In this paper we explicitly determine the derivation algebra, automorphism group of quasi Qn-filiform Lie algebras, and applying some properties of root vector decomposition we obtain their isomorphism theorem. AMS Classification: 17B05; 17B30

‎in this paper, we formulate the fourth order sturm-liouville problem (fslp) as a lie group matrix differential equation. by solving this ma- trix differential equation by lie group magnus expansion, we compute the eigenvalues of the fslp. the magnus expansion is an infinite series of multiple integrals of lie brackets. the approximation is, in fact, the truncation of magnus expansion and a gauss...

One of the challenging issues in the domain of C2 in complex and urban terrain is how to assist human combat staff to effectively collaborate and make decisions under multiple contexts, and to help people switch their attentions to the most urgent decision tasks. This paper describes a comprehensive approach that uses RPD-enabled agents to support timely decision-making under multiple contexts....

in this paper, lie group structure and lie algebra structure of unit complex 3-sphere     are studied. in order to do this, adjoint representations of unit biquaternions (complexified quaternions) are obtained. also, a correspondence between the elements of     and the special complex unitary matrices    (2) is given by expressing biquaternions as 2-dimensional bicomplex numbers    .  the relat...

Multi-context team decision making under time stress is an extremely challenging issue faced by various real world application domains. In this study we employ an experience-based cognitive agent architecture (R-CAST) to address the informational challenges associated with military command and control (C) decision making teams, the performance of which can be significantly affected by dynamic c...

using the riemann-liouville fractional differintegral operator, the lie theory is reformulated. the fractional poisson bracket over the fractional phase space as 3n state vector is defined to be the fractional lie derivative. its properties are outlined and proved. a theorem for the canonicity of the transformation using the exponential operator is proved. the conservation of its generator is p...

Data clustering methods have been proven to be a successful data mining technique in the analysis of gene expression data. The Cluster affinity search technique (CAST) developed by Ben-Dor, et. al., 1999, which has been shown to cluster gene expression data well, has two drawbacks. First, the algorithm uses a fixed initial threshold value to start the clustering. As stated in the original paper...

This document contains several sections of the CAST-256 AES Submission Package delivered to NIST on June 9, 1998. All complete submissions received by NIST will be made public in late August at the First AES Candidate Conference, but the following material is being made available now so that public analysis of the CAST-256 algorithm may begin (see, for example, http://www.ii.uib.no/~larsr/aes.h...

The objectives of this project are; to demonstrate that hydrographic variability in shelf waters can be hind-cast, to a quantifiable degree, using a simple 1 dimensional physical model. To demonstrate that the model can be used to interpret the regional variability of ocean colour in terms of the mechanisms of physical forcing on phytoplankton growth. The effects of tidal front dynamics and the...