Results 121 to 130 of about 12,867 (291)

A note on q-Euler numbers associated with the basic q-zeta function

open access: yes, 2007
The purpose of this work is to give some identities of q-Euler numbers and polynomials. Finally we construct q-zeta functions which interpolate the q-analogue of Frobenius–Euler numbers at negative ...
Kim, Taekyun, Rim, Seog-Hoon
core   +1 more source

Robust Reinforcement Learning Control Framework for a Quadrotor Unmanned Aerial Vehicle Using Critic Neural Network

open access: yesAdvanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai   +3 more
wiley   +1 more source

Some Congruences for Generalized Euler Numbers

open access: yes, 1983
The generalized Euler numbers may be defined bySince is zero unless m divides n, we shall write for . Leeming and MacLeod [12] recently gave some congruences for these numbers. They found congruences (mod 16) for where m = 3, 6, 8, 12, and 16.
Ira M. Gessel
core   +1 more source

Sound‐Based Assembly of Magnetically Actuated Soft Robots Toward Enhanced Release of Extracellular Vesicles

open access: yesAdvanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Magnetic soft robots offer promise in biomedicine due to their wireless actuation and rapid response, but current fabrication methods are complex and have limited cellular compatibility. A new, contactless bioassembly strategy using hydrodynamic instabilities is introduced, enabling customizable, centimeter‐scale robots.
Wei Gao   +5 more
wiley   +1 more source

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

open access: yesMathematics
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   +3 more
doaj   +1 more source

Patient‐Mounted Neuro Optical Coherence Tomography for Targeted Minimally Invasive Micro‐Resolution Volumetric Imaging in Brain In Vivo

open access: yesAdvanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Herein, a patient‐mounted neuro optical coherence tomography system that integrates a 5 degrees‐of‐freedom skull‐mounted robot (Skullbot) with a 0.6 mm neuroendoscope for targeted, minimally invasive deep brain imaging, is developed. The system offers high‐resolution imaging with precise deployment, demonstrated through successful tumor imaging in a ...
Chao Xu   +7 more
wiley   +1 more source

New Approach to -Euler Numbers and Polynomials

open access: yesAdvances in Difference Equations, 2010
We give a new construction of the -extensions of Euler numbers and polynomials. We present new generating functions which are related to the -Euler numbers and polynomials.
Jang Lee-Chae   +3 more
doaj  

Cobordism and the Euler number

open access: yesTopology, 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

On p-Adic Fermionic Integrals of q-Bernstein Polynomials Associated with q-Euler Numbers and Polynomials †

open access: yes, 2018
We study a q-analogue of Euler numbers and polynomials naturally arising from the p-adic fermionic integrals on Zp and investigate some properties for these numbers and polynomials.
Dmitry Victorovich Dolgy   +3 more
core   +1 more source

A Steerable and Expandable Magnetic Aspiration Catheter for Enhanced Aspiration Thrombectomy

open access: yesAdvanced Intelligent Systems, EarlyView.
This article presents a novel magnetic aspiration catheter (MAC) that can be both actively steered and undergo distal‐end expansion via externally applied magnetic fields. The MAC facilitates precise branch selection and enhances clot engagement by improving endovascular navigation and aspiration efficiency. Phantom experiments validate its feasibility
Hakjoon Lee   +7 more
wiley   +1 more source

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