Results 61 to 70 of about 2,378 (305)
On the summation formula of Voronoi [PDF]
Transactions of the American Mathematical Society, 1972 A formula involving sums of the form _ d(n)f(n) and _ d(n)g(n) is derived, where d(n) is the number of divisors of n, andf(x), g(x) are Hankel transforms of each other. Many forms of such a formula, generally known as Voronoi's summation formula, are known, but we give a more symmetrical formula.
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Arthritis Care &Research, EarlyView.Objective This study aimed to describe real‐world trends in preconception and prenatal use of antirheumatic drugs among pregnant individuals with rheumatic diseases in Ontario, Canada. Methods We conducted a time‐series analysis using repeated cross‐sectional data to examine annual patterns of disease‐modifying antirheumatic drug (DMARD) use among ...
Shenthuraan Tharmarajah +6 more
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Summation formulae for the product of the q-Kummer functions from E-q(2)
, 2001 Using the representation of E-q(2) on the non-commutative space zz* - qz*z = a; q < 1, > 0 summation formulae for the product of two, three and four q-Kummer functions are ...
Duru, IH, Ahmedov, H
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Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
MathematicsIn this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi +3 more
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
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The New Approach to Analysis of Thin Isotropic Symmetrical Plates
Applied Sciences, 2020 A new approach to solve plate constructions using combined analytical and numerical methods has been developed in this paper. It is based on an exact solution of an equilibrium equation.
Mykhaylo Delyavskyy, Krystian Rosiński
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Approach of $q$-Derivative Operators to Terminating $q$-Series Formulae [PDF]
, 2018 summary:The $q$-derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric ...
Wang, Xiaoyuan, Chu, Wenchang
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Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones
Advanced Engineering Materials, EarlyView.A chemistry‐aware design framework for tuning printable polydimethylsiloxane (PDMS) for vat photopolymerization (VPP) is developed using additive Gaussian process (GP) modeling. Polymer network mechanics informs variable groupings, feasible formulation constraints, and interaction variables.
Roxana Carbonell +3 more
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Poisson summation formula [PDF]
, 1998 The Poisson summation (PS) formula describes the fundamental duality between periodization and decimation operators under the Fourier transform. In this chapter, the finite abelian group version of the PS formula is derived as a simple application of the character formulas of Chapter 3. The general case is equally simple to prove, but special care must
Richard Tolimieri, Myoung An
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