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  1. 421

    On the Asymptotic Expansions of the (<i>p</i>,<i>k</i>)-Analogues of the Gamma Function and Associated Functions by Tomislav Burić

    Published 2025-01-01
    “…The numerical precision of the derived asymptotic formulas is shown and compared. Results are applied to the analogues of digamma and polygamma functions, and asymptotic expansion of the quotient of two <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula>-gamma functions is also derived and analyzed. …”
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  2. 422

    Concrete constructions of 2-resilient rotation symmetric Boolean functions with 7 variables by Jiao DU, Lin LI, Ziwei ZHAO, Yueyue LI, Tianyin WANG

    Published 2024-01-01
    “…Based on the properties of the 2-tuples distribution matrix of the rotation symmetric orbits, all 7-variable 2-resilient rotation symmetric Boolean functions were constructed concretely.The results show that there are only 280 nonlinear 2-resilient rotation symmetric Boolean functions over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mi mathvariant="double-struck">F</mi> <mn>2</mn> <mn>7</mn> </msubsup> </math></inline-formula>.Furthermore, there are at least 280 nonlinear 2-resilient rotation symmetric Boolean functions over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mi mathvariant="double-struck">F</mi> <mn>2</mn> <mrow> <mn>7</mn><mi>k</mi></mrow> </msubsup> </math></inline-formula> for any odd number k.…”
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  3. 423

    QUANTITATIVE ANALYSES ON THE EFFECTIVE HARDENING LAYER DEPTH OF GEAR by XIAO WeiZhong, LIU ZhongMing, YUAN YuPeng, YAN ShiDang

    Published 2015-01-01
    “…The results show that the accuracy of the derived simple computational formula can meet the requirements for gear design. …”
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  4. 424

    Soil smoldering in temperate forests: a neglected contributor to fire carbon emissions revealed by atmospheric mixing ratios by L. Vallet, L. Vallet, C. Abdallah, T. Lauvaux, L. Joly, M. Ramonet, P. Ciais, M. Lopez, I. Xueref-Remy, F. Mouillot

    Published 2025-01-01
    “…As a result, the carbon emissions from the 2022 fires in France amounted to 7.95 MtCO<span class="inline-formula"><sub>2</sub></span>-eq (<span class="inline-formula">±3.62</span>). …”
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  5. 425

    The Anisotropic Time-Dependent Properties and Constitutive Model Analysis of Carbonaceous Slate with Different Foliation Angles by Yuanguang Zhu, Xuanyao Wang, Bin Liu, Haoyuan Xue

    Published 2024-12-01
    “…In view of this, carbonaceous slate specimens with different angles, <i>β</i>, between the foliation plane and loading direction were studied using a graded loading method through uniaxial compression creep tests. The results show that the instantaneous axial strain, <i>ε<sub>i</sub></i>, the axial creep strain, <i>ε<sub>c</sub></i>, the duration time of decelerating creep stage, <i>t<sub>d</sub></i>, and the steady creep strain rate, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mover accent="true"><mrow><mi>ε</mi></mrow><mo>˙</mo></mover></mrow><mrow><mi>s</mi></mrow></msub></mrow></semantics></math></inline-formula>, increased with the rise in the loading ratio, <i>k</i>. …”
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  6. 426

    The effect of groundwater depth on topsoil organic matter mineralization during a simulated dry summer in northwestern Europe by A. Françoys, A. Françoys, O. Mendoza, J. Hu, P. Boeckx, W. Cornelis, S. De Neve, S. Sleutel

    Published 2025-01-01
    “…A 50 cm difference in the GWT depth (<span class="inline-formula">−165</span> vs. <span class="inline-formula">−115</span> cm) resulted in different topsoil moisture values for the sandy loam (31 % vs. 38 % water-filled pore space – WFPS) and silt loam (33 % vs. 43 % WFPS) soils. …”
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  7. 427

    Power Transmission for Millimeter-Wave Indoor/Outdoor Wearable IoT Devices Using Grounded Coplanar Waveguide-Fed On-Body Antenna by Fuad Erman, Slawomir Koziel, Alhareth Zyoud, Leifur Leifsson, Ubaid Ullah, Shaker Alkaraki

    Published 2025-01-01
    “…In addition, the article discusses the design and experimental results of a single-element on-body mm-wave antenna used to design the <inline-formula> <tex-math notation="LaTeX">$9\times 9$ </tex-math></inline-formula> rectenna array. …”
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  8. 428

    Modeling Lake Titicaca's water balance: the dominant roles of precipitation and evaporation by N. Lima-Quispe, D. Ruelland, A. Rabatel, W. Lavado-Casimiro, T. Condom

    Published 2025-02-01
    “…We also evaluated the role of heat storage change in evaporation from the lake. The results showed that the proposed modeling framework makes it possible to simulate lake water levels ranging from 3808 to 3812 m a.s.l. with good accuracy (RMSE <span class="inline-formula">=</span> 0.32 m d<span class="inline-formula"><sup>−1</sup></span>) over a wide range of long-term hydroclimatic conditions. …”
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  9. 429

    Sensitivity and bifurcation analysis of corruption dynamics model with control measures by Tesfaye Worku Gutema, Alemu Geleta Wedajo, Purnachandra Rao Koya

    Published 2024-12-01
    “…The model was simulated by using ode45 code in MATLAB and results indicate that the effective transmission contact rate [Formula: see text] and taking of adequate penalties rate [Formula: see text] reduce corruption. …”
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  10. 430

    Technical note: Towards atmospheric compound identification in chemical ionization mass spectrometry with pesticide standards and machine learning by F. Bortolussi, H. Sandström, F. Partovi, F. Partovi, J. Mikkilä, P. Rinke, P. Rinke, P. Rinke, P. Rinke, M. Rissanen, M. Rissanen

    Published 2025-01-01
    “…Our best classification model reaches a prediction accuracy of 0.85 <span class="inline-formula">±</span> 0.02 and a receiver operating characteristic curve area of 0.91 <span class="inline-formula">±</span> 0.01. …”
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  11. 431

    The MyFlex-&#x03B6; Foot: A Variable Stiffness ESR Ankle-Foot Prosthesis by Johnnidel Tabucol, Vera G. M. Kooiman, Marco Leopaldi, Ruud Leijendekkers, Giacomo Selleri, Marcello Mellini, Nico Verdonschot, Magnus Oddsson, Raffaella Carloni, Andrea Zucchelli, Tommaso M. Brugo

    Published 2025-01-01
    “…This paper presents MyFlex-<inline-formula> <tex-math notation="LaTeX">$\zeta $ </tex-math></inline-formula>, an ESR foot with a variable stiffness system, as a compromise between these two categories. …”
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  12. 432

    Application of Statistical Methods for the Characterization of Radon Distribution in Indoor Environments: A Case Study in Lima, Peru by Rafael Liza, Félix Díaz, Patrizia Pereyra, Daniel Palacios, Nhell Cerna, Luis Curo, Max Riva

    Published 2025-01-01
    “…Geospatial interpolation methods, specifically Inverse Distance Weighting (IDW) and Kriging, were employed to map radon concentrations. The results revealed significant temporal variability in radon concentrations, with geometric means of 146.4 Bq·<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mtext>m</mtext><mrow><mo>−</mo><mn>3</mn></mrow></msup></semantics></math></inline-formula>, 162.3 Bq·<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mtext>m</mtext><mrow><mo>−</mo><mn>3</mn></mrow></msup></semantics></math></inline-formula>, and 150.8 Bq·<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mtext>m</mtext><mrow><mo>−</mo><mn>3</mn></mrow></msup></semantics></math></inline-formula>, respectively, across the three periods. …”
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  13. 433

    A hyperspectral and multi-angular synthetic dataset for algorithm development in waters of varying trophic levels and optical complexity by J. Pitarch, V. E. Brando, V. E. Brando

    Published 2025-02-01
    “…AOPs are resolved across the complete range of solar and viewing zenith and azimuthal angles as per the HydroLight default quadrants, amounting to 1300 angular combinations. …”
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  14. 434

    Hydra Radio Access Network (H-RAN): Multi-Functional Communications and Sensing Networks, Initial Access Implementation, and Task-2 Approach by Rafid I. Abd, Daniel J. Findley, Kwang Soon Kim

    Published 2025-01-01
    “…More specifically, a novel <inline-formula> <tex-math notation="LaTeX">$\text {task}_{2}$ </tex-math></inline-formula> is developed in this study to generate a list of recommended beamforming vectors and patterns designed to address the challenges arising from blockage scenarios of <inline-formula> <tex-math notation="LaTeX">$\text {level}_{1}$ </tex-math></inline-formula> in MMW/THz environments.…”
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  15. 435

    Modelling and analysis of an epidemic model with awareness caused by deaths due to fear by Ling Xue, Junqi Huo, Yuxin Zhang

    Published 2025-12-01
    “…The expression of the basic reproduction number [Formula: see text] is characterized. It is shown that the disease-free equilibrium (DFE) is globally asymptotically stable if [Formula: see text], and the system exhibits a forward bifurcation if [Formula: see text]. …”
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  16. 436

    The Discrete Ueda System and Its Fractional Order Version: Chaos, Stabilization and Synchronization by Louiza Diabi, Adel Ouannas, Amel Hioual, Giuseppe Grassi, Shaher Momani

    Published 2025-01-01
    “…Advanced complexity measures, including approximation entropy (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mi>p</mi><mi>E</mi><mi>n</mi></mrow></semantics></math></inline-formula>) and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>C</mi><mn>0</mn></msub></semantics></math></inline-formula> complexity, are applied to validate and measure the nonlinear and chaotic nature of the system; the results indicate a high level of complexity. …”
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  17. 437

    Derivation and Verification of the Relationship between Ablation Index and Baseline Impedance by Zheng Cai, Sainan Li, Qi Zhang, Chenyuan Wang, Zhen Jin, Ming Fu, Shuai Zhang, Ming Liang, Zulu Wang, Yaling Han

    Published 2021-01-01
    “…And the derivation of empirical formula was achieved according to the AIs and baseline impedance values in similar lesions dimension. (3) Basic AI and baseline impedance (AI0/R0) were set as 400/120 Ω in the common AI groups and 550/120 Ω in the high AI groups, AI values in different baseline impedances were calculated using the empirical formula, and the corresponding lesion dimensions were measured to verify this formula. …”
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  18. 438

    Compensatory effects conceal large uncertainties in the modelled processes behind the relationship between the El Niño–Southern Oscillation (ENSO) and CO<sub>2</sub> by I. Dunkl, I. Dunkl, A. Bastos, T. Ilyina, T. Ilyina, T. Ilyina

    Published 2025-01-01
    “…These pathways result from the configuration of three interacting processes that contribute to the overall ENSO–<span class="inline-formula">CO<sub>2</sub></span> relationship: ENSO strength, ENSO-induced climate anomalies, and the sensitivity of NBP to climate. …”
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  19. 439
  20. 440

    Mobility Aware Spectrum Handoff in 6G-Enabled Cognitive Radio Vehicular Centralized and Ad-Hoc Networks by Shanidul Hoque, Hemanta Kumar Sahu, Mohammed Nazibul Hasan, Rajesh Saha

    Published 2025-01-01
    “…In addition, we derive the LMP and LFP of a non-stationary CU in <inline-formula> <tex-math notation="LaTeX">$k^{th}$ </tex-math></inline-formula> cell and compare the results among various cells. …”
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