Results 121 to 130 of about 47,314 (210)
Annales Mathematicae SilesianaeWe develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle +2 more
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Determinants with Bernoulli polynomials and the restricted partition function
, 2019 Let $r\geq 1$ be an integer, $\mathbf a=(a_1,\ldots,a_r)$ a vector of positive integers and let $D\geq 1$ be a common multiple of $a_1,\ldots,a_r$. We study two natural determinants of order $rD$ with Bernoulli polynomials and we present connections with
Cimpoeas, Mircea
core
Advanced ScienceThe incorporation of randomness into stochastic computing can provide ample opportunities for applications such as simulated annealing, non‐polynomial hard problem solving, and Bayesian neuron networks.
Ran Zhang +9 more
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Some Novel Formulas of the Telephone Polynomials Including New Definite and Indefinite Integrals
MathematicsIn this article, we present new theoretical findings on specific polynomials that generalize the concept of telephone numbers, namely, Telephone polynomials (TelPs).
Omar Mazen Alqubori +1 more
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GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS
, 2014 We investigate generalized binomial expansions that arise from two-dimensional sequences satisfying a broad generalization of the triangular recurrence for binomial coefficients. In particular, we present a new combinatorial formula for such sequences in terms of a 'shift by rank' quasi-expansion based on ordered set partitions.
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Multivariate Bernoulli polynomials
, 2019 We introduce a multivariate analogue of Bernoulli polynomials and give their fundamental properties: difference and differential relations, symmetry, explicit formula, inversion formula, multiplication theorem, and binomial type formula. Further, we consider a multivariate analogue of the multiple Bernoulli polynomials and give their fundamental ...
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On the Euler and Bernoulli polynomials.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1969 openaire +2 more sources
Getting robots back on track by reconstituting control in unexpected situations with online learning. [PDF]
Nat CommunAllard M, Flageat M, Lim B, Cully A.
europepmc +1 more source
Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]
Sci RepIqbal N +5 more
europepmc +1 more source
Enhancing wellbore stability through machine learning for sustainable hydrocarbon exploitation. [PDF]
Sci RepMahetaji M, Brahma J.
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