Results 121 to 130 of about 1,298,535 (243)
Hyperbolic reflections on pell's equation
Journal of Number Theory, 1989 It was conjectured by \textit{N. C. Ankeny}, \textit{E. Artin} and \textit{S. Chowla} [Ann. Math., II. Ser. 56, 479-493 (1952; Zbl 0049.306)] that the fundamental solution \((x_ 0,y_ 0)\) to the Pellian equation \(x^ 2- py^ 2=-1\) (p a prime congruent to 1 modulo 4) satisfies p \(\nmid y_ 0\). In an attempt to understand the nature of this problem, the
openaire +1 more source
The Hyperbolic Factor: a Measure of Decreasing Impatience [PDF]
Many studies have found that discounting is hyperbolic rather than constant. Hyperbolicdiscounting is becoming increasingly popular in economic applications.
Rohde,Kirsten I.M.
core
Miniaturized Magnetic Tip Design for Endoluminal Vine Robot Navigation
Advanced Robotics Research, EarlyView.A magnetic tip mount is designed for a miniaturized 7 mm soft‐growing vine robot to enable wireless magnetic steering and onboard imaging, while preserving a 3 mm working channel. The internal–external ring magnets design balances magnetic attachment with low eversion pressure. Experiments demonstrate ±90° steering, 34 mm bending radius, and successful
Andrea Yanez Trujillo +4 more
wiley +1 more source
A Class of Nonlinear Hyperbolic Equations
Demonstratio Mathematica, 1989 Let \(\Phi:[0,T] \times X \to(-\infty,\infty)\) be measurable with respect to the \(\sigma\)-algebra generated in \([0,T] \times X\) by products of Lebesgue sets in \([0,T]\) and Borel sets in \(X\); \(\Phi (t,\cdot)\) is lower semicontinuous and convex, and \(\partial \Phi\) denotes the subdifferential of \(\Phi (t,\cdot)\).
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Advanced Robotics Research, EarlyView.We proposed a Mixed Reality Sensorized Laryngoscope Training System to provide real‐time holographic torque feedback during pediatric endotracheal intubation simulation. Visualization formats are evaluated to reduce tracking error and visual demand.
Jiaqi Li +5 more
wiley +1 more source
Modeling Heavy-Tailed Stock Index Returns Using the Generalized Hyperbolic Distribution [PDF]
In the present study, we estimate the parameters of the Generalized Hyperbolic Distribution for a series of stock index returns including the Romanian BETC and indexes from other two Eastern European countries, Hungary and the Czech Republic.
Necula, Ciprian
core
Hyperbolic Monge-Ampère Equation
, 2006 In this paper we use the Sobolev steepest descent method introduced by John W. Neuberger to solve the hyperbolic Monge-Ampère equation. First, we use the discrete Sobolev steepest descent method to find numerical solutions; we use several initial guesses,
Howard, Tamani M.
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FiN‐Kiri: Fabric‐Based Inflatable Kirigami Actuator for Multimodal Soft Robots
Advanced Robotics Research, EarlyView.This study introduces a type of inflatable fabric‐based kirigami actuator capable of performing bending motion. The actuator is utilized as soft grippers, a crawling robot and a swimming robot. The crawling robot demonstrated extraordinary motion capabilities, such as moving forward, turning and navigating a narrow tunnel.
Yang Yu +12 more
wiley +1 more source
Some Common Confusions about Hyperbolic Discounting [PDF]
There is much confusion over what "hyperbolic discounting" means. I argue that what matters is the use of relativistic instead of objective time, not the shape of the discount function.time inconsistency, hyperbolic ...
Eric Rasmusen
core
Advanced Robotics Research, EarlyView.This study presents a soft pneumatic fabric bidirectional actuation module (PNEUMA) capable of generating high torque in both bending directions within a single integrated architecture. PNEUMA achieves up to 50 Nm with reduced inflation volume and a lightweight design.
Odysseas Simatos +2 more
wiley +1 more source