Theoretical understanding of gradients of spike functions as boolean functions by DongHyung Yoo, Doo Seok Jeong

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Composition of entire function and analytic functions in the unit ball with a vanished gradient by A. I. Bandura, T. M. Salo, O. B. Skaskiv

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Reshaped functional connectivity gradients in acute ischemic stroke by Cemal Koba, Joan Falcó-Roget, Alessandro Crimi

“…We found that lag correction enhanced the functional connectivity gradients most prominently in the second gradient, on which visual and somatomotor function is concentrated. …”
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Shifted Hexpo activation function: An improved vanishing gradient mitigation activation function for disease classification by Joseph Otoo, Suleman Nasiru, Irene Dekomwine Angbing

“…Activation functions (AFs) in deep learning significantly impacts model performance. …”
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Obtaining functional-gradient Ti-HA coatings by detonation spraying by Ж.Б. Сағдолдина, Д.Р. Байжан, Е.Е. Қамбаров, Қ. Төребек

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Interpolation of the Function of Two Variables with Large Gradients in the Boundary Layers by A.I. Zadorin

Subjects: “…function of two variables…”
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Interpolation Formulas for Functions with Large Gradients in the Boundary Layer and their Application by A. I. Zadorin

“…However in the case when the function has areas of large gradients, application of polynomials of Lagrange leads to essential errors. …”
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Isoperimetric and Functional Inequalities by Vladimir S. Klimov

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Polynomial Interpolation of the Function of Two Variables with Large Gradients in the Boundary Layers by A.I. Zadorin, N.A. Zadorin

Subjects: “…function of two variables…”
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Spectral Three-Term Constrained Conjugate Gradient Algorithm for Function Minimizations by Huda I. Ahmed, Rana Z. Al-Kawaz, Abbas Y. Al-Bayati

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Gradient formulae for probability functions depending on a heterogenous family of constraints by van Ackooij, Wim, Pérez-Aros, Pedro

“…Our framework then allows us to establish formulae for the generalized subdifferential of the probability function itself. In particular we formally establish a (sub)-gradient formulæ for probability functions depending on a family of non-convex quadratic inequalities. …”
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Brain Functional Connectome Gradients Analysis Study of Chronic Back Pain by YANG Junchao, YIN Xiaolong, HUANG Li, JIANG Feng, LI Zuanfang, LIANG Shengxiang

“…The differences in the gradient scores of the functional networks between the two groups were analyzed statistically. …”
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Functional differentiation of industrial hemp rhizosphere microbiome along environmental gradients by Jiayang Li, Jiayang Li, Jiayang Li, Hong Zhang, Tuhong Wang, Tuhong Wang, Liya Peng, Kecheng Huang, Xiaoyu Tang, Wenting Li, Zhecheng Xu, Chao Li, Fengming Chen, Huajiao Qiu, Huajiao Qiu, Jianping Xu, Yi Cheng

“…However, the mechanisms by which these microbial communities respond to environmental gradients remain unclear. This study aimed to explore how bacterial and fungal communities in the bulk soil and rhizosphere of industrial hemp respond to environmental gradients across diverse climatic zones. …”
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Aberrant functional connectome gradient and its neurotransmitter basis in Parkinson's disease by Tao Guo, Cheng Zhou, Jiaqi Wen, Jingjing Wu, Yaping Yan, Jianmei Qin, Min Xuan, Haoting Wu, Chenqing Wu, Jingwen Chen, Sijia Tan, Xiaojie Duanmu, Baorong Zhang, Xiaojun Xu, Minming Zhang, Xiaojun Guan

“…Connectome studies have suggested a primary-to-transmodal gradient and a primary-to-primary gradient in functional brain networks, supporting the spectrum from sensation to cognition. …”
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A New Conjugate Gradient Method for Finding the Minimum of Non Linear Functions by Abbas Al-Bayati, Basim Hassan

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Analysis of formulas for numerical differentiation of functions with large gradients on a Bakhvalov mesh by N.A. Zadorin

Subjects: “…function of one variable…”
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Dung beetle community and functions along a habitat-disturbance gradient in the Amazon: a rapid assessment of ecological functions associated to biodiversity. by Rodrigo F Braga, Vanesca Korasaki, Ellen Andresen, Julio Louzada

“…We studied dung beetle community attributes and functions in five land-use systems representing a disturbance gradient in the Brazilian Amazon: primary forest, secondary forest, agroforestry, agriculture and pasture. …”
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The changes in brain network functional gradients and dynamic functional connectivity in SeLECTS patients revealing disruptive and compensatory mechanisms in brain networks by Linfeng Song, Guangrong Wu, Jiaren Zhang, Benqing Liu, Xu Chen, Junjun Wang, Xiaoyu Gu, Binlin Tian, Yongzhe Li, Anjie Zhang, Xuejin Ma, Lin Jiang

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Quantifying the functional composition and potential resilience hotspots across a large latitudinal and environmental gradient in South American forests by Xiongjie Deng, Danny E. Carvajal, Rocío Urrutia-Jalabert, Waira S. Machida, Alice Rosen, Huanyuan Zhang-Zheng, David Galbraith, Sandra Díaz, Yadvinder Malhi, Jesús Aguirre-Gutiérrez

“…We identified hydrological stress, soil properties, and topography as key drivers of plant functional trait distribution and variation. Further, hydrological stress and soil properties were key determinants of functional diversity and redundancy across a large latitudinal gradient. …”
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Nutrient inputs shape ecosystem functioning gradients along the pristine, upper Neretva River, Bosnia and Herzegovina by Rubén Del Campo, Barbara Jechsmayr, Veronika Settles, Melanie Ströder, Gabriel Singer

“…As environmental conditions in rivers change along their longitudinal continuum, so does functioning. Sometimes, these changes do not follow smooth gradients but rather great discontinuities. …”
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