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  1. 1001

    Generalized Steffensen Type Inequalities Involving Convex Functions by Josip Pečarić, Ksenija Smoljak Kalamir

    Published 2014-01-01
    “…Moreover, linear functionals from the difference of the right- and left-hand side of the obtained generalized inequalities are constructed and new families of exponentially convex functions related to constructed functionals are derived.…”
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    Article
  2. 1002

    The ego-function and sexuality in male and female patients with epilepsy by V. G. Sosnina, D. M. Saraykin, L. V. Lipatova

    Published 2018-08-01
    “…Aim: to study the sexuality aspects of the “Ego-function” in male and female patients with epilepsy.Material and methods. …”
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    Article
  3. 1003

    The Functional Assessment of Balance in Concussion (FAB-C) Battery by Thaer Manaseer, Jackie L. Whittaker, Codi Isaac, Kathryn J. Schneider, Douglas P. Gross

    Published 2021-09-01
    “… # Objective To develop and assess the feasibility and construct validity of the Functional Assessment of Balance in Concussion (FAB-C) battery…”
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  4. 1004
  5. 1005

    Nonparametric Expectile Shortfall Regression for Complex Functional Structure by Mohammed B. Alamari, Fatimah A. Almulhim, Zoulikha Kaid, Ali Laksaci

    Published 2024-09-01
    “…A nonparametric estimator based on the Nadaraya–Watson approach is constructed. The asymptotic property of the constructed estimator is established using a functional time-series structure. …”
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    Article
  6. 1006

    Arbiter Physical Unclonable Functions with Asymmetric Pairs of Paths by V. N. Yarmolik, A. A. Ivaniuk

    Published 2022-06-01
    “…The methods of constructing physical unclonable functions (PUF), which are the basis of physical cryptography, are analyzed. …”
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    Article
  7. 1007

    Singular direction of meromorphic functions with finite logarithmic order by Hu Keqi, Zhang Qingcai

    Published 2025-05-01
    “…In this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions. …”
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  8. 1008

    The Diagnosis of Functional Nodes of Radio Systems with Static Nonlinearities by B. P. Podkopaev, A. S. Iakshin

    Published 2016-04-01
    “…It is shown that in this case it is possible to construct means of functional diagnosis in the form of a Bank of observers, allowing to solve the task not only of detection but also the localization of errors to the maximum possible depth. …”
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  9. 1009

    Isomorphisms of algebras of symmetric functions on spaces $\ell_p$ by T. V. Vasylyshyn

    Published 2025-03-01
    “…The work is devoted to the study of algebras of entire symmetric functions on some Banach spaces of sequences. A function on a vector space is called symmetric with respect to some fixed group $G$ of operators acting on this space, or $G$-symmetric, if it is invariant under the action of elements of the group $G$ on its argument. …”
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  10. 1010

    Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity by Jennie D’Ambroise, Floyd L. Williams

    Published 2017-01-01
    “…Here, a metric of constant Ricci scalar curvature is constructed, and explicit linearly independent solutions of the corresponding dilaton field equations are determined. …”
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  11. 1011

    Dynamics of a Stochastic Functional System for Wastewater Treatment by Xuehui Ji, Sanling Yuan

    Published 2014-01-01
    “…We assume that there are stochastic fluctuations in the concentrations of the nutrient and microbes around a steady state, and introduce two distributed delays to the model describing, respectively, the times involved in nutrient recycling and the bacterial reproduction response to nutrient uptake. By constructing Lyapunov functionals, sufficient conditions for the stochastic stability of its positive equilibrium are obtained. …”
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  12. 1012

    Some Fixed-Circle Results with Different Auxiliary Functions by Elif Kaplan, Nabil Mlaiki, Nihal Taş, Salma Haque, Asma Karoui Souayah

    Published 2022-01-01
    “…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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  13. 1013

    An approach to nonparametric inference on the causal dose–response function by Hudson Aaron, Geng Elvin H., Odeny Thomas A., Bukusi Elizabeth A., Petersen Maya L., van der Laan Mark J.

    Published 2024-12-01
    “…We also present an approach for constructing simultaneous confidence bands for the dose-response function by inverting our proposed hypothesis test. …”
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  14. 1014

    Extended integer tent maps and dynamic hash function by LIU Jian-dong

    Published 2010-01-01
    “…Based on the analysis of uniform distribution property of the extended integer tent maps,a novel dynamic hash function with the output length of 160bit was constructed.In addition,the MD structure was improved so that the capacity of collision resistance of the middle iteration process of the hash function was enhanced without extending intermediate states.Preliminary security testing indicates that,this hash function has a high degree of security,and it can be realized easily with great rapidity.The algorithm of hash function is an ideal subsititution for traditional hash function.…”
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  15. 1015

    On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions by Zhengxin Zhou

    Published 2015-01-01
    “…We use a new method for constructing some differential equations which are equivalent to a given equation in the sense of having the same reflecting function. …”
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  16. 1016

    Conditional Exponential Convex Functions on White Noise Spaces by Ahmed. M. Zabel, Areej A. Almoneef, Ayat Nassar, Abd-Allah Hyder

    Published 2025-03-01
    “…This paper seeks to present the fundamental features of the category of conditional exponential convex functions (CECFs). Additionally, the study of continuous CECFs contributes to the characterization of convolution semigroups. …”
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  17. 1017

    Concave Continuations of Boolean-like Functions and Some of Their Properties by D. N. Barotov

    Published 2025-03-01
    “…It is constructively proved that, firstly, for any discrete function $f_D$ defined on the vertices of $\mathbb{G}$, where $\mathbb{G}$ is one of these three sets, the cardinality of the set of its concave continuations on $\mathbb{G}$ is equal to infinity, and, secondly, there is a function $f_{NR}$ that is the minimum among all its concave continuations on $\mathbb{G}$. …”
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  18. 1018

    Fractional Calculus for Type 2 Interval-Valued Functions by Mostafijur Rahaman, Dimplekumar Chalishajar, Kamal Hossain Gazi, Shariful Alam, Soheil Salahshour, Sankar Prasad Mondal

    Published 2025-02-01
    “…This paper presents a contemporary introduction of fractional calculus for Type 2 interval-valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of more assembled perception with reference to impreciseness. …”
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  19. 1019

    Cryptological properties of multi-output rotation symmetric functions by YUAN Yan-bin, ZHAO Ya-qun

    Published 2009-01-01
    “…The notion of multi-output rotation symmetric functions was introduced.Firstly, the properties of generalized Walsh spectrum and the generalized autocorrelation functions were presented.Then by constructing matrixes, some necessary and sufficient conditions were given for this class of functions to satisfying cryptological properties of balancedness, correlation immunity and so on.Especially, it presented a necessary and sufficient condition to fulfilling 1st order correlation immunity.At last, when n was odd number, the matrixes of n variables multi-output Plateaued rotation symmetric functions had special properties, so a method was introduced to find the odd number variables multi-output Plateated rotation symmetric functions.And this method only need calculate part of the generalized Walsh cycle spectrum, and the calculation could be reduced by almost half of the amount.…”
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  20. 1020

    On Uniform Convergence of Sequences and Series of Fuzzy-Valued Functions by Uğur Kadak, Hakan Efe

    Published 2015-01-01
    “…In the present paper since the utilization of Zadeh’s extension principle is quite difficult in practice, we prefer the idea of level sets in order to construct for a fuzzy-valued function via related trapezoidal membership function. …”
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