Enhanced bed shear stress and mixing in the tidal wake of an offshore wind turbine monopile by M. J. Austin, C. A. Unsworth, K. J. J. Van Landeghem, B. J. Lincoln

“…The wake is hypothesised to enhance seabed stress and water column turbulence mixing, thereby affecting seabed mobility, water column stratification and the transport of nutrients and oxygen and resulting in ecological impacts. We collect novel hydrodynamic data 40 <span class="inline-formula">m</span> from an OWF monopile over a spring–neap cycle and use high-frequency velocity measurements to quantify turbulence. …”
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Semiclassical quantization of circular billiard in homogeneous magnetic field: Berry-Tabor approach by Gergely Palla, Gábor Vattay, József Cserti

“…The formula derived for the semiclassical density of states surprisingly coincides with the results of Creagh-Littlejohn theory despite the presence of canonically noninvariant terms.…”
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Unconventional twinning assisted by pyramidal II stacking faults by Yang Hu, Dennis M. Kochmann

“…The commonly observed [Formula: see text] tension twins have been traditionally linked to 〈c + a〉 dislocation dissociation, which results in zonal dislocations with large Burgers vectors several times that of a single twinning dislocation and some residual dislocations. …”
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Calculation of Accurate Meshing Backlash for Cycloidal-pin Wheel Drive in RV Reducer by Yang Jingzhao, Deng Xiaozhong, Li Tianxing, Wang Changlu, Wang Guofeng, Xing Chunrong

“…But there are some differences between the theoretical result and the actual value because the formula method did not consider the change of node position in the process of drive. …”
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Research of the Robot Arm Gravity Compensation based on the Genetic Algorithm for Optimization of Neural Network by Yang Yuan, Cao Tong, Liu Da

“…By adopting a genetic algorithm for optimization of neural network,the gravity compensation for robot arm is researched.Firstly,through the basic knowledge of mechanics and D-H parameter to set up robot kinematics model,the theoretical computation formula of the gravity item of each joint torque in robot arm is got.Secondly,in the Solid Works simulation software,the simulation value of the gravity item in some certain pose got,thus the correctness of the theoretical computation formula is verified.Finally,the predicted value of the gravity item by genetic algorithm for optimization of neural network is obtained.Experimental results show that the predicted value of gravity items of robot arm learnt with this method is basically conforming with the theoretical value.Consequently,the work load of calculation for the gravity items of robot arm is effectively reduced.Furthermore,this method provide a possible way for the real-time control.…”
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Effect of Material Changes on the Total Harmonic Distortions Caused by Aluminum Electrolytic Capacitors by Rene Kalbitz

“…The study includes selected capacitors with a capacitance of <inline-formula> <tex-math notation="LaTeX">$470~\mu \text{F}$ </tex-math></inline-formula> that are commercially available from eiSos W&#x00FC;rth Elektronik, as well as custom-made capacitors that are manufactured at the production site. …”
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Fatigue Failure Analysis and Life Prediction of Elliptical Flexible Hinge by Jianjun Wu, Yian Jia, Jihui Luo

“…For the flexible hinge of compliant mechanism under the action of alternating symmetrical cyclic load, the stress concentration in the weakest area of the flexible hinge is easy to cause, resulting in the fatigue failure of the flexure hinge，taking the elliptical flexible hinges in compliant mechanisms as the research object, based on the theory of pure bending in material mechanics, the calculation formula of maximum concentrated stress at the notch of an elliptical flexure hinge is derived. …”
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Identification of the boundary regime in the process of water-oil displacement from the reservoir by Gamzaev Khanlar

“…The difference approximation method was used to construct a difference analogue of the problem, implicit with respect to RP and explicit with respect to DPS. As a result, an explicit formula was obtained for determining the approximate RP value at the outlet boundary of the reservoir at a given time layer. …”
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Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions by Kang Zhou, Chang Hu

“…We also conjecture a compact general formula for tree YM amplitudes with higher mass dimension, which allows us to generate them from ordinary YM amplitudes, and discuss the consistent factorizations of the conjectured formula.…”
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Fermat point based connectivity restoration strategy in networks by Zhaobin ZHOU, Hongyan ZHANG, Xiaoding WANG

“…The connectivity restoration ensures the availability and reliability of a network.Both of geometrical features and topological structures should be taken into consideration at the same time,without which previous works can hardly restore the connectivity with the least number of relay nodes.The Fermat point,the triangulation and the minimum spanning tree are integrated with the design of an efficient restoration strategy.The theoretical analysis indicate that the approximation ratio of the proposed strategy is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>3</mn><msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <mn>4</mn><mo>−</mo><msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac></math></inline-formula>and the complexity of which is O(n log n).Simulation results show that the proposed strategy outperforms other strategies in the number of relay nodes required.…”
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Simple Matrix Equation (SME) Method for Pattern Synthesis of Conformal Antenna Array with Arbitrary Architecture by Jie Chen

“…First, a new pattern function formula for general conformal antenna array is derived. …”
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Finite Element Calculation and Its Test Study of Flexible Pin Structure in the 3.X MW Wind Turbine Gearbox by Jinku Li, Wei Liu, Liangrong Li

“…The comparison results show that， the mean load factor of FE result is well matched to the practical situation， and this flexible pin has a perfect mean load performance.…”
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Distinct effects of fine and coarse aerosols on microphysical processes of shallow-precipitation systems in summer over southern China by F. Chen, F. Chen, Y. Yang, L. Yu, Y. Li, W. Liu, Y. Liu, Y. Liu, S. Lolli

“…In contrast, during fine-aerosol-polluted conditions, shallow-precipitation clouds develop a deeper median STH of <span class="inline-formula">∼3.7</span> km with lower surface RR characterized by a low concentration of small raindrops, resulting from increased breakup processes (33.1 %) and reduced collision–coalescence processes (69.6 %). …”
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Study on Temperature Field Massive Concrete in Early Age Based on Temperature Influence Factor by Min Zhang, Xianhua Yao, Junfeng Guan, Lielie Li

“…The results show that the theoretical results are in agreement with the measured temperature data, and the accuracy and applicability of the theoretical formula are proved.…”
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Multi-Class Guided GAN for Remote-Sensing Image Synthesis Based on Semantic Labels by Zhenye Niu, Yuxia Li, Yushu Gong, Bowei Zhang, Yuan He, Jinglin Zhang, Mengyu Tian, Lei He

“…Additionally, we employ perceptual loss (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>L</mi></mrow><mrow><mi>V</mi><mi>G</mi><mi>G</mi></mrow></msub></mrow></semantics></math></inline-formula>) to assess perceptual similarity between generated and real images, and texture matching loss (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>L</mi></mrow><mrow><mi>T</mi></mrow></msub></mrow></semantics></math></inline-formula>) to capture fine texture details. …”
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Analysis and Experimental Study on Bearing Capacity of “All-Inclusive” Underpinning Joint by Kefeng Yue, Lei Yan

“…Finally, combining the theoretical and experimental results, a simplified calculation formula for the bearing capacity of the “all-inclusive” underpinning joint is improved. …”
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Influence of ground control point reliability and distribution on UAV photogrammetric 3D mapping accuracy by Haonan Zhong, Yansong Duan, Pengjie Tao, Zuxun Zhang

“…It was also found that: when GCP reliability is high (RMSE within 0.1 m; density more than 10 GCP/[Formula: see text]), GCP number should prioritize over distribution, ie. accuracy improving as the number of GCPs increases; when GCP reliability is moderated (RMSE within 5 m; density around 5–10 GCP/[Formula: see text]), each of the uniform and distributed-edge distributions leads in different conditions; when GCP reliability is low (RMSE beyond 5 m; density less than 5 GCP/[Formula: see text]) it is favorable to use a distributed-edge and center distribution. …”
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The change of the domain wall shape under the ion beam irradiation in lithium niobate by Elena Pashnina, Alla Slautina, Andrey Akhmatkhanov, Maria Chuvakova, Vladimir Shur

“…The dot irradiation of Z[Formula: see text] areas near the walls of lamellar domains leads to the formation of faceted or rounded hexagonal domains. …”
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Hydration Heat of Nonshrinkage Concrete in Large-Diameter CFST Arch Ribs Cured at Low Temperatures by Tuo Shi, Nianchun Deng, Dong Pan, Shi Wang

“…The formula results were shown to be consistent with the experimental results for low-temperature conditions and large diameters. …”
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Optimization of Churning Resistance of Hypoid Gear for Automobile Rear Axle by Yunxiao Shen, Jinli Xu, Jiwei Zhu, Wenchao Yang

“…Through Fluent simulation， the churning resistance before and after improvement rear axle hypoid gear is analyzed， and compared with the empirical formula， and verified by experiments. The results show that， results of simulation analysis and test are in good agreement， the empirical formula is in good agreement with the simulation result， but less than the experimental value， the proper structural improvement and addition of oil baffle can significantly reduce the rear axle churning resistance， as the speed increases， the resistance reduction value increases， the maximum drag reduction can reach 35.9%.…”
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