Daftar tetapan matematis

Sebuah tetapan matematika adalah sebuah bilangan kunci yang nilainya ditetapkan oleh sebuah definisi yang tidak ambigu, sering kali dirujuk oleh sebuah simbol (misalnya, sebuah huruf alfabet), atau oleh nama matematikawan untuk mempermudah penggunaannya di berbagai masalah-masalah matematika.^[1]^[2] Sebagai contoh, tetapan π dapat didefinisikan sebagai rasio dari panjang sebuah keliling lingkaran dengan diameternya. Daftar berikut ini termasuk sebuah ekspansi desimal dan kumpulan yang berisi setiap bilangan, diurutkan berdasarkan tahun penemuan.

Penjelasan dari simbol-simbol di kolom sebelah kanan dapat ditemukan dengan mengkliknya.

Zaman dahulu

Nama	Simbol	Ekspansi desimal	Rumus	Tahun	Himpunan
Satu	$1$	1	Tidak ada^{[nb 1]}	Prasejarah	$\mathbb {N}$
Dua	$2$	2	$1+1$	Prasejarah	$\mathbb {N}$
Setengah	${\frac {1}{2}}$	0.5	$1/2$	Prasejarah	$\mathbb {Q}$
Pi	$\pi$	3.14159 26535 89793 23846 ^{[Mw 1]}^{[OEIS 1]}	Nisbi keliling lingkaran ke diameternya	1900 hingga 1600 SM^[3]	$\mathbb {T}$
Akar kuadrat dari 2, tetapan Pythagoras.^[4]	${\sqrt {2}}$	1.41421 35623 73095 04880 ^{[Mw 2]}^{[OEIS 2]}	Akar positif dari $x^{2}=2$	1800 hingga 1600 SM^[5]	$\mathbb {A}$
Akar kuadrat dari 3, tetapan Theodorus^[6]	${\sqrt {3}}$	1.73205 08075 68877 29352 ^{[Mw 3]}^{[OEIS 3]}	Akar positif dari $x^{2}=3$	465 hingga 398 SM	$\mathbb {A}$
Akar kuadrat dari 5^[7]	${\sqrt {5}}$	2.23606 79774 99789 69640^{[OEIS 4]}	Akar positif dari $x^{2}=5$		$\mathbb {A}$
Phi, Golden ratio^[1]^[8]	${\varphi }$	1.61803 39887 49894 84820 ^{[Mw 4]}^{[OEIS 5]}	Akar positif dari $x^{2}-x-1=0$	~300 SM	$\mathbb {A}$
Nol	$0$	0	Identitas aditif: $x+0=x$	300-100 abad SM^[9]	$\mathbb {Z}$
Negatif satu	$-1$	−1	$1-2$	300-200 SM	$\mathbb {Z}$
Akar kubik dari 2 (Tetapan Delian)	${\sqrt[{3}]{2}}$	1.25992 10498 94873 16476 ^{[Mw 5]}^{[OEIS 6]}	Akar real dari $x^{3}=2$	46-120 M^[10]	$\mathbb {A}$
Akar kubik dari 3	${\sqrt[{3}]{3}}$	1.44224 95703 07408 38232^{[OEIS 7]}	Akar real dari $x^{3}=3$		$\mathbb {A}$

Abad pertengahan dan modern awal

Nama	Simbol	Ekspansi desimal	Rumus	Tahun	Himpunan
Satuan khayal ^[1]^[11]	${i}$	$0 + 1 i$	Baik dari dua akar dari $x^{2}=-1$ ^{[nb 2]}	1501 hingga 1576	$\mathbb {C}$
Tetapan Wallis	$W$	2.09455 14815 42326 59148 ^{[Mw 6]}^{[OEIS 8]}	${\sqrt[{3}]{\frac {45-{\sqrt {1929}}}{18}}}+{\sqrt[{3}]{\frac {45+{\sqrt {1929}}}{18}}}$	1616 hingga 1703	$\mathbb {A}$
Bilangan Euler^[1]^[12]	${e}$	2.71828 18284 59045 23536 ^{[Mw 7]}^{[OEIS 9]}	$\lim _{n\to \infty }\!\left(\!1\!+\!{\frac {1}{n}}\right)^{n}$ ^{[nb 3]}	1618^[13]	$\mathbb {T}$
Logaritma natural dari 2 ^[14]	$\ln 2$	0.69314 71805 59945 30941 ^{[Mw 8]}^{[OEIS 10]}	$\sum _{n=1}^{\infty }{\frac {1}{n2^{n}}}=\sum _{n=1}^{\infty }{\frac {({-}1)^{n+1}}{n}}={\frac {1}{1}}-{\frac {1}{2}}+{\frac {1}{3}}-{\frac {1}{4}}+{\cdots }$	1619,^[15] 1668^[16]	$\mathbb {T}$
Mimpi Sophomore₁ J.Bernoulli ^[17]	${I}_{1}$	0.78343 05107 12134 40705 ^{[OEIS 11]}	$\int _{0}^{1}\!x^{x}\,dx=\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n^{n}}}={\frac {1}{1^{1}}}-{\frac {1}{2^{2}}}+{\frac {1}{3^{3}}}-{\cdots }$	1697
Mimpi Sophomore₂ J.Bernoulli ^[18]	${I}_{2}$	1.29128 59970 62663 54040 ^{[Mw 9]}^{[OEIS 12]}	$\int _{0}^{1}\!{\frac {1}{x^{x}}}\,dx=\sum _{n=1}^{\infty }{\frac {1}{n^{n}}}={\frac {1}{1^{1}}}+{\frac {1}{2^{2}}}+{\frac {1}{3^{3}}}+{\frac {1}{4^{4}}}+\cdots$	1697
Tetapan lemniskat^[19]	${\varpi }$	2.62205 75542 92119 81046 ^{[Mw 10]}^{[OEIS 13]}	$\pi \,{G}=4{\sqrt {\tfrac {2}{\pi }}}\,\Gamma {\left({\tfrac {5}{4}}\right)^{2}}={\tfrac {1}{4}}{\sqrt {\tfrac {2}{\pi }}}\,\Gamma {\left({\tfrac {1}{4}}\right)^{2}}=4{\sqrt {\tfrac {2}{\pi }}}\left({\tfrac {1}{4}}!\right)^{2}$	1718 to 1798	$\mathbb {T}$
Tetapan Euler–Mascheroni^[20]	${\gamma }$	0.57721 56649 01532 86060 ^{[Mw 11]}^{[OEIS 14]}	${\begin{aligned}\sum _{n=1}^{\infty }\sum _{k=0}^{\infty }{\frac {(-1)^{k}}{2^{n}+k}}&=\sum _{n=1}^{\infty }\left({\frac {1}{n}}-\ln \left(1+{\frac {1}{n}}\right)\right)\\&=\int _{0}^{1}-\ln \left(\ln {\frac {1}{x}}\right)\,dx=-\Gamma '(1)=-\Psi (1)\end{aligned}}$	1735	$\mathbb {R} \setminus \mathbb {Q}$ ?
Analog mengenai tetapan Euler–Mascheroni	${\gamma }$	0.42816 57248 71235 07519	$\lim _{n\to \infty }\!\left(\sum _{k=2}^{n}{\frac {1}{k\ln(k)}}-\ln \left(\ln(n)\right)+\ln \left(\ln(2)\right)\!\right)$	1735 hingga 1745	$\mathbb {T}$ ?
Tetapan Erdős–Borwein^[21]	${E}_{\,B}$	1.60669 51524 15291 76378 ^{[Mw 12]}^{[OEIS 15]}	$\sum _{m=1}^{\infty }\sum _{n=1}^{\infty }{\frac {1}{2^{mn}}}=\sum _{n=1}^{\infty }{\frac {1}{2^{n}-1}}={\frac {1}{1}}\!+\!{\frac {1}{3}}\!+\!{\frac {1}{7}}\!+\!{\frac {1}{15}}\!+\!...$	1749^[22]	$\mathbb {R} \setminus \mathbb {Q}$
Limit Laplace ^[23]	${\lambda }$	0.66274 34193 49181 58097 ^{[Mw 13]}^{[OEIS 16]}	${\frac {x\;e^{\sqrt {x^{2}+1}}}{{\sqrt {x^{2}+1}}+1}}=1$	~1782	$\mathbb {T}$ ?
Tetapan Gauss ^[24]	${G}$	0.83462 68416 74073 18628 ^{[Mw 14]}^{[OEIS 17]}	${\frac {1}{\mathrm {agm} \left(1,{\sqrt {2}}\right)}}={\frac {4{\sqrt {2}}\,\left({\tfrac {1}{4}}!\right)^{2}}{\pi ^{3}{2}}}={\frac {2}{\pi }}\int _{0}^{1}{\frac {dx}{\sqrt {1-x^{4}}}}$ dimana agm berarti purata aritmetik-geometrik	1799^[25]	$\mathbb {T}$

Abad ke-19

Nama	Simbol	Ekspansi desimal	Rumus	Tahun	Himpunan
Tetapan Ramanujan–Soldner^[26]^[27]	${\mu }$	1.45136 92348 83381 05028 ^{[Mw 15]}^{[OEIS 18]}	$\mathrm {li} (x)=\int \limits _{0}^{x}{\frac {dt}{\ln t}}=0$ Akar dari fungsi integral logaritmik.	1812^{[Mw 16]}
Tetapan Hermite ^[28]	$\gamma _{_{2}}$	1.15470 05383 79251 52901 ^{[Mw 17]}	${\frac {2}{\sqrt {3}}}={\frac {1}{\cos \,({\frac {\pi }{6}})}}$	1822 hingga 1901	$\mathbb {A}$
Bilangan Liouville ^[29]	${\text{£}}_{\text{Li}}$	0.11000 10000 00000 00000 0001 ^{[Mw 18]}^{[OEIS 19]}	$\sum _{n=1}^{\infty }{\frac {1}{10^{n!}}}={\frac {1}{10^{1!}}}+{\frac {1}{10^{2!}}}+{\frac {1}{10^{3!}}}+{\frac {1}{10^{4!}}}+\cdots$	Sebelum tahun 1844	$\mathbb {T}$
Hermite–Ramanujan constant^[30]	${R}$	262 53741 26407 68743 .99999 99999 99250 073 ^{[Mw 19]}^{[OEIS 20]}	$e^{\pi {\sqrt {163}}}$	1859	$\mathbb {T}$
Tetapan Catalan^[31]^[32]^[33]	${C}$	0.91596 55941 77219 01505 ^{[Mw 20]}^{[OEIS 21]}	$\int _{0}^{1}\!\!\int _{0}^{1}\!\!{\frac {1}{1{+}x^{2}y^{2}}}\,\mathrm {d} x\,\mathrm {d} y=\!\sum _{n=0}^{\infty }\!{\frac {(-1)^{n}}{(2n{+}1)^{2}}}\!=\!{\frac {1}{1^{2}}}{-}{\frac {1}{3^{2}}}{+}{\cdots }$	1864	$\mathbb {T}$ ?
Bilangan Dottie ^[34]	$d$	0.73908 51332 15160 64165 ^{[Mw 21]}^{[OEIS 22]}	$\lim _{x\to \infty }\cos ^{[x]}(c)=\lim _{x\to \infty }\underbrace {\cos(\cos(\cos(\cdots (\cos(c)))))} _{x}$	1865^{[Mw 21]}	$\mathbb {T}$
Tetapan Meissel–Mertens ^[35]	${M}$	0.26149 72128 47642 78375 ^{[Mw 22]}^{[OEIS 23]}	$\lim _{n\rightarrow \infty }\!\!\left(\sum _{p\leq n}{\frac {1}{p}}\!-\ln(\ln(n))\!\right)\!\!={\underset {\!\!\!\!\gamma :\,{\text{tetapan Euler}},\,\,p:\,{\text{prima}}}{\!\gamma \!+\!\!\sum _{p}\!\left(\!\ln \!\left(\!1\!-\!{\frac {1}{p}}\!\right)\!\!+\!{\frac {1}{p}}\!\right)}}$	1866 dan 1873	$\mathbb {T}$ ?
Tetapan Weierstrass ^[36]	$\sigma \left({\frac {1}{2}}\right)$	0.47494 93799 87920 65033 ^{[Mw 23]}^{[OEIS 24]}	${\frac {e^{\frac {\pi }{8}}{\sqrt {\pi }}}{4\cdot 2^{3/4}{({\frac {1}{4}}!)^{2}}}}$	1872 ?
Tetapan Hafner–Sarnak–McCurley (2) ^[37]	${\frac {1}{\zeta (2)}}$	0.60792 71018 54026 62866 ^{[Mw 24]}^{[OEIS 25]}	${\frac {6}{\pi ^{2}}}=\prod _{n=0}^{\infty }{\underset {p_{n}:{\text{ prime}}}{\!\left(\!1-{\frac {1}{{p_{n}}^{2}}}\!\right)}}\!=\!\textstyle \left(1\!-\!{\frac {1}{2^{2}}}\right)\!\left(1\!-\!{\frac {1}{3^{2}}}\right)\!\left(1\!-\!{\frac {1}{5^{2}}}\right)\cdots$	1883^{[Mw 24]}	$\mathbb {T}$
Tetapan Cahen ^[38]	$\xi _{2}$	0.64341 05462 88338 02618 ^{[Mw 25]}^{[OEIS 26]}	$\sum _{k=1}^{\infty }{\frac {(-1)^{k}}{s_{k}-1}}={\frac {1}{1}}-{\frac {1}{2}}+{\frac {1}{6}}-{\frac {1}{42}}+{\frac {1}{1806}}{\,\pm \cdots }$ Dimana $s_{k}$ adalah suku ke- $k$ dari barisan Sylvester 2, 3, 7, 43, 1807, ...Didefinsikan sebagai: $\,\,S_{0}=\,2,\,\,S_{k}=\,1+\prod \limits _{n=0}^{k-1}S_{n}{\text{ untuk}}\;k>0$	1891	$\mathbb {T}$
Tetapan parabolik semesta ^[39]	${P}_{\,2}$	2.29558 71493 92638 07403 ^{[Mw 26]}^{[OEIS 27]}	$\ln(1+{\sqrt {2}})+{\sqrt {2}}\;=\;\operatorname {arcsinh} (1)+{\sqrt {2}}$	Sebelum 1891^[40]	$\mathbb {T}$
Tetapan Apéry ^[41]	$\zeta (3)$	1.20205 69031 59594 28539 ^{[Mw 27]}^{[OEIS 28]}	${\begin{aligned}\sum _{n=1}^{\infty }{\frac {1}{n^{3}}}&={\frac {1}{1^{3}}}+{\frac {1}{2^{3}}}+{\frac {1}{3^{3}}}+{\frac {1}{4^{3}}}+{\frac {1}{5^{3}}}+\cdots \\&={\frac {1}{2}}\sum _{i=1}^{\infty }\sum _{j=1}^{\infty }{\frac {1}{ij(i{+}j)}}\\&=\!\!\int \limits _{0}^{1}\!\!\int \limits _{0}^{1}\!\!\int \limits _{0}^{1}{\frac {\mathrm {d} x\,\mathrm {d} y\,\mathrm {d} z}{1-xyz}}\end{aligned}}$	1895^[42]	$\mathbb {R} \setminus \mathbb {Q}$ $\mathbb {T}$ ?
Tetapan Gelfond ^[43]	${e}^{\pi }$	23.14069 26327 79269 0057 ^{[Mw 28]}^{[OEIS 29]}	$(-1)^{-i}=i^{-2i}=\sum _{n=0}^{\infty }{\frac {\pi ^{n}}{n!}}=1+{\frac {\pi ^{1}}{1}}+{\frac {\pi ^{2}}{2}}+{\frac {\pi ^{3}}{6}}+\cdots$	1900^[44]	$\mathbb {T}$

1900–1949

Nama	Simbol	Ekspansi desimal	Rumus	Tahun	Himpunan
Tetapan Favard ^[45]	${\frac {3}{4}}\zeta (2)$	1.23370 05501 36169 82735 ^{[Mw 29]}^{[OEIS 30]}	${\frac {\pi ^{2}}{8}}=\sum _{n=0}^{\infty }{\frac {1}{(2n-1)^{2}}}={\frac {1}{1^{2}}}+{\frac {1}{3^{2}}}+{\frac {1}{5^{2}}}+{\frac {1}{7^{2}}}+\cdots$	1902 hingga 1965	$\mathbb {T}$
Sudut emas ^[46]	${b}$	2.39996 32297 28653 32223 ^{[Mw 30]}^{[OEIS 31]}	$(4-2\,\Phi )\,\pi =(3-{\sqrt {5}})\,\pi =137.5077640500378546\dots ^{\circ }$	1907	$\mathbb {T}$
Tetapan Sierpiński ^[47]	${K}$	2.58498 17595 79253 21706 ^{[Mw 31]}^{[OEIS 32]}	${\begin{aligned}\pi \left(2\gamma +\ln {\frac {4\pi ^{3}}{\Gamma ({\tfrac {1}{4}})^{4}}}\right)&=\pi (2\gamma +4\ln \Gamma ({\tfrac {3}{4}})-\ln \pi )\\&=\pi \left(2\ln 2+3\ln \pi +2\gamma -4\ln \Gamma ({\tfrac {1}{4}})\right)\end{aligned}}$	1907
Tetapan Nielsen–Ramanujan ^[48]	${\frac {{\zeta }(2)}{2}}$	0.82246 70334 24113 21823 ^{[Mw 32]}^{[OEIS 33]}	${\frac {\pi ^{2}}{12}}=\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n^{2}}}={\frac {1}{1^{2}}}{-}{\frac {1}{2^{2}}}{+}{\frac {1}{3^{2}}}{-}{\frac {1}{4^{2}}}{+}{\frac {1}{5^{2}}}{-}\cdots$	1909	$\mathbb {T}$
Luas dari fraktal Mandelbrot ^[49]	$\gamma$	1.5065918849 ± 0.0000000028 ^{[Mw 33]}^{[OEIS 34]}		1912
Tetapan Gieseking (de) ^[50]	${\pi \ln \beta }$	1.01494 16064 09653 62502 ^{[Mw 34]}^{[OEIS 35]}	${\begin{aligned}{\frac {3{\sqrt {3}}}{4}}\left(1-\sum _{n=0}^{\infty }{\frac {1}{(3n+2)^{2}}}+\sum _{n=1}^{\infty }{\frac {1}{(3n+1)^{2}}}\right)&={\frac {3{\sqrt {3}}}{4}}\left(1-{\frac {1}{2^{2}}}+{\frac {1}{4^{2}}}-{\frac {1}{5^{2}}}+{\frac {1}{7^{2}}}-{\frac {1}{8^{2}}}+{\frac {1}{10^{2}}}\pm \cdots \right)\end{aligned}}$	1912
Tetapan Bernstein ^[51]	${\beta }$	0.28016 94990 23869 13303 ^{[Mw 35]}^{[OEIS 36]}	$\approx {\frac {1}{2{\sqrt {\pi }}}}$	1913
Tetapan bilangan prima kembar ^[52]	${C}_{2}$	0.66016 18158 46869 57392 ^{[Mw 36]}^{[OEIS 37]}	$\prod _{p=3}^{\infty }{\frac {p(p-2)}{(p-1)^{2}}}$	1922
Bilangan plastik ^[53]	${\rho }$	1.32471 79572 44746 02596 ^{[Mw 37]}^{[OEIS 38]}	${\sqrt[{3}]{1+\!{\sqrt[{3}]{1+\!{\sqrt[{3}]{1+\cdots }}}}}}=\textstyle {\sqrt[{3}]{{\frac {1}{2}}+{\frac {\sqrt {69}}{18}}}}+{\sqrt[{3}]{{\frac {1}{2}}-{\frac {\sqrt {69}}{18}}}}$	1929	$\mathbb {A}$
Tetapan Bloch–Landau ^[54]	${L}$	0.54325 89653 42976 70695 ^{[Mw 38]}^{[OEIS 39]}	$={\frac {\Gamma ({\tfrac {1}{3}})\;\Gamma ({\tfrac {5}{6}})}{\Gamma ({\tfrac {1}{6}})}}={\frac {(-{\tfrac {2}{3}})!\;(-1+{\tfrac {5}{6}})!}{(-1+{\tfrac {1}{6}})!}}$	1929
Tetapan Golomb–Dickman ^[55]	${\lambda }$	0.62432 99885 43550 87099 ^{[Mw 39]}^{[OEIS 40]}	$\int \limits _{0}^{\infty }{\underset {{\text{Para }}x>2}{{\frac {f(x)}{x^{2}}}\,\mathrm {d} x}}=\int \limits _{0}^{1}e^{\operatorname {Li} (n)}\mathrm {d} n$ dimana $\operatorname {Li}$ adalah integral logaritmik.	1930 dan 1964
Tetapan Feller–Tornier ^[56]	${{\mathcal {C}}_{_{FT}}}$	0.66131 70494 69622 33528 ^{[Mw 40]}^{[OEIS 41]}	${\underset {p_{n}:\,{prime}}{{\frac {1}{2}}\prod _{n=1}^{\infty }\left(1-{\frac {2}{p_{n}^{2}}}\right){+}{\frac {1}{2}}}}={\frac {3}{\pi ^{2}}}\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}^{2}-1}}\right){+}{\frac {1}{2}}$	1932	$\mathbb {T}$ ?
Tetapan Champernowne basis 10^[57]	$C_{10}$	0.12345 67891 01112 13141 ^{[Mw 41]}^{[OEIS 42]}	$\sum _{n=1}^{\infty }\;\sum _{k=10^{n-1}}^{10^{n}-1}{\frac {k}{10^{kn-9\sum _{j=0}^{n-1}10^{j}(n-j-1)}}}$	1933	$\mathbb {T}$
Tetapan Gelfond–Schneider ^[58]	$G_{\,GS}$	2.66514 41426 90225 18865 ^{[Mw 42]}^{[OEIS 43]}	$2^{\sqrt {2}}$	1934	$\mathbb {T}$
Tetapan Khinchin ^[59]	$K_{\,0}$	2.68545 20010 65306 44530 ^{[Mw 43]}^{[OEIS 44]}	$\prod _{n=1}^{\infty }\left[{1+{1 \over n(n+2)}}\right]^{\frac {\ln n}{\ln 2}}$	1934	$\mathbb {T}$ ?
Tetapan Khinchin–Lévy^[60]	${\beta }$	1.18656 91104 15625 45282 ^{[Mw 44]}^{[OEIS 45]}	${\frac {\pi ^{2}}{12\,\ln 2}}$	1935
Tetapan Khinchin–Lévy ^[61]	$e^{\beta }$	3.27582 29187 21811 15978 ^{[Mw 45]}^{[OEIS 46]}	$e^{\frac {\pi ^{2}}{12\ln 2}}$	1936
Tetapan Mills ^[62]	${\theta }$	1.30637 78838 63080 69046 ^{[Mw 46]}^{[OEIS 47]}	$\lfloor \theta ^{3^{n}}\rfloor$ adalah prima.	1947
Tetapan Euler–Gompertz ^[63]	${G}$	0.59634 73623 23194 07434 ^{[Mw 47]}^{[OEIS 48]}	${\begin{aligned}\int \limits _{0}^{\infty }\!\!{\frac {e^{-n}}{1{+}n}}\,\mathrm {d} n&=\!\!\int \limits _{0}^{1}\!\!{\frac {1}{1{-}\ln n}}\,\mathrm {d} n\\&={\frac {1}{1+{\frac {1}{1+{\frac {1}{1+{\frac {2}{1+{\frac {2}{1+{\frac {3}{1+{\frac {3}{\ddots }}}}}}}}}}}}}}\end{aligned}}$	Sebelum tahun 1948^{[OEIS 48]}

1950–1999

Nama	Simbol	Ekspansi desimal	Rumus	Tahun	Himpunan
Tetapan Van der Pauw	${\alpha }$	4.53236 01418 27193 80962^{[OEIS 49]}	${\frac {\pi }{\ln(2)}}={\frac {\sum \limits _{n=0}^{\infty }{\frac {4(-1)^{n}}{2n+1}}}{\sum \limits _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n}}}}={\frac {{\frac {4}{1}}-{\frac {4}{3}}+{\frac {4}{5}}-{\frac {4}{7}}+{\frac {4}{9}}-\cdots }{{\frac {1}{1}}-{\frac {1}{2}}+{\frac {1}{3}}-{\frac {1}{4}}+{\frac {1}{5}}-\cdots }}$	Sebelum tahun 1958^{[OEIS 50]}
Sudut ajaib ^[64]	${\theta _{m}}$	0.95531 66181 245092 78163^{[OEIS 51]}	$\arctan \left({\sqrt {2}}\right)=\arccos \left({\sqrt {\tfrac {1}{3}}}\right)\approx \textstyle {54.7356}^{\circ }$	Sebelum tahun 1959^[64]^[65]	$\mathbb {T}$
Tetapan Lochs ^[66]	${{\text{£}}_{\text{Lo}}}$	0.97027 01143 92033 92574 ^{[Mw 48]}^{[OEIS 52]}	${\frac {6\ln 2\ln 10}{\pi ^{2}}}$	1964
Tetapan es persegi Lieb ^[67]	${W}_{2D}$	1.53960 07178 39002 03869 ^{[Mw 49]}^{[OEIS 53]}	$\lim _{n\to \infty }(f(n))^{n^{-2}}=\left({\frac {4}{3}}\right)^{\frac {3}{2}}={\frac {8}{3{\sqrt {3}}}}$	1967	$\mathbb {A}$
Tetapan Niven ^[68]	${C}$	1.70521 11401 05367 76428 ^{[Mw 50]}^{[OEIS 54]}	$1+\sum _{n=2}^{\infty }\left(1-{\frac {1}{\zeta (n)}}\right)$	1969
Tetapan Baker ^[69]	$\beta _{3}$	0.83564 88482 64721 05333^{[OEIS 55]}	$\int _{0}^{1}{\frac {\mathrm {d} t}{1+t^{3}}}=\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{3n+1}}={\frac {1}{3}}\left(\ln 2+{\frac {\pi }{\sqrt {3}}}\right)$	Sebelum tahun 1969^[69]
Tetapan Porter^[70]	${C}$	1.46707 80794 33975 47289 ^{[Mw 51]}^{[OEIS 56]}	${\frac {6\ln 2}{\pi ^{2}}}\left(3\ln 2+4\,\gamma -{\frac {24}{\pi ^{2}}}\,\zeta '(2)-2\right)-{\frac {1}{2}}$ dimana $\scriptstyle \gamma$ adalah tetapan Euler–Mascheroni dengan nilai 0.5772156649... dan $\scriptstyle \zeta '(2)$ adalah turunan dari $\scriptstyle \zeta (2)$ dengan nilai –0.9375482543...	1974
Tetapan Feigenbaum (δ) ^[71]	${\delta }$	4.66920 16091 02990 67185 ^{[Mw 52]}^{[OEIS 57]}	$\lim _{n\to \infty }{\frac {x_{n+1}-x_{n}}{x_{n+2}-x_{n+1}}},\quad x\in (3.8284;\,3.8495)$ dimana $\scriptstyle x_{n+1}=\,ax_{n}(1-x_{n})\quad {\text{atau}}\quad x_{n+1}=\,a\sin(x_{n})$ .	1975
Tetapan Chaitin ^[72]	$\Omega$	Secara umum mereka merupakan bilangan yang tak dapat dihitung. Tapi salah satu bilangannya 0.00787 49969 97812 3844 ^{[Mw 53]}^{[OEIS 58]}	$\sum _{p\in P}2^{-\|p\|}$ $p$ adalah program terhenti; $\left\|p\right\|$ adalah ukuran dalam bit program Size in bits of program $p$ ; dan $P$ adalah ranah semua program yang berhenti. Lihat pula: Masalah penghentian	1975	$\mathbb {T}$
Tetapan Fransén–Robinson ^[73]	${F}$	2.80777 02420 28519 36522 ^{[Mw 54]}^{[OEIS 59]}	$\int _{0}^{\infty }{\frac {1}{\Gamma (x)}}\,\mathrm {d} x=e+\int _{0}^{\infty }{\frac {e^{-x}}{\pi ^{2}+\ln ^{2}x}}\,\mathrm {d} x$	1978
Tetapan Robbins ^[74]	$\Delta (3)$	0.66170 71822 67176 23515 ^{[Mw 55]}^{[OEIS 60]}	${\frac {4\!+\!17{\sqrt {2}}\!-6{\sqrt {3}}\!-7\pi }{105}}\!+\!{\frac {\ln(1\!+\!{\sqrt {2}})}{5}}\!+\!{\frac {2\ln(2\!+\!{\sqrt {3}})}{5}}$	1978
Tetapan Feigenbaum (α) ^[75]	$\alpha$	2.50290 78750 95892 82228 ^{[Mw 52]}^{[OEIS 61]}	$\lim _{n\to \infty }{\frac {d_{n}}{d_{n+1}}}$	1979	$\mathbb {T}$ ?
Dimensi fraktal dari himpunan Cantor ^[76]	$d_{f}(k)$	0.63092 97535 71457 43709 ^{[Mw 56]}^{[OEIS 62]}	$\lim _{\varepsilon \to 0}{\frac {\log N(\varepsilon )}{\log \left({\frac {1}{\varepsilon }}\right)}}={\frac {\log 2}{\log 3}}$	Sebelum tahun 1979^{[OEIS 62]}	$\mathbb {T}$
Tetapan perangkai ^[77]^[78]	${\mu }$	1.84775 90650 22573 51225 ^{[Mw 57]}^{[OEIS 63]}	${\sqrt {2+{\sqrt {2}}}}\;=\lim _{n\rightarrow \infty }c_{n}^{1/n}$ sebagai sebuah akar dari polinomial $x^{4}-4x^{2}+2=0$ .	1982^[79]	$\mathbb {A}$
Tetapan konjektur Lehmer ^[80]	${\sigma _{_{10}}}$	1.17628 08182 59917 50654 ^{[Mw 58]}^{[OEIS 64]}	$x^{10}+x^{9}-x^{7}-x^{6}-x^{5}-x^{4}-x^{3}+x+1$	1983?	$\mathbb {A}$
Tetapan Chebyshev ^[81] · ^[82]	$\lambda _{\text{Ch}}$	0.59017 02995 08048 11302 ^{[Mw 59]}^{[OEIS 65]}	${\frac {\Gamma \left({\frac {1}{4}}\right)^{2}}{4\pi ^{\frac {3}{2}}}}={\frac {4\left({\frac {1}{4}}!\right)^{2}}{\pi ^{\frac {3}{2}}}}$	Sebelum tahun 1987^{[Mw 59]}
Tetapan Conway ^[83]	${\lambda }$	1.30357 72690 34296 39125 ^{[Mw 60]}^{[OEIS 66]}	${\begin{smallmatrix}x^{71}\quad \ -x^{69}-2x^{68}-x^{67}+2x^{66}+2x^{65}+x^{64}-x^{63}-x^{62}-x^{61}-x^{60}\\-x^{59}+2x^{58}+5x^{57}+3x^{56}-2x^{55}-10x^{54}-3x^{53}-2x^{52}+6x^{51}+6x^{50}\\+x^{49}+9x^{48}-3x^{47}-7x^{46}-8x^{45}-8x^{44}+10x^{43}+6x^{42}+8x^{41}-5x^{40}\\-12x^{39}+7x^{38}-7x^{37}+7x^{36}+x^{35}-3x^{34}+10x^{33}+x^{32}-6x^{31}-2x^{30}\\-10x^{29}-3x^{28}+2x^{27}+9x^{26}-3x^{25}+14x^{24}-8x^{23}\quad \ -7x^{21}+9x^{20}\\+3x^{19}\!-4x^{18}\!-10x^{17}\!-7x^{16}\!+12x^{15}\!+7x^{14}\!+2x^{13}\!-12x^{12}\!-4x^{11}\!-2x^{10}\\+5x^{9}+x^{7}\quad \ -7x^{6}+7x^{5}-4x^{4}+12x^{3}-6x^{2}+3x-6\ =\ 0\quad \quad \quad \end{smallmatrix}}$	1987	$\mathbb {A}$
Tetapan Prévost, tetapan Fibonacci timbal-balik ^[84]	$\Psi$	3.35988 56662 43177 55317 ^{[Mw 61]}^{[OEIS 67]}	$\sum _{n=1}^{\infty }{\frac {1}{F_{n}}}={\frac {1}{1}}+{\frac {1}{1}}+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{5}}+{\frac {1}{8}}+{\frac {1}{13}}+\cdots$ dimana $F_{n}$ adalah deret Fibonacci.	Sebelum tahun 1988^{[OEIS 67]}	$\mathbb {R} \setminus \mathbb {Q}$
Tetapan Brun₂ = Σ balikan bilangan prima kembar ^[85]	${B}_{\,2}$	1.90216 05831 04 ^{[Mw 62]}^{[OEIS 68]}	${\underset {p,\,p+2:{\text{ prima}}}{\sum \left({\frac {1}{p}}+{\frac {1}{p+2}}\right)}}=\left({\frac {1}{3}}\!+\!{\frac {1}{5}}\right)+\left({\frac {1}{5}}\!+\!{\frac {1}{7}}\right)+\left({\frac {1}{11}}\!+\!{\frac {1}{13}}\right)+\cdots$	1989^{[OEIS 68]}
Tetapan Hafner–Sarnak–McCurley (1) ^[86]	${\sigma }$	0.35323 63718 54995 98454 ^{[Mw 63]}^{[OEIS 69]}	$\prod _{k=1}^{\infty }\left\{1-[1-\prod _{j=1}^{n}{\underset {p_{k}:{\text{ prima}}}{(1-p_{k}^{-j})]^{2}}}\right\}$	1993
Dimensi fraktal dari pengepakan Apollo mengenai lingkaran ^[87]^[88]	$\varepsilon$	1.30568 6729 oleh Thomas & Dhar 1.30568 8 oleh McMullen ^{[Mw 64]}^{[OEIS 70]}		1994 1998
Tetapan Backhouse ^[89]	${B}$	1.45607 49485 82689 67139 ^{[Mw 65]}^{[OEIS 71]}	$\lim _{k\to \infty }\left\|{\frac {q_{k+1}}{q_{k}}}\right\vert$ dimana $Q(x)={\frac {1}{P(x)}}=\!\sum _{k=1}^{\infty }q_{k}x^{k}$ dan $P(x)=\sum _{k=1}^{\infty }{\underset {p_{k}{\text{ prima}}}{p_{k}x^{k}}}=1+2x+3x^{2}+5x^{3}+\cdots$	1995
Tetapan Viswanath ^[90]	${C}_{\text{Vi}}$	1.13198 82487 943 ^{[Mw 66]}^{[OEIS 72]}	$\lim _{n\to \infty }\|a_{n}\|^{\frac {1}{n}}$ dimana $a_{n}$ adalah barisan Fibonacci	1997	$\mathbb {T}$ ?
Tetapan waktu ^[91]	${\tau }$	0.63212 05588 28557 67840 ^{[Mw 67]}^{[OEIS 73]}	${\begin{aligned}\lim _{n\to \infty }1-{\frac {!n}{n!}}&=\lim _{n\to \infty }P(n)\\&=\int _{0}^{1}e^{-x}dx\\&=1{-}{\frac {1}{e}}\\&=\sum \limits _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n!}}={\frac {1}{1!}}{-}{\frac {1}{2!}}{+}{\frac {1}{3!}}{-}{\frac {1}{4!}}{+}{\frac {1}{5!}}{-}{\frac {1}{6!}}{+}\cdots \end{aligned}}$	Sebelum tahun 1997^[91]	$\mathbb {T}$
Tetapan Komornik–Loreti ^[92]	${q}$	1.78723 16501 82965 93301 ^{[Mw 68]}^{[OEIS 74]}	$1=\!\sum _{n=1}^{\infty }{\frac {t_{k}}{q^{k}}}$ akar real dari $\prod _{n=0}^{\infty }\!\left(\!1{-}{\frac {1}{q^{2^{n}}}}\!\right)\!{+}{\frac {q{-}2}{q{-}1}}=0$ , dimana $t_{k}$ adalah barisan Thue–Morse.	1998	$\mathbb {T}$
Barisan lipatan kertas beraturan ^[93]^[94]	${P_{f}}$	0.85073 61882 01867 26036 ^{[Mw 69]}^{[OEIS 75]}	$\sum _{n=0}^{\infty }{\frac {8^{2^{n}}}{2^{2^{n+2}}-1}}=\sum _{n=0}^{\infty }{\cfrac {\tfrac {1}{2^{2^{n}}}}{1-{\tfrac {1}{2^{2^{n+2}}}}}}$	Sebelum tahun 1998^[94]
Tetapan Artin ^[95]	${C}_{\text{Artin}}$	0.37395 58136 19202 28805 ^{[Mw 70]}^{[OEIS 76]}	$\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}(p_{n}-1)}}\right)$ dimana $p_{n}$ adalah prima.	1999
Tetapan MRB ^[96]^[97]^[98]	$C_{\text{MRB}}$	0.18785 96424 62067 12024 ^{[Mw 71]}^{[Ow 1]}^{[OEIS 77]}	$\sum _{n=1}^{\infty }(-1)^{n}(n^{1/n}-1)=-{\sqrt[{1}]{1}}+{\sqrt[{2}]{2}}-{\sqrt[{3}]{3}}+\cdots$	1999
Tetapan perulangan kuadrat Somos ^[99]	${\sigma }$	1.66168 79496 33594 12129 ^{[Mw 72]}^{[OEIS 78]}	$\prod _{n=1}^{\infty }n^{{1/2}^{n}}={\sqrt {1{\sqrt {2{\sqrt {3\cdots }}}}}}=1^{1/2}\;2^{1/4}\;3^{1/8}\cdots$	1999^{[Mw 72]}	$\mathbb {T}$ ?

2000 hingga seterusnya

Nama	Simbol	Ekspansi desimal	Rumus	Tahun	Himpunan
Tetapan Foias (α) ^[100]	$F_{\alpha }$	1.18745 23511 26501 05459 ^{[Mw 73]}^{[OEIS 79]}	$x_{n+1}=\left(1+{\frac {1}{x_{n}}}\right)^{n}{\text{ untuk }}n=1,2,3,\ldots$ Tetapan Foias merupakan bilangan real tunggal sehingga jika $x_{1}=\alpha$ maka barisan divergen menuju $\infty$ . Ketika $x_{1}=\alpha$ , $\,\lim _{n\to \infty }x_{n}{\frac {\ln n}{n}}=1$ .	2000
Tetapan Foias (β)	$F_{\beta }$	2.29316 62874 11861 03150 ^{[Mw 73]}^{[OEIS 80]}	$x^{x+1}=(x+1)^{x}$	2000
Rumus Raabe ^[101]	${\zeta '(0)}$	0.91893 85332 04672 74178 ^{[Mw 74]}^{[OEIS 81]}	$\int \limits _{a}^{a+1}\log \Gamma (t)\,\mathrm {d} t={\tfrac {1}{2}}\log 2\pi +a\log a-a,\quad a\geq 0$	Sebelum tahun 2011^[101]
Tetapan Kepler–Bouwkamp ^[102]	${\rho }$	0.11494 20448 53296 20070 ^{[Mw 75]}^{[OEIS 82]}	$\prod _{n=3}^{\infty }\cos \left({\frac {\pi }{n}}\right)=\cos \left({\frac {\pi }{3}}\right)\cos \left({\frac {\pi }{4}}\right)\cos \left({\frac {\pi }{5}}\right)...$	Sebelum tahun 2013^[102]
Tetapan Prouhet–Thue–Morse ^[103]	$\tau$	0.41245 40336 40107 59778 ^{[Mw 76]}^{[OEIS 83]}	$\sum _{n=0}^{\infty }{\frac {t_{n}}{2^{n+1}}}$ dimana ${t_{n}}$ merupakan barisan Thue–Morse dan $\tau (x)=\sum _{n=0}^{\infty }(-1)^{t_{n}}\,x^{n}=\prod _{n=0}^{\infty }(1-x^{2^{n}})$	Sebelum tahun 2014^[103]	$\mathbb {T}$
Tetapan Heath–Brown–Moroz ^[104]	${C}_{\text{HBM}}$	0.00131 76411 54853 17810 ^{[Mw 77]}^{[OEIS 84]}	${\underset {p_{n}:\,{\text{prima}}}{\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}}}\right)^{7}\left(1+{\frac {7p_{n}+1}{p_{n}^{2}}}\right)}}$	Sebelum tahun 2002^[104]	$\mathbb {T}$ ?
Tetapan Lebesgue ^[105]	${C_{1}}$	0.98943 12738 31146 95174 ^{[Mw 78]}^{[OEIS 85]}	$\lim _{n\to \infty }\!\!\left(\!{L_{n}{-}{\frac {4}{\pi ^{2}}}\ln(2n{+}1)}\!\!\right)\!{=}{\frac {4}{\pi ^{2}}}\!\left({\sum _{k=1}^{\infty }\!{\frac {2\ln k}{4k^{2}{-}1}}}{-}{\frac {\Gamma '({\tfrac {1}{2}})}{\Gamma ({\tfrac {1}{2}})}}\!\!\right)$	Sebelum tahun 2002^[105]
Tetapan Bois–Romand kedua (es) ^[106]	${C_{2}}$	0.19452 80494 65325 11361 ^{[Mw 79]}^{[OEIS 86]}	${\frac {e^{2}-7}{2}}=\int _{0}^{\infty }\left\|{{\frac {\mathrm {d} }{\mathrm {d} t}}\left({\frac {\sin t}{t}}\right)^{n}}\right\|\,\mathrm {d} t-1$	Sebelum tahun 2003^[106]	$\mathbb {T}$
Tetapan Stephens ^[107]	$C_{S}$	0.57595 99688 92945 43964 ^{[Mw 80]}^{[OEIS 87]}	$\prod _{n=1}^{\infty }\left(1-{\frac {p}{p^{3}-1}}\right)$	Sebelum tahun 2005^[107]	$\mathbb {T}$ ?
Tetapan Taniguchi ^[107]	$C_{T}$	0.67823 44919 17391 97803 ^{[Mw 81]}^{[OEIS 88]}	$\prod _{n=1}^{\infty }\left(1-{\frac {3}{{p_{n}}^{3}}}+{\frac {2}{{p_{n}}^{4}}}+{\frac {1}{{p_{n}}^{5}}}-{\frac {1}{{p_{n}}^{6}}}\right)$ dimana $p_{n}$ adalah prima.	Sebelum tahun2005^[107]	$\mathbb {T}$ ?
Tetapan Copeland–Erdős ^[108]	${{\mathcal {C}}_{CE}}$	0.23571 11317 19232 93137 ^{[Mw 82]}^{[OEIS 89]}	$\sum _{n=1}^{\infty }{\frac {p_{n}}{10^{n+\sum \limits _{k=1}^{n}\lfloor \log _{10}{p_{k}}\rfloor }}}$	Sebelum tahun 2012^[108]	$\mathbb {R} \setminus \mathbb {Q}$
Dimensi Hausdorff, segitiga Sierpinski ^[109]	${\log _{2}3}$	1.58496 25007 21156 18145 ^{[Mw 83]}^{[OEIS 90]}	${\frac {\log 3}{\log 2}}={\frac {{\underset {n=0}{\overset {\infty }{\sum }}}^{\infty }{\frac {1}{2^{2n+1}(2n+1)}}}{\sum _{n=0}^{\infty }{\frac {1}{3^{2n+1}(2n+1)}}}}={\frac {{\frac {1}{2}}+{\frac {1}{24}}+{\frac {1}{160}}+\cdots }{{\frac {1}{3}}+{\frac {1}{81}}+{\frac {1}{1215}}+\cdots }}$	Sebelum tahun 2002^[109]	$\mathbb {T}$
Tetapan Landau–Ramanujan ^[110]	$K$	0.76422 36535 89220 66299 ^{[Mw 84]}^{[OEIS 91]}	${\frac {1}{\sqrt {2}}}\prod _{p\equiv 3\!\!\!\!\!\mod \!4}\!\!{\underset {\!\!\!\!\!\!\!\!p:{\text{ prima}}}{\left(1-{\frac {1}{p^{2}}}\right)^{-{\frac {1}{2}}}}}\!\!={\frac {\pi }{4}}\prod _{p\equiv 1\!\!\!\!\!\mod \!4}\!\!{\underset {\!\!\!\!p:{\text{ prima}}}{\left(1-{\frac {1}{p^{2}}}\right)^{\frac {1}{2}}}}$	Sebelum tahun 2005^[110]	$\mathbb {T}$ ?
Tetapan Brun₄ = Σ balikkan bilangan prima kembar empat ^[111]	${B}_{\,4}$	0.87058 83799 75 ^{[Mw 62]}^{[OEIS 92]}	$\sum \left({\frac {1}{p}}+{\frac {1}{p+2}}+{\frac {1}{p+6}}+{\frac {1}{p+8}}\right)\scriptstyle \quad {p,\;p+2,\;p+6,\;p+8:{\text{ prima}}}$ $\left({\frac {1}{5}}+{\frac {1}{7}}+{\frac {1}{11}}+{\frac {1}{13}}\right)+\left({\frac {1}{11}}+{\frac {1}{13}}+{\frac {1}{17}}+{\frac {1}{19}}\right)+\dots$	Sebelum tahun 2002^[111]
Radikal tersarang Ramanujan ^[112]	$R_{5}$	2.74723 82749 32304 33305	${\sqrt {5+{\sqrt {5+{\sqrt {5-{\sqrt {5+{\sqrt {5+{\sqrt {5+{\sqrt {5-\cdots }}}}}}}}}}}}}}\;={\frac {2+{\sqrt {5}}+{\sqrt {15-6{\sqrt {5}}}}}{2}}$	Sebelum tahun 2001^[112]	$\mathbb {A}$

Tetapan lainnya

Nama	Simbol	Ekspansi desimal	Rumus	Tahun	Himpunan
Tetapan tesseract deVicci	${f_{(3,4)}}$	1.00743 47568 84279 37609^{[Mw 85]}^{[OEIS 93]}	Kubik terbesar yang dapat lewat melalui dalam sebuah hiperkubik empat dimensi. Akar positif dari $4x^{4}{-}28x^{3}{-}7x^{2}{+}16x{+}16=0$ .		$\mathbb {A}$
Tetapan Glaisher–Kinkelin	${A}$	1.28242 71291 00622 63687^{[Mw 86]}^{[OEIS 94]}	$e^{{\frac {1}{12}}-\zeta ^{\prime }(-1)}=e^{{\frac {1}{8}}-{\frac {1}{2}}\sum \limits _{n=0}^{\infty }{\frac {1}{n+1}}\sum \limits _{k=0}^{n}\left(-1\right)^{k}{\binom {n}{k}}\left(k+1\right)^{2}\ln(k+1)}$

Lihat pula

Catatan

^ 1 dapat diberikan sebagai sebuah gagasan primitf dalam Aritmetika Peano. Secara bergantian, 0 dapat menjadi sebuah gagasn primitif dalam aritmetika Peano dan and 1 didefinisikan sebagai penerus untuk 0. Artikel ini menggunakan definisi sebelumnya yang berhubungan dengan pendidikan dan kesederhaan berturut-turut.
^ Keduanya $i$ dan $-i$ merupakan akar-akar persamaan ini, melalui baik bukan akarnya benar-benar "positif" maupun lebih fundamental daripada lainnya karena mereka setara secara aljabar. Perbedaan antara tanda $i$ dan $-i$ ada dalam beberapa hal yang sembarang, tetapi sebuah alat notasi yang berguna. Lihat satuan khayal untuk informasi lebih lanjut.
^ Juga dapat didefinisikan oleh deret takhingga $\sum _{n=0}^{\infty }{\frac {1}{n!}}={\frac {1}{0!}}+{\frac {1}{1}}+{\frac {1}{2!}}+{\frac {1}{3!}}+\cdots$

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^ Paul Manneville (2010). Instabilities, Chaos and Turbulence. Imperial College Press. hlm. 176. ISBN 978-1-84816-392-8.
^ Mireille Bousquet-Mélou. Two-dimensional self-avoiding walks (PDF). CNRS, LaBRI, Bordeaux, France.
^ Hugo Duminil-Copin; Stanislav Smirnov (2011). The connective constant of the honeycomb lattice √ (2 + √ 2) (PDF). Université de Geneve.
^ B. Nienhuis (1982). "Exact critical point and critical exponents of O(n) models in two dimensions". Phys. Rev. Lett. 49 (15): 1062–1065. Bibcode:1982PhRvL..49.1062N. doi:10.1103/PhysRevLett.49.1062.
^ Pei-Chu Hu,Chung-Chun (2008). Distribution Theory of Algebraic Numbers. Hong Kong University. hlm. 246. ISBN 978-3-11-020536-7.
^ Steven Finch (2014). Electrical Capacitance (PDF). Harvard.edu. hlm. 1. Diarsipkan dari versi asli (PDF) tanggal 2016-04-19. Diakses tanggal 2015-10-12.
^ Thomas Ransford. Computation of Logarithmic Capacity (PDF). Université Laval, Quebec (QC), Canada. hlm. 557. ^{[pranala nonaktif permanen]}
^ Facts On File, Incorporated (1997). Mathematics Frontiers. hlm. 46. ISBN 978-0-8160-5427-5.
^ Gérard P. Michon (2005). Numerical Constants. Numericana.
^ Thomas Koshy (2007). Elementary Number Theory with Applications. Elsevier. hlm. 119. ISBN 978-0-12-372-487-8.
^ Steven R. Finch (2003). Mathematical Constants. hlm. 110. ISBN 978-3-540-67695-9.
^ Benoit Mandelbrot (2004). Fractals and Chaos: The Mandelbrot Set and Beyond. ISBN 978-1-4419-1897-0.
^ Curtis T. McMullen (1997). Hausdorff dimension and conformal dynamics III: Computation of dimension (PDF).
^ Eric W. Weisstein (2003). CRC Concise Encyclopedia of Mathematics, Second Edition. CRC Press. hlm. 151. ISBN 978-1-58488-347-0.
^ DIVAKAR VISWANATH (1999). RANDOM FIBONACCI SEQUENCES AND THE NUMBER 1.13198824... (PDF). MATHEMATICS OF COMPUTATION.
^ ^a ^b Kunihiko Kaneko; Ichiro Tsuda (1997). Complex Systems: Chaos and Beyond. hlm. 211. ISBN 978-3-540-67202-9.
^ Christoph Lanz. k-Automatic Reals (PDF). Technischen Universität Wien.
^ Francisco J. Aragón Artacho; David H. Baileyy; Jonathan M. Borweinz; Peter B. Borwein (2012). Tools for visualizing real numbers (PDF). hlm. 33. Diarsipkan dari versi asli (PDF) tanggal 2017-02-20. Diakses tanggal 2021-03-24.
^ ^a ^b Papierfalten (PDF). 1998.
^ Paulo Ribenboim (2000). My Numbers, My Friends: Popular Lectures on Number Theory. Springer. hlm. 66. ISBN 978-0-387-98911-2.
^ Richard E. Crandall (2012). Unified algorithms for polylogarithm, L-series, and zeta variants (PDF). perfscipress.com. Diarsipkan dari versi asli (PDF) tanggal 2013-04-30.
^ RICHARD J. MATHAR (2010). "NUMERICAL EVALUATION OF THE OSCILLATORY INTEGRAL OVER exp(I pi x)x^1/x BETWEEN 1 AND INFINITY". arΧiv:0912.3844 [math.CA].
^ M.R.Burns (1999). Root constant. Marvin Ray Burns.
^ Jesus Guillera; Jonathan Sondow (2008). "Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent". The Ramanujan Journal. 16 (3): 247–270. arXiv:math/0506319  . doi:10.1007/s11139-007-9102-0.
^ Andrei Vernescu (2007). Gazeta Matemetica Seria a revista de cultur Matemetica Anul XXV(CIV)Nr. 1, Constante de tip Euler generalízate (PDF). hlm. 14.
^ ^a ^b István Mezö (2011). "On the integral of the fourth Jacobi theta function". arΧiv:1106.1042 [math.NT].
^ ^a ^b Richard J. Mathar (2013). "Circumscribed Regular Polygons". arΧiv:1301.6293 [math.MG].
^ ^a ^b Steven Finch (2014). Errata and Addenda to Mathematical Constants (PDF). Harvard.edu. hlm. 53. Diarsipkan dari versi asli (PDF) tanggal 2016-03-16. Diakses tanggal 2013-12-17.
^ ^a ^b J. B. Friedlander; A. Perelli; C. Viola; D.R. Heath-Brown; H.Iwaniec; J. Kaczorowski (2002). Analytic Number Theory. Springer. hlm. 29. ISBN 978-3-540-36363-7.
^ ^a ^b Horst Alzer (2002). "Journal of Computational and Applied Mathematics, Volume 139, Issue 2" (PDF). Journal of Computational and Applied Mathematics. 139 (2): 215–230. doi:10.1016/S0377-0427(01)00426-5.
^ ^a ^b Steven R. Finch (2003). Mathematical Constants . Cambridge University Press. hlm. 238. ISBN 978-3-540-67695-9.
^ ^a ^b ^c ^d Steven Finch (2005). Class Number Theory (PDF). Harvard University. hlm. 8. Diarsipkan dari versi asli (PDF) tanggal 2016-04-19. Diakses tanggal 2014-04-15.
^ ^a ^b Yann Bugeaud (2012). Distribution Modulo One and Diophantine Approximation. Cambridge University Press. hlm. 87. ISBN 978-0-521-11169-0.
^ ^a ^b Eric W. Weisstein (2002). CRC Concise Encyclopedia of Mathematics (edisi ke-Second). CRC Press. hlm. 1356. ISBN 978-1-58488-347-0.
^ ^a ^b Richard E. Crandall; Carl B. Pomerance (2005). Prime Numbers: A Computational Perspective. Springer. hlm. 80. ISBN 978-0387-25282-7.
^ ^a ^b Pascal Sebah; Xavier Gourdon (2002). Introduction to twin primes and Brun's constant computation (PDF).
^ ^a ^b Bruce C. Berndt; Robert Alexander Rankin (2001). Ramanujan: essays and surveys. American Mathematical Society, London Mathematical Society. hlm. 219. ISBN 978-0-8218-2624-9.

Daftar pustaka

Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Diakses tanggal 2013-06-05. English translation by Catriona and David Lischka.
Jensen, Johan Ludwig William Valdemar (1895), "Note numéro 245. Deuxième réponse. Remarques relatives aux réponses du MM. Franel et Kluyver", L'Intermédiaire des Mathématiciens, II: 346–347

Pranala luar

Templat:MathematicalSymbolsNotationLanguage

[3] 1 dapat diberikan sebagai sebuah gagasan primitf dalam Aritmetika Peano. Secara bergantian, 0 dapat menjadi sebuah gagasn primitif dalam aritmetika Peano dan and 1 didefinisikan sebagai penerus untuk 0. Artikel ini menggunakan definisi sebelumnya yang berhubungan dengan pendidikan dan kesederhaan berturut-turut.

[25] Keduanya $i$ dan $-i$ merupakan akar-akar persamaan ini, melalui baik bukan akarnya benar-benar "positif" maupun lebih fundamental daripada lainnya karena mereka setara secara aljabar. Perbedaan antara tanda $i$ dan $-i$ ada dalam beberapa hal yang sembarang, tetapi sebuah alat notasi yang berguna. Lihat satuan khayal untuk informasi lebih lanjut.

[31] Juga dapat didefinisikan oleh deret takhingga $\sum _{n=0}^{\infty }{\frac {1}{n!}}={\frac {1}{0!}}+{\frac {1}{1}}+{\frac {1}{2!}}+{\frac {1}{3!}}+\cdots$

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[247] M.R.Burns (1999). Root constant. Marvin Ray Burns.

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[64] (Inggris) Weisstein, Eric W. "Soldner's Constant". MathWorld.

[66] (Inggris) Weisstein, Eric W. "Hermite Constants". MathWorld.

[68] (Inggris) Weisstein, Eric W. "Liouville's Constant". MathWorld.

[71] (Inggris) Weisstein, Eric W. "Ramanujan Constant". MathWorld.

[76] (Inggris) Weisstein, Eric W. "Catalan's Constant". MathWorld.

[:1-79] (Inggris) Weisstein, Eric W. "Dottie Number". MathWorld.

[82] (Inggris) Weisstein, Eric W. "Mertens Constant". MathWorld.

[85] (Inggris) Weisstein, Eric W. "Weierstrass Constant". MathWorld.

[:3-88] (Inggris) Weisstein, Eric W. "Relatively Prime". MathWorld.

[91] (Inggris) Weisstein, Eric W. "Cahen's Constant". MathWorld.

[94] (Inggris) Weisstein, Eric W. "Universal Parabolic Constant". MathWorld.

[98] (Inggris) Weisstein, Eric W. "Apéry's Constant". MathWorld.

[102] (Inggris) Weisstein, Eric W. "Gelfonds Constant". MathWorld.

[106] (Inggris) Weisstein, Eric W. "Favard Constants". MathWorld.

[109] (Inggris) Weisstein, Eric W. "Golden Angle". MathWorld.

[112] (Inggris) Weisstein, Eric W. "Sierpinski Constant". MathWorld.

[115] (Inggris) Weisstein, Eric W. "Nielsen-Ramanujan Constants". MathWorld.

[118] (Inggris) Weisstein, Eric W. "Mandelbrot Set". MathWorld.

[121] (Inggris) Weisstein, Eric W. "Gieseking's Constant". MathWorld.

[124] (Inggris) Weisstein, Eric W. "Bernstein's Constant". MathWorld.

[127] (Inggris) Weisstein, Eric W. "Twin Primes Constant". MathWorld.

[130] (Inggris) Weisstein, Eric W. "Plastic Constant". MathWorld.

[133] (Inggris) Weisstein, Eric W. "Landau Constant". MathWorld.

[136] (Inggris) Weisstein, Eric W. "Golomb-Dickman Constant". MathWorld.

[139] (Inggris) Weisstein, Eric W. "Feller-Tornier Constant". MathWorld.

[142] (Inggris) Weisstein, Eric W. "Champernowne Constant". MathWorld.

[145] (Inggris) Weisstein, Eric W. "Gelfond-Schneider Constant". MathWorld.

[148] (Inggris) Weisstein, Eric W. "Khinchin's Constant". MathWorld.

[151] (Inggris) Weisstein, Eric W. "Levy Constant". MathWorld.

[154] (Inggris) Weisstein, Eric W. "Levy Constant". MathWorld.

[157] (Inggris) Weisstein, Eric W. "Mills Constant". MathWorld.

[160] (Inggris) Weisstein, Eric W. "Gompertz Constant". MathWorld.

[168] (Inggris) Weisstein, Eric W. "Lochs' Constant". MathWorld.

[171] (Inggris) Weisstein, Eric W. "Liebs Square Ice Constant". MathWorld.

[174] (Inggris) Weisstein, Eric W. "Niven's Constant". MathWorld.

[179] (Inggris) Weisstein, Eric W. "Porter's Constant". MathWorld.

[Feigenbaum_Constant-182] (Inggris) Weisstein, Eric W. "Feigenbaum Constant". MathWorld.

[185] (Inggris) Weisstein, Eric W. "Chaitin's Constant". MathWorld.

[188] (Inggris) Weisstein, Eric W. "Fransen-Robinson Constant". MathWorld.

[191] (Inggris) Weisstein, Eric W. "Robbins Constant". MathWorld.

[196] (Inggris) Weisstein, Eric W. "Cantor Set". MathWorld.

[200] (Inggris) Weisstein, Eric W. "Self-Avoiding Walk Connective Constant". MathWorld.

[204] (Inggris) Weisstein, Eric W. "Salem Constants". MathWorld.

[:6-208] (Inggris) Weisstein, Eric W. "Chebyshev Constants". MathWorld.

[211] (Inggris) Weisstein, Eric W. "Conway's Constant". MathWorld.

[214] (Inggris) Weisstein, Eric W. "Reciprocal Fibonacci Constant". MathWorld.

[Brun's_Constant-217] (Inggris) Weisstein, Eric W. "Brun's Constant". MathWorld.

[220] (Inggris) Weisstein, Eric W. "Hafner-Sarnak-McCurley Constant". MathWorld.

[224] (Inggris) Weisstein, Eric W. "Apollonian Gasket". MathWorld.

[227] (Inggris) Weisstein, Eric W. "Backhouse's Constant". MathWorld.

[230] (Inggris) Weisstein, Eric W. "Random Fibonacci Sequence". MathWorld.

[233] (Inggris) Weisstein, Eric W. "e". MathWorld.

[236] (Inggris) Weisstein, Eric W. "Komornik-Loreti Constant". MathWorld.

[Paper_Folding_Constant-240] (Inggris) Weisstein, Eric W. "Paper Folding Constant". MathWorld.

[243] (Inggris) Weisstein, Eric W. "Artin's Constant". MathWorld.

[248] (Inggris) Weisstein, Eric W. "MRB Constant". MathWorld.

[:2-252] (Inggris) Weisstein, Eric W. "SomossQuadraticRecurrence Constant". MathWorld.

[Foias-255] (Inggris) Weisstein, Eric W. "Foias Constant". MathWorld.

[259] (Inggris) Weisstein, Eric W. "Log Gamma Function". MathWorld.

[262] (Inggris) Weisstein, Eric W. "Polygon Inscribing". MathWorld.

[265] (Inggris) Weisstein, Eric W. "Thue-Morse Constant". MathWorld.

[268] (Inggris) Weisstein, Eric W. "Heath-Brown-Moroz Constant". MathWorld.

[271] (Inggris) Weisstein, Eric W. "Daftar tetapan matematis". MathWorld.

[274] (Inggris) Weisstein, Eric W. "Du Bois Reymond Constants". MathWorld.

[277] (Inggris) Weisstein, Eric W. "Stephen's Constant". MathWorld.

[279] (Inggris) Weisstein, Eric W. "Euler Product". MathWorld.

[282] (Inggris) Weisstein, Eric W. "Copeland-Erdos Constant". MathWorld.

[285] (Inggris) Weisstein, Eric W. "Pascal's Triangle". MathWorld.

[288] (Inggris) Weisstein, Eric W. "Landau-Ramanujan Constant". MathWorld.

[293] (Inggris) Weisstein, Eric W. "Prince Rupert's Cube". MathWorld.

[295] (Inggris) Weisstein, Eric W. "Glaisher-Kinkelin Constant". MathWorld.

[5] A000796

[9] A002193

[13] A002194

[15] A002163

[18] A001622

[21] A002580

[23] A002581

[27] A007493

[30] A001113

[35] A002162

[39] A083648

[42] A073009

[45] A062539

[48] A001620

[51] A065442

[55] A033259

[58] A014549

[63] A070769

[69] A012245

[72] A060295

[77] A006752

[80] A003957

[83] A077761

[86] A094692

[89] A059956

[92] A080130

[95] A103710

[99] A002117

[103] A039661

[107] A111003

[110] A131988

[113] A062089

[116] A072691

[119] A098403

[122] A143298

[125] A073001

[128] A005597

[131] A060006

[134] A081760

[137] A084945

[140] A065493

[143] A033307

[146] A007507

[149] A002210

[152] A100199

[155] A086702

[158] A051021

[:1-161] A073003

[162] A163973

[163] A163973

[165] A195696

[169] A086819

[172] A118273

[175] A033150

[177] A113476

[180] A086237

[183] A006890

[186] A100264

[189] A058655

[192] A073012

[194] A006891

[:3-197] A102525

[201] A179260

[205] A073011

[209] A249205

[212] A014715

[:2-215] A079586

[:0-218] A065421

[221] A085849

[225] A052483

[228] A072508

[231] A078416

[234] A068996

[237] A055060

[241] A143347

[244] A005596

[250] A037077

[253] A065481

[256] A085848

[257] A085846

[260] A075700

[263] A085365

[266] A014571

[269] A118228

[272] A243277

[275] A062546

[278] A065478

[280] A175639

[283] A033308

[286] A020857

[289] A064533

[291] A213007

[294] A243309

[296] A074962

[249] MRB constant

[1]

[2]

[nb 1]

[Mw 1]

[OEIS 1]

[3]

[4]

[Mw 2]

[OEIS 2]

[5]

[6]

[Mw 3]

[OEIS 3]

[7]

[OEIS 4]

[8]

[Mw 4]

[OEIS 5]

[9]

[Mw 5]

[OEIS 6]

[10]

[OEIS 7]

[11]

[nb 2]

[Mw 6]

[OEIS 8]

[12]

[Mw 7]

[OEIS 9]

[nb 3]

[13]

[14]

[Mw 8]

[OEIS 10]

[15]

[16]

[17]

[OEIS 11]

[18]

[Mw 9]

[OEIS 12]

[19]

[Mw 10]

[OEIS 13]

[20]

[Mw 11]

[OEIS 14]

[21]

[Mw 12]

[OEIS 15]

[22]

[23]

[Mw 13]

[OEIS 16]

[24]

[Mw 14]

[OEIS 17]

[25]

[26]

[27]

[Mw 15]

[OEIS 18]

[Mw 16]

[28]

[Mw 17]

[29]

[Mw 18]

[OEIS 19]

[30]

[Mw 19]

[OEIS 20]

[31]

[32]

[33]

[Mw 20]

[OEIS 21]

[34]

[Mw 21]

[OEIS 22]

[35]

[Mw 22]

[OEIS 23]

[36]

[Mw 23]

[OEIS 24]

[37]

[Mw 24]

[OEIS 25]

[38]

[Mw 25]

[OEIS 26]

[39]

[Mw 26]

[OEIS 27]

[40]

[41]

[Mw 27]

[OEIS 28]

[42]