Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space by Rongfei Lin, Yueqing Zhao, Qingbiao Wu, Jueliang Hu

“…We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. …”
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Theoretical Evaluation of Refractive Index in Binary Liquid Mixtures by Shipra Baluja, Nirmal Pandaya, Nikunj Kachhadia, Asif Solanki

“…The experimental values are compared with those calculated from Lorentz-Lorentz, Heller, Newton and Gladstone -Dale mixing rules.…”
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Pulmonary Embolism following Cessation of Infliximab for Treatment of Miliary Tuberculosis by Brian Lee, Farid Moosavy

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Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays by Manlika Rajchakit, Grienggrai Rajchakit

“…By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, a switching rule for the mean square exponential stability of switched stochastic system with interval time-varying delays and new delay-dependent sufficient conditions for the mean square exponential stability of the switched stochastic system are first established in terms of LMIs. …”
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Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type by W. Weera, P. Niamsup

“…By constructing a set of improved Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, we establish some stability criteria in terms of linear matrix inequalities. …”
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Sur la géométrie des ensembles de nœuds pour l’interpolation de Lagrange en plusieurs variables by Bertrand, François

“…This leads to an estimate of the number of Newton structures for $X$ which, in turn, gives the number of different unisolvent sets that can be obtainend by the process of interwinning which is recalled in the text.…”
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The epidemiology and phenomenology of non-antipsychotic-induced dystonia: a hybrid systematic-narrative review by Catthoor Kirsten, Detraux Johan, Marc De Hert

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A Fourth Order Finite Difference Method for the Good Boussinesq Equation by M. S. Ismail, Farida Mosally

“…The resulting scheme is analyzed for accuracy and stability. Newton’s method and linearization techniques are used to solve the resulting nonlinear system. …”
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La disyuntiva de Dios: ¿derivadas enteras o fraccionarias? by Jorge Fujioka Rojas

“…Para salir de esta duda Dios examina lo quepasaría si en la segunda ley de Newton pusiera una derivada fraccionaria, en lugar de la segundaderivada usual. …”
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Convergence and Dynamics of Schröder’s Method for Zeros of Analytic Functions with Unknown Multiplicity by Plamena I. Marcheva, Stoil I. Ivanov

“…A comparison with the famous Newton’s method, based on the convergence and dynamics when it is applied to some polynomial and non-polynomial equations, is also provided.…”
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Enhancing the Solubility of Co-Formulated Hydrophobic Drugs by Incorporating Functionalized Nano-Structured Poly Lactic-<i>co</i>-glycolic Acid (<i>nf</i>PLGA) During Co-Precipitat... by Mohammad Saiful Islam, Somenath Mitra

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Chemical Diversity of UK-Grown Tea Explored Using Metabolomics and Machine Learning by Amanda J. Lloyd, Alina Warren-Walker, Jasen Finch, Jo Harper, Kathryn Bennet, Alison Watson, Laura Lyons, Pilar Martinez Martin, Thomas Wilson, Manfred Beckmann

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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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A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method by Meftah Kamel, Sedira Lakhdar

“…An incremental finite element procedure has been used for the elasto-plastic analysis of the thick bending plate. Modified Newton-Raphson method has been used to solve the nonlinear equations. …”
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A Fixed Point Technique for Set-Valued Contractions with Supportive Applications by Hasanen A. Hammad, Manuel De la Sen

“…Finally, the theoretical results are used to study the existence of the solution of Fredholm integral equation which arises from the damped harmonic oscillator, to study initial value problem which arises from Newton’s law of cooling and to study infinite systems of fractional ordinary differential equations (ODEs).…”
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La transformation des friches à l’épreuve de l’adaptation des territoires au changement global by Samia Sediri, Marc Kaszynski, Michel Trommetter, Nathalie Frascaria-Lacoste

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Companion of Ostrowski Inequality for Multiplicatively Convex Functions by Badreddine Meftah, Abdelghani Lakhdari, Saleh Wedad, Chemeseddine djaber Benchettah

“…Initially, we establish a novel identity using the two-point Newton-Cotes formula for multiplicatively differentiable functions. …”
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The Spell of Homo Informaticus: Two Superstitions and Three Dreams by Marius Povilas Saulauskas

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Stochastic Passivity of Uncertain Neural Networks with Time-Varying Delays by Jianting Zhou, Qiankun Song, Jianxi Yang

“…By constructing appropriate Lyapunov-Krasovskii functionals, and employing Newton-Leibniz formulation, the free-weighting matrix method, and stochastic analysis technique, a delay-dependent criterion for checking the passivity of the addressed neural networks is established in terms of linear matrix inequalities (LMIs), which can be checked numerically using the effective LMI toolbox in MATLAB. …”
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Spectral Element Method for Fractional Klein–Gordon Equations Using Interpolating Scaling Functions by Haifa Bin Jebreen

“…To find the solution, the generalized minimal residual method (GMRES method) and Newton’s method are used in linear and nonlinear forms of this system, respectively. …”
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