Some New Transformation Properties of the Nielsen Generalized Polylogarithm by Nina Shang, Qinghua Feng, Huizeng Qin

“…In particular, the last three transformation formulas are new results so far in the literature. …”
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A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method by Khaled Moaddy, Mohammed AL-Smadi, Ishak Hashim

“…We implement a relatively new analytic iterative technique to get approximate solutions of differential algebraic equations system based on generalized Taylor series formula. The solution methodology is based on generating the residual power series expansion solution in the form of a rapidly convergent series with easily computable components. …”
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Effect of Mechanism Error on Input Torque of Scroll Compressor by Man Zhao, Shurong Yu, Chao Li, Yang Yu

“…The calculation results show that the mechanism size error will cause large fluctuation in input torque at the drive rod and connecting rod collinear and the fluctuation extreme value increases with rotational speed. …”
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Karyomorphology and Chromosome Number of Four Groups of Gyrinops versteegii (Gilg.) Domke. in Lombok by Widya Iswantari, Tri Mulyaningsih, Aida Muspiah

“…Therefore, the karyotype formula of the four groups of G. versteegii was 2n = 18m. …”
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Numerical Study of Hall Thruster Plume and Sputtering Erosion by Li Yan, Ping-Yang Wang, Yang-Hua Ou, Xiao-Lu Kang

“…For low-energy heavy-ion sputtering in Hall thruster plume, the Matsunami formula for the normal incidence sputtering yield and the Yamamura angular dependence of sputtering yield are used. …”
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SIMULATION OF FATIGUE CRACK INITIATION LIFE OF TC4 TITANIUM ALLOY BASED ON ITS MESOSCOPIC PROPERTIES by JIANG Ze, XU XiWu, GUO ShuXiang, WU Bin, QI Yan

“…The results show that the crack initiation forms of the model are different under different load levels. …”
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Synthesis and Characterization of Lanthanide(III) Nitrate Complexes with Terdentate ONO Donor Hydrazone Derived from 2-Benzimidazolyl Mercaptoaceto Hydrazide and o-Hydroxy Aromatic... by Vinayak M. Naik, Nirmalkumar B. Mallur

“…The antimicrobial activity studies have been under taken and results are discussed.…”
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RESEARCH ON SIZE EFFECT OF COMBINED ROTOR CONSIDERING MICROCRACK by ZHU ZhuoPing, WANG AiLun, SHAO ShiCong, LIU XiangJun

“…And taking the prototype,2. 3-fold scale model and 1. 3-fold scale-up model of a heavy duty gas turbine combined rotor as the research objects,the combined rotor natural frequency drift were analyzed in the case of initial microcracks varying with combined rotor size. The results show that there is comparatively large deviation when using the ordinary Paris formula to analyze the natural frequency drift of the different size combined rotors caused by microcrack expansion. …”
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Capacitance and Conductance Compensation Methods for Efficient Computing‐In‐Memory Designs by Yubiao Luo, Fei Qiao, Zhong Sun

“…It enables efficient CIM designs by intentionally letting the sum of capacitances or conductances of two or more rows or columns in the memory array equal, thus resulting in a concise mathematical formula regarding the memory cell data and the input data, which constitute computing primitives. …”
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Maintaining Specific Natural Frequency of Damped System despite Mass Modification by Rui Zhu, Qingguo Fei, Dong Jiang, Zhifu Cao

“…The methods based on the Sherman-Morrison formula are proposed in this paper, called the optimal selection method and the absolute value method, to maintain the specific natural frequency. …”
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Modelling and Simulation on Penetration into Stone Concrete by He Huang, Duo Zhang, Lirong Cheng

“…Firstly, the plastic damage model is used to analyze the penetration of concrete target, and the reliability of the numerical model is verified by comparing with the classical experimental results. Besides, the numerical model of stone concrete is established based on 3D Voronoi diagram according to the random characteristics of the shape and spatial distribution of stones in concrete. …”
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Different types of backward bifurcations due to density-dependent treatments by Baojun Song, Wen Du, Jie Lou

“…Finally, the modeling results are applied to the transmission of gonorrhea in China, suggesting that these gonorrhea patients may not seek medical treatments in a timely manner.…”
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CORRECTION OPTIMIZATION ON DAMAGE CONSTITUTIVE MODEL BASED ON D-P CRITERION by ZHAO Pan, WU KaiSong, WU Bo, XI QinYang

“…Currently,the damage constitutive model based on D-P（Drucker-Prager） criterion of rock has occupied dominant position in the field of damage constitutive model of rock.its advantages have become increasingly prominent.This paper mainly analyzes the results of the experimental data based on Drucker-Prager Criterion and finds some fatal errors.Poisson’ratio is key factor in it.Poisson’ratio of rock is variable value from the experimental observation.Since the Poisson’s ratio is used in the full damage constitutive model,We propose a new conception of"quasi-poisson’ratio",derived the formula of quasiPoisson’s ratio and introduce it to the constitutive model of rock based on Drucker-Prager Criterion in order to revise it.The new modified model is a new breakthrough for numerical analysis and software application.We believe the conception of "QuasiPoisson’Ratio"will lead to many aspects of the improvements in rock mechanics and has long-term meanings.…”
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Analysis of Elastohydronamic Lubrication of the Roller Enveloping End Face Engagement Worm Drive by Xiaolong Wang

“…Based on calculation formula of approximate film thickness and film thickness ratio in every lubrication condition area， the simulation is conducted using Matlab software， and the time-domain distribution of lubrication condition， minimum film thickness and film thickness ratio are analyzed， it can be concluded as that this transmission pair has better lubrication performance. …”
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Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation by Zhengwen Yin, Yuanshun Tan

“…The results indicated that high-intensity noise perturbation can inhibit the spread of the disease, and the dynamic behavior of the disease transitioned from persistence to extinction as noise intensity increased. …”
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STUDY ON THE EFFECT OF RESIDUAL STRESS FIELD ON THE CRACK GROWTH RATE OF CIVIL WELDED PLATE by CHEN YangLiu, SONG Xin, BAI ChengZheng, SHENG HongWei, ZHANG JiaZhen

“…In order to reduce the cost of fatigue crack growth test and shorten the research period of welding process on new aircraft siding structure,this paper uses Abaqus finite element software to simulate welding residual stress field by using predefined temperature field method.The stress intensity factor values of crack tip are obtained by finite element simulation.Based on the structural characteristics of large welded plate,the Pairs formula was used to predict the crack propagation rate of welded plate.Based on this model,the fatigue crack growth rate of specimens with different stress ratio and welding process was studied.It is found that the effective stress ratio increases with the residual stress,but the effect decreases with the increase of the stress ratio.The trend of the effective stress ratio is similar to that of the residual stress distribution.The welding residual stress increases the crack growth rate of the welded structure.The feasibility of the proposed method is verified by comparison with the experimental results.…”
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Mesurer le niveau de stress d’enfants à leur domicile (Marseille) : Mise au point méthodologique by Valérie Niel-Bernard, Hélène Pagezy, Pierre Darlu

“…However, while pediatricians tend to use body surface (calculated from Gehan and George’s formulas), seldom applying the exact formula related to age, anthropobiogists mostly prefer to use BMI. …”
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Effect of Corn Starch and Glycerol Additions on the Characteristics of Capsule Shells from Seaweed Carrageenan by Aisha Ramadita, Hermawan Dwi Ariyanto

“…Weight uniformity, specifications, disintegration, and FTIR were analysed to determine the best quality of the capsule shell. The results showed that formula with concentration of 95% of distilled water, 2% w/v of carrageenan, 2% w/v of corn starch and 3% w/v of glycerol fit the standard of capsule shell.…”
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Analysis of Stiffness Characteristic of Five-degree-of-freedom Hammer Riveting Robot based on Spiral Theory by Chunying Jiang, Xiangchen Liu, Changlong Ye, Huan Zhou, Xu Guan

“…In view of the characteristics of the 5-DOF hammer riveting robot， combining Lie group Lie algebra and spiral theory， its kinematics model is established and solved； use the exponential product formula to derive the Jacobian matrix of the robot，and use the stiffness mapping theory to solve the stiffness matrix of the robot； the finite element and Matlab simulation software are used to simulate and verify the end deformation under the general pose and the extreme pose，and the stiffness distribution map of the robot in the task space varying with the change of pose is given；the simulation result is compared with the theoretical calculation value and the error is not more than 10%，which verify the correctness and effectiveness of the established stiffness model and provide important reference for optimization of subsequent work path.…”
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Fano factor estimation by Kamil Rajdl, Petr Lansky

“…Namely, the effect of refractory period is analytically evaluated.Next, we create an approximate asymptotic formula for the mean squareerror of the estimator, which can also be used to find minimum of theerror in estimation from single spike trains. …”
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