Four-loop splitting functions in QCD – the gluon-gluon case – by G. Falcioni, F. Herzog, S. Moch, A. Pelloni, A. Vogt

“…We have computed the even-N moments N≤20 of the gluon-gluon splitting function Pgg at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. …”
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The Approximate Function of Speech in the Regulation of the Joint Activity of Preschool Children by Smirnova Ya.K.

“…To illustrate the approximate role of speech in regulating the joint activity of preschoolers, Structural Equations (SEM) modeling was applied. A model is constructed that reflects the combined functional links of the regulation of the joint activity of preschool children. …”
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A callus transformation system for gene functional studies in soybean by Kun XU, Xiao-mei ZHANG, Cheng-ming FAN, Fu-lu CHEN, Jin-long ZHU, Shi-long ZHANG, Qing-shan CHEN, Yong-fu FU

“…We also evaluate the plasticity of this system with soybean varieties, different vector constructs, and various Agrobacterium strains. The results indicated that the callus transformation system is efficient and adaptable for gene functional investigation in soybean genotype-, vector-, and Agrobacterium strain-independent modes. …”
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Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions by Fuchen Zhang

“…Furthermore, we investigate the global exponential attractive set of this system via the Lyapunov function method. The rate of the trajectories going from the exterior of the globally exponential attractive set to the interior of the globally exponential attractive set is also obtained for all the positive parameters values a,b,c. …”
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Not All Fluctuations Are Created Equal: Spontaneous Variations in Thermodynamic Function by James P. Crutchfield, Cina Aghamohammadi

“…In addition to constructing the distribution of functional modalities, one immediate consequence is a cautionary lesson: ascribing a single, unique functional modality to a thermodynamic system, especially one on the nanoscale, can be misleading, likely masking an array of simultaneous, parallel thermodynamic transformations that together may also be functional. …”
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Measurement of Health-Related Quality of Life in Patients with Functional Dyspepsia by Ibnu Fajariyadi Hantoro, Ari Fahrial Syam

“…Health-related quality of life (HRQOL) is a multidimensional construct comprising at least three broad domains—physical, psychological, and social functioning—which can all be affected by a disease and its treatment. …”
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Heterocycle-based dynamic covalent chemistry for dynamic functional materials by Zeyu Ma, Siyu Pan, Yang Yang, Yuan Zeng, Bo Wang, Yen Wei, Lei Tao

“…Although dynamic covalent chemistry can construct dynamic polymer networks, it rarely introduces other functions into polymers, which limits the development of dynamic functional materials. …”
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Measurement of Health-Related Quality of Life in Patients with Functional Dyspepsia by Ibnu Fajariyadi Hantoro, Ari Fahrial Syam

“…Health-related quality of life (HRQOL) is a multidimensional construct comprising at least three broad domains—physical, psychological, and social functioning—which can all be affected by a disease and its treatment. …”
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Analysis of a Heroin Epidemic Model with Saturated Treatment Function by Isaac Mwangi Wangari, Lewi Stone

“…However, in the presence of backward bifurcations, such Lyapunov functions may not exist or may be difficult to construct. …”
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Process Industry Undergoing Electrification: New Challenges in Functional Safety by Angela Lotti, Diego Maporti, Martin Baumgaertl, Paolo Mocellin, Gianluca Pauletto

“…It was found that the Safe Torque Off (STO) function, commonly used in inverters, could provide a reliable and compact method for safely powering off thyristors. …”
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Probability distribution function of the upper equatorial Pacific current speeds by Peter C. Chu

“…The probability distribution function (PDF) of the upper (0–50 m) tropical Pacific current speeds (w), constructed from hourly ADCP data (1990–2007) at six stations for the Tropical Atmosphere Ocean project, satisfies the two‐parameter Weibull distribution reasonably well with different characteristics between El Nino and La Nina events: In the western Pacific, the PDF of w has a larger peakedness during the La Nina events than during the El Nino events; and vice versa in the eastern Pacific. …”
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Metaphor as Tool for Implementation of Recreational Function in Information Television Discourse by M. A. Gladko

“…The features of the implementation of the recreational function through metaphorical vocabulary in the information television discourse are analyzed. …”
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Functions of Social and Cultural Activities of Culture Institutions as Social Centers by M. S. Yakushkina

“…The results of the analysis of functions of social and cultural activities of culture institutions as social centers are presented. …”
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Boundedness of Variance Functions of Natural Exponential Families with Unbounded Support by Shaul K. Bar-Lev

“…A second set relies on the Legendre duality, requiring a uniform positive lower bound on the second derivative of the generating function, which likewise ensures a bounded VF. The third set starts from the standard normal distribution and constructs an explicit sequence of NEFs whose Laplace transforms and VFs remain bounded. …”
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ESTIMATING CROP PRODUCTION FUNCTION FOR SOME CROPS AT MOSUL AREA by Eman Hazim Sheet

“…Crop production function for some crops in Mosul area are estimated. …”
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FUNCTIONING YOUTH EDUCATIONAL CENTERS IN THE TIME OF THE COVID-19 PANDEMIC by Mirosław Mielczarek

“…The second part of the research, of a qualitative nature, was carried out using the qualitative content analysis method, for which an original tool was constructed. The research showed that youth educational centers had certain problems related to their functioning during the coronavirus pandemic. …”
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LIGHTS. The extended point spread functions of the LIGHTS survey at the LBT by Nafise Sedighi, Zahra Sharbaf, Ignacio Trujillo, Sepideh Eskandarlou, Giulia Golini, Raúl Infante-Sainz, Samane Raji, Dennis Zaritsky, Pedram Ashofteh Ardakani, Nushkia Chamba, S. Zahra Hosseini-ShahiSavandi, Richard Donnerstein, Mauro D'Onofrio, Garreth Martin, Mireia Montes, Javier Román

“…With the arrival of the next generation of ultra-deep optical imaging surveys reaching $\mu_V$ $\sim$ 30 mag/arcsec$^2$ (3$\sigma$; 10′′ $\times$ 10′′), the removal of scattered light due to the point spread function (PSF) effect remains a critical step for the scientific exploitation of the low surface brightness information contained in these data. …”
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Functional exploration of the IFT-A complex in intraflagellar transport and ciliogenesis. by Bing Zhu, Xin Zhu, Limei Wang, Yinwen Liang, Qianqian Feng, Junmin Pan

“…The IFT43 conserved domain is necessary and sufficient for the function of IFT43. IFT43 directly interacts with IFT121 and loss of IFT43 results in instability of IFT-A. …”
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Optimized window functions for spectral analysis based on digital filters by R.V. Petrosian

“…A novel approach is proposed for constructing window functions through the synthesis of Finite Impulse Response (FIR) digital filters. …”
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Nutritional and Functional Assessment of Hospitalized Elderly: Impact of Sociodemographic Variables by Emam M. M. Esmayel, Mohsen M. Eldarawy, Mohamed M. M. Hassan, Hassan Mahmoud Hassanin, Walid M. Reda Ashour, Wael Mahmoud

“…Background. This work was constructed in order to assess the nutritional and functional status in hospitalized elderly and to study the associations between them and sociodemographic variables. …”
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