Structure and function of the topsoil microbiome in Chinese terrestrial ecosystems by Yuqiang Li, Yuqiang Li, Yuqiang Li, Yulong Duan, Yulong Duan, Yulong Duan, Junbiao Zhang, Evangelos Petropoulos, Jianhua Zhao, Fasi Wu, Lilong Wang, Lilong Wang, Yun Chen, Yun Chen, Xuyang Wang, Xuyang Wang, Xuyang Wang

“…These functional gene abundances exhibit distinct, geography-driven clustering patterns, strongly correlated with eight environmental drivers (latitude, NDVI, pH, EC, SOC, TN, C:N ratio, and MAP). …”
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Domain‐Specific and Domain‐General Functional Brain Alterations in Type 2 Diabetes Mellitus: A Task‐Based and Functional Connectivity Meta‐Analysis by Valentino Marcel Tahamata, Yang‐Teng Fan, Li Wei, Yen‐Nung Lin, Roger Marcelo Martinez, Kah Kheng Goh, Yu‐Chun Chen, Chenyi Chen

“…Methods To address this, we conducted a coordinate‐level task‐based meta‐analysis of functional neuroimaging via a systematic search of Embase, PubMed, Medline, and Web of Science (December 2023), alongside task‐based and task‐free connectivity analyses using the BrainMap database. …”
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Some Remarks Concerning the General Octic Functional Equation by Yang-Hi Lee, Jaiok Roh

“…In this article, we study the stability of various forms for the general octic functional equation ∑i=099Ci−19−ifx+iy=0. We first find a special way of representing a given mapping as the sum of eight mappings. …”
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Uniform Boundedness Principle for Nonlinear Operators on Cones of Functions by Aljoša Peperko

“…We prove a uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positively homogeneous, and subadditive mappings on suitable cones of functions. The result is applicable to several classes of classically nonlinear operators.…”
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Brain functions emerge as thermal equilibrium states of the connectome by Elkaïoum M. Moutuou, Habib Benali

“…Despite significant progress in mapping and analyzing structural connectomes, the principles linking the brain's physical architecture to its functional capabilities remain elusive. …”
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Prediction of protein interactions with function in protein (de-)phosphorylation. by Aimilia-Christina Vagiona, Sofia Notopoulou, Zbyněk Zdráhal, Mariane Gonçalves-Kulik, Spyros Petrakis, Miguel A Andrade-Navarro

“…Here we explore whether this mapping contains information that would allow us to predict the function of PPIs, more specifically interactions related to post-translational modification (PTM). …”
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Stepanov-Like Asymptotical Almost Periodic Functions and an Application by Yongkun Li, Yaolu Wang, Jianglian Xiang

“…In this paper, we first study some basic properties of Stepanov-like asymptotical almost periodic functions including the completeness of the space of Stepanov-like asymptotical almost periodic functions. …”
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Phylogenetic and functional assessment of orthologs inference projects and methods. by Adrian M Altenhoff, Christophe Dessimoz

“…We systematically compared their predictions with respect to both phylogeny and function, using six different tests. This required the mapping of millions of sequences, the handling of hundreds of millions of predicted pairs of orthologs, and the computation of tens of thousands of trees. …”
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Asymptotic behavior of solutions of nonlinear functional differential equations by Jong Soo Jung, Jong Yeoul Park, Hong Jae Kang

“…Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation du(t)/dt+Au(t)+G(u)(t)?…”
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Sufficiency Criteria for q-Starlike Functions Associated with Cardioid by Saira Zainab, Ayesha Shakeel, Muhammad Imran, Nazeer Muhammad, Hira Naz, Sarfraz Nawaz Malik, Muhammad Arif

“…The primary goal of this work is to find the conditions on γ for 1+γz∂q hz/hn z ≺1+z, where hz is analytic function and is subordinated by the function which is producing cardioid domain as its image domain while mapping the open unit disk. …”
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Some Fixed-Circle Results with Different Auxiliary Functions by Elif Kaplan, Nabil Mlaiki, Nihal Taş, Salma Haque, Asma Karoui Souayah

“…Finally, an application to parametric rectified linear unit activation functions are given to show the importance of studying the fixed-circle problem.…”
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Description of global avalanche characteristics and constructions of Boolean functions by Hong-bo YUAN, Xiao-yuan YANG, Li-xian WEI, Long-fei LIU

“…Global avalanche characteristics matrix representation method starting from the expression of global avalanche characteristics was proposed and a new tool for research global avalanche characteristics was provided.According to properties of sum-of-square indicator,an odd almost optimal Boolean functions which meet savariety of properties of cryptography was constructed and hold slower sum-of-square indicator via M-M Boolean functions.It is a problem that how to construct a kind of functions satisfying GAC.There is a effecint way that modifying M-M functions with designing new mapping.…”
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Description of global avalanche characteristics and constructions of Boolean functions by Hong-bo YUAN, Xiao-yuan YANG, Li-xian WEI, Long-fei LIU

“…Global avalanche characteristics matrix representation method starting from the expression of global avalanche characteristics was proposed and a new tool for research global avalanche characteristics was provided.According to properties of sum-of-square indicator,an odd almost optimal Boolean functions which meet savariety of properties of cryptography was constructed and hold slower sum-of-square indicator via M-M Boolean functions.It is a problem that how to construct a kind of functions satisfying GAC.There is a effecint way that modifying M-M functions with designing new mapping.…”
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Growth Theorems for a Subclass of Strongly Spirallike Functions by Yan-Yan Cui, Chao-Jun Wang, Si-Feng Zhu

“…We obtain the growth results for strongly almost spirallike functions of type β and order α on the unit disk D in C by using subordination principles and the geometric properties of analytic mappings. …”
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Notes on Lipschitz Properties of Nonlinear Scalarization Functions with Applications by Fang Lu, Chun-Rong Chen

“…Various kinds of nonlinear scalarization functions play important roles in vector optimization. …”
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New Results about Quadratic Functional Equation on Semigroups by Akkaoui Ahmed, Fadli Brahim

“…In this paper, we express the solutions f : S → H of the following quadratic functional equation f(xφ(y))+f(ψ(y)x)=2f(x)+2f(y),  x,y∈S,f\left( {x\varphi \left( y \right)} \right) + f\left( {\psi \left( y \right)x} \right) = 2f\left( x \right) + 2f\left( y \right), \;\;\;\;x,y \in S, in terms of bi-additive maps and solutions of the symmetrized additive Cauchy equation. …”
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Fekete-Szegö and Hankel inequalities related to the sine function by Muhammad Ashfaq, Afis Saliu, Syed Zakar Hussain Bukhari, Issra Batool

“…Particularly, we obtain certain inequality for functions involving Poisson distribution. Furthermore, we also find the second Hankel determinant and other inequalities related to this newly defined class.…”
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Crustal Structure in Alaska From Receiver Function Analysis by Ying Zhang, Aibing Li, Hao Hu

“…Abstract New maps of crustal thickness and Vp/Vs in Alaska and western Canada were obtained using P receiver functions recorded at 198 stations from the USArray Transportable Array and the Alaska Regional Network. …”
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Relaxing the Φ-Family Auxiliary Functions and Related Results by Salvatore Sessa, Yahya Almalki, Monairah Alansari, Muhammad Usman Ali, Essam Saleh Saad Said Al-Yari

“…This article establishes the existence of fixed points and common fixed points for set-valued mappings satisfying an implicit-type contraction inequality involving a new auxiliary function in a complete metric space equipped with a binary relation. …”
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The Formation Rate and Luminosity Function of Fast Radio Bursts by J. H. Chen, X. D. Jia, X. F. Dong, F. Y. Wang

“…Using the nonrepeating FRBs from the first Canadian Hydrogen Intensity Mapping Experiment FRB catalog, we find a relatively strong luminosity evolution, and luminosity function can be fitted by a broken power-law model with a break at 1.33 × 10 ^41 erg s ^−1 . …”
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