scholarly journals Distribution of eigenvalues in the presence of higher order turning points

1977 ◽  
Vol 229 ◽  
pp. 111-111 ◽  
Author(s):  
Anthony Leung
Keyword(s):  
Turning Points ◽  
Higher Order ◽  
Distribution Of Eigenvalues

scholarly journals On the asymptotic series solution of some higher order linear differential equations at turning points

1984 ◽  
Vol 7 (3) ◽  
pp. 541-548
Author(s):  
Arthur D. Gorman
Keyword(s):  
Differential Equations ◽  
Series Solution ◽  
Turning Points ◽  
Asymptotic Series ◽  
Higher Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Asymptotic Series Solution ◽  
Linear Differential

The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of second-order “wave type” differential equations at turning points. The formalism also applies to higher order linear differential equations, as we make explicit here illustrating with some4th order equations of physical significance.

scholarly journals Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations

2005 ◽  
Vol 38 (15) ◽  
pp. 3317-3336 ◽  
Author(s):  
Takashi Aoki ◽  
Takahiro Kawai ◽  
Shunsuke Sasaki ◽  
Akira Shudo ◽  
Yoshitsugu Takei
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Turning Points ◽  
Higher Order

Higher Order Turning Points

1994 ◽  
Vol 64 (2-3) ◽  
pp. 155-166 ◽  
Author(s):  
T.Y. Li ◽  
Xiaoshen Wang
Keyword(s):  
Turning Points ◽  
Higher Order

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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