High-Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables by Hongling Xie

“…In this paper, we propose a high-order algorithm of gPC-based density estimation where SPDE driven by multivariate Gaussian random variables. Our main techniques are (1) we build a new multivariate orthogonal basis by adopting the Gauss–Schmidt orthogonalization; (2) with the newly constructed orthogonal basis in hand, we first assume the unknown function in the SPDE has the stochastic general polynomial chaos (gPC) expansion, second implement the stochastic gPC expansion for the SPDE in the multivariate Gaussian measure space, and third we obtain and numerical calculation deterministic differential equations for the coefficients of the expansion; (3) we used high-order algorithm of gPC-based for density estimation and moment estimation. …”
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Heart Rate Variability as a Marker of Disease Severity in Pulmonary Arterial Hypertension: A Prospective Cohort Study by Arun Jose, Alex D. Moseley, Manisha Das, Robert E. O'Donnell, Jean M. Elwing

“…Comparable relationships were observed between heart rate captured using HRV device and these CMR measures (RVEF coefficient −0.37, p = 0.007; coupling ratio coefficient −0.013, p = 0.016). …”
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Exploring patterns of heart rate variability in major depressive disorder: A short-term study in Jaipur, Rajasthan by Sunidhi sharma, Sudhanshu Kacker, Neha Saboo

“…Methods: This observational study was conducted at RUHS College of Medical Sciences and Associated Hospitals, Jaipur, from July 2022 to January 2023, on a major depressive disorder population of either sex in the age group of 20-40 years. Cognitive functions were assessed using a questionnaire, and AD instruments recorded heart rate variability variables (time & frequency domain) using a digital physiograph (MLT004/ST). …”
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Correlation and path analysis of interaction between snap beans yield and its components with crop management by N. Shaban

“…Results showed that fresh weight of pod/studied variant (+++0.99), fresh weight of one pod (+++0.77), fresh weight of pods/ plant (+++0.67), calcium content in bean pods (++0.57), pods number /plant (++0.51), pollen fertility (++0.44) had positive impact on yield. The partial function of the studied parameters on variability of bean yield is 98.9%. …”
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Genetic and molecular basis of abnormal BOLD signaling variability in patients with major depressive disorder after electroconvulsive therapy by Siyu Fan, Yulin Zhang, Rui Qian, Jie Hu, Hao Zheng, Wentao Dai, Yang Ji, Yue Wu, Xiaohui Xie, Si Xu, Gong-Jun Ji, Yanghua Tian, Kai Wang

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On a geometric approach to the estimation of interpolation projectors by Mikhail V. Nevskii, Alexey Y. Ukhalov

“…Here $\sigma S$ is the result of homothety of $S$ with respect to the center of gravity with coefficient $\sigma$. Let $d\geqslant n+1,$ $\varphi_1(x),\ldots,\varphi_d(x)$ be linearly independent monomials in $n$ variables, and $\varphi_1(x)\equiv 1,$ $\varphi_2(x)=x_1,\ \ldots, \varphi_{n+1}(x)=x_n.$ Put $\Pi:=$lin$(\varphi_1,\ldots,\varphi_d).$ The interpolation projector $P: C(\Omega)\to \Pi$ with a set of nodes $x^{(1)},\ldots, x^{(d)} \in \Omega$ is defined by equalities $Pf\left(x^{(j)}\right)=f\left(x^{(j)}\right).$ Denote by $\|P\|_{\Omega}$ the norm of $P$ as an operator from $C(\Omega)$ to $C(\Omega)$ . …”
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A domain free of the zeros of the partial theta function by V. Kostov

“…For each $q$ fixed, $\theta$ is an entire function of order $0$ in the variable~$x$. When $q$ is real and $q\in (0,0.3092\ldots )$, $\theta (q,.)$ is a function of the Laguerre-P\'olya class $\mathcal{L-P}I$. …”
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Orchard variable-rate spraying method integrating GNSS and wind-excited audio-conducted leaf area density by Hangxing Zhao, Hangxing Zhao, Hangxing Zhao, Shenghui Yang, Shenghui Yang, Shenghui Yang, Wenwei Li, Wenwei Li, Han Feng, Han Feng, Shijie Jiang, Shijie Jiang, Weihong Liu, Weihong Liu, Jingbin Li, Yongjun Zheng, Yongjun Zheng, Songchao Zhang

“…As a result, few fully functional variable-rate spraying systems have been developed based on this parameter.MethodsThis study presents a variable-rate spraying method that integrates global navigation satellite system (GNSS) positioning with wind-excited audio-conducted estimation of canopy leaf area density. …”
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Beyond Global Metrics: The U-Smile Method for Explainable, Interpretable, and Transparent Variable Selection in Risk Prediction Models by Katarzyna B. Kubiak, Agata Konieczna, Anna Tyranska-Fobke, Barbara Więckowska

“…Variable selection (VS) is a critical step in developing predictive binary classification (BC) models. …”
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How Can We Manage Repairing a Broken Finite Vibrating String? Solutions to the Problem I by Vladimir L. Borsch

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Monitoring of Energy Efficiency of District Heating System Facilities: Methodology for Determining the Energy Baseline by Davydenko L.V., Davydenko N.V., Davydenko V.A., Sprake D.

“…The search for models of optimal complexity was performed in six classes of basic functions. The selection of better structures of the mathematical model was realized based on the criteria for its appropriate-ness (regularity, unbiasedness criterion, Schwartz, determination coefficient) and accuracy of the forecast using the morphological criterion. …”
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Optimal tacrolimus levels for reducing CKD risk and the impact of intrapatient variability on CKD and ESRD development following liver transplantation by Soon Kyu Lee, Ho Joong Choi, Young Kyoung You, Pil Soo Sung, Seung Kew Yoon, Jeong Won Jang, Jong Young Choi

“…The tacrolimus doses and levels were recorded every 3 months, and the IPV was calculated using the coefficient of variability. The cumulative incidence rates of CKD and ESRD were calculated based on baseline kidney function at the time of LT. …”
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The impacts of different eyes, individual differences, and different time points in healthy rats on the variability of visual electrophysiological examination indicators by Hong Chen, Yu Cheng, Ke Diao, YiFan Wang, Jing An, Haijiang Zhang, RongRong Li, Dan Zhang, SuMian Cheng, Minglian Zhang, LiFei Wang

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A new method to solve multi-objective linear fractional programming problem in fuzzy stochastic environment by Ajeet Kumar, Babita Mishra

“…In this problem, the fuzzy random variables coefficient is involved as the parameters of the objective function as well as system constraints. …”
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Variable Dose-Constraints Method Based on Multiplicative Dynamical Systems for High-Precision Intensity-Modulated Radiation Therapy Planning by Omar M. Abou Al-Ola, Takeshi Kojima, Ryosei Nakada, Norihisa Obata, Kohei Hayashi, Tetsuya Yoshinaga

“…In our previous work, we proposed a dynamical systems-based approach in which dose constraints, along with beam coefficients, are treated as state variables and dynamically evolve within a continuous-time system. …”
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A Variable Selection Method Based on Fast Nondominated Sorting Genetic Algorithm for Qualitative Discrimination of Near Infrared Spectroscopy by Hubin Liu, Na Liu, Yuhui Yuan, Cihai Zhang, Longlian Zhao, Junhui Li

“…The method had two objective functions: (1) maximizing the sum of ratios of interclass variance to intraclass variance, (2) minimizing the sum of correlation coefficients between the selected variables. …”
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Functional analysis of school refusal: An exploratory study in the Indian context by Arun Singh Yadav, Kiragasur Madegowda Rajendra, Lakshmi Sravanti, John Vijay Sagar Kommu, Shekhar Seshadri, Satish Chandra Girimaji

“…The association between school refusal and these variables was examined using Cramer’s V coefficient. …”
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Functional capacity of patients with coronary artery disease at middle age by Khalida Alwan Mansour, Ali Kathum Jassem

“… Objectives: The study aims to identify the functional capacity for patients with coronary artery disease at middle age, and to find out the significant relation between functional capacity domains with variables patients gender, age, marital status, level of education, and income. …”
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A hydrothermal coupling model for permafrost subgrade considering temperature gradient and its application by Jianqing Jia, Zeqing He, Victor O. Tenorio

“…In this study, the dynamic variation of soil permeability coefficient with temperature is considered, the permeability coefficient is defined as a piecewise function with temperature as independent variable, and the hydrothermal coupling equation is established. …”
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Influence of Mismatch of Parameters of Quadrature Channels on the Work of the Adaptive Selection System for Moving Targets by S. I. Ziatdinov

“…An expression is obtained for the frequency transfer function of an adaptive passive noise suppression system with a variable cut-off zone relative to the average frequency of the spectrum of interference signals. …”
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