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99 articles for “C*-Algebra”
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Research ArticleOpen accessIn the abstractA Rigorous Proof for the Invariant Study of the Problem in Section VI in "Matched Subspace Detectors"Fangyuan Nan, Yaonan Wang, Fuhai LiProblem statement: This research provided rigorous proof for the invariant study of the problem in section VI in "matched subspace detectors". About 14 years ago an important research entitled "matched subspace detectors" was published in IEEE transactions on signal processing, Vol. 42, No. 8, August 1994. Since its publication, the study has been widely cited in many areas. The main … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 6,974 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimal Location of Static Var Compensator Device for Damping OscillationsM. W. Mustafa, N. MagajiProblem statement: Static Var Compensators (SVC) devices are used to improve voltage and reactive power conditions in AC systems. An additional task of SVC is to increase transmission capacity as result of power oscillation damping. The effectiveness of this controller depends on its optimal location and proper signal selection in the power system network. A residue factor had been proposed … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 2 · 30 Jun 2009 · 8,371 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe New Variable-Length Key Symmetric CryptosystemDavood Rezaei Pour, Mohamad Rushdan Md Said, Kamel Ariffin Mohd Atan, Mohamed OthmanProblem statement: In this study, we proposed a new 64-bit block cipher that accepted a variable-length key up to 512 bits, which was suitable for implementation in a variety of environments. Approach: The cipher algorithm was a 16-round Feistel network with a bijective function f and was made up of two key-dependent 16×16 S-boxes, bitwise rotations, and a carefully designed … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 7,213 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Strongly Coupled Linear Elliptic Systems with Application to Otolith Membrane DistortionI.K. YoussefProblem Statement: In this research, the author discussed the problems associated with the approximation of the mixed derivative terms appearing in strongly coupled linear elliptic systems by the finite difference method over irregular domains. To avoid the appearance of mixed derivative terms the author introduced a reformulation for the system through introducing a new dependent variable which adds one supplementary … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,714 accessesView PDFCite
Research ArticleOpen accessIn the abstractMeasures on the Quotient Spaces of the IntegersNorris Sookoo, Peter ChamiSK-partitions were introduced by Sharma and Kaushik, who defined distances (metrics) between vectors in terms of partitions of the alphabet set Fq , the set of the ring of integers modulo q. These distances were applied in Coding Theory. The research examined algebraic and topological aspects of SK-partitions and related sets of measures. A lattice of SK-partitions was introduced and … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,009 accessesView PDFCite
Research ArticleOpen accessIn the abstractStudy of Families of Curves in the Euclidian PlanBelaib Lekhmissi, Bouarroudj Nadra, Hocine El HabibNon-standard analysis techniques are more considered in approaching complex mathematical domains. By using some concepts of non-standard analysis methods such as regionalization method, we deal with a family of curves in an Euclidian plan. The solutions of the algebraic equations representing these curves in a plan have an hyperbolic forms. …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,834 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Presence of Cascading Effect in the Key Expansion Mechanism of Rijndael-The AESY. Talwar, C.E. Veni Madhavan, Navin RajpalRijndael-The AES is 128-bit block cipher based on an elegant algebraic structure over F28. This cipher employs a simple approach to its substitution, permutation (SP) operations. We take a close look on the Key Expansion Mechanism of Rijndael - The AES. This study highlights on the presence of the cascading effect in its key expansion mechanism. Thus, lowering the brute-force … …Journal of Computer Science, Vol. 2, Issue 2 · 28 Feb 2006 · 6,807 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Partial Linearization of Byte Substitution Transformation of Rijndael-The AESY. Talwar, C. E.V. Madhavan, Navin RajpalRijndael-The AES[1-3] is 128-bit block cipher based on an elegant algebraic structure over F28. This cipher employs a simple approach to its substitution, permutation (SP) operations. We take a close look at its internals; the byte substitution transformation function is the only non-linear function in Rijndael - The AES. This transformation comprises of two steps operating on each byte. Here … …Journal of Computer Science, Vol. 2, Issue 1 · 31 Jan 2006 · 6,861 accessesView PDFCite