Results 31 to 40 of about 1,194 (217)
Hyers-Ulam Stability of Euler’s Equation in the Calculus of Variations
Mathematics, 2021 In this paper we study Hyers-Ulam stability of Euler’s equation in the calculus of variations in two special cases: when F=F(x,y′) and when F=F(y,y′). For the first case we use the direct method and for the second case we use the Laplace transform.
Daniela Marian +2 more
doaj +1 more source
Grip and Grasp: Lizard Claw Inspired Robotic Manipulators
Advanced Robotics Research, EarlyView.Our study identifies the most effective lizard claw shape for use as an end effector in a bioinspired robotic manipulator. By examining key geometric features and combining them into comparative indices, the Crotaphytus collaris claw is found to be the best fit.
Hyeon Lee +4 more
wiley +1 more source
On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 The paper gives necessary and sufficient conditions of classic solution for a homogeneous wave equation with a summable potential, fixed end-point, and zero initial velocity.
Avgust Petrovich Khromov
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Vehicle Directional Cosine Calculation Method
Vehicles, 2023 Teaching kinematic rotations is a daunting task for even some of the most advanced mathematical minds. However, changing the paradigm can highly simplify envisioning and explaining the three-dimensional rotations.
Derek Hall, Timothy Sands
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Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Entropy, 2023 We introduce a quantum Lernmatrix based on the Monte Carlo Lernmatrix in which n units are stored in the quantum superposition of log2(n) units representing On2log(n)2 binary sparse coded patterns.
Andreas Wichert
doaj +1 more source
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Mathematics, 2022 In this paper, we define and study Hyers–Ulam stability of order 1 for Euler’s equation and Hyers–Ulam stability of order m−1 for the Euler–Poisson equation in the calculus of variations in two special cases, when these equations have the form y″(x)=f(x)
Daniela Marian +2 more
doaj +1 more source
Advanced Science, EarlyView.This study demonstrates that in high‐alloy systems, nanoclusters with high solute tolerance can effectively suppress compositional segregation. This mitigation leads to a concurrent 18.7% increase in strength and 41.5% improvement in ductility, which is attributed to a shear‐bypass synergistic strengthening mechanism. The findings provide a new pathway
Wei Yu +10 more
wiley +1 more source
Sub‐Unit‐Cell Logic Governs Transport in TPMS Architectures
Advanced Science, EarlyView.ABSTRACT Next‐generation energy, thermal, and chemical systems require architectures capable of highly efficient transport across multiple length scales. Triply periodic minimal surfaces (TPMS), first conceptualized in 1865, offer inherently scalable geometries with exceptional transport potential, yet mechanistic links between topology and performance
Haozhang Zhong +16 more
wiley +1 more source