Relevant bibliographies by topics / Unitary rank

Academic literature on the topic 'Unitary rank'

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Published: 9 March 2023
Last updated: 10 March 2023

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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 (May 2008): 49–78. http://dx.doi.org/10.1016/j.cam.2007.03.020.

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Hanzer, Marcela. "Rank one reducibility for unitary groups." Glasnik matematicki 46, no. 1 (June 12, 2011): 121–48. http://dx.doi.org/10.3336/gm.46.1.12.

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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 (November 15, 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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Dudas, Olivier, and Gunter Malle. "Decomposition matrices for low-rank unitary groups." Proceedings of the London Mathematical Society 110, no. 6 (April 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 (April 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 (March 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 (January 9, 2013): 1551–98. http://dx.doi.org/10.1007/s00208-012-0893-y.

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Flaschka, Hermann, and John Millson. "Bending Flows for Sums of Rank One Matrices." Canadian Journal of Mathematics 57, no. 1 (February 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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PARIS, MATTEO G. A. "UNITARY LOCAL INVARIANCE." International Journal of Quantum Information 03, no. 04 (December 2005): 655–59. http://dx.doi.org/10.1142/s0219749905001523.

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We address unitary local (UL) invariance of bipartite pure states. Given a bipartite state |Ψ〉〉 = ∑ij ψij |i〉1 ⊗ |j〉2 the complete characterization of the class of local unitaries U1 ⊗ U2 for which U1 ⊗ U2|Ψ〉〉 = |Ψ〉〉 is obtained. The two relevant parameters are the rank of the matrix Ψ, [Ψ]ij = ψij, and the number of its equal singular values, i.e. the degeneracy of the eigenvalues of the partial traces of |Ψ〉〉.
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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 ottenuti sui threefold per definere un upper bound del rango unitario $u_{f}$ in funzione di $p_{g}$ sotto l'ipotesi che il genere della curva base sia zero o uno.
On a fibred algebraic variety, is defined a relative invariant called slope which classifies the variety itself. For these fibration a main character is played by the Hodge bundle and by the geometric invariants of the general fibers. In particular in this thesis we focus on surfaces and threefolds fibred over curves, and we give a lower bound for the slope which depends on the unitary rank of the hodge bundle and on: -the clifford index of the general curve, in case of fibred surfaces; - the geometric genus ($p_{g}$) of the general surface, in case of threefolds. Finally we use these results on fibred threefolds to make a new upper bound for the unitary rank $u_{f}$ depending on $p_{g}$ under the hypothesis that the genus of the base curve is zero or one.
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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 relevant. My hypothesis is that deputies elected with a low vote share will vote according to their party’s recommendation to a larger degree than those deputies with a strong electoral base. I find that, based only on roll-call vote analysis, the complete sample does not demonstrate a strong relationship between voting agreement and vote share (or post-electoral rank). However, by analyzing significant cases individually, I do find a basis for my hypothesis, as well as indicators of theoretical consistency in the sample. The basis is for the most part strengthened when controlling for vote concentration. I conclude that deputies whose largest electoral base is centered in cities seem to be more autonomous in their voting, most likely for ideological reasons rather than reasons motivated by pork-barrel spending.
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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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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
We present a study of rank-one perturbations of self-adjoint and unitary operators, in particular related to the so-called Kotani’s trick. In Chapter 2 we recall relevant definitions and elementary facts. In Chapter 3 we present recent results by Marx, which involve self-adjoint operators and Hausdorff measures. A generalization of such results to the set of unitary operators is described in Chapter 4.
Apresentaremos um estudo realizados sobre pertubações de posto 1 de operadores auto-adjuntos e unitários, particularmente relacionados ao chamado truque de Kotani. O Capítulo 2 consiste na exposição de definições elementares e fatos básicos que serão utilizados nos outros capítulos. O Capítulo 3 consiste na exposição de um estudo feito de um artigo recente de Marx sobre o tema, envolvendo operadores autoadjuntos e medidas de Hausdorff. Uma generalização dos resultados obtidos no artigo já mencionado para o contexto de operadores unitários é discutida no Capítulo 4.
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Books on the topic "Unitary rank"

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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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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 explicit in terms of orthogonal polynomials. It also describes the k-point correlation function, Fredholm determinants of finite-rank kernels, and resolvent kernels.
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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 determinants are discussed an applied to computing the rank and the inverse of matrices and to solve systems of linear equations. Eigenvalues and eigenvectors and the application to diagonalising linear maps, as well as scalar products and unitary linear maps are covered in detail. Advanced topics included are the Jordon normal form, normal linear maps, the singular value decomposition, bi-linear and sesqui-linear forms, duality and tensors. The book also included short expositions of diverse scientific applications of linear algebra, including to internet search, classical mechanics, graph theory, cryptography, coding theory, data compression, special relativity, quantum mechanics and quantum computing.
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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 Gloria Naylor's fictionalized memoir 1996 (2005). Williams, Walker, and Naylor all acknowledge the need for closing ranks efforts within oppressive environments, but their disjointed narratives gesture toward alternative terms of unity.
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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 philosophical position that Maori nationalist members of Black Unity espoused. It explores the historical context for the demand for Maori sovereignty first articulated by Black Unity in 1981; explains why the Maori sovereignty position was also a Black feminist position; and asks what led Maori women to turn with such anger on the radical Left in the early 1980s Finally, it analyzes the longer-term affect of Maori sovereignty demands on the Maori protest movement, the women's movement, the sectarian Left, and the trade union movement.
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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 foundation for both racial and gender frameworks in the U.S. social imaginary. The desire to generate a radical Black identity includes dismantling this rhetoric, which permeates media and popular thought.
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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 well as for their own well-being. This chapter also includes discussions of colonization, white allies (including Garrison, The Liberator, and antislavery societies), racism within abolitionist ranks, and the appearance of “scientific” racism.
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Григорьева, Регина Антоновна, Надежда Георгиевна Деметер, Светлана Станиславовна Крюкова, Татьяна Александровна Листова, Александр Викторович Гурко, Александра Владимировна Верещагина-Гурко, Любовь Васильевна Ракова, Ирина Васильевна Романенко, and Наталья Станиславовна Бункевич. Граница, идентичность, культура: этнография белорусско-российского пограничья: коллективная монография / отв. ред. Р.А. Григорьева, Н.Г. Деметер, А.В. Гурко / Ин-т этнологии и антропологии РАН; Центр исследований белорусской культуры, языка и литературы НАНБ. Институт этнологии и антропологии РАН, 2020. http://dx.doi.org/10.33876/978-5-4211-0255-7/1-360.

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В монографии представлены результаты совместных исследований белорусских и российских этнологов, которые проводились по всему периметру белорусско-российского пограничья: в Гомельской, Могилевской, Витебской областях со стороны Республики Беларусь; Брянской, Смоленской, Псковской со стороны РФ. На основе многолетних полевых изысканий, с привлечением архивных материалов, данных социологических опросов, были выявлены единство и/или различия элементов культуры по разные стороны границы во всем их многообразии, и обозначены трансграничные этнокультурные ареалы. Одна из ключевых проблем исследования – особенности формирования этнической идентичности в разных государствах и в условиях слабой этнокультурной отличительности жителей на пограничном пространстве. Изучение трансграничных связей и контактов имеет практическое значение для формирования различного рода сотрудничества между соседними странами. Книга предназначена для специалистов в области этнологии и других гуманитарных наук, а также для широкого круга читателей. Border, identity, culture: ethnography of the Belarusian-Russian borderland. collective monograph / executive. ed. R.A. Grigorieva, N.G. Demeter, A.V. Gurko / Institute of Ethnology and Anthropology RAS; Center for Research of Belarusian Culture, Language and Literature of the National Academy of Sciences of Belarus. - M .: IEA RAN, 2020 .-- 360 p. This monograph represents the results of joint research of Belarusian and Russian ethnologists, which were carried out along the entire perimeter of the Belarusian-Russian border area: in the Gomel, Mogilev, Vitebsk regions from the Republic of Belarus; Bryansk, Smolensk, Pskov from the Russian Federation. On the basis of many years of field research, with the involvement of archival materials, data from sociological surveys, the unity and / or differences of cultural elements on different sides of the border in all their diversity were identified, and transboundary ethnocultural areas were identified. One of the key problems of the study is the peculiarities of the formation of ethnic identity in different states and in the conditions of weak ethnocultural distinctiveness of residents in the border area. The study of cross-border relations and contacts has a practical importance for the formation of various kinds of cooperation between neighboring countries. The book is dedicated for specialists in the field of ethnology and other humanities, as well as for a wide range of readers.
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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, 15–36. Berlin, Heidelberg: 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, 224–331. Berlin, Heidelberg: 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, 173–239. Basel: 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, 665–731. Basel: 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, 289–304. Boston, MA: 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, 53–98. 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. Venice: 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 recognition, among the national Academies of the pre-unitary States called to form the various higher councils of Public Education. The Institute also provides the State and local administrations with advice on specific cultural or technical issues, relating to higher education programmes or land management, on topics ranging from meteorology to public health, to hydrological, but also on linguistic issues, and organizes periodic exhibitions of artefacts and machinery to encourage innovation in agricultural and industrial production.
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Fry, Zachery A. "Erase Every Devil of Them." In A Republic in the Ranks, 99–127. 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 officers criticized the move in the press and ignited a partisan controversy. Soon after the scheme fell apart, McClellan endorsed the Democratic candidate for Pennsylvania governor, an act which infuriated the army and disabused many of the general's previous admirers. The chapter assesses the army vote in the Ohio, Maine, and Wisconsin governor races as well.
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Gaukroger, Stephen. "The Promotion of Unification." In Civilization and the Culture of Science, 77–103. 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 in the establishment of the unity of science, particularly the attempts of the British Association for the Advancement of Science to regiment the sciences, that is, to decide what to include and what to exclude from the rubric of science, and to order and rank those that it included.
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Calabresi, Steven Gow. "The State of Israel." In The History and Growth of Judicial Review, Volume 1, 311–36. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780190075774.003.0009.

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This chapter studies the emergence of judicial review in Israel, which is a rights from wrongs reaction to the Holocaust, Nazism, and Fascism. Israeli judicial review did not arise to fulfill a need for a federalism or separation of powers umpire, since Israel is a unitary nation-state without a separation of powers system. Israeli judicial review emerged in weakened form as a consequence of the Zionist mass mobilization, which led to the creation of Israel and to the issuance of Israel’s Declaration of Independence, as is explained by Professor Ackerman. Israeli adoption of written constitutionalism and of judicial review was probably, in part, a function of borrowing. I consider, and reject, Professor Ran Hirschl’s argument that Israeli judicial review originated as a power grab by a fading Ashkenazi Israeli elite. I think that proportional representation has resulted in so many political parties holding seats in the Knesset that the Supreme Court has much more power relative to the legislature than is the case in a G-20 nation with a parliamentary, unitary with an electoral system like Japan’s. I also think Israel’s common law heritage contributed to its adoption of judicial review.
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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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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-based reaction progress variable. RANS simulations are performed in Fluent with k-ε, k-ω SST and Reynolds Stress Model turbulence modelling. Radial and axial profile plots of temperature and major species concentrations showed generally improved results with the FGM model, although locally deviations occur. Causes for these deviations are scrutinized: the use of premixed opposed to diffusion flamelets and the unity Lewis number assumption.
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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-goal "happiness" of the studied children is characterized. Senior preschoolers' ideas about "happiness" is presented. The level of significance of "happiness" for children in comparison with other important values is determined: "family", "health", "creativity", "friendship", "money", "beauty of nature", "beauty of technology". It is established that "happiness" ranks first among effective values. It is concluded that senior preschoolers feel happy when they are involved in meaningful, independent, creative activities. KEY WORDS: happiness, preschool child, structure of values, terminal values, value regulation.
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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 that scaling for ducts with heat-transfer enhancement features be obtained from scaling factors for smooth ducts because those scaling factors exist in the literature. In this study, a review of the data in the literature shows that it is unnecessary to match the rate of change in Tw/Tb for smooth ducts at least for the rates that occur in gas turbines. For ducts with heat-transfer enhancement features, it is still an open question. This study also shows Nu measured at Tw/Tb near unity needs to be scale to the correct Tw/Tb before it can be used for engine conditions. By using steady RANS analysis of the flow and heat transfer in a cooling channel with a staggered array of pin fins, the usefulness of the scaling factor, (Tw/Tb)r, from the literature for smooth ducts was examined. Nuengine, computed under engine conditions, was compared with those computed under laboratory conditions, Nulab, and scaled by (Tw/Tb)r; i.e., Nulab,scaled = Nulab (Tw/Tb)r. Results obtained show the error in Nulab,scaled relative to Nuengine can be as high as 36.6% if r = −0.7 and Tw/Tb = 1.573 in the “fully” developed region. Thus, (Tw/Tb)r based on smooth duct should not be used as a scaling factor for Nu in cooling passages with heat-transfer enhancement features. To address this inadequacy, a method is proposed for generating scaling factors, and a scaling factor was developed to scale the heat transfer from laboratory to engine conditions for a channel with pin fins.
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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 effectiveness and thermal field data were also acquired for a baseline 777-shaped hole. The sweeping jet film cooling hole showed significant improvement in cooling effectiveness in the lateral direction due to the sweeping action of the fluidic oscillator. An unsteady RANS simulation was performed to evaluate the flow field at the exit of the hole. Time resolved flow fields revealed two alternating streamwise vortices at all blowing ratios. The sense of rotation of these alternating vortices is opposite to the traditional counter rotating vortex pair (CRVP) found in a ‘jet in crossflow’ and serves to spread the film coolant laterally.
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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 trailing edges. Due to the rotating shroud, a labyrinth seal is placed above the impeller with 5 seal tips. The complete leakage region is also included in the CFD analysis. The blade numbers for the impeller and vane are 15 and 14, respectively. The test rig has recently been built at the Institute of Propulsion and Turbomachinery at RWTH Aachen University (Germany). The first part of the CFD work presented was carried out before the first experimental data were available. Using the k-ω turbulence model of Wilcox (1988), a number of principal steady RANS calculations were performed to investigate the following: Impact of near wall grid resolution and turbulence model wall boundary condition treatment, impact of impeller fillets, and the influence of leakage flow. This part is completed by a comparison of steady RANS simulations with the time-mean results of unsteady RANS analyses of one blade passage. For the calculations presented in the second part, experimental data are available at the inflow and outflow planes. At these planes overall mean values were deduced. Additionally, 3- and 5-hole probe data are available at spanwise traverse planes located at the zenith of the U-turn and in the exit plane. For part two a finer grid with y+ values of approximately unity for all solid walls was used. In addition to the Wilcox k-ω model and the Menter SST k-ω model, two higher level turbulence models — the explicit algebraic Reynolds stress model Hellsten EARSM k-ω and the differential Reynolds stress model SSG/LRR-ω — have been tested and compared with the experiments. The agreement in terms of overall performance (total pressure ratio, isentropic efficiency) is satisfactory for all turbulence models used, but there are some differences: the k-ω model is shown to be the most stable one towards stall. On the other hand, it is shown that details of the flow field in terms of the two spanwise traverses can be better represented by the more advanced turbulence models. All CFD simulations have been performed at 100% shaft speed.
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Deshpande, Srikanth, Marcus Thern, and Magnus Genrup. "Reduction in Secondary Losses in Turbine Cascade Using Contoured Boundary Layer Fence." In ASME 2014 Gas Turbine India Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gtindia2014-8175.

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Present work deals with reducing secondary losses in turbine cascade by using boundary layer fences in two ways. Firstly, to reduce the strength of vortex which is incident at the leading edge of airfoil and hence reduce the strength of horse shoe vortex, and secondly, to reduce the pressure gradient between the pressure side and the suction side in the flow passage region between airfoils. In previous works, the boundary layer fence followed the profile of airfoil. In this publication, boundary layer fence does not follow the profile of airfoil i.e stagger and camber of boundary fence is different when compared to airfoil. A profiled boundary layer fence is proposed in the present work which reduces the incident vorticity and also reduces pressure gradient from pressure side to suction side. Such boundary layer fence was checked on T106 test cascade which is available as open literature. Numerical work is carried out using commercial software Ansys CFX. Viscous RANS simulations are carried out using k-ω SST turbulence model with yplus value around unity on all walls. Coefficient of secondary kinetic energy (CSKE) and Secondary Kinetic energy helicity (SKEH) are used as target functions. Total pressure loss is also monitored. All the three functions show a reduction in secondary loss. The strength of horse shoe vortex is reduced by the fence protruding in front of leading edge. The converging flow passage created by the fence near the pressure side of airfoil reduces the pressure gradient from pressure side to suction side. The total pressure loss was reduced by 1.5 % and CSKE was improved by 36 % when the boundary layer fence was adopted.
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Xia, Yu, Patrick Sharkey, Stefano Orsino, Mike Kuron, Florian Menter, Ishan Verma, Robert Malecki, and Baris Sen. "SBES/FGM Simulation of Film-Cooled Surface Heat Transfer and Near-Wall Reaction." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-14717.

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Abstract Accurate numerical prediction of surface heat transfer in the presence of film cooling within aero-engine sub-components, such as blade effusion holes and combustor liners, has long been a goal of the aero-engine industry. It requires accurate simulation of the turbulent mixing and reaction processes between freestream and the cooling flow. In this study, the Stress Blended Eddy Simulation (SBES) turbulence model is used together with the Flamelet Generated Manifold (FGM) combustion model to calculate the surface heat flux upstream and downstream of an effusion cooling hole. The SBES model employs a blending function to automatically switch between RANS and LES based on the local flow features, and thus significantly reduces the computational cost compared to a full LES simulation. All simulations are run using ANSYS Fluent®, a commercial finite-volume CFD solver. The test case corresponds to an experimental rig run at MIT, which is essentially a flat plate brushed by a uniform freestream of argon with ethylene seeded inside, and is cooled by either a reacting air or non-reacting nitrogen jet inclined at 35 degrees to the freestream. Calculations are performed for both reacting and non-reacting jet cooling cases across a range of jet-to-stream blowing ratios, and compared with the experimental data. The effects of mesh resolution are also investigated. Calculations are also performed across a range of Damköhler number (i.e. flow to chemical time ratio) from zero to 30, with unity blowing ratio, and the differences in the maximum surface heat flux magnitude in the reacting and non-reacting cases at a specific location downstream of the hole are investigated. Results from these analyses show good correlation with the experimental heat flux data upstream and downstream of the cooling hole, including the heat flux augmentation due to local reaction. Results from the Damköhler number sweep also show a good match with the experimental data across the range investigated.
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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, November 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, compliance and vulnerability during the COVID-19 outbreak), which is financially supported by the Norwegian Research Council's extraordinary programme for corona research. PAN-FIGHT adopts a comparative approach which follows a “most different systems” variation as a logic of comparison guiding the research (Przeworski & Teune, 1970). The countries in this study include two EU member States (Sweden, Germany), one which was engaged in an exit process from the EU membership (the UK), and two non-European Union states, but both members of the European Free Trade Association (EFTA): Norway and Switzerland. Furthermore, Germany and Switzerland govern by the Continental European Federal administrative model, with a relatively weak central bureaucracy and strong subnational, decentralised institutions. Norway and Sweden adhere to the Scandinavian model—a unitary but fairly decentralised system with power bestowed to the local authorities. The United Kingdom applies the Anglo-Saxon model, characterized by New Public Management (NPM) and decentralised managerial practices (Einhorn & Logue, 2003; Kuhlmann & Wollmann, 2014; Petridou et al., 2019). In total, PAN-FIGHT is comprised of 5 Work Packages (WPs), which are research-, recommendation-, and practice-oriented. The WPs seek to respond to the following research questions and accomplish the following: WP1: What are the characteristics of governmental and public health authorities’ risk communication strategies in five European countries, both in comparison to each other and in relation to the official strategies proposed by WHO? WP2: To what extent and how does the general public’s understanding, induced by national risk communication, vary across five countries, in relation to factors such as social capital, age, gender, socio-economic status and household composition? WP3: Based on data generated in WP1 and WP2, what is the significance of being male or female in terms of individual susceptibility to risk communication and subsequent vulnerability during the COVID-19 outbreak? WP4: Based on insight and knowledge generated in WPs 1 and 2, what recommendations can we offer national and local governments and health institutions on enhancing their risk communication strategies to curb pandemic outbreaks? WP5: Enhance health risk communication strategies across five European countries based upon the knowledge and recommendations generated by WPs 1-4. Pre-pandemic preparedness characteristics All five countries had pandemic plans developed prior to 2020, which generally were specific to influenza pandemics but not to coronaviruses. All plans had been updated following the H1N1 pandemic (2009-2010). During the SARS (2003) and MERS (2012) outbreaks, both of which are coronaviruses, all five countries experienced few cases, with notably smaller impacts than the H1N1 epidemic (2009-2010). The UK had conducted several exercises (Exercise Cygnet in 2016, Exercise Cygnus in 2016, and Exercise Iris in 2018) to check their preparedness plans; the reports from these exercises concluded that there were gaps in preparedness for epidemic outbreaks. Germany also simulated an influenza pandemic exercise in 2007 called LÜKEX 07, to train cross-state and cross-department crisis management (Bundesanstalt Technisches Hilfswerk, 2007). In 2017 within the context of the G20, Germany ran a health emergency simulation exercise with WHO and World Bank representatives to prepare for potential future pandemics (Federal Ministry of Health et al., 2017). Prior to COVID-19, only the UK had expert groups, notably the Scientific Advisory Group for Emergencies (SAGE), that was tasked with providing advice during emergencies. It had been used in previous emergency events (not exclusively limited to health). In contrast, none of the other countries had a similar expert advisory group in place prior to the pandemic. COVID-19 waves in 2020 All five countries experienced two waves of infection in 2020. The first wave occurred during the first half of the year and peaked after March 2020. The second wave arrived during the final quarter. Norway consistently had the lowest number of SARS-CoV-2 infections per million. Germany’s counts were neither the lowest nor the highest. Sweden, Switzerland and the UK alternated in having the highest numbers per million throughout 2020. Implementation of measures to control the spread of infection In Germany, Switzerland and the UK, health policy is the responsibility of regional states, (Länders, cantons and nations, respectively). However, there was a strong initial centralized response in all five countries to mitigate the spread of infection. Later on, country responses varied in the degree to which they were centralized or decentralized. Risk communication In all countries, a large variety of communication channels were used (press briefings, websites, social media, interviews). Digital communication channels were used extensively. Artificial intelligence was used, for example chatbots and decision support systems. Dashboards were used to provide access to and communicate data.
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