Experimental Study of Multiple Physical Parameters Monitoring during Uniaxial Loading Process of Sandstone by Yongchuan Zhao, Tianhong Yang, Wenhao Shi

“…Because of the top and bottom constraints, the horizontal displacement field shows axis symmetrical distribution of double half-ellipse like a drum. During the yielding phase and the rupture moment, the average temperature rises obviously because of the heat from the friction of the rupture surface, and the temperature field also appears the phenomenon of differentiation; in the meantime, a large amount of AE events occur and the proportion of high energy events increases; further, the deformation field is significantly gathered near the ruptured position. …”
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Spatiotemporal patterns of commercial activities in Exarchia-Neapoli area by Ioanna Chatzikonstantinou, Stavroula Katsiampoura

“…After the collection and categorization of data, spatial analysis was carried out using geostatistical indicators such as mean center and standard deviational ellipse and spatial patterns were determined through nearest neighbor analysis. ?…”
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High-Precision Heading Determination Based on the Sun for Mars Rover by Yinhu Zhan, Shaojie Chen, Donghan He

“…The sun sensor and inclinometer alignment model are then described in detail to maintain a high-precision horizon datum, and a strict sun image centroid-extraction algorithm combining subpixel edge detection with circle or ellipse fitting is presented. A prototype comprising a sun sensor, electronic inclinometer, and chip-scale atomic clock is developed for testing the algorithms, models, and methods presented in this paper. …”
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THIN-WALLED FOUR-POINT CONTACT BALL BEARING CONTACT FINITE ELEMENT ANALYSIS by WU Li, YAO TingQiang, WANG LiHua, LIU XiaoBao

“…Research shows that: for the calculation of the contact characteristics and the size of mesh generation approximate to 50 percent of the semi minor axis of the contact ellipse can get more precise results,for thin walled four point contact ball bearings,ball and the inner and outer rolling contact should force,the equivalent force and contact deformation and radial load is nonlinear ascending relationship,contact force and load distribution of the calculated results with the Hertz contact theory should be calculated values are in good agreement. …”
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New Cubic Trigonometric Bezier-Like Functions with Shape Parameter: Curvature and Its Spiral Segment by Abdul Majeed, Muhammad Abbas, Amna Abdul Sittar, Mohsin Kamran, Saba Tahseen, Homan Emadifar

“…The proposed CT-Bézier curve can be used to represent ellipse. Using proposed basis functions, we have constructed the spiral segment which is very useful to construct fair curves and desirable to design trajectories of mobile robots, highway, and railway routes’ designing.…”
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Experimental Study on the Deterioration Rules of Anchoring Performance of Rock Mass under Different Joints Distribution by Wantao Ding, Minglei Hou, Lei Chen, Keqi Liu, Rui Chen, Yang Wang, Mingbin Wang

“…The results showed that the pitting corrosion is the main form of the anchor bar corrosion of an anchoring rock mass with different joints, and the shape of the etch pit is reverse semi-ellipse. With the increase of pitting ratio, the ultimate bond strength and the corresponding slide distance decrease gradually. …”
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Mémoire et Denkraum. Réflexions épistémologiques sur la Kulturwissenschaftliche Bibliothek Warburg by Maud Hagelstein

“…Véritable laboratoire pratique où le savoir était mis à l’épreuve, la salle de lecture en ellipse de la bibliothèque constituait comme une « arène » où les chercheurs mettaient à profit les livres et leur agencement si particulier.…”
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Influence of Geometry and Boundary Conditions in Area of Cohesion between Materials on the Reflection of an Ultrasonic Beam. Part 1. Theoretical research by A. R. Bayev, A. L. Mayorov, N. V. Levkovich, D. V. Shavlovskiy, M. V. Asadchaya

“…The purpose of the paper is to determine in 3D space the conditions for increasing the sensitivity and reliability of the flaw detection in the cohesion zone between materials when the form of defect interface can be different.In the first part of the theoretical study the features of the formation of the acoustic fields of ultrasonic waves scattered from solid's interface when spot of an acoustic beam crosses the boundary of the defective region in the shape of an ellipse or a long strip have been investigated. In this case, the boundary conditions in the defect area change discretely or linearly.It was suggested to use a phase shift between reflected waves from the defect and defect-free interfaces as the more informative parameter depending on the cohesion between materials. …”
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Analysis on the spatiotemporal pattern and driving force of the spatial deviation index of grain and economy in counties in China. by Jia Chen, Kuan Zhang

“…Based on panel data from 2000 to 2019 covering 2018 county-level units in China, this study comprehensively investigated the spatial distribution, spatial differences, dynamic evolution of distribution, and driving factors of China's county-level spatial deviation index of grain and economy (SDIGE) using methods such as the standard deviation ellipse method, the three-stage nested decomposition of Theil index, kernel density estimation, and geographically weighted regression (GWR) model. …”
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On the master plan conformance with urban reality: A comparative assessment by M. Jahanbani, E. Lashkari

“…This research evaluates the dissimilarities between the city’s reality and planned prospects.METHODS: To assess that, the Delphi technique was utilized to determine the criteria then Geographic Information System and quantitative models namely Mean Center, Standard Deviational Ellipse, and Planning Implementation Rate were employed.FINDINGS: The outcomes reveal that Mashhad’s direction of urban development corresponds to the master plan. …”
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Research on the Contact and Temperature Field Distribution Characteristic of the Saddle-shaped Buckling Deformation in Hydro-viscous Friction Pair by Yuyu Jiang, Hongwei Cui, Yijun Qiao, Hao Sun, Jingwei Ning

“…The contact area develops from the bending ellipse symmetrically distributed on both sides of the friction pair to full coverage and shows that the stress decreases from the contact center to the surrounding in an elliptical gradient. …”
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Effect of a Balance Adjustment System on Postural Control in Patients with Chronic Ankle Instability by Kazushi Yoshida, Rieko Kuramochi, Junji Shinohara

“…The test was performed for 30 sec, and the total trajectory length and 95% ellipse area were calculated. In the assessment of dynamic postural stability, Y-Balance tests-anterior, posteromedial, and posterolateral directions were measured on the CAI limb for all participants and normalized to the individual's leg length. …”
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Numerical and Experimental Investigations on Dynamic Response of Hydraulic Cylinder with 3D Spatial Joints considering Radial and Axial Clearances by Ke Chen, Guojun Zhang, Haishuo Wang, Rui Wu, Hongmei Zheng, Shunhua Chen

“…The novelty of this study is that potential contact points between the bearing wall and journal were calculated when the bearing wall circle was projected to an ellipse owing to misalignment of axes. Moreover, the simulation model considered the effective bulk modulus of the hydraulic oil and applied the Lagrange multiplier method. …”
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Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection by Mohd Aslam, Mohd Danish Siddiqi, Aliya Naaz Siddiqui

“…Wintgen obtained a basic relationship between the extrinsic normal curvature the intrinsic Gauss curvature, and squared mean curvature of any surface in a Euclidean 4-space with the equality holding if and only if the curvature ellipse is a circle. In 1999, P. J. De Smet, F. Dillen, L. …”
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Instability Mechanism of Cavity-Bearing Formation under Tunnel Excavation Disturbance by Tao Liu, Haotong Wang, Xiuting Su, Kexian Li, Shiqun Liu, Fengsong Guo

“…The cavity will gradually change from a regular circle to an ellipse or may even close, resulting in a sudden increase in land subsidence or even ground collapse. …”
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Experimental Investigation of Innovative Internal Trailing Edge Cooling Configurations with Pentagonal Arrangement and Elliptic Pin Fin by L. Tarchi, B. Facchini, S. Zecchi

“…So, a circular pin fin configuration with an innovative pentagonal scheme is compared to a standard staggered scheme, while two elliptic pin fin configurations are compared to each other turning the ellipse from the streamwise to the spanwise direction. …”
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Efficiency Measurement and Determinant Factors of Marine Economy in China: Based on the Belt and Road Perspective by Yinyin Wang, Conghua Xue, Huimin Li, Kaizhi Yu

“…Time series and standard deviation ellipse methods are used to analyze its temporal and spatial characteristics. …”
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Analysis of Spatial Distribution Pattern and Driving Factors of Nature Reserves in Xinjiang by Yue Yang, Zhaoping Yang, Fang Han

“…In this study, we focused on the nature reserves in Xinjiang and used kernel density and standard deviation ellipse analysis methods to examine data from 1980, 1990, 2000, 2010, and 2020 in order to reveal the dynamics of spatial distribution, clustering characteristics, and evolutionary patterns, providing a scientific basis for optimizing the spatial layout of nature reserves in Xinjiang. …”
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CPP: a path planning method taking into account obstacle shadow hiding by Ruixin Zhang, Qing Xu, Youneng Su, Ruoxu Chen, Kai Sun, Fengchang Li, Guo Zhang

“…Additionally, a deformed ellipse-based obstacle avoidance technique was introduced to enhance the vehicle’s ability to navigate around obstacles. …”
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Spatial-Temporal Evolution Characteristics and Countermeasures of Urban Innovation Space Distribution: An Empirical Study Based on Data of Nanjing High-Tech Enterprises by Shuang Tang, Jingxiang Zhang, Fangqu Niu

“…Taking Nanjing as an empirical area, the spatial-temporal evolution of urban innovation space distribution was studied through methods such as average nearest neighbor, standard deviational ellipse, kernel density estimation, and exploratory spatial data analysis based on the data of high-tech enterprises identified from 2008 to 2019. …”
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