Twist-2 relation and sum rule for tensor-polarized parton distribution functions of spin-1 hadrons
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DOI: 10.1007/jhep09(2021)141
Abstract: Abstract Sum rules for structure functions and their twist-2 relations have important roles in constraining their magnitudes and x dependencies and in studying higher-twist effects. The Wandzura-Wilczek (WW) relation and the Burkhardt-Cottingham (BC) sum rule… read more here.
Keywords: spin hadrons; twist; sum rule; sum ... See more keywords
Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-016-1511-1
Abstract: Let $${\mathscr {H}}_\infty $$H∞ be the set of all ordinary Dirichlet series $$D=\sum _n a_n n^{-s}$$D=∑nann-s representing bounded holomorphic functions on the right half plane. A completely multiplicative sequence $$(b_n)$$(bn) of complex numbers is said… read more here.
Keywords: sum; mathscr infty; dirichlet series; holomorphic functions ... See more keywords
Positive Jantzen sum formulas for cyclotomic Hecke algebras
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DOI: 10.1007/s00209-021-02957-7
Abstract: This paper proves a “positive” Jantzen sum formula for the Specht modules of the cyclotomic Hecke algebras of type A and uses it to obtain new bounds on decomposition numbers. Quite remarkably, our results are proved… read more here.
Keywords: sum; jantzen sum; hecke algebras; sum formula ... See more keywords
On the Neighbour Sum Distinguishing Index of Graphs with Bounded Maximum Average Degree
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DOI: 10.1007/s00373-017-1822-3
Abstract: A proper edge k-colouring of a graph $$G=(V,E)$$G=(V,E) is an assignment $$c:E\rightarrow \{1,2,\ldots ,k\}$$c:E→{1,2,…,k} of colours to the edges of the graph such that no two adjacent edges are associated with the same colour. A… read more here.
Keywords: sum; sum distinguishing; neighbour sum; edge ... See more keywords
The sum of observables on a $$\sigma $$σ-distributive lattice effect algebra
Sign Up to like & getrecommendations! Published in 2019 at "Soft Computing"
DOI: 10.1007/s00500-018-3617-8
Abstract: Observables on quantum structures can be seen as generalizations of random variables on a measurable space $$(\Omega , \mathcal {A})$$(Ω,A) for the case when $$\mathcal {A}$$A is not necessarily a Boolean algebra. The present paper… read more here.
Keywords: observables sigma; lattice effect; sigma distributive; distributive lattice ... See more keywords
The superb microvascular imaging is more sensitive than conventional power Doppler imaging in detection of active synovitis in patients with rheumatoid arthritis
Sign Up to like & getrecommendations! Published in 2019 at "Clinical Rheumatology"
DOI: 10.1007/s10067-019-04550-0
Abstract: ObjectivesThis study evaluated Superb Microvascular Imaging (SMI) technology for detection of active synovitis in patients with rheumatoid arthritis (RA).MethodsBetween June 2015 and October 2016, 56 patients with RA (42 females; mean age, 53.2 years) underwent gray-scale… read more here.
Keywords: sum; synovitis; smi sum; active synovitis ... See more keywords
Teaching Integration: How Certain Instructional Moves May Undermine the Potential Conceptual Value of the Riemann Sum and the Riemann Integral
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Science and Mathematics Education"
DOI: 10.1007/s10763-016-9731-0
Abstract: Past research in calculus education has shown that Riemann sum-based conceptions of the definite integral, such as the multiplicatively based summation (MBS) conception, can have important value in interpreting and making sense of certain types… read more here.
Keywords: sum; riemann integral; riemann sum; value ... See more keywords
A Note on Quantum Coherence
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DOI: 10.1007/s10773-017-3611-4
Abstract: AbstractIn this paper, we discuss the coherence of the reduced state in system HA ⊗HB under taking different quantum operations acting on subsystem HB. Firstly, we show that for a pure bipartite state, the coherence… read more here.
Keywords: state; sum; quantum; coherence ... See more keywords
On Cubic Exponential Sums and Gauss Sums
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DOI: 10.1007/s10958-018-4037-0
Abstract: Let eq be a nontrivial additive character of a finite field ????q of order q ≡ 1(mod 3) and let ψ be a cubic multiplicative character of ????q, ψ(0) = 0. Consider the cubic Gauss… read more here.
Keywords: sum; exponential sums; cubic exponential; psi right ... See more keywords
Continuous-Time Zero-Sum Games for Markov Decision Processes with Discounted Risk-Sensitive Cost Criterion
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DOI: 10.1007/s13235-021-00391-2
Abstract: In this paper, we study two-person zero-sum stochastic games for controlled continuous time Markov decision processes with risk-sensitive discounted cost criterion. The transition and cost rates are possibly unbounded. For the zero-sum stochastic game, we… read more here.
Keywords: markov decision; zero sum; continuous time; sum ... See more keywords
The Minimum General Sum-Connectivity Index of Trees with Given Matching Number
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00755-3
Abstract: The general sum-connectivity index of a graph G is defined as $$\chi _\alpha (G)=\sum _{uv\in E(G)}(d(u)+d(v))^{\alpha }$$ χ α ( G ) = ∑ u v ∈ E ( G ) ( d ( u… read more here.
Keywords: number; sum connectivity; general sum; sum ... See more keywords