Subsidence Prediction of Overburden Strata and Surface Based on the Voussoir Beam Structure Theory by Changchun He, Jialin Xu

“…The influence of the block length on the subsidence curve and the VBS level on the zero-subsidence range are then analyzed based on the subsidence formulae of the VBS. The results show the half-subsidence curve of the VBS is an S-shaped curve. …”
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Strategic Approaches to Define the Production Rate in Conceptual Projects of Critical Raw Materials by Lucas Zucchi Silva, Anna Luiza Marques Ayres da Silva

“…Copper projects did not show good adherence to the new formulae. Zinc and lead projects showed very good results, generating three formulae with good adherence numbers (above 70%), and they can be taken as a reference to calculate the production rate of new open-pit and underground mining projects. …”
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Experimental Investigations of Well Equipped with Annulus System of Reagent Flushing by V. V. Ivashechkin, P. A. Avtushko, D. A. Kolediuk

“…The well is equipped with an annulus circulation system of reagent flushing which consists of four supercharge wells. The obtained results agree with calculation formulae which describe joint operation of the wells. …”
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Determination of hydrodynamic forces acting on the body in an unsteady viscous flow using characteristics of the flow on the control surface by A.N. Nuriev, A.M. Kamalutdinov, O.N. Zaitseva

“…The structure of these formulas was analyzed, and, based on several problems, the values of their main terms were obtained. …”
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A Theoretical Analysis of Frequency Multipliers of the Step Recovery Diode in the Shunt-Mode of Operation by Wei Zonglu

“…Frequency multipliers of arbitrary nonlinear capacitor with an idler are generally considered, and explicit and useful formulae are given. In a detailed investigation of frequency multipliers of the SRD without idlers, we have derived the calculated formulae relating the efficiency and equivalent impedances of the multipliers with arbitrary transition time （t（?）） …”
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High-Accuracy PVT Relationships for Compressed Fluids and Their Application to BET-like Modelling of CO and CH Adsorption by Janina Milewska-Duda, Jan Tadeusz Duda

“…This paper presents a set of high-accuracy formulae enabling the evaluation of the compression factor, activity and cohesion energy of fluids at near-critical and super-critical temperatures, with reduced molar volumes ranging from 0.4. …”
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Optimal dimensions of steel welded beams with hinged support units by G. M. Bazhin

“…This ratio is denoted by the coefficient kopt, by means of which a methodology for selecting the optimal beam cross-section is proposed.Results. Formulas were derived which allow to select the optimal beam section quickly and with the least weight using the coefficient kopt and web flexibility. …”
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A mean of dependent normal variables maximum by Agnė Burauskaitė, Algimantas Aksomaitis

“…Also there are analogous formulas for a mean value of two and three dependent normal variables [1]. …”
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The formulation of sound transmission problems through the boundaries of three-dimensional media and through plates by A. V. Zakharov

“…The solution of these equations gives the correct formulas for the coefficients of reflection and refraction of waves in terms of vibrational velocity at any angles of their propagation.Results. …”
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Study of dynamic characteristics of impact of two solid deformable bodies at impact speed of up to 100 m/s by D. I. Chernyavsky, D. D. Chernyavsky

“…The target is made in the form of a rod from various types of steel, duralumin, aluminum and lead. As a result of digitizing the graphs of dependencies, interpolation formulas are obtained for different phases of the impact (the first phase of the impact is compression; the second phase of the impact is unloading). …”
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Minimal CR-submanifolds of a six-dimentional sphere by M. Hasan Shahid, S. I. Husain

“…We establish several formulas for a 3-dimensional CR-submanifold of a six-dimensional sphere and state some results obtained by making use of them.…”
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Initial Elastic Stiffness of Bolted Shear Connectors in Steel-Concrete Composite Structures by Chenggong Wang, Diankai Cao, Xiaoyang Liu, Yucai Jing, Wenzhuo Liu, Guotao Yang

“…The FEA results are in good agreement with the experimental results, illustrating the effectiveness of the empirical formulas.…”
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RELIABILITY ALLOCATION OF PLANETARY REDUCER BASED ON ADVANCED INTEGRATED FACTORS ALLOCATION METHOD (MT) by JIA ShuoGuo, YAN ChangFeng, ZHANG Ke, WEI YongQiao, AN ZongWen

“…By comparing the subsystem reliability allocation weights obtained by different methods, results show that the allocation result of the proposed method is more credible. …”
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Comparison of ocular biometry and refractive outcomes using two swept-source optical coherence tomography-based biometers. by Hansol Park, Young-Sik Yoo, Eunhae Shin, Won Seok Song, Yeokyoung Won, Tae-Young Chung, Dong Hui Lim

“…The postoperative prediction errors differed for all three formulas (p < 0.001). Anterion results leaned towards a slightly myopic outcome due to hyperopic target refraction. …”
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Interface Slip of the Steel Beam Strengthened with the CFRP Sheet under Temperature and Creep by Wenyu Hou, Yanfeng Li, Yongping Guan

“…This paper studied the interface slip between the CFRP sheet and the steel beam under the action of temperature and creep. The formulas of the interface slip were established by using the elastic method and energy variational method, respectively, and the accuracy of the formulas was verified by finite element analysis Abaqus. …”
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Abstract mechanical connection and abelian reconstruction for almost Kähler manifolds by Sergey Pekarsky, Jerrold E. Marsden

“…These ideas are illustrated using the example of the resonant three-wave interaction. Explicit formulas for the connection one-form and the phases are given together with some new results on the symmetry reduction of the Poisson structure.…”
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Forest decompositions of graphs with cyclomatic number 3 by E. J. Farrell

“…The simple tree polynomials of the basic graphs with cyclomatic number 3 are derived. From these results, explicit formulae for the number of decompositions of the graphs into forests with specified cardinalities are extracted. …”
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Forest decompositions of graphs with cyclomatic number 2 by E. J. Farrell

“…From these polynomials, results about forest decompositions are deduced. Explicit formulae are given for the number of decompositions of the basic graphs into forest with specified finite cardinalities.…”
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Effect of Optical Signal Beam Shift on the Performance of Satellite Chaos Laser Safety Communication System under Space-Integrated-Ground Information Network by Mi LI, Qiang CHEN, Cheng ZENG, Xue WANG, Yisi WANG, Xiangfei CHEN

“…The eff ect of beam center shift on the performance of satellite chaos laser safety communication system in spaceintegrated-ground information network was studied, the bit error rate (BER) formulae with external and internal mismatch caused by beam center shift was conducted.Based on the BER formulae, the eff ect of beam center shift on external and internal mismatch and system performance was analyzed.The results show that beam wander will further increase external and internal mismatch based on pointing error then aff ect system performance.When pointing error is relatively small, optimizing beam wander will improve system performance more, and when pointing error is relatively large, optimizing internal mismatch will improve system performance more.The research results of this paper have important reference signifi cance for the actual engineering design of satellite chaos laser safety communication system, and lay the foundation for the promotion of terrestrial high-speed chaos laser safety technology to the fi eld of space-integrated-ground.…”
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New approach to determining the economic efficiency of investments in mineral resources deposits development by V. M. Serov, Yu. P. Tikhonov

“…The author’s approach and specific formulas for assessing the economic efficiency of investment when implementing projects for mineral deposits development have been outlined and substantiated. …”
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