Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications by Mujahid Abbas, Hira Iqbal, Manuel De La Sen

“…We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. …”
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Fixed Point Results Satisfying Rational Type Contraction in G-Metric Spaces by Branislav Z. Popović, Muhammad Shoaib, Muhammad Sarwar

“…A unique fixed point theorem for three self-maps under rational type contractive condition is established. …”
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Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind by François Dubeau

“…We show that Schröder’s processes of the first kind and of the second kind to obtain a simple root of a nonlinear equation are related by polynomial and rational approximations.…”
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The effect of different rations on ph and volatile fatty acids in the rumen of angora goats by Mehmet KOCABATMAZ, M. Yaşar AKSOYLAR, Zafer DURGUN, Mursayettin EKSEN

“…The alfalfa straw and concentrate mixture were fed in the proportions of 80 :20, 60 :40 and 40 : 60 in treatments I, II and III respectively. The rations were given once a day at the 3 % level o'f each goat's body weight.…”
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Setting a Higher Water Price on the Over-Ration Excessive Water Usage by ZHONG Ming

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Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation by Yan Li, Temuer Chaolu, Yuexing Bai

“…In this paper, with the help of symbolic computation, three types of rational solutions for the (2+1)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation are derived. …”
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Excited state dynamics of azanaphthalenes reveal opportunities for the rational design of photoactive molecules by Malcolm Garrow, Lauren Bertram, Abi Winter, Andrew W. Prentice, Stuart W. Crane, Paul D. Lane, Stuart J. Greaves, Martin J. Paterson, Adam Kirrander, Dave Townsend

“…The fact that quantum chemistry calculations can achieve such detailed and nuanced agreement with experimental data across a full set of six molecules exhibiting subtle variations in their composition provides an excellent example of the current state-of-the-art and is indicative of future opportunities for rational design of photoactive molecules.…”
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The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations by Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti

“…We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable nonlinearity, the discrete nonlinear Klein-Gordon equation, and the quintic discrete nonlinear Schrodinger equation. …”
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Artificial intelligence-driven rational design of ionizable lipids for mRNA delivery by Wei Wang, Kepan Chen, Ting Jiang, Yiyang Wu, Zheng Wu, Hang Ying, Hang Yu, Jing Lu, Jinzhong Lin, Defang Ouyang

“…This study leverages artificial intelligence (AI) and virtual screening to facilitate the rational design of ionizable lipids by predicting two key properties of LNPs, apparent pKa and mRNA delivery efficiency. …”
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Publisher Correction: Humans rationally balance detailed and temporally abstract world models by Ari E. Kahn, Nathaniel D. Daw

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PROJECT MANAGEMENT ISSUES IN THE FIELD OF ECOLOGY: RATIONAL NATURE USE AND RESOURCE SAVING by Yu. G. Evdokimova, S. M. Sycheva, T. B. Shramchenko

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Dimensions of Rational Decision-Making during the Demographic Transition; Aranjuez (Spain) Revisited by David Reher, Glenn Sandström

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Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations by Weizhen Quan, Xiaomei Lu, Li Wang, Jingren Zhou, Ridi Huang

“…The purpose of this paper is to discuss a nonlinear rational difference equation system with three variables. …”
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Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces by J. Rocha, B. Rzepka, K. Sadarangani

“…We prove the existence of the PPF dependent fixed point in the Razumikhin class for contractions of rational type in Banach spaces, by using a general class of pairs of functions. …”
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Application of the Rational Hermite Interpolation LMD Method in the Compound Fault Diagnosis Research by Cui Yanping, Lu Zhaojing, Wu Chunyu

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Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions by Na Xiong, Wen-Tao Li, Biao Li

“…Then, we do numerical analysis on the rational solutions and fit the trajectory equation of the crest. …”
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Dimensions of Rational Decision-Making during the Demographic Transition; Aranjuez (Spain) Revisited by David Reher, Glenn Sandström

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Research on Multi-dimensional Index System of Rationality Analysis of Water Use Plan by CHEN Yafen, LIU Yanju, LI Min, ZHANG Desheng

“…Water use plan is an effective way to rationally develop and utilize water resources,improve the efficiency of water use,and promote the construction of a water-saving society.The current water use plan of approving and issuing work system is not perfect,and it does not meet the current requirements of water saving priority and quota management.In order to analyze the influencing factors of water users and determine the rationality of the application,release and actual water use of the water use plan,this study established a multi-dimensional index system for rationality analysis of water use plan,the indicator system application was carried out with Guizhou Faer Power Plant as the object.Through the analysis of the three dimensions of total water consumption,water efficiency and water efficiency,it was believed that the power plant passes the rationality analysis of the water plan constructed this time,which took the two dimensions of total water consumption and water efficiency as constraints,and the water efficiency dimension as the target value,the power plants 2020 water plan is reasonable.…”
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Rational hybrid block method for solving Bratu-type boundary value problems by S.S. Motsa, S.D. Oloniiju, H. Sithole-Mthethwa

Subjects: “…Rational hybrid block method…”
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Dimensions of Rational Decision-Making during the Demographic Transition; Aranjuez (Spain) Revisited by David Reher, Glenn Sandström

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