Search results
Results From The WOW.Com Content Network
The omega constant is a mathematical constant defined as the unique real number that satisfies the equation ... (sequence A030178 in the OEIS).
A real number is random if the binary sequence representing the real number is an algorithmically random sequence. Calude, Hertling, Khoussainov, and Wang showed [6] that a recursively enumerable real number is an algorithmically random sequence if and only if it is a Chaitin's Ω number.
Omega constant 0.56714 32904 09783 ... where s k is the kth term of Sylvester's sequence 2, 3, 7, 43, 1807, ... Foias constant is the unique real number such that if ...
An uncountably infinite cardinal having cofinality means that there is a (countable-length) sequence of cardinals < whose limit (i.e. its least upper bound) is (see Easton's theorem). As per the definition above, ℵ ω {\displaystyle \aleph _{\omega }} is the limit of a countable-length sequence of smaller cardinals.
the omega constant 0.5671432904097838729999686622... [22] an asymptotic lower bound notation related to big O notation; in probability theory and statistical mechanics, the support; a solid angle [23] the omega baryon; the arithmetic function counting a number's prime factors counted with multiplicity; the density parameter in cosmology [24]
The different possible notions of convergence relate to how such a behavior can be characterized: two readily understood behaviors are that the sequence eventually takes a constant value, and that values in the sequence continue to change but can be described by an unchanging probability distribution.
Landau–Ramanujan constant; Laplace limit; Legendre's constant; Lemniscate constant; Lévy's constant; Lieb's square ice constant; Linnik's constant; Irrationality measure; Liouville number; Look-and-say sequence
The Euler–Mascheroni constant γ: In 2010 it has been shown that an infinite list of Euler-Lehmer constants (which includes γ/4) contains at most one algebraic number. [ 51 ] [ 52 ] In 2012 it was shown that at least one of γ and the Gompertz constant δ is transcendental.