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Relevant bibliographies by topics / Rank one operator

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Academic literature on the topic 'Rank one operator'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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Journal articles on the topic "Rank one operator"

1

Zhe, Dong. "RANK-ONE OPERATORS IN REFLEXIVE A-SUBMODULES OF OPERATOR ALGEBRAS." Taiwanese Journal of Mathematics 9, no. 3 (2005): 373–84. http://dx.doi.org/10.11650/twjm/1500407846.

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Bradley, Sean. "Finite Rank Operators in Certain Algebras." Canadian Mathematical Bulletin 42, no. 4 (1999): 452–62. http://dx.doi.org/10.4153/cmb-1999-053-3.

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AbstractLet Alg(ℒ) be the algebra of all bounded linear operators on a normed linear space X leaving invariant each member of the complete lattice of closed subspaces L. We discuss when the subalgebra of finite rank operators in Alg(ℒ) is non-zero, and give an example which shows this subalgebra may be zero even for finite lattices. We then give a necessary and sufficient lattice condition for decomposing a finite rank operator F into a sum of a rank one operator and an operator whose range is smaller than that of F, each of which lies in Alg(ℒ). This unifies results of Erdos, Longstaff, Lambr

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GOLDFELD, DORIAN. "RANK LOWERING OPERATORS ON GL(n, ℝ)". International Journal of Number Theory 03, № 03 (2007): 365–75. http://dx.doi.org/10.1142/s1793042107000985.

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If one takes the Mellin transform of an automorphic form for GL(n) and then integrates it along the diagonal on GL(n - 1) then one obtains an automorphic form on GL(n - 1). This gives a rank lowering operator. In this paper a more general rank lowering operator is obtained by combining the Mellin transform with a sum of powers of certain fixed differential operators. The analytic continuation of the rank lowering operator is obtained by showing that the spectral expansion consists of sums of Rankin–Selberg L-functions of type GL(n) × GL(n - 1).

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Datko, R. "A rank-one perturbation result on the spectra of certain operators." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 111, no. 3-4 (1989): 337–46. http://dx.doi.org/10.1017/s0308210500018618.

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SynopsisIn this note we show that certain perturbations, involving rank-one stabilising operators, which correspond to small delays in some feedback control problems, shift a part of the point spectrum of the unperturbed operator into the right-half plane.

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Spanoudakis, N. K. "Operators in finite distributive subspace lattices, I." Mathematical Proceedings of the Cambridge Philosophical Society 113, no. 1 (1993): 141–46. http://dx.doi.org/10.1017/s0305004100075824.

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AbstractThe purpose of this paper is to settle in the negative an open problem in operator theory, which asks whether in a finite distributive subspace lattice ℒ on a Hilbert space, every finite rank operator of Alg ℒ can be written as a finite sum of rank one operators from Alg ℒ. The counter-example constructed is on a specific Hilbert space realization of the free distributive lattice on three generators and the operator which fails the above property has rank two.

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Deguang, Han. "Rank one operators and bimodules of reflexive operator algebras in Banach spaces." Journal of Mathematical Analysis and Applications 161, no. 1 (1991): 188–93. http://dx.doi.org/10.1016/0022-247x(91)90368-a.

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YOSHITOMI, KAZUSHI. "INVERSE SPECTRAL PROBLEMS FOR SINGULAR RANK-ONE PERTURBATIONS OF A HILL OPERATOR." Journal of the Australian Mathematical Society 87, no. 3 (2009): 421–28. http://dx.doi.org/10.1017/s1446788709000135.

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AbstractWe investigate an inverse spectral problem for the singular rank-one perturbations of a Hill operator. We give a necessary and sufficient condition for a real sequence to be the spectrum of a singular rank-one perturbation of the Hill operator.

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Wu, Xuewen. "Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator." Advances in Mathematical Physics 2021 (August 4, 2021): 1–5. http://dx.doi.org/10.1155/2021/1681873.

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This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.

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Grivaux, Sophie. "A hypercyclic rank one perturbation of a unitary operator." Mathematische Nachrichten 285, no. 5-6 (2012): 533–44. http://dx.doi.org/10.1002/mana.201000112.

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Li, Jiankui. "Decomposability of finite rank operators in certain subspaces and algebras." Bulletin of the Australian Mathematical Society 64, no. 2 (2001): 307–14. http://dx.doi.org/10.1017/s0004972700039964.

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Let  be either a reflexive subspace or a bimodule of a reflexive algebra in B (H), the set of bounded operators on a Hilbert space H. We find some conditions such that a finite rank T ∈  has a rank one summand in  and  has strong decomposability. Let (ℒ) be the set of all operators on H that annihilate all the operators of rank at most one in alg ℒ. We construct an atomic Boolean subspace lattice ℒ on H such that there is a finite rank operator T in (ℒ) such that T does not have a rank one summand in (ℒ). We obtain some lattice-theoretic conditions on a subspace lattice ℒ which imply al

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Dissertations / Theses on the topic "Rank one operator"

1

Newman, Adam. "Behaviour of eigenfunction subsequences for delta-perturbed 2D quantum systems." Thesis, Loughborough University, 2016. https://dspace.lboro.ac.uk/2134/21568.

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We consider a quantum system whose unperturbed form consists of a self-adjoint Δ-operator on a 2-dimensional compact Riemannian manifold, which may or may not have a boundary. Then as a perturbation, we add a delta potential/point scatterer at some select point ρ. The perturbed self-adjoint operator is constructed rigorously by means of self-adjoint extension theory. We also consider a corresponding classical dynamical system on the cotangent/cosphere bundle, consisting of geodesic flow on the manifold, with specular reflection if there is a boundary. Chapter 2 describes the mathematics of the

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Mansour, Abdelouahab. "Résolution de deux types d’équations opératorielles et interactions." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSE1151/document.

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Le sujet de cette thèse porte sur la résolution d'équations d'opérateurs dans l'algèbre B(H) des opérateurs linéaires bornés sur un espace de Hilbert H. Nous étudié celles qui sont associées aux dérivations généralisées. Mon sujet de thèse explore aussi des équations beaucoup plus générales comme celles du type AXB - XD = E ou AXB - CXD = E où A, B, C, D et E appartiennent à B(H). Plus précisément il s'agit de donner une description des solutions de ces équations pour E appartenant à une famille précise(autoadjoint, normal, rang un, rang fini, compact, couple de Fuglède Putnam) et pour des opé

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Poltoratski, Alexei G. Makarov Nicolai G. "Boundary behavior of Cauchy integrals and rank one perturbations of operators /." Diss., Pasadena, Calif. : California Institute of Technology, 1995. http://resolver.caltech.edu/CaltechETD:etd-10122007-080912.

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Leben, Leslie [Verfasser], Carsten [Akademischer Betreuer] Trunk, Christian [Gutachter] Mehl, and Volodymyr [Gutachter] Derkach. "Non-negative operators in Krein Spaces and rank one perturbations / Leslie Leben ; Gutachter: Christian Mehl, Volodymyr Derkach ; Akademischer Betreuer: Carsten Trunk." Ilmenau : Universitätsbibliothek Ilmenau, 2016. http://d-nb.info/1111793727/34.

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Monteiro, Wagner. "Generalizações do truque de Kotani." Universidade Federal de São Carlos, 2016. https://repositorio.ufscar.br/handle/ufscar/8140.

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Submitted by Bruna Rodrigues (bruna92rodrigues@yahoo.com.br) on 2016-10-10T13:51:29Z No. of bitstreams: 1 DissWM.pdf: 576272 bytes, checksum: 2aed9c1a9025d2818155f1b5a16ffc54 (MD5)<br>Approved for entry into archive by Marina Freitas (marinapf@ufscar.br) on 2016-10-21T13:33:51Z (GMT) No. of bitstreams: 1 DissWM.pdf: 576272 bytes, checksum: 2aed9c1a9025d2818155f1b5a16ffc54 (MD5)<br>Approved for entry into archive by Marina Freitas (marinapf@ufscar.br) on 2016-10-21T13:34:02Z (GMT) No. of bitstreams: 1 DissWM.pdf: 576272 bytes, checksum: 2aed9c1a9025d2818155f1b5a16ffc54 (MD5)<br>Made availab

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Poltoratski, Alexei G. "Boundary behavior of Cauchy integrals and rank one perturbations of operators." Thesis, 1995. https://thesis.library.caltech.edu/4048/1/Poltoratski_a_1995.pdf.

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We develop new methods based on Rohlin-type decompositions of Lebesgue measure on the unit circle and on the real line to study the boundary behavior of Cauchy integrals. We also apply these methods to investigate the notion of Krein spectral shift of a self-adjoint operator. Using this notion we study the spectral properties of rank one perturbations of operators.

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Books on the topic "Rank one operator"

1

Kobayashi, Toshiyuki. Symmetry breaking for representations of rank one orthogonal groups. American Mathematical Society, 2015.

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Hoffmann, Werner. The trace formula for Hecke operators over rank one lattices. Akademie der Wissenschaften der DDR, Karl-Weierstrass-Institut für Mathematik, 1986.

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Werner, Müller. L²-index of elliptic operators on manifolds with cusps of rank one. Akademie der Wissenschaften der DDR, Karl-Weierstrass-Institut für Mathematik, 1985.

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Bauman, Thomas. Prologue. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252038365.003.0001.

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This prologue describes Chicago's black gambling world and three of its leading figures, focusing on major developments in 1903. It begins with a look at John “Mushmouth” Johnson, who operated a saloon and gambling den at 464 South State Street. Since around 1900, Johnson's most profitable operation had been the game of policy. Johnson wove a dense and seemingly impermeable tapestry of gambling, politics, protection, and graft. Each of Johnson's successive gambling houses catered to an interracial clientele—whites, blacks, and Asians. The discussion then turns to black gambler John Weston “Pon

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Farb, Benson, and Dan Margalit. Dehn Twists. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0004.

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This chapter deals with Dehn twists, the simplest infinite-order elements of Mod(S). It first defines Dehn twists and proves that they are nontrivial elements of the mapping class group. In particular, it considers the action of Dehn twists on simple closed curves. As one application of this study, the chapter proves that if two simple closed curves in Sɡ have geometric intersection number greater than 1, then the associated Dehn twists generate a free group of rank 2 in Mod(S). It also proves some fundamental facts about Dehn twists and describes the center of the mapping class group, along w

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Rogers, Pat. Social Structure, Class, and Gender, 1660–1770. Edited by Alan Downie. Oxford University Press, 2013. http://dx.doi.org/10.1093/oxfordhb/9780199566747.013.001.

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This article reviews some of the historic evidence on the evolution of British society, as changes in its structure impacted on the rise of the novel. It considers: (1) Demographic issues, including the size and age composition of the population, factors affecting the mortality rate, the growth in urbanism, and the professions; (2) The economic make-up of society and ways in which the class system operated through the ownership of land and the occupational spread of British people; (3) Issues of gender, as affected by rank, with the limitations and the changing possibilities for women in this

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Butt, Simon, and Tim Lindsey. Indonesian Laws and Lawmaking. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199677740.003.0002.

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This chapter focuses on the various types of laws that Indonesian institutions can make, the processes for their issuance, and the bodies that issue them. Most of these laws, including national statutes, emergency laws, and government, presidential, and regional regulations, appear on Indonesia’s ‘hierarchy of laws’, which ranks them by their relative authority. This chapter highlights significant problems in the operation of the hierarchy, deriving primarily from: unclear delineation of the relative jurisdictions of Indonesia’s multiple lawmakers; the use of laws that do not appear on the hie

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Wilson, Keeley. A Supernova. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198777199.003.0006.

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This chapter reviews the period 2004–6, opening with a description of the problems Nokia was facing due to a boycott of its products by operators. However, the problems ran deeper than this, as Nokia was losing its agility and entrepreneurialism, and focusing on scale rather than speed, so its products were constantly late to market. It goes on to analyze the implications of a reorganization into a matrix structure in 2004, which led to wide-ranging top management changes over the following two years and a subsequent deterioration of strategic thinking and strategic leadership. We also see a g

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Kraus, Joe. The Kosher Capones. Cornell University Press, 2019. http://dx.doi.org/10.7591/cornell/9781501747311.001.0001.

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This book tells the fascinating story of Chicago’s Jewish gangsters from Prohibition into the 1980s. The book traces these gangsters through the lives, criminal careers, and conflicts of Benjamin “Zukie the Bookie” Zuckerman, last of the independent West Side Jewish bosses, and Lenny Patrick, eventual head of the Syndicate’s “Jewish wing.” These two men linked the early Jewish gangsters of the neighborhoods of Maxwell Street and Lawndale to the notorious Chicago Outfit that emerged from Al Capone’s criminal confederation. Focusing on the murder of Zuckerman by Patrick, the book introduces us t

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Miller, Craig A. A Time for All Things. Oxford University Press, 2019. http://dx.doi.org/10.1093/med/9780190073947.001.0001.

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Born in 1908 in Lake Charles, Louisiana, Michael DeBakey is the eldest of six children of Lebanese immigrants. He enjoys conspicuous academic success as a youth and then medical school, displaying intelligence and originality. DeBakey comes under the tutelage of surgery professor Alton Ochsner. He also spends a year training in Europe. Debakey and Ochsner publish important research papers. In World War Two DeBakey is assigned to the Office of the Army Surgeon General, where he excels in administration, rising to the rank of Colonel. He serves beyond the war’s end, contributing to the foundatio

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Book chapters on the topic "Rank one operator"

1

Dobrogowska, Alina, and Andrey E. Mironov. "Periodic One-Point Rank One Commuting Difference Operators." In Trends in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53305-2_4.

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Alpay, Şafak. "On L-, M-Weakly Compact and Rank-One Operators." In Trends in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27842-1_3.

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Kobayashi, Toshiyuki, and Birgit Speh. "Regular Symmetry Breaking Operators." In Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2901-2_5.

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Kobayashi, Toshiyuki, and Birgit Speh. "Differential Symmetry Breaking Operators." In Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2901-2_6.

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Kobayashi, Toshiyuki, and Birgit Speh. "Symmetry Breaking Operators for Principal Series Representations—General Theory." In Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2901-2_3.

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Kobayashi, Toshiyuki, and Birgit Speh. "The Knapp–Stein Intertwining Operators Revisited: Renormalization and K-spectrum." In Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2901-2_8.

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Kobayashi, Toshiyuki, and Birgit Speh. "Symmetry Breaking Operators for Irreducible Representations with Infinitesimal Character ρ: Proof of Theorems4.1 and 4.2." In Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2901-2_10.

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Kobayashi, Toshiyuki, and Birgit Speh. "Regular Symmetry Breaking Operators 𝔸 ˜ λ , ν , δ ε i , j $${\widetilde {\mathbb {A}}}_{{\lambda },{\nu },{\delta \varepsilon }}^{{i,j}}$$ from I δ(i, λ) to J ε(j, ν)." In Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2901-2_9.

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Kaller, Thomas, Alexander Doehring, Stefan Hickel, Steffen J. Schmidt, and Nikolaus A. Adams. "Assessment of RANS Turbulence Models for Straight Cooling Ducts: Secondary Flow and Strong Property Variation Effects." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53847-7_20.

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Abstract We present well-resolved RANS simulations of two generic asymmetrically heated cooling channel configurations, a high aspect ratio cooling duct operated with liquid water at $$Re_b = 110 \times 10^3$$ and a cryogenic transcritical channel operated with methane at $$Re_b = 16 \times 10^3$$. The former setup serves to investigate the interaction of turbulence-induced secondary flow and heat transfer, and the latter to investigate the influence of strong non-linear thermodynamic property variations in the vicinity of the critical point on the flow field and heat transfer. To assess the accuracy of the RANS simulations for both setups, well-resolved implicit LES simulations using the adaptive local deconvolution method as subgrid-scale turbulence model serve as comparison databases. The investigation focuses on the prediction capabilities of RANS turbulence models for the flow as well as the temperature field and turbulent heat transfer with a special focus on the turbulent heat flux closure influence.

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Rees, S. J. "Object Recognition from a Perimeter High Curvature Model using Rank Conditioned Morphological Operators." In Noblesse Workshop on Non-Linear Model Based Image Analysis. Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-1597-7_14.

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Conference papers on the topic "Rank one operator"

1

Brandtberg, Tomas. "Virtual hexagonal and multi-scale operator for fuzzy rank order texture classification using one-dimensional generalised Fourier analysis." In 2016 23rd International Conference on Pattern Recognition (ICPR). IEEE, 2016. http://dx.doi.org/10.1109/icpr.2016.7899933.

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Camargo, Hugo E., Jeffrey S. Peterson, and Amanda S. Azman. "Identification and Ranking of Noise Sources on a Jumbo Drill Machine During Operation." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-72708.

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Noise-induced hearing loss (NIHL) is the second most prevalent illness in the mining industry. According to a study conducted by the National Institute for Occupational Safety and Health (NIOSH), in which over 42,000 audiograms from metal/nonmetal miners were analyzed, approximately 70% of miners have hearing impairment as compared to 9% of non-occupationally noise-exposed workers. One of the machines used extensively in metal/nonmetal mines responsible for high noise exposure levels of its operators is the jumbo drill, used to drill holes at the mines for blasting purposes. In this context, N

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Sutyarjoko, Meiditomo, and Yuliawan Cahya Pamungkas. "Consortium for National Space Resources Access (CNSA)." In Seminar Nasional Kebijakan Penerbangan dan Antariksa II. In Media, 2018. http://dx.doi.org/10.30536/p.sinaskpa.ii.5.

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Space technology development history goes way back to the World War II era fueled by the “space race”. Indonesia is one of the early adopter of GEO satellite communication technology, and remain largely as satellite operator – albeit of the national program to master the space technology. Mastering space technology is not an easy task, and so far India is the only developing country that able to reach the rank #13 in the Space Technology Ladder. The space technology conservatism, particularly in the GEO satellite technology, that discourage innovations has been seen shifted due to recent struc

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Dawar, Anuj, Martin Grohe, Bjarki Holm, and Bastian Laubner. "Logics with Rank Operators." In 2009 24th Annual IEEE Symposium on Logic In Computer Science (LICS). IEEE, 2009. http://dx.doi.org/10.1109/lics.2009.24.

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Bauby, Catherine E., Vale´ry E. Just, and Caroline Garreau. "Asset Management Evaluation Methods: The EDF Perspective." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-2155.

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The long term management of a production asset raises several major issues, among which rank the technical management of the plant, its economics and the fleet level perspective one has to adopt. Decision makers are therefore faced with the need to define long term policies (until the end of the life of the asset) which take into account multiple criteria including safety (which is paramount) and performance. In this paper we describe the French context where EDF (Electricite´ de France) is both Plant Owner and Operator of a fleet of 58 PWRs. We introduce a three-level methodology for asset ma

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Ohzeki, Kazuo, and Masaru Sakurai. "SVD-Based Watermark with Quasi-One-Way Operation by Reducing a Singular Value Matrix Rank." In 1st International ICST Conference on Forensic Applications and Techniques in Telecommunications, Information and Multimedia. ACM, 2008. http://dx.doi.org/10.4108/e-forensics.2008.2672.

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Lohit, Suhas, Rajhans Singh, Kuldeep Kulkarni, and Pavan Turaga. "Rank-Regularized Measurement Operators for Compressive Imaging." In 2019 53rd Asilomar Conference on Signals, Systems, and Computers. IEEE, 2019. http://dx.doi.org/10.1109/ieeeconf44664.2019.9048686.

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Rees, S. J. "Use of rank-conditioned morphological operators for texture classification." In 6th International Conference on Image Processing and its Applications. IEE, 1997. http://dx.doi.org/10.1049/cp:19970968.

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Liu, Chenchen, and Wai Ho Mow. "Bounds on the expected rank of sparse linear operator channel matrices." In 2013 19th Asia-Pacific Conference on Communications (APCC). IEEE, 2013. http://dx.doi.org/10.1109/apcc.2013.6766002.

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Chen, Renrong. "The evaluation of matrix rank based on determinant-operation." In 2011 International Conference on Electronics and Optoelectronics (ICEOE). IEEE, 2011. http://dx.doi.org/10.1109/iceoe.2011.6013102.

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Reports on the topic "Rank one operator"

1

Ajzenman, Nicolás, Gregory Elacqua, Luana Marotta, and Anne Sofie Olsen. Order Effects and Employment Decisions: Experimental Evidence from a Nationwide Program. Inter-American Development Bank, 2021. http://dx.doi.org/10.18235/0003558.

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In this paper, we show that order effects operate in the context of high-stakes, real-world decisions: employment choices. We experimentally evaluate a nationwide program in Ecuador that changed the order of teaching vacancies on a job application platform in order to reduce teacher sorting (that is, lower-income students are more likely to attend schools with less qualified teachers). In the treatment arm, the platform showed hard-to-staff schools (institutions typically located in more vulnerable areas that normally have greater difficulty attracting teachers) first, while in the control gro

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Lazonick, William, Philip Moss, and Joshua Weitz. The Unmaking of the Black Blue-Collar Middle Class. Institute for New Economic Thinking Working Paper Series, 2021. http://dx.doi.org/10.36687/inetwp159.

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In the decade after the Civil Rights Act of 1964, African Americans made historic gains in accessing employment opportunities in racially integrated workplaces in U.S. business firms and government agencies. In the previous working papers in this series, we have shown that in the 1960s and 1970s, Blacks without college degrees were gaining access to the American middle class by moving into well-paid unionized jobs in capital-intensive mass production industries. At that time, major U.S. companies paid these blue-collar workers middle-class wages, offered stable employment, and provided employe

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