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421
On the Asymptotic Expansions of the (<i>p</i>,<i>k</i>)-Analogues of the Gamma Function and Associated Functions
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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422
Concrete constructions of 2-resilient rotation symmetric Boolean functions with 7 variables
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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423
QUANTITATIVE ANALYSES ON THE EFFECTIVE HARDENING LAYER DEPTH OF GEAR
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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424
Soil smoldering in temperate forests: a neglected contributor to fire carbon emissions revealed by atmospheric mixing ratios
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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425
The Anisotropic Time-Dependent Properties and Constitutive Model Analysis of Carbonaceous Slate with Different Foliation Angles
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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426
The effect of groundwater depth on topsoil organic matter mineralization during a simulated dry summer in northwestern Europe
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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427
Power Transmission for Millimeter-Wave Indoor/Outdoor Wearable IoT Devices Using Grounded Coplanar Waveguide-Fed On-Body Antenna
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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428
Modeling Lake Titicaca's water balance: the dominant roles of precipitation and evaporation
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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429
Sensitivity and bifurcation analysis of corruption dynamics model with control measures
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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430
Technical note: Towards atmospheric compound identification in chemical ionization mass spectrometry with pesticide standards and machine learning
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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431
The MyFlex-ζ Foot: A Variable Stiffness ESR Ankle-Foot Prosthesis
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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432
Application of Statistical Methods for the Characterization of Radon Distribution in Indoor Environments: A Case Study in Lima, Peru
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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433
A hyperspectral and multi-angular synthetic dataset for algorithm development in waters of varying trophic levels and optical complexity
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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434
Hydra Radio Access Network (H-RAN): Multi-Functional Communications and Sensing Networks, Initial Access Implementation, and Task-2 Approach
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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435
Modelling and analysis of an epidemic model with awareness caused by deaths due to fear
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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436
The Discrete Ueda System and Its Fractional Order Version: Chaos, Stabilization and Synchronization
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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437
Derivation and Verification of the Relationship between Ablation Index and Baseline Impedance
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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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>
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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439
Nutritional composition and organoleptic quality of instant local black rice (cempo ireng) with moderate glycemic index
Published 2025-01-01“…The third formula was the best formula based on the panelists' choices and anthocyanin content. …”
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440
Mobility Aware Spectrum Handoff in 6G-Enabled Cognitive Radio Vehicular Centralized and Ad-Hoc Networks
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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