Thermal Performance Analysis of Dry Unit of Hybrid Closed Cooling Tower by Ilnur Madyshev, Vitaly Kharkov, Marsel Vakhitov, Maxim Kuznetsov

“…Therefore, this study aimed to propose a hybrid closed cooling tower (CCT) with a fill unit composed of a finned pipe coil and inclined corrugated plates (ICP). A mathematical model of the hot water cooling process in the proposed cooler, operating in dry mode was developed using the number of heat transfer units (NTU). …”
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A Joint Sub-Channel and Power Allocation Algorithm in Co-Channel Heterogeneous Femtocell Network by Geng Chen, Wenjing Yao, Yinjing Guo, Weiwei Xia

“…Power control and handover mechanism could be used to suppress the co-channel cross-tier and intra-tier interference achieved by the power allocation for MU and joint sub-channel and power allocation for FU. Mathematically, the cross-tier handover was formulated as optimizing the network throughput under the constraints of each tier target outage probability and the interference-aware resource allocation was formulated as optimizing the sum rate of FU subject to the constraints of the target data rate of handover MU and interference thresholds to other MU and FU. …”
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SYSTEM ANALYSIS OF THE FOUR-PRONG LEGGED ACCELEROMETER BASED ON TRAPEZOIDAL VARIABLE CROSS-SECTION BEAM by LU KunLei, SUN JiangHong, YI YuanLin, DU HongChen

“…The trapezoidal variable cross-section beam rigidity-size relation was deduced with a bending mathematical model. The size requirements were raised by strength. …”
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Influence of Regulating Pool on Bend Flow by LUO Fengjie, WU Yufeng, WEN Yunping, WANG Xumin, LI Xin

“…In view of the influence of regulating pool on the bend flow, based on experimental research, and combined with mathematical statistics and numerical simulation methods, this paper studies the influence of regulating pool on the hydraulic characteristics such as flow pattern and super-elevation by introducing the evaluation index of flow pattern improvement effect and analyzing typical working conditions. …”
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De-noising method of pulse signal based on double-tree complex wavelet transform and morphological filtering by Dan LI, Huiqian WANG, Tong BAI, Jinzhao LIN, Yu PANG, Xiaoming JIANG, Yuhao JIANG

“…With the advantage of simple construction, clear mathematical implications and low computational complexity, this method overcame the shift sensitive and the frequency aliasing in the discrete wavelet transform. …”
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Research of Variable Speed Characteristic of Transmission Mechanism of Rod-Gear Type Pulsation CVT by Chen Suifan, Dong Zhifeng

“…Based on the analysis of transmission mechanism of rod-gear type Pulse Continuously Variable Transmission（ P-CVT）,the closed vector equations of equivalent plane six-bar mechanism is built,and the kinematic mathematical model of angular displacement,angular velocity and angular acceleration of connecting rod,rocker and meshing point to input shaft axis of single phase transmission mechanism is constructed by the matrix method. …”
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Spectrum-efficiency and energy-efficiency functions of green cellular networks by Jin-kang ZHU, Li XU

“…To provide a research and design standard for green cellular networks with the presence of multi-cell interference and handover cases,the network transmission capacity (network spectral efficiency) and energy efficiency functions of the cellular network was researched,and the relationship between the power consumption and the spectrum efficiency in the cellular networks was revealed.First,the energy efficiency function of the cellular networks was defined.Based on this,the cell interference depth and the handoff dynamic model of cellular networks were proposed,and then the network spectrum-efficiency of the cellular networks was analyzed in the presence of multi-cell interference and handoff,and its mathematical expression was derived.Finally,the energy-efficiency function of the cellular networks and its numerical results were deducted and discussed.These results will provide a useful theoretical basis for green design of cellular networks.…”
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Precision Imaging of Frequency Stepped SAR with Frequency Domain Extracted HRRP and Fast Factorized Back Projection Algorithm by Can-bin Yin, Da Ran

“…Novel frequency domain extracted method (FDEM) to obtain high range resolution profile (HRRP) for frequency stepped synthetic aperture radar (SAR) is proposed in this paper, and the mathematical principle and formulas of this new HRRP obtaining idea combined with classical fast Fourier transform (FFT), chirp z transform (CZT), and single point Fourier transform (SPFT) are deduced, analyzed, and compared in detail. …”
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Study on Thermal Power Loss and Transmission Efficiency of Gas Turbine Gearbox by Yuan Guangqian, Hu Yunbo, Li Jinku, Xia Liangyu

“…Based on the meshing parameters of gears， the mathematical expression of thermal power loss in gear meshing is deduced. …”
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Solubility data of deferiprone in propylene glycol and 1-propanol mixtures at 293.2–323.2 K by Homa Rezaei, Elaheh Rahimpour, Abolghasem Jouyban

“…Dependence of solubility on composition and temperature were evaluated by fitting the experimental data to the double log-log, Jouyban-Acree-van't Hoff, modified Wilson and Jouyban-Acree equations, which showed that the latter equation represented the best mathematical description. Additionally, functions including the apparent standard dissolution Gibbs energy (ΔG°), standard dissolution enthalpy (ΔH°) and standard dissolution entropy change (ΔS°) were determined in order to provide basic knowledge on thermodynamics of deferiprone’ crystallization and industrial separation.…”
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EFFICIENCY OF TRAMP FLEET OPERATING UNDER THE CONTRACTS OF AFFREIGHTMENT by Yuliia KOSKINA, Svitlana ONYSHENKO, Oleksii DROZHZHYN, Oleksii MELNYK

“…This paper presents the mathematical model, based on the fleet and volumes of carriages under a set of contracts of affreightment during the due time. …”
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Study on a New Type of Lelord Triangle Pump by Chen Wenjie, Zou Min, Zhu Hailin, Wang Zhiyang

“…Besides,the pump combined with the characteristics of gear pump and propeller. The mathematical model of lelord triangle is established. …”
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Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors by Bocheng Bao, Aihuang Hu, Han Bao, Quan Xu, Mo Chen, Huagan Wu

“…The proposed memristive HR neuron model has no equilibrium point but can show hidden dynamical behaviors of coexisting asymmetric attractors, which has not been reported in the previous references for the HR neuron model. Mathematical model based numerical simulations for hidden coexisting asymmetric attractors are performed by bifurcation analyses, phase portraits, attraction basins, and dynamical maps, which just demonstrate the occurrence of complex dynamical behaviors of electrical activities in neuron with electromagnetic induction. …”
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Medical Pattern Recognition: Applying an Improved Intuitionistic Fuzzy Cross-Entropy Approach by Kuo-Chen Hung

“…The proposed entropy measure is based on intuitionistic fuzzy sets, extrainformation regarding hesitation degree, and an intuitive and mathematical connection between the notions of entropy in terms of fuzziness and intuitionism has been revealed. …”
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Three-Dimensional Shock Spectrum of Critical Component for Nonlinear Packaging System by Jun Wang, Zhi-Wei Wang, Li-Xin Lu, Yong Zhu, Yong-Guang Wang

“…Three key coordinate parameters, such as the nondimensional pulse duration, the frequency parameter ratio and the ratio of the maximum response acceleration to the peak pulse acceleration, were governed in a novel dynamical mathematical model. It is shown that the shock response of critical component is weakened owning to the decrease in the defined system parameter. …”
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Efficient evaluation of member cardinality in cluster-based vehicular cyber-physical systems by Jin Qian, Tao Jing, Yan Huo, Hui Li, Zhen Li

“…Finally, we analyze the proposed method considering the unreliability of the channel state. The mathematical analysis and simulation results demonstrate the performance of the proposed method.…”
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Evaluation of the effectiveness of the Bank of Russia’s measures to ensure the stability of the stock market in the face of toughening sanctions by A. V. Berdyshev, F. N. Ilmukov

“…Using the suitable mathematical apparatus, with the help of modern tools the authors evaluate the effectiveness of those measures. …”
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Modeling and Simulation in Engineering Modeling of the Electrocoagulation Processes in Nonisothermal Conditions by Andrii Safonyk, Olena Prysiazhniuk

“…The influence of current strength on the concentration of the target component at the exit from the reactor was investigated using the developed mathematical model. In addition, our findings also show the effect of the rate of heat formation from the electrodes on the efficiency of obtaining of coagulant.…”
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Exploring the performance of ChatGPT for numerical solution of ordinary differential equations by Saso Koceski, Natasa Koceska, Limonka Koceva Lazarova, Marija Miteva, Biljana Zlatanovska

“…The methodology which is developed in order to conduct this research takes into account the following mathematical abilities (defined according to National Centre for Education Statistics): Conceptual Understanding, Procedural Knowledge, Problem Solving, and Application in Real-world Contexts.  …”
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Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics by Xinhua Zheng, Lili Xie, Lizhuo Liu

“…Stability of pneumatic cabin pressure regulating system with complex nonlinear characteristics is considered. The mathematical model of each component is obtained and given in detail. …”
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