Results 161 to 170 of about 6,695 (326)
Mathematical Modeling of Measured Recalescence Velocities
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A moving‐boundary problem of synchronous directional and volumetric solidification in undercooled liquid drops is formulated and solved. Directional solidification is caused by the temperature gradient along the spatial direction, whereas volumetric growth of new phase elements is caused by the melt undercooling ahead of the phase transition ...
Dmitri V. Alexandrov +3 more
wiley +1 more source
An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma
, 2003 Jonathan Sondow
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley +1 more source
Physical modeling and geometric shape simulation for one-dimensional flexible objects with cylindrical surface constraints. [PDF]
Sci Rep, 2023 Mei Y, Du H, Jiang Q, Xiong W.
europepmc +1 more source
Magnetic Resonance in Medicine, EarlyView.Abstract Purpose To demonstrate flow‐suppressed two‐dimensional (2D) spin‐echo and spin‐echo diffusion echo‐planar imaging (EPI) sequences using hyperbolic secant (HS) pulses for both π/2 excitation and π refocusing. Theory and Methods A theoretical framework to derive phase dispersion of moving spins under π/2 excitation and π refocusing using HS ...
Jae‐Youn Keum +3 more
wiley +1 more source
A Data‐Driven Approach to Integrated Adaptive Morphing and Guidance for Cruise Missiles
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT To address the complex coupling between aerodynamic characteristics and guidance control for morphing flight missiles, this study proposes a data‐driven approach to integrated adaptive morphing and guidance. Firstly, an aerodynamic surrogate model is constructed using a fully connected neural network (FCNN), mapping the configuration ...
Ming‐Yu Wu +6 more
wiley +1 more source
On Euler's formula by which convergent series are made more rapidly convergent [PDF]
, 1872 František Josef Studnička
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Explicit double shuffle relations and a generalization of Euler's decomposition formula
, 2008 Li Guo, Bingyong Xie
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study presents a comprehensive and standardized foundation for the mathematical modeling and control of flying‐base‐mounted manipulators, addressing several critical challenges in aerial robotics. The primary contributions of this study include: (1) the development of a unified framework for computing the system's generalized forces ...
S. A. Mirnajafizadeh, A. M. Shafei
wiley +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In recent years, learning robot manipulator dynamics with deep networks has been extensively studied, as it avoids deriving the analytical expression of the robot dynamics equations. In particular, deep Lagrangian networks that incorporate the prior knowledge of Lagrangian mechanics into the deep networks have shown prominent advantages in ...
Xianglong Liang +3 more
wiley +1 more source