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Showing 1 to 7 of 7 for “"Diophantine Equation"”.

  1. A NOVEL LINEAR DIOPHANTINE EQUATION-BAESD LOW DIAMETER STRUCTURED PEER-TO-PEER NETWORK

    … Peer-to-Peer (P2P) system. We have used Linear Diophantine Equation (LDE) as the mathematical base to realize the architecture. Note that all existing structured approaches use Distributed Hash Tables (DHT) and Secure Hash Algorithm (SHA) to realize their architectures. Use of LDE in designing …

    siu-theses Repository record for A NOVEL LINEAR DIOPHANTINE EQUATION-BAESD LOW DIAMETER STRUCTURED PEER-TO-PEER NETWORK (opens in a new tab)

  2. Thue equations and related topics

    … number of solutions to a family of quartic Thue equations. We also give an upper bound upon the number of solutions to a family of quartic Thue inequalities. Using the Thue-Siegel principle and the theory of linear forms in logarithms, an upper bound is given for general quartic Thue equations. …

    ubc Repository record for Thue equations and related topics (opens in a new tab)

  3. Unification and equation solving in nilpotent groups and monoids

    Unification and equation solving have been considered for groups [44], semigroups [43], abelian groups [39] and abelian semigroups [25], [33], [68], [69]. In this thesis we consider partially commutative groups and monoids. Nilpotency provides us with a partial commutativity condition in the case …

    whiterose Repository record for Unification and equation solving in nilpotent groups and monoids (opens in a new tab)

  4. Algebraic synthesis methods for linear multivariable control systems

    … of interest - results to the study of matrix equations over rings , such as : A . X + B . Y = C , (X. A + Y . B =C) (1) A· X = B , (y. A = B) (2) A·X·B = C (3) A·X + Y·B = C, X·A + B·Y = C, A·X·B + C·Y·D = E (4) The main objective of this dissertation is to further investigate conditions for …

    city-london Repository record for Algebraic synthesis methods for linear multivariable control systems (opens in a new tab)

  5. Základy kvadratických těles

    Cílem práce je popsat základy kvadratických těles. Úvodní kapitoly jsou zaměřeny na aritmetiku celých čísel a polynomů. V hlavní části se zabýváme pojmem kvadratického tělesa, celým algebraickým číslům tohoto tělesa, Gaussovu tělesu a Gaussovým celým číslům. Závěr je věnován kvadratickým tělesům, …

    brno-tech Repository record for Základy kvadratických těles (opens in a new tab)