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Academic literature on the topic 'Real rank'

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Published: 10 March 2023

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Journal articles on the topic "Real rank"

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Beasley, LeRoy B., and Thomas J. Laffey. "Real rank versus nonnegative rank." Linear Algebra and its Applications 431, no. 12 (December 2009): 2330–35. http://dx.doi.org/10.1016/j.laa.2009.02.034.

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Ballico, Edoardo, and Alessandra Bernardi. "Real and Complex Rank for Real Symmetric Tensors with Low Ranks." Algebra 2013 (March 21, 2013): 1–5. http://dx.doi.org/10.1155/2013/794054.

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We study the case of a real homogeneous polynomial whose minimal real and complex decompositions in terms of powers of linear forms are different. We prove that if the sum of the complex and the real ranks of is at most , then the difference of the two decompositions is completely determined either on a line or on a conic or two disjoint lines.
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Seigal, Anna, and Bernd Sturmfels. "Real rank two geometry." Journal of Algebra 484 (August 2017): 310–33. http://dx.doi.org/10.1016/j.jalgebra.2017.04.014.

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Banchi, Maurizio. "Rank and border rank of real ternary cubics." Bollettino dell'Unione Matematica Italiana 8, no. 1 (July 21, 2015): 65–80. http://dx.doi.org/10.1007/s40574-015-0027-z.

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Ballico, E. "An upper bound for the real tensor rank and the real symmetric tensor rank in terms of the complex ranks." Linear and Multilinear Algebra 62, no. 11 (September 24, 2013): 1546–52. http://dx.doi.org/10.1080/03081087.2013.839671.

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Jeong, J. A., G. H. Park, and D. Y. Shin. "Stable rank and real rank of graph C∗-algebras." Pacific Journal of Mathematics 200, no. 2 (October 1, 2001): 331–43. http://dx.doi.org/10.2140/pjm.2001.200.331.

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Sims, Aidan, David Pask, and Adam Sierakowski. "Real rank and topological dimension of higher rank graph algebras." Indiana University Mathematics Journal 66, no. 6 (2017): 2137–68. http://dx.doi.org/10.1512/iumj.2017.66.6212.

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Chu, Moody T., and Robert J. Plemmons. "Real-Valued, Low Rank, Circulant Approximation." SIAM Journal on Matrix Analysis and Applications 24, no. 3 (January 2003): 645–59. http://dx.doi.org/10.1137/s0895479801383166.

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Chigogidze, A., and V. Valov. "C*-algebras of infinite real rank." Bulletin of the Australian Mathematical Society 66, no. 3 (December 2002): 487–96. http://dx.doi.org/10.1017/s0004972700040326.

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We introduce the notion of weakly (strongly) infinite real rank for unital C*-algebras. It is shown that a compact space X is weakly (strongly) infine-dimensional if and only if C (X) has weakly (strongly) infinite real rank. Some other properties of this concept are also investigated. In particular, we show that the group C*-algebra C* (∞) of the free group on countable number of generators has strongly infinite real rank.
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Blekherman, Grigoriy, and Rainer Sinn. "Real rank with respect to varieties." Linear Algebra and its Applications 505 (September 2016): 344–60. http://dx.doi.org/10.1016/j.laa.2016.04.035.

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Dissertations / Theses on the topic "Real rank"

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Kachkovskiy, Ilya. "Almost commuting elements of real rank zero C*-algebras." Thesis, King's College London (University of London), 2013. https://kclpure.kcl.ac.uk/portal/en/theses/almost-commuting-elements-of-real-rank-zero-calgebras(1c891b23-dba5-4395-99dc-2884cbeb3bfb).html.

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The purpose of this thesis is to study the following problem. Suppose that X,Y are bounded self-adjoint operators in a Hilbert space H with their commutator [X,Y] being small. Such operators are called almost commuting. How close is the pair X,Y to a pair of commuting operators X',Y'? In terms of one operator A = X + iY, suppose that the self-commutator [A,A*] is small. How close is A to the set of normal operators? Our main result is a quantitative analogue of Huaxin Lin's theorem on almost commuting matrices. We prove that for every (n x n)-matrix A with ||A|| ≤ 1 there exists a normal matrix A' such that ||A-A'|| ≤ C||[A,A*]||¹/³. We also establish a general version of this result for arbitrary C*-algebras of real rank zero assuming that A satisfies a certain index-type condition. For operators in Hilbert spaces, we obtain two-sided estimates of the distance to the set of normal operators in terms of ||[A,A*]|| and the distance from A to the set of invertible operators. The technique is based on Davidson's results on extensions of almost normal operators, Alexandrov and Peller's results on operator and commutator Lipschitz functions, and a refined version of Filonov and Safarov's results on approximate spectral projections in C*-algebras of real rank zero. In Chapter 4 we prove an analogue of Lin's theorem for finite matrices with respect to the normalized Hilbert-Schmidt norm. It is a renement of a previously known result by Glebsky, and is rather elementary. In Chapter 5 we construct a calculus of polynomials for almost commuting elements of C*-algebras and study its spectral mapping properties. Chapters 4 and 5 are based on author's joint results with Nikolay Filonov.
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Stevens, Irina. "Hereditary subalgebras of certain simple non real rank zero C§*-algebras." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0011/NQ41511.pdf.

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Friis, Peter. "Normal elements with finite spectrum in C*-algebras of real rank zero." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0018/NQ45737.pdf.

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Moseley, P. G. "On the dimensions of linear spaces of real matrices of fixed rank." Thesis, University of Edinburgh, 1997. http://hdl.handle.net/1842/11860.

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This thesis studies the problem of estimating the largest possible dimension of a linear space of real matrices under the assumption that every non-zero matrix in the space has (the same) fixed rank. The complex version of this problem has been studied by R. Westwick and J. Sylvester. Sylvester introduced a technique based on the theory of Chern classes for estimating the dimension from above. The question of determining the largest dimension of a linear space of maximal-rank real n x n matrices (or, equivalently, of determining the largest number of nonsingular n x n matrices all of whose non-trivial linear combinations are non-singular) was solved by J.F. Adams, P. Lax and R. Phillips. Their proof uses Adams' solution of the vector fields on spheres problem to show that the linear spaces constructed by J. Radon and A. Hurwitz are of the largest possible dimension under this hypothesis. A number of general results on the dimensions of linear spaces of fixed-rank real matrices, as well as related questions concerning linear spaces whose non-zero matrices have rank bounded below, are due to E. Rees and K.Y. Lam. The method used to provide upper bounds for the dimension is analogous to the complex case; here Stiefel-Whitney classes and K-theory are used for the calculations. Clifford Algebras are then used to construct spaces and so provide lower bounds for the dimension. We show how calculations with Stiefel-Whitney classes together with information about the existence of certain bilinear maps enable us to determine the dimensions of spaces of real n x k matrices of fixed-rank k for all n and k with k ≤ 9. The case of fixed-rank symmetric matrices is also investigated. The main result here is that every space of real symmetric n x n matrices of fixed rank 2k + 1 must have dimension 1.
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Knauss, Lisa Monika [Verfasser], Peter [Gutachter] Heinzner, and Alan T. [Gutachter] Huckleberry. "Spherical algebraic subalgebras of real simple Lie algebras of rank 1 / Lisa Monika Knauss ; Gutachter: Peter Heinzner, Alan T. Huckleberry." Bochum : Ruhr-Universität Bochum, 2016. http://d-nb.info/1123283273/34.

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Anderson, Jonathan D. "Semi Autonomous Vehicle Intelligence: Real Time Target Tracking For Vision Guided Autonomous Vehicles." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1750.pdf.

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Carraturo, Massimo [Verfasser], Ernst [Akademischer Betreuer] Rank, Alessandro [Akademischer Betreuer] Reali, Michele [Gutachter] Chiumenti, Ernst [Gutachter] Rank, and Alessandro [Gutachter] Reali. "Modelling, Validation, and Design for Additive Manufacturing : Applications of numerical methods to 3D printing processes / Massimo Carraturo ; Gutachter: Michele Chiumenti, Ernst Rank, Alessandro Reali ; Ernst Rank, Alessandro Reali." München : Universitätsbibliothek der TU München, 2020. http://d-nb.info/1223093190/34.

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Wan, Ariffin Wan Nur Suryani Firuz. "Real-time resource management and energy trading for green cloud-RAN." Thesis, King's College London (University of London), 2017. https://kclpure.kcl.ac.uk/portal/en/theses/realtime-resource-management-and-energy-trading-for-green-cloudran(b576b0a7-0aa3-425e-9b77-407dba2bb6f2).html.

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This thesis considers cloud radio access network (C-RAN), where the remote radio heads (RRHs) are equipped with renewable energy resources and can trade energy with the grid. Due to uneven distribution of mobile radio traffic and inherent intermittent nature of renewable energy resources, the RRHs may need real-time energy provisioning to meet the users demands. Given the amount of available energy resources at RRHs, the main contributions of the thesis begin with introducing realtime resource management strategies to the RRHs with a shortage of power budget to select an optimal number of user terminals based on their available energy budget. On the other hand, sparse beamforming strategies introduced in the second part of the thesis account for all RRHs with or without a shortage of power and take consideration of realistic constraints on fronthaul capacity restrictions. The proposed strategies strike an optimum balance among the total power consumption in the fronthaul through adjusting the degree of partial cooperation among RRHs, RRHs total transmit power and the maximum or total spot-market energy cost. A smart energy management strategy based on the combinatorial multi-armed bandit (CMAB) theory for C-RAN, which is powered by a hybrid of grid and renewable energy sources is studied in the last part of the thesis. A combinatorial upper confidence bound (CUCB) algorithm to maximize the overall rewards, earned as a result of minimizing the cost of energy trading at individual RRHs of the C-RAN has been introduced. Adapting to the dynamic wireless channel conditions, the proposed CUCB algorithm associates a set of optimal energy packages, to be purchased from the day-ahead markets, to a set of RRHs to minimize the total cost of energy purchase from the main power grid by dynamically forming super arms. A super arm is formed on the basis of calculating the instantaneous energy demands at the current time slot, learning from the cooperative energy trading at the previous time slots and adjusting the mean rewards of the individual arms.
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Zander, Nils Dietrich [Verfasser], Ernst [Akademischer Betreuer] [Gutachter] Rank, Alessandro [Gutachter] Reali, and Zohar [Gutachter] Yosibash. "Multi-level hp-FEM: dynamically changing high-order mesh refinement with arbitrary hanging nodes / Nils Dietrich Zander ; Gutachter: Alessandro Reali, Ernst Rank, Zohar Yosibash ; Betreuer: Ernst Rank." München : Universitätsbibliothek der TU München, 2017. http://d-nb.info/1131253752/34.

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Sehgal, Anuj. "Investigating the development and function of M cells." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28738.

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Gut-associated lymphoid tissues such as Peyer’s patches (PP) are inductive sites for immune response in the intestine. Unlike other peripheral lymphoid tissues, gut-associated lymphoid tissues lack afferent lymphatics and can directly sample mucosal antigens by specialized epithelial cells in the follicular associated epithelia (FAE), known as M cells. M cells derive from Lgr5+ intestinal stem cells in intestinal crypts, where the daughter cells of Lgr5+ cells differentiate into M cells after stimulation from the cytokine receptor activator of nuclear factor-κB ligand (RANKL). RANKL is produced by stromal cells within the sub-epithelial dome (SED) residing below the FAE. The transcytosis of antigens across the FAE by M cells is an important initial step in the induction of efficient mucosal immune responses against certain pathogenic bacteria as well as the commensal bacterial flora. However some pathogens, for example orally-acquired prions, may also exploit M cells to infect the host. M cells have been implicated in the uptake of orally acquired prions from the gut lumen. After oral exposure, the accumulation of prions in PP is important for their efficient spread to the nervous system. Previous studies have also shown that pathogen-induced inflammation increases M cell density and this effect can be mimicked by exogenous administration of RANKL. This has led to the hypothesis tested in this thesis that inflammation-related enhancement of M cell differentiation aids the delivery of prions into the lamina propria of villi. The administration of RANKL resulted in increased M cell density in the gut epithelium of mice. Consequently, RANKL treatment enhanced the accumulation of orally-administered prions in PP, decreased disease incubation time and increased prion disease susceptibility. These data indicate the importance of M cells in prion disease pathogenesis and highlight the potential of M cells as vaccine targets against prion disease. The fate and terminal differentiation of distinct intestinal epithelial cell lineages from their uncommitted precursors is dependent on their intrinsic expression of one or more specific transcription factors during their development. Alongside inducing M cell differentiation, RANKL stimulation can also induce the nuclear translocation of the NF-κB transcription factor subunit c-Rel. A comparison of the genes encoding the individual NF-κB subunits c-Rel, Rel-A and Rel-B revealed that they were expressed at the mRNA level in the FAE and by M cells. A c-Rel-deficiency in mice did not influence the expression of RANKL or RANK in PP. The subsequent induction of M cell maturation in the FAE was also unaffected in, indicating that c-Rel is dispensable for the RANKL-mediated differentiation and functional maturation of M cells. The factors implicated in Lgr5+ intestinal stem cell proliferation and their differentiation into M cells are poorly understood. Some reports have indicated that crypt-associated macrophages may provide extrinsic factors that assist Lgr5+ intestinal stem cell proliferation. In this thesis, the ablation of macrophages in the gut resulted in dysregulation of crypt microarchitecture, depleting Paneth cells and the Lgr5+ stem cells. This adversely affected the subsequent differentiation of intestinal epithelial cell lineages and impeded the functional development of M cells. These data reveal a previously unknown role for macrophages in the maintenance of intestinal crypts and intestinal stem cell proliferation and differentiation.
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Books on the topic "Real rank"

1

Stevens, Irina. Hereditary subalgebras of certain simple non real rank zero C*-algebras. Toronto: University of Toronto, 1998.

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On the classification of C*-algebras of real rank zero: Inductive limits of matrix algebras over non-Hausdorff graphs. Providence, R.I: American Mathematical Society, 1995.

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Su, Hongbing. On the classification of C*, algebras of real rank zero: Inductive limits of matrix algebras over non-Hausdorff graphs. Toronto: [s.n.], 1992.

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Sakata, Toshio, Toshio Sumi, and Mitsuhiro Miyazaki. Algebraic and Computational Aspects of Real Tensor Ranks. Tokyo: Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-55459-2.

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The real reason for the fall of the rand. Johannesburg: Free Market Foundation, 2002.

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author, Jin Xiaobin, and Zhou Yinkang author, eds. Zhongguo zhu zhai shi chang fa zhan yu zhi zao ye zhuan xing yan jiu: Ji yu tu di chu rang de shi jiao. Beijing: Ke xue chu ban she, 2019.

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Arnold, Lobel. Rana e Rospo grandi amici. Milano: Fabbri, 2000.

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Zhang, Hong, Yibiao Ji, and Shaoliang Gu. Yunnan Sheng guo you tu di shi yong quan chu rang shou zhi he suan biao zhun yu jian guan ji zhi yan jiu. Beijing Shi: Jing ji ke xue chu ban she, 2012.

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Borg, Ron. Stop crying in the rear rank: A serious yet lighthearted backward glance at ground crew life in the Royal Air Force, 1939-1949 and a new life in Canada. [Canada]: [publisher not identified], 1998.

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Borg, Ronald J. Stop crying in the rear rank: A serious yet lighthearted backward glance at ground crew life in the Royal Air Force, 1938-1949, and a new life in Canada. [S.l.]: Ron Borg, 1998.

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Book chapters on the topic "Real rank"

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Sakata, Toshio, Toshio Sumi, and Mitsuhiro Miyazaki. "Basics of Tensor Rank." In Algebraic and Computational Aspects of Real Tensor Ranks, 1–10. Tokyo: Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-55459-2_1.

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Sakata, Toshio, Toshio Sumi, and Mitsuhiro Miyazaki. "Simple Evaluation Methods of Tensor Rank." In Algebraic and Computational Aspects of Real Tensor Ranks, 17–28. Tokyo: Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-55459-2_3.

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Stewart, G. W. "Determining Rank in the Presence of Error." In Linear Algebra for Large Scale and Real-Time Applications, 275–91. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8196-7_16.

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Chen, Changbo, Wenyuan Wu, and Yong Feng. "Full Rank Representation of Real Algebraic Sets and Applications." In Computer Algebra in Scientific Computing, 51–65. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66320-3_5.

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Su, Hongbing. "K-theoretic Classification for Certain Real Rank Zero C*-algebras." In Quantum and Non-Commutative Analysis, 387–97. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-2823-2_30.

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Baldoni-Silva, M. W., and A. W. Knapp. "Irreducible unitary representations of some groups of real rank two." In Non-Commutative Harmonic Analysis and Lie Groups, 15–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0073016.

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Fonarev, Alexander. "Transformation of Categorical Features into Real Using Low-Rank Approximations." In Communications in Computer and Information Science, 253–62. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25485-2_7.

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Cheng, Fuxing, Xin Zhang, Ben He, Tiejian Luo, and Wenjie Wang. "A Survey of Learning to Rank for Real-Time Twitter Search." In Pervasive Computing and the Networked World, 150–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37015-1_13.

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Li, Jing, Zhongyu Wei, Hao Wei, Kangfei Zhao, Junwen Chen, and Kam-Fai Wong. "Learning to Rank Microblog Posts for Real-Time Ad-Hoc Search." In Natural Language Processing and Chinese Computing, 436–43. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25207-0_40.

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Mahdavi-Amiri, Nezam, and Effat Golpar-Raboky. "Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions: A Review." In Numerical Analysis and Optimization, 237–59. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17689-5_10.

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Conference papers on the topic "Real rank"

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KAWAZOE, TAKESHI. "REAL HARDY SPACES ON REAL RANK 1 SEMISIMPLE LIE GROUPS." In Proceedings of the Third German-Japanese Symposium. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701503_0010.

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Yang, Chen, and Fei Chen. "Adaptive Iterative Low-Rank for Real Image Denoising." In 2020 IEEE 5th International Conference on Signal and Image Processing (ICSIP). IEEE, 2020. http://dx.doi.org/10.1109/icsip49896.2020.9339253.

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Liu, Jun, Ryan Wen Liu, Jianing Sun, and Tieyong Zeng. "Rank-One Prior: Toward Real-Time Scene Recovery." In 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2021. http://dx.doi.org/10.1109/cvpr46437.2021.01456.

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Ghasemkhani, Amir, Yunchuan Liu, and Lei Yang. "Real-time Event Detection Using Rank Signatures of Real-world PMU Data." In 2022 IEEE Power & Energy Society General Meeting (PESGM). IEEE, 2022. http://dx.doi.org/10.1109/pesgm48719.2022.9917156.

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Guo, Yuenan, Ying Fu, and Hua Huang. "Real-World Image Denoising via Weighted Low Rank Approximation." In 2019 IEEE International Conference on Multimedia & Expo Workshops (ICMEW). IEEE, 2019. http://dx.doi.org/10.1109/icmew.2019.00050.

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Zhao, Bo, Justin P. Haldar, Cornelius Brinegar, and Zhi-Pei Liang. "Low rank matrix recovery for real-time cardiac MRI." In 2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro. IEEE, 2010. http://dx.doi.org/10.1109/isbi.2010.5490156.

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Clark, M. P., and R. A. Roberts. "Real-time adaptive beamforming using rank-one eigenstructure updating." In Twenty-Third Asilomar Conference on Signals, Systems and Computers, 1989. IEEE, 1989. http://dx.doi.org/10.1109/acssc.1989.1200753.

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Wang, Xucheng, Dan Zeng, Qijun Zhao, and Shuiwang Li. "Rank-Based Filter Pruning for Real-Time UAV Tracking." In 2022 IEEE International Conference on Multimedia and Expo (ICME). IEEE, 2022. http://dx.doi.org/10.1109/icme52920.2022.9859656.

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Krishnapillai, Yogen, Zheng Pei Wu, and Rodolfo Pellizzoni. "A Rank-Switching, Open-Row DRAM Controller for Time-Predictable Systems." In 2014 26th Euromicro Conference on Real-Time Systems (ECRTS). IEEE, 2014. http://dx.doi.org/10.1109/ecrts.2014.37.

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Ecco, Leonardo, Adam Kostrzewa, and Rolf Ernst. "Minimizing DRAM Rank Switching Overhead for Improved Timing Bounds and Performance." In 2016 28th Euromicro Conference on Real-Time Systems (ECRTS). IEEE, 2016. http://dx.doi.org/10.1109/ecrts.2016.8.

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Reports on the topic "Real rank"

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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, August 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 group teaching vacancies were displayed in alphabetical order. In both arms, hard-to-staff schools were labeled with an icon and identical information was given to teachers. We find that a teacher in the treatment arm was more likely to apply to hard-to-staff schools, to rank them as their highest priority, and to be assigned to a job vacancy in one of these schools. The effects were not driven by inattentive, altruistic, or less-qualified teachers. The program has thus helped to reduce the unequal distribution of qualified teachers across schools of different socioeconomic backgrounds.
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Matar, Walid, and Doaa Filali. Alternative Fuels for Saudi Cement Manufacturing with Time-varying Carbon Pricing. King Abdullah Petroleum Studies and Research Center, January 2023. http://dx.doi.org/10.30573/ks--2022-dp12.

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After cement production in Saudi Arabia surged in the first half of the 2010s due to the country’s rapid economic development, it has slowed measurably in recent years as economic growth has declined. This is shown in Figure 1, along with the evolution of the Kingdom’s real gross domestic income (RGDI). Still, it ranks among the top 10 countries for existing cement kiln capacity. The Saudi cement industry has relied on Arab Heavy crude oil, heavy fuel oil (HFO), and natural gas to produce clinker, a key cement ingredient.
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