Partition function approach to non-Gaussian likelihoods: information theory and state variables for Bayesian inference by Rebecca Maria Kuntz, Heinrich von Campe, Tobias Röspel, Maximilian Philipp Herzog, Björn Malte Schäfer

“…Based on this realisation, we construct a continuous modelling of a Bayes update akin to a transition between thermodynamic ensembles. …”
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Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses by Huicheng Wang, Patricia J. Y. Wong, Yonghui Xia

“…The purpose of this paper is to obtain some sufficient conditions for the global existence of multiple positive periodic solutions of a delayed stage-structured plant-hare model with a toxin-determined functional response. Some novel estimation techniques to construct two open subsets for a priori bounds are employed.…”
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Proximal iterated function systems using cyclic Meir-Keeler contractions and an application to fractal theory by A. Sreelakshmi Unni, V. Pragadeeswarar

“…Abstract In this paper, we develop the proximal iterated function systems ( P I F S ) $(PIFS)$ using cyclic Meir-Keeler contractions and hence give an application in the fractal theory by constructing fractals using the new I F S $IFS$ . …”
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DYNAMICS OF HIGHER MENTAL FUNCTION CHANGES IN CHILDREN AND ADOLESCENTS WITH PARTIAL FORMS OF EPILEPSY IN CLINICAL REMISSION by Tinatin Yuzovna Gogberashvili, Y. V. Mikadze

“…Study aim: to study the dynamics of changes of higher mental functions in children and adolescents with partial epilepsy forms. …”
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Neural Posterior Estimation for Cataloging Astronomical Images with Spatially Varying Backgrounds and Point Spread Functions by Aakash Patel, Tianqing Zhang, Camille Avestruz, Jeffrey Regier, The LSST Dark Energy Science Collaboration

“…However, ground-based astronomical images exhibit spatially varying sky backgrounds and point spread functions (PSFs), and accounting for this variation is essential for constructing accurate catalogs of imaged light sources. …”
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Integrated functions of Pax3 and Pax7 in the regulation of proliferation, cell size and myogenic differentiation. by Charlotte A Collins, Viola F Gnocchi, Robert B White, Luisa Boldrin, Ana Perez-Ruiz, Frederic Relaix, Jennifer E Morgan, Peter S Zammit

“…Conversely, expression of dominant-negative constructs leads to slowing of cell division, a dramatic increase in cell size and altered morphology. …”
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Investigation of wave processes and rhythmic activity of the human brain using the Walsh orthogonal function system by Stepanyan, Ivan Viktorovich, Lednev, Mikhail Yuryevich

“…The purpose of this work is to study the wave processes and rhythmic activity of the brain based on multiscale parametric maps of electroencephalograms obtained as a result of algorithmic application of a system of discrete functions. Methods. For visualization, a previously developed multi-scale method for constructing parametric mappings of molecular genetic information was used, in which a set of four nucleotides is considered as a system of orthogonal Walsh functions. …”
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Functional Brain Network Disruptions in Parkinson’s Disease: Insights from Information Theory and Machine Learning by Ömer Akgüller, Mehmet Ali Balcı, Gabriela Cioca

“…Functional networks were constructed using the Nonlinear Autoregressive Distributed Lag (NARDL) model, which captures nonlinear and asymmetric dependencies between regions of interest (ROIs). …”
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Filtration and respiration of filter-feeding marine invertebrates are linked through allometric power-law functions by Hans Ulrik Riisgård, Poul S. Larsen

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Research on the Design Elements of Air Pressure Massage Cushion for Expanding the Elderly-Friendly Functions of Furniture by Changlong Yu, Wei Liu, Yi Nan Fei, Jiaqi Chen, Ziyan Hu

“…Firstly, the AHP method was used to construct the user requirements model, which clarified that safety and core functions are the core primary needs of the elderly, and structural rationality and pneumatic massage function are the core secondary needs of the elderly. …”
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Finite time pinning function projective synchronization control of complex networks with time-varying delay by Wen-tao Rong, Qiang Wei

“…A few target nodes are chosen to finish pinning function projective synchronization in a finite time by construct a time-dependent Lyapunov function. …”
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Perspectives of Physiotherapists on Immune Functioning in Oncological Rehabilitation in the Netherlands: Insights from a Qualitative Study by Anne M. S. de Hoop, Karin Jäger, Jaap J. Dronkers, Cindy Veenhof, Jelle P. Ruurda, Cyrille A. M. Krul, Raymond H. H. Pieters, Karin Valkenet

“…Emerging themes were (1) the construct ‘immune functioning’ (definition, and associations with this construct in oncology physiotherapy), (2) characteristics related to decreased immune functioning (in oncology physiotherapy), (3) negative and positive influences on immune functioning (in oncology physiotherapy), (4) tailored physiotherapy treatment, (5) treatment outcomes in oncology physiotherapy, (6) the oncology physiotherapist within cancer care, and (7) measurement and interpretation of immune functioning. …”
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A neuromorphic radial-basis-function net using magnetic bits for time series prediction by Hening Qin, Zhiqiang Liao, Hitoshi Tabata

“…Magnetic tunnel junctions (MTJs) are considered strong candidates for constructing neuromorphic systems owing to their low power consumption and high integrability. …”
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Couple of the Variational Iteration Method and Fractional-Order Legendre Functions Method for Fractional Differential Equations by Fukang Yin, Junqiang Song, Hongze Leng, Fengshun Lu

“…A new operational matrix of integration for fractional-order Legendre functions (FLFs) is first derived. Then a modified variational iteration formula which can avoid “noise terms” is constructed. …”
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The biological function and prognostic significance of ferroptosis-related genes in clear cell renal cell carcinoma by Huizhen Ye, Xiwen Wu, Gehao Liang

“…Subsequently, a model combining ferroptosis-related genes model constructed with gene data and clinical characteristics was constructed, and classified the patients into high- and low-risk groups. …”
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Critical structural and functional roles for the N-terminal insertion sequence in surfactant protein B analogs. by Frans J Walther, Alan J Waring, Jose M Hernandez-Juviel, Larry M Gordon, Zhengdong Wang, Chun-Ling Jung, Piotr Ruchala, Andrew P Clark, Wesley M Smith, Shantanu Sharma, Robert H Notter

“…Earlier structural studies with Mini-B, a disulfide-linked construct based on the N- and C-terminal regions of SP-B (i.e., approximately residues 8-25 and 63-78), confirmed that these neighboring domains are helical; moreover, Mini-B retains critical in vitro and in vivo surfactant functions of the native protein. …”
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The Exact Inequalities of Jackson–Stechkin Type and the Width Values for Some Classes of Functions in L₂ Space by M. R. Langarshoev

“…Similar averaged characteristics of function smoothness in studying the important problems in the constructive theory of functions were considered by K.V. …”
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Evolutionary Search for Polynomial Lyapunov Functions: A Genetic Programming Method for Exponential Stability Certification by Roman Pykhnivskyi, Anton Ryzhov, Andrii Sobchuk, Yurii Kravchenko

“…This paper presents a method for constructing polynomial Lyapunov functions to analyze the stability of nonlinear dynamical systems. …”
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Selected advances in nuclear mass predictions based on covariant density functional theory with continuum effects by K. Y. Zhang, C. Pan, X. H. Wu, X. Y. Qu, X. X. Lu, G. A. Sun

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Individualization of Religious Rituals and Their Healing Functions in a Mobile Society—Empirical Evidence from China by Limin Zhou, Haiyan Xing

“…These qualities enable rituals to fulfill a broader range of healing functions. Rituals not only had a direct impact on anxiety relief, especially health and class anxiety, but also had a beneficial effect on adjustment of individual goal or behavior and social inclusion.…”
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