Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
A Relation between the Degree of a Random Algebraic Equation and the Distribution of Its Roots
Hironori HIRATA
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1979 Volume 15 Issue 5 Pages 654-659

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Abstract
The distribution of roots of a random algebraic equation, whose coefficients are dependent on one another, is studied. Each coefficient is assumed to take values of a normal distribution with an arbitrary mean and an arbitrary variance. In addition, the relation between the distribution of roots and the degree n of the algebraic equation, i.e., how the complex roots distribute as n→∞, is discussed.
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© The Society of Instrument and Control Engineers (SICE)
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