Per‐unit transformation for the combined analysis of multi‐energy integration by Zhang Zhang, Fei Wang, Hui Fan

“…The proposed method's theoretical proofs demonstrate its ability to preserve structure and reduce complexity. Simulation results in various cases validate the accuracy of the per‐unit model and verify the effectiveness of the transformation in reducing conditional numbers. …”
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Investment attractiveness of Republic of Crimea and its assessment by I. N. Primyshev

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Quasi-Babinet principle in dielectric resonators and Mie voids by Masoud Hamidi, Kirill Koshelev, Sergei Gladyshev, Adrià Canós Valero, Mario Hentschel, Harald Giessen, Yuri Kivshar, Thomas Weiss

“…Thus, our work not only offers deeper physical insight into the working mechanism of these systems but also establishes simple design rules for constructing dielectric resonators with complex functionalities from their complementary counterparts.…”
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Novel Evaluation of Fuzzy Fractional Helmholtz Equations by Meshari Alesemi, Naveed Iqbal, Noorolhuda Wyal

“…It is critical to emphasize that the purpose of the proposed fuzziness approach is to demonstrate the efficiency and superiority of numerical solutions to nonlinear fractional fuzzy partial differential equations that arise in complex and physical structures.…”
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Effects of Typographic Salience on the Processing and Acquisition of Reversed Subtitles by Hussein Abu-Rayyash, Shatha Alhawamdeh, Haya Alghufaily, Shima Asadi

“…However, realizing enduring collective benefit remains contingent on elevating adaptation specifications to overcome consolidation barriers tied to intrinsic structural complexities.…”
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Novel Analysis of Fuzzy Fractional Klein-Gordon Model via Semianalytical Method by Mohammad Alshammari, Wael W. Mohammed, Mohammed Yar

“…It is crucial to emphasize that the suggested fuzziness method is intended to demonstrate the efficiency and superiority of numerical solutions to nonlinear fractional fuzzy partial differential equations found in complex and physical structures.…”
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Theory of hypernumbers and extrafunctions: Functional spaces and differentiation by Mark Burgin

“…For example, while nonstandard analysis changes spaces of real and complex numbers by injecting into them infinitely small numbers and other nonstandard entities, the theory of extrafunctions does not change the inner structure of spaces of real and complex numbers, but adds to them infinitely big and oscillating numbers as external objects. …”
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Symptom network analysis of insomnia-depression-anxiety-stigma in tuberculosis patients by Xiangmin Liu, Xue Qiu, Huizhen Lan, LiuYue Diao, Wei Huang, Yan Wen, Mei Feng, Mei Feng, Xiangdong Tang

“…BackgroundInsomnia, depression, anxiety, and stigma are prevalent and often coexist in patients with Tuberculosis (TB), potentially exacerbating one another. However, the complex intrinsic associations among these four disorders remain unclear, particularly concerning the role of stigma in relation to the other disorders.MethodsA cross-sectional study was conducted at West China Hospital and the Fourth People’s Hospital of Guangxi from November 2023 to June 2024. …”
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Numerical Integration of Some Arbitrary Functions over an Ellipsoid by Discretizing into Hexahedral Elements for Biomaterial Studies by T. M. Mamatha, B. Venkatesh, P. Senthil Kumar, S. Mullai Venthan, M. S. Nisha, Gayathri Rangasamy

“…Unshaped biomaterials’ complex structures have been numerically analyzed using Gaussian quadrature rules. …”
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Thermal Design and Experimental Validation of a Lightweight Microsatellite by Hongzhou Huang, Changgen Bu

“…The multiple working modes, complex working conditions, frequent changes in external heat flux, and high-power consumption of satellites all pose great difficulties to their thermal design. …”
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Robust Stabilization Control Based on Guardian Maps Theory for a Longitudinal Model of Hypersonic Vehicle by Yanbin Liu, Mengying Liu, Peihua Sun

“…Then, a general control structure in relation to the guardian maps theories is proposed to achieve the respected design demands. …”
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Multistability and Instability of Competitive Neural Networks with Mexican-Hat-Type Activation Functions by Xiaobing Nie, Jinde Cao, Shumin Fei

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Non-minimal elliptic threefolds at infinite distance II: asymptotic physics by Rafael Álvarez-García, Seung-Joo Lee, Timo Weigand

“…Abstract We interpret infinite-distance limits in the complex structure moduli space of F-theory compactifications to six dimensions in the light of general ideas in quantum gravity. …”
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Safety Analysis of Integrated Modular Avionics System Based on FTGPN Method by Haiyun Yang, Youchao Sun, Longbiao Li, Yundong Guo, Siyu Su, Qijun Huangfu

“…Compared with federated avionic architecture, the integrated modular avionic (IMA) system architecture in the aircraft can provide more sophisticated and powerful avionic functionality, and meanwhile, it becomes structurally dynamic, variably interconnected, and highly complex. …”
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Differential Calculus on N-Graded Manifolds by G. Sardanashvily, W. Wachowski

“…A key point is that the graded derivation module of the structure ring of graded functions on an N-graded manifold is the structure ring of global sections of a certain smooth vector bundle over its body Z. …”
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Setting the background in discourse by Nicholas Asher, Laurent Prévot, Laure Vieu

“…Such locative adverbials, which have the ability to locate not only the sentence but a whole segment, introduce a complex discourse structure. In a nutshell, this structure contains a new discourse topic (framing topic), which is elaborated by the constituent representing the sentence or the discourse segment falling intuitively under the scope of the adverbial. …”
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Color code decoder with improved scaling for correcting circuit-level noise by Seok-Hyung Lee, Andrew Li, Stephen D. Bartlett

“…However, decoding color codes presents a significant challenge due to their structure, where elementary errors violate three checks instead of just two (a key feature in surface code decoding), and the complexity of extracting syndrome is greater. …”
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Energy efficiency and indoor climatic conditions in buildings: dynamic modeling for systemic improvement by Inna Bilous, Dmytro Biriukov, Tatiana Eutukhova, Oleksandr Novoseltsev, Volodymyr Voloshchuk, Aleksejs Prozuments

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DIMD-DETR: DDQ-DETR With Improved Metric Space for End-to-End Object Detector on Remote Sensing Aircrafts by Huan Liu, Xuefeng Ren, Yang Gan, Yongming Chen, Ping Lin

“…Initially, a bilayer targeted prediction method is proposed to strengthen gradient interaction across decoder layers, thereby enhancing detection accuracy and sensitivity in complex scenarios. The pyramid structure and self-attention mechanism from pyramid vision transformer V2 are incorporated to enable effective joint learning of both global and local features, which significantly boosts performance for low-resolution targets. …”
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Microcontroller-Based Direct Torque Control Servodrive by Rafael Rodríguez-Ponce, Francisco Gustavo Mota-Muñoz

“…Although highly efficient, this approach is usually reserved for postgraduate education due to its complex structure and functionality. In this paper, the authors present a modular servodrive design on a low-cost, general-purpose microcontroller using the direct torque control (DTC) method, an alternative known for greater simplicity and torque response, compared with FOC. …”
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