Results 61 to 70 of about 6,793 (328)

Description of Euler bricks using Fibonacci's identity [PDF]

open access: yes, 2013
We show how the Fibonacci's identity is used to obtain Euler bricks. Also,we put forward the relation between Fibonacci's identity and Euler's formula, which provides the description of Euler's bricks with noninteger spatial diagonal.
Safin, Boris
core  

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

Wearable Metamaterials with Embodied Intelligence for Programmable Control of Human Limbs Tremor

open access: yesAdvanced Intelligent Systems, EarlyView.
Resulting from alternating muscle contractions, tremors can severely limit human ability to perform everyday tasks like walking or talking, due to their disruptive nature. Medication and surgery may not always effectively address tremor control. A wearable device embodying programmable smart metamaterials with adaptable intelligence to meet the demand ...
Braion Barbosa de Moura   +2 more
wiley   +1 more source

A note on a curious formula for Euler's constant [PDF]

open access: yes, 2010
In this short note we will use the residue theorem to establish a formula for Euler's constant. In particular, we offer a slightly generalized version of an interesting infinite series due to Flajolet, Gourdon, and Dumas.Comment: 4 ...
Rogers, Mathew D.
core  

Crater Observing Bioinspired Rolling Articulator (COBRA)

open access: yesAdvanced Intelligent Systems, EarlyView.
Crater Observing Bio‐inspired Rolling Articulator (COBRA) is a modular, snake‐inspired robot that addresses the mobility challenges of extraterrestrial exploration sites such as Shackleton Crater. Incorporating snake‐like gaits and tumbling locomotion, COBRA navigates both uneven surfaces and steep crater walls.
Adarsh Salagame   +4 more
wiley   +1 more source

From Origami to Bistable and Laminate Structures: A Review for Multifunctional Applications from Structural Perspective of Shape‐Changing Structures

open access: yesAdvanced Intelligent Systems, EarlyView.
This review explores how shape‐changing structures—origami, bistable, and laminate structures—enable multifunctionality in soft robotics and metamaterials. Starting from structural design, it examines core principles, real‐world applications, and ongoing challenges.
Lingchen Kong, Yaoyao Fiona Zhao
wiley   +1 more source

An integration of Euler's pentagonal partition [PDF]

open access: yes, 2010
A recurrent formula is presented, for the enumeration of the compositions of positive integers as sums over multisets of positive integers, that closely resembles Euler's recurrence based on the pentagonal numbers, but where the coefficients result from ...
Scollo, Giuseppe
core  

Soft Robotic Sim2Real via Conditional Flow Matching

open access: yesAdvanced Intelligent Systems, EarlyView.
A new framework based on conditional flow matching addresses the persistent Sim2Real gap in soft robotics. By learning a conditional probability path, the model directly transforms inaccurate simulation data to match physical reality, successfully capturing complex phenomena like hysteresis.
Ge Shi   +6 more
wiley   +1 more source

Contact Force Estimation of Continuum Robots without Embedded Sensors: A Review

open access: yesAdvanced Intelligent Systems, EarlyView.
This review surveys methods for estimating contact forces in continuum robots without embedded sensors. It explains why contact force matters, classifies force patterns, and groups existing methods into three approaches based on actuation, deformation, and environment information.
An Hu, Yu Sun
wiley   +1 more source

On Some Novel Results about Split-Complex Numbers, the Diagonalization Problem, and Applications to Public Key Asymmetric Cryptography

open access: yesJournal of Mathematics, 2023
In this paper, we present some of the foundational concepts of split-complex number theory such as split-complex divison, gcd, and congruencies. Also, we prove that Euler’s theorem is still true in the case of split-complex integers, and we use this ...
Mehmet Merkepci, Mohammad Abobala
doaj   +1 more source

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