Variational Analysis, Optimization, and Fixed Point Theory by Qamrul Hasan Ansari, Mohamed Amine Khamsi, Abdul Latif, Jen-Chih Yao

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Variational analysis for simulating free-surface flows in a porous medium by Shabbir Ahmed, Charles Collins

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Prediction of Surface Roughness of Workpiece for Internal Gearing Power Honing Process and Variation Analysis by Ren Qiang, Xia Liang, Zhang Guozheng, Zhu Yonggang, Han Jiang

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Low-density SNP marker sets for genetic variation analysis and variety identification in cultivated citrus by Phuong Linh Nguyen, Jin-Kee Jung, Jee-Soo Park, Sung-Chur Sim

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Codon usage patterns and genomic variation analysis of chloroplast genomes provides new insights into the evolution of Aroideae by Xinbi Jia, Jiaqi Wei, Yuewen Chen, Chenghong Zeng, Chan Deng, Pengchen Zeng, Yufei Tang, Qinghong Zhou, Yingjin Huang, Qianglong Zhu

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Genetic Variation Analysis of Hsp101 Gene in Common Wild Rice and Asian Cultivated Rice Germplasm Resources by Yue LIU, Liqun JIANG, Shuwei LYU, Bingrui SUN, Chen LI, Qing LIU, Hang YU

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Variational Analysis of a Dynamic Contact Problem with Wear and Damage Involving Viscoelastic Materials with Long-Term Memory by Ahmed Hamidat, Hakim Bagua, Adel Aissaoui

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Interior Peak Solutions for a Semilinear Dirichlet Problem by Hissah Alharbi, Hibah Alkhuzayyim, Mohamed Ben Ayed, Khalil El Mehdi

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Phylogenetic and Genetic Variation Analysis of ITS1 Gene of Trypanosoma lewisi in Wild Rats Using Polymerase Chain Reaction by Reza Yesica, Andreas Bandang Hardian, Yudit Oktanella, Shelly Kusumarini, Gabriela Jeanne Giacynta Prasetyo

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Morphometric Investigation of a Species Complex in <i>Mimosa</i> Section <i>Batocaulon</i> Series <i>Cordistipulae</i> (Leguminosae, Caesalpinioideae) by Janaína G. A. Nascimento, Luciano P. Queiroz, Marlon C. Machado, Cássio van den Berg

Subjects: “…canonical variate analysis…”
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Metagenomic next-generation sequencing for lung cancer low respiratory tract infections diagnosis and characterizing microbiome features by Yao Liu, Bohan Yang, Qi Qi, Shijie Liu, Yiheng Du, Linlin Ye, Qiong Zhou

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Formulations for Estimating Spatial Variations of Analysis Error Variance to Improve Multiscale and Multistep Variational Data Assimilation by Qin Xu, Li Wei

“…The successively improved accuracies of these three formulations and their increasingly positive impacts on the two-step variational analysis (or multistep variational analysis in first two steps) are demonstrated by idealized experiments.…”
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Graph-Based Symbolic Technique and Its Application in the Frequency Response Bound Analysis of Analog Integrated Circuits by E. Tlelo-Cuautle, S. Rodriguez-Chavez, A. A. Palma-Rodriguez

“…Our simulations demonstrate the usefulness of the new GBST for deriving the exact symbolic expression for H(s), and the last section highlights the good agreement between the frequency response bounds computed by our variational analysis approach versus traditional Monte Carlo simulations. …”
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Performance of Three Reanalysis Precipitation Datasets over the Qinling-Daba Mountains, Eastern Fringe of Tibetan Plateau, China by Gefei Wang, Xiaowen Zhang, Shiqiang Zhang

“…The advantages of involving more precipitation observation stations was probably the main reason of the different performance of three precipitation reanalysis products, and the benefit of a four-dimensional variational analysis model over a three-dimensional variational analysis model may be another reason. …”
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Restrictive metric regularity and generalized differential calculus in Banach spaces by Boris S. Mordukhovich, Bingwu Wang

“…We develop applications of the results obtained and some other techniques in variational analysis to generalized differential calculus involving normal cones to nonsmooth and nonconvex sets, coderivatives of set-valued mappings, as well as first-order and second-order subdifferentials of extended real-valued functions.…”
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PROPER AND ISOLATED EFFICIENCIES IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS by Thái Doãn Chương

“…We employ some advanced tools of variational analysis and generalised differentiation such as the nonsmooth version of Fermat's rule, the limiting sub-differential of maximum functions, and the sum rules for the Frechet and Mordukhovich sub-differentials to establish necessary conditions for (local) properly efficient solutions and (local) isolated minimizers of a multi-objective optimisation problem involving inequality and equality constraints. …”
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A Regularization SAA Scheme for a Stochastic Mathematical Program with Complementarity Constraints by Yu-xin Li, Jie Zhang, Zun-quan Xia

“…The analysis of this regularization method is carried out in three steps: First, the almost sure convergence of optimal solutions of the regularized SAA problem to that of the true problem is established by the notion of epiconvergence in variational analysis. Second, under MPCC-MFCQ, which is weaker than MPCC-LICQ, we show that any accumulation point of Karash-Kuhn-Tucker points of the regularized SAA problem is almost surely a kind of stationary point of SMPCC as the sample size tends to infinity. …”
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The Development of a Hybrid EnKF-3DVAR Algorithm for Storm-Scale Data Assimilation by Jidong Gao, Ming Xue, David J. Stensrud

“…The hybrid algorithm uses the extended alpha control variable approach to combine the static and ensemble-derived flow-dependent forecast error covariances. The hybrid variational analysis is performed using an equal weighting of static and flow-dependent error covariance as derived from ensemble forecasts. …”
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A Study of Coupling Parameter Estimation Implemented by 4D-Var and EnKF with a Simple Coupled System by Guijun Han, Xinrong Wu, Shaoqing Zhang, Zhengyu Liu, Ionel Michael Navon, Wei Li

“…With a simple Lorenz-atmosphere and slab ocean coupled system that characterizes the interaction of two-timescale media in a coupled “climate” system, this study explores feasibility of the CPE with four-dimensional variational analysis and ensemble Kalman filter within a perfect observing system simulation experiment framework. …”
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Single-nucleotide variant rs1800139 of the LRP1 gene as a factor in the development of obesity in children by O.Ye. Abaturov, A.O. Nikulina

“…Static analysis: variational analysis, Wald analysis, calculation of χ2, Kramer's independence test, Spearman's correlation analysis, ROC analysis. …”
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