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List of mathematical constants

A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems.[1] For example, the constant π may be defined as the ratio of the length of a circle's circumference to its diameter. The following list includes a decimal expansion and set containing each number, ordered by year of discovery.

The column headings may be clicked to sort the table alphabetically, by decimal value, or by set. Explanations of the symbols in the right hand column can be found by clicking on them.

List

Mathematical constants sorted by their representations as continued fractions

The following list includes the continued fractions of some constants and is sorted by their representations. Continued fractions with more than 20 known terms have been truncated, with an ellipsis to show that they continue. Rational numbers have two continued fractions; the version in this list is the shorter one. Decimal representations are rounded or padded to 10 places if the values are known.

Sequences of constants

See also

Notes

  1. ^ Both i and −i are roots of this equation, though neither root is truly "positive" nor more fundamental than the other as they are algebraically equivalent. The distinction between signs of i and −i is in some ways arbitrary, but a useful notational device. See imaginary unit for more information.

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Site MathWorld Wolfram.com

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  2. ^ Weisstein, Eric W. "Pythagoras's Constant". MathWorld.
  3. ^ Weisstein, Eric W. "Theodorus's Constant". MathWorld.
  4. ^ Weisstein, Eric W. "Golden Ratio". MathWorld.
  5. ^ Weisstein, Eric W. "Silver Ratio". MathWorld.
  6. ^ Weisstein, Eric W. "Delian Constant". MathWorld.
  7. ^ Weisstein, Eric W. "Self-Avoiding Walk Connective Constant". MathWorld.
  8. ^ Weisstein, Eric W. "Polygon Inscribing". MathWorld.
  9. ^ Weisstein, Eric W. "Wallis's Constant". MathWorld.
  10. ^ Weisstein, Eric W. "e". MathWorld.
  11. ^ Weisstein, Eric W. "Natural Logarithm of 2". MathWorld.
  12. ^ Weisstein, Eric W. "Lemniscate Constant". MathWorld.
  13. ^ Weisstein, Eric W. "Euler–Mascheroni Constant". MathWorld.
  14. ^ Weisstein, Eric W. "Erdos-Borwein Constant". MathWorld.
  15. ^ Weisstein, Eric W. "Omega Constant". MathWorld.
  16. ^ Weisstein, Eric W. "Apéry's Constant". MathWorld.
  17. ^ Weisstein, Eric W. "Laplace Limit". MathWorld.
  18. ^ Weisstein, Eric W. "Soldner's Constant". MathWorld.
  19. ^ Weisstein, Eric W. "Gauss's Constant". MathWorld.
  20. ^ Weisstein, Eric W. "Hermite Constants". MathWorld.
  21. ^ Weisstein, Eric W. "Liouville's Constant". MathWorld.
  22. ^ Weisstein, Eric W. "Continued Fraction Constants". MathWorld.
  23. ^ Weisstein, Eric W. "Ramanujan Constant". MathWorld.
  24. ^ Weisstein, Eric W. "Glaisher-Kinkelin Constant". MathWorld.
  25. ^ Weisstein, Eric W. "Catalan's Constant". MathWorld.
  26. ^ a b Weisstein, Eric W. "Dottie Number". MathWorld.
  27. ^ Weisstein, Eric W. "Mertens Constant". MathWorld.
  28. ^ Weisstein, Eric W. "Universal Parabolic Constant". MathWorld.
  29. ^ Weisstein, Eric W. "Cahen's Constant". MathWorld.
  30. ^ Weisstein, Eric W. "Gelfonds Constant". MathWorld.
  31. ^ Weisstein, Eric W. "Gelfond-Schneider Constant". MathWorld.
  32. ^ Weisstein, Eric W. "Favard Constants". MathWorld.
  33. ^ Weisstein, Eric W. "Golden Angle". MathWorld.
  34. ^ Weisstein, Eric W. "Sierpinski Constant". MathWorld.
  35. ^ Weisstein, Eric W. "Landau-Ramanujan Constant". MathWorld.
  36. ^ Weisstein, Eric W. "Nielsen-Ramanujan Constants". MathWorld.
  37. ^ Weisstein, Eric W. "Gieseking's Constant". MathWorld.
  38. ^ Weisstein, Eric W. "Bernstein's Constant". MathWorld.
  39. ^ Weisstein, Eric W. "Tribonacci Constant". MathWorld.
  40. ^ Weisstein, Eric W. "Brun's Constant". MathWorld.
  41. ^ Weisstein, Eric W. "Twin Primes Constant". MathWorld.
  42. ^ Weisstein, Eric W. "Plastic Constant". MathWorld.
  43. ^ Weisstein, Eric W. "Bloch Constant". MathWorld.
  44. ^ Weisstein, Eric W. "Confidence Interval". MathWorld.
  45. ^ Weisstein, Eric W. "Landau Constant". MathWorld.
  46. ^ Weisstein, Eric W. "Thue-Morse Constant". MathWorld.
  47. ^ Weisstein, Eric W. "Golomb–Dickman Constant". MathWorld.
  48. ^ a b Weisstein, Eric W. "Lebesgue Constants". MathWorld.
  49. ^ Weisstein, Eric W. "Feller–Tornier Constant". MathWorld.
  50. ^ Weisstein, Eric W. "Champernowne Constant". MathWorld.
  51. ^ Weisstein, Eric W. "Salem Constants". MathWorld.
  52. ^ Weisstein, Eric W. "Khinchin's Constant". MathWorld.
  53. ^ Weisstein, Eric W. "Levy Constant". MathWorld.
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  55. ^ Weisstein, Eric W. "Copeland–Erdos Constant". MathWorld.
  56. ^ Weisstein, Eric W. "Mills Constant". MathWorld.
  57. ^ Weisstein, Eric W. "Gompertz Constant". MathWorld.
  58. ^ Weisstein, Eric W. "Artin's Constant". MathWorld.
  59. ^ Weisstein, Eric W. "Porter's Constant". MathWorld.
  60. ^ Weisstein, Eric W. "Lochs' Constant". MathWorld.
  61. ^ Weisstein, Eric W. "Liebs Square Ice Constant". MathWorld.
  62. ^ Weisstein, Eric W. "Niven's Constant". MathWorld.
  63. ^ Weisstein, Eric W. "Stephen's Constant". MathWorld.
  64. ^ Weisstein, Eric W. "Paper Folding Constant". MathWorld.
  65. ^ Weisstein, Eric W. "Reciprocal Fibonacci Constant". MathWorld.
  66. ^ a b Weisstein, Eric W. "Feigenbaum Constant". MathWorld.
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  70. ^ Weisstein, Eric W. "Fransen-Robinson Constant". MathWorld.
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  72. ^ Weisstein, Eric W. "Conway's Constant". MathWorld.
  73. ^ Weisstein, Eric W. "Hafner-Sarnak-McCurley Constant". MathWorld.
  74. ^ Weisstein, Eric W. "Backhouse's Constant". MathWorld.
  75. ^ Weisstein, Eric W. "Random Fibonacci Sequence". MathWorld.
  76. ^ Weisstein, Eric W. "Komornik-Loreti Constant". MathWorld.
  77. ^ Weisstein, Eric W. "Heath-Brown-Moroz Constant". MathWorld.
  78. ^ Weisstein, Eric W. "MRB Constant". MathWorld.
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  83. ^ Weisstein, Eric W. "Golomb-Dickman Constant Continued Fraction". MathWorld.
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  86. ^ "Hermite Constants".
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  88. ^ "Favard Constants".

Site OEIS.org

  1. ^ OEIS: A000796
  2. ^ OEIS: A019692
  3. ^ OEIS: A002193
  4. ^ OEIS: A002194
  5. ^ OEIS: A002163
  6. ^ OEIS: A001622
  7. ^ OEIS: A014176
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  11. ^ OEIS: A092526
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  13. ^ a b OEIS: A085365
  14. ^ OEIS: A007493
  15. ^ OEIS: A001113
  16. ^ OEIS: A002162
  17. ^ OEIS: A062539
  18. ^ OEIS: A001620
  19. ^ OEIS: A065442
  20. ^ OEIS: A030178
  21. ^ a b OEIS: A002117
  22. ^ OEIS: A033259
  23. ^ a b OEIS: A070769
  24. ^ OEIS: A014549
  25. ^ OEIS: A246724
  26. ^ OEIS: A012245
  27. ^ OEIS: A052119
  28. ^ OEIS: A060295
  29. ^ a b OEIS: A074962
  30. ^ OEIS: A006752
  31. ^ OEIS: A003957
  32. ^ OEIS: A077761
  33. ^ OEIS: A103710
  34. ^ OEIS: A118227
  35. ^ OEIS: A039661
  36. ^ a b OEIS: A007507
  37. ^ OEIS: A111003
  38. ^ OEIS: A131988
  39. ^ OEIS: A062089
  40. ^ a b OEIS: A064533
  41. ^ OEIS: A072691
  42. ^ OEIS: A143298
  43. ^ OEIS: A073001
  44. ^ OEIS: A058265
  45. ^ a b c OEIS: A065421
  46. ^ OEIS: A005597
  47. ^ a b OEIS: A060006
  48. ^ a b OEIS: A085508
  49. ^ OEIS: A220510
  50. ^ OEIS: A081760
  51. ^ a b OEIS: A014571
  52. ^ OEIS: A084945
  53. ^ OEIS: A243277
  54. ^ OEIS: A065493
  55. ^ OEIS: A033307
  56. ^ a b OEIS: A073011
  57. ^ OEIS: A002210
  58. ^ OEIS: A100199
  59. ^ OEIS: A086702
  60. ^ a b OEIS: A033308
  61. ^ OEIS: A051021
  62. ^ a b OEIS: A073003
  63. ^ OEIS: A163973
  64. ^ OEIS: A163973
  65. ^ OEIS: A195696
  66. ^ a b OEIS: A005596
  67. ^ a b OEIS: A086237
  68. ^ OEIS: A086819
  69. ^ a b OEIS: A243309
  70. ^ OEIS: A118273
  71. ^ OEIS: A033150
  72. ^ a b OEIS: A065478
  73. ^ a b OEIS: A143347
  74. ^ a b OEIS: A079586
  75. ^ OEIS: A006890
  76. ^ OEIS: A100264
  77. ^ a b OEIS: A073012
  78. ^ OEIS: A094692
  79. ^ OEIS: A058655
  80. ^ OEIS: A006891
  81. ^ a b OEIS: A062546
  82. ^ OEIS: A074738
  83. ^ OEIS: A014715
  84. ^ a b OEIS: A085849
  85. ^ OEIS: A072508
  86. ^ OEIS: A078416
  87. ^ OEIS: A055060
  88. ^ a b OEIS: A118228
  89. ^ OEIS: A037077
  90. ^ a b OEIS: A051006
  91. ^ OEIS: A112302
  92. ^ OEIS: A085848
  93. ^ a b OEIS: A249205
  94. ^ OEIS: A175639
  95. ^ OEIS: A225336
  96. ^ OEIS: A006280
  97. ^ OEIS: A002852
  98. ^ OEIS: A014538
  99. ^ OEIS: A014572
  100. ^ OEIS: A030168
  101. ^ OEIS: A030167
  102. ^ OEIS: A003417
  103. ^ OEIS: A002211
  104. ^ OEIS: A001203

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