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The Universality of Zeta-Functions
Acta Applicandae Mathematica, 2003This first part of this paper is a survey on the universality of zeta-functions. The author begins by recounting the development of the concept of universality in analysis. While in most cases the universal objects were not explicitly given, \textit{S. M. Voronin} [Izv. Akad. Nauk SSSR, Ser. Mat.
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On Conditionally Universal Functions
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigoryan, M. G., Galoyan, L. N.
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Acta Mathematica Hungarica, 1987
Let \({\mathcal F}\subset L^ 0(0,1)\) be a function space endowed with some topology. We call \(f\in {\mathcal F}^ a \)universal function if there exists \(\{\lambda_ n\}\subset {\mathbb{R}}\), \(\lambda_ n\to 0\), such that \((f(x+\lambda_ n)-f(x))/\lambda_ n\subset {\mathcal F}\) is dense in \({\mathcal F}.\) \textit{J. Marcinkiewicz} proved [Fundam.
Bogmér, A., Sövegjártó, A.
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Let \({\mathcal F}\subset L^ 0(0,1)\) be a function space endowed with some topology. We call \(f\in {\mathcal F}^ a \)universal function if there exists \(\{\lambda_ n\}\subset {\mathbb{R}}\), \(\lambda_ n\to 0\), such that \((f(x+\lambda_ n)-f(x))/\lambda_ n\subset {\mathcal F}\) is dense in \({\mathcal F}.\) \textit{J. Marcinkiewicz} proved [Fundam.
Bogmér, A., Sövegjártó, A.
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On the Design of Universal Boolean Functions
IEEE Transactions on Computers, 1971A Boolean function U( z 1 ,...,z m ) is universal for given n≥1 and a set I of variables if it realizes all Boolean functions f(x 1 ,..., x n ) by substituting for each zj a variable of I. Designs of universal Boolean functions for various specifications of I are considered for the practical cases of ...
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UNIVERSAL FUNCTIONS IN PARTIAL STRUCTURES
Mathematical Logic Quarterly, 1992AbstractIn this work we show that every structure 𝒜 can be expanded to a partial structure 𝒜* with universal functions for the class of polynomials on 𝒜*. We can embed 𝒜* monomorphically in a total structure 𝒜º that preserves universal functions of 𝒜* and that is universal among such structures, i.e.
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Characterization and Cardinality of Universal Functions
IEEE Transactions on Electronic Computers, 1965Necessary and sufficient conditions that a Boolean function be universal, are established. It is demonstrated that most functions are in fact universal; thus, almost any function is a candidate for building the combinational logic of all computers.
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The Journal of Higher Education, 1931
T HE American university "is becoming more and more tumultuous. Our universities have then, I say, increased their genuine facilities and opportunities; they have simultaneously and needlessly cheapened, vulgarized, and mechanized themselves. Perhaps the phenomena I have in mind are transient . . . mere symptoms developed on the way to something better.
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T HE American university "is becoming more and more tumultuous. Our universities have then, I say, increased their genuine facilities and opportunities; they have simultaneously and needlessly cheapened, vulgarized, and mechanized themselves. Perhaps the phenomena I have in mind are transient . . . mere symptoms developed on the way to something better.
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On universal holomorphic functions
1988Let \(\{c_ n\}\) be a sequence in the complex plane C with lim \(c_ n=\infty\). \textit{W. Luh} [Colloq. Math. Soc. János Bolyai 19, 503-511 (1978; Zbl 0411.30017)] proved the existence of an entire function F such that, for every compact set \(K\subset C\) with connected complement, and for every function f(z) that is holomorphic in the interior of K ...
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Executive functions in universal design for learning: moving towards inclusive education
International Journal of Inclusive Education, 2020Maria Dolores Garcia-Campos +2 more
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