.1070/sm1996v187n10abeh000162.

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48

Andronov, I. V. "Waves propagating along a periodic set of point inhomogeneities in a thin elastic plate." Acoustical Physics 56, no. 3 (May 2010): 259–67. http://dx.doi.org/10.1134/s1063771010030012.

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49

Nishi, Yoshifumi, Stephan Menzel, Karsten Fleck, Ulrich Bottger, and Rainer Waser. "Origin of the SET Kinetics of the Resistive Switching in Tantalum Oxide Thin Films." IEEE Electron Device Letters 35, no. 2 (February 2014): 259–61. http://dx.doi.org/10.1109/led.2013.2294868.

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50

Apollonskii, S. M., V. T. Erofeenko, and G. Ch Shushkevich. "Screening of low-frequency electric fields by a set of screens: A thin unclosed ellipsoidal sheath plus a thin-walled penetrable cylinder." Technical Physics 48, no. 8 (August 2003): 952–57. http://dx.doi.org/10.1134/1.1607488.

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