FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION by K. S. Kurachka

“…The discrepancy between the results of the mathematical model and those of analytical formulas for homogeneous thin circularsandwich plates does not exceed 7%.…”
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Synergistic Therapeutic Effects and Immunoregulatory Mechanism of Maxing Shigan Decoction Combined with Sijunzi Decoction on Viral Pneumonia in Mice by Huimin Huang, Huanhua Yang, Zurong Zhang, Yunlong Song, Li Li, Ke Li, Junjie Zhang, Xiaoyu Qi, Ying Wu

“…Influenza is defined in traditional Chinese medicine (TCM) as an epidemic febrile illness and is usually treated with herbal compound formulas under the guidance of the “Qu Xie and Fu Zheng” theories. …”
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Study on Fluid Front Motion of Water, Nitrogen, and CO2 during Anisotropic Flow in Shale Reservoirs by Xiangxiang Zhang, Kai Gu, Chengyu Liu, Yangbing Cao, J. G. Wang, Feng Gao

“…The theoretical equations for predicting the fluid front motion of different types of fluids were established by introducing corresponding correction coefficients to the previous formulas. The results showed that the model can well describe the anisotropic fluid permeation process. …”
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Fundamental Investigation on Seismic Retrofitting Method of Aging Concrete Structural Wall Using Carbon Fiber Sheet-Constitutive Law of Rectangular Section by Kazuhiro Hayashi, Tomoya Matsui, Taiki Saito, Roy Reyna

“…Furthermore, authors proposed evaluation formulas for the constitutive law of concrete elements with rectangular cross sections including the longitudinal ratio which exceeds 2 reinforced by carbon fiber sheets and confirmed that the formulas can reproduce the test results with good accuracy.…”
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Success Run Waiting Times and Fuss-Catalan Numbers by S. J. Dilworth, S. R. Mane

“…We show that the series coefficients are Fuss-Catalan numbers and write the roots in terms of the generating function of the Fuss-Catalan numbers. Our main result is a new exact expression for the distribution, which is more concise than previously published formulas. …”
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The Cores for Fuzzy Games Represented by the Concave Integral by Jinhui Pang, Shujin Li

“…The nonempty fuzzy core is given in terms of the fuzzy convexity. Our results develop some known fuzzy cooperative games.…”
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On expansions for nonlinear systems Error estimates and convergence issues by Beauchard, Karine, Le Borgne, Jérémy, Marbach, Frédéric

“…Explicit formulas expressing the solution to non-autonomous differential equations are of great importance in many application domains such as control theory or numerical operator splitting. …”
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Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions ^† by Feng Qi

“…The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and their normalized remainders, explores connections among central factorial numbers, the Stirling numbers, and specific matrix inverses, and derives several closed-form formulas and inequalities. …”
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Verification of Some Topological Indices of Y-Junction Based Nanostructures by M-Polynomials by Muhammad Azeem, Muhammad Kamran Jamil, Aisha Javed, Ali Ahmad

“…For the generic view of Y-shaped junctions, we developed some vertex-degree-based M-polynomials formulas. On Y-shaped junctions, we discussed some topological index-based concepts as well and verified the results available in the literature.…”
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Early Loading of Cast-in-Situ Reinforced Concrete Structures by A. H. Baiburin

“…Instructions are given on the design of early loading technology. The results of full-scale tests of floors under conditions of early loading are given. …”
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Study on the Meshing Force and Meshing Rigidity of Cylinder Sine Oscillation Tooth Transmission by Zeng Yunyun, Yuan Xinmei, Zhou Sizhu

“…Based on the hypothesis of stretch small distortion and distortion congruity,the model and algorithm of meshing force analysis under theoretical conditions are given.According to the Hertz theory and geometric relation of meshing pair,the meshing rigidity models of the meshing pair are established,and the calculation formulas of the meshing rigidity and the principal curvature of the contact point are deduced.The presented methods is illustrated through an example,and the distributing characteristic of meshing forces,sum of principal curvature and meshing rigidity of this type of transmission device is acquired.The acquired result can be adopted as the analytical base for structure design,vibration analysis.…”
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Thermal Analysis of Si/GaAs Bonding Wafers and Mitigation Strategies of the Bonding Stresses by Yuanying Qiu, Xun Qiu, Xianghu Guo, Dian Wang, Lijie Sun

“…Suhir’s bimaterial thermal stress theory, the thermal stresses in the wafer bonding interfaces are analyzed and the thermal stress distribution formulas are obtained. Then, the thermal stress distribution curves of Si/GaAs bonding interfaces are investigated by finite element method (FEM) and are compared with the results from E. …”
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On Entropy Measures and Eccentricity-Based Descriptors of Polyamidoamine (PAMAM) Dendrimers by Zhi-Hao Hui, Asfand Fahad, Muhammad Imran Qureshi, Rida Irfan, Aneesa Shireen, Zahid Iqbal, Rahma Alyusufi

“…Furthermore, we apply graphical tools to demonstrate the trends of the values in the obtained results.…”
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Solving geocryology problems based on generalized Fourier theory for temperature waves in half-space by Anatoliy M. Afanasyev, Yulia S. Bakhracheva

“…Results. According to the results obtained, the temperature field is represented by a superposition of two damped harmonic waves, which have the same frequency, but different attenuation coefficients and phase velocities. …”
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A Study on Internal Explosion Testing of the “Rigid-Flexible-Rigid” Three-Layer Sealed Structure by Y. L. Xue, D. G. Tang, Z. Z. Li, L. Z. Shao, Z. Liao, W. X. Chen, R. L. Zhen

“…The comparisons between the test results and the computed results obtained from the formulae were made, and the test results agreed well with the computed results. …”
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Systematic review of the application of the Kidney Failure Risk Equation and Oxford classification in estimating prognosis in IgA Nephropathy by M. P. Toal, R. Fergie, M. P. Quinn, C. J. Hill, C. O’Neill, A. P. Maxwell

“…Eligible outcomes were reduction of estimated glomerular filtration rate (eGFR) or end-stage renal disease (ESRD), and prognostic tools were required to assess the accuracy of these formulae by discrimination and/or calibration. …”
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THE IMPACT OF NORMALIZATION PROCEDURES ON THE CLASSIFICATION OF BUILDING MATERIALS COMPANIES LISTED ON THE WARSAW STOCK EXCHANGE

“…The conducted study shows that the use of different normalization formulas of variables can cause the change of the results of the companies classification, which does not result neither from the data structure change nor the effectiveness modification of their operations.…”
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STRUCTURAL DYNAMIC DESIGN AND TEST VALIDATION OF VIBRATION TEST FIXTURES by SUN Ye, LU HaiTao, ZHANG HaiYing, FAN ZheLiang

“…The structure of a complicated fixture is usually designed improperly using common methods,which are usually based on experience and formulas. Modal analysis of the fixture was performed based on the 3D finite element model,thus its natural frequencies and vibration modes were obtained to optimize the design. …”
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Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces by Xunxiang Guo

“…The operator parameterizations of g-frames and decompositions of bounded operators are the key tools to prove our main results.…”
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Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect by Xinhong Pan, Min Zhao, Chuanjun Dai, Yapei Wang

“…Furthermore, our main results are illustrated using numerical simulations.…”
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