Category
page 1Diophantine approximation
diophantine approximation
approximating real numbers with rational numbers
Liouville number
transcendental number possessing an excellent sequence of rational number approximations
Markov number
an integer x, y, or z that can solve the Markov equation x^2 + y^2 + z^2 = 3xyz
proof that e is irrational
mathematical proof that Euler's number (e) is irrational
Beatty sequence
a sequence of integers formed by rounding down the integer multiples of a positive irrational number
Dirichlet's approximation theorem
theorem in number theory
Hurwitz's theorem
theorem in number theory
Thue–Siegel–Roth theorem
theorem that algebraic numbers do not have unusually accurate rational approximations
Weyl's inequality
inequalities in number theory and matrix theory
irrationality measure
Equidistribution theorem
Integer multiples of many irrational mod 1 are uniformly distributed on the circle
discrepancy theory
theory of irregularities of distribution
Littlewood conjecture
Mathematical problem
low-discrepancy sequence
type of mathematical sequence
equidistributed sequence
type of number sequence
Siegel's lemma
Theorem
Kronecker's theorem
theorem
Van der Corput sequence
example of the simplest one-dimensional low-discrepancy sequence over the unit interval; it is constructed by reversing the base-n representation of the sequence of natural numbers (1, 2, 3, …)
Duffin–Schaeffer theorem
theorem in metric number theory
Lagrange number