The Range of the Spectral Projection Associated with the Dunkl Laplacian by Salem Ben Said, Hatem Mejjaoli

“…For s∈ℝ, denote by Pksf the “projection” of a function f in Dℝd into the eigenspaces of the Dunkl Laplacian Δk corresponding to the eigenvalue −s2. The parameter k comes from Dunkl’s theory of differential-difference operators. …”
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Polarizabilities from kaon Compton scattering by Dominik Stamen, Jan Luca Dammann, Yannis Korte, Bastian Kubis

“…We propose a method to extend the energy range serviceable for this purpose by reconstructing the $$K^*(892)$$ K ∗ ( 892 ) contribution model-independently from its $$K\pi $$ K π intermediate state, using dispersion theory. …”
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Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules by Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra

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Propagation pattern of cracks around a shale borehole via the cohesive element method by Dexu Sun

“…Therefore, in combination with rock mechanics theory and fracture mechanics theory, the cohesive element method is adopted to establish a numerical model for differential crack propagation due to bottomhole pressure on the basis of the B-K fracture criterion. …”
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A Dynamic Stiffness Element for Free Vibration Analysis of Delaminated Layered Beams by Nicholas H. Erdelyi, Seyed M. Hashemi

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Dubovsky’s Class of Mathematical Models for Describing Economic Cycles with Heredity Effects by Danil Makarov, Roman Parovik, Zafar Rakhmonov

“…The article is devoted to the study of economic cycles and crises, which are studied within the framework of the theory of N.D. Kondratiev long waves (K-waves). The object of the study is the fractional mathematical models of S. …”
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An improved method to determine basic probability assignment with interval number and its application in classification by Bowen Qin, Fuyuan Xiao

“…However, how to determine basic probability assignment, which is the first step in evidence theory, is still an open issue. In this article, a new method integrating interval number theory and k -means++ cluster method is proposed to determine basic probability assignment. …”
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New Types of μ-Proximity Spaces and Their Applications by Rodyna A. Hosny, Tareq M. Al-shami, Abdelwaheb Mhemdi

“…Near set theory supplies a major basis for the perception, differentiation, and classification of elements in classes that depend on their closeness, either spatially or descriptively. …”
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Human development I: Twenty Fundamental Problems of Biology, Medicine, and Neuro-Psychology Related to Biological Information by Tyge Dahl Hermansen, Søren Ventegodt, Erik Rald, Birgitte Clausen, Maj Lyck Nielsen, Joav Merrick

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Psychological Health Factors in Young and Elderly People by T.N. Reznikova, I.V. Chikhachev, S.E. Abbasova, N.A. Seliverstova

“… <p>The article examines the problem of preserving and maintaining human health from the standpoint of the biopsychosocial approach, the theory of functional systems by P.K. Anokhin, the theory of development and functioning of higher mental functions, as well as the concept of cerebral information fields and the psychological information fields of the brain formed on their basis. …”
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Analyzing power errors in the optical pumping system of atomic spin comagnetometers by Jiale QUAN, Ye LIU, Longyan MA, Wenfeng FAN, Wei QUAN

“…To address this gap, this study simplified the nonlinear dynamics of the K–Rb–21Ne SERF comagnetometer into a linear time-invariant system using Taylor expansion. …”
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