# Category: Real transcendental numbers

Prouhet–Thue–Morse constant
In mathematics, the Prouhet–Thue–Morse constant, named for , Axel Thue, and Marston Morse, is the number—denoted by τ—whose binary expansion 0.01101001100101101001011001101001... is given by the Thue–
Approximations of π
Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, thi
Gelfond–Schneider constant
The Gelfond–Schneider constant or Hilbert number is two to the power of the square root of two: 2√2 = 2.6651441426902251886502972498731... which was proved to be a transcendental number by Rodion Kuzm
Universality probability
Universality probability is an abstruse probability measure in computational complexity theory that concerns universal Turing machines.
Gelfond's constant
In mathematics, Gelfond's constant, named after Aleksandr Gelfond, is eπ, that is, e raised to the power π. Like both e and π, this constant is a transcendental number. This was first established by G
Universal parabolic constant
The universal parabolic constant is a mathematical constant. It is defined as the ratio, for any parabola, of the arc length of the parabolic segment formed by the latus rectum to the focal parameter.
Natural logarithm of 2
The decimal value of the natural logarithm of 2 (sequence in the OEIS)is approximately The logarithm of 2 in other bases is obtained with the formula The common logarithm in particular is (OEIS: ) The
Chaitin's constant
In the computer science subfield of algorithmic information theory, a Chaitin constant (Chaitin omega number) or halting probability is a real number that, informally speaking, represents the probabil
Lemniscate constant
In mathematics, the lemniscate constant ϖ is a transcendental mathematical constant that is the ratio of the perimeter of Bernoulli's lemniscate to its diameter, analogous to the definition of π for t
Dottie number
In mathematics, the Dottie number is a constant that is the unique real root of the equation , where the argument of is in radians. The decimal expansion of the Dottie number is . Since is decreasing
E (mathematical constant)
The number e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828, which can be characterized in many ways: * It is the base of the natural logarithms * It is the
Omega constant
The omega constant is a mathematical constant defined as the unique real number that satisfies the equation It is the value of W(1), where W is Lambert's W function. The name is derived from the alter
Pi
The number π (/paɪ/; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formula
Liouville number
In number theory, a Liouville number is a real number x with the property that, for every positive integer n, there exists a pair of integers (p, q) with q > 1 such that . Liouville numbers are "almos
Cahen's constant
In mathematics, Cahen's constant is defined as the value of an infinite series of unit fractions with alternating signs: Here denotes Sylvester's sequence, which is defined recursively by Combining th
Champernowne constant
In mathematics, the Champernowne constant C10 is a transcendental real constant whose decimal expansion has important properties. It is named after economist and mathematician D. G. Champernowne, who