In mathematics, a real algebraic integer α > 1 is a Salem number if all its conjugate roots have absolute value no greater than 1, and at least one has absolute value exactly 1. Salem numbers are of interest in Diophantine approximation and harmonic analysis. They are named after Raphaël Salem.
Read more about Salem Number: Properties, Relation With Pisot–Vijayaraghavan Numbers
Famous quotes containing the words salem and/or number:
“without luggage or defenses,
giving up my car keys and my cash,
keeping only a pack of Salem cigarettes
the way a child holds on to a toy.
I signed myself in where a stranger
puts the inked-in X’s”
—Anne Sexton (1928–1974)
“Even in ordinary speech we call a person unreasonable whose outlook is narrow, who is conscious of one thing only at a time, and who is consequently the prey of his own caprice, whilst we describe a person as reasonable whose outlook is comprehensive, who is capable of looking at more than one side of a question and of grasping a number of details as parts of a whole.”
—G. Dawes Hicks (1862–1941)