Connections on trivial vector bundles over projective schemes by Biswas, Indranil, Hô Hai, Phùng, dos Santos, Joao Pedro

“…In more detail, we show that the differential Galois group is a certain “closure” of the aforementioned Lie algebra.…”
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Fall detection via human posture representation and support vector machine by Kaibo Fan, Ping Wang, Yan Hu, Bingjie Dou

“…These features are fed into a directed acyclic graph support vector machine to distinguish four closely related human postures (standing, crouching, lying, and sitting). A fall-like accident is detected by counting the occurrences of lying postures in a short temporal window. …”
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Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation by Ramin Najafi, Ercan Çelik, Neslihan Uyanık

“…In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. …”
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Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance by Tanki Motsepa, Chaudry Masood Khalique, Motlatsi Molati

“…For all such values of these arbitrary constants we obtain Lie point symmetries. Symmetry reductions are then obtained and group invariant solutions are constructed for some cases.…”
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The Bi-Integrable Couplings of Two-Component Casimir-Qiao-Liu Type Hierarchy and Their Hamiltonian Structures by Juhui Zhang, Yuqin Yao

“…Furthermore, based on the semidirect sums of matrix Lie algebras consisting of 3×3 block matrix Lie algebra, the bi-integrable couplings of the 2-CQLTH are constructed and their bi-Hamiltonian structures are furnished.…”
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Challenges in Diagnosis of Pseudo Vasa Previa by Etsuko Kajimoto, Shinya Matsuzaki, Satoko Matsuzaki, Yusuke Tanaka, Yukiko Kinugasa-Taniguchi, Kazuya Mimura, Takeshi Kanagawa, Tadashi Kimura

“…Both patients were falsely diagnosed; only a low-lying placenta was revealed after delivery. These reports emphasize that accurate identification of vasa previa on cervical imaging is important for determining an appropriate treatment strategy.…”
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Object-Place Recognition Learning Triggers Rapid Induction of Plasticity-Related Immediate Early Genes and Synaptic Proteins in the Rat Dentate Gyrus by Jonathan Soulé, Zsuzsa Penke, Tambudzai Kanhema, Maria Nordheim Alme, Serge Laroche, Clive R. Bramham

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Geospatial evaluation of San Francisco, California’s homeless encampment sweeps injunction by Sean G. Young, Vincent Truong, William P. Watson, Cari A. Bogulski

“…IntroductionHomelessness remains a pervasive issue in many communities within the United States (US). “Sit-lie” policies restrict where individuals can sit or lie down in public places and are frequently passed and cited to forcibly re-locate individuals experiencing homelessness. …”
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Multilocal invariants for the classical groups by Paul F. Dhooghe

“…The necessary additional invariants are constructed from the invariant polynomials on the Lie algebra of the Lie transformation groups.…”
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Some Results on Equivalence Groups by J. C. Ndogmo

“…In addition, the Levidecomposition of the Lie algebra associated with the larger group is found; the Levi factor of which is shown to be equal, up to a constant factor, to the Lie algebra associated with the smaller group.…”
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Invariant Analysis, Analytical Solutions, and Conservation Laws for Two-Dimensional Time Fractional Fokker-Planck Equation by Nisrine Maarouf, Khalid Hilal

“…The Lie point symmetries are derived to obtain the similarity reductions and explicit solutions of the governing equation. …”
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Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional Derivatives by Shalu Saini, Rajeev Kumar, null Deeksha, Rishu Arora, Kamal Kumar

“…In the present article, the time fractional Fisher equation is considered in conformal form to study the application of the Lie classical method and quantitative analysis. …”
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Group Analysis Explicit Power Series Solutions and Conservation Laws of the Time-Fractional Generalized Foam Drainage Equation by Maria Ihsane El Bahi, Khalid Hilal

“…In this study, the classical Lie symmetry method is successfully applied to investigate the symmetries of the time-fractional generalized foam drainage equation with the Riemann–Liouville derivative. …”
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Classification of the Group Invariant Solutions for Contaminant Transport in Saturated Soils under Radial Uniform Water Flows by M. M. Potsane, R. J. Moitsheki

“…The arising convection-dispersion equation given in terms of the stream functions is analyzed using classical Lie point symmetries. A number of exotic Lie point symmetries are admitted. …”
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Non-Integer Valued Winding Numbers and a Generalized Residue Theorem by Norbert Hungerbühler, Micha Wasem

“…We define a generalization of the winding number of a piecewise C1 cycle in the complex plane which has a geometric meaning also for points which lie on the cycle. The computation of this winding number relies on the Cauchy principal value but is also possible in a real version via an integral with bounded integrand. …”
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Influence of Altitude on the Spatiotemporal Variations of Meteorological Droughts in Mountain Regions of the Free State Province, South Africa (1960–2013) by M. Mbiriri, G. Mukwada, D. Manatsa

“…When the winds are largely northerly, Free State lies predominantly in the windward side of the Drakensberg Mountains but lies in the rain shadow when the winds are mostly southerly. …”
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The Exact Solutions of a Diffusive SIR Model via Symmetry Groups by R. Naz, A. G. Johnpillai, F. M. Mahomed

“…We utilize the Lie symmetries to deduce the optimal system of one-dimensional subalgebras. …”
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Analytical Solutions for Nonlinear Dispersive Physical Model by Wen-Xiu Ma, Mohamed R. Ali, R. Sadat

“…In the present work, the derivation and analysis of Lie symmetries are presented for the time-fractional Benjamin–Bona–Mahony equation (FBBM) with the Riemann–Liouville derivatives. …”
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Simulacre et modernité : l’illusion d’optique dans On the Western Circuit de Thomas Hardy by Catherine Lanone

“…This paper focuses on various visual devices which Thomas Hardy chooses to include in his short stories in order to question the Victorian cult of progress, such as photographs, the Crystal Palace or more unexpectedly the phenakistiscope, which clearly lies behind the obsessional description of the « steam circus » in the short story entitled On the Western Circuit. …”
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Multiepoch Observations of the Nearby Spiral Galaxy NGC 3938 with the Chandra X-Ray Observatory by Siddhi Raut, Eric M. Schlegel, Thomas G. Pannuti, Brannon W. Jones, Jacobo Matallana

“…We include in an appendix a short discussion of the sources that lie in Chandra’s field of view but lie outside of NGC 3938.…”
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