EESTIMATES OF BEST APPROXIMATIONS OF FUNCTIONS WITH LOGARITHMIC SMOOTHNESS IN THE LORENTZ SPACE WITH ANISOTROPIC NORM by Gabdolla Akishev

“…In this paper, we consider the anisotropic Lorentz space \(L_{\bar{p}, \bar\theta}^{*}(\mathbb{I}^{m})\) of periodic functions of \(m\) variables. The Besov space \(B_{\bar{p}, \bar\theta}^{(0, \alpha, \tau)}\) of functions with logarithmic smoothness is defined. …”
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Approximate Solution of Mixed Problem for Telegrapher Equation with Homogeneous Boundary Conditions of First Kind Using Special Functions by P. G. Lasy, I. N. Meleshko

“…All the indicated parts of the polylogarithms are periodic functions that have polynomial expressions of the corresponding degrees on an interval of length in the period, which makes it possible to obtain a solution to the problem in elementary functions. …”
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High-Resolution Flood Monitoring Based on Advanced Statistical Modeling of Sentinel-1 Multi-Temporal Stacks by Rosa Colacicco, Alberto Refice, Raffaele Nutricato, Fabio Bovenga, Giacomo Caporusso, Annarita D’Addabbo, Marco La Salandra, Francesco Paolo Lovergine, Davide Oscar Nitti, Domenico Capolongo

“…We found that non-parametric time series modelling improves the performances of Bayesian probabilistic inference with respect to state-of-the-art methodologies using, e.g., parametric fits based on periodic functions, by both reducing false detections and increasing true positives. …”
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Multivariate analysis of milk metabolite measures shows potential for deriving new resilience phenotypes by M. Ithurbide, H. Wang, T. Fassier, Z. Li, J. Pires, T. Larsen, J. Cao, R. Rupp, N.C. Friggens

“…We measured the concentration of 13 milk metabolites and the activity of 1 enzyme during prechallenge, challenge, and recovery periods. Functional principal component analysis summarized the trends of milk metabolite concentration over time efficiently without preliminary assumptions concerning the shapes of the curves. …”
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Macrobenthic diversity response to the atlantification of the Arctic Ocean (Fram Strait, 79°N) – A taxonomic and functional trait approach by Barbara Górska, Sławomira Gromisz, Joanna Legeżyńska, Thomas Soltwedel, Maria Włodarska-Kowalczuk

“…At all study sites, macrofauna functional diversity increased after the warm period. Functional trait composition changed significantly along the bathymetric transect. …”
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InSAR Modeling and Deformation Prediction for Salt Solution Mining Using a Novel CT-PIM Function by Xuemin Xing, Tengfei Zhang, Lifu Chen, Zefa Yang, Xiangbin Liu, Wei Peng, Zhihui Yuan

“…However, traditional mathematical empirical models (such as linear model or linear model combined with periodical function) are mostly used in InSAR approaches, ignoring the underground mining mechanisms, which may limit the accuracy of the retrieved deformations. …”
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Hermite Functions and Fourier Series by Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo

“…These operators are linear combinations of some multiplication- and differentiation-like operators that, when applied to periodic functions, preserve periodicity. Finally, we have constructed riggings for both <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>L</mi><mn>2</mn></msup><mrow><mo stretchy="false">(</mo><mi mathvariant="script">C</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>l</mi><mn>2</mn></msub><mrow><mo stretchy="false">(</mo><mi mathvariant="double-struck">Z</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula>, so that all the mentioned operators are continuous.…”
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Almost Periodic Solutions of Abstract Impulsive Volterra Integro-Differential Inclusions by Wei-Shih Du, Marko Kostić, Daniel Velinov

“…In this paper, we introduce and systematically analyze the classes of (pre-)<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">B</mi><mo>,</mo><mi>ρ</mi><mo>,</mo><mrow><mo>(</mo><msub><mi>t</mi><mi>k</mi></msub><mo>)</mo></mrow><mo>)</mo></mrow></semantics></math></inline-formula>-piecewise continuous almost periodic functions and (pre-)<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">B</mi><mo>,</mo><mi>ρ</mi><mo>,</mo><mrow><mo>(</mo><msub><mi>t</mi><mi>k</mi></msub><mo>)</mo></mrow><mo>)</mo></mrow></semantics></math></inline-formula>-piecewise continuous uniformly recurrent functions with values in complex Banach spaces. …”
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Dynamics of solutions of nonlinear functional differential equation of parabolic type by Kornuta, Anshelika Alexandrovna, Lukianenko , V. A.

“…Purpose of this work is to study the initial-boundary value problem for a parabolic functional-differential equation in an annular region, which describes the dynamics of phase modulation of a light wave passing through a thin layer of a nonlinear Kerr-type medium in an optical system with a feedback loop, with a rotation transformation (corresponds the involution operator) and the Neumann conditions on the boundary in the class of periodic functions. A more detailed study is made of spatially inhomogeneous stationary solutions bifurcating from a spatially homogeneous stationary solution as a result of a bifurcation of the &ldquo;fork&rdquo; type and time-periodic solutions of the &ldquo;traveling wave&rdquo; type. …”
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Time-Inhomogeneous Feller-Type Diffusion Process in Population Dynamics by Virginia Giorno, Amelia G. Nobile

“…Various numerical computations are performed to illustrate the role played by the periodic functions.…”
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Comparative study of internal fixation of diaphyseal fractures of both bones of the forearm in adults between intramedullary nailing and plate osteosynthesis by Atin Biswas, Kanchan Kumar Sabui, Anindya Basu, Prasun Mandal

“…Patients were followed up at 4th week, 12th week, and 24th week post-operative period. Functional outcome was measured at the end of 24th week based on the Clinical and Radiological parameters by Anderson et al., Score, Grace-Eversman Score, and Disabilities of the Arm, Shoulder and Hand (DASH) Score. …”
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النتائج الوظيفية لكسور فوق اللقمتين العضديتين من النمط الباسط عند الأطفال دراسة مقارنة بين نتائج التثبيت بأسياخ عبر الجلد والرد المفتوح... by علي يوسف

“…The percutaneous pinning stills an easy way in understanding and application and gives good results for long period functionally and cosmetically , and this way has no important complications which can be avoided .…”
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النتائج الوظيفية لكسور فوق اللقمتين العضديتين من النمط الباسط عند الأطفال دراسة مقارنة بين نتائج التثبيت بأسياخ عبر الجلد والرد المفتوح... by علي يوسف

“…The percutaneous pinning stills an easy way in understanding and application and gives good results for long period functionally and cosmetically , and this way has no important complications which can be avoided .…”
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Changes of brain activation and networks in patients with spinal cord injury based on functional near⁃infrared spectroscopy by SUN Zhi⁃fang, LI Xing⁃lou, SUN Wei⁃zhen, LUO Mei⁃ling, WANG Yong⁃hui

“…Methods A total of 20 patients with SCI were selected from Qilu Hospital of Shandong University from January to October 2021, including 8 patients with simple lower extremity involvement (paraplegia group) and 12 patients with all limbs involvement (tetraplegia group), and 10 healthy controls with matched baseline data with the SCI group were included in the same period. Functional near⁃infrared spectroscopy (fNIRS) was used to collect the data of cerebral oxyhemoglobin (HbO2) in the bilateral prefrontal lobe (LPFC/RPFC), motor cortex (LMC/RMC) and occipital lobe (LOL/ROL). …”
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Doss <i>ρ</i>-Almost Periodic Type Functions in <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-for... by Marko Kostić, Wei-Shih Du, Vladimir E. Fedorov

“…We examine connections of Doss <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>-almost periodic type functions with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ω</mi><mo>,</mo><mi>c</mi><mo>)</mo></mrow></semantics></math></inline-formula>-periodic functions and Weyl-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>-almost periodic type functions in the multi-dimensional setting. …”
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