, 2010 碩士此篇論文的主要工作是介紹當我們給定一個微分方程時，我們將利用 Lie symmetry 這套工具來簡化所給之微分方程。而我們將以三個重要的例子來說明如何找到合適的 Lie symmetry。In this work a general systematic method based on the point symmetry theory of Lie group to find an invariant transformation of a given differential equation
張柏成; Chang, Po-cheng
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Hydrogen‐Assisted Fracture of Iron‐Based Fe–Ni–Al Alloys
Advanced Engineering Materials, EarlyView.Principal relations and fracture mechanisms of single‐phase and precipitate‐strengthened Fe–Ni–Al alloys subjected to prior electrochemical hydrogen charging are identified. The mechanisms of hydrogen effect on strength and microhardness are discussed, including hydrogen‐induced increase in microhardness and the role of hydrogen in fracture behavior ...
Nataliya Yadzhak +3 more
wiley +1 more source
Lie semigroups, homotopy, and global extensions of local homomorphisms
, 2015 For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie wedge W [...] g. If S is a Lie subsemigroup of G with subtangent wedge W we give sufficient conditions for S to be free on small enough local semigroups U
Lawson, Jimmie, Kizil, Eyüp
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The Lie Group Basis of Neuronal Membrane Architecture: Why the Hodgkin-Huxley Equations Take Their Form. [PDF]
Membranes (Basel)Melendy RF, Blue DH.
europepmc +1 more source
Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy
Advanced Engineering Materials, EarlyView.A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang +10 more
wiley +1 more source
Enhanced Indoor Mobile Robot Localization via Lie-Group IMU-UWB Fusion and Dual-Stage Kalman Filtering. [PDF]
Sensors (Basel)He Z, Tang X, Li M, Zhang F.
europepmc +1 more source
Influence of Test Temperature and Test Frequency on Fatigue Life of Aluminum Alloy EN AW‐2618A
Advanced Engineering Materials, EarlyView.The influence of test temperature and test frequency on the fatigue life of EN AW‐2618A is investigated. High‐cycle fatigue tests are performed at different test temperatures and frequencies on the 1000 h/230°C overaged state. Both test parameters reduce fatigue life due to time‐dependent damage mechanisms.
Ying Han +5 more
wiley +1 more source
Applications of Lie methods to computations with polycyclic groups
, 2008 In this thesis we demonstrate the algorithmic usefulness of the so-called Mal'cev correspondence for computations with infinite polycyclic groups.
Assmann, Björn
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A Lie group-based hybrid optimization framework for multi-objective UAV path planning using L-VGWO. [PDF]
Sci RepWang Y, Guo C, Shao Y, Zheng L, Deng X.
europepmc +1 more source
Current Status and Challenges in Data Collection for Aerospace Coatings Deposited by Plasma Spraying
Advanced Engineering Materials, EarlyView.An innovative approach has been integrated into the GRENAT project to optimize plasma spraying and coating performance. Raw materials are accelerated and melted in the plasma generated by torches, creating coatings. Monitoring sensors collect process data which are combined with ex situ characterization data.
Lila Randriamananjara +8 more
wiley +1 more source