On Computational Constructions in Function Spaces by Anatoly Morozov

“…Numerical study of various processes leads to the need for clarification (extensions) of the limits of applicability of computational constructs and modeling tools. In this article, we study the differentiability in the space of Lebesgue integrable functions and the consistency of this concept with fundamental computational constructions such as Taylor expansion and finite differences is considered. …”
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Constructing optimized Boolean functions by CHEN Wei1, YANG Yi-xian1, NIU Xin-xin2

Subjects: “…function construction method…”
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The recursive algorithm to construct Dirichlet function by A. N. Lysiuk, S. S. Derechennik

“…It is found out, that that required number of fractions is equal to the Dirichlet function value at the x point, and the original rule is proposed to construct it, which has a simple geometric interpretation. …”
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Constructing chaotic transformations with closed functional forms by Weihong Huang

“…The properties of complete chaotic unimodal transformations with closed functional forms are examined and the necessary and sufficient conditions are provided to construct such transformations. …”
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Construction and analysis of one class of cryptographic functions by Zhi-hui OU, Ya-qun ZHAO, Xu LI

“…A novel class of n+t -variable Boolean functions G (x,y) through adding t variables while concatenating t+ 1 Boolean functions (called basic function) was constructed and the Walsh spectrum and autocorrelation coefficient of G(x,y)were given.The relationship between G(x,y)and basic functions by Krawtchouk polynomial and Krawtchouk matrix was studied.Moreover,their cryptographic properties:correlation immunity,propagation and algebraic immunity were investigated.Specially,the detailed relationship between G (x,y) and basic functions when t= 2 was analyzed.In additional,a novel class of multioutput Boolean functions by generalizing the method was constructed and the general Walsh spectrum of the class of multioutput Boolean functions was proposed.Correlation immunity and algebraic immunity of the class of multioutput Boolean functions were analyzed.…”
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Methodological Understandings for the Construction of Functional Lexicological Model by Pamela Faber, Ricardo Mairal Usón

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Construction of weightwise perfectly balanced Boolean functions by ZHAO Qinglan, WANG Fujia, QIN Baodong

“…Based on this, a new construction of weightwise perfectly balanced Boolean functions was introduced. …”
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Construction and analysis of one class of cryptographic functions by Zhi-hui OU, Ya-qun ZHAO, Xu LI

“…A novel class of n+t -variable Boolean functions G (x,y) through adding t variables while concatenating t+ 1 Boolean functions (called basic function) was constructed and the Walsh spectrum and autocorrelation coefficient of G(x,y)were given.The relationship between G(x,y)and basic functions by Krawtchouk polynomial and Krawtchouk matrix was studied.Moreover,their cryptographic properties:correlation immunity,propagation and algebraic immunity were investigated.Specially,the detailed relationship between G (x,y) and basic functions when t= 2 was analyzed.In additional,a novel class of multioutput Boolean functions by generalizing the method was constructed and the general Walsh spectrum of the class of multioutput Boolean functions was proposed.Correlation immunity and algebraic immunity of the class of multioutput Boolean functions were analyzed.…”
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Service function chain construct algorithm based on reliability by Julong LAN, Zijin JIN, Penghao SUN, Yiming JIANG, Yue WANG

“…With the continuous expansion of network size and content quantity,network operators often face the problem of data transmission interruption,thus how to improve the reliability of data transmission has become a research hotspot.Started with the huge advantages of NFV environment over traditional TCP/IP architecture based on the background that every network node has the capability of security service,a reliability algorithm for constructing functional service chains was proposed.First,the network topology was introduced and abstracted it into a digraph for a better analyzation.Then,several quantitative indices were used to define the upper and lower bounds of failure probability and resolved the model through a heuristic algorithm.The experimental results show that the proposed algorithm increases the reliability of service chain selection and spends less time.…”
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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

Subjects: “…Boolean functions…”
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Microbiological dimensions and functions in constructed wetlands: A review by Anju Rani, Mansi Chauhan, Pradeep Kumar Sharma, Mansi Kumari, Debasis Mitra, Samiksha Joshi

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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

Subjects: “…Boolean functions;global avalanche characteristics;matrix;construction algorithm;nonlinearity…”
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ECONOMIC DEVELOPMENT AS A FUNCTION OF CONSTRUCTION PROJECT PERFORMANCE by Ayodeji OKE, Adedayo OGUNGBILE, Luqman OYEWOBI, Callistus TENGAN

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Chiral covalent organic cages: Construction and chiral functions by Si‐Dan Guo, Tianyu Jiao, Dong‐Sheng Guo, Kang Cai

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Machine learning-guided construction of an analytic kinetic energy functional for orbital free density functional theory by Sergei Manzhos, Johann Lüder, Pavlo Golub, Manabu Ihara

“…Machine learning (ML) of kinetic energy functionals (KEF) for orbital-free density functional theory (DFT) holds the promise of addressing an important bottleneck in large-scale ab initio materials modeling where sufficiently accurate analytic KEFs are lacking. …”
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Why use constructional hyperboles? Exploring the communicative functions of constructional hyperboles in the sitcom Friends by Andreea Rosca

“…The aims of the current research are twofold: (i) to advance the existing knowledge on constructional hyperboles, and (ii) to explore the communicative functions of such constructions in the sitcom Friends. …”
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Construction and analysis of resilient five-valued spectra Boolean functions by WANG Weiqiong, LI Yue, LUO Shuyu, ZHU Mengrui

“…An approach based on the Walsh spectral neutralization technique for directly constructing a class of <italic>n</italic>‐variable resilient five-valued spectra Boolean functions was proposed. …”
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Construction of Meyer Wavelet Using Fully Smooth Sigmiod Function by SHAO Yun-hong, DENG Cai-xia, HE Peng

“…The selection of sigmoid function in Meyer wavelet construction affects the differentiability, smoothness and attenuation speed of Meyer wavelet, so it is exceedingly essential to select sigmoid function. …”
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Construction of an Entropy Estimator with a Special Metrics and an Arbitrary Function by N. E. Timofeeva

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Form and function of conditional constructions in the Gumuz language of Metekel zone by Travis Williamson, Eric Larson

“…This paper describes not only the forms of the limited number of conditional constructions in Gumuz [guk] but also their various functions as found primarily in natural texts collected from a variety of districts within Metekel Zone in northwestern Ethiopia.…”
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