External barycentric coordinates for arbitrary polygons and an approximate method for calculating them by Ivan S. Polyansky

“…The basis of this solution is the decomposition of the kernel of the Fredholm integral equation of the second kind by Legendre polynomials of the first and second kind, formed using the Heine formula. Results. The convergence rate of the obtained approximate analytical calculation of the external barycentric coordinates is estimated when establishing exponential convergence in Hilbert space and polynomial convergence in the space of continuous functions. …”
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Analysis of the relationship of regional deprivation indices with environmental sustainability (Case study: villages of Poldokhtar Township) by Mehrshad Toulabi Nejad, jaad Bazrafshan, sirous ghanbari

“…In the context of environmental sustainability factors, the results show that none of the factors is in stable condition. …”
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Force analysis of slope reinforced by Frame-Anchor-Support-Structure based on improved horizontal slice method. by Guang-Wen Fang, Fei Guo, An-Ping Huang

“…The improved horizontal slice method for the slope reinforced by the FASS is also proposed, and the force calculation formula for the slope reinforced by FASS is derived. …”
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CALCULATION OF MESHING STIFFNESS FOR MARINE HELICAL GEAR PAIR UNDER TOOTH BREAKS FAULT DUE TO OVERLOADING by JIANG ShiJie, HE ZeYin, SUN ShiZheng

“…Existing research mainly focused on characteristics of gear pair meshing stiffness based on given angle and number of broken teeth, the results of which showed a large deviation from the meshing stiffness in the actual form of broken teeth. …”
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Joint Optimization of RCC Gravity Dam on Complex Foundation Considering Seismic Dynamic Response by LI Jinyou, HU Jiang, GU Zhenhua

“…To explore the influence of transverse seam cutting of a high RCC gravity dam on the seismic performance of the dam body,this paper takes the RCC gravity dam project of Mahl Hydropower Station in Pakistan with high seismic intensity and sand-mudstone interbedded foundation as the research object.Through the establishment of three-dimensional integral finite element model,the self-compiled viscoelastic dynamic boundary program is introduced.The dynamic response and difference of the dam body under the design earthquake and maximum credible earthquake (MCE) conditions are calculated respectively when the code wave,site wave,and Koyna wave are input.Based on the ratio defined by the design formula of bearing capacity limit state,the seismic safety state of the RCC gravity dam is comprehensively evaluated by simulating the three comparison schemes of 1/3 height,2/3 height,and full joint cutting of transverse seam.The results show that when the code wave is input,under the action of MCE,the resistance effect ratio coefficient η of the dam foundation surface under the 1/3 and 2/3 height schemes of transverse seam cutting is greater than 1.Under the full joint scheme,η_min=0.91,and the values of η are less than 1 for a total of 6 times within 0.6 s.After comprehensive consideration,the 2/3 height of transverse seam cutting can be used as the construction recommendation scheme.The research results can provide a reference for the optimal layout of the RCC gravity dam project in the conditions of high seismic intensity and complex geology.…”
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Identification Method for Flexure and Shear Behavior of Cantilever Structures by F. Garcés, C. Genatios, P. García, A. Mebarki, M. Lafuente

“…The method estimates coefficients whenever flexural (EI) or shear (GA) values are relevant or irrelevant. An initial formula includes both shear and flexural components. …”
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The Accessibility and Acceptability of Health Services in Remote Rural Areas by Mutiara Ramadhani, Sukri Palutturi, Amran Razak, Muhammad Yusran Amir, M. Tahir Abdullah

“…Sampling, using the Slovin formula, resulted in 287 respondents. Data were collected using a questionnaire. …”
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Experimental Investigation on Nonlinear Flow Anisotropy Behavior in Fracture Media by Chun Zhu, Xiaoding Xu, Xiuting Wang, Feng Xiong, Zhigang Tao, Yun Lin, Jing Chen

“…Both the proposed model and Chen’s double-parameter model gave similar results to the experiment, but the match was closer with the proposed model. …”
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Factors Affecting Online Communication Due to Social Networks on Loyalty of Tourism Services Customers (Case Study: District 22 of Tehran) by Rasha Makoundi, Hossein Safarzadeh, Hassan Esmailpour, Mansoureh Aligholi

“…The sample size was estimated 384 people using Cochran's formula. In this study, SPSS and Amos software were used to analyze the data. …”
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Investigating the effect of Sense of place to the place and quality of green spaces in urban branding (Case study: Tabriz metropolis) by Nazli pakru, Dariush Sattarzadeh, Lida Bolillan, Mir Saeed Mousavi

“…The results showed that the Sense of place and quality of urban green spaces has a positive and significant effect on urban branding. …”
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A novel sea surface evaporation scheme assessed by the thermal rotating shallow water model by Masoud Rostami, Stefan Petri, Bijan Fallah, Farahnaz Fazel‐Rastgar

“…It is shown that the normalized Clausius–Clapeyron formula requires an adjustable scaling factor for real‐world applications, calibrated using empirical fitness curves. …”
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analysis the effective factors on the formation of women\'s ideal territory in urban parks (Case study: El Goli, shams , valiasr of Tabriz) by sara ghahri lalaklou, rasool darskhan, mahsa faramarzi asli, morteza mirgholami, samad sabbagh dehkharghani

“…The study is field and library based.the statistical population includes women with different cultures ages behaviors in ealgoli park,women's shams park,valiasr park of Tabriz that the woman were randomly selected.the sample size is 384 and it based on the Cochran formula. At first at the descriptive level were investigated with subject statistics indicators and then at the inferential level used of exploratory factor analysis to determine the model.the results include 5 influential components.these components are landscape-functional-security-morphology-psychological.…”
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Dynamic Forces of Swaying Human and Responses of Temporary Demountable Grandstand Based on Experiment and Simulation by Lin He, Jian Yuan, Feng Fan, Cong Liu

“…The constraint parameters of swaying force model which derives from a semiempirical formula are developed and can be represented for crowd. …”
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The Effect of Geometrical Parameters on Resonance Characteristics of Acoustic Metamaterials with Negative Effective Modulus by Xiao-Le Yan, Li-Mei Hao, Mei-Ling Men, Zhi Chen

“…Firstly, we analyze the resonance characteristics of SHS and get an analytical formula for the effect of geometrical parameters on the resonance frequency. …”
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Investigating the Effects of Leader Credibility on Employee Communication Satisfaction by Effective Communication by Abbas Ghaedamini Harouni, Reza Ebrahimzadeh Dastjerdi, Morteza Torabi

“…Purpose: This study aims to determine the effects of leadership ability on employee communication satisfaction through effective communication.Methodology: The sample size of 661 people was selected using Cochran's formula. The sample people were selected using a random sampling method and strata appropriate to the size of each selected class. …”
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Synthesis, Characterization, and Thermal Decomposition Kinetics of Manganese Complex of Methionine Hydroxy Analogue by Mei-Ling Wang, Zhi-Xian Wu, Qing Zang, Guo-Qing Zhong

“…The composition and structure of the complex were characterized by elemental analyses, infrared spectra, and X-ray powder diffraction. The formula of the complex was Mn(C5H9O3S)2. The experimental results indicated that the manganese ion was, respectively, coordinated by the carboxylic and hydroxyl oxygen atoms from the methionine hydroxy analogue ligand. …”
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Gradient method for designing cascaded DOEs and its application in the problem of classifying handwritten digits by D.V. Soshnikov, L.L. Doskolovich, E.V. Byzov

“…The obtained results may find application in the development of diffractive neural networks and optical systems for laser beam focusing.…”
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Study on Microclimate Characteristics and Vertical Variation of Potential Evapotranspiration of the Robinia pseudoacacia Forest in the Loess Plateau of China by Jianjun Zhang, Baoni Guo, Qun’ou Jiang, Hao Ru, Zhen Wang

“…The results indicate that the air temperature, relative humidity, wind speed, and potential evapotranspiration at different heights above the ground surface showed similar changing trends, but with some variation during different periods. …”
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Optimization of sago starch and sodium alginate crosslink, including calcium chloride as a capsule alternative using the simplex lattice design by Sabtanti Harimurti, Putri Nur Amalia, Dyani Primasari Sukamdi, Hari Widada, Sri Nabawiyati Nurul Makiyah, Tri Wulandari Kesetyaningsih, Muhammad Thesa Ghozali, Hari Susanti

“…The Simplex Lattice Design (SLD) was employed to determine the optimal capsule characteristics. Results: Formula F2 showed optimal characteristics with 8.165% weight uniformity deviation, 49.607% water swelling, and a destruction time of 9 minutes, 25 seconds. …”
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Uncovering the Impact of Financial Anxiety on Emotional Exhaustion and Financial Performance of MSMEs and the Role of Islamic Financial Literacy: Implementation of the Third Sustai... by Lestari Sri, Laksmi Indyastuti Devani, Pradipta Setyanto Refius

“…The results show that financial anxiety is positively related to emotional Exhaustion and negatively associated with SME financial performance. …”
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