The very-high-resolution configuration of the EC-Earth global model for HighResMIP by E. Moreno-Chamarro, E. Moreno-Chamarro, E. Moreno-Chamarro, T. Arsouze, T. Arsouze, M. Acosta, P.-A. Bretonnière, M. Castrillo, E. Ferrer, A. Frigola, D. Kuznetsova, E. Martin-Martinez, P. Ortega, S. Palomas

“…The model features an atmospheric resolution of <span class="inline-formula">∼16</span> km and an oceanic resolution of <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M2" display="inline" overflow="scroll" dspmath="mathml"><mrow><mn mathvariant="normal">1</mn><mo>/</mo><mn mathvariant="normal">12</mn></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="27pt" height="14pt" class="svg-formula" dspmath="mathimg" md5hash="a2879ce90a471c2a13686af16fab0d0a"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="gmd-18-461-2025-ie00001.svg" width="27pt" height="14pt" src="gmd-18-461-2025-ie00001.png"/></svg:svg></span></span>° (<span class="inline-formula">∼8</span> km), which makes it one of the finest combined resolutions ever used to complete historical and scenario-like CMIP6 simulations. …”
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A Bore-Integrated Patch Antenna Array for Whole-Body Excitation in Ultra-High-Field Magnetic Resonance Imaging by Svetlana S. Egorova, Nikolai A. Lisachenko, Egor I. Kretov, Yang Gao, Xiaotong Zhang, Stanislav B. Glybovski, Georgiy A. Solomakha

“…The human body&#x2019;s ultra-high field magnetic resonance imaging suffers from the inhomogeneity of the radio frequency magnetic field <inline-formula> <tex-math notation="LaTeX">$B_{1}^{+}$ </tex-math></inline-formula> and the high-peak levels of SAR created in body tissues during transmission. …”
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An Integrated Stacking Ensemble Model for Natural Gas Purchase Prediction Incorporating Multiple Features by Junjie Wang, Lei Jiang, Le Zhang, Yaqi Liu, Qihong Yu, Yuheng Bu

“…Subsequently, we integrated these base models using a meta-learner to form the final stacking ensemble model. The experimental results indicate that the stacking ensemble model outperforms individual models across key metrics, including <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>R</mi><mn>2</mn></msup></semantics></math></inline-formula>, MRE, and RMSE. …”
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Analysis of Sparse Trajectory Features Based on Mobile Device Location for User Group Classification Using Gaussian Mixture Model by Yohei Kakimoto, Yuto Omae, Hirotaka Takahashi

“…The results indicate that GMM-based features outperform IDNN-based features in both classification accuracy and generalization performance. …”
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A Wearable System for Experimental Knee Pain During Real-World Locomotion: Habituation and Motor Adaptation by Jesse M. Charlton, Liam H. Foulger, Calvin Kuo, Jean-Sebastien Blouin

“…A linear model fit the data well for intensities &#x003E;1/10, though a piecewise linear (Adj R<inline-formula> <tex-math notation="LaTeX">$^{{2}} =0.874$ </tex-math></inline-formula>) or exponential model (Adj R<inline-formula> <tex-math notation="LaTeX">$^{{2}} =0.869$ </tex-math></inline-formula>) was required to fit the perception data across the stimulus intensity range (0-5/10). …”
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Sub-THz channel measurement and hybrid channel modeling for indoor scenarios by WANG Yang, ZHOU Xue, ZHENG Xiangquan, LIAO Xi, ZHOU Xianrong, CHEN Qianbin

“…The results demonstrate that the proposed model can accurately and effectively characterize the sub-THz channel.…”
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New glacier thickness and bed topography maps for Svalbard by W. van Pelt, T. Frank

“…We find a total glacier volume (excluding the island Kvitøya) of 6800 <span class="inline-formula">±</span> 238 km<span class="inline-formula">³</span>, corresponding to 16.3 <span class="inline-formula">±</span> 0.6 mm sea level equivalent. …”
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Estimation of Hospital Potential Capacity and Basic Reproduction Number by Fei Wang, Linhua Wang, Peng Wang

“…In order to reflect the population covered by institutional medical services, the concept of hospital potential capacity is proposed and a formula for its estimation is developed based on a population dynamic model. …”
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Commutants of the Pommiez operator by Ivan H. Dimovski, Valentin Z. Hristov

“…The main result is a representation formula of the commutant of the Pommiez operator in an arbitrary invariant hyperplane of ℋ(G). …”
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Local maxima of a random algebraic polynomial by K. Farahmand, P. Hannigan

“…We present a useful formula for the expected number of maxima of a normal process ξ(t) that occur below a level u. …”
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Contactless Modal Phenomena Based Approach to Detecting, Identifying, and Diagnosing of Electrical Connections by Pavel Orlov, Talgat Gazizov

“…The article also considers the analysis of modal distortions in frequency domain and gives the formula for its practical use. This formula can be useful when the pulse duration time is longer than the minimum of mode delay difference. …”
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The analysis of reliability of pedagogical test of a course of mathematics on the subject "Ranks" by Ludmila V. Limanova

“…The coefficient of reliability was calculated on three formulas: by means of a formula KR-20, average coefficient of correlation of all tasks among themselves and on Spirmena-Brown's formula. …”
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Static and Dynamic Characteristics of Steel-Concrete Composite Track Beam of Straddle Monorail with Cluster-Distributed Studs by Shuai Zhou, Peng Yu, Jianguo Nie

“…The strain value of concrete slab is significantly larger than that of the upper edge of steel beam, so it is difficult to apply the plane-section assumption. (3) Compared with all the measured results of the track beam test, the results of the detailed shell-solid FEM model based on the load-slip curve obtained by push-out test are close to them, and the maximum error is 11.4% difference in stress. (4) Compared with the results obtained by the theoretical formula of the UDS, the results obtained by the theoretical formulas of the CDS based on a “correction coefficient of vertical bending stiffness” proposed in this paper show less deviation comparing to the measured results of the track beam test and are more resilient. …”
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Analysis of the Shear Capacity of Ultrahigh Performance Concrete Beams Based on the Modified Compression Field Theory by Wei Feng, Hongming Feng, Zhijun Zhou, Xiongwei Shi

“…Comparing the MCFT model with the results of other pieces of literature, this formula accurately predicted the shear capacity of UHPC beams. …”
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GENERAL EQUATION OF THE HYDRAULIC FRICTION LAW FOR HINDERED FALLING OF AN INDIVIDUAL BALL AND FLUID MOTION IN GRANULAR LAYERS by M. V. Krautsov, A. M. Krautsov

“…The formulae appear in dimensionless similitude parameters that reflect correlation of the essential action forces.The presented scientific results contribute to the theory development of the applied hydromechanical phenomena and the new obtained formulae enable enhancement of the calculation procedures for structures and installations that realize the studied hydraumechanical processes. …”
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Research on Formation Identification Based on Drilling Shock and Vibration Parameters and Energy Principle by Yu Ding, Zhuoying Tan, Shuguang Li, Zizhen Miao, Huifen Qu

“…In drilling engineering, by observing the change law of drilling rig parameters, not only can the position of the special rock mass interlayer be predicted, but also the stratum structure and strength can be identified, and the prediction formula is also given. Based on the established drilling specific energy formula, the energy analysis method is used to predict the formation structure and compressive strength, and the corresponding prediction formula is given. …”
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A Novel Strategy for Screening Active Components in Cistanche tubulosa Based on Spectrum-Effect Relationship Analysis and Network Pharmacology by Xiao-Tong Liu, Dong-Mei Sun, Wen-Xin Yu, Wei-Xiong Lin, Liao-Yuan Liu, Yu Zeng

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Long-distance N-partite information for fermionic CFTs by César A. Agón, Pablo Bueno, Guido van der Velde

“…The generalization of our result to the N-partite information (for arbitrary N) is also discussed. …”
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Small emission sources in aggregate disproportionately account for a large majority of total methane emissions from the US oil and gas sector by J. P. Williams, J. P. Williams, M. Omara, M. Omara, A. Himmelberger, D. Zavala-Araiza, K. MacKay, K. MacKay, J. Benmergui, J. Benmergui, J. Benmergui, M. Sargent, S. C. Wofsy, S. P. Hamburg, S. P. Hamburg, R. Gautam, R. Gautam

“…We find that of the total 14.6 (12.7–16.8) <span class="inline-formula">Tg yr⁻¹</span> oil–gas methane emissions in the CONUS for the year 2021, 70 % (95 % confidence intervals: 61 %–81 %) originate from facilities emitting <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M2" display="inline" overflow="scroll" dspmath="mathml"><mrow><mo>&lt;</mo><mn mathvariant="normal">100</mn><mspace width="0.125em" linebreak="nobreak"/><mrow class="unit"><mi mathvariant="normal">kg</mi><mspace linebreak="nobreak" width="0.125em"/><msup><mi mathvariant="normal">h</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="61pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="19fcbf30880ac03389a7071bd56f55a2"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="acp-25-1513-2025-ie00001.svg" width="61pt" height="15pt" src="acp-25-1513-2025-ie00001.png"/></svg:svg></span></span> and 30 % (26 %–34 %) and <span class="inline-formula">∼80 %</span> (68 %–90 %) originate from facilities emitting <span class="inline-formula">&lt;10</span> and <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M5" display="inline" overflow="scroll" dspmath="mathml"><mrow><mo>&lt;</mo><mn mathvariant="normal">200</mn><mspace linebreak="nobreak" width="0.125em"/><mrow class="unit"><mi mathvariant="normal">kg</mi><mspace linebreak="nobreak" width="0.125em"/><msup><mi mathvariant="normal">h</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="61pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="08f24a8bb4b8ec74d183291f532cf7c9"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="acp-25-1513-2025-ie00002.svg" width="61pt" height="15pt" src="acp-25-1513-2025-ie00002.png"/></svg:svg></span></span>, respectively. …”
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Application of Chitosan Composite Flocculant in Tap Water Treatment by Awa Kangama, Defang Zeng, Xu Tian, Jinfu Fang

“…In order to show the effectiveness of our optimal composite chitosan formula, we have compared our treatment results to those of the aluminum polyaluminum chloride flocculant currently used in Zonguan’s water treatment plants.…”
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