Discussion on Reciprocity, Unitary Matrix, and Lossless Multiple Beam Forming Networks by Nelson Jorge G. Fonseca

“…In this paper, array antennas fed by multiple beam forming networks are discussed, highlighting the possibility to have different values of internal losses in the beam forming network depending on the operation mode. In particular, a mathematical condition is derived for the specific case of a multiple beam forming network with lossless transmitting mode and lossy receiving mode, such a behavior being fully consistent with the reciprocity theorem. …”
Get full text

Effect of the Boron Powder on Surface AISI W2 Steel: Experiments and Modelling by Marco Antonio Doñu Ruiz, David Sánchez Huitron, Ernesto David Garcia Bustos, Víctor Jorge Cortés Suárez, Noé López Perrusquia

“…The presence of boride was confirmed by optical microscopy, X-ray diffraction, and the distribution of alloy elements in boride layers with energy-dispersive spectrometry using scanning electron microscopy. A mathematical model of the growth kinetics of the single layer was proposed and boron diffusion coefficient was determined by mass balance equation. …”
Get full text

Laminar Motion of the Incompressible Fluids in Self-Acting Thrust Bearings with Spiral Grooves by Cornel Velescu, Nicolae Calin Popa

“…The purpose of the study is to find some mathematical relations useful to approach the theoretical functionality of these bearings having magnetic controllable fluids as incompressible fluids, in the presence of a controllable magnetic field. …”
Get full text

Modeling Wettability Variation during Long-Term Water Flooding by Renyi Cao, Changwei Sun, Y. Zee Ma

“…This paper summarizes the mechanism of wettability variation and characterizes the adsorption of polar substance during long-term water flooding from injecting water or aquifer and relates the residual oil saturation and relative permeability to the polar substance adsorbed on clay and pore volumes of flooding water. A mathematical model is presented to simulate the long-term water flooding and the model is validated with experimental results. …”
Get full text

Biomechanical Stress and Strain Analysis of Mandibular Human Region from Computed Tomography to Custom Implant Development by Rafael Ferreira Gregolin, Cecília Amelia de Carvalho Zavaglia, Ruís Camargo Tokimatsu, João A. Pereira

“…In addition to creating biomodels by computed tomography it is also possible, using this process, to create mathematical models to perform computer simulations and analyses of regions of interest. …”
Get full text

Event Forecasting in Organizational Networks: A Discrete Dynamical System Approach by Piotr Śliwa

“…Therefore, the objective of this study was (1) to fill the theoretical gap by proposing a mathematical model for organizational network event forecasting, rooted in the social science to remain consistent with the theory, and (2) to experimentally evaluate how the model performs on real data and validate if the results support its use in practical applications. …”
Get full text

Advances and Challenges in Thermoacoustic Network Modeling for Hydrogen and Ammonia Combustors by Seungmin Guk, Jaehoon Lee, Juwon Kim, Minwoo Lee

“…We outline the key mathematical frameworks derived from fundamental equations of motion, along with experimental validations and practical applications documented in existing studies. …”
Get full text

Optimal Hidden Node Area for Enhancing Routing Protocol Performance in IEEE 802.11 Multihop MANETs by Emeka Egbogah, Liqi Shi, Abraham Fapojuwo

“…Unlike descriptions from the literature, we describe the hidden node area in terms of multiple layers and the different levels of interference contributed by each layer. We then develop mathematical expressions to determine the probability of successful delivery and end-to-end delay of a packet transmitted over multiple hops to a receiver node exposed to hidden nodes, as a function of hop distance. …”
Get full text

Distributed Algorithm for Real-Time Energy Optimal Routing Based on Dual Decomposition of Linear Programming by Jiří Trdlička, Zdeněk Hanzálek

“…Thanks to the exact mathematical derivation, the algorithm computes the energy optimal real-time routing. …”
Get full text

Small-Signal Stability Analysis for Large-Scale Power Electronics- Based Power Systems by Liang Qiao, Yaosuo Xue, Le Kong, Fei Wang, Nupur

“…The general concept, the detailed mathematical derivation, and the applications of the proposed method to a 6-converter system and a modified 140-bus NPCC system are presented. …”
Get full text

Geometric design of two novel rotor profiles for Roots vacuum pumps with elliptical curve by Zhengqing Li, Xiaojun Wang, Xianhu Han, Yuhong Cai

“…This study proposes two novel elliptical rotor profiles: one designed with an elliptical curve at the top and the other with an elliptical curve at the waist. Mathematical models of the new rotor profiles were established, and profile equations were derived on a geometric method. …”
Get full text

Regulation Mechanism of Spatial Capacity of Tourist Resources in Scenic Spots Based on Internet of Things Technology by Xiaona Xie, Wenliang Zhang

“…This paper first calculates the spatial capacity of various tourism resources in a scenic spot by using mathematical model and then studies the intelligent spatial management model of tourist flow in the scenic spot based on the Internet of Things technology. …”
Get full text

Routing and scheduling optimization for urban air mobility fleet management using quantum annealing by Renichiro Haba, Takuya Mano, Ryosuke Ueda, Genichiro Ebe, Kohei Takeda, Masayoshi Terabe, Masayuki Ohzeki

“…In this study, we propose a routing and scheduling framework to address the needs of a large fleet of UAM vehicles operating in urban areas. Using mathematical optimization techniques, we plan efficient and deconflicted routes for a fleet of vehicles. …”
Get full text

Modeling of Nitrate Leaching during the Fall–Winter Season in Artificially Drained Soils by Alaa El-Sadek

“…In this study, the transport and fate of nitrate within the soil profile were analyzed by comparing field data with the simulation results of a mathematical model. The objective was to study the transport and fate of nitrate within the soil profile and nitrate leaching to shallow groundwater for the fall-winter season, by applying the methodology in Elverdinge experiment, situated in the sandy loam region in Belgium, from October 1, 2000 to March 31, 2001. …”
Get full text

Competitive Relief Supply Chain under the Uncertain Conditions by Amirabbass Boroumand, Majid Nojavan, Davood Mohammaditabar, Reza Ghaemi

“…Accordingly, in this research, a mathematical model with a leader-follower approach for relief delivery in the crisis response phase was designed, which took into account the policies of the country of Iran for the distribution of relief items. …”
Get full text

The dynamics and longevity of circulating CD4+ memory T cells depend on cell age and not the chronological age of the host. by M Elise Bullock, Thea Hogan, Cayman Williams, Sinead Morris, Maria Nowicka, Minahil Sharjeel, Christiaan van Dorp, Andrew J Yates, Benedict Seddon

“…Here, we address these issues by combining DNA labelling methods, established fate-mapping systems, a novel reporter mouse strain, and mathematical models. Together, these allow us to quantify the dynamics of both young and established circulating memory CD4 T cell subsets, within both young and old mice. …”
Get full text

Fixed-Time Sliding Mode Control for Robotic Manipulators Based on Disturbance Observer by Tianli Li, Gang Zhang, Tan Zhang, Jing Pan

“…A novel controller using fixed-time sliding mode (FTSM) and fixed-time disturbance observer (FTDO) is proposed to achieve trajectory tracking control of robotic manipulators. First, the mathematical model is established for robots with dynamic model uncertainties and external disturbances. …”
Get full text

Features of emotional burnout during the pandemic of nurses with different professional experience by V. V. Kozyreva

“…Yusupova, Spielberger-Khanin anxiety scale based on the results of mathematical analysis using the Mann-Whitney U-test, the relationship between the professional experience of nurses and the severity of the burnout syndrome is considered. …”
Get full text

Constitution is not identity: On equivalence relations in translation of performance and translation for performance by Sarah Maitland

“…Using performance as a concretising lens, or “system of meaning” (Pavis, 1992) that takes on significance only in the coming together of the relationships united in production and reception (p. 25), and through the application of theories of mathematical equivalence relations, this article questions what the controversy tells us about what translation of performance ‘is’ and ‘should’ be, and suggests what lessons might be learned with regard to the notion of equivalence in translation. …”
Get full text

RECONSTRUCTION OF MECHANISMS REGULATING THE EXPRESSION OF THE ESCHERICHIA COLI YFIA GENE UNDER STRESS CONDITIONS by T. M. Khlebodarova, D. Yu. Oshchepkov, N. V. Tikunova, I. V. Babkin, A. D. Gruzdev, V. A. Likhoshvai

“…The regulatory region of the Escherichia coli yfiA gene was reconstructed by using the SiteCon web resource and mathematical modeling, and its expression complexity under oxidative stress was assessed. …”
Get full text