Precise tail asymptotics of fixed points of the smoothing transform with general weights [PDF]
We consider solutions of the stochastic equation $R=_d\sum_{i=1}^NA_iR_i+B$, where $N>1$ is a fixed constant, $A_i$ are independent, identically distributed random variables and $R_i$ are independent copies of $R$, which are independent both from $A_i$'s
Buraczewski, D. +2 more
core +2 more sources
Direct Laser Writing of Magnetic Micro Actuators With a Stimulus‐Responsive Compliant Hinge
This study presents a versatile modular design strategy for adaptive 3D microactuators. Using two‐photon‐induced C,H insertion reactions within solid polymer layers, chemically distinct hinge and stimulus responsive materials are patterned in one step. The hinge's properties enable tunable motion, mechanical control, and reconfigurable actuation across
Eleonora Galli +4 more
wiley +1 more source
Fractional L\'{e}vy-driven Ornstein--Uhlenbeck processes and stochastic differential equations
Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic differential equations (SDEs) we introduce an Ornstein-
Fink, Holger, Klüppelberg, Claudia
core +1 more source
Hard‐Magnetic Soft Millirobots in Underactuated Systems
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
A new operational matrix based on Bernoulli polynomials [PDF]
In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S. +3 more
core
A Review on Sensor Technologies, Control Approaches, and Emerging Challenges in Soft Robotics
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
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
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
Inversion Free Algorithms for Computing the Principal Square Root of a Matrix
New algorithms are presented about the principal square root of an n×n matrix A. In particular, all the classical iterative algorithms require matrix inversion at every iteration.
Nicholas Assimakis, Maria Adam
doaj +1 more source
Optical waves solutions for the perturbed Fokas–Lenells equation through two different methods
This study examines the perturbed Fokas–Lenells equation using two methods: the Bernoulli sub-equation function method and the 1/G′-expansion method.
Karmina K. Ali +3 more
doaj +1 more source
Bernoulli equation and the nonexistence of maximal jets
We discuss the idea of maximal jets introduced by Falcke & Biermann in 1995. According to it, the maximum possible jet power in its internal energy equals the kinetic power in its rest mass.
Zdziarski, Andrzej A.
core +1 more source

