Search Results - approximation by one function of a single complex variable

Inequalities of Kolmogorov type for analytic functions of one and two complex variables and their applications to approximation theory by Vakarchuk, S. B., Vakarchuk, M. B.

“… We also present applications of these inequalities to problems of the theory of approximation of analytic functions of one and two complex variables…”
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Approximating harmonic functions on R n with one function of a single complex variable by Whitley, R. J., Hromadka, T. V.

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Approximating harmonic functions on Rn with one function of a single complex variable by Whitley, R. J., Hromadka II, T. V.

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Molecular Auger decay rates from complex-variable coupled-cluster theory by Matz, Florian, Jagau, Thomas-C

“…, meaning that Auger decay is neglected. Here, we present an approach to compute Auger decay rates of core-vacant states from coupled-cluster and equation-of-motion coupled-cluster wave functions combined with complex scaling…”
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Single-valued harmonic polylogarithms and the multi-Regge limit by Dixon, Lance J., Duhr, Claude, Pennington, Jeffrey

“… These functions depend on a single complex variable and its conjugate, ( w , w ∗ ). Using these functions, and formulas due to Fadin, Lipatov and Prygarin, we determine the six-gluon MHV remainder function in the leading-logarithmic approximation (LLA…”
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Coupling radiative, conductive and convective heat-transfers in a single Monte Carlo algorithm: A general theoretical framework for linear situations by Tregan, Jean Marc, Amestoy, Jean Luc, Bati, Megane, Bezian, Jean-Jacques, Blanco, Stéphane, Brunel, Laurent, Caliot, Cyril, Charon, Julien, Cornet, Jean-Francois, Coustet, Christophe, d’Alençon, Louis, Dauchet, Jeremi, Dutour, Sebastien, Eibner, Simon, El Hafi, Mouna, Eymet, Vincent, Farges, Olivier, Forest, Vincent, Fournier, Richard, Galtier, Mathieu, Gattepaille, Victor, Gautrais, Jacques, He, Zili, Hourdin, Frédéric, Ibarrart, Loris, Joly, Jean-Louis, Lapeyre, Paule, Lavieille, Pascal, Lecureux, Marie-Helene, Lluc, Jacques, Miscevic, Marc, Mourtaday, Nada, Nyffenegger-Péré, Yaniss, Pelissier, Lionel, Penazzi, Lea, Piaud, Benjamin, Rodrigues-Viguier, Clément, Roques, Gisele, Roger, Maxime, Saez, Thomas, Terrée, Guillaume, Villefranque, Najda, Vourc’h, Thomas, Yaacoub, Daniel

“…It was recently shown that radiation, conduction and convection can be combined within a single Monte Carlo algorithm and that such an algorithm immediately benefits from state-of-the-art computer…”
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A Method for Multi-Leader–Multi-Follower Games by Smoothing the Followers’ Response Function by Hori, Atsushi, Tsuyuguchi, Daisuke, Fukuda, Ellen H.

“…) and solve it using a solver. Meanwhile, interpreting the solution to the EPEC in the context of MLMFG may be complex due to shared decision variables among all leaders, followers…”
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Analyzing Newton's Method for Solving Algebraic Equations with Complex Variables: Theory and Computational Analysis by Al-Shorman, Ammar, Ajeel, Mahmood Shareef, Al-Khaled, Kamel

“… to Newton's method, but with a degree of convergence greater than two. We compare the use of Newton's technique for solving equations with a single variable to the solution of equations with many variables…”
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A thin-film-covered mode III crack with dislocation-free zones by Wang, Xu, Schiavone, Peter

“…We use complex variable methods and the theory of singular integral equations to study a thin-film-covered mode III crack with dislocation-free zones (DFZs…”
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Generalized functional varying-index coefficient model for dynamic synergistic gene-environment interactions with binary longitudinal traits by Zhang, Jingyi, Wang, Honglang, Cui, Yuehua

“…The genetic basis of complex traits involves the function of many genes with small effects as well as complex gene-gene and gene-environment interactions…”
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The six-point remainder function to all loop orders in the multi-Regge limit by Pennington, Jeffrey

“… — the single-valued harmonic polylogarithms introduced by Brown. These functions depend on a single complex variable and its conjugate, w and w…”
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Deep neural networks for choice analysis: A statistical learning theory perspective by Wang, Shenhao, Wang, Qingyi, Bailey, Nate, Zhao, Jinhua

“…•Used statistical learning theory to evaluate DNNs in choice analysis.•Operationalized DNN interpretability by using the choice probability functions…”
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Nonlinear extensional-flexural vibrations in variable cross section beams with eccentric intermediate mass by Aghaei, Mehrdad Noei, Moeenfard, Hamid, Moavenian, Majid

“… So, the objective of the current research is to provide a nonlinear dynamic model for extensional-flexural vibration of such beams with variable cross sections…”
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Computational framework for complex flow and transport in heterogeneous porous media by Icardi, Matteo, Pescimoro, Eugenio, Municchi, Federico, Hidalgo, Juan J.

“… Random fields, for permeability and other physical properties, are generated by means of continuous or thresholded Gaussian random fields with various covariance/variogram functions…”
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Probabilistic analysis of random nonlinear oscillators subject to small perturbations via probability density functions: theory and computing by Cortés, Juan-Carlos, López-Navarro, Elena, Romero, José-Vicente, Roselló, María-Dolores

“… We obtain, via the stochastic perturbation technique, approximations of the main statistics of the steady state, which is a random variable, including the first moments, and the correlation and power spectral functions…”
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Jacobi Neural Network Method for Solving Linear Differential-Algebraic Equations with Variable Coefficients by Liu, Hongliang, Liu, Huini, Xu, Jie, Li, Lijuan, Song, Jingwen

“… First, Jacobi neural network is applied to derive the approximate solutions form of DAEs, and the loss function is constructed for DAEs based on single hidden layer Jacobi neural network structure…”
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Additive varying-coefficient model for nonlinear gene-environment interactions by Wu, Cen, Zhong, Ping-Shou, Cui, Yuehua

“…Gene-environment (G×E) interaction plays a pivotal role in understanding the genetic basis of complex disease…”
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An active failure-pursuing Kriging modeling method for time-dependent reliability analysis by Jiang, Chen, Wang, Dapeng, Qiu, Haobo, Gao, Liang, Chen, Liming, Yang, Zan

“… Some time-dependent reliability analysis methods use surrogate models to approximate the implicit limit state functions of complex systems…”
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Small Sample Bayesian Designs for Complex High-Dimensional Models Based on Information Gained Using Fast Approximations by Cumming, Jonathan A., Goldstein, Michael

“…We consider the problem of designing for complex high-dimensional computer models that can be evaluated at different levels of accuracy…”
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Fuzzy model‐based multi‐objective dynamic programming with modified particle swarm optimization approach for the balance control of bicycle robot by Sun, Yiyong, Zhao, Haotian, Chen, Zhang, Zheng, Xudong, Zhao, Mingguo, Liang, Bin

“…Existing studies for the balance control of unmanned bicycle robots only consider constant forward velocity and a single optimal objective that cannot be applied to the complex motion situation…”
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