On a de Branges space related to the Riemann zeta function by Svetlana A. Badonova

“…Kapustin a de Branges space, whose element is an expression containing the Riemann xi function, was constructed; the canonical system with a diagonal Hamiltonian and the generalized Fourier transform corresponding to the space were found. …”
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New modification of the Post Widder operators preserving exponential functions by Melek Sofyalıoğlu Aksoy

“…After that, numerical results are obtained to confirm the theoretical results. Finally, new constructed operators are compared with modified Post-Widder operators.…”
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Newton-type Inequalities for Fractional Integrals by Various Function Classes by Hüseyin Budak, Tingsong Du, Fatih Hezenci

“…Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals. In addition, we construct some fractional Newton-type inequalities for Lipschitzian functions. …”
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Functional hydrogel empowering 3D printing titanium alloys by Weimin Zhang, Jiaxin Zhang, He Liu, Yang Liu, Xiao Sheng, Sixing Zhou, Tiansen Pei, Chen Li, Jincheng Wang

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Embedding delay‐based physical unclonable functions in networks‐on‐chip by Prasad Nagabhushanamgari, Vikash Sehwag, Indrajit Chakrabarti, Santanu Chattopadhyay

“…Abstract Physical unclonable functions (PUFs) are emerging as security primitives by exploiting the intrinsic device features in various hardware security solutions. …”
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Matrix weights and a maximal function with exponent 3/2 by Treil Sergei, Volberg Alexander

“…We build an example of a simple sparse operator for which its norm with scalar A 2 weight has linear estimate in [w]A2 ${\left[w\right]}_{{A}_{2}}$ , but whose norm in matrix setting grows at least as [W]A23/2 ${\left[W\right]}_{{\mathbf{A}}_{2}}^{3/2}$ for specially constructed weights from A 2. We also demonstrate a matrix weighted maximal function with the same estimate from below.…”
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Investigating the validity and reliability of the functional movement screening tool in tennis by Sam Kazemi, Mohammad Hossein Alizadeh, Hassan Daneshmandi

“…Abstract Background Recently, researchers use functional movement tests and especially the functional movement screen (FMS) as a screening tool to prevent injuries in sports. …”
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Design keyed Hash function based on couple chaotic system by WEI Peng-cheng1, ZHANG Wei 1, 2, LIAO Xiao-feng 1

“…Analyzed the chaotic and cryptographic properties of a piecewise nonlinear map, a couple chaotic digital sys-tem was proposed based on perturbing which used the piecewise nonlinear, then a new approach to construct keyed Hash function was presented. The approach used the initial value of the couple chaotic system as the secret key and the coarse-graining trajectory as Hash values. …”
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A functional treatment of small instanton-induced axion potentials by Pablo Sesma

“…Abstract We present a functional method to perform complete one-instanton calculations of the axion potential. …”
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Dual Szegö pairs of sequences of rational matrix-valued functions by Andreas Lasarow

“…We study certain sequences of rational matrix-valued functions with poles outside the unit circle. These sequences are recursively constructed based on a sequence of complex numbers with norm less than one and a sequence of strictly contractive matrices. …”
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Validation of functional activity index in patients with rheumatoid arthritis (RAS) by V. N. Amirdjanova, O. M. Folomeeva, S. F. Erdes

“…Validity assessment was performed on 454 pts with definite RA,mainly female (85,2%) with mean age 51,3±11,3 years, mean disease duration was 9,1±8,5 years, 59,7% of pts were seropositive on rheumatoid factor, most pts had moderate or high inflammatory activity of the disease (95,6%), II or III radiological stage ( 44,7% and 27,8% respectively, II (53,5%) or III (31,8%) functional class. Constructive validity of the index was assessed by calculation of coefficients of correlation with “external criteria”. …”
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A New Approach to the Method of Lyapunov Functionals and Its Applications by Yunguo Jin, Shouming Zhong

“…We show some results which can replace the graph theory used to construct global Lyapunov functions in some coupled systems of differential equations. …”
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A pair of biorthogonal polynomials for the Szegö-Hermite weight function by N. K. Thakare, M. C. Madhekar

“…A pair of polynomial sequences {Snμ(x;k)} and {Tmμ(x;k)} where Snμ(x;k) is of degree n in xk and Tmμ(x;k) is of degree m in x, is constructed. It is shown that this pair is biorthogonal with respect to the Szegö-Hermite weight function |x|2μexp(−x2), (μ>−1/2) over the interval (−∞,∞) in the sense that∫−∞∞|x|2μexp(−x2)Snμ(x;k)Tmμ(x;k)dx=0,   ifm≠n                    ≠0,   ifm=nwhere m,n=0,1,2,… and k is an odd positive integer.…”
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q-series, elliptic curves, and odd values of the partition function by Nicholas Eriksson

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Searching for Slip Surface of Disturbed Slope Based on Logistic Function by Yalin Zhu, Xuefeng Peng, Kun Tan, Ming Shi, Yin Hong, Yixian Wang

“…The related parameters (M, A, and K) are derived by the threshold, symmetry, and precision control of its function. Logistic function constructs the slip surface and compares it with the broken-line slip surface; the numerical results show that the slip points on the two slip surfaces are consistent, indicating that the logistic function fits the curve correctly; the logistic function smooths the original polyline curve, which facilitates solving the direction vector of the curve.…”
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A version of the penalty method with approximation of the epigraphs of auxiliary functions by I.Ya. Zabotin, K.E. Kazaeva

“…The method uses auxiliary functions that are built on the general form of the penalty functions. …”
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Defining Feasible Joint and Geometric Workspaces Through Boundary Functions by Jorge A. Lizarraga, Dulce M. Navarro, Marcela E. Mata-Romero, Luis F. Luque-Vega, Luis Enrique González-Jiménez, Rocío Carrasco-Navarro, Salvador Castro-Tapia, Héctor A. Guerrero-Osuna, Emmanuel Lopez-Neri

“…Instead of relying on traditional numerical approaches that require extensive sampling and collision detection, the proposed method constructs a continuous boundary by identifying the key intersection points of boundary functions. …”
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Fingerprint Image Denoising Method Based on Improved Threshold Function by ZHANG Zhao-ru, DENG Cai-xia, YUE Xin-hua

“…In order to make fingerprint identification technology more accurate and efficient, an improved threshold function is proposed to denoise fingerprint images.First, according to the characteristics of fingerprint images, an improved threshold function is constructed.Compared with traditional soft and hard threshold functions and some existing improved threshold functions, this threshold function has good adjustability, and is adjustable everywhere. …”
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Four-loop splitting functions in QCD – the gluon-gluon case – by G. Falcioni, F. Herzog, S. Moch, A. Pelloni, A. Vogt

“…Our results, derived analytically for a general compact simple gauge group, agree with all results obtained for this function so far, in particular with the lowest five moments obtained via structure functions in deep-inelastic scattering. …”
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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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