On the solvability of a system of wave and beam equations by Juha Berkovits

“…The main concept is the matrix spectrum which is a natural extension of standard definition. Using invariant subspaces together with degree theoretic argument we obtain information about the range of the abstract operator.…”
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Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling by Kumar Ghosh, Kavitha Yogaraj, Gabriele Agliardi, Piergiacomo Sabino, Fernandez-Campoamor Marina, Bernabe-Moreno Juan, Giorgio Cortiana, Omar Shehab, Corey O'Meara

“…The algorithm achieves a reduction in the circuit width in the order of the binary precision compared to the typical implementation of quantum amplitude estimation, while simultaneously decreasing the number of quantum–classical iterations (again in the order of the binary precision) compared to the iterative amplitude estimation. …”
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Design and Control of Nonlinear Mechanical Systems for Minimum Time by J.B. Cardoso, P.P. Moita, A.J. Valido

“…A conceptual separation between time variant and time invariant design parameters is presented, this way including the design space into the control space and considering the design variables as control variables not depending on time. …”
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The Existence and Structure of Rotational Systems in the Circle by Jayakumar Ramanathan

“…Such systems have been studied when they arise as invariant subsets of certain specific mappings, F:T→T. …”
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Influence of Quantity and Quality of Bonding Phases on Strength of Iron Ore Sinters by Zhigang Que, Laixin Wang, Yinxuan Fu, Fan Gu, Jinming Shi

“…As the maximum temperature increased from 1240 °C to 1320 °C and the binary basicity of the adhering fines increased from 5.0 to 9.0, and the strength of the sinter increased first and then decreased. …”
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On Complex Dynamics of Differentiated Products: Cournot Duopoly Model under Average Profit Maximization by S.S. Askar

“…Under some restrictions, the map’s coordinate axes form an invariant manifold, and hence their dynamics are studied based on a one-dimensional discrete dynamic map. …”
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Generating Encrypted Document Index Structure Using Tree Browser by Doaa N. Mhawi, Haider W. Oleiwi, Heba L. Al-Taie

“…This method represents the keywords in a variable-length binary format before being stored in the index. This binary format provides additional encryption to the information stored and reduces the index size. …”
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Relationship between authentic leadership and job satisfaction among undergraduate nursing professors by Cezar Augusto da Silva Flores, André Almeida de Moura, José Luis Guedes dos Santos, Alexandre Pazetto Balsanelli, Carmen Silvia Gabriel, Andrea Bernardes

“…The information collected was analyzed using descriptive statistical techniques, Spearman’s correlation test, and binary logistic regression analysis, with a 5% significance level. …”
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PHOTONICS TECHNOLOGY AS A WAY FOR UPGRADING KEY TECHNICAL FEATURES OF RADIO-SIGNAL DELAY DEVICES by T. N. Bakhvalova, M. E. Belkin, I. V. Gladyshev, S. A. Kudzh, A. S. Sigov

“…Based on the previous results for our investigations of various retarding materials for super-wide bandwidth long-term delay lines and shortcomings of the available fiberoptic delay links based on binary delay chain where semiconductor optical switches are used to switch in or out delay segments that are binary multiples of a minimum delay, the principles of optimization and design of next-generation fiber-optics radio-frequency delay devices are proposed. …”
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Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in Membrane by Andrzej Ślęzak, Sławomir M. Grzegorczyn

“…Within the TOP framework, a procedure has been developed for the transformation of the Kedem–Katchalsky (K–K) equations for the transport of binary electrolytic solutions across a membrane into the Kedem–Katchalsky–Peusner (K–K–P) equations. …”
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Bearing Fault Diagnosis Based on Multilayer Domain Adaptation by Bingru Yang, Qi Li, Liang Chen, Changqing Shen

“…Through the comparisons of different signal processing methods, different parameter settings, and different models, it is proved that the proposed MLDA model can effectively extract domain-invariant features and achieve satisfying results.…”
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Evaluation of Acidity Constants and Evolution of Electronic Features of Phenol Derivatives in Different Compositions of Methanol/Water Mixture by Mahmood Sanchooli

“…The Onsager reaction field model was applied to any molecule of phenol derivatives dissolved in binary mixture of methanol/water, and the quantum chemical descriptors of the solute were calculated. …”
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Passive highly dispersive matching network enabling broadband electromagnetic absorption by Pardha S. Nayani, Morteza Moradi, Pooria Salami, Younes Ra’di

“…However, a theoretical upper bound exists on the bandwidth-to-thickness ratio of metal-backed, passive, linear, and time-invariant absorbing layers. Absorbers developed to date, irrespective of their operational frequency range or material thickness, significantly underperform when compared to this upper bound, failing to exploit the full potential that passive, linear, and time-invariant systems can provide. …”
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Experimental determination of activity interaction coefficients of components in Si-B-Fe and Si-B-Al ternary systems at 1723 K by Yang F., Zhou Y.-Q., Wu J.-J., Ma W.-H., Lei Y.

“…Fe and Al were respectively dissolved into the binary Si-B solution at 1723 K with the holding time of 5 h, 7 h, 9 h, and 11 h. …”
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A combined method of formation of a cryptographic key with secret modification of the results of synchronization of artificial neural networks by M. L. Radziukevich

“…The proposed combined formation consists of two stages: the formation of partially coinciding binary sequences using synchronized artificial neural networks and the elimination of mismatched bits by open comparison of the parities of bit pairs. …”
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LONG-WAVE DYNAMICS IN THE CONTEXT OF THE DEVELOPMENT OF INSTITUTIONAL ECONOMIC THEORY by B. A. Yerznkyan

“…It has been shown that intra-firm transactions are based on the implicit ternary contracts, market with the mediators on the explicit ternary contracts, market without mediators on the explicit binary contracts, and the network transactions in ecosystems are based on the implicit binary contracts.…”
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A note on quantum subgroups of free quantum groups by Hoshino, Mao, Kitamura, Kan

“…They correspond to pairs of a subgroup $\Gamma $ and a subset $S$ of the free group $\mathbb{F}_n$ such that $S$ is $\Gamma $-invariant, containing $\Gamma $, and connected in the Cayley graph of $\mathbb{F}_n$.…”
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Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions by Byung Keun Sohn

“…In addition, we show that the kernel of an integral operator provides approximation order in in the context of shift-invariant spaces.…”
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A Cross-Sectional Network Analysis Study Applied to the Depression Anxiety Stress Scale-21 (DASS-21): A New Factor Revealed by Marco Antônio Silva Alvarenga, Amira Mohammed Ali, Carollina Souza Guilhermino, Tiago Geraldo de Azevedo, Kelly Fernandes Olímpio, Camila Kersul, Glacithane Lins da Cunha, Juliana Alvares-Teodoro, Pricila Cristina Correa Ribeiro, Marcela Mansur-Alves, Maycoln Lêoni Martins Teodoro, Paulo Felipe Ribeiro Bandeira

“…In addition, there was factorial invariance between the groups compared. Implications for the use of the new structure are discussed.…”
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Massive Conformal Gravity by F. F. Faria

“…We construct a massive theory of gravity that is invariant under conformal transformations. The massive action of the theory depends on the metric tensor and a scalar field, which are considered the only field variables. …”
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