Results 81 to 90 of about 1,656 (235)

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

, 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, Dae San Kim, Lee-Chae Jang, Taekyun Kim   +3 more
core   +1 more source

Impulsive Thruster Control for Spacecraft Docking: A Lyapunov Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this work, we propose a novel discontinuous impulsive controller for nonlinear systems that admit continuous‐time stabilizing controllers. Specifically, we develop a technique for generating discrete control pulses of short duration based on the Lyapunov candidate function associated with a continuous‐time controller. Our method uses a real‐
Xun Liu, Hashem Ashrafiuon, Sergey G. Nersesov   +2 more
wiley   +1 more source

Artificial intelligence empowers targeted protein degradation: Core technological innovations, multi‐scenario applications, and translational prospects

Smart Molecules, EarlyView.
AI is transforming TPD by improving the design, prediction, and optimization of degraders such as PROTACs, molecular glues, and LYTACs. This review summarizes key AI‐driven advances, highlights applications across drug discovery stages, and discusses remaining challenges and future directions for accelerating the development of therapies against ...
Shuanglin Qin, Rui Peng, Guangshuai Zhang, Si Yan, Jin Xiao, Zishu Liu, Ziyu Tan, Qingqing Xie, Shangjie Li, Wei Luo, Xiaohe Xiao   +10 more
wiley   +1 more source

Symmetric Identities for Carlitz-Type Higher-Order Degenerate (p,q)-Euler Numbers and Polynomials

, 2019
The main goal of this paper is to investigate some interesting symmetric identities for Carlitz-type higher-order degenerate ( p , q ) -Euler numbers, and polynomials.
Cheon Seoung Ryoo, Kyung-Won Hwang
core   +1 more source

Note on -Extensions of Euler Numbers and Polynomials of Higher Order [PDF]

, 2007
In 2007, Ozden et al. constructed generating functions of higher-order twisted h, q-extension of Euler polynomials and numbers, by using p-adic, q-deformed fermionic integral on Zp.
Cheon-seoung Ryoo, Lee-chae Jang, Taekyun Kim   +2 more
core   +1 more source

Lyapunov‐Function‐Based Stability Region Estimation in Transient Stability Assessment of Inverter‐Based Resources: A Review

High Voltage, EarlyView.
ABSTRACT Electric power systems are undergoing a fundamental transition from synchronous generator (SG)‐dominated systems to inverter‐based resource (IBR)‐dominated systems. Lyapunov‐ and energy‐function‐based direct methods provide an effective way to estimate the stability region, also known as the region of attraction (ROA), and have become a ...
Yifan Zhang, Yitong Li, Hsiao‐Dong Chiang, Xiongfei Wang, Yang Wu, Jinjun Liu   +5 more
wiley   +1 more source

Polynomial‐shaped electrodes for adaptive X‐ray optics

Journal of Synchrotron Radiation, EarlyView.
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler   +2 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

A Note on Nörlund-Type Twisted q-Euler Polynomials and Numbers of Higher Order Associated with Fermionic Invariant q-Integrals

Journal of Inequalities and Applications, 2010
We define multiple Nörlund-type twisted q-Euler polynomials and numbers and give interpolation functions of multiple Nörlund-type twisted q-Euler polynomials at negative integers.
Leechae Jang
doaj   +1 more source

Note on the Euler Numbers and Polynomials

, 2008
In this paper we investigate the properties of the Euler functions. By using the Fourier transform for the Euler function, we derive the interesting formula related to the infinite series. Finally we give some interesting identities between the Euler numbers and the second kind stirling numbers.
openaire   +2 more sources