Results 51 to 60 of about 2,043 (239)
Identity for generalized Bernoulli polynomials
, 2020 In this paper, we establish an identity for Bernoulli's generalized polynomials. We deduce generalizations for many relations involving classical Bernoulli numbers or polynomials. In particular, we generalize a recent Gessel identity.
Chellal, Redha +2 more
openaire +3 more sources
Integral Formulae of Bernoulli Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2012 Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting integral formulae for the Bernoulli polynomials.
Dae San Kim +4 more
openaire +3 more sources
Physics‐Grounded Probabilistic Bits for Hardware‐Efficient Intelligent Inference and Optimization
Advanced Intelligent Systems, EarlyView.Si–SiNx interface traps are harnessed as a complementary metal–oxide–semiconductor‐compatible source of controllable randomness for probabilistic bits. Pulse‐width‐programmed stochastic capture converts nanoscale defect dynamics into Boltzmann‐consistent binary outputs, while a physics‐based Simulation Program with Integrated Circuit Emphasis model ...
Dokyoung Lee +3 more
wiley +1 more source
Lagrange-Based Hypergeometric Bernoulli Polynomials
Symmetry, 2022 Special polynomials play an important role in several subjects of mathematics, engineering, and theoretical physics. Many problems arising in mathematics, engineering, and mathematical physics are framed in terms of differential equations. In this paper, we introduce the family of the Lagrange-based hypergeometric Bernoulli polynomials via the ...
Sahar Albosaily +3 more
openaire +2 more sources
Journal of Applied Econometrics, EarlyView.ABSTRACT Double/debiased machine learning (DML) uses for estimating an average treatment effect (ATE) a double‐robust score function that relies on the prediction of nuisance functions, such as the propensity score, which is the probability of treatment assignment given covariates.
Daniele Ballinari, Nora Bearth
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Latin American Journal of Solids and StructuresThe convergence characteristic of the conventional two-noded Euler-Bernoulli piezoelectric beam finite element depends on the configuration of the beam cross-section.
Litesh N. Sulbhewar, P. Raveendranath
doaj +1 more source
Vibration Attenuation of Cantilever Beam Using Electromagnetic Delayed Feedback
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study presents a combined analytical and numerical investigation of a single‐input single‐output delayed feedback controller designed to suppress vibrations in a cantilever beam actuated by an electromagnet positioned beneath its free end. An analytical model was developed using the linearized equation of motion for a transversely excited
Mohammad Alabdullah, Khaled Alhazza
wiley +1 more source
, 2018 We define a truncated Euler polynomial E m,n (x) as a generalization of the classical Euler polynomial En (x).
Claudio Pita-Ruiz, Takao Komatsu
core +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi +5 more
wiley +1 more source