Explicit Bounds and Sharp Results for the Composition Operators Preserving the Exponential Class by Fernando Farroni, Raffaella Giova

“…The A∞ property of Jf is the counterpart in higher dimensions of the area distortion formula due to Astala in the plane and it is the key tool to prove the sharpness of our results.…”
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About the confusion-matrix-based assessment of the results of imbalanced data classification by V. V. Starovoitov, Yu. I. Golub

“…If the data is imbalanced, the accuracy calculated from the confusion matrix with normalized values will usually have lower values, since it is calculated by a different formula. The same conclusion is made for most of the classification accuracy functions used in the literature for estimation of classification results. …”
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Shen Shuai II recipe improves renal hypoxia to attenuate renal injury in 5/6 renal ablation/infarction rats and effect evaluation using blood oxygenation level-dependent functional... by Yizeng Xu, Fang Lu, Meng Wang, Lingchen Wang, Chaoyang Ye, Shuohui Yang, Chen Wang

“…Shen Shuai II Recipe (SSR) has shown good results in the treatment of CKD as a common herbal formula. …”
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The Fast and Accurate Method of Tuning of SISO Controllers Using Seven Performance Indexes by Stopakevych A.О., Stopakevych О.A.

“…The first task is to create formulas and procedures for accurate calculation of performance indicators of control systems. …”
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An Application of Modified S-CLSVOF Method to Kelvin-Helmholtz Instability and Comparison with Theoretical Result by Naoki Shimada, Mako Sato, Yuta Yaegashi, Thorsten Koch, Thi Thai Le

“…However, waves are splashed into droplets in the condition of [Formula: see text] This result agrees with the analysis by Funada and Joseph (2001). …”
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Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices by Abdul Shakoor, Hu Yang, Ilyas Ali

“…We give a formula of (P+Q)D under the conditions P2Q+QPQ=0, P3Q=0, and PQPQ=0. …”
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Multivalued Impulsive SDEs Driven by G-Brownian Noise: Periodic Averaging Result by Mahmoud Abouagwa, Anas D. Khalaf, Nadia Gul, Sultan Alyobi, Al-Sharef Mohamed

“…Finally, we bring a couple of two examples to enhance our theoretical results.…”
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Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions by Sanjay Bhatter, Nishant -, Sunil Purohit

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Concept results as a vector of effect / Концепция результанты как вектор эффекта by JELESCU Petru, JELESCU Dumitru

“…The article provides a formula for the mathematical calculus of the resultant (R). …”
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Tracking Control of Wave-Adaptive Modular Unmanned Surface Vehicle Using Time-Delay Zeroing Neural Network by Pengfei Guo, Wenyue Zhang, Zheng Li, Zheng Zheng

“…These formulas are used to approximate the second and third derivatives of smooth functions. …”
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Organisational, legal and financial bases for scientific activity in higher education institutions of the Ministry of Internal Affairs of Ukraine: problems and solutions based on m... by S. O. Serbenyuk, L. S. Nadopta

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A Predictive Model for Damage Assessment and Deformation in Blast Walls Resulted by Hydrocarbon Explosions by Majid Aleyaasin

“…In this paper, a new method is developed to find the ductility ratio in blast walls, resulted by hydrocarbon explosions. In this method, only the explosion energy and distance from the centre of explosion are required to find the damage by using simple predictive models in terms of empirical-type formulas. …”
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Mathematical model of the 9th version Universal modeling method: features and results of identification by A. A. Drozdov, Yu. B. Galerkin, O. A. Solovyeva, K. V. Soldatova, A. A. Ucehovscy

“…The applicability boundary of the new model is expanded to a range of diffusers of low consumption stages with a relative width of up to 0,006. The resulting mathematical model is identified by the test results of two family model stages and plant tests of industrial compressors…”
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Modeling Marine Geoid in the China Seas and Its Adjacent Ocean Based on Satellite Altimeter-Derived Gravity Anomaly Model by Huiying Zhang, Xin Liu, Zhen Li, Xiaotao Chang, Heping Sun, Hui Li, Jinyun Guo

“…Subsequently, the XGM2019e_2159 is removed from the SDUST2022 GRA marine gravity anomaly model, and the residual geoid height is computed utilizing the Stokes formula. Then, the geoid height of the corresponding reference field is restored. …”
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Tropical upper-tropospheric trends in ozone and carbon monoxide (2005–2020): observational and model results by L. Froidevaux, D. E. Kinnison, B. Gaubert, M. J. Schwartz, N. J. Livesey, W. G. Read, C. G. Bardeen, J. R. Ziemke, J. R. Ziemke, R. A. Fuller

“…The MLS zonal mean O<span class="inline-formula">₃</span> UT trend for 20° S–20° N is <span class="inline-formula">+</span>0.39 <span class="inline-formula">±</span> 0.28 % yr<span class="inline-formula">⁻¹</span>; the WACCM and CAM-chem simulations yield similar trends, although the WACCM result is somewhat smaller. …”
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Extremal Results on <i>ℓ</i>-Connected Graphs or Pancyclic Graphs Based on Wiener-Type Indices by Jing Zeng, Hechao Liu, Lihua You

“…A graph of order <i>n</i> is called pancyclic if it contains a cycle of length <i>y</i> for every <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3</mn><mo>≤</mo><mi>y</mi><mo>≤</mo><mi>n</mi></mrow></semantics></math></inline-formula>. …”
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Distinctive dust weather intensities in North China resulted from two types of atmospheric circulation anomalies by Q. Huo, Q. Huo, Z. Yin, Z. Yin, Z. Yin, X. Ma, X. Ma, H. Wang, H. Wang, H. Wang

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The concept of creating an electric field strength meter with the determination of the error of the measurement result and the distance to the field source by S. V. Biryukov

“…The obtained values of the relative distances made it possible to determine the error of the measurement result and the distance from the center of the sensor to the field source using known formulas. …”
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Results of biochemical and histological studies after restoration of bone defects using cellular technologies in dental patients by А.V. Bambuliak, N.B. Kuzniak, L.Y. Lopushniak, І.І. Dronyk, О.О. Myhal

“…Oral fluid mineralization index (MI) of patients was calculated according to the ratio of enzymatic activity of alkaline phosphatase (ALP) to acid phosphatase (AP) according to the formula: MI=ALP/AP. Histological material was taken at the stage of installation of a dental implant. …”
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Defaulting from antiretroviral therapy and associated factors among HIV/AIDS patients in public hospitals of Eastern Zone, Tigray, Ethiopia, 2020: a cross-sectional study by Tsegu Hailu Gebru, Haftea Hagos Mekonen

“…Conclusions The results of the study indicated that defaulting was high. …”
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