Pisot–Vijayaraghavan Number

Pisot–Vijayaraghavan Number

Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1303-3462-8
Объём: 92 страниц
Масса: 160 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

High Quality Content by WIKIPEDIA articles! In mathematics, a Pisot–Vijayaraghavan number, also called simply a Pisot number or a PV number, is an algebraic integer ? that is real and exceeds 1, but such that its conjugate elements (the other roots of its minimal polynomial) are all less than 1 in magnitude. That is, there is an irreducible monic polynomial (leading coefficient 1) with integer coefficients P(x), ? > 1, is a real root, every other real root of P(x) has absolute value less than 1 and each pair of complex conjugate pair of roots {a + bi, a ? bi} has product a2 + b2 < 1.

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