30,597 research outputs found
Efficient digital comparison technique for logic circuits
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
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 . We look at differentiability
at a boundary point for functions that have a certain regularity there
Algebraic pairs of isometries
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
We discuss non commutative functions, which naturally arise when dealing with
functions of more than one matrix variable
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