Pure and Applied Mathematics Journal

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Volume 6, Issue 3, June 2017

  • Design of ALU and Code Converter Using Matrix Calculation

    Nirina Gilbert Rasolofoson, Raoelina Andriambololona

    Issue: Volume 6, Issue 3, June 2017
    Pages: 89-100
    Received: 3 April 2017
    Accepted: 15 April 2017
    Published: 27 May 2017
    DOI: 10.11648/j.pamj.20170603.11
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    Abstract: Arithmetic Logic Unit (ALU) is a fundamental building block of a central processing unit (CPU) in any computing system. The ALU is the hardware that performs logical (and, or, xor) and basic arithmetic (addition, subtraction, multiplication, division) operations. Thus, its construction requires techniques in which the treatment of operands should b... Show More
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  • Remarks on A-skew-adjoint, A-almost Similarity Equivalence and Other Operators in Hilbert Space

    Isaiah Nalianya Sitati, Bernard Nzimbi, Stephen Luketero, Jairus Khalagai

    Issue: Volume 6, Issue 3, June 2017
    Pages: 101-107
    Received: 28 April 2017
    Accepted: 9 May 2017
    Published: 29 June 2017
    DOI: 10.11648/j.pamj.20170603.12
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    Abstract: In this paper, notions of A-almost similarity and the Lie algebra of A-skew-adjoint operators in Hilbert space are introduced. In this context, A is a self-adjoint and an invertible operator. It is shown that A-almost similarity is an equivalence relation. Conditions under which A-almost similarity implies similarity are outlined and in which case ... Show More
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