A thermodynamic description of metastable c-TiAlZrN coatings with triple spinodally decomposed domains by Zhou J., Zhang L., Chen L., Du Y., Liu Z.K.

“…The thermodynamic descriptions for the three boundary binaries were directly taken from either the CALPHAD assessment or the first-principles results available in the literature except for a re-adjustment of the pseudo-binary c-AlN/c-ZrN system based on the experimental phase equilibria in the pseudo-ternary system. …”
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Physically non-cloneable arbiter-type function with non-linear path pairs by A. A. Ivaniuk, A. Y. Shamyna

“…Generally, PUF are digital circuits that extract such variations and convert them into a binary format, which applied for further use. Among the variety of PUF types, an Arbiter PUF (APUF) is distinguished, which is a digital circuit with N-bit challenge input and single output for one-bit response generation. …”
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On the existence of bounded solutions of nonlinear elliptic systems by Abdelaziz Ahammou

“…We are concerned with the existence of a negative subsolution and a nonnegative supersolution in the sense of Hernandez; then we construct some compact operator T and some invariant set K where we can use the Leray Schauder's theorem.…”
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Tori and surfaces violating a local-to-global principle for rationality by Kunyavskiĭ, Boris

“…We show that even within a class of varieties where the Brauer–Manin obstruction is the only obstruction to the local-to-global principle for the existence of rational points (Hasse principle), this obstruction, even in a stronger, base change invariant form, may be insufficient for explaining counter-examples to the local-to-global principle for rationality. …”
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Bifurcation of the equivariant minimal interfaces in a hydromechanics problem by A. Y. Borisovich, W. Marzantowicz

“…Using the natural symmetry of the corresponding variational problem defined by a symmetry of region and restricting the functional to spaces of invariant functions we show the existence of bifurcation, and describe its local picture, for interfaces parametrized by the square and disc.…”
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Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance by Tanki Motsepa, Chaudry Masood Khalique, Motlatsi Molati

“…Symmetry reductions are then obtained and group invariant solutions are constructed for some cases.…”
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Stochastic processes on totally disconnected topological groups by S. V. Ludkovsky

“…Theorems about a quasi-invariance and a pseudodifferentiability of transition measures are proved. …”
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Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications by Mujahid Abbas, Hira Iqbal, Adrian Petrusel

“…In this paper, we will introduce the concept of Suzuki type multivalued (θ,R)-contraction and we will prove some fixed point results in the setting of a metric space equipped with a binary relation. Our results generalize and extend various comparable results in the existing literature. …”
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Lie Symmetry Analysis of a First-Order Feedback Model of Option Pricing by Winter Sinkala, Tembinkosi F. Nkalashe

“…We also construct some invariant solutions of the model.…”
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A model for asymmetrical cell division by Ali Ashher Zaidi, Bruce Van Brunt, Graeme Charles Wake

“…We consider the case of binary asymmetrical splitting in which a cell of size $\xi$ divides into two daughter cells of different sizes and find the steady size distribution (SSD) solution to the non-local differential equation. …”
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Topological Indices of Families of Bistar and Corona Product of Graphs by A. Khalid, N. Kausar, M. Munir, M. Gulistan, M. M. Al-Shamiri, T. Lamoudan

“…Topological indices are graph invariants that are used to correlate the physicochemical properties of a chemical compound with its (molecular) graph. …”
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A new cryptosystem based on an enhanced Vigenere cipher incorporating large SBoxes by Chemlal Abdelhakim, Tabti Hassan, El Bourakkadi Hamid, Abid Abdellah, Jarjar Abdellatif, Benazzi Abdelhamid

“…The system integrates new confusion/diffusion functions, governed by binary decision vectors of pseudorandom values. Simulations conducted on an arbitrary selection of images from a database demonstrate that our system can withstand all known attacks.…”
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An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate by Mingming Li, Xianning Liu

“…By constructing Lyapunov functionals and using the Lyapunov-LaSalle invariance principle, the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium is obtained. …”
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Linear and structural stability of a cell division process model by Vladimir Balan, Ileana Rodica Nicola

“…As well, for these values, the structural stability of the SODE is studied, using the five KCC-invariants of the second-order canonical extension of the SODE, and all the cases prove to be Jacobi unstable.…”
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Chiral higher-spin double copy by Dmitry Ponomarev

“…Abstract We construct the double copy of the chiral higher-spin theory. It is a Lorentz invariant theory with the little group spectrum given by the tensor square of the chiral higher-spin theory spectrum. …”
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Linguistique queer, sexualité et analyse du discours by William L. Leap

“…As is also the case in language and gender studies (see Coates, this volume), queer linguistics refuses to frame discussions of linguistic practices in terms of an assumed male/female binary (or on a limited set of identities based solely on erotic practices and preferences). …”
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The clinical method as a learning content in the medicine career. by Luis Alberto Corona Martínez

“…It also offers information about the theoretical support given by outstanding Cuban professors on this topic which allowed the identification of a group of regularities that made the clinical method be a learning content with the category of invariant of knowledge, so it is indispensable to continue its teaching and to stimulate its use in practice.…”
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La notion de trajectoire en géographie, une clé pour analyser les mobilités ? by Violaine Jolivet

“…Through our field studies we look at both invariants and differences between the two major migratory groups of the Caribbean region: the Cubans of Miami and the Haitians of Santo Domingo. …”
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On Solution of Boundary Value Problems via Weak Contractions by Gopi Prasad, Hüseyin Işik

“…We also highlight the close connections of the fixed point results equipped with a binary relation to that of graph related metrical fixed point results. …”
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A mixed system modeling two-directional pedestrian flows by Paola Goatin, Matthias Mimault

“…In this article, we present a simplified model to describe the dynamics of two groups of pedestrians moving in opposite directions in a corridor.The model consists of a $2\times 2$ system of conservation laws of mixed hyperbolic-elliptic type.We study the basic properties of the system to understand why and how bounded oscillations in numerical simulations arise.We show that Lax-Friedrichs scheme ensures the invariance of the domain and we investigate the existence of measure-valued solutionsas limit of a subsequence of approximate solutions.…”
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