Results 41 to 50 of about 76,470 (160)
On the Entropy and the Maximum Entropy Principle of Uncertain Variables
Entropy, 2023 A new variance formula is developed using the generalized inverse of an increasing function. Based on the variance formula, a new entropy formula for any uncertain variable is provided.
Yujun Liu, Guanzhong Ma
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TreeSpider: In‐Canopy Exploration With Tether‐Based Aerial Modular Arms
Advanced Robotics Research, EarlyView.A tethered drone with perching arms and a 360° ring enables unprecedented maneuverability within dense forest canopies. By dynamically adjusting tether length and decoupling pitch from the frame, it navigates between branches, senses multiple trees, and interacts physically with foliage.
Luca Romanello +7 more
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Abstract and Applied Analysis, 2013 We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following . We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when .
Heejeong Koh, Dongseung Kang
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Log-aesthetic Curves as Similarity Geometric Analogue of Euler's Elasticae
, 2018 In this paper we consider the log-aesthetic curves and their generalization which are used in CAGD. We consider those curves under similarity geometry and characterize them as stationary integrable flow on plane curves which is governed by the Burgers ...
Inoguchi, Jun-ichi +5 more
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Numerical Modeling of Photothermal Self‐Excited Composite Oscillators
Advanced Robotics Research, EarlyView.We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu +6 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper gives analytical solutions to a nonlinear oscillator with coordinate-dependent mass and Euler–Lagrange equation using the parameterized homotopy perturbation method.
MY Adamu, P Ogenyi, AG Tahir
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Udwadia–Kalaba Equation for Constrained Mechanical Systems: Formulation and Applications
Chinese Journal of Mechanical Engineering, 2018 There are many achievements in the field of analytical mechanics, such as Lagrange Equation, Hamilton’s Principle, Kane’s Equation. Compared to Newton–Euler mechanics, analytical mechanics have a wider range of applications and the formulation procedures
Xiao-Min Zhao +3 more
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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
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, 2007 Based on the modified Landau-Lifshitz-Gilbert equation for an arbitrary Stoner particle under an external magnetic field and a spin-polarized electric current, differential equations for the optimal reversal trajectory, along which the magnetization ...
C. He +4 more
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.It is a fact that slippage causes tracking errors in both longitudinal and lateral directions which results to have less travel distance in tracking a reference trajectory. Less travel distance means having energy loss of the battery and carrying loads less than planned.
Gokhan Bayar +2 more
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