Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers by Valentina A. Matveeva, Olga Yu. Zaslavskaya

“…The study of the problem is considered using the example of the mathematics section “Number Theory”. The asymmetric RSA encryption system is chosen as the observed model. …”
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Survivability evaluation of network information system based on the cloud model and analytic hierarchy process by Yan-hua LIU, Guo-long CHEN, Rui-fen WU

“…Finally, the experimental results show that the proposed method achieves a satisfactory result in quantitative evaluation of complex qualitative indexes, and has certain advantages in terms of accu-racy and fuzzy computing.…”
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Canonical correlation analysis of big data based on cloud model by Jing YANG, Wen-ping LI, Jian-pei ZHANG

“…The complexity of traditional CCA methods is too high meet the requirements to analyze big data due to their huge scale which is reaching the level of peta-byte.A novel approach to CCA was proposed to mine the big data by introducing the cloud model which is a brand-nowel theory about the uncertainty artificial intelligence.A distributed ar-chitecture based on cloud computing was established.All of the clouds distributing on the nodes of the distributed archi-tecture were combined to a center cloud via cloud operation (whe cloud is a synopsis of data and which is a concept coming from the cloud theory).A type of virtual sample of data called cloud drops created based on the center cloud.Fi-nally the computing of CCA was imposed on the cloud drops.The CCA was impose on the cloud drops with less volume,which improves the efficiency.Experimental results on real data sets indicate the effectiveness of this method.…”
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Free vibration analysis of aluminum foam metal sandwich panels: a comparative study between numerical and analytical modelling by Zahra Hamdan, Sadeq Bakhy, Muhsin Jweeg

“…A mathematical model based on classical plate theory (CPT) was developed to compute the natural frequencies of supported rectangular sandwich plates. …”
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Multi-key fully homomorphic encryption scheme based on NTRU bootstrapping by ZHENG Junhua, JIANG Hongwei, LIU Rong, LI Yixiu, LI Wen, WENG Jian

“…The proposed scheme was compared with the existing mainstream multi-key fully homomorphic encryption scheme in theory. The results show that the proposed scheme has better computational efficiency. …”
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Irreducible representation of surface distributions and Piola transformation of external loads sustainable by third gradient continua by dell’Isola, Francesco, Fedele, Roberto

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Driving brain state transitions via Adaptive Local Energy Control Model by Rong Yao, Langhua Shi, Yan Niu, HaiFang Li, Xing Fan, Bin Wang

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On Modeling Agent Behavior Change Through Multi-Typed Information Diffusion in Online Social Networks by Masaaki Miyashita, Norihiko Shinomiya, Daisuke Kasamatsu, Genya Ishigaki

“…Therefore, this study introduces a computational model that combines subjective logic to represent opinion changes of individuals using multi-typed information and cumulative prospect theory to simulate individuals’ decision-making. …”
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Physical-layer security transmission method based on spatial modulation with finite alphabet inputs by Bo CUI, Lu LIU, Xiang-yu LI, Liang JIN

“…Addressing the problem of wireless physical layer security transmission for finite alphabet input systems,a spatial modulation secure transmission method is proposed.On the basis of information theory,the method utilizes the receive antenna indices of multiple-input multiple-output (MIMO) system to bear information,and randomizes the eavesdropper’s equivalent channel by switching the receive antennas,which can guarantee physical layer security transmission.First,the different receiving performances of the legitimate user and eavesdropper are analyzed in the spatial modulation secure transmission system.Second,the mutual information and secrecy mutual information of the transmission system are calculated,and two sufficient conditions that ensure positive secrecy mutual information are pointed out.Finally,an estimation algorithm of mutual information is provided.Moreover,the symmetry of finite alphabet set is exploited to decrease the computational complexity.Theoretical analysis and numerical simulation results verify the availability of the security transmission method.…”
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The algebraic extended atom-type graph-based model for precise ligand–receptor binding affinity prediction by Farjana Tasnim Mukta, Md Masud Rana, Avery Meyer, Sally Ellingson, Duc D. Nguyen

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CFD for turbulence: from fundamentals to geophysics and astrophysics by Cambon, Claude, Alvarez Laguna, Alejandro, Zhou, Ye

“…In this paper, we review the role of CFD in the study of turbulence through both direct numerical simulations and the resolution of statistical multi-scale theories. With a historical perspective, we will discuss the evolution of the numerical modeling of turbulence from the first numerical experiments as proposed by Orszag and Patterson [1] to complex geophysical and plasma simulations where body forces such as Coriolis, the buoyancy force, or the Lorentz force can introduce strong anisotropies. …”
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Minor Prime Factorization for n-D Polynomial Matrices over Arbitrary Coefficient Field by Jinwang Liu, Dongmei Li, Licui Zheng

“…Two tractable criterions are presented for the existence of minor prime factorization, which can be realized by programming and complexity computations. On the theory and application, we shall obtain some new and interesting results, giving some constructive computational methods for carrying out the minor prime factorization.…”
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Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance by Man Yang, Qiang Zhang, Ke Xu, Ming Chen

“…An adaptive predefined-time controller is designed by introducing the finite-time differentiator which is used to decrease the computational complexity problem appeared in the traditional backstepping control. …”
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On Topological Analysis of Niobium (II) Oxide Network via Curve Fitting and Entropy Measures by Muhammad Kamran Siddiqui, Sana Javed, Sadia Khalid, Mazhar Hussain, Muhammad Shahbaz, Samuel Asefa Fufa

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The Effect of Platform Data Quality on Tax Compliance in Digital Economy: A Multiagent Based Simulation by Peng Jin, Zhangwei Feng, Guiping Li

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A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters by Rugao Gao, Keping Zhou, Yun Lin

“…The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications due to its good performance in both computational efficiency and accuracy. But in gPCEM, a nonlinear transformation of random variables should always be used to adapt the generalized Polynomial Chaos theory for the analysis of random problems with complicated probability distributions, which may introduce nonlinearity in the procedure of random uncertainty propagation as well as leading to approximation errors on the probability distribution function (PDF) of random variables. …”
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Solutions to All-Colors Problem on Graph Cellular Automata by Xiaoyan Zhang, Chao Wang

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Dynamical Variety of Shapes in Financial Multifractality by Stanisław Drożdż, Rafał Kowalski, Paweł Oświȩcimka, Rafał Rak, Robert Gȩbarowski

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Stability Analysis of the Bat Algorithm Described as a Stochastic Discrete-Time State-Space System by Janusz Piotr Paplinski

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Bifurcation Analysis of a Discrete Basener–Ross Population Model: Exploring Multiple Scenarios by A. A. Elsadany, A. M. Yousef, S. A. Ghazwani, A. S. Zaki

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