Genealogía de la noble mentira by Miguel Catalán

“…This article goes through and analyses the main modern schools and authors who have justified political lie, i.e. a specific lie by which the political authority deceives its own people.…”
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Spherical Harmonics Ylm(θ,ϕ): Positive and Negative Integer Representations of su(1,1) for l-m and l+m by H. Fakhri

“…So, in addition to realizing the unitary irreducible representation of su(2) compact Lie algebra via the Ylm(θ,ϕ)’s for a given l, we can also represent su(1,1) noncompact Lie algebra by spherical harmonics for given values of l-m and l+m.…”
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Transformation groups on real plane and their differential invariants by Maryna O. Nesterenko

“…As a necessary preliminary, realizations of finite-dimensional Lie algebras on the real plane are revisited.…”
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Noether Symmetries of the Area-Minimizing Lagrangian by Adnan Aslam, Asghar Qadir

“…It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an (n-1)-area enclosing a constant n-volume in a Euclidean space is so(n)⊕sℝn and in a space of constant curvature the Lie algebra is so(n). …”
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Algebraic Properties of First Integrals for Scalar Linear Third-Order ODEs of Maximal Symmetry by K. S. Mahomed, E. Momoniat

“…By use of the Lie symmetry group methods we analyze the relationship between the first integrals of the simplest linear third-order ordinary differential equations (ODEs) and their point symmetries. …”
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Когнитивная семантика концепта „обман” в современном русском языке by Łukasz Małecki

“…“Lying” in human consciousness takes the form of a concept — a mental form described by means of such features as traditions, customs, special stereotypes  of thinking, behavior models, etc. …”
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A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations by A. Fatima, Muhammad Ayub, F. M. Mahomed

“…We provide a supplementation of the results on the canonical forms for scalar fourth-order ordinary differential equations (ODEs) which admit four-dimensional Lie algebras obtained recently. Together with these new canonical forms, a complete list of scalar fourth-order ODEs that admit four-dimensional Lie algebras is available.…”
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Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation by Hongwei Yang, Yunlong Shi, Baoshu Yin, Huanhe Dong

“…We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. …”
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On the space of 2d integrable models by Lukas W. Lindwasser

“…Abstract We study infinite dimensional Lie algebras, whose infinite dimensional mutually commuting subalgebras correspond with the symmetry algebra of 2d integrable models. …”
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On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations by Usamah S. Al-Ali, Ashfaque H. Bokhari, A. H. Kara, F. D. Zaman

“…We carry out a classification of Lie symmetries for the (2+1)-dimensional nonlinear damped wave equation utt+fuut=div(gugrad u) with variable damping. …”
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The impact of the Hsp67Bc gene product on Drosophila melanogaster longevity, fecundity, and acute heat stress tolerance by D. Malkeyeva, S. A. Fedorova, E. Kiseleva

“…Recently, we found that Hsp67Bc-null D. melanogaster f lies have poor tolerance to cold stress (0 °C) of various durations. …”
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Caracterización de la expresión de galectina-3 mediante inmunohistoquímica enlesiones intraepiteliales de glándula mamaria de perras sin evidencia de tumor by J. A. Caicedo, C. A. Iregui

“…Los programas de detección temprana de cáncer de seno han incrementado la identificación de LIEs. En este sentido, en perras se ha propuesto las LIEs como modelo comparativo con humanos. …”
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Homomorphisms and Derivations in C*-Algebras by Choonkil Park, Abbas Najati

“…Using the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the following Apollonius-type additive functional equation f(z−x)+f(z−y)+(1/2)f(x+y)=2f(z−(x+y)/4).…”
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Null Curve Evolution in Four-Dimensional Pseudo-Euclidean Spaces by José del Amor, Ángel Giménez, Pascual Lucas

“…We define a Lie bracket on a certain set of local vector fields along a null curve in a 4-dimensional semi-Riemannian space form. …”
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Individual behavior tracking of heifers by using object detection algorithm YOLOv4 by Sarah Jahn, Gabriel Schmidt, Lisa Bachmann, Helen Louton, Timo Homeier-Bachmann, Anne K. Schütz

“…Standing and lying times of animals are often used as an indicator to assess welfare and health status. …”
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Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution by H. Panahi, M. Baradaran

“…We investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the framework of quasi-exact solvability. …”
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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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