Improved ratio type generalized class of estimators in two phase adaptive cluster sampling by Rohan Mishra, Rajesh Singh

“…In this paper, an improved ratio type class of estimators in the two phase Adaptive Cluster Sampling (ACS) design under the transformed population approach has been proposed. The generalized expressions of Bias and Mean Squared Error (MSE) have been obtained up to the first order of approximation. …”
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Stiffness Calculation for Negative Moment Region of Steel-Concrete Composite Beams considering the Influence of Cracking and Interface Slip by Wenlong Cao, Jianqing Bu, Cunbao Zhao, Xueyan Wang, Liping Zhang, Jiren Zhang

“…To evaluate this decrease in the stiffness of SCCBs, a static differential equation is used to derive analytical expressions of interface slip and deflection. Based on the static load test results for SCCBs, the influence of concrete cracking and interface slip on the stiffness is analyzed. …”
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Vacuum amplitudes and time-like causal unitary in the loop-tree duality by The LTD collaboration, Selomit Ramírez-Uribe, Andrés E. Rentería-Olivo, David F. Rentería-Estrada, Jorge J. Martínez de Lejarza, Prasanna K. Dhani, Leandro Cieri, Roger J. Hernández-Pinto, German F. R. Sborlini, William J. Torres Bobadilla, Germán Rodrigo

“…The generation of loop- and tree-level contributions to the differential decay rates from a kernel multiloop vacuum amplitude is shown in detail, and explicit expressions are presented for selected processes that are suitable for a lightweight understanding of the method. …”
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Throughout Maximization for IRS-Assisted WPCN With Hybrid TDMA-NOMA Scheme by Yizheng Ma, Ruoyi Wu, Yi Zhang, Yupeng Shang, Linzhen Zhu

“…Also, the time slots of downlink WET and uplink WIT stages are theoretically derived in closed-form expressions using the Lagrange dual method and the Karush-Kuhn–Tucker (KKT) conditions. …”
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Topological Indices of Derived Networks of Benzene Ring Embedded in P-Type Surface on 2 D by Feng Yin, Muhammad Numan, Saad Ihsan Butt, Adnan Aslam, Andleeb Kausar

“…In this paper, we compute general Randić, general Zagreb, general sum-connectivity, first Zagreb, second Zagreb, and ABC and GA indices of two operations (simple medial and stellation) of 2 D network of benzene ring. Also, the exact expressions of ABC4 and GA5 indices of these structures are computed.…”
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THE EQUIVALENT OF THE JAPANESE VERBS SONAERU, SASHIAGERU, AND SAZUKERU INTO INDONESIAN by Made Ratna Dian Aryani, Renny Anggraeny

“…Japanese and Indonesian have different expressions of the 'giving' verb, both syntactically and pragmatically. …”
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Statistical Characteristics and Security Analysis over Multi-Cascade κ-μ Shadowed Channels by Xiaohong Wang, Ming Ren, Yiwei Fang, Xinji Tian, Yanyang Zeng

“…In particular, the general accurate expressions of the probability density function and the cumulative distribution function for amplitude and signal-to-noise ratio (SNR) are derived for the first time. …”
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Inner-Product Matchmaking Encryption: Bilateral Access Control and Beyond Equality by Qiaohan Chu, Anmin Fu, Haifeng Qian, Jie Chen

“…Both of the schemes have more expressive functionalities than identity-based matchmaking encryption (IB-ME) scheme, and are simpler than Ateniese et al.’s modular ME scheme (Crypto’ 19). …”
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A Spectral Finite Element Model for Vibration Analysis of a Beam Based on General Higher-Order Theory by Jiao Sujuan, Li Jun, Hua Hongxing, Shen Rongying

“…Two coupled equations of motion are derived by use of Hamilton's principle along with the full three-dimensional constitutive relations. The theoretical expressions of the spectral element matrix are formulated from the exact solutions of the coupled governing equations. …”
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Numerical analysis of isolated end-flattened steel bars under compression in space trusses by Henrique de Araujo Rosa Cruz, Luciano M. Bezerra, Welington Vital da Silva, Ramon Silva

“…Finally, the analytical formulations that describe the phenomenon from the approach of global and local instabilities incorporated into current normative expressions are applied in a comparison with the results gathered in the numerical approach.…”
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On the Regular Integral Solutions of a Generalized Bessel Differential Equation by L. M. B. C. Campos, F. Moleiro, M. J. S. Silva, J. Paquim

“…The regular integral solutions of the first and second kinds lead, respectively, to the generalized Bessel and Neumann functions; these reduce to the original Bessel and Neumann functions for zero degree and have alternative expressions for nonzero degree.…”
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Numerical analysis of isolated end-flattened steel bars under compression in space trusses by Henrique de Araujo Rosa Cruz, Luciano Mendes Bezerra, Welington Vital da Silva, Ramon Silva

“…Finally, the analytical formulations that describe the phenomenon from the approach of global and local instabilities incorporated into current normative expressions are applied in a comparison with the results gathered in the numerical approach. …”
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Energy Sharing and Performance Bounds in MIMO DFRC Systems: A Trade-Off Analysis by Ziheng Zheng, Xiang Liu, Tianyao Huang, Yimin Liu, Yonina C. Eldar

“…When the downlink user and the radar target meet certain conditions, we obtain analytical expressions for the bound and the corresponding waveform design strategy. …”
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Thermodynamic and Elastic Properties of Interstitial Alloy FeC with BCC Structure at Zero Pressure by Bui Duc Tinh, Nguyen Quang Hoc, Dinh Quang Vinh, Tran Dinh Cuong, Nguyen Duc Hien

“…The analytic expressions for the thermodynamic and elastic quantities such as the mean nearest neighbor distance, the free energy, the isothermal compressibility, the thermal expansion coefficient, the heat capacities at constant volume and at constant pressure, the Young modulus, the bulk modulus, the rigidity modulus, and the elastic constants of binary interstitial alloy with body-centered cubic (BCC) structure, and the small concentration of interstitial atoms (below 5%) are derived by the statistical moment method. …”
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Autisme et Douleur – Analyse Bibliographique by Amandine Dubois, Cécile Rattaz, René Pry, Amaria Baghdadli

“…Second, the hypotheses envisaged to explain the presence of expressive particularities in people with autism spectrum disorders were reviewed; these included endogenous opioid excess theory, sensorial abnormalities and sociocommunicative deficit. …”
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Climate change in reclamation landscapes – Adaptation between module and modularity by Carla Brisotto, Jeff Carney, Ina Macaione, Alessandro Raffa

“… Modern drainage of wetlands has produced landscapes that are expressions of a productive view of natural space. These landscapes result from a profound environmental transformation driven by economic, social, health, and cultural reasons. …”
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Neurotropic Melanoma: The Management of Localised Disease by Jeremy Croker, Bryan Burmeister, Matthew Foote

“…These tumours can be a diagnostic dilemma with a variety of morphological, histopathological, and immunophenotypical expressions. The often amelanotic, benign appearance may lead to treatment issues such as late presentation, diagnostic delay, misdiagnosis, insufficient surgical margins, and recurrence with resulting poor outcome. …”
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Lorentzian CFT 3-point functions in momentum space by Teresa Bautista, Hadi Godazgar

“…Abstract In a conformal field theory, two and three-point functions of scalar operators and conserved currents are completely determined, up to constants, by conformal invariance. The expressions for these correlators in Euclidean signature are long known in position space, and were fully worked out in recent years in momentum space. …”
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Pivot Profile: A Rapid Sensory Analysis Method and Its Application in Foods by NIU Junjie, SHI Bolin, ZHONG Kui, LI Hongliang, WEN Ting, WANG Houyin, AN Zhicong, GAO Haiyan, ZHAO Lei

“…Taking the center sample (Pivot) as a reference, this method obtains easy-to-perceive and expressible sensory descriptors based on the participants’ difference perception and free description to effectively differentiate between sample sets. …”
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Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity by Jinlong Liao, Haichao Zhu, Jiuxiao Hou, Suwei Yuan

“…The unknown expansion coefficients are obtained using the Rayleigh–Ritz technique based on the energy expressions for the strongly coupled plate-cavity system. …”
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