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Encyclopedia > Mathematical constant

A mathematical constant is a quantity, usually a real number or a complex number, that arises naturally in mathematics and does not change. Unlike physical constants, mathematical constants are defined independently of any physical measurement. In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2. ... In mathematics, a complex number is a number of the form where a and b are real numbers, and i is the imaginary unit, with the property i 2 = −1. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... In physics, a physical constant is a physical quantity of a value that is generally believed to be both universal in nature and not believed to change in time. ...


Many particular numbers have special significance in mathematics, and arise in many different contexts. For example, up to multiplication with nonzero complex numbers, there is a unique holomorphic function f with f' = f. Therefore, f(1)/f(0) is a mathematical constant, the constant e. f is also a periodic function, and the absolute value of its period is another mathematical constant, 2π. Holomorphic functions are the central object of study of complex analysis; they are functions defined on an open subset of the complex number plane C with values in C that are complex-differentiable at every point. ... e is the unique number such that the value of the derivative (slope of a tangent line) of f (x) = ex (blue curve) at the point x = 0 is exactly 1. ... In mathematics, a periodic function is a function that repeats its values after some definite period has been added to its independent variable. ... In mathematics, the absolute value (or modulus[1]) of a real number is its numerical value without regard to its sign. ...


Mathematical constants are typically elements of the field of real numbers or complex numbers. Mathematical constants that one can talk about are definable numbers (and almost always also computable). In abstract algebra, a field is an algebraic structure in which the operations of addition, subtraction, multiplication and division (except division by zero) may be performed, and the same rules hold which are familiar from the arithmetic of ordinary numbers. ... In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2. ... In mathematics, a complex number is a number of the form where a and b are real numbers, and i is the imaginary unit, with the property i 2 = −1. ... A real number a is first-order definable in the language of set theory, without parameters, if there is a formula φ in the language of set theory, with one free variable, such that a is the unique real number such that φ(a) holds (in the von Neumann universe V). ... In mathematics, theoretical computer science and mathematical logic, the computable numbers, also known as the recursive numbers, are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm. ...


However, there are still some mathematical constants for which only very rough estimates are known.


An alternate sorting may be found at Mathematical constants (sorted by continued fraction representation). This is a list of mathematical constants sorted by their representations as continued fractions: (Constants known to be irrational have infinite continued fractions: their last term is . ...


Table of selected mathematical constants

Abbreviations used:

R - Rational number, I - Irrational number (may be algebraic or transcendental), A - Algebraic number (irrational), T - Transcendental number (irrational)
Gen - General, NuT - Number theory, ChT - Chaos theory, Com - Combinatorics, Inf - Information theory, Ana - Mathematical analysis
Symbol Value Name Field N First Described # of Known Digits
0
= 0 Zero Gen R c. 7th-5th century BC N/A
1
= 1 One, Unity Gen R N/A
i
= sqrt{-1} Imaginary unit Gen, Ana A 16th century N/A
π
≈ 3.14159 26535 89793 23846 26433 83279 50288 Pi, Archimedes' constant or Ludolph's number Gen, Ana T by c. 2000 BC 1,241,177,300,000
e
≈ 2.71828 18284 59045 23536 02874 71352 66249 Napier's constant, or Euler's number, base of Natural logarithm Gen, Ana T 1618 100,000,000,000
2
≈ 1.41421 35623 73095 04880 16887 24209 69807 Pythagoras' constant, square root of two Gen A by c. 800 BC 137,438,953,444
3
≈ 1.73205 08075 68877 29352 74463 41505 87236 Theodorus' constant, square root of three Gen A by c. 800 BC
γ
≈ 0.57721 56649 01532 86060 65120 90082 40243 Euler-Mascheroni constant Gen, NuT 1735 116,580,041
φ
≈ 1.61803 39887 49894 84820 45868 34365 63811 Golden ratio Gen A by 3rd century BC 3,141,000,000
ρ
≈ 1.32471 95724 47460 25960 90885 44780 97340 Plastic constant NuT A 1928
β*
≈ 0.70258 Embree-Trefethen constant NuT
δ
≈ 4.66920 16091 02990 67185 32038 20466 20161 Feigenbaum constant ChT 1975
α
≈ 2.50290 78750 95892 82228 39028 73218 21578 Feigenbaum constant ChT
C2
≈ 0.66016 18158 46869 57392 78121 10014 55577 Twin prime constant NuT 5,020
M1
≈ 0.26149 72128 47642 78375 54268 38608 69585 Meissel-Mertens constant NuT 1866
1874
8,010
B2
≈ 1.90216 05823 Brun's constant for twin prime NuT 1919 10
B4
≈ 0.87058 83800 Brun's constant for prime quadruplets NuT
Λ
≈– 2.7 • 10-9 de Bruijn-Newman constant NuT 1950? none
K
≈ 0.91596 55941 77219 01505 46035 14932 38411 Catalan's constant Com 201,000,000
K
≈ 0.76422 36535 89220 66299 Landau-Ramanujan constant NuT 30,010
K
≈ 1.13198 824 Viswanath's constant NuT 8
L
= 1 Legendre's constant NuT N/A
μ
≈ 1.45136 92348 83381 05028 39684 85892 02744 Ramanujan-Soldner constant NuT 75,500
EB
≈ 1.60669 51524 15291 76378 33015 23190 92458 Erdős–Borwein constant NuT I
β
≈ 0.28016 94990 23869 13303 Bernstein's constant Ana
λ
≈ 0.30366 30029 Gauss-Kuzmin-Wirsing constant Com 1974 385
σ
≈ 0.35323 63718 54995 98454 Hafner-Sarnak-McCurley constant NuT 1993
λ, μ
≈ 0.62432 99885 Golomb-Dickman constant Com, NuT 1930
1964
≈ 0.64341 05463 Cahen's constant T 1891 4000
≈ 0.66274 34193 Laplace limit
≈ 0.80939 40205 Alladi-Grinstead constant NuT
Λ
≈ 1.09868 58055 Lengyel's constant Com 1992
≈ 1.18656 91104 Khinchin-Lévy constant NuT
ζ(3)
≈ 1.20205 69031 59594 28539 97381 61511 44999 Apéry's constant I 1979 2,000,000,000
θ
≈ 1.30637 78838 63080 69046 Mills' constant NuT 1947
≈ 1.45607 49485 82689 67139 95953 51116 54356 Backhouse's constant
≈ 1.46707 80794 Porter's constant NuT 1975
≈ 1.53960 07178 Lieb's square ice constant Com 1967
≈ 1.70521 11401 05367 Niven's constant NuT 1969
K
≈ 2.58498 17596 Sierpiński's constant
≈ 2.68545 20010 65306 44530 Khinchin's constant NuT 1934 7350
F
≈ 2.80777 02420 Fransén-Robinson constant Ana
L
≈ 0.5 Landau's constant Ana 1

In mathematics, a rational number is a number which can be expressed as a ratio of two integers. ... In mathematics, an irrational number is any real number that is not a rational number — that is, it is a number which cannot be expressed as a fraction m/n, where m and n are integers. ... In mathematics, an algebraic number is any number that is a root of an algebraic equation, a non-zero polynomial with integer (or equivalently, rational) coefficients. ... In mathematics, a transcendental number is any complex number that is not algebraic, that is, not the solution of a non-zero polynomial equation with integer (or, equivalently, rational) coefficients. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 In mathematics and physics, chaos theory describes the behavior of certain nonlinear dynamical systems that under specific conditions exhibit dynamics that are sensitive to initial conditions (popularly referred to as the butterfly effect). ... Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. ... A bundle of optical fiber. ... Analysis has its beginnings in the rigorous formulation of calculus. ... For other uses, see zero or 0. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... In mathematics, a rational number is a number which can be expressed as a ratio of two integers. ... (2nd millennium BC - 1st millennium BC - 1st millennium) The 7th century BC started on January 1, 700 BC and ended on December 31, 601 BC. // Overview Events Ashurbanipal, king of Assyria who created the the first systematically collected library at Nineveh A 16th century depiction of the Hanging Gardens of... (2nd millennium BC - 1st millennium BC - 1st millennium) The 5th century BC started on January 1, 500 BC and ended on December 31, 401 BC. // The Parthenon of Athens seen from the hill of the Pnyx to the west. ... Look up one in Wiktionary, the free dictionary. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... In mathematics, a rational number is a number which can be expressed as a ratio of two integers. ... In mathematics, the imaginary unit (or sometimes the Latin or the Greek iota, see below) allows the real number system to be extended to the complex number system . ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Analysis has its beginnings in the rigorous formulation of calculus. ... In mathematics, an algebraic number is any number that is a root of an algebraic equation, a non-zero polynomial with integer (or equivalently, rational) coefficients. ... (15th century - 16th century - 17th century - more centuries) As a means of recording the passage of time, the 16th century was that century which lasted from 1501 to 1600. ... When a circles diameter is 1, its circumference is Ï€. The mathematical constant Ï€ is an irrational real number, approximately equal to 3. ... Archimedes of Syracuse (Greek: c. ... Ludolph van Ceulen (28 January 1540 – 31 December 1610) was a German mathematician. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Analysis has its beginnings in the rigorous formulation of calculus. ... In mathematics, a transcendental number is any complex number that is not algebraic, that is, not the solution of a non-zero polynomial equation with integer (or, equivalently, rational) coefficients. ... (Redirected from 2000 BC) (21st century BC - 20th century BC - 19th century BC - other centuries) (3rd millennium BC - 2nd millennium BC - 1st millennium BC) Events 2064 - 1986 BC -- Twin Dynasty wars in Egypt 2000 BC -- Farmers and herders travel south from Ethiopia and settle in Kenya. ... e is the unique number such that the value of the derivative (slope of a tangent line) of f (x) = ex (blue curve) at the point x = 0 is exactly 1. ... The mathematical constant e (occasionally called Eulers number after the Swiss mathematician Leonhard Euler, or Napiers constant in honor of the Scottish mathematician John Napier who introduced logarithms) is the base of the natural logarithm function. ... The natural logarithm, formerly known as the hyperbolic logarithm, is the logarithm to the base e, where e is equal to 2. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Analysis has its beginnings in the rigorous formulation of calculus. ... In mathematics, a transcendental number is any complex number that is not algebraic, that is, not the solution of a non-zero polynomial equation with integer (or, equivalently, rational) coefficients. ... Events March 8 - Johannes Kepler discovers the third law of planetary motion (he soon rejects the idea after some initial calculations were made but on May 15 confirms the discovery). ... Pythagoras of Samos (Greek: ; between 580 and 572 BC–between 500 BC and 490 BC) was an Ionian (Greek) philosopher[1] and founder of the religious movement called Pythagoreanism. ... The square root of two is the positive real number which, when multiplied by itself, gives a product of two. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... In mathematics, an algebraic number is any number that is a root of an algebraic equation, a non-zero polynomial with integer (or equivalently, rational) coefficients. ... Centuries: 10th century BC - 9th century BC - 8th century BC Decades: 850s BC 840s BC 830s BC 820s BC 810s BC - 800s BC - 790s BC 780s BC 770s BC 760s BC 750s BC Events and Trends 804 BC - Hadad-nirari IV of Assyria conquers Damascus. ... Theodorus of Cyrene was an Greek mathematician of the 5th century BC who was admired by Plato, who mentions him in several sources. ... In mathematics, a square root of a number x is a number r such that , or in words, a number r whose square (the result of multiplying the number by itself) is x. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... In mathematics, an algebraic number is any number that is a root of an algebraic equation, a non-zero polynomial with integer (or equivalently, rational) coefficients. ... Centuries: 10th century BC - 9th century BC - 8th century BC Decades: 850s BC 840s BC 830s BC 820s BC 810s BC - 800s BC - 790s BC 780s BC 770s BC 760s BC 750s BC Events and Trends 804 BC - Hadad-nirari IV of Assyria conquers Damascus. ... The Euler-Mascheroni constant is a mathematical constant, used mainly in number theory, and is defined as the limiting difference between the harmonic series and the natural logarithm: Its approximate value is γ ≈ 0. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Events April 16 - The London premiere of Alcina by George Frideric Handel, his first the first Italian opera for the Royal Opera House at Covent Garden. ... // Articles with similar titles include Golden mean (philosophy), the felicitous middle between two extremes, and Golden numbers, an indicator of years in astronomy and calendar studies. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... In mathematics, an algebraic number is any number that is a root of an algebraic equation, a non-zero polynomial with integer (or equivalently, rational) coefficients. ... The 3rd century BC started the first day of 300 BC and ended the last day of 201 BC. It is considered part of the Classical era, epoch, or historical period. ... The plastic number (also known as the plastic constant) is the unique real solution of the equation and has the value which is approximately 1. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... In mathematics, an algebraic number is any number that is a root of an algebraic equation, a non-zero polynomial with integer (or equivalently, rational) coefficients. ... Year 1928 (MCMXXVIII) was a leap year starting on Sunday (link will display full calendar) of the Gregorian calendar. ... In mathematics, the Embree-Trefethen constant is a threshold value in number theory labelled β*. For a fixed real β, consider the recurrence xn+1=xn±βxn-1 where the sign in the sum is chosen at random for each n independently with equal probabilities for + and -. In can be proven that... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... There are two mathematical constants called Feigenbaum constants, named after mathematician Mitchell Feigenbaum. ... A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 In mathematics and physics, chaos theory describes the behavior of certain nonlinear dynamical systems that under specific conditions exhibit dynamics that are sensitive to initial conditions (popularly referred to as the butterfly effect). ... Year 1975 (MCMLXXV) was a common year starting on Wednesday (link will display full calendar) of the Gregorian calendar. ... There are two mathematical constants called Feigenbaum constants, named after mathematician Mitchell Feigenbaum. ... A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 In mathematics and physics, chaos theory describes the behavior of certain nonlinear dynamical systems that under specific conditions exhibit dynamics that are sensitive to initial conditions (popularly referred to as the butterfly effect). ... The twin prime conjecture is a famous problem in number theory that involves prime numbers. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... The Meissel-Mertens constant is a mathematical constant, used mainly in number theory, and is defined as the limiting difference between the harmonic series summed only over the primes and the natural logarithm of the natural logarithm: Its value is approximately M ≈ 0. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... 1866 (MDCCCLXVI) is a common year starting on Monday of the Gregorian calendar or a common year starting on Wednesday of the 12-day-slower Julian calendar. ... Year 1874 (MDCCCLXXIV) was a common year starting on Thursday (link with display the full calendar) of the Gregorian calendar (or a common year starting on Saturday of the 12-day slower Julian calendar). ... In 1919 Viggo Brun showed that the sum of the reciprocals of the twin primes (pairs of prime numbers which differ by 2) converges to a mathematical constant now called Bruns constant for twin primes and usually denoted by B2 (sequence A065421 in OEIS): in stark contrast to the... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Year 1919 (MCMXIX) was a common year starting on Wednesday (link will display the full calendar). ... In 1919 Viggo Brun showed that the sum of the reciprocals of the twin primes (pairs of prime numbers which differ by 2) converges to a mathematical constant now called Bruns constant for twin primes and usually denoted by B2 (sequence A065421 in OEIS): in stark contrast to the... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... The de Bruijn-Newman constant, denoted by Λ, is a mathematical constant and is defined via the zeros of a certain function H(λ, z), where λ is a real parameter and z is a complex variable. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Year 1950 (MCML) was a common year starting on Sunday (link will display the full calendar) of the Gregorian calendar. ... Catalans constant K, which occasionally appears in estimates in combinatorics, is defined by or equivalently along with where K(x) is a complete elliptic integral of the first kind, and has nothing to do with the constant itself. ... Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. ... In mathematics, the Landau-Ramanujan constant occurs in a number theory result that the proportion of positive integers less than x which are the sum of two square numbers is, for large x, roughly proportional to The constant of proportionality is the Landau-Ramanujan constant. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Viswanaths constant is a mathematical constant, occurring in number theory - more specifically in the study of randomized Fibonacci sequences. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Legendres constant is a phantom that doesnt really exist. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... The Ramanujan-Soldner constant is a mathematical constant defined as the unique positive zero of the logarithmic integral function. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... The ErdÅ‘s–Borwein constant is the sum of the reciprocals of the Mersenne numbers. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... In mathematics, an irrational number is any real number that is not a rational number — that is, it is a number which cannot be expressed as a fraction m/n, where m and n are integers. ... Analysis has its beginnings in the rigorous formulation of calculus. ... In mathematics, the Gauss-Kuzmin-Wirsing operator occurs in the study of continued fractions; it is also related to the Riemann zeta function. ... Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. ... 1974 (MCMLXXIV) was a common year starting on Tuesday. ... http://mathworld. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Year 1993 (MCMXCIII) was a common year starting on Friday (link will display full 1993 Gregorian calendar). ... Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Year 1930 (MCMXXX) was a common year starting on Wednesday (link will display 1930 calendar) of the Gregorian calendar. ... 1964 (MCMLXIV) was a leap year starting on Wednesday (the link is to a full 1964 calendar). ... http://www. ... In mathematics, a transcendental number is any complex number that is not algebraic, that is, not the solution of a non-zero polynomial equation with integer (or, equivalently, rational) coefficients. ... Year 1891 (MDCCCXCI) was a common year starting on Thursday (link will display the full calendar) of the Gregorian calendar (or a common year starting on Saturday of the 12-day slower Julian calendar). ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. ... Year 1992 (MCMXCII) was a leap year starting on Wednesday (link will display full 1992 Gregorian calendar). ... In mathematics Lévys constant (sometimes known as the Khinchin-Lévy constant) occurs in an expression for the asymptotic behaviour of the denominators of the convergents of continued fractions. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... In mathematics, Apérys constant is a curious number that occurs in a variety of situations. ... In mathematics, an irrational number is any real number that is not a rational number — that is, it is a number which cannot be expressed as a fraction m/n, where m and n are integers. ... Also: 1979 by Smashing Pumpkins. ... In mathematics it is known that there exists a constant φ , Mills constant, such that the integer part of φ³n is a prime number, for all positive integers n. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... 1947 (MCMXLVII) was a common year starting on Wednesday (the link is to a full 1947 calendar). ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Year 1975 (MCMLXXV) was a common year starting on Wednesday (link will display full calendar) of the Gregorian calendar. ... Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. ... 1967 (MCMLXVII) was a common year starting on Sunday of the Gregorian calendar (the link is to a full 1967 calendar). ... http://mathworld. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... For the Stargate SG-1 episode, see 1969 (Stargate SG-1). ... The SierpiÅ„skis constant is a mathematical constant usually denoted as K. One way of defining it is by limiting the expression: where r2(k) is a number of representations of k as a sum of the form a2 + b2 for natural a and b. ... In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x, the infinitely many terms ai of the continued fraction expansion of x have an astonishing property: their geometric mean is a constant, known as Khinchins constant, which is independent of the value of x. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Year 1934 (MCMXXXIV) was a common year starting on Monday (link will display full 1934 calendar) of the Gregorian calendar. ... The Fransén-Robinson constant, sometimes denoted F, is the mathematical constant that represents the area between the reciprocal Gamma function, , and the positive x axis. ... Analysis has its beginnings in the rigorous formulation of calculus. ... In complex analysis, Landaus constants are certain mathematical constants that describe the behaviour of holomorphic functions defined on the unit disk. ... Analysis has its beginnings in the rigorous formulation of calculus. ...

See also

This is a list of mathematical constants sorted by their representations as continued fractions: (Constants known to be irrational have infinite continued fractions: their last term is . ... In mathematics, a continued fraction is an expression such as where a0 is some integer and all the other numbers an are positive integers. ... In mathematics and the mathematical sciences, a constant is a fixed, but possibly unspecified, value. ... In physics, a physical constant is a physical quantity of a value that is generally believed to be both universal in nature and not believed to change in time. ... An astronomical constant is a physical constant used in astronomy. ...

External links

  • Steven Finch's page of mathematical constants: http://pauillac.inria.fr/algo/bsolve/
  • Xavier Gourdon and Pascal Sebah's page of numbers, mathematical constants and algorithms: http://numbers.computation.free.fr/Constants/constants.html
  • Simon Plouffe's inverter: http://pi.lacim.uqam.ca/eng/
  • CECM's Inverse symbolic calculator (ISC) (tells you how a given number can be constructed from mathematical constants): http://oldweb.cecm.sfu.ca/projects/ISC/

  Results from FactBites:
 
Mathematical constant - Wikipedia, the free encyclopedia (336 words)
A mathematical constant is a quantity, usually a real number or a complex number, that arises naturally in mathematics and does not change.
Therefore, f(1)/f(0) is a mathematical constant, the constant e.
Mathematical constants are typically elements of the field of real numbers or complex numbers.
Encyclopedia: Mathematical constant (3463 words)
The Euler-Mascheroni constant is a mathematical constant, used mainly in number theory, and is defined as the limiting difference between the harmonic series and the natural logarithm: Intriguingly, the constant is also given by the integral: Its value is approximately γ ≈ 0.
The Meissel-Mertens constant is a mathematical constant, used mainly in number theory, and is defined as the limiting difference between the harmonic series summed only over the primes and the natural logarithm of the natural logarithm: Its value is approximately M ≈ 0.
The Sierpińskis constant is a mathematical constant usually denoted as K. One way of defining it is by limiting the expression: where r2(k) is a number of representations of k as a sum of the form a2 + b2 for natural a and b.
  More results at FactBites »

 
 

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