Results 111 to 120 of about 203,104 (277)

A conjecture on Euler numbers

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2004
The author proves that for every prime \(p\equiv 1\pmod 4\), \[ E_{(p-1)/2}\not \equiv 0\pmod p, \] where \(E_{2n}\) are the Euler numbers defined by the Taylor series \[ \text{sec}\,x= \sum^\infty_{n=0}(-1)^nE_{2n}\frac{x^{2n}}{(2n)!} \quad \text{for }|x|
openaire   +2 more sources

SCP‐Pose: Leveraging Structural Consistency Prior Knowledge for Real‐Time Category‐Level 6D Pose Estimation

Advanced Intelligent Systems, EarlyView.
This paper presents a high‐speed object pose estimation method that deconstructs objects into geometric components. Inspired by human cognitive generalization, it detects these primitives and infers the 6D pose from their stable spatial configuration.
Xuyang Li, Mingxuan Yu, Xuemei Xie, Zhaozhuo An, Qiyue Li, Xiaodan Song, Guangming Shi   +6 more
wiley   +1 more source

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Vision‐Based Handover and Organization of Robotic Scrub Nurse for Seamless Surgical Flow

Advanced Intelligent Systems, EarlyView.
This study presents a pose estimation‐based robotic scrub nurse (PERSN) that assists surgical procedures by estimating the surgeon's hand position, orientation, and grasping state, along with the constraint‐based 6D pose of surgical instruments. User evaluations show that PERSN provides greater immediate usability and reduces physical demand compared ...
Seongjoon Kang, Jae Woo Shim, Geunwu Gimm, Seung Jae Choi, Jong Hyeon Lee, Youho Myong, Yoon Jae Kim, Changhoon Baek, Minwoo Cho, Sungwan Kim   +9 more
wiley   +1 more source

Towards Advanced Intelligent and Perceptive Soft Grippers

Advanced Intelligent Systems, EarlyView.
Implementing soft yet strong and intelligent soft grippers request innovative and creative solutions in designing soft bodies and seamlessly integrating actuated systems with hierarchical sensing. This review systematically analyses soft grippers with a deep understanding of core components, from fundamental design principles to actuation and sensing ...
Haneul Kim, Hayeon Shin, Seik Park, Changbeom Shim, Seonggun Joe   +4 more
wiley   +1 more source

Cobordism and the Euler number

Topology, 1963
OUR OBJECTIVE in this paper is to obtain the Euler number as a cobordism invariant by making a more stringent definition of cobordism. In fact, we require the existence of a nonsingular vector field interior normal on one of a pair of cobording manifolds and exterior normal on the other. The new cobordism groups admit natural homorphisms into the usual
openaire   +2 more sources

Diatom‐Inspired 1D Immobile Robots Capable of 2D Collective Mobility

Advanced Intelligent Systems, EarlyView.
This study presents a diatom‐inspired robotic system that explores group coordination through limited physical interactions. The researchers tune groups of Barbots, simple robotic agents that possess neither individual mobility nor explicit communication capabilities, to achieve complex and adaptive collaboration based on environmental light.
Tianyi Hu, Yunjia Zhang, Chu Qiao, Tingrui Zhang, Shuguang Li   +4 more
wiley   +1 more source

Multimodal Quad‐Finger Soft Robotic Hand With Dual‐Chamber Origami Actuator for Large‐Workspace Manipulation

Advanced Intelligent Systems, EarlyView.
A multimodal quad‐finger soft robotic hand (QDO hand) uses dual‐chamber straight–curved origami prismatic (SCOP) origami actuators. By coordinating positive and negative pressurization in the two chambers, each finger produces axial extension, contraction and bidirectional bending.
Qinlin Tan, Sipeng Zhou, Yanlin Chen, Tianqi Yang, Xiangyu Chu, Sicong Liu, Raymond Kai‐Yu Tong   +6 more
wiley   +1 more source

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

Applied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan, Ugur Duran, Jihad Younis, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Time‐Delayed Spiking Reservoir Computing Enables Efficient Time Series Prediction

Advanced Intelligent Systems, EarlyView.
This study proposes time‐delayed spiking reservoir computing (TDSRC) for efficient time series prediction. By concatenating time‐lagged states, TDSRC constructs an expanded readout feature vector without altering internal reservoir dynamics. This approach enables highly accurate forecasting with significantly fewer neurons, providing a resource ...
Pin Jin, Ren Cao, Zhongxue Gan, Siyang Leng   +3 more
wiley   +1 more source