Results 51 to 60 of about 101,561 (280)
Numerical Modeling of Photothermal Self‐Excited Composite Oscillators
Advanced Robotics Research, EarlyView.We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu +6 more
wiley +1 more source
Grip and Grasp: Lizard Claw Inspired Robotic Manipulators
Advanced Robotics Research, EarlyView.Our study identifies the most effective lizard claw shape for use as an end effector in a bioinspired robotic manipulator. By examining key geometric features and combining them into comparative indices, the Crotaphytus collaris claw is found to be the best fit.
Hyeon Lee +4 more
wiley +1 more source
Congruences concerning Bernoulli numbers and Bernoulli polynomials
Discrete Applied Mathematics, 2000 Let \(B_n(x)\), resp. \(B_n\), denote the classical Bernoulli polynomial, resp. number. In the paper under review the author proves some generalizations of Kummer's congruence by determining \[ \frac{B_{k(p-1)+b}(x)}{(k(p-1)+b)}\pmod{p^n} \] where \(p\) is an odd prime, \(x\) a \(p\)-integral rational number and \(p-1\nmid b\), while Kummer considered ...
openaire +1 more source
Advanced Science, EarlyView.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α
Abstract and Applied Analysis, 2011 A systemic study of some families of the modified q-Bernoulli numbers and polynomials with weight α is presented by using the p-adic q-integration ℤp.
T. Kim +4 more
doaj +1 more source
Poly-Bernoulli numbers and lonesum matrices
, 2011 A lonesum matrix is a matrix that can be uniquely reconstructed from its row and column sums. Kaneko defined the poly-Bernoulli numbers $B_m^{(n)}$ by a generating function, and Brewbaker computed the number of binary lonesum $m\times n$-matrices and ...
Arakawa +16 more
core +1 more source
New congruences for the Bernoulli numbers [PDF]
Mathematics of Computation, 1987 We prove a new congruence for computing Bernoulli numbers modulo a prime. Since it is similar to Vandiver’s congruences but has fewer terms, it may be used to test primes for regularity efficiently. We have programmed this test on a CYBER 205 computer. Fermat’s "Last Theorem" has been proved for all exponents up to 150000.
Tanner, Jonathan W. +1 more
openaire +2 more sources
Inherently Disordered Auxetic Metamaterials
Advanced Science, EarlyView.Inherently disordered auxetic metamaterials based on random chiral Delaunay triangulations are designed and investigated using numerical simulations and experimental tests. These disordered frameworks exhibit orthotropic behavior and a large negative Poisson's ratio (ca.
Matteo Montanari +3 more
wiley +1 more source
, 2015 In 1935 Carlitz introduced Bernoulli-Carlitz numbers as analogues of Bernoulli numbers for the rational function field $\mathbb F_r(T)$. In this paper, we introduce Cauchy-Carlitz numbers as analogues of Cauchy numbers. By using Stirling-Carlitz numbers,
Kaneko, Hajime, Komatsu, Takao
core +1 more source
Poly-Bernoulli Numbers and Eulerian Numbers
J. Integer Seq., 2018 In this note we prove combinatorially some new formulas connecting poly-Bernoulli numbers with negative indices to Eulerian numbers.
Beáta Bényi, Péter Hajnal
openaire +4 more sources