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1

Plackett, Robin. "Obituary: Churchill Eisenhart." Journal of the Royal Statistical Society: Series A (Statistics in Society) 158, no. 2 (1995): 338. http://dx.doi.org/10.1111/j.1467-985x.1995.tb00648.x.

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2

Cameron, Joseph M., and Joan R. Rosenblatt. "Churchill Eisenhart, 1913-1994." American Statistician 49, no. 3 (1995): 243–44. http://dx.doi.org/10.1080/00031305.1995.10476157.

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3

Jäcklein-Kreis, Elisabeth. "Wundertag gefällig?" merz | medien + erziehung 56, no. 1 (2012): 45–46. https://doi.org/10.21240/merz/2012.1.15.

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Die Becken schwingen unaufhörlich und erzeugen einen unruhigen Tonteppich, dazwischen drängt sich die Tuba ins Bewusstsein, jetzt eine Trompete, eine E-Gitarre und dann – ein Schuss! Blut! Ein verschwörerischer Blick direkt in den Pistolenlauf – Das muss James Bond sein, der Doppel-0-Agent, leibhaftig!Man zögert, schaut noch einmal hin, im Hinterkopf bläst die Tuba unbeirrt weiter und während man das Filmthema leise pfeift, muss man unwillkürlich lächeln. Nein, James Bond ist das nicht, der da so gekonnt die Pistole schwenkt und frech über den Rand seiner coolen Sonnenbrille lugt, einmal sogar
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4

Olkin, Ingram. "A Conversation with Churchill Eisenhart." Statistical Science 7, no. 4 (1992): 512–30. http://dx.doi.org/10.1214/ss/1177011149.

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5

Galajinsky, Anton, and Ivan Masterov. "Eisenhart lift for higher derivative systems." Physics Letters B 765 (February 2017): 86–90. http://dx.doi.org/10.1016/j.physletb.2016.11.059.

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6

Chanda, Sumanto, G. W. Gibbons, and Partha Guha. "Jacobi-Maupertuis-Eisenhart metric and geodesic flows." Journal of Mathematical Physics 58, no. 3 (2017): 032503. http://dx.doi.org/10.1063/1.4978333.

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7

Zakirova, Zol'fira Khapisovna. "On some special solutions of Eisenhart equation." Ufimskii Matematicheskii Zhurnal 5, no. 3 (2013): 40–52. http://dx.doi.org/10.13108/2013-5-3-40.

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8

Cariglia, Marco, and Gary Gibbons. "Generalised Eisenhart lift of the Toda chain." Journal of Mathematical Physics 55, no. 2 (2014): 022701. http://dx.doi.org/10.1063/1.4866318.

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9

von Eisenhart Rothe, Anna. "Die Zukunft unternehmerisch planen." physiopraxis 5, no. 01 (2007): 48–51. http://dx.doi.org/10.1055/s-0032-1308042.

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Um mit einer physiotherapeutischen Praxis erfolgreich zu sein, bedarf es einer guten Strategie. Diese basiert auf Analysen und gibt langfristig das Vorgehen eines Unternehmens vor, um gesetzte Ziele zu erreichen. Anna von Eisenhart Rothe erläutert in diesem ersten Teil einer Serie zu verschiedenen Strategietools, warum es wichtig ist, eine Strategie für die Zukunft zu entwickeln und welche Strategiearten es gibt.
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10

Petrović, Miloš Z., Mića S. Stanković, and Patrik Peška. "On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces." Mathematics 7, no. 7 (2019): 626. http://dx.doi.org/10.3390/math7070626.

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We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces. We give new generalizations of symmetric spaces via Eisenhart’s generalized Riemannian spaces. Finally, we describe some properties of covariant derivatives of tensors analogous to Yano’s tensor of concircular curvature in Eisenhart symmetric spaces of various kinds.
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11

Glass, Darren. "Coble and Eisenhart: Two Gettysburgians Who Led Mathematics." Notices of the American Mathematical Society 60, no. 05 (2013): 558. http://dx.doi.org/10.1090/noti991.

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12

Peng, Linyu, Huafei Sun, and Xiao Sun. "Geometry of Hamiltonian Dynamics with Conformal Eisenhart Metric." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–26. http://dx.doi.org/10.1155/2011/710274.

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We characterize the geometry of the Hamiltonian dynamics with a conformal metric. After investigating the Eisenhart metric, we study the corresponding conformal metric and obtain the geometric structure of the classical Hamiltonian dynamics. Furthermore, the equations for the conformal geodesics, for the Jacobi field along the geodesics, and the equations for a certain flow constrained in a family of conformal equivalent nondegenerate metrics are obtained. At last the conformal curvatures, the geodesic equations, the Jacobi equations, and the equations for the flow of the famous models, anNdeg
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13

Lee, K. R., and C. H. Kapadia. "Restricted maximum likelihood estimation under Eisenhart model Ill." Statistica Neerlandica 45, no. 3 (1991): 271–82. http://dx.doi.org/10.1111/j.1467-9574.1991.tb01309.x.

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14

Szydłowski, Marek. "The general relativity dynamics in the Eisenhart geometry." Chaos, Solitons & Fractals 11, no. 5 (2000): 685–95. http://dx.doi.org/10.1016/s0960-0779(98)00168-4.

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15

Cariglia, M., C. Duval, G. W. Gibbons, and P. A. Horváthy. "Eisenhart lifts and symmetries of time-dependent systems." Annals of Physics 373 (October 2016): 631–54. http://dx.doi.org/10.1016/j.aop.2016.07.033.

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16

Paliathanasis, Andronikos. "Solving Nonlinear Second-Order ODEs via the Eisenhart Lift and Linearization." Axioms 13, no. 5 (2024): 331. http://dx.doi.org/10.3390/axioms13050331.

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The linearization of nonlinear differential equations represents a robust approach to solution derivation, typically achieved through Lie symmetry analysis. This study adopts a geometric methodology grounded in the Eisenhart lift, revealing transformative techniques that linearize a set of second-order ordinary differential equations. The research underscores the effectiveness of this geometric approach in the linearization of a class of Newtonian systems that cannot be linearized through symmetry analysis.
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17

VISINESCU, MIHAI. "HIDDEN SYMMETRIES IN A GAUGE-COVARIANT APPROACH, HAMILTONIAN REDUCTION AND OXIDATION." Modern Physics Letters A 26, no. 36 (2011): 2719–30. http://dx.doi.org/10.1142/s0217732311037054.

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Hidden symmetries in a covariant Hamiltonian formulation are investigated involving gauge covariant equations of motion. The special role of the Stäckel–Killing tensors is pointed out. A reduction procedure is used to reduce the original phase space to another one in which the symmetries are divided out. The reverse of the reduction procedure is done by stages performing the unfolding of the gauge transformation followed by the Eisenhart lift in connection with scalar potentials.
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18

Stigler, Stephen M. "Eloge: Churchill Eisenhart, 11 March 1910-25 June 1994." Isis 86, no. 3 (1995): 455–56. http://dx.doi.org/10.1086/357240.

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19

O'Brien, John C. "The Social Economics of Hugo Eisenhart Gustav von Schmoller." International Journal of Social Economics 14, no. 11 (1987): 26–47. http://dx.doi.org/10.1108/eb014090.

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20

Zhang, Hai, and Qing-Yi Hao. "Eisenhart lift for Euler’s problem of two fixed centers." Applied Mathematics and Computation 350 (June 2019): 305–12. http://dx.doi.org/10.1016/j.amc.2019.01.022.

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21

Chanda, Sumanto, Gary William Gibbons, and Partha Guha. "Jacobi–Maupertuis metric and Kepler equation." International Journal of Geometric Methods in Modern Physics 14, no. 07 (2017): 1730002. http://dx.doi.org/10.1142/s0219887817300021.

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This paper studies the application of the Jacobi–Eisenhart lift, Jacobi metric and Maupertuis transformation to the Kepler system. We start by reviewing fundamentals and the Jacobi metric. Then we study various ways to apply the lift to Kepler-related systems: first as conformal description and Bohlin transformation of Hooke’s oscillator, second in contact geometry and third in Houri’s transformation [T. Houri, Liouville integrability of Hamiltonian systems and spacetime symmetry (2016), www.geocities.jp/football_physician/publication.html ], coupled with Milnor’s construction [J. Milnor, On t
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22

Petrovic, Milos. "Generalized para-Kähler spaces in Eisenhart’s sense admitting a holomorphically projective mapping." Filomat 33, no. 13 (2019): 4001–12. http://dx.doi.org/10.2298/fil1913001p.

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We relax the conditions related to the almost product structure and in such a way introduce a wider class of generalized para-K?hler spaces. Some properties of the curvature tensors as well as those of the corresponding Ricci tensors of these spaces are pointed out. We consider holomorphically projective mappings between generalized para-K?hler spaces in Eisenhart?s sense. Also, we examine some invariant geometric objects with respect to equitorsion holomorphically projective mappings. These geometric objects reduce to the para-holomorphic projective curvature tensor in case of holomorphically
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23

Velimirovic, Ana. "Conformal curvature tensors in a generalized Riemannian space in Eisenhart sense." Applicable Analysis and Discrete Mathematics, no. 00 (2020): 34. http://dx.doi.org/10.2298/aadm200206034v.

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In the present paper generalizations of conformal curvature tensor from Riemannian space are given for five independent curvature tensors in generalized Riemannian space (GRN ), i.e. when the basic tensor is non-symmetric. In earlier works of S. Mincic and M. Zlatanovic et al a special case has been investigated, that is the case when in the conformal transformation the torsion remains invariant (equitorsion transformation). In the present paper this condition is not supposed and for that reason the results are more general and new.
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24

Galajinsky, Anton. "Eisenhart lift in pseudo–Euclidean space and higher rank killing tensors." Physics of Particles and Nuclei Letters 14, no. 2 (2017): 328–30. http://dx.doi.org/10.1134/s154747711702011x.

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25

Cariñena, Jose F., Francisco J. Herranz, and Manuel F. Rañada. "Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability." Journal of Mathematical Physics 58, no. 2 (2017): 022701. http://dx.doi.org/10.1063/1.4975339.

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26

Paliathanasis, Andronikos. "Geometric Linearization for Constraint Hamiltonian Systems." Symmetry 16, no. 8 (2024): 988. http://dx.doi.org/10.3390/sym16080988.

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This study investigates the geometric linearization of constraint Hamiltonian systems using the Jacobi metric and the Eisenhart lift. We establish a connection between linearization and maximally symmetric spacetimes, focusing on the Noether symmetries admitted by the constraint Hamiltonian systems. Specifically, for systems derived from the singular Lagrangian LN,qk,q˙k=12Ngijq˙iq˙j−NV(qk), where N and qi are dependent variables and dimgij=n, the existence of nn+12 Noether symmetries is shown to be equivalent to the linearization of the equations of motion. The application of these results is
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27

Battista, Michael, Timothy Boerst, Jere Confrey, et al. "Research Committee: Research in Mathematics Education: Multiple Methods for Multiple Uses." Journal for Research in Mathematics Education 40, no. 3 (2009): 216–40. http://dx.doi.org/10.5951/jresematheduc.40.3.0216.

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I do not think any thoughtful researcher today believes that experiments or randomized field trials are the “gold standard” for addressing all the important questions in educational research. Yet, because these designs are now required by the 2001 No Child Left Behind Act (NCLB) and are being strongly encouraged in other federal legislation and funding initiatives, scholars, practitioners, parents, and researchers must devote time and energy to fighting these designs when they are inappropriate or irrelevant, which is often the case. Despite long-standing objections from prominent methodologis
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28

Zhao, Qiliang, Pengming Zhang, and Peter A. Horvathy. "Time-Dependent Conformal Transformations and the Propagator for Quadratic Systems." Symmetry 13, no. 10 (2021): 1866. http://dx.doi.org/10.3390/sym13101866.

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The method proposed by Inomata and his collaborators allows us to transform a damped Caldirola–Kanai oscillator with a time-dependent frequency to one with a constant frequency and no friction by redefining the time variable, obtained by solving an Ermakov–Milne–Pinney equation. Their mapping “Eisenhart–Duval” lifts as a conformal transformation between two appropriate Bargmann spaces. The quantum propagator is calculated also by bringing the quadratic system to free form by another time-dependent Bargmann-conformal transformation, which generalizes the one introduced before by Niederer and is
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29

Paliathanasis, Andronikos. "A Novel Method to Calculate Nonlocal Symmetries from Local Symmetries." Symmetry 17, no. 3 (2025): 340. https://doi.org/10.3390/sym17030340.

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We explore nonlocal symmetries in a class of Hamiltonian dynamical systems governed by second-order differential equations. Specifically, we establish an algorithm for deriving nonlocal symmetries by utilizing the Jacobi metric and the Eisenhart–Duval lift to geometrize the dynamical systems. The geometrized systems often exhibit additional local symmetries compared to the original systems, some of which correspond to nonlocal symmetries for the original formulation. This novel approach allows us to determine nonlocal symmetries in a systematic way. Within this geometric framework, we demonstr
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30

Szydlowski, Marek. "The Eisenhart Geometry as an Alternative Description of Dynamics in Terms of Geodesics." General Relativity and Gravitation 30, no. 6 (1998): 887–914. http://dx.doi.org/10.1023/a:1026612225777.

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31

Cariglia, Marco, and Filipe Kelmer Alves. "The Eisenhart lift: a didactical introduction of modern geometrical concepts from Hamiltonian dynamics." European Journal of Physics 36, no. 2 (2015): 025018. http://dx.doi.org/10.1088/0143-0807/36/2/025018.

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32

Milenković, Vladislava M., and Mića S. Stanković. "Quasi-Canonical Biholomorphically Projective Mappings of Generalized Riemannian Space in the Eisenhart Sense." Axioms 13, no. 8 (2024): 528. http://dx.doi.org/10.3390/axioms13080528.

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In this paper, quasi-canonical biholomorphically projective and equitorsion quasi-canonical biholomorphically projective mappings are defined. Some relations between the corresponding curvature tensors of the generalized Riemannian spaces GRN and GR¯N are obtained. At the end, the invariant geometric object of an equitorsion quasi-canonical biholomorphically projective mapping is found.
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33

Persell, Caroline Hodges. "Educated in Romance: Women, Achievement, and College Culture.Dorothy C. Holland , Margaret A. Eisenhart." American Journal of Sociology 97, no. 1 (1991): 243–45. http://dx.doi.org/10.1086/229763.

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34

Kapadia, C. H., Alan H. Kvanli, and Kwan R. Lee. "Minimal sufficient statistics for incomplete block designs with interaction under an Eisenhart model III." Journal of Statistical Planning and Inference 19, no. 3 (1988): 317–24. http://dx.doi.org/10.1016/0378-3758(88)90039-0.

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35

Ginsburg, Faye. ": Educated in Romance: Women, Achievement, and College Culture . Dorothy C. Holland, Margaret A. Eisenhart." American Anthropologist 94, no. 4 (1992): 948–49. http://dx.doi.org/10.1525/aa.1992.94.4.02a00230.

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36

Aminova, A. V., and M. N. Sabitova. "The General Solution of the Eisenhart Equation and Projective Motions of Pseudo-Riemannian Manifolds." Mathematical Notes 107, no. 5-6 (2020): 875–86. http://dx.doi.org/10.1134/s0001434620050181.

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37

Ben Achour, Jibril Ben, Etera R. Livine, Daniele Oriti, and Goffredo Piani. "Schrödinger Symmetry in Gravitational Mini-Superspaces." Universe 9, no. 12 (2023): 503. http://dx.doi.org/10.3390/universe9120503.

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We prove that the simplest gravitational symmetry-reduced models describing cosmology and black hole mechanics are invariant under the Schrödinger group. We consider the flat FRW cosmology filled with a massless scalar field and the Schwarzschild black hole mechanics and construct their conserved charges using the Eisenhart–Duval (ED) lift method in order to show that they form a Schrödinger algebra. Our method illustrates how the ED lift and the more standard approach analyzing the geometry of the field space are complementary in revealing different sets of symmetries of these systems. We fur
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38

LUTZ, CATHERINE. "Educated in Romance: Women, Achievement, and College Culture. DOROTHY C. HOLLAND and MARGARET A. EISENHART." American Ethnologist 20, no. 3 (1993): 635–36. http://dx.doi.org/10.1525/ae.1993.20.3.02a00200.

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39

Svensson, Manfred. "Aristotelian Practical Philosophy from Melanchthon to Eisenhart: Protestant Commentaries on the Nicomachean Ethics 1529–1682." Reformation & Renaissance Review 21, no. 3 (2019): 218–38. http://dx.doi.org/10.1080/14622459.2019.1653539.

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40

Post, Gina, and Stephanie Varoz. "Supporting Teacher Learning: Lesson-Study Groups with Prospective and Practicing Teachers." Teaching Children Mathematics 14, no. 8 (2008): 472–78. http://dx.doi.org/10.5951/tcm.14.8.0472.

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Supporters of the current reform efforts in mathematics envision ways of teaching that engage students in meaningful tasks and create communities where students can discuss and reflect on their learning. Becoming such a teacher requires learning new pedagogical strategies, knowing how children learn, and reflecting on one's own understanding of mathematical knowledge and practice. As both prospective and practicing teachers participate in a variety of learning experiences, they revise their conceptions of mathematics instruction and develop new forms of practice. Two predominant contexts for t
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41

Hitchin, Nigel J. "Arthur Geoffrey Walker. 17 July 1909 — 31 March 2001." Biographical Memoirs of Fellows of the Royal Society 52 (January 2006): 413–21. http://dx.doi.org/10.1098/rsbm.2006.0028.

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Arthur Geoffrey Walker was born in Watford, Hertfordshire, on 17 July 1909, and attended Watford Grammar School, from where he won in 1928 an Open Mathematical Scholarship to Balliol College, Oxford. There, his tutor was John William Nicholson FRS, who had been a professor at King's College, London, and was one of the first mathematical physicists to relate quantum theory to atomic spectra. However, in the late 1920s he was suffering from a psychiatric illness and in 1930 was hospitalized, so that Walker had to study on his own a great deal. This perhaps influenced his subsequent method of wor
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42

Aminova, Asya Vasilyevna, and Dzhamoliddin Rakhmonovich Khakimov. "Lie algebras of projective motions of five-dimensional pseudo-Riemannian spaces. II. Integration of the Eisenhart equations." Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» 213 (2022): 10–37. http://dx.doi.org/10.36535/0233-6723-2022-213-10-37.

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43

Milenković, Vladislava M., Mića S. Stanković, and Nenad O. Vesić. "Invariant Geometric Objects of the Equitorsion Canonical Biholomorphically Projective Mappings of Generalized Riemannian Space in the Eisenhart Sense." Mathematics 13, no. 8 (2025): 1334. https://doi.org/10.3390/math13081334.

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The study of the equitorsion biholomorphically projective mappings between two generalized Riemannian spaces in the sense of Eisenhart’s definition is continued. Some new invariant geometric objects of an equitorsion canonical biholomorphically projective mapping are found, as well as some relations between these objects. At the end, the linear independence of the obtained invariants is examined.
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44

CASTRO, CARLOS. "BORN'S RECIPROCAL GENERAL RELATIVITY THEORY AND COMPLEX NON-ABELIAN GRAVITY AS GAUGE THEORY OF THE QUAPLECTIC GROUP: A NOVEL PATH TO QUANTUM GRAVITY." International Journal of Modern Physics A 23, no. 10 (2008): 1487–506. http://dx.doi.org/10.1142/s0217751x08039669.

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Born's reciprocal relativity in flat space–times is based on the principle of a maximal speed limit (speed of light) and a maximal proper force (which is also compatible with a maximal and minimal length duality) and where coordinates and momenta are unified on a single footing. We extend Born's theory to the case of curved space–times and construct a reciprocal general relativity theory (in curved space–times) as a local gauge theory of the quaplectic group and given by the semidirect product [Formula: see text], where the non-Abelian Weyl–Heisenberg group is H(1, 3). The gauge theory has the
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45

Spears, Jacqueline D. "BOOK REVIEW: Margaret A. Eisenhart and Elizabeth Finkel. WOMEN'S SCIENCE: LEARNING AND SUCCEEDING FROM THE MARGINS Chicago, IL, and London, UK: The University of Chicago Press, 1998." NWSA Journal 12, no. 3 (2000): 215–17. http://dx.doi.org/10.2979/nws.2000.12.3.215.

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46

Mewborn, Denise S., and David W. Stinson. "Learning to Teach as Assisted Performance." Teachers College Record: The Voice of Scholarship in Education 109, no. 6 (2007): 1457–87. http://dx.doi.org/10.1177/016146810710900602.

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Background Although preservice teachers bring well-established views of teaching to their teacher education programs, Tabachnick and Zeichner (1984) claimed that it is possible to amend preservice teachers’ views. They portrayed the learning of teachers as a negotiated and interactive process rather than as one that is predetermined by teachers’ prior experiences. Feiman-Nemser (2001) suggested that having preservice teachers examine their beliefs in light of images of good teaching should be one of the central tasks of preservice teacher education. Purpose The study reported in this manuscrip
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47

Steele, Colin. "Publishing in the Information Age: A New Management Framework Cor the Digital Eraby Douglas M. Eisenhart(Quorum Books, Westport, CT, USA), pp. xiv + 296, US$55.00, ISBN 0–89930–847–3." Prometheus 14, no. 2 (1996): 303–5. http://dx.doi.org/10.1080/08109029608629238.

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48

Burstyn, Joan N. ""Has Nothing Changed in a Hundred Years?": The Salience of Gender to the Undergraduate ExperienceGender and Higher Education in the Progressive Era. Lynn D. GordonEducated in Romance: Women, Achievement, and College Culture. Dorothy C. Holland , Margaret A. Eisenhart." American Journal of Education 101, no. 2 (1993): 196–202. http://dx.doi.org/10.1086/444040.

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49

Romadina, Elena, and Keith J. Stevenson. "(Digital Presentation) Novel Organic Materials for Non-Aqueous Redox Flow Batteries: Implementation of Triarylamine and Phenazine Core Structures." ECS Meeting Abstracts MA2022-01, no. 48 (2022): 2039. http://dx.doi.org/10.1149/ma2022-01482039mtgabs.

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The rapid growth of the role of renewable energy sources dictates new requirements for the efficiency, stability and scales of electrochemical energy storage devices for stationary applications [1]. Among the storage systems, redox flow batteries (RFBs) are regarded as a promising technology, since their advantages of excellent scalability, low cost, easy fabrication and operation, long lifetime, and safety. Today inorganic RFBs are penetrating the market, however, low specific capacity in conjunction with low electrochemical stability window of aqueous electrolytes (≈1.5 V) and safety issues,
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50

Beckermann, Kathryn, Brian Rini, Naomi Haas, Daniel George, and Eric Jonasch. "Phase 1b/2 trial of Ipilimumab, Nivolumab, and Ciforadenant (INC) (adenosine A2a receptor antagonist) in first-line advanced renal cell carcinoma." Oncologist 28, Supplement_1 (2023): S13—S14. http://dx.doi.org/10.1093/oncolo/oyad216.022.

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Abstract Background Ciforadenant is an investigational immunotherapeutic small molecule that selectively and reversibly binds adenosine2A receptors (A2ARs) on T lymphocytes and other cells of the immune system. RCC metabolism is known to be highly glycolytic with a need to export adenosine triphosphate (ATP) to allow for continued proliferation of cancer cells. In the tumor microenvironment (TME) ATP is hydrolyzed to adenosine by CD39/CD73. Adenosine has immune suppressive effects on the TME through the A2 adenosine receptor (A2AR) including decreased T cell activation and proliferation (Ohta
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