Correlations between Geometric Properties and Permeability of 2D Fracture Networks by Xiaolin Wang, Liyuan Yu, Hanqing Yang

“…This study established mathematical expressions to link permeability of 2D fracture networks to the geometric properties of fractured rock masses, including number density of fracture lines, total length of fractures per square meter, and fractal dimensions of fracture network structures and intersections. …”
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Prolonging the Lifetime of Wireless Sensor Networks Interconnected to Fixed Network Using Hierarchical Energy Tree Based Routing Algorithm by M. Kalpana, R. Dhanalakshmi, P. Parthiban

“…This research work proposes a mathematical model for the lifetime of wireless sensor networks (WSN). …”
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Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor by Ningning Yang, Shucan Cheng, Chaojun Wu, Rong Jia, Chongxin Liu

“…It is proved that the circuit based on the diode bridge cascaded with fractional-order inductor has volt-ampere characteristics of pinched hysteresis loop. Then the mathematical model of the fractional-order memristor chaotic circuit is obtained. …”
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Natural selection and evolution: evolving concepts by Andre J. van Wijnen, Eric Lewallen

“…Cogent arguments can be raised for the view that natural selection should be considered a biological law, consistent with quantitative mathematical equations that describe the fitness of individuals, as well as variations within and among populations. …”
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Extended properties of nonlinear power system models that are symmetrically configured in the narrow sense by Elior Segev, Vladimir Zhuk, Elinor Ginzburg-Ganz, Juri Belikov, Yoash Levron

“…We continue here to explore properties of SCNS circuits, and provide two crucial extensions: first we explore circuits that are not passive, such as generators and inverters, and second we extend the mathematical formulation to apply to circuits that have more then one frame of reference. …”
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A data-driven modeling method for secondary frequency regulation characteristic of thermal power units by LI Zhijun, SHA Qianli, YAN Xinrong, YAN Gangui, ZHU Lin, FANG Zheng, LI Junhui

“…Next， a second-order model represents the mathematical model of the units， with online adjustments to the model's damping coefficients to enhance adaptability to changes in regulation intensity. …”
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The Problem of Implementing the Systematic Synergetic Approach in Pedagogy by V. A. Ignatova

“…The main emphasis is on the adaptation of synergetic ideas, as a new cognitive model in educational content, and application of its mathematical apparatus to studying and managing the educational process. …”
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THE INFLUENCE OF CHEMICAL COMPOSITION ON THE CORROSION RATE OF HIGH-CHROMIUM CAST IRON by V. V. Netrebko, I. P. Volchok

“…After decreasing the chromium content in these areas below 12% the corrosion processes activated. Using the mathematical experimental design techniques the regression dependence between the corrosion rate of the cast irons and content of C, Cr, Mn and Ni in them was established. …”
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A Quantified Description of the Coupling between the Reaching Direction and Elbow Axis Direction by M. M. Stanišić, C. M. Goehler, M. Tomšič

“…The human body continues to be an inspiration for the work of a myriad of different fields, both scientific and mathematic. In particular, robotics draws upon the motions and relationships of different human systems in order to reproduce similar mobility while performing different tasks. …”
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AHP-based geospatial analysis for landslide susceptibility zonation in Wayanad District by Irshad Tharayil, T Harikrishnan, Bose Mahalingam, Kurniati Titi

“…The final landslide susceptibility zonation map was validated using appropriate mathematical treatment to check their correctness with the help of landslide inventory points.…”
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Three-level voltage control algorithm in distributed electrical networks with solar photovoltaic systems by V. P. Kuzmenko

“…The study employs methods of mathematical averaging of time series and optimization based on the analysis of real data. …”
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On the Rotor Stator Interaction Effects of Low Specific Speed Francis Turbines by Einar Agnalt, Igor Iliev, Bjørn W. Solemslie, Ole G. Dahlhaug

“…The measured pressure is fitted to a mathematical pressure model to separate the two effects for two different runners. …”
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Research on Arch Model and Numerical Simulation of Critical Water and Sand Inrush in Coal Mine near Unconsolidated Layers by Guibin Zhang, Wenquan Zhang, Hailong Wang, Siwen Cao, Yuliang Wu, Zaiyong Wang

“…The paper also proposed and established three critical arching mechanics models (interlocking arch, bonded arch, and transition arch), deduced the mathematical expression of interlocking arch and transition arch, and obtained the critical instability conditions of the arch and its influencing factors. …”
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Logarithmic sensitivity ratio elucidates thermal transport physics in multivariate thermoreflectance experiments by Jing Tu, Md Azimul Haque, Derya Baran, Wee-Liat Ong

“…We mathematically derived a sensitivity-based method that identifies the thermal transport physics and parameters suitable for multivariate nonlinear fits in a frequency-domain thermoreflectance (FDTR) experiment. …”
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Spinor Quintom Cosmology with Intrinsic Spin by Emre Dil

“…After constructing the mathematical formalism of the model, we obtain the spin contributed total energy-momentum tensor giving the energy density and the pressure of the quintom model, and then we find the equation of state parameter, Hubble parameter, deceleration parameter, state finder parameter, and some distance parameter in terms of the spinor potential. …”
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The Experience of Using «Virtual Petrolab» – Virtual Petrophysical laboratory for Mobile Devices in the Educational Process by E. V. Shelyago, N. D. Shelyago

“…The program “Virtual PetroLab” simulates functions of various petrophysical equipment in the lab, possesses built-in methodological instructions on performing laboratory works. The mathematical model of the application allows the student to conduct measuring tasks, make, accumulate and correct his own errors. …”
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Copernicus and Copernicans: Galileo, Kepler, Bruno by Ünsal Çimen

“…He adopted Hermetic philosophy and opposed Copernicus’s mathematical (geometric) method; he also claimed, unlike Copernicus, that the universe was infinite and that there were intelligent life forms on other planets. …”
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Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes by Lina Zhang, Yong Wang, Kai Wu, Ruoyu Sheng

“…Furthermore, the unique properties of these vibration modes are mathematically proved. Results show that the vibration modes of the two-stage helical planetary gears can be categorized as five classes: the rigid body mode, the axial translational-rotational mode, the radical translational mode, and the 1st-stage and the 2nd-stage planet mode.…”
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Hyponormal Toeplitz Operators on the Dirichlet Spaces by Puyu Cui, Yufeng Lu

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The role of educational institutions in transformations to achieve sustainable development by Olha Kurylo, Olena Kryvylova, Viktoriia Zhyhir, Valentyna Peregudova, Yuliia Bielova-Oleynik, Serhii Onyshchenko, Olena Revutska

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