In mathematics, a Pisot–Vijayaraghavan number, also called simply a Pisot number or a PV number, is a real algebraic integer greater than 1, all of whose...

take the minimal polynomial P ( x ) {\displaystyle P(x)} of a Pisot–Vijayaraghavan number and its reciprocal polynomial, P ∗ ( x ) {\displaystyle P^{*}(x)}...

integer Quadratic irrational number Fundamental unit Root of unity Gaussian period Pisot–Vijayaraghavan number Salem number Some of the following examples...

Irrational number Square root of two Quadratic irrational Integer square root Algebraic number Pisot–Vijayaraghavan number Salem number Transcendental number e...

^{-1}{\sqrt {5}}.\end{aligned}}} ⁠ φ {\displaystyle \varphi } ⁠ is a Pisot–Vijayaraghavan number. The Swiss architect Le Corbusier, famous for his contributions...

plastic number (Dutch: het plastische getal) from the 1950s onward. In 1944 Carl Siegel showed that ρ is the smallest possible Pisot–Vijayaraghavan number and...

investigators of the numerical set associated with his name, the Pisot–Vijayaraghavan numbers. He followed the classical path of great French mathematicians...

iteration Meyer set Pisot–Vijayaraghavan number Pitteway triangulation Plesiohedron Quasicrystal Quasitriangulation Salem number Steiner point (triangle)...

integers is non-coincidental, because the golden ratio is a Pisot–Vijayaraghavan number. The ratios of Fibonacci or Lucas numbers can also make almost...

on. Circle group Equidistributed sequence One-parameter group Pisot–Vijayaraghavan number Poussin proof Significand "Decimal part". Oxford Dictionaries...

Hardy–Ramanujan number Hardy–Ramanujan theorem Hardy's inequality Hardy's theorem Hardy field Hardy Z function Pisot–Vijayaraghavan number Ulam spiral Titchmarsh...

complex roots q and r are both less than 1 (and hence p is a Pisot–Vijayaraghavan number), the powers of these roots approach 0 for large n, and P ( n...

(1938–1974), worked on number theory and algebraic geometry T. S. Vijayaraghavan (1902–1955), worked on Pisot–Vijayaraghavan number Ravindran Kannan, Professor...

Research, Bangladesh Tirukkannapuram Vijayaraghavan, mathematician, co-discoverer of Pisot–Vijayaraghavan number Zeba Islam Seraj, scientist known for...

certain improper integrals which would otherwise be undefined Pisot–Vijayaraghavan number (PV-number), a real algebraic integer Pickleball Victoria, an Australian...

law – Guillaume Piobert (1793–1871) Pisot–Vijayaraghavan number – Charles Pisot and Tirukkannapuram Vijayaraghavan Planck constant, length, mass, time...

Sundman solves the n-body problem for n=3. Axel Thue discovers Pisot–Vijayaraghavan numbers. Harvey Cushing identifies Cushing's disease, caused by a...

to fire Weil and promote his colleague Vijayaraghavan to the vacated position. However, Weil and Vijayaraghavan respected one another. Rather than play...