Results 41 to 50 of about 13,937,425 (345)
On polynomial representation functions for multivariate linear forms
European journal of combinatorics (Print), 2013 Given an infinite sequence of positive integers A , we prove that, for every non-negative integer k , the number of solutions of the equation n = a 1 + ? + a k , a 1 , ? , a k ? A , is not constant for n sufficiently large.
J. Rué
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On the Representation of Boolean and Real Functions as Hamiltonians for Quantum Computing [PDF]
ACM Transactions on Quantum Computing, 2018 Mapping functions on bits to Hamiltonians acting on qubits has many applications in quantum computing. In particular, Hamiltonians representing Boolean functions are required for applications of quantum annealing or the quantum approximate optimization
Stuart Hadfield
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Recurrent identities for two special functions of hypergeometric type
Вестник Самарского университета: Естественнонаучная серия, 2023 The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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Fuzzy-Valued Functions Calculus Through Midpoint Representation
MathematicsIn this paper, we are concerned with the calculus for fuzzy-valued functions of a single real variable when the adopted representation is the midpoint-radius; in particular, we extend the well-known LU-order to the more general case of the so-called γ ...
Laerte Sorini +4 more
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Characterization of Representation Functions
Integers, 2017 See the abstract in the attached pdf.
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Representation functions of additive bases for abelian semigroups
International Journal of Mathematics and Mathematical Sciences, 2004 A subset of an abelian semigroup is called an asymptotic basis for the semigroup if every element of the semigroup with at most finitely many exceptions can be represented as the sum of two distinct elements of the basis.
Melvyn B. Nathanson
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σ-monogenic functions in commutative algebras
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In finite-dimensional commutative associative algebra, the concept of σ-monogenic function is introduced. Necessary and sufficient conditions for σ-monogeneity have been established.
Vitalii Shpakivskyi
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On an additive representation function
Journal of Number Theory, 2004 Let \(A\) be an infinite set of positive integers with the property that at most finitely many integers have exactly one representation in the form \(a+a'\), \(a\leq a'\), \(a,a'\in A\). \textit{J.-L. Nicolas}, \textit{I. Z. Ruzsa}, and \textit{A. Sárközy} [J. Number Theory 73, 292--317 (1998; Zbl 0921.11050)] proved that such sets must satisfy \(A(x)>
Balasubramanian, R., Prakash, Gyan
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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Complexity theory for spaces of integrable functions [PDF]
Logical Methods in Computer Science, 2017 This paper investigates second-order representations in the sense of Kawamura and Cook for spaces of integrable functions that regularly show up in analysis. It builds upon prior work about the space of continuous functions on the unit interval: Kawamura
Florian Steinberg
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