# LMATH_CONSTANTS_EXTENDED (TagTable / global constants)

Overview

### Constant identifier, values and description

Identifier & Value | Description
--- | ---
LMATH_ALLADI_GRINSTEAD 0.8093940205 | Alladi-Grinstead constant is the Infinite product constant
LMATH_APERY 1.20205690315959428539973816151145 | Apery's constant
LMATH_BACKHOUSE 1.45607494858268967139959535111654 | Backhouse's constant
LMATH_BERNSTEIN 0.28016949902386913303 | Bernstein's constant
LMATH_BRAUN_PRIME_QUADR 0.8705883800 | Braun's constant for prime quadruplets
LMATH_BRAUN_TWIN_PRIME 1.9021605823 | Braun's constant for twin primes
LMATH_BRUIJN_NEWMAN -2.7E-9 | de Bruijn-Newman constant
LMATH_CAHEN 0.6434105463 | Cahen's constant is defined as an infinite series of unit fractions, with alternating signs, derived from Sylvester's sequence
LMATH_CATALAN 0.91596559417721901505460351493238 | Catalan's constant G, which appears in combinatorics
LMATH_EMBREE_TREFETHEN 0.70258 | Embree-Trefethen constant is a threshold value labelled β*
LMATH_ERDOS_BORWEIN 1.60669515241529176378330152319092 | Erdos-Borwein constant is the sum of the reciprocals of the Mersenne numbers
LMATH_EULER_MASCHERONI 0.57721566490153286060651209008240 | Euler-Mascheroni constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma (γ).
LMATH_EULER_MASCHERONI_INV 1.73245471460063347358302531586084 | Euler-Mascheroni inverse constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma (γ).
LMATH_EULER_MASCHERONI_SQR 0.33317792380771867431837613635524 | Euler-Mascheroni square constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma (γ).
LMATH_FEIGENBAUM_ALFA 2.50290787509589282228390287321822 | Feigenbaum constants are two mathematical constants which both express ratios in a bifurcation diagram for a non-linear map
LMATH_FEIGENBAUM_DELTA 4.66920160910299067185320382046620 | Feigenbaum constants are two mathematical constants which both express ratios in a bifurcation diagram for a non-linear map
LMATH_FRANSEN_ROBINSON 2.80777024202851936522150118655777 | Fransén-Robinson constant, sometimes denoted F, is the mathematical constant that represents the area between the graph of the reciprocal Gamma function, 1 / Γ(x), and the positive x axis
LMATH_GAUSS_KUZMIN_WIRSING 0.30366300289873265859744812190156 | Gauss-Kuzmin-Wirsing constant is the transfer operator of the Gauss map
LMATH_GOLOMB_DICKMAN 0.62432998854355087099293638310083 | Golomb-Dickman constant arises in the theory of random permutations and in number theory
LMATH_GOMPERTZ 0.59634736232319407434107849936928 | Gompertz Constant OEIS A073003
LMATH_HAFNER_SARNAK_MCCURLEY 0.35323637185499598454 | Hafner-Sarnak-McCurley constant representing the probability that the determinants of two randomly chosen square integer matrices will be relatively prime
LMATH_KHINCHIN 2.68545200106530644530971483548180 | Khinchin's constant for almost all real numbers x, coefficients ai of the continued fraction expansion of x have a finite geometric mean that is independent of the value of x and is known as Khinchin's constant
LMATH_LANDAU 0.5 | Landau's constant
LMATH_LANDAU_RAMANUJAN 0.76422365358922066299069873125009 | Landau-Ramanujan constant
LMATH_LAPLACE_LIMIT 0.66274341934918158097474209710925 | Laplace limit is the maximum value of the eccentricity for which a solution to Kepler's equation, in terms of a power series in the eccentricity, converges
LMATH_LEGENDRE 1.0 | Legendre's constant, capture the asymptotic behavior of the prime-counting function pi(x). Its value is now known to be exactly 1.
LMATH_LENGYEL 1.0986858055 | Lengyel's constant
LMATH_LEVY 3.27582291872181115978768188245384 | Levy's constant occurs in an expression for the asymptotic behavior of the denominators of the convergent of continued fractions
LMATH_LIEB_QUARE_ICE 1.5396007178 | Lieb's square ice constant is a mathematical constant used in the field of combinatorics to quantify the number of Eulerian orientations of grid graphs.
LMATH_MEISSEL_MERTEENS 0.26149721284764278375542683860870 | Meissel–Mertens constant limiting difference between the harmonic series summed only over the primes and the natural logarithm of the natural logarithm
LMATH_MILLS 1.30637788386308069046861449260261 | Mills' constant is defined as the smallest positive real number A such that the floor function of the double exponential function [A^{3^{n}}] is a prime number, for all natural numbers n.
LMATH_MRB 0.187859 | MRB constant is defined as the upper limit of the partial sums
LMATH_NIVEN 1.70521114010536776428855145343451 | Niven's constant is the largest exponent appearing in the prime factorization of any natural number n "on average"
LMATH_OMEGA 0.56714329040978387299996866221036 | Omega constant defined as the unique real number that satisfies the equation - Omega e^Omega = 1
LMATH_PARABOLIC 2.29558714939263807403429804918949 | Universal parabolic constant 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.
LMATH_PLASTIC_RATIO 1.32471795724474602596090885447810 | Plastic number the unique real solution of the cubic equation x^3=x+1
LMATH_PORTER 1.4670780794 | Porter's constant C arises in the study of the efficiency of the Euclidean algorithm
LMATH_RAMANUJAN_SOLDNER 1.45136923488338105028396848589203 | Ramanujan-Soldner constant defined as the unique positive zero of the logarithmic integral function
LMATH_SIERPINSKI 2.58498175957925321706589358738317 | Sierpiński's constant usually denoted as K.
LMATH_TWIN_PRIME 0.66016181584686957392781211001456 | twin prime constant C2
LMATH_VISWANATH 1.1319882487943 | Viswanath's constant, the growth rate of the random Fibonacci sequence is equal to