गणितीय नियतांक

गणितीय नियतांक (mathematical constant) वह संख्या (प्राय: वास्तविक संख्या) है जो गणित में स्वभावत: उत्पन्न होती हैं। उदाहरण - पाई (π), आयलर संख्या ई (e) आदि। नियतांक एवं श्रेणियाँ —तालिका संरचना-- मान : नियतांक का संख्यात्मक मान लैटेक्स (LaTeX): TeX प्रारूप में सूत्र या श्रेणी सूत्र: मैथमैटिका (Mathematica) या वुल्फ्रैम अल्फा (Wolfram Alpha) आदि में प्रयोग के लिए OEIS: On-Line Encyclopedia of Integer Sequences सतत भिन्न: सरल प्रारूप [to integer; frac1, frac2, frac3, ...] में। (यदि आवर्ती हो तो कोष्टक में) Nº: - पूर्णांक - परिमेय संख्या - अपरिमेय संख्या - प्रागनुभविक संख्या (Transcendental number) - समिश्र संख्या (complex number) -क्वाटरनीयोन्ज़ (Quarternions) - ऑक्टोनॉट्स/ऑक्टोनीयन (octonion) - sedenions ''इस सूची के 'मान', 'नाम', 'OEIS' आदि पर क्लिक करके इस सूची को आवश्यकतानुसार क्रमित (ordered) कर सकते हैं। मान नाम संकेत लैटेक्स सूत्र Nº OEIS सतत भिन्न 3.62560990822190831193068515586767200 गामा (1/4) Refaat El Attar Special Functions And Orthogonal Polynomials http://books.google.com/books?id=r3Zj__Ag7LwC&pg=PA58&dq=3.6256&hl=es&sa=X&ei=rz6BUa70N-je7AbIz4DwBQ&ved=0CEEQuwUwAjgK#v=onepage&q=3.6256&f=false 2006 Lulu Press 1-4116-6690-9 58Γ(1/4)!TA068466[3;1,1,1,2,25,4,9,1,1,8,4,1,6,1,1,19,1,1,4,1,...] 0.95531661812450927816385710251575775 जादुई कोण (Magic angle) Andras Bezdek Discrete Geometry http://books.google.com/books?id=WoaxgpHu19gC&pg=PA150&lpg=PA150&dq=0.955316&source=bl&ots=B9UOijhVSG&sig=sNcYTefzeQ4IH2eDFsT6FHKNKyI&hl=es&sa=X&ei=6Vl2UZa2EYWN7QbpjIGwAQ&ved=0CEYQ6AEwAzgU#v=onepage&q=0.955316&f=false 2003 Marcel Dekkcr, Inc. 0-8247-0968-3 150arctan(sqrt(2))IA195696[0;1,21,2,1,1,1,2,1,2,2,4,1,2,9,1,2,1,1,1,3,...] 1.44466786100976613365833910859643022 Steiner number, Iterated Exponential Constant Eli Maor e: The Story of a Number http://books.google.com/books?id=dSfaaVccJ_UC&pg=PA51&lpg=PA51&dq=1.444667861&source=bl&ots=JbhJLgxYD2&sig=JBrfyATpomXfXQ-gDYiS17G9ZUY&hl=es&sa=X&ei=qpAXUq2PNpDn7AaPuYCIBg&redir_esc=y#v=onepage&q=1.444667861&f=false 2006 Princeton University Press 0-691-03390-0 3 सितंबर 2013 https://web.archive.org/web/20140629015008/http://books.google.com/books?id=dSfaaVccJ_UC&pg=PA51&lpg=PA51&dq=1.444667861&source=bl&ots=JbhJLgxYD2&sig=JBrfyATpomXfXQ-gDYiS17G9ZUY&hl=es&sa=X&ei=qpAXUq2PNpDn7AaPuYCIBg&redir_esc=y#v=onepage&q=1.444667861&f=false 29 जून 2014 live = Upper Limit of Tetratione^(1/e)TA073229 [1;2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...] 0.69220062755534635386542199718278976 Minimum value of función ƒ(x) = xx Clifford A. Pickover A Passion for Mathematics http://books.google.com/books?id=03CVDsZSBIcC&pg=PA387&dq=Clifford+A.Pickover+%22A+passion+for+mathematics%22+0.692200&hl=es&sa=X&ei=ojeAUaWcJOqw7AbzwIH4Dw&ved=0CDQQ6AEwAA#v=onepage&q=Clifford%20A.Pickover%20%22A%20passion%20for%20mathematics%22%200.692200&f=false 2005 John Wiley & Sons, Inc. 0-471-69098-8 90 3 सितंबर 2013 https://web.archive.org/web/20131211053340/http://books.google.com/books?id=03CVDsZSBIcC#v=onepage&q=Clifford%20A.Pickover%20%22A%20passion%20for%20mathematics%22%200.692200&f=false 11 दिसंबर 2013 live = Inverse Steiner Number e^(-1/e)TA072364 [0;1,2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...] 0.34053732955099914282627318443290289 Pólya Random Walk constant Steven R. Finch Mathematical Constants http://books.google.com/books?id=Pl5I2ZSI6uAC&pg=PA322&dq=%22P%C3%B3lya+Random+Walk%22+finch&hl=es&sa=X&ei=Gi3jUfa5FvPB7AbFo4GYBw&ved=0CD8QuwUwAQ#v=onepage&q=%22P%C3%B3lya%20Random%20Walk%22%20finch&f=false 2003 Cambridge University Press 3-540-67695-3 3221-16*Sqrt[2/3]*Pi^3 /((Gamma[1/24]*Gamma[5/24]*Gamma[7/24]*Gamma[11/24]) TA086230[0;2,1,14,1,3,8,1,5,2,7,1,12,1,5,59,1,1,1,3,...] 0.54325896534297670695272829530061323 Bloch-Landau constant Eric W. Weisstein CRC Concise Encyclopedia of Mathematics, Second Edition http://books.google.es/books?id=aFDWuZZslUUC&pg=PA1688&dq=Bloch-Landau+constant&hl=es&sa=X&ei=4_nrUZvZI6K47AbH_ICQCw&ved=0CEIQ6AEwAg#v=onepage&q=Bloch-Landau%20constant&f=false 2003 CRC Press 1-58488-347-2 1688gamma(1/3)*gamma(5/6)/gamma(1/6)TA081760[0;1,1,5,3,1,1,2,1,1,6,3,1,8,11,2,1,1,27,4,...] 0.18785964246206712024851793405427323 MRB Constant, Marvin Ray Burns M.R.Burns Root constant http://marvinrayburns.com/Original_MRB_Post.html 1999 http://marvinrayburns.com/ 3 सितंबर 2013 https://web.archive.org/web/20170220013455/http://marvinrayburns.com/Original_MRB_Post.html 20 फ़रवरी 2017 dead Richard E. Crandall Uni ed algorithms for polylogarithm, L-series, and zeta variants http://www.perfscipress.com/papers/UniversalTOC25.pdf 2012 http://www.perfscipress.com 3 सितंबर 2013 https://web.archive.org/web/20130430193005/http://www.perfscipress.com/papers/UniversalTOC25.pdf 30 अप्रैल 2013 dead RICHARD J. MATHAR NUMERICAL EVALUATION OF THE OSCILLATORY INTEGRAL OVER exp(I pi x)x^1/x BETWEEN 1 AND INFINITY http://arxiv.org/pdf/0912.3844v3.pdf 2010 http://arxiv.org/abs/0912.3844 3 सितंबर 2013 https://web.archive.org/web/20181215174836/https://arxiv.org/pdf/0912.3844v3.pdf 15 दिसंबर 2018 liveSum[n=1 to ∞]{(-1)^n (n^(1/n)-1)} TA037077[0;5,3,10,1,1,4,1,1,1,1,9,1,1,12,2,17,2,2,1,...] 0.74759792025341143517873094383017817 Rényi's Parking Constant Weisstein, Eric W Rényi's Parking Constants http://mathworld.wolfram.com/RenyisParkingConstants.html MathWorld (4) 3 सितंबर 2013 https://web.archive.org/web/20131213190342/http://mathworld.wolfram.com/RenyisParkingConstants.html 13 दिसंबर 2013 live [e^(-2*Gamma)] * Int{n,0,∞}[ e^(- 2*Gamma(0,n)) /n^2]TA050996[0;1,2,1,25,3,1,2,1,1,12,1,2,1,1,3,1,2,1,43,...] 1.27323954473516268615107010698011489 रामानुजन-फोर्सिथ श्रेणी H. K. Kuiken Practical Asymptotics http://books.google.com/books?id=r_-4OQ2CVY8C&pg=PA162&dq=1.2732395&hl=es&sa=X&ei=TiLsUcL3Deud7gaZk4CoCA&ved=0CFMQ6AEwBA#v=onepage&q=1.2732395&f=false 2001 KLUWER ACADEMIC PUBLISHERS 0-7923-6920-3 162Sum[n=0 to ∞] {[(2n-3)!! /(2n)!!]^2}TA088538[1;3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,1,1,10,...] 1.46707807943397547289779848470722995 Porter Constant Michel A. Théra Constructive, Experimental, and Nonlinear Analysis http://books.google.com/books?id=QTcCSegK6jQC&pg=PA80&dq=%22Porter%E2%80%99s+constant%22&hl=es&sa=X&ei=CxjQUaXHEYu7PYf1gKgD&ved=0CEIQ6AEwAg#v=onepage&q=%22Porter%E2%80%99s%20constant%22&f=false 2002 CMS-AMS 0-8218-2167-9 77 6*ln2/Pi^2(3*ln2+ 4 EulerGamma- WeierstrassZeta'(2) *24/Pi^2-2)-1/2 TA086237[1;2,7,10,1,2,38,5,4,1,4,12,5,1,5,1,2,3,1,...] 4.66920160910299067185320382046620161 Feigenbaum constant δ Kathleen T. Alligood Chaos: An Introduction to Dynamical Systems http://books.google.com/books?id=i633SeDqq-oC&pg=PA500&dq=669201609&hl=es&sa=X&ei=5xaZUdHXDK6S7AaWwYHgBA&redir_esc=y#v=onepage&q=669201609&f=false 1996 Springer 0-387-94677-2 3 सितंबर 2013 https://web.archive.org/web/20140707223910/http://books.google.com/books?id=i633SeDqq-oC&pg=PA500&dq=669201609&hl=es&sa=X&ei=5xaZUdHXDK6S7AaWwYHgBA&redir_esc=y#v=onepage&q=669201609&f=false 7 जुलाई 2014 liveTA006890[4;1,2,43,2,163,2,3,1,1,2,5,1,2,3,80,2,5,...] 2.50290787509589282228390287321821578 Feigenbaum constant α K. T. Chau,Zheng Wang Chaos in Electric Drive Systems: Analysis, Control and Application http://books.google.com/books?id=DhCbYXzLFLsC&pg=PA7&dq=2.502907875095892822283902873218&hl=es&sa=X&ei=DCTkUczJI-GM7AahuoDAAw&ved=0CDoQ6AEwAQ#v=onepage&q=2.502907875095892822283902873218&f=false 201 John Wiley & Son 978-0-470-82633-1 7 3 सितंबर 2013 https://web.archive.org/web/20140707091448/http://books.google.com/books?id=DhCbYXzLFLsC&pg=PA7&dq=2.502907875095892822283902873218&hl=es&sa=X&ei=DCTkUczJI-GM7AahuoDAAw&ved=0CDoQ6AEwAQ#v=onepage&q=2.502907875095892822283902873218&f=false 7 जुलाई 2014 liveTA006891[2;1,1,85,2,8,1,10,16,3,8,9,2,1,40,1,2,3,...] 0.62432998854355087099293638310083724 Golomb–Dickman constant Eric W. Weisstein CRC Concise Encyclopedia of Mathematics http://books.google.com/books?id=aFDWuZZslUUC&pg=PA1211&lpg=PA1211&dq=Golomb%E2%80%93Dickman+constant&source=bl&ots=4pfPwvGcbL&sig=GR6TG-oIACy0sYQF8R1eRkcrRmM&hl=es&sa=X&ei=BLvGUd2WB4WKhQf754GYDg&ved=0CG8Q6AEwCQ#v=onepage&q=Golomb%E2%80%93Dickman%20constant&f=false 2002 Crc Press 1212N[Int{n,0,1}[e^Li(n)],34]TA084945[0;1,1,1,1,1,22,1,2,3,1,1,11,1,1,2,22,2,6,1,...] 23.1406926327792690057290863679485474 Gelfond constant David Wells The Penguin Dictionary of Curious and Interesting Numbers http://books.google.com/books?id=7L7xcjBPemEC&pg=RA2-PA4&dq=23.14069&hl=es&sa=X&ei=mIvcUavvLuKJ7Aa_04HYCg&ved=0CF8Q6AEwBg#v=onepage&q=23.14069&f=false 1997 Penguin Books Ltd. 4Sum[n=0 to ∞] {(pi^n)/n!}TA039661[23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...] 7.38905609893065022723042746057500781 शंकु नियतांक (Conic constant), Schwarzschild constant Jvrg Arndt,Christoph Haenel Pi: Algorithmen, Computer, Arithmetik http://books.google.com/books?id=mchJCvIsSXwC&pg=PA67&dq=7.38905&hl=es&sa=X&ei=n2PQUbz6JsbAPM_egKAG&ved=0CDsQ6AEwATge#v=onepage&q=7.38905&f=false Springer 3-540-66258-8 67 Sum[n=0 to ∞]{2^n/n!}TA072334[7;2,1,1,3,18,5,1,1,6,30,8,1,1,9,42,11,1,...]= [7,2, (1,1,n,4*n+6,n+2)], n = 3, 6, 9, etc. 0.35323637185499598454351655043268201 Hafner-Sarnak-McCurley constant (1) Steven R. Finch Mathematical Constants http://books.google.com/books?id=Pl5I2ZSI6uAC&pg=PA110&dq=%22Hafner-Sarnak-McCurley+constant%22&hl=es&sa=X&ei=jXW_UcDoN7SR7AbN44GoAw&ved=0CDMQ6AEwAA#v=onepage&q=%22Hafner-Sarnak-McCurley%20constant%22&f=false 2003 3-540-67695-3 110prod[k=1 to ∞] {1-(1-prod[j=1 to n] {1-ithprime(k)^-j})^2} TA085849[0;2,1,4,1,10,1,8,1,4,1,2,1,2,1,2,6,1,1,1,3,...] 0.60792710185402662866327677925836583 Hafner-Sarnak-McCurley constant (2) Holger Hermanns,Roberto Segala Process Algebra and Probabilistic Methods. http://books.google.com/books?id=007-3SM9QmYC&pg=PA270&dq=0.607927101854026628663276779&hl=es&sa=X&ei=JViBUbGmGofy7Ab7j4HoBQ&sqi=2&ved=0CDwQ6AEwAg#v=onepage&q=0.607927101854026628663276779&f=false 2000 Springer-Verlag 3-540-67695-3 270Prod{n=1 to ∞}(1-1/ithprime(n)^2) TA059956[0;1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,...] 1.58496250072115618145373894394781651 Hausdorff dimension, Sierpinski triangle Eric W. Weisstein CRC Concise Encyclopedia of Mathematics, Second Edition http://books.google.com/books?id=aFDWuZZslUUC&pg=PA2685&dq=1.584962500&hl=es&sa=X&ei=Db6rUaP9Aq-M7Ab9sYHADA&redir_esc=y#v=onepage&q=1.584962500&f=false 2002 CRC Press 1-58488-347-2 1356 3 सितंबर 2013 https://web.archive.org/web/20140103084801/http://books.google.com/books?id=aFDWuZZslUUC&pg=PA2685&dq=1.584962500&hl=es&sa=X&ei=Db6rUaP9Aq-M7Ab9sYHADA&redir_esc=y#v=onepage&q=1.584962500&f=false 3 जनवरी 2014 live(Sum[n=0 to ∞] {1/(2^(2n+1) (2n+1))})/ (Sum[n=0 to ∞] {1/(3^(2n+1) (2n+1))})TA020857[1;1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...] 0.12345678910111213141516171819202123 Champernowne constant Michael J. Dinneen,Bakhadyr Khoussainov,Prof. Andre Nies Computation, Physics and Beyond http://books.google.com/books?id=wRWyMbmJTMYC&pg=PA109&dq=%22Champernowne+number%22&hl=es&sa=X&ei=L5KzUbidJqjT7AbWpoCoBQ&redir_esc=y#v=onepage&q=%22Champernowne%20number%22&f=false 2012 Springer 978-3-642-27653-8 110 3 सितंबर 2013 https://web.archive.org/web/20160404122220/https://books.google.com/books?id=wRWyMbmJTMYC&pg=PA109&dq=%22Champernowne+number%22&hl=es&sa=X&ei=L5KzUbidJqjT7AbWpoCoBQ&redir_esc=y#v=onepage&q=%22Champernowne%20number%22&f=false 4 अप्रैल 2016 liveTA033307[0;8,9,1,149083,1,1,1,4,1,1,1,3,4,1,1,1,15,...] 0.76422365358922066299069873125009232 Landau-Ramanujan constant Richard E. Crandall,Carl B. Pomerance Prime Numbers: A Computational Perspective http://books.google.com/books?id=ZXjHKPS1LEAC&pg=PA80&dq=Landau-Ramanujan+constant&hl=es&sa=X&ei=79K5UenbDpCy7Ab6tIGQDw&ved=0CFkQ6AEwBQ#v=onepage&q=Landau-Ramanujan%20constant&f=false 2005 Springer 978-0387-25282-7 80 3 सितंबर 2013 https://web.archive.org/web/20140719063151/http://books.google.com/books?id=ZXjHKPS1LEAC&pg=PA80&dq=Landau-Ramanujan+constant&hl=es&sa=X&ei=79K5UenbDpCy7Ab6tIGQDw&ved=0CFkQ6AEwBQ#v=onepage&q=Landau-Ramanujan%20constant&f=false 19 जुलाई 2014 liveTA064533[0;1,3,4,6,1,15,1,2,2,3,1,23,3,1,1,3,1,1,6,4,...]0.11000100000000000000000100...Liouville number Calvin C. Clawson Mathematical Traveler: Exploring the Grand History of Numbers http://books.google.com/books?id=E3Eu3sV_anUC&pg=PA187&dq=Liouville+number+0.11000100000000000000000100&hl=es&sa=X&ei=LxmzUZrELfSR7Aa5_ICIDA&redir_esc=y#v=onepage&q=Liouville%20number%200.11000100000000000000000100&f=false 2003 Perseus 0-7382-0835-3 187 3 सितंबर 2013 https://web.archive.org/web/20160909063929/https://books.google.com/books?id=E3Eu3sV_anUC&pg=PA187&dq=Liouville+number+0.11000100000000000000000100&hl=es&sa=X&ei=LxmzUZrELfSR7Aa5_ICIDA&redir_esc=y#v=onepage&q=Liouville%20number%200.11000100000000000000000100&f=false 9 सितंबर 2016 liveSum[n=1 to ∞] {10^(-n!)}TA012245[1;9,1,999,10,9999999999999,1,9,999,1,9]१.९२८७८००...राइट नियतांक (Wright constant) Paulo Ribenboim My Numbers, My Friends: Popular Lectures on Number Theory http://books.google.com/books?id=EiYvlcimEi4C&pg=PA66&dq=1.9287800&hl=es&sa=X&ei=UjpsUbvVDazH7AaOv4HoAw&ved=0CDAQ6AEwAA#v=onepage&q=1.9287800&f=false 2000 Springer-Verlag 0-387-98911-0 66 A086238[1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3] 2.71828182845904523536028747135266250 Number e, Euler's number E.Kasner y J.Newman. Mathematics and the Imagination p.77 2007 Conaculta 978-968-5374-20-0 http://books.google.com/books?id=zdBHMHV3m5YC&pg=PA76&dq=2.7182818284590452353602874&hl=es&sa=X&ei=kIiPUe65Fcf07AbKnIHYBg&ved=0CDMQ6AEwAA#v=onepage&q=2.7182818284590452353602874&f=falseSum[n=0 to ∞]{1/n!} TA001113[2;1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [2;(1,2p,1)], p∈ℕ 0.36787944117144232159552377016146086 Reverse of Number e Eli Maor "e": The Story of a Number http://books.google.com/books?id=eIsyLD_bDKkC&pg=PA37&dq=0.367879441&hl=es&sa=X&ei=dFWPUfuhB8aN7AabzIAQ&redir_esc=y#v=onepage&q=0.367879441&f=false 1994 Princeton University Press 978-0-691-14134-3 37 3 सितंबर 2013 https://web.archive.org/web/20160910160810/https://books.google.com/books?id=eIsyLD_bDKkC&pg=PA37&dq=0.367879441&hl=es&sa=X&ei=dFWPUfuhB8aN7AabzIAQ&redir_esc=y#v=onepage&q=0.367879441&f=false 10 सितंबर 2016 liveSum[n=2 to ∞]{(-1)^n/n!}TA068985[0;2,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,...] = [0;2,1, (1,2p,1)], p∈ℕ0.6903471261... Upper iterated exponential Theo Kempermann Zahlentheoretische Kostproben http://books.google.com/books?id=c70frvZ9TEQC&pg=PA139&lpg=PA139&dq=0,690347+0,658366&source=bl&ots=R7c3Q6hRq3&sig=M2YtqpgUZoFP7pSv5L_1_w6H5aM&hl=es&sa=X&ei=odVqUb6GFsrQ7AawkYDgAw&redir_esc=y#v=onepage&q=0%2C690347%200%2C658366&f=false 2005 Freiburger graphische betriebe 3-8171-1780-9 139सितंबर 2021 InternetArchiveBot 2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12^-13 …T[0;1,2,4,2,1,3,1,2,2,1,4,1,2,4,61,5,...]0.6583655992... Lower límit iterated exponential Steven Finch Mathematical Constants ? http://books.google.com/books?id=DL5iVYNoEa0C&pg=PA449&lpg=PA449&dq=0.6583655992&source=bl&ots=N6P2m6uQBr&sig=iXVbk64hcgZ7n8wxM8lMcZx3tOE&hl=es&sa=X&ei=YoFpUZ_6Ds-d7gaywYHwAw&redir_esc=y#v=onepage&q=0.6583655992&f=false 2003 Cambridge University Press 0-521-81805-2 449 3 सितंबर 2013 https://web.archive.org/web/20121111233832/http://books.google.com/books?id=DL5iVYNoEa0C#v=onepage&q=0.6583655992&f=false 11 नवंबर 2012 live 2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12 …T[0;1,1,1,12,1,2,1,1,4,3,1,1,2,1,2,1,51,2,2,1,...] 0.63661977236758134307553505349005745 २/π, François Viète product Jorg Arndt,Christoph Haenel Pi -- Unleashed 13 2000 Verlag Berlin Heidelberg 3-540-66572-2 http://books.google.com/books?id=QwwcmweJCDQC&pg=PA13&dq=Fran%C3%A7ois+Vi%C3%A8te+(1540-1603)+developed&hl=es&sa=X&ei=3z6rUayICO7G7Aag9IDIDA&redir_esc=y#v=onepage&q=Fran%C3%A7ois%20Vi%C3%A8te%20(1540-1603)%20developed&f=false 3 सितंबर 2013 https://web.archive.org/web/20160910094651/https://books.google.com/books?id=QwwcmweJCDQC&pg=PA13&dq=Fran%C3%A7ois+Vi%C3%A8te+(1540-1603)+developed&hl=es&sa=X&ei=3z6rUayICO7G7Aag9IDIDA&redir_esc=y#v=onepage&q=Fran%C3%A7ois%20Vi%C3%A8te%20(1540-1603)%20developed&f=false 10 सितंबर 2016 liveTA060294[0;1,1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,...] 3.14159265358979323846264338327950288 π संख्या, Archimedes number Michael Trott The Mathematica GuideBook for Programming http://books.google.com/books?id=iZTxaxT_YeMC&pg=PA173&dq=pi+nested+radical&hl=es&sa=X&ei=nBWpUa_NG4m9igL9wIHgDQ&redir_esc=y#v=onepage&q=pi%20nested%20radical&f=false 2004 Springer Science 0-387-94282-3 173 3 सितंबर 2013 https://web.archive.org/web/20140704230240/http://books.google.com/books?id=iZTxaxT_YeMC&pg=PA173&dq=pi+nested+radical&hl=es&sa=X&ei=nBWpUa_NG4m9igL9wIHgDQ&redir_esc=y#v=onepage&q=pi%20nested%20radical&f=false 4 जुलाई 2014 liveSum[n=0 to ∞]{(-1)^n 4/(2n+1)} TA000796[3;7,15,1,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,...]1.902160583104 Brun 2 constant = Σ inverse of Twin primes Thomas Koshy Elementary Number Theory with Applications http://books.google.com/books?id=d5Z5I3gnFh0C&pg=PA118&dq=Brun+constant&hl=es&sa=X&ei=DR-pUc_hOYOdiQK9n4DgBQ&redir_esc=y#v=onepage&q=Brun%20constant&f=false 2007 Elsevier 978-0-12-372-487-8 119 3 सितंबर 2013 https://web.archive.org/web/20140707022702/http://books.google.com/books?id=d5Z5I3gnFh0C&pg=PA118&dq=Brun+constant&hl=es&sa=X&ei=DR-pUc_hOYOdiQK9n4DgBQ&redir_esc=y#v=onepage&q=Brun%20constant&f=false 7 जुलाई 2014 liveA065421[1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2]0.870588379975 Brun 4 constant = Σ inv.prime quadruplets A213007[0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1] 0.46364760900080611621425623146121440 Machin-Gregory serie John Horton Conway, Richard K. Guy. The Book of Numbers http://books.google.com/books?id=0--3rcO7dMYC&pg=PA242&dq=%22The+Book+of+Numbers%22+%22mathematician+David+Gregory%22&hl=es&sa=X&ei=yJOeUbLlJaXd7Qae3oGQCA&redir_esc=y#v=onepage&q=%22The%20Book%20of%20Numbers%22%20%22mathematician%20David%20Gregory%22&f=false 1995 Copernicus 0-387-97993-X 242 3 सितंबर 2013 https://web.archive.org/web/20140112031228/http://books.google.com/books?id=0--3rcO7dMYC&pg=PA242&dq=%22The+Book+of+Numbers%22+%22mathematician+David+Gregory%22&hl=es&sa=X&ei=yJOeUbLlJaXd7Qae3oGQCA&redir_esc=y#v=onepage&q=%22The%20Book%20of%20Numbers%22%20%22mathematician%20David%20Gregory%22&f=false 12 जनवरी 2014 liveSum[n=0 to ∞] {(-1)^n (1/2)^(2n+1)/(2n+1)}TA073000[0;2,6,2,1,1,1,6,1,2,1,1,2,10,1,2,1,2,1,1,1,...] 0.59634736232319407434107849936927937 Euler-Gompertz constant Annie Cuyt, Viadis Brevik Petersen, Brigitte Verdonk, William B. Jones Handbook of continued fractions for special functions http://books.google.com/books?id=DQtpJaEs4NIC&pg=PA190&dq=Gompertz+constant&hl=es&sa=X&ei=7fJyUenlH8O07Qa84oGQAQ&redir_esc=y#v=onepage&q=Gompertz%20constant&f=false 2008 Springer Science 978-1-4020-6948-2 190 3 सितंबर 2013 https://web.archive.org/web/20160308144743/https://books.google.com/books?id=DQtpJaEs4NIC&pg=PA190&dq=Gompertz+constant&hl=es&sa=X&ei=7fJyUenlH8O07Qa84oGQAQ&redir_esc=y#v=onepage&q=Gompertz%20constant&f=false 8 मार्च 2016 liveintegral[0 to ∞]{(e^-n)/(1+n)}TA073003[0;1,1,2,10,1,1,4,2,2,13,2,4,1,32,4,8,1,1,1,...] 0.69777465796400798200679059255175260 Continued fraction constant, Bessel function(Sum [n=0 to ∞]{n/(n!n!)}) /(Sum [n=0 to ∞]{1/(n!n!)})A052119[0;1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,...] = [0;(p+1)], p∈ℕ 0.43828293672703211162697516355126482 + 0.36059247187138548595294052690600 i अनंतटिट्रेशन/Tetration i का(2/Pi) i ProductLog[-((Pi/2) i)]CA077589 A077590[0;2,3,1,1,4,2,2,1,10,2,1,3,1,8,2,1,2,1, ...] + [0;2,1,3,2,2,3,1,5,5,1,2,1,10,10,6,1,1...] i 2.74723827493230433305746518613420282 Ramanujan nested radical Bruce C. Berndt,Robert Alexander Rankin Ramanujan: essays and surveys http://books.google.com/books?id=TT1T8A94xNcC&pg=PA219&dq=Ramanujan+nested+radical&hl=es&sa=X&ei=WEBsUcj8LJSw7AbPloHwDQ&redir_esc=y#v=onepage&q=Ramanujan%20nested%20radical&f=false 2001 American Mathematical Society, London Mathematical Society 0-8218-2624-7 219(2+sqrt(5)+sqrt(15-6 sqrt(5)))/2I[2;1,2,1,21,1,7,2,1,1,2,1,2,1,17,4,4,1,1,4,2,...] 1.01494160640965362502120255427452028 Gieseking constant .sqrt(3)*3/4 *(1-Sum[n=0 to ∞]{1/((3n+2)^2)}+Sum[n=1 to ∞]{1/((3n+1)^2)})TA143298[1;66,1,12,1,2,1,4,2,1,3,3,1,4,1,56,2,2,11,...] 1.66168794963359412129581892274995074 Somos' quadratic recurrence constant prod[n=1 to ∞]{n ^(1/2)^n}TA065481 [1;1,1,1,21,1,1,1,6,4,2,1,1,2,1,3,1,13,13,...] 0.56714329040978387299996866221035555 Omega constant, Lambert W function Sum[n=1 to ∞]{(-n)^(n-1)/n!}A030178[0;1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,2,1,...] 0.96894614625936938048363484584691860 Beta(3) Michael A. Idowu Fundamental relations between the Dirichlet beta function, euler numbers, and Riemann zeta function for positive integers http://arxiv.org/abs/1210.5559 2012 arXiv:1210.5559 1 3 सितंबर 2013 https://web.archive.org/web/20190126220750/https://arxiv.org/abs/1210.5559 26 जनवरी 2019 live Sum[n=1 to ∞]{(-1)^(n+1)/(-1+2n)^3}TA153071[0;1,31,4,1,18,21,1,1,2,1,2,1,3,6,3,28,1,...] 2.23606797749978969640917366873127624 Square root of 5, Gauss sum P A J Lewis Essential Mathematics 9 http://books.google.com/books?id=KjMVx6ljh6YC&pg=PA24&dq=2.236067977&hl=es&sa=X&ei=d1t0UagV6cXsBoP4gOgB&sqi=2&redir_esc=y#v=onepage&q=2.236067977&f=false 2008 Ratna Sagar 9788183323673 24Sum[k=0 to 4]{e^(2k^2 pi i/5)}IA002163[2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...] = [2;(4),...] 3.35988566624317755317201130291892717 Prévost constantFn: Fibonacci seriesSum[n=1 to ∞]{1/Fibonacci[n]}IA079586[3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...] 2.68545200106530644530971483548179569 Khinchin's constant Julian Havil Gamma: Exploring Euler's Constant http://books.google.com/books?id=7-sDtIy8MNIC&pg=PA161&dq=Khinchin%27s+constant&hl=es&sa=X&ei=uhipUcyGCeeQigKzxoDwDA&redir_esc=y#v=onepage&q=Khinchin's%20constant&f=false 2003 Princeton University Press 9780691141336 161 3 सितंबर 2013 https://web.archive.org/web/20140626191833/http://books.google.com/books?id=7-sDtIy8MNIC&pg=PA161&dq=Khinchin%27s+constant&hl=es&sa=X&ei=uhipUcyGCeeQigKzxoDwDA&redir_esc=y#v=onepage&q=Khinchin's%20constant&f=false 26 जून 2014 liveProd[n=1 to ∞] {(1+1/(n(n+2))) ^(ln(n)/ln(2))}?A002210[2;1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,...] इन्हें भी देखें अपरिमेय संख्या बीजीय संख्या गणित सन्दर्भ बाहरी कड़ियाँ Constants - from Wolfram MathWorld Inverse symbolic calculator (CECM, ISC) (tells you how a given number can be constructed from mathematical constants) On-Line Encyclopedia of Integer Sequences (OEIS) Simon Plouffe's inverter Steven Finch's page of mathematical constants Xavier Gourdon and Pascal Sebah's page of numbers, mathematical constants and algorithms श्रेणी:गणित *