30,597 research outputs found

    Efficient digital comparison technique for logic circuits

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    Tolerance compare technique indicates discompare only when numerical difference value exceeds prescribed limit. Algorithm involving binary number properties is defined, in lieu of arithmetic operation which requires relatively complex circuitry. Extension of algorithm may be made to encompass tolerances other than one unit

    A non-commutative Julia Inequality

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    We prove a Julia inequality for bounded non-commutative functions on polynomial polyhedra. We use this to deduce a Julia inequality for holomorphic functions on classical domains in Cd\mathbb{C}^d. We look at differentiability at a boundary point for functions that have a certain regularity there

    Algebraic pairs of isometries

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    We consider pairs of commuting isometries that are annihilated by a polynomial. We show that the polynomial must be inner toral, which is a geometric condition on its zero set. We show that cyclic pairs of commuting isometries are nearly unitarily equivalent if they are annihilated by the same minimal polynomial

    Aspects of Non-commutative Function Theory

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    We discuss non commutative functions, which naturally arise when dealing with functions of more than one matrix variable
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