Results 41 to 50 of about 101,104 (278)
Journal de théorie des nombres de Bordeaux, 1997 By using polylogarithm series, we define “poly-Bernoulli numbers” which generalize classical Bernoulli numbers. We derive an explicit formula and a duality theorem for these numbers, together with a von Staudt-type theorem for di-Bernoulli numbers and another proof of a theorem of Vandiver.
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A Review on Sensor Technologies, Control Approaches, and Emerging Challenges in Soft Robotics
Advanced Robotics Research, EarlyView.This review provides an introspective of sensors and controllers in soft robotics. Initially describing the current sensing methods, then moving on to the control methods utilized, and finally ending with challenges and future directions in soft robotics focusing on the material innovations, sensor fusion, and embedded intelligence for sensors and ...
Ean Lovett +5 more
wiley +1 more source
Multi-Lah numbers and multi-Stirling numbers of the first kind
Advances in Difference Equations, 2021 In this paper, we introduce multi-Lah numbers and multi-Stirling numbers of the first kind and recall multi-Bernoulli numbers, all of whose generating functions are given with the help of multiple logarithm.
Dae San Kim +4 more
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Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied Mathematics in Science and Engineering, 2023 The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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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
Evaluating the Utilities of Foundation Models in Single‐Cell Data Analysis
Advanced Science, EarlyView.This study delivers the first systematic, task‐level evaluation of single‐cell foundation models across eight core analytical tasks. By benchmarking 10 leading models with the scEval framework, it reveals where foundation models truly add value, where task‐specific methods still dominate, and provides concrete, reproducible guidelines to steer the next
Tianyu Liu +4 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
Bernoulli Numbers and Solitons — Revisited
Journal of Nonlinear Mathematical Physics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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