The Radiative Transfer in Accretion Discs with Linear Plank Function: Role of Scattering Effect by Fahimeh Habibi, Maryam Samadi

“…The emergent intensity as well as other radiative quantities are analytically obtained related to the vertical structure of disc while a linear Planck function is applied. The effect of scattering on the radiative quantities is considered for two cases: (i) isothermal and (ii) temperature gradient and both cases are assumed to be in local thermodynamical equilibrium (LTE), too. …”
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Tau follows principal axes of functional and structural brain organization in Alzheimer’s disease by Julie Ottoy, Min Su Kang, Jazlynn Xiu Min Tan, Lyndon Boone, Reinder Vos de Wael, Bo-yong Park, Gleb Bezgin, Firoza Z. Lussier, Tharick A. Pascoal, Nesrine Rahmouni, Jenna Stevenson, Jaime Fernandez Arias, Joseph Therriault, Seok-Jun Hong, Bojana Stefanovic, JoAnne McLaurin, Jean-Paul Soucy, Serge Gauthier, Boris C. Bernhardt, Sandra E. Black, Pedro Rosa-Neto, Maged Goubran

“…Our work unveils a role for both functional and structural brain organization in pathology accumulation in AD, and supports subject-specific gradient space as a promising tool to map disease progression.…”
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Stochastic black-box optimization using multi-fidelity score function estimator by Atul Agrawal, Kislaya Ravi, Phaedon-Stelios Koutsourelakis, Hans-Joachim Bungartz

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Improving Neural Network Efficiency Using Piecewise Linear Approximation of Activation Functions by Pavan Reddy, Aditya Sanjay Gujral

“…However, the computational cost associated with certain activation functions, such as the hyperbolic tangent (tanh) and its gradient, can be substantial. …”
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Group Forward–Backward Orthogonal Matching Pursuit for General Convex Smooth Functions by Zhongxing Peng, Gengzhong Zheng, Wei Huang

“…The core innovations of this algorithm include (1) an integrated backward elimination process to correct earlier misidentified groups; (2) a versatile convex smooth model that generalizes previous research; (3) the strategic use of gradient information to expedite the group selection phase; and (4) a theoretical validation of its performance in terms of support set recovery, variable estimation accuracy, and objective function optimization. …”
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Variation in near‐surface soil temperature drives plant assemblage differentiation across aspect by Elizabeth G. Simpson, Ian Fraser, Hillary Woolf, William D. Pearse

“…We assessed how vascular plant functional composition and diversity varied across microenvironment to identify ecological differences in assemblages in a mountainous fieldsite in northeastern Utah, USA. …”
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Regularity for double-phase functionals with nearly linear growth and two modulating coefficients by Kim Bogi, Oh Jehan

“…In this article, we establish that the gradient of a local minimizer for the aforementioned functionals is locally Hölder continuous.…”
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Static Analysis of a Composite Box Plate with Functionally Graded Foam Core by Andrejs Kovalovs

“…In functionally graded polymer foam, mechanical properties and chemical composition vary in a prescribed direction according to a power law distribution. …”
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In situ fully vectorial tomography and pupil function retrieval of tightly focused fields by Xin Liu, Shijie Tu, Yiwen Hu, Yifan Peng, Yubing Han, Cuifang Kuang, Xu Liu, Xiang Hao

“…In this article, we develop an in situ method for reconstructing the fully vectorial information of tightly focused fields in 3D space, while simultaneously retrieving the pupil functions. Our approach encodes these fields using phase-modulated focusing and polarization-split detection, followed by decoding through an algorithm based on least-sampling matrix-based Fourier transform and analytically derived gradient. …”
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Assessment of the functioning of the photosynthetic apparatus of Olea europaea L. under freezing temperatures by Sergei Yu. Tsiupka, Valentina A. Tsiupka, Ilya V. Bulavin

“…So, the aim of the present study was to evaluate the degree of influence of low negative temperatures on the functional state of leaves of different O. europaea genotypes. …”
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Sb-PiPLU: A Novel Parametric Activation Function for Deep Learning by Ayan Mondal, Vimal K. Shrivastava, Ayan Chatterjee, Raghavendra Ramachandra

“…Common issues include the dying neuron problem, bias shift, gradient explosion, and vanishing gradients. To address these challenges, we introduce a new activation function: Softsign-based Piecewise Parametric Linear Unit (Sb-PiPLU). …”
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Structure and function of A41, a vaccinia virus chemokine binding protein. by Mohammad W Bahar, Julia C Kenyon, Mike M Putz, Nicola G A Abrescia, James E Pease, Emma L Wise, David I Stuart, Geoffrey L Smith, Jonathan M Grimes

“…The biological and structural data suggest that A41 functions by forming moderately strong (nM) interactions with certain chemokines, sufficient to interfere with chemokine-glycosaminoglycan interactions at the cell surface (microM-nM) and thereby to destroy the chemokine concentration gradient, but not strong enough to disrupt the (pM) chemokine-chemokine receptor interactions.…”
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In Vitro Screening, Domestication and Identification of Lipid-lowering Functional Lactic Acid Bacteria by Xiaochen SUN, Xiaoqian ZHANG, Lingyu LI, Yu ZHANG, Xiaoli LIU, Ying WANG

“…Objective: In order to screen Lactobacillus species with lipid-lowering function, 310 strains of the lactic acid bacteria were obtained from the source of traditional fermented foods. …”
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Interactive Effects of Climate and Large Herbivore Assemblage Drive Plant Functional Traits and Diversity by Maggie Klope, Ruby Harris-Gavin, Stephanie Copeland, Devyn Orr, Hillary S. Young

“…We used a large herbivore exclosure experiment replicated along a topo-climatic gradient to explore the interaction between climate and herbivore assemblage on community-level functional traits and the functional diversity of herbaceous plant understories. …”
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The Ball-Relaxed Gradient-Projection Algorithm for Split Feasibility Problem by Xiaochun Li, Xiaoxiao Liu, Fugen Gao

“…In this paper, we concern with the split feasibility problem (SFP) whenever the convex sets involved are composed of level sets. By applying Gradient-projection algorithm which is used to solve constrained convex minimization problem of a real valued convex function, we construct two new algorithms for the split feasibility problem and prove that both of them are convergent weakly to a solution of the feasibility problem. …”
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Functional divergence between the two cerebral hemispheres contributes to human fluid intelligence by Xinyu Liang, Junhao Luo, Qiuhui Bi, Yaya Jiang, Liyuan Yang, Deniz Vatansever, Elizabeth Jefferies, Gaolang Gong

“…In this study, we propose a framework that utilizes the functional aligned multidimensional representation space derived from hemispheric functional gradients to compute between-hemisphere distances within this space. …”
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Taxonomic, Functional, and Phylogenetic Diversity of Bats in Urban and Suburban Environments in Southern México by Miguel Briones-Salas, Gabriela E. Medina-Cruz, Cintia Natalia Martin-Regalado

“…Urbanization is one of the leading causes of habitat loss, which has increased significantly in tropical regions in recent years, leading to the loss of species, their ecological functions, and evolutionary history. To determine the effect of urbanization on the diversity of bat communities in urban and suburban environments, we analyzed the α and β taxonomic, functional, and phylogenetic diversities at four sites along urbanization gradients surrounding a rapidly expanding city (Oaxaca City) in southern Mexico. …”
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The five gradients inequality for non quadratic costs by Caillet, Thibault

“…We give a proof of the “five gradients inequality” of Optimal Transportation Theory for general costs of the form $c(x,y)=h(x-y)$ where $h$ is a $C^1$ strictly convex radially symmetric function.…”
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Inexact Version of Bregman Proximal Gradient Algorithm by S. Kabbadj

“…The Bregman Proximal Gradient (BPG) algorithm is an algorithm for minimizing the sum of two convex functions, with one being nonsmooth. …”
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Multitrophic and Multidimensional Insights into Biodiversity and Functional Trait Responses to Precipitation Changes in Alpine Grasslands by Yu Liu, Chengxiang Ding, Zhanjun Quan

“…However, the patterns and processes of multidimensional biodiversity and functional traits along environmental gradients remain insufficiently understood. …”
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