A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation by Fiza Zafar, Nusrat Yasmin, Saima Akram, Moin-ud-Din Junjua

“…These methods do not need Newton’s iterate in the …first step of their iterative schemes. …”
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Mass-Energy Equivalence derived from Newtonian mechanics by Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira

“…This paper presents the Einstein’s mass-energy equivalence and the equations of relativistic mass, momentum and energy from the Newton’s second law of motion.      …”
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On singular projective deformations of two second class totally focal pseudocongruences of planes by Ludmila Goldberg

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Recent Progress of Imprinted Nanomaterials in Analytical Chemistry by Rüstem Keçili, Chaudhery Mustansar Hussain

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One step further: improving paediatric TB diagnosis through user-centred research approaches by F.W. Basile, E.M. Bijker, M. Sekadde, S.E. Dorman, J.J. Ellner, N. Engel, M. Ruhwald, R. Song

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A Fractional Trust Region Method for Linear Equality Constrained Optimization by Honglan Zhu, Qin Ni, Liwei Zhang, Weiwei Yang

“…A quasi-Newton trust region method with a new fractional model for linearly constrained optimization problems is proposed. …”
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A Robust Control for an Aerial Robot Quadrotor under Wind Gusts by Li Ding, Zhenwei Wang

“…The nonlinear dynamical model of the quadrotor, considering the wind disturbance, is firstly established through Newton-Euler method. Subsequently, a robust LADRC technique is proposed to design the controllers for the inner loop and outer loop of the aircraft. …”
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Inversion Free Algorithms for Computing the Principal Square Root of a Matrix by Nicholas Assimakis, Maria Adam

“…It is certified that the proposed algorithms are equivalent to the classical Newton method. An inversion free algebraic method, which is based on applying the Bernoulli substitution to a special case of the continuous time Riccati equation, is also proposed.…”
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Delay-Range-Dependent Stability Criteria for Takagi-Sugeno Fuzzy Systems with Fast Time-Varying Delays by Pin-Lin Liu

“…By developing delay decomposition approach, integral inequalities approach (IIA), and Leibniz-Newton formula, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs) which can be easily solved by various optimization algorithms. …”
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On the Dynamics of the Furuta Pendulum by Benjamin Seth Cazzolato, Zebb Prime

“…In this paper, the full dynamics of the Furuta pendulum are derived using two methods: a Lagrangian formulation and an iterative Newton-Euler formulation. Approximations are made to the full dynamics which converge to the more commonly presented expressions. …”
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ASA, NSAIDs, Coxibs and Colorectal Cancer Prevention — How Far Have We Come? by Martin Fishman

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The Linear Fitting Method for Model of PIN Array Receiver in Space Optical Communication by H. Qinggui

“…Later, we adopt both the traditional method Newton-Raphson and the new linear fitting method to calculate the values of both maximum power and the corresponding voltage of 3 × 3 PIN array. …”
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Protecting and Expanding Railway Networks to Hedge against Disruptions: A Model with Travel Segments by Stefano Starita, Chandra Ade Irawan, Pavitra Jindahra

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Alman İmparatoru İstanbul’da (1917) by Kürşat Ö. Karacagil

“…Dünya Savaşında Almanya’nın müttefiki olan Osmanlı Devleti ve Bulgaristan’a moral ve destek ziyareti oldu. Dört günlük ziyareti sırasında İmparator birçok resmi görüşme yaptı ve Çanakkale Savaşlarının geçtiği yerleri de gezme fırsatı da buldu.…”
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Informations et jeux d’acteurs autour d’une politique environnementale : le cas du programme de paiements pour services environnementaux au Costa Rica by Denis Pesche, Jean-François Le Coq

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Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition by Yong Cao, Yuchuan Chu, Xiaoming He, Mingzhen Wei

“…The physical interface conditions are directly utilized to construct the boundary conditions on the interface and then decouple the Navier-Stokes and Darcy equations. Newton iteration will be used to deal with the nonlinear systems. …”
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Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control by T. Botmart, W. Weera

“…Based on the construction of improved Lyapunov-Krasovskii functionals is combined with Leibniz-Newton's formula and the technique of dealing with some integral terms. …”
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Parameter Estimation on a Stochastic SIR Model with Media Coverage by Changguo Li, Yongzhen Pei, Meixia Zhu, Yue Deng

“…In order to reduce the computational load, the Newton-Raphson algorithm and Markov Chain Monte Carlo (MCMC) technique are incorporated with maximum likelihood estimation. …”
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On a general convergence for Broyden like update method by Rabindranath Sen, Rini Chattopadhyay, Tripti Saha

“…The role of Broyden's method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. …”
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Intestinal Host-Microbe Interactions under Physiological and Pathological Conditions by Rodrigo Bibiloni, Eduardo J. Schiffrin

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