Academic literature on the topic 'Unitary rank'

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Journal articles on the topic "Unitary rank"

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Delvaux, Steven, and Marc Van Barel. "Unitary rank structured matrices." Journal of Computational and Applied Mathematics 215, no. 1 (2008): 49–78. http://dx.doi.org/10.1016/j.cam.2007.03.020.

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Elliott, George A., and Zhichao Liu. "Distance between unitary orbits in C∗-algebras with stable rank one and real rank zero." Journal of Operator Theory 86, no. 2 (2021): 299–316. http://dx.doi.org/10.7900/jot.2020apr21.2306.

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Let A be a C∗-algebra with stable rank one and real rank zero. In this paper, it is shown that the usual distance dU defined on the approximate unitary equivalence classes (or unitary orbits) of the positive elements in A is equal to the distance dW defined on morphisms from Cuntz semigroup of C0(0,1] to the Cuntz semigrout of A.
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Hanzer, Marcela. "Rank one reducibility for unitary groups." Glasnik matematicki 46, no. 1 (2011): 121–48. http://dx.doi.org/10.3336/gm.46.1.12.

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Flaschka, Hermann, and John Millson. "Bending Flows for Sums of Rank One Matrices." Canadian Journal of Mathematics 57, no. 1 (2005): 114–58. http://dx.doi.org/10.4153/cjm-2005-006-3.

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AbstractWe study certain symplectic quotients of n-fold products of complex projective m-space by the unitary group acting diagonally. After studying nonemptiness and smoothness of these quotients we construct the action-angle variables, defined on an open dense subset, of an integrable Hamiltonian system. The semiclassical quantization of this system reporduces formulas from the representation theory of the unitary group.
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Dudas, Olivier, and Gunter Malle. "Decomposition matrices for low-rank unitary groups." Proceedings of the London Mathematical Society 110, no. 6 (2015): 1517–57. http://dx.doi.org/10.1112/plms/pdv008.

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Bevilacqua, Roberto, Enrico Bozzo, and Gianna M. Del Corso. "Transformations to rank structures by unitary similarity." Linear Algebra and its Applications 402 (June 2005): 126–34. http://dx.doi.org/10.1016/j.laa.2004.12.029.

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Jiang, Yunjiang, Lon H. Mitchell, and Sivaram K. Narayan. "Unitary matrix digraphs and minimum semidefinite rank." Linear Algebra and its Applications 428, no. 7 (2008): 1685–95. http://dx.doi.org/10.1016/j.laa.2007.10.031.

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Delvaux, Steven, and Marc Van Barel. "Eigenvalue computation for unitary rank structured matrices." Journal of Computational and Applied Mathematics 213, no. 1 (2008): 268–87. http://dx.doi.org/10.1016/j.cam.2007.01.006.

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Barnet-Lamb, Thomas, Toby Gee, and David Geraghty. "Serre weights for rank two unitary groups." Mathematische Annalen 356, no. 4 (2013): 1551–98. http://dx.doi.org/10.1007/s00208-012-0893-y.

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Ye, Lynnelle. "Slopes in eigenvarieties for definite unitary groups." Compositio Mathematica 160, no. 1 (2023): 52–89. http://dx.doi.org/10.1112/s0010437x23007534.

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We generalize bounds of Liu–Wan–Xiao for slopes in eigencurves for definite unitary groups of rank $2$ to slopes in eigenvarieties for definite unitary groups of any rank. We show that for a definite unitary group of rank $n$ , the Newton polygon of the characteristic power series of the $U_p$ Hecke operator has exact growth rate $x^{1+2/{n(n-1)}}$ , times a constant proportional to the distance of the weight from the boundary of weight space. The proof goes through the classification of forms associated to principal series representations. We also give a consequence for the geometry of these
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Dissertations / Theses on the topic "Unitary rank"

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Henes, Matthew Thomas. "Root subgroups of the rank two unitary groups." CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2841.

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Discusses certain one-parameter subgroups of the low-rank unitary groups called root subgroups. Unitary groups also have representations of Lie type which means they consist of transformations that act as automorphisms of an underlying Lie algebra, in this case the special linear algebra. Exploring this definition of the unitary groups, we find a correlation, via exponentiation, to the basis elements of Lie algebra.
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RIVA, ENEA. "Slope inequalities for fibred surfaces and fibreed threefolds." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/374266.

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Su una varieta algebrica fibrata si definesce un invariante relativo detto slope che ne specifica la natura. Per queste fibrazioni un ruolo importante è svolto del fibrato di Hodge e dagli invarianti geometrici delle fibre generiche. In particulare in questa tesi ci concentreremo su superfici e threefold fibrati su curve, dando un stima dal basso della slope che dipenda del rango unitario del fibrato di hodge e da: - indice di clifford cella curva generale, nel caso di superfici; -dal genere geometrico ($p_{g}$) della superficie generale nel caso di threefold. infine sfrutteremo i risultati ot
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Jonsson, Clapton. "How post-electoral intraparty rank affects party unity in the Brazilian Chamber of Deputies." Thesis, Stockholms universitet, Latinamerikainstitutet, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-152378.

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Within the fields of electoral studies and legislative politics, the interest of this study is the Brazilian electoral system and the unity of the parties it produces. Specifically, I ask how post-electoral intraparty rank affects party unity. I determine post-electoral intraparty rank by comparing deputies’ vote share of the total national vote count. By compiling a database of 48 roll-call votes of 37 Federal Deputies from São Paulo, I compare how often the deputies toe the party line to their vote share. I also test for the geographical concentration of votes in cases where I find it relev
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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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Books on the topic "Unitary rank"

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Dyson, Freeman. Spectral statistics of unitary ensembles. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.4.

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This article focuses on the use of the orthogonal polynomial method for computing correlation functions, cluster functions, gap probability, Janossy density, and spacing distributions for the eigenvalues of matrix ensembles with unitary-invariant probability law. It first considers the classical families of orthogonal polynomials (Hermite, Laguerre, and Jacobi) and some corresponding unitary ensembles before discussing the statistical properties of N-tuples of real numbers. It then reviews the definitions of basic statistical quantities and demonstrates how their distributions can be made expl
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Automorphic Representations of Low Rank Groups. World Scientific Publishing Company, 2006.

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Automorphic Representations of Low Rank Groups. Birkhauser, 2009.

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Lukas, Andre. The Oxford Linear Algebra for Scientists. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198844914.001.0001.

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Abstract This book provides a introduction into linear algebra which covers the mathematical set-up as well as applications to science. After the introductory material on sets, functions, groups and fields, the basic features of vector spaces are developed, including linear independence, bases, dimension, vector subspaces and linear maps. Practical methods for calculating with dot, cross and triple products are introduced early on. The theory of linear maps and their relation to matrices is developed in detail, culminating in the rank theorem. Algorithmic methods bases on row reduction and det
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Solomon, Norman. 5. The spiritual life—prayer, meditation, Torah. Oxford University Press, 2014. http://dx.doi.org/10.1093/actrade/9780199687350.003.0006.

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What does spirituality mean in Judaism? What is prayer and does it work? Prayer is a vital concern in Judaism, and one of the major forms in which spirituality is expressed. Equal in rank, or perhaps even higher, is learning. ‘The spiritual life—prayer, meditation, Torah’ considers the place of spirituality in Jewish worship. The most universal, accessible, and distinctive form of Jewish spirituality is Torah study. Learning the Torah is an expression of love that spans over generations. It is a unity of souls. It unites those who hand it down with those who receive it.
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Avilez, GerShun. The Suspicion of Kinship. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252040122.003.0003.

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This chapter clarifies how the impulse to close ranks raised concerns about the prioritizing of the collective over the individual. Black collectivity is expressed as kinship in the nationalist imagination, so there is an overriding anxiety about metaphors of family, which assume an intimacy or affiliation that might not be present. The chapter then examines texts informed by nationalism that challenge this investment in kinship. These include John A. Williams's Black Arts historical novel The Man Who Cried I Am (1967), Alice Walker's debut novel The Third Life of Grange Copeland (1970), and G
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Locke, Cybèle. Maori Sovereignty, Black Feminism, and the New Zealand Trade Union Movement. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252037153.003.0017.

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In 1982, an incident occurred at the Auckland Trade Union Centre in New Zealand. A small group of Maori radicals, called Black Unity, who ran the Polynesian Resource Centre were accused of antitrade unionism and racism and, consequently, were evicted from the Auckland Trade Union Centre with the assistance of the New Zealand police. This chapter explores the radical ideas of Maori sovereignty and Black feminism propagated by Black Unity that inflamed Auckland trade unionists, focusing on the writings of the group's spokeswomen, Ripeka Evans and Donna Awatere. It chapter examines the philosophi
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Avilez, GerShun. The Claim of Innocence. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252040122.003.0002.

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This chapter tracks how artists inhabit the subjective space of whiteness as a closing ranks move. This idea may seem counterintuitive, but for many thinkers, exploring whiteness is useful in determining the conventional parameters of Black identity. The act of identifying and challenging these boundaries creates the opportunity for imagining a unity not plagued by restrictive conceptions of blackness. Therefore, turning inward does not appear as a mere rejection of whiteness in favor of shoring up blackness. The chapter then highlights how the rhetoric of White innocence provides the foundati
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Archer, Richard. Unity and Uplift. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190676643.003.0004.

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Any attempt to reverse the condition of African Americans in New England had to consider what a small fraction of the overall population they were. Success depended upon unity of African Americans and changing attitudes and behaviors of white New Englanders. This chapter analyzes those efforts from what to call themselves to creating black institutions to enlisting white support. Activists in the 1830s largely focused on the tactic of uplift, primarily meaning education and self-improvement societies. The idea was that African Americans needed to improve themselves to reduce white prejudice as
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Goodhew, David. Respectability and Resistance. Greenwood Publishing Group, Inc., 2004. http://dx.doi.org/10.5040/9798216984887.

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Respectability and Resistanceis the first major history of the black township of Sophiatown in western Johannesburg. Sophiatown, together with the neighboring townships of Newclare and Western Native Township, formed the center of black South African urban culture and politics in the 1940s and 1950s. Using a wealth of sources including oral history and much previously unknown archival material, Goodhew provides a detailed portrait of Sophiatown life. The widow turning to illegal liquor production to get her children a good education, the gang of miners who made common cause with the white poli
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Book chapters on the topic "Unitary rank"

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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. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0073016.

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Howe, Roger. "On A Notion of Rank for Unitary Representations of the Classical Groups." In Harmonic Analysis and Group Representation. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11117-4_4.

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Dym, Harry. "On Reproducing Kernel Spaces, J Unitary Matrix Functions, Interpolation and Displacement Rank." In The Gohberg Anniversary Collection. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9278-0_11.

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Dym, Harry. "On Reproducing Kernel Spaces, J Unitary Matrix Functions, Interpolation and Displacement Rank." In The Gohberg Anniversary Collection. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9144-8_28.

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Gross, Benedict H., and Nolan R. Wallach. "A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4." In Lie Theory and Geometry. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0261-5_10.

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Joseph, Anthony. "Orbital Varieties, Goldie Rank Polynomials and Unitary Highest Weight Modules." In Algebraic and Analytic Methods in Representation Theory. Elsevier, 1997. http://dx.doi.org/10.1016/b978-012625440-2/50003-3.

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Franchini, Sandro. "Sulla storia dell’Istituto Veneto." In Venezia 1868: l’anno di Ca’ Foscari. Edizioni Ca' Foscari, 2018. http://dx.doi.org/10.30687/978-88-6969-294-9/009.

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The National Institute of Science, Letters and Arts founded by Napoleon in 1810, ‘regenerated’ in 1838 by the Emperor of Austria Ferdinand I, who renamed it Imperial Regio Istituto Veneto di Scienze, Lettere ed Arti, was created to represent the top of a complex system of studies and knowledge management. Promoter of scientific and technological innovations, it boasts Italian and foreign corresponding members, guaranteeing a national and international dimension that was then sanctioned also by the new Italian Kingdom: the Reale Istituto Veneto, in fact, was placed, by rank and official recogni
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Fry, Zachery A. "Erase Every Devil of Them." In A Republic in the Ranks. University of North Carolina Press, 2020. http://dx.doi.org/10.5149/northcarolina/9781469654454.003.0005.

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This chapter dissects the effects of Chancellorsville and Gettysburg on the army's organization as well as the army's activity during the crucial 1863 gubernatorial election season. Some Republican officers and men, including many who had led the war of words against Copperheads previously, knew of General McClellan's political positions and already considered him a threat to Northern unity in the struggle. The vast majority of the army still revered him, however. When General George Meade oversaw an effort to collect an army-wide testimonial of affection for McClellan, several Republican offi
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Sann, Tamara. "Introduction: The Unity of Social Laws." In Interpreting Islam. Oxford University PressNew York, NY, 1996. http://dx.doi.org/10.1093/oso/9780195100518.003.0005.

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Abstract We know that the first to set out the principles of historiography and the methods of historical criticism were Western historians such as Niebuhr, von Ranke, and Schlosser, among others. But those historians—ignorant, for the most part, of the history of the East—based their opinions on the history of the West alone.
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Gaukroger, Stephen. "The Promotion of Unification." In Civilization and the Culture of Science. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198849070.003.0004.

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The nineteenth-century cultural elevation of science puts it in some respects in an analogous position to that previously occupied by religion in marking out Western civilization. Beginning in the nineteenth century in Germany, France, and Britain, there developed a comprehensive cultural investment in the idea of the unity of science, which played a crucial role in taking over this task from religion. In this chapter the political, social, and ideological motivations behind the nineteenth-century advocacy of the unity of science are explored. At the same time, it examines the formative moves
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Conference papers on the topic "Unitary rank"

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Tayem, Nizar, and Mort Naraghi-Pour. "Unitary Root MUSIC and Unitary MUSIC with Real-Valued Rank Revealing Triangular Factorization." In MILCOM 2007 - IEEE Military Communications Conference. IEEE, 2007. http://dx.doi.org/10.1109/milcom.2007.4454816.

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Zhu, Yanghui, Xianpeng Wang, Liangtian Wan, Mengxing Huang, Wenlong Feng, and Juwei Wang. "Unitary Low-Rank Matrix Decomposition for DOA Estimation in Nonuniform Noise." In 2018 IEEE 23rd International Conference on Digital Signal Processing (DSP). IEEE, 2018. http://dx.doi.org/10.1109/icdsp.2018.8631590.

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Wang, Rui, Pinyi Ren, and Wenshan Yin. "Reduced-Rank Equalization of Unitary Multistage Wiener Filter Based on Rectangle Blocking Matrix for Multiple Input Multiple Output." In 2009 5th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM). IEEE, 2009. http://dx.doi.org/10.1109/wicom.2009.5301765.

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Zhang, Yuheng, Zhongyi Han, and Zhirui Ye. "A Real-Time Multiplayer SUMO-Unity Co-Simulation Platform for Vehicle-Aircraft Coordinated Operation." In 2024 International Conference on Smart Transportation Interdisciplinary Studies. SAE International, 2025. https://doi.org/10.4271/2025-01-7197.

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&lt;div class="section abstract"&gt;&lt;div class="htmlview paragraph"&gt;As the demands for air travel and air cargo continue to grow, airport surface operations are becoming increasingly congested, elevating the operational risks for all entities. Conventional measurement methods in airport traffic scenarios are limited by high temporal and spatial costs, uncontrollable variables, and their inabilities to account for low-probability events. Moreover, current simulation software for airport operations exhibits weak simulation capabilities and poor interactivity. To address these issues, this
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Jia, Yuanxin, and John Morris. "A User-Friendly Mobile Application to Accelerate the Attainment of the First Class Rank in the Boy Scouts of America using the Unity Engine." In 3rd International Conference on Advances in Computing & Information Technologies. Academy & Industry Research Collaboration, 2023. http://dx.doi.org/10.5121/csit.2023.131512.

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The process of Scouts within the Boy Scouts of America ranking up to First Class, and eventually Eagle, can be quite gruesome and challenging [1]. Though there are various resources online ranging from articles and videos that explain how to potentially speed up the ranking process, none of them actually give an effective solution to the problem. Scouts nowadays lack things like attention span because of the harmful side of social media, especially TikTok [2]. They don’t want tips and tricks on how to rank faster, and they also don’t want to flip through massive textbooks to find the answers t
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Hofsteenge, Jesse W., and Jim B. W. Kok. "Performance of FGM in Bluff-Body Stabilized H2-CO Diffusion Flame." In ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/gt2022-82937.

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Abstract Blends of H2 with CH4 and/or CO have become of interest with hydrogen as sustainable fuel. In the past, numerical models were derived to simulate combustion of H2-CO (syngas) mixtures. This paper compares the performance of a newly implemented Flamelet Generated Manifold (FGM) combustion model to an earlier model by Correa and Pope and experimental data in the bluff-body stabilized syngas flame by Correa and Gulati. The FGM in the presented model consists of premixed flamelets stretching the flammable region, parametrized by mixture fraction and Computational Singular Perturbation-bas
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SOLOVIOVA, Liudmyla. "HAPPINESS AS A VALUE FOR A PRESCHOOL CHILD." In Happiness And Contemporary Society : Conference Proceedings Volume. SPOLOM, 2021. http://dx.doi.org/10.31108/7.2021.57.

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The article is devoted to the explaining of the features of the terminal value of "happiness" at the stage of its appropriation by a child of senior preschool age. The applied diagnostic methods are presented: "Express diagnostics of the sphere of value orientations of a preschooler" and observation "Diagnostics of the levels of manifestation of the activity structural component of the value orientations of senior preschoolers". The structure of values of preschoolers in the unity of their cognitive, emotional and activity components is outlined. The state of formation of the structure value-g
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Shih, T. I. P., C. S. Lee, and K. M. Bryden. "Scaling Heat-Transfer Coefficients Measured Under Laboratory Conditions to Engine Conditions." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64039.

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Almost all measurements of the heat-transfer coefficient (HTC) or Nusselt number (Nu) in gas-turbine cooling passages with heat-transfer enhancement features such as pin fins and ribs have been made under conditions, where the wall-to-bulk temperature, Tw/Tb, is near unity. Since Tw/Tb in gas-turbine cooling passages can be as high as 2.2 and vary appreciably along the passage, this study examines if it is necessary to match the rate of change in Tw/Tb when measuring Nu, whether Nu measured at Tw/Tb near unity needs to be scaled before used in design and analysis of turbine cooling, and could
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Hossain, Mohammad A., Robin Prenter, Ryan K. Lundgreen, Ali Ameri, James W. Gregory, and Jeffrey P. Bons. "Experimental and Numerical Investigation of Sweeping Jet Film Cooling." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64479.

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A companion experimental and numerical study was conducted of the performance of a row of 5 sweeping jet (SJ) film cooling holes consisting of conventional curved fluidic oscillators with an aspect ratio (AR) of unity and a hole spacing of P/D = 8.5. Adiabatic film effectiveness (η), thermal field (θ), convective heat transfer coefficient (h) and discharge coefficient (CD) were measured at two different freestream turbulence levels (Tu = 0.4% and 10.1%) and four blowing ratios (M = 0.98, 1.97, 2.94 and 3.96) at a density ratio (DR) of 1.04 and hole Reynolds number of ReD = 2800. Adiabatic film
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Weber, Anton, Christian Morsbach, Edmund Kügeler, Christoph Rube, and Matthias Wedeking. "Flow Analysis of a High Flowrate Centrifugal Compressor Stage and Comparison With Test Rig Data." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56551.

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The flow field inside a single-stage centrifugal compressor characterized by a high flowrate of Φ = 0.15 and a design total pressure ratio of approximately 1.4 is analysed numerically. The stage geometry consists of a radially oriented inlet duct with uniform inflow without swirl, a 90 deg inlet bend in front of the impeller, the shrouded impeller itself followed by a large radial vaneless diffuser, a 180 deg U-turn, a radially oriented turning vane, a subsequent 90 deg bend, and as the last item a long axial exit duct. The impeller blades have large fillets at hub and tip and thick blunt trai
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Reports on the topic "Unitary rank"

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Bourrier, Mathilde, Michael Deml, and Farnaz Mahdavian. Comparative report of the COVID-19 Pandemic Responses in Norway, Sweden, Germany, Switzerland and the United Kingdom. University of Stavanger, 2022. http://dx.doi.org/10.31265/usps.254.

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The purpose of this report is to compare the risk communication strategies and public health mitigation measures implemented by Germany, Norway, Sweden, Switzerland, and the United Kingdom (UK) in 2020 in response to the COVID-19 pandemic based on publicly available documents. The report compares the country responses both in relation to one another and to the recommendations and guidance of the World Health Organization where available. The comparative report is an output of Work Package 1 from the research project PAN-FIGHT (Fighting pandemics with enhanced risk communication: Messages, comp
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