Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces by Nakao Hayashi, Pavel I. Naumkin

“…We prove that if the initial data φ satisfy some analyticity and smallness conditions in a suitable norm, then the solution of the above Cauchy problem has the asymptotic representation in the neighborhood of the scattering states.…”
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THERMAL-MAGNETIC-ELASTIC ANALYSIS OF A CURRENT-CARRYING CANTILEVER CYLINDRICAL SHELL by BIAN YuHong, ZHAO HaiTao

“…Using the linearization method,the linear iterative equations on the thermal-magnetic-elastic problem are obtained and transformed into normal Cauchy type including eight basic unknown functions. …”
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Maximum Norm Estimates of the Solution of the Navier-Stokes Equations in the Halfspace with Bounded Initial Data by Santosh Pathak

“…In this paper, I consider the Cauchy problem for the incompressible Navier-Stokes equations in ℝ+n for n≥3 with bounded initial data and derive a priori estimates of the maximum norm of all derivatives of the solution in terms of the maximum norm of the initial data. …”
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CO2lonialismo y geografías de esperanza by Julianne Hazlewood

“…Esta investigación resalta las prácticas culturales y espaciales a través de las cuales las comunidades afro-ecuatoriana, chachi, y awá construyen y sostienen “geografías de esperanza” en medio de bosques talados, ríos envenenados y conflictos sociales. …”
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Estimación de daño causado por dichroplus elongatus giglio-tos (orthoptera: acrididae) en cultivos de soja en siembra directa, en la provincia de buenos aires by S. Torrusio, M. L. de Wysiecki, J. Otero

“…Luego de la cosecha de las plantas, en laboratorio se midieron y analizaron (ANOVA) los siguientes parámetros: número promedio de chauchas y de granos por planta, peso promedio de granos por planta, altura promedio de la planta, peso de 1000 granos para cada una de las densidades ensayadas y el rendimiento (kg/ha) (t-test). …”
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Approximation algorithm to symmetric alpha stable distribution with bi-region curve model by Kang WANG, Zhi-jiang XU, Li-min MENG

“…The symmetric alpha stable (S S) was used to model a non-Gaussian,heavy tail and impulsive noise of com-α munication channels.However,explicit expressions for the probability density functions (PDF) in terms of elementary functions are still unknown except for some special cases,which limits the application of the SαS distribution in practice,which the bi-region separated by the triple divergence was proposed Specially,within the triple divergence,a simple exponential function with two special parameters was constructed,the two parameters were determined by using Taylor serial expansion.Compared with conventional algorithms using the series expansion,the proposed algorithm avoids the selecting the number of the series items and the risk of series expansion divergence.Moreover,numerical results verify that the proposed approximation is closer to the actual SαS PDF than the conventional Cauchy-Gaussian mixture approximation.…”
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Pattern Synthesis of Linear Antenna Arrays Using Enhanced Flower Pollination Algorithm by Urvinder Singh, Rohit Salgotra

“…The proposed algorithm uses the concept of Cauchy mutation in global pollination and enhanced local search to improve the exploration and exploitation tendencies of FPA. …”
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Simulation of the Advection Process of Stokes Flow Inside a Rectangular Cavity Under Constant Velocities by Valentyn Sobchuk, Oleksandr Kurylko, Oleksandr Boryseiko, Oleh Perehuda, Iryna Lebedyeva, Igor Ulitko, Olena Vashchilina

“…To solve the second problem, which is associated with obtaining the trajectories of individual fluid particles, numerical calculations of the Cauchy problem were performed. An analysis of the boundary conditions accuracy was performed based on the control of local integration. …”
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The Quantization of a Kerr-AdS Black Hole by Claus Gerhardt

“…The event horizon corresponds in the quantum model to a Cauchy hypersurface that can be crossed by causal curves in both directions such that the information paradox does not occur. …”
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Recoil and Vibration in an Archery Bow Equipped with a Multi-Rod Stabilizer by Igor Zaniewski

“…The research methods are based on the Euler-Bernoulli theory of beam bending, Lagrange equations of the second kind, the Cauchy problem, and the Runge-Kutta method. A mathematical software package was used to analyze the problem. …”
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Generalization of I.Vekua's integral representations of holomorphic functions and their application to the Riemann–Hilbert–Poincaré problem by Vakhtang Kokilashvili, Vakhtang Paatashvili

“…Vekua’s integral representations of holomorphic functions, whose m-th derivative (m≥0) is Hӧlder-continuous in a closed domain bounded by the Lyapunov curve, are generalized for analytic functions whose m-th derivative is representable by a Cauchy type integral whose density is from variable exponent Lebesgue space Lp(⋅)(Γ;ω) with power weight. …”
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Recent Developments on Operator-Difference Schemes for Solving Nonlocal BVPs for the Wave Equation by Mehmet Emir Koksal

“…Two new second-order difference schemes recently appeared in the literature are compared numerically with each other and with the rather old first-order difference scheme all to solve abstract Cauchy problem for hyperbolic partial differential equations with time-dependent unbounded operator coefficient. …”
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Propaganda image of the social world in Polish children’s songs by Małgorzata Pilecka

“…Having analysed the lyrics of more than eighty Polish children’s songs, the author couched main categories construing the image of the social world presented in them. …”
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Intercultural Competence in Extension Education: Applications of an Expert-Developed Model by John Diaz, Cody Gusto, Colby Silvert, K. S. U. Jayaratne, Lendel Narine, Sharon Couch, Celina Wille, Nozella Brown, Cintia Aguilar, Dionardo Pizaña, Kris Parker, Gayle Coon, Merrianneeta Nesbitt, Laura Valencia, Dominic Ledesma, Lupita Fabregas

“…Jayaratne, Lendel Narine, Sharon Couch, Celina Wille, Nozella Brown, Cintia Aguilar, Dionardo Pizaña, Kris Parker, Gayle Coon, Merrianneeta Nesbitt, Laura Valencia, Dominic Ledesma, and Lupita Fabregas, and published by the UF/IFAS Department of Agricultural Education and Communication, September 2022. …”
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The Last Word by Ken Owen

“…But calls for censorship of the news, couched as "greater responsibility", or "better judgement", even "patriotism", ema- nate from all quarters. …”
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Mixed methods for viscoelastodynamics and topology optimization by Giacomo Maurelli, Nadia Maini, Paolo Venini

“…The resulting problem is a Differential Algebraic Equation (DAE) because of the need to introduce static Lagrange multipliers to comply with the Cauchy boundary condition on the stress. The associated eigenvalue problem is known in the literature as constrained eigenvalue problem and poses several difficulties for its solution that are addressed in the paper. …”
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Design of SVC Controller Based on Improved Biogeography-Based Optimization Algorithm by Feifei Dong, Dichen Liu, Jun Wu, Bingcheng Cen, Haolei Wang, Chunli Song, Lina Ke

“…Considering that common subsynchronous resonance controllers cannot adapt to the characteristics of the time-varying and nonlinear behavior of a power system, the cosine migration model, the improved migration operator, and the mutative scale of chaos and Cauchy mutation strategy are introduced into an improved biogeography-based optimization (IBBO) algorithm in order to design an optimal subsynchronous damping controller based on the mechanism of suppressing SSR by static var compensator (SVC). …”
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RESEARCH ON ROLLING BEARING FAULT DIAGNOSIS BASED ON IMPROVED HHO-LSTM by SHAO LiangShan, ZHU SiJia

“…Based on thesc problems, Cauchy distribution function and simulated annealing (SA) algorithm were introduced to expand the universality of global search and avoid falling into local optimization. …”
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Thermodynamic Relations for Kiselev and Dilaton Black Hole by Bushra Majeed, Mubasher Jamil, Parthapratim Pradhan

“…We have calculated the products relating the surface gravities, surface temperatures, Komar energies, areas, entropies, horizon radii, and the irreducible masses at the Cauchy and the event horizons. It is observed that the product of surface gravities, product of surface temperature, and product of Komar energies at the horizons are not universal quantities for the Kiselev solutions while products of areas and entropies at both the horizons are independent of mass of the above-mentioned black holes (except for Schwarzschild black hole surrounded by quintessence). …”
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Calidad y seguridad en la industria de la construcción en Palestina Quality and safety in the Palestinian construction industry by Adnan Enshassi, Rafiq M Choudhry, Moheeb Abu Alqumboz

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