Effect of Posterior Corneal Surgically Induced Astigmatism on Toric Intraocular Lens Power Calculations by Stewart S, Yeo TK, Moutari S, McNeely RN, Moore JE

“…However, accounting for posterior keratometric SIA in the Barrett Toric formula does not improve refractive astigmatism prediction accuracy.Keywords: cataract, posterior corneal astigmatism, Toric IOL power calculations…”
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Projective test of a treason psychological construct by Ildar M. Yusupov

“…The test reliability by Spearman-Brown formula was +0.76 and validity by criterion was +0.72. …”
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Influence of Eccentricity Errors on Load Sharing Performance of the Split Torque and the Power Confluence Gear Transmission System by Zhang Duoli, Zhou Jianxing, Wang Haiwei, Cui Quanwei, Dong Ning, Fei Xiang

“…></graphic></alternatives></inline-formula> method. The load sharing coefficient of each branch was calculated, and the variation of dynamic load sharing coefficients with or without eccentricity error was compared. …”
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A Stochastic Dynamic Model of Computer Viruses by Chunming Zhang, Yun Zhao, Yingjiang Wu, Shuwen Deng

“…Specifically, we prove the existence and uniqueness of positive solutions, and the stability of the virus-free equilibrium and viral equilibrium by constructing Lyapunov functions and applying Ito's formula. Some numerical simulations are finally given to illustrate our main results.…”
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A Discrete Method Based on the CE-SE Formulation for the Fractional Advection-Dispersion Equation by Silvia Jerez, Ivan Dzib

“…The fractional derivative is defined by the Riemann-Liouville formula. We prove that the CE-SE approximation is conditionally stable under mild requirements. …”
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Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control by Xuan Zhou, Kui Luo

“…At the end of this writing, a numerical simulation is given to demonstrate the effectiveness of those theoretical results.…”
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Improved LEACH protocol algorithm for WSN based on energy balance and high efficiency by Li-xiao HUANG, Hui WANG, Li-yong YUAN, Ling-guo ZENG

“…The improved energy-saving algorithm for the energy efficient and balanced protocol (LEACH-improved) was proposed.In the algorithm,the residual energy factor,the distance factor and the node density factor was added to improve the threshold formula.Moreover,in the various application scenarios of WSN,based on the different effects on the selection of cluster heads caused by the residual energy and geographical location,the weighting factor was introduced.Results of simulation experiments show that the improved algorithm can effectively reduce the network energy consumption and prolong the network lifetime.…”
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Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function by Mengnan Chi, Wencai Zhao

“…Finally, numerical simulations are carried out to illustrate our main results.…”
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Threshold resummation for double-deeply virtual Compton scattering by J. Schoenleber

“…I derive a resummation formula for the (partonic) threshold logarithms in the flavor non-singlet case. …”
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The Larger Bound on the Domination Number of Fibonacci Cubes and Lucas Cubes by Shengzhang Ren

“…Using these results, the larger bound on the domination number γ of Γn and Λn is determined.…”
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Differentiation Theory over Infinite-Dimensional Banach Spaces by Claudio Asci

“…Moreover, we expose a differentiation theory for the functions defined over this space. The main result of our paper is a change of variables’ formula for the integration of the measurable real functions on RI,B(I). …”
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SCMA codebooks design for Rayleigh fading channel by Tuofeng LEI, Shuyan NI, Naiping CHENG, Xin SONG

“…According to the symbol error eate (SER) of the superimposed constellation, the near-optimal space code multiple access (SCMA) codebooks were explored under uplink and downlink Rayleigh fading channels, respectively.A near-optimal codebook design scheme was proposed based on the mathematical model between the superimposed constellation and the SER formula.And the proposed design procedures could be summarized as follows, design the factor graph matrix, match the best codeword pair, and find the optimal angle.Numerical results are provided to demonstrate that the proposed scheme can achieve near-optimal SER performance.…”
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Stochastic renormalization group and gradient flow by Andrea Carosso

“…Abstract A non-perturbative and continuous definition of RG transformations as stochastic processes is proposed, inspired by the observation that the functional RG equations for effective Boltzmann factors may be interpreted as Fokker-Planck equations. The result implies a new approach to Monte Carlo RG that is amenable to lattice simulation. …”
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A refinement of normal approximation to Poisson binomial by K. Neammanee

“…Our result is better than before and is of order 1/n in the case p1=p2=⋯=pn.…”
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Neimark-Sacker Bifurcation Analysis for a Discrete-Time System of Two Neurons by Changjin Xu

“…Finally, some numerical simulations for justifying the theoretical results are also provided.…”
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Transform coding of DCT coefficients in video encoder by WANG Zhong-yuan, HU Rui-min, TIAN Gang, LI Ming

“…The redundancy among discrete cosine transform（DCT） coefficients in video encoder was found very strong,a method for subband decomposition and transform coding was proposed.Each 8×8 DCT spectrum date of macroblock was regrouped to gather the same frequency bands.The Hadamard transform function was used and orthogonal integer Ha-damard transform formula was derived.Simulation results shows that the proposed approach reduces the spectrum redun-dancy and improves the compression efficiency further compared with conventional DCT coder,however the PSNR loss are almost invisible.This work is expected to contribute to the under drafted international video compression standard H.265.…”
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Influence of Material Compressibility on Displacement Solution for Structural Steel Plate Applications by Nelli Aleksandrova

“…Graphical representations of results show validity of each formula as compared with rigorous solution and other studies.…”
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Finite volume expectation values in the sine-Gordon model by Árpád Hegedűs

“…In the ultraviolet limit, we checked our results against Liouville 3-point functions, while in the infrared limit, we evaluated our formulas in the semi-classical limit and compared them up to 2-particle contributions against the semi-classical limit of the previously conjectured LeClair-Mussardo type formula. …”
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Research of the Braking Performance and Optimization Design of Heavy Duty Construction Vehicle Eddy Current Retarder by Ni Jinshang

“…Finally,the optimized model is validated through the experiment. The results show that the eddy current retarder of heavy duty construction vehicle after optimization design can improve the fluctuation of braking torque and braking time.…”
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Intersection-based geographical perception routing protocol in VANET by Yuqi YANG, Guoan ZHANG, Min WU

“…In order to solve the problem of the communication performance of degradation,which caused by multi-intersections in city environment and no sensitivity to individual node movements,an intersection-based geographical perception routing protocol in vehicular Ad Hoc network was proposed.The network gateways select road intersections to form the backbone of the route,ensuring a high probability of communication and meeting delay and bit error rate requirements.Mathematical formula of the average delay and the average number of hops were obtained on the basis of a two-way road model.Simulation results show that the transmission delay of IGPR is smaller,the number of hops of IGPR is less,and the communication performance of IGPR is better compared with the FRGR protocols and VRR protocols.…”
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