Lie methods in optics: An assessment

2005 ◽  
pp. 1-17 ◽  
Author(s):  
Peter W. Hawkes
Keyword(s):  
Lie Methods

Lie methods for color robot vision

Robotica ◽  
2008 ◽  
Vol 26 (4) ◽  
pp. 453-464 ◽  
Author(s):  
Reiner Lenz
Keyword(s):  
Color Image ◽  
Robot Vision ◽  
Image Sequences ◽  
Color Changes ◽  
Integrable Functions ◽  
Conical Section ◽  
Lie Methods ◽  
Color Signals ◽  
Half Axis ◽  
Square Integrable Functions

SUMMARYWe describe how Lie-theoretical methods can be used to analyze color related problems in machine vision. The basic observation is that the nonnegative nature of spectral color signals restricts these functions to be members of a limited, conical section of the larger Hilbert space of square-integrable functions. From this observation, we conclude that the space of color signals can be equipped with a coordinate system consisting of a half-axis and a unit ball with the Lorentz groups as natural transformation group. We introduce the theory of the Lorentz group SU(1, 1) as a natural tool for analyzing color image processing problems and derive some descriptions and algorithms that are useful in the investigation of dynamical color changes. We illustrate the usage of these results by describing how to compress, interpolate, extrapolate, and compensate image sequences generated by dynamical color changes.

Lie methods in Engel groups

2011 ◽  
pp. 551-559
Author(s):  
Michael Vaughan-Lee
Keyword(s):  
Lie Methods

Measuring lung function in mice: the phenotyping uncertainty principle

2003 ◽  
Vol 94 (4) ◽  
pp. 1297-1306 ◽  
Author(s):  
Jason H. T. Bates ◽  
Charles G. Irvin
Keyword(s):  
Lung Function ◽  
Uncertainty Principle ◽  
Input Impedance ◽  
Respiratory Mechanics ◽  
Human Lung ◽  
Measurement Precision ◽  
The Other ◽  
Murine Models ◽  
Experimental Control ◽  
Lie Methods

Measuring lung function in mice is essential for establishing the relevance of murine models to human lung disease. However, making such measurements presents particular technical challenges due to the small size of the animal, particularly with regard to the measurement of respiratory flows. In this review, we examine the various methods currently available for assessment of lung function in mice and contrast them in terms of a concept we call the phenotyping uncertainty principle; each method can be considered to lie somewhere along a continuum on which noninvasiveness must be traded off against experimental control and measurement precision. Unrestrained plethysmography in conscious mice represents the extreme of noninvasiveness and is highly convenient but provides respiratory measures that are so tenuously linked to respiratory mechanics that they cannot be considered as meaningful indicators of lung function. At the other extreme, the measurement of input impedance in anesthetized, paralyzed, tracheostomized mice is precise and specific but requires that an animal be studied under conditions far from natural. In between these two extremes lie methods that sacrifice some precision for a reduction in the level of invasiveness, a promising example being the measurement of transfer impedance in conscious, restrained mice. No method is optimal in all regards; therefore, the appropriate technique to use depends on the application.

scholarly journals Legendre polynomials: Lie methods and monomiality

2008 ◽  
Vol 47 (9-10) ◽  
pp. 887-893 ◽  
Author(s):  
G. Dattoli ◽  
B. Germano ◽  
M.R. Martinelli ◽  
Subuhi Khan ◽  
P.E. Ricci
Keyword(s):  
Legendre Polynomials ◽  
Lie Methods

scholarly journals Dormitory-Based Intervention Method for Children with Special Needs

2020 ◽  
Vol 15 (2) ◽  
pp. 241-258
Author(s):  
Darmin Tuwu ◽  
Bahtiar Bahtiar ◽  
Muhammad Arsyad ◽  
Suharty Roslan
Keyword(s):  
Child Protection ◽  
Social Institutions ◽  
Descriptive Study ◽  
Cultural Norms ◽  
Extracurricular Activity ◽  
Business World ◽  
Governmental Organization ◽  
Intervention Method ◽  
Lie Methods ◽  
Qualitative Descriptive

The article aims to elaborate the micro intervention method on fifty problem children guided in Social Institutions for children and adolescents of Social Office in Southeast Sulawesi Province. This qualitative descriptive study focuses on the study of problem children: mocking one another, skipping school, going out of the night without getting permission from the childminder, not following to do the prayer together, and liking to tell a lie. Methods of data-collecting are observation and interview. This study showed that dormitory-based micro intervention methods for problem children use mental-spiritual guiding, physical guiding, and extracurricular activity. The findings are as follows: 1) specifically for the children who mock their friends, they will be cultivated by way of advising and making them aware of resisting the deed of mocking because the conduct is a terrible deed, violating the ethics, and not to be in line with the religious and cultural norms; 2) for the children who do not follow to do the prayer together, to go out of night without getting permission from the boarder, skipping school, will be cultivated physically so that the children stop his bad habit and change it with a positive habit, such as: studying in, reading the Quran, doing sport, and sharing the other positive activities at night; and 3) there must be the supporting and collaboration with various stakeholders like a university, business world, society, and Non-Governmental Organization to realize the implementation of integrated child protection and to create social welfare of the children in the future.

Lie methods in group theory

2010 ◽  
pp. 567-585 ◽  
Author(s):  
E I Zel'manov ◽  
C. M. Campbell ◽  
E. F. Robertson ◽  
T. C. Hurley ◽  
S. J. Tobin ◽  
...  
Keyword(s):  
Group Theory ◽  
Lie Methods

Molecular insight into pseudolysin inhibition using the MM-PBSA and LIE methods

2006 ◽  
Vol 153 (2) ◽  
pp. 129-144 ◽  
Author(s):  
Olayiwola A. Adekoya ◽  
Nils-Peder Willassen ◽  
Ingebrigt Sylte
Keyword(s):  
Lie Methods ◽  
Insight Into

RESIDUAL PROPERTIES OF FREE PRO-P GROUPS

2001 ◽  
Vol 33 (5) ◽  
pp. 578-582 ◽  
Author(s):  
YIFTACH BARNEA
Keyword(s):  
Positive Characteristic ◽  
Congruence Subgroup ◽  
Probabilistic Method ◽  
Algebraic Groups ◽  
Local Fields ◽  
Random Generation ◽  
Zero Characteristic ◽  
Residual Properties ◽  
Characteristic Case ◽  
Lie Methods

Recall that if S is a class of groups, then a group G is residually-S if, for any element 1 ≠ g ∈ G, there is a normal subgroup N of G such that g ∉ N and G/N ∈ S. Let Λ be a commutative Noetherian local pro-p ring, with a maximal ideal M. Recall that the first congruence subgroup of SLd(Λ) is: SL1d(Λ) = ker (SLd(Λ) → SLd(Λ/M)).Let K ⊆ ℕ. We define SΛ(K) = ∪d∈K{open subgroups of SL1d(Λ)}. We show that if K is infinite, then for Λ = [ ]p[[t]] and for Λ = ℤp a finitely generated non-abelian free pro-p group is residually-SΛ(K). We apply a probabilistic method, combined with Lie methods and a result on random generation in simple algebraic groups over local fields. It is surprising that the case of zero characteristic is deduced from the positive characteristic case.

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