Mesolithic Burials of the Volga-Urals by Aleksandr A. Vybornov, Aleksandr A. Khokhlov, Kirill I. Borodulin

“…For the Mesolithic era, experts have identified two zones of ritualism: the northern with an elongated posture of skeleton and the southern with a crouched posture. Until recently on the territory of the Volga-Urals, Mesolithic burials were almost unknown. …”
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Numerical methods of computation of singular and hypersingular integrals by I. V. Boikov

“…This review is devoted to the optimal with respect to accuracy algorithms of the calculation of singular integrals with fixed singularity, Cauchy and Hilbert kernels, polysingular and many-dimensional singular integrals. …”
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On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces by Ayush Bartwal, Junaid Ahmad, R. C. Dimri, Gopi Prasad, Ebenezer Bonyah

“…We essentially suggest the concept of mutual sequences and Cauchy mutual sequence and utilize the same to prove the existence and uniqueness of common fixed point results for finite number of self- and non-self-mappings using fuzzy ℤ∗-contractive mappings in fuzzy metric spaces. …”
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Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth by Prity Ghosh, Uma Basu, B. N. Mandal

“…This paper is concerned with a Cauchy-Poisson problem in a weakly stratified ocean of uniform finite depth bounded above by an inertial surface (IS). …”
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Propagation of Water Waves over Uneven Bottom under the Effect of Surface Tension by Juan Carlos Muñoz Grajales

“…We establish existence and uniqueness of solutions to the Cauchy problem associated with a new one-dimensional weakly-nonlinear, weakly-dispersive system which arises as an asymptotical approximation of the full potential theory equations for modelling propagation of small amplitude water waves on the surface of a shallow channel with variable depth, taking into account the effect of surface tension. …”
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Strong Convergence of New Two-Step Viscosity Iterative Approximation Methods for Set-Valued Nonexpansive Mappings in CAT(0) Spaces by Ting-jian Xiong, Heng-you Lan

“…By means of some properties and characteristic to CAT(0) space and using Cauchy-Schwarz inequality and Xu’s inequality, strong convergence theorems of the new two-step viscosity iterative process for set-valued nonexpansive and contraction operators in complete CAT(0) spaces are provided. …”
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Singular integrals and potentials in some Banach function spaces with variable exponent by Vakhtang Kokilashvili, Stefan Samko

“…The mapping properties of Cauchy singular integrals defined on Lyapunov curves and on curves of bounded rotation are also investigated within the framework of the introduced spaces.…”
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Statistical Convergence of Double Sequences on Probabilistic Normed Spaces by S. Karakus, K. Demırcı

“…In this paper, we define statistical analogues of convergence and Cauchy for double sequences on probabilistic normed spaces. …”
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Riesz potential operators and inverses via fractional centred derivatives by Manuel Duarte Ortigueira

“…The computations of the involved integrals lead to new generalizations of the Cauchy integral derivative. To compute this integral, a special two-straight-line path was used. …”
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Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation by Ning Su, Li Zhang

“…We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dt𝒜u+ℬu∋ft in V′, t∈0, T, where V is a real reflexive Banach space, 𝒜 and ℬ are maximal monotone operators (possibly multivalued) from V to its dual V′. …”
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Perturbation of an α-stable type stochastic process by a pseudo-gradient by Mykola Boiko, Mykhailo Osypchuk

“…Such perturbation defines a family of evolution operators, properties of which are investigated. A corresponding Cauchy problem is considered.…”
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Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics by Peng Jiang, Jinkai Ni, Lu Zhu

“…The global existence of classical solutions to the Cauchy problem in the whole space is established when initial data is a small smooth perturbation of a constant equilibrium state: moreover, an algebraic rate of convergence of solutions toward equilibrium is obtained under additional conditions on initial data. …”
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The Gauge Integral Theory in HOL4 by Zhiping Shi, Weiqing Gu, Xiaojuan Li, Yong Guan, Shiwei Ye, Jie Zhang, Hongxing Wei

“…In this paper, we formalize the operational properties which contain the linearity, monotonicity, integration by parts, the Cauchy-type integrability criterion, and other important theorems of the gauge integral in higher-order logic 4 (HOL4) and then use them to verify an inverting integrator. …”
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An optimal energy-efficient resource allocation algorithm in ultra-dense network by Yueyue ZHANG, Weiwei XIA, Yaping ZHU, Feng YAN, Xuzhou ZUO, Lianfeng SHEN

“…The energy-efficient resource allocation problem was taken in an ultra-dense network(UDN) consisted of multiple femtocells.Aiming at maximizing the energy efficiency (EE) of the whole network,quality of service (QoS) constraint and interference limitation was considered.Then,the established nonconvex and nonlinear problem was relaxed relying on Cauchy inequality,and was developed into a non-cooperative game.Additionally,a distributed EE maximization algorithm was proposed satisfying the max-min fairness (MMF) criterion.Simulation results show that the proposed algorithm outperformances the existing algorithms in terms of the EE and the throughput.…”
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Contribution of Patch Tests with Occupational Handled Products in the Diagnosis of Occupational Contact Dermatitis: A 10-year Review by A. Aloui, M. Maoua, S. El Guedri, A. Moussa, M. Bouhoula, A. Chouchene, I. Kacem, A. Brahem, N. Ghariani, H. Kalboussi, O. El Maalel, S. Chatti, M. Denguezli, N. Mrizek

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Enhanced bioelectrochemical degradation of Thiabendazole using biostimulated Tunisian hypersaline sediments: kinetics, efficiency, and microbial community shifts by Nesrine Saidi, Benjamin Erable, Luc Etchevery, Ameur Cherif, Habib Chouchane

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Genetic markers on the distribution of ancient marine hunters in Priokhotye by B. A. Malyarchuk

“…It is known that the “Arctic” variant of the CPT1A gene is widely distributed in modern populations of the Eskimos, Chukchis, Koryaks, and other peoples of the Okhotsk Sea region, whose economic structure is associated with marine hunting. …”
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Hypertension Management in Brazil: Usual Practice in Primary Care—A Meta-Analysis by Rafael V. Picon, Juvenal S. Dias-da-Costa, Flavio D. Fuchs, Maria Teresa A. Olinto, Niteesh K. Choudhry, Sandra C. Fuchs

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Portfolio formation based on risk-adjusted performance and distribution-based returns using data envelopment analysis by Hosseinali Heydarzadeh, Fereydon Rahnamay Roodposhti, Alireza Rashidi Komijan, Seyyed Esmaeil Najafi

“…After estimating the maximum likelihood parameters of the model, the risk values for each stock were calculated based on the empirical return distribution, the Cauchy distribution, and the normal distribution. …”
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New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations by Sirada Pinjai, Kanit Mukdasai

“…Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). …”
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