Results 31 to 40 of about 53,939 (225)

Approximations to inverse tangent function

Journal of Inequalities and Applications, 2018
In this paper, we present a sharp Shafer-type inequality for the inverse tangent function. Based on the Padé approximation method, we give approximations to the inverse tangent function. Based on the obtained result, we establish new bounds for arctanx.
Quan-Xi Qiao, Chao-Ping Chen
doaj   +1 more source

On obtaining classical mechanics from quantum mechanics [PDF]

, 2006
Constructing a classical mechanical system associated with a given quantum mechanical one, entails construction of a classical phase space and a corresponding Hamiltonian function from the available quantum structures and a notion of coarser observations.
Ashtekar A, Ashtekar A, Ashtekar A, Ghanashyam Date, Schilling T, Willis J   +5 more
core   +2 more sources

Stable Imitation of Multigait and Bipedal Motions for Quadrupedal Robots Over Uneven Terrains

Advanced Robotics Research, EarlyView.
How are quadrupedal robots empowered to execute complex navigation tasks, including multigait and bipedal motions? Challenges in stability and real‐world adaptation persist, especially with uneven terrains and disturbances. This article presents an imitation learning framework that enhances adaptability and robustness by incorporating long short‐term ...
Erdong Xiao, Yinzhao Dong, Ji Ma, Peng Lu   +3 more
wiley   +1 more source

Approximation of functions by (C,2)(E,1) product summability method of Fourier series

Ratio Mathematica, 2020
Various investigators such as Leindler [10], Chandra [1], Mishra et al. [7], Khan [11], Kushwaha [6] have determined the degree of approximation of  2 pai-periodic functions belonging to generalized Lipschitz class of functions through trigonometric ...
Jitendra Kumar Kushwaha
doaj   +1 more source

A Flexible and Energy‐Efficient Compute‐in‐Memory Accelerator for Kolmogorov–Arnold Networks

Advanced Intelligent Systems, EarlyView.
This article presents KA‐CIM, a compute‐in‐memory accelerator for Kolmogorov–Arnold Networks (KANs). It enables flexible and efficient computation of arbitrary nonlinear functions through cross‐layer co‐optimization from algorithm to device. KA‐CIM surpasses CPU, ASIC, VMM‐CIM, and prior KAN accelerators by 1–3 orders of magnitude in energy‐delay ...
Chirag Sudarshan, Oliver Artner, Paul‐Philipp Manea, Sebastian Siegel, Susanne Hoffmann‐Eifert, Regina Dittmann, John Paul Strachan   +6 more
wiley   +1 more source

Best orthogonal trigonometric approximations of the Nikol'skii-Besov-type classes of periodic functions of one and several variables

Karpatsʹkì Matematičnì Publìkacìï, 2022
We obtained the exact order estimates of the best orthogonal trigonometric approximations of periodic functions of one and several variables from the Nikol'skii-Besov-type classes $B^{\omega}_{1,\theta}$ ($B^{\Omega}_{1,\theta}$ in the multivariate case $
O.V. Fedunyk-Yaremchuk, S.B. Hembars'ka
doaj   +1 more source

Qualitative features of periodic solutions of KdV

, 2013
In this paper we prove new qualitative features of solutions of KdV on the circle. The first result says that the Fourier coefficients of a solution of KdV in Sobolev space $H^N,\, N\geq 0$, admit a WKB type expansion up to first order with strongly ...
B. Schaad, Erdogan M., Its A., Kuksin S., Marchenko V., P. Topalov, Pöschel J., T. Kappeler   +7 more
core   +1 more source

OriGrasp: A Multifunctional Origami‐Inspired Instrument for Delicate Manipulation in Abdominal Surgery

Advanced Intelligent Systems, EarlyView.
This paper introduces an origami‐inspired, lightweight, reconfigurable instrument for robot‐assisted minimally invasive surgery. Its foldable design enables tiny access, tunable compliance, and multifunctionality, serving as a tool introducer or deformable grasper that safely manipulates delicate bowel tissue.
Lorenzo Mocellin, Niccolò Pagliarani, Giulia Gamberini, Gastone Ciuti, Matteo Cianchetti, Arianna Menciassi   +5 more
wiley   +1 more source

Hardy-Littlewood theorem for series with general monotone coefficients

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this work we study trigonometric series with general monotone coefficients. Also, we consider Lqϕ ( Lq ) space. In particular, when ϕ ( t ) ≡ 1 the space Lqϕ ( Lq ) coincides with Lq .
S. Bitimkhan
doaj   +1 more source

Comparative cranial biomechanics reveal macroevolutionary trends in theropod dinosaurs, with emphasis on Tyrannosauroidea

The Anatomical Record, EarlyView.
Abstract Tyrannosaurus is viewed as a model organism in vertebrate paleontology, with numerous studies analyzing its feeding biomechanics. Nonetheless, the evolution of this feeding performance has been under‐addressed in Tyrannosauroidea, especially in basal tyrannosauroids. Here we used muscle‐force reconstruction and finite element analysis (FEA) to
Evan Johnson‐Ransom, Paul Gignac, Daniel E. Barta, Ryan N. Felice, Eric Snively   +4 more
wiley   +1 more source