Holmgren problem for Helmholtz equation with the three singular coefficients by Davlatjon R. Muydinjanov

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Solutions of the system of dual matrix equation AXB=B=BXA in two partial orders

“…The special case in which A=B is discussed and the properties of {1}−dual generalized inverse are used to verify the accuracy of the explicit solution of dual matrix equation BXB=B. Finally, the explicit formula for the unique minimum-norm solution is given. © 2024 The Authors…”
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Revisiting k: Time‐varying stream litter breakdown rates by Caleb J. Robbins, William J. Matthaeus, Rebecca A. Eckert, Elliot Bastias, Allyn K. Dodd, Jérémy Jabiol, David W. P. Manning, Andrew S. Mehring, Ada Pastor

“…Considering alternative models could accelerate understanding and prediction of litter decomposition dynamics by enabling investigation of time‐explicit decomposition dynamics and more precise modeling when warranted.…”
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Three-party password authenticated key agreement protocol with user anonymity based on lattice by Caifen WANG, Li CHEN

“…With the rapid development of quantum theory and the existence of polynomial algorithm in quantum computation based on discrete logarithm problem and large integer decomposition problem,the security of the algorithm was seriously threatened.Therefore,two authentication key agreement protocols were proposed rely on ring-learning-with-error (RLWE) assumption including lattice-based implicit authentication key agreement scheme and lattice-based explicit authentication key agreement scheme and proved its security.The implicit authentication key agreement protocol is less to communicate and faster to authentication,the explicit authentication key agreement protocol is more to secure.At the same time,bidirectional authentication of users and servers can resist unpredictable online dictionary attacks.The new protocol has higher efficiency and shorter key length than other password authentication key agreement protocols.It can resist quantum attacks.Therefore,the protocol is efficient,secure,and suitable for large-scale network communication.…”
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Three-party password authenticated key agreement protocol with user anonymity based on lattice by Caifen WANG, Li CHEN

“…With the rapid development of quantum theory and the existence of polynomial algorithm in quantum computation based on discrete logarithm problem and large integer decomposition problem,the security of the algorithm was seriously threatened.Therefore,two authentication key agreement protocols were proposed rely on ring-learning-with-error (RLWE) assumption including lattice-based implicit authentication key agreement scheme and lattice-based explicit authentication key agreement scheme and proved its security.The implicit authentication key agreement protocol is less to communicate and faster to authentication,the explicit authentication key agreement protocol is more to secure.At the same time,bidirectional authentication of users and servers can resist unpredictable online dictionary attacks.The new protocol has higher efficiency and shorter key length than other password authentication key agreement protocols.It can resist quantum attacks.Therefore,the protocol is efficient,secure,and suitable for large-scale network communication.…”
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A new micro HATI second order preserving for transient dynamics by Yvan Le Nôtre, Michael Brun, Clement Grenat, Anthony Gravouil

“…The BLG method turns out to be second-order accurate when coupling second-order accurate time integrators from the Newmark family, gaining one order with respect to the GC method. Multi-time step explicit/implicit and explicit/explicit coupling with the BLG method are considered as the most interesting cases for promising applications in nonlinear structural dynamics with impacts and complex fluid–structure interaction problems.…”
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On Analytical Solution of Time-Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis by Saima Rashid, Rehana Ashraf, Ebenezer Bonyah

“…This research utilizes the generalized integral transform and the Adomian decomposition method to derive a fascinating explicit pattern for outcomes of the biological population model (BPM). …”
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Targeting mediating mechanisms of social disparities with an interventional effects framework, applied to the gender pay gap in Western Germany by Didden Christiane

“…The Oaxaca-Blinder (OB) decomposition is a widely used method to explain social disparities. …”
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Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations by Mahmut Modanli, Bushra Bajjah, Sevgi Kuşulay

“…The modified double Laplace decomposition method is applied to get the semianalytic solutions and the explicit finite difference method to get the approximate solutions of the problems. …”
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A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator by Lei Zhang, Shaoguang Shi

“…Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol function belongs to the central BMO ℝn space, then the commutator are bounded on Lebesgue space. …”
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Morlet Wavelets in Quantum Mechanics by John Ashmead

“…But to take full advantage of Morlet wavelets we need to supply an explicit form for the inverse Morlet transform and a manifestly covariant form for the four-dimensional Morlet wavelet. …”
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Spatial Inequality by Sergio Rey

“…By examining various a-spatial and spatially explicit approaches, the paper highlights the complexities of measuring inequality across places and over time. …”
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Application of Optimal Homotopy Asymptotic Method to Burger Equations by R. Nawaz, H. Ullah, S. Islam, M. Idrees

“…The results obtained by proposed method are compared to those of Adomian decomposition method (ADM) (Ismail et al., (2004)). As a result it is concluded that the method is explicit, effective, and simple to use.…”
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Optimal Modified Performance of MIMO Networked Control Systems With Packet Dropouts and Bandwidth Constraints by Lingli Cheng, Heng Zhan, Yu Shi, Xisheng Zhan

“…By using frequency domain analysis and various decomposition methods, the explicit expression for optimal modified performance under NCSs stability is obtained. …”
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Computing the Normalized Laplacian Spectrum and Spanning Tree of the Strong Prism of Octagonal Network by Yasir Ahamad, Umar Ali, Imran Siddique, Aiyared Iampan, Walaa A. Afifi, Hamiden Abd-El-Wahed Khalifa

“…As applications of the obtained results, the explicit formulae of the degree-Kirchhoff index and the number of spanning trees for On2 are on the basis of the relationship between the roots and coefficients.…”
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String moduli spaces and parabolic factorizations by Paul S. Aspinwall

“…Abstract The symmetric spaces that appear as moduli spaces in string theory and supergravity can be decomposed with explicit metrics using parabolic subgroups. The resulting isometry between the original moduli space and this decomposition can be used to find parametrizations of the moduli. …”
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Exponential networks for linear partitions by Sibasish Banerjee, Mauricio Romo, Raphael Senghaas, Johannes Walcher

“…In this note, we exhibit an explicit correspondence between torus fixed points of the Hilbert scheme of points on $\mathbb C^2\subset\mathbb C^3$ and anomaly free exponential networks attached to the quadratically framed pair of pants. …”
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Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix by Fengjuan Zhu, Qiufu Li, Yongdong Huang

“…Secondly, based on polyphase form of symbol functions of scaling function and wavelet function, two sufficient conditions and an explicit constructed method are given. Finally, the decomposition algorithm, reconstruction algorithm, and numerical examples are designed.…”
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Learning Rates for -Regularized Kernel Classifiers by Hongzhi Tong, Di-Rong Chen, Fenghong Yang

“…Our main purpose is to provide an explicit convergence rate for the excess misclassification error of the produced classifiers. …”
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Improving forest ecosystem functions by optimizing tree species spatial arrangement by Rémy Beugnon, Georg Albert, Georg Hähn, Wentao Yu, Sylvia Haider, Stephan Hättenschwiler, Andréa Davrinche, Benjamin Rosenbaum, Benoit Gauzens, Nico Eisenhauer

“…Therefore, we suggest the explicit consideration of spatial arrangements when planting trees for reforestation and afforestation projects.…”
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