Higher order eigensensitivity analysis of damped systems with repeated eigenvalues

2004 ◽  
Vol 82 (1) ◽  
pp. 63-69 ◽  
Author(s):  
Kang-Min Choi ◽  
Sang-Won Cho ◽  
Man-Gi Ko ◽  
In-Won Lee
Keyword(s):  
Higher Order ◽  
Repeated Eigenvalues ◽  
Damped Systems

Eigensensitivity analysis of damped systems with distinct and repeated eigenvalues

2013 ◽  
Vol 72 ◽  
pp. 21-34 ◽  
Author(s):  
Li Li ◽  
Yujin Hu ◽  
Xuelin Wang ◽  
Ling Ling
Keyword(s):  
Repeated Eigenvalues ◽  
Damped Systems

scholarly journals An Improved Method for Computing Eigenpair Derivatives of Damped System

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Pingxin Wang ◽  
Jieer Wu ◽  
Xibei Yang
Keyword(s):  
Homogeneous Equation ◽  
Condition Numbers ◽  
Improved Method ◽  
Numerical Examples ◽  
Repeated Eigenvalues ◽  
Damped System ◽  
Particular Solution ◽  
Relative Errors ◽  
Damped Systems ◽  
Derivatives Of

The calculation of eigenpair derivatives plays an important role in vibroengineering. This paper presents an improved algorithm for the eigenvector derivative of the damped systems by dividing it into a particular solution and general solution of the corresponding homogeneous equation. Compared with the existing methods, the proposed algorithm can significantly reduce the condition number of the equation for particular solution. Therefore, the relative errors of the calculated solutions are notably cut down. The results on two numerical examples show that such strategy is effective in reducing the condition numbers for both distinct and repeated eigenvalues.

Dual systems for all: Higher-order, role-based relational reasoning as a uniquely derived feature of human cognition

2019 ◽  
Vol 42 ◽  
Author(s):  
Daniel J. Povinelli ◽  
Gabrielle C. Glorioso ◽  
Shannon L. Kuznar ◽  
Mateja Pavlic
Keyword(s):  
Temporal Reasoning ◽  
Higher Order ◽  
Important Case ◽  
Human Cognition ◽  
Relational Reasoning ◽  
Dual Systems ◽  
First Order ◽  
Reasoning System ◽  
Role Based

Abstract Hoerl and McCormack demonstrate that although animals possess a sophisticated temporal updating system, there is no evidence that they also possess a temporal reasoning system. This important case study is directly related to the broader claim that although animals are manifestly capable of first-order (perceptually-based) relational reasoning, they lack the capacity for higher-order, role-based relational reasoning. We argue this distinction applies to all domains of cognition.

Quantitative EPMA of nitrogen : A tricky element in the electron-probe microanalyzer

1992 ◽  
Vol 50 (2) ◽  
pp. 1622-1623
Author(s):  
G.F. Bastin ◽  
H.J.M. Heijligers
Keyword(s):  
Background Subtraction ◽  
Electron Probe ◽  
Detection System ◽  
Higher Order ◽  
Light Elements ◽  
Strong Suppression ◽  
Electron Probe Microanalyzer ◽  
Quantitative Epma ◽  
Peak Count ◽  
Lead Stearate

Among the ultra-light elements B, C, N, and O nitrogen is the most difficult element to deal with in the electron probe microanalyzer. This is mainly caused by the severe absorption that N-Kα radiation suffers in carbon which is abundantly present in the detection system (lead-stearate crystal, carbonaceous counter window). As a result the peak-to-background ratios for N-Kα measured with a conventional lead-stearate crystal can attain values well below unity in many binary nitrides . An additional complication can be caused by the presence of interfering higher-order reflections from the metal partner in the nitride specimen; notorious examples are elements such as Zr and Nb. In nitrides containing these elements is is virtually impossible to carry out an accurate background subtraction which becomes increasingly important with lower and lower peak-to-background ratios. The use of a synthetic multilayer crystal such as W/Si (2d-spacing 59.8 Å) can bring significant improvements in terms of both higher peak count rates as well as a strong suppression of higher-order reflections.

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