Rahmân Suresi - Ayet 7
Sure 55: Rahmân/Rahmân
Arapça Metin (Harekeli)
4906|55|7|وَٱلسَّمَآءَ رَفَعَهَا وَوَضَعَ ٱلْمِيزَانَ
Latin Literal
7. Ves semâe refeahâ ve vedaal mîzân(mîzâne).
Türkçe Çeviri
Ve gök180*; yükseltti231 onu*; ve koydu mizanı228.
Notlar
Not 1
*Evren.**Evreni.
Bu Ayette Geçen Kavramlar:
Kavram 180:
Kısa Açıklama: 180 Kur’an’a göre gök kavramı başımızı göğe çevirip baktığımızda gördüğümüz veya göremediğimiz her şeyi kapsar. Tekil olarak; Dünya atmosferi, diğer gezegenlerin atmosferi, galaksimiz içindeki bir nebula/bulutsu ya da evrenin kendisi işaret edilmiş olabilir. Gök kavramı ayetin işareti üzerinden okunmalıdır.
gök; göğü
Kısa Açıklama: 180 Kur’an’a göre gök kavramı başımızı göğe çevirip baktığımızda gördüğümüz veya göremediğimiz her şeyi kapsar. Tekil olarak; Dünya atmosferi, diğer gezegenlerin atmosferi, galaksimiz içindeki bir nebula/bulutsu ya da evrenin kendisi işaret edilmiş olabilir. Gök kavramı ayetin işareti üzerinden okunmalıdır.
Kavram 228:
Kısa Açıklama: 228 Ölçü, tartı. Evren muhteşem ölçüler içerir. Modern bilim Yüce Allah'ın koyduğu bu ölçüleri evrensel sabitler olarak tanımlamaktadır. Evrenin her yerinde geçerli olan bu sabitlere en iyi örnek Pi sayısıdır. Sonsuza kadar giden bu sayının tamamını ancak Yüce Allah bilir. Evrenin ilk oluşum anındaki entropi değeri o kadar düşük bir değerdir ki ancak bir ilâh bu hesaplamayı yaparak 13.8 milyar yıl sonra muhteşem, hayat dolu evrenimizin oluşmasını sağlayacak entropi artışını ayarlayabilir. Çok sayıda fizik ve matematik sabitlerini incelemek için kavram numarasını tıklayınız.
Detaylı Açıklama: Atomic mass constant Atomik kütle sabiti Avogadro constant Avogadro sabiti Boltzmann constant Boltzmann sabiti Conductance quantum İletkenlik kuantum Electron mass Elektron kütlesi Electron volt Elektron volt Elementary charge Temel yük Faraday constant Faraday sabiti Fine-structure constant İnce yapı sabiti İnverse fine-structure constant Ters ince yapı sabiti Josephson constant Josephson sabiti Magnetic flux quantum Manyetik akı kuantumu Molar gas constant Molar gaz sabiti Newtonian constant of gravitation Newton yerçekimi sabiti Planck constant Planck sabiti Proton mass Proton kütlesi Proton-electron mass ratio Proton-elektron kütle oranı Reduced Planck constant İndirgenmiş Planck sabiti Rydberg constant times c in Hz Hz cinsinden Rydberg sabiti çarpı c Stefan-Boltzmann constant Stefan-Boltzmann sabiti Vacuum electric permittivity Vakum elektrik geçirgenliği Vacuum magnetic permeability Vakum manyetik geçirgenliği Von Klitzing constant Von Klitzing sabiti One 1 1 Prehistory � Two 2 2 Prehistory � One half 1/2 0.5 Prehistory � Pi � 3.14159 26535 89793 23846 [Mw 1][OEIS 1] Ratio of a circle's circumference to its diameter. 1900 to 1600 BCE [2] �∖� Tau � 6.28318 53071 79586 47692 [3][OEIS 2] Ratio of a circle's circumference to its radius. Equivalent to 2� 1900 to 1600 BCE [2] �∖� Square root of 2,Pythagoras constant. [4] 2 1.41421 35623 73095 04880 [Mw 2][OEIS 3] Positive root of �2=2 1800 to 1600 BCE [5] � Square root of 3,Theodorus' constant [6] 3 1.73205 08075 68877 29352 [Mw 3][OEIS 4] Positive root of �2=3 465 to 398 BCE � Square root of 5 [7] 5 2.23606 79774 99789 69640 [OEIS 5] Positive root of �2=5 � Phi, Golden ratio [8] � or � 1.61803 39887 49894 84820 [Mw 4][OEIS 6] 1+52 ~300 BCE � Silver ratio [9] �� 2.41421 35623 73095 04880 [Mw 5][OEIS 7] 2+1 ~300 BCE � Zero 0 0 300 to 100 BCE [10] � Negative one −1 −1 300 to 200 BCE � Cube root of 2 23 1.25992 10498 94873 16476 [Mw 6][OEIS 8] Real root of �3=2 46 to 120 CE [11] � Cube root of 3 33 1.44224 95703 07408 38232 [OEIS 9] Real root of �3=3 � Twelfth root of 2 [12] 212 1.05946 30943 59295 26456 [OEIS 10] Real root of �12=2 � Supergolden ratio [13] � 1.46557 12318 76768 02665 [OEIS 11] 1+29+39323+29−393233Real root of �3=�2+1 � Imaginary unit [14] � 0 + 1i Principal root of �2=−1 [nb 1] 1501 to 1576 � Connective constant for the hexagonal lattice [15][16] � 1.84775 90650 22573 51225 [Mw 7][OEIS 12] 2+2, as a root of the polynomial �4−4�2+2=0 1593 [OEIS 12] � Kepler–Bouwkamp constant [17] �′ 0.11494 20448 53296 20070 [Mw 8][OEIS 13] ∏�=3∞cos(��)=cos(�3)cos(�4)cos(�5)... 1596 [OEIS 13] Wallis's constant 2.09455 14815 42326 59148 [Mw 9][OEIS 14] 45−1929183+45+1929183Real root of �3−2�−5=0 1616 to 1703 � Euler's number [18] � 2.71828 18284 59045 23536 [Mw 10][OEIS 15] lim�→∞(1+1�)�=∑�=0∞1�!=1+11!+12!+13!⋯ 1618 [19] �∖� Natural logarithm of 2 [20] ln2 0.69314 71805 59945 30941 [Mw 11][OEIS 16] Real root of ��=2∑�=1∞(−1)�+1�=11−12+13−14+⋯ 1619 [21] & 1668 [22] �∖� Lemniscate constant [23] � 2.62205 75542 92119 81046 [Mw 12][OEIS 17] ��=42�Γ(54)2=142�Γ(14)2where � is Gauss's constant 1718 to 1798 �∖� Euler's constant � 0.57721 56649 01532 86060 [Mw 13][OEIS 18] lim�→∞(−log�+∑�=1�1�)=∫1∞(−1�+1⌊�⌋)�� 1735 Erdős–Borwein constant [24] � 1.60669 51524 15291 76378 [Mw 14][OEIS 19] ∑�=1∞12�−1=11+13+17+115+⋯ 1749 [25] �∖� Omega constant Ω 0.56714 32904 09783 87299 [Mw 15][OEIS 20] �(1)=1�∫0�log(1+sin����cot�)��where W is the Lambert W function 1758 & 1783 �∖� Apéry's constant [26] �(3) 1.20205 69031 59594 28539 [Mw 16][OEIS 21] ∑�=1∞1�3=113+123+133+143+153+⋯ 1780 [OEIS 21] �∖� Laplace limit [27] 0.66274 34193 49181 58097 [Mw 17][OEIS 22] Real root of ���2+1�2+1+1=1 ~1782 �∖� Soldner constant [28][29] � 1.45136 92348 83381 05028 [Mw 18][OEIS 23] li(�)=∫0���ln�=0; root of the logarithmic integral function. 1792 [OEIS 23] Gauss's constant [30] � 0.83462 68416 74073 18628 [Mw 19][OEIS 24] 1agm(1,2)=Γ(14)222�3=2�∫01��1−�4where agm is the arithmetic–geometric mean 1799 [31] �∖� Second Hermite constant [32] �2 1.15470 05383 79251 52901 [Mw 20][OEIS 25] 23 1822 to 1901 � Liouville's constant [33] � 0.11000 10000 00000 00000 0001 [Mw 21][OEIS 26] ∑�=1∞110�!=1101!+1102!+1103!+1104!+⋯ Before 1844 �∖� First continued fraction constant �1 0.69777 46579 64007 98201 [Mw 22][OEIS 27] 11+12+13+14+15+⋯�1(2)�0(2), where ��(�) is the modified Bessel function 1855 [34] �∖� Ramanujan's constant [35] 262 53741 26407 68743 .99999 99999 99250 073 [Mw 23][OEIS 28] ��163 1859 �∖� Glaisher–Kinkelin constant � 1.28242 71291 00622 63687 [Mw 24][OEIS 29] �112−�′(−1)=�18−12∑�=0∞1�+1∑�=0�(−1)�(��)(�+1)2ln(�+1) 1860 [OEIS 29] Catalan's constant [36][37][38] � 0.91596 55941 77219 01505 [Mw 25][OEIS 30] ∫01∫01����1+�2�2=∑�=0∞(−1)�(2�+1)2=112−132+⋯ 1864 Dottie number [39] 0.73908 51332 15160 64165 [Mw 26][OEIS 31] Real root of cos�=� 1865 [Mw 26] �∖� Meissel–Mertens constant [40] � 0.26149 72128 47642 78375 [Mw 27][OEIS 32] lim�→∞(∑�≤�1�−lnln�)=�+∑�(ln(1−1�)+1�)where γ is the Euler–Mascheroni constant and p is prime 1866 & 1873 Universal parabolic constant [41] � 2.29558 71493 92638 07403 [Mw 28][OEIS 33] ln(1+2)+2=arsinh(1)+2 Before 1891 [42] �∖� Cahen's constant [43] � 0.64341 05462 88338 02618 [Mw 29][OEIS 34] ∑�=1∞(−1)���−1=11−12+16−142+11806±⋯where s k is the kth term of Sylvester's sequence 2, 3, 7, 43, 1807, ... 1891 �∖� Gelfond's constant [44] �� 23.14069 26327 79269 0057 [Mw 30][OEIS 35] (−1)−�=�−2�=∑�=0∞���!=1+�11+�22+�36+⋯ 1900 [45] �∖� Gelfond–Schneider constant [46] 22 2.66514 41426 90225 18865 [Mw 31][OEIS 36] Before 1902 [OEIS 36] �∖� Second Favard constant [47] �2 1.23370 05501 36169 82735 [Mw 32][OEIS 37] �28=∑�=0∞1(2�−1)2=112+132+152+172+⋯ 1902 to 1965 �∖� Golden angle [48] � 2.39996 32297 28653 32223 [Mw 33][OEIS 38] 2��2=�(3−5) or180(3−5)=137.50776… in degrees 1907 �∖� Sierpiński's constant [49] � 2.58498 17595 79253 21706 [Mw 34][OEIS 39] �(2�+ln4�3Γ(14)4)=�(2�+4lnΓ(34)−ln�)=�(2ln2+3ln�+2�−4lnΓ(14)) 1907 Landau–Ramanujan constant [50] � 0.76422 36535 89220 66299 [Mw 35][OEIS 40] 12∏�≡3 mod 4�prime(1−1�2)−12=�4∏�≡1 mod 4�prime(1−1�2)12 1908 [OEIS 40] First Nielsen–Ramanujan constant [51] �1 0.82246 70334 24113 21823 [Mw 36][OEIS 41] �(2)2=�212=∑�=1∞(−1)�+1�2=112−122+132−142+⋯ 1909 �∖� Gieseking constant [52] � 1.01494 16064 09653 62502 [Mw 37][OEIS 42] 334(1−∑�=0∞1(3�+2)2+∑�=1∞1(3�+1)2)=334(1−122+142−152+172−182+1102±⋯). 1912 Bernstein's constant [53] � 0.28016 94990 23869 13303 [Mw 38][OEIS 43] lim�→∞2��2�(�), where E n (f) is the error of the best uniform approximation to a real function f(x) on the interval [−1, 1] by real polynomials of no more than degree n, and f(x) = |x| 1913 Tribonacci constant [54] 1.83928 67552 14161 13255 [Mw 39][OEIS 44] 1+19+3333+19−33333=1+4cosh(13cosh−1(2+38))3Real root of �3−�2−�−1=0 1914 to 1963 � Brun's constant [55] �2 1.90216 05831 04 [Mw 40][OEIS 45] ∑�(1�+1�+2)=(13+15)+(15+17)+(111+113)+⋯where the sum ranges over all primes p such that p + 2 is also a prime 1919 [OEIS 45] Twin primes constant �2 0.66016 18158 46869 57392 [Mw 41][OEIS 46] ∏�prime�≥3(1−1(�−1)2) 1922 Plastic ratio [56] � 1.32471 79572 44746 02596 [Mw 42][OEIS 47] 1+1+1+⋯333=12+69183+12−69183Real root of �3=�+1 1924 [OEIS 47] � Bloch's constant [57] � 0.4332≤�≤0.4719 [Mw 43][OEIS 48] The best known bounds are 34+2×10−4≤�≤3−12⋅Γ(13)Γ(1112)Γ(14) 1925 [OEIS 48] Z score for the 97.5 percentile point [58][59][60][61] �.975 1.95996 39845 40054 23552 [Mw 44][OEIS 49] 2erf−1(0.95) where erf −1 (x) is the inverse error functionReal number � such that 12�∫−∞��−�2/2d�=0.975 1925 Landau's constant [57] � 0.5<�≤0.54326 [Mw 45][OEIS 50] The best known bounds are 0.5<�≤Γ(13)Γ(56)Γ(16) 1929 Landau's third constant [57] � 0.5<�≤0.7853 1929 Prouhet–Thue–Morse constant [62] � 0.41245 40336 40107 59778 [Mw 46][OEIS 51] ∑�=0∞��2�+1=14[2−∏�=0∞(1−122�)]where �� is the n th term of the Thue–Morse sequence 1929 [OEIS 51] �∖� Golomb–Dickman constant [63] � 0.62432 99885 43550 87099 [Mw 47][OEIS 52] ∫01�Li(�)��=∫0∞�(�)�+2��where Li(t) is the logarithmic integral, and ρ(t) is the Dickman function 1930 & 1964 Constant related to the asymptotic behavior of Lebesgue constants [64] � 0.98943 12738 31146 95174 [Mw 48][OEIS 53] lim�→∞(��−4�2ln(2�+1))=4�2(∑�=1∞2ln�4�2−1−Γ′(12)Γ(12)) 1930 [Mw 48] Feller–Tornier constant [65] �FT 0.66131 70494 69622 33528 [Mw 49][OEIS 54] 12∏� prime(1−2�2)+12=3�2∏� prime(1−1�2−1)+12 1932 Base 10 Champernowne constant [66] �10 0.12345 67891 01112 13141 [Mw 50][OEIS 55] Defined by concatenating representations of successive integers:0.1 2 3 4 5 6 7 8 9 10 11 12 13 14 ... 1933 �∖� Salem constant [67] �10 1.17628 08182 59917 50654 [Mw 51][OEIS 56] Largest real root of �10+�9−�7−�6−�5−�4−�3+�+1=0 1933 [OEIS 56] � Khinchin's constant [68] �0 2.68545 20010 65306 44530 [Mw 52][OEIS 57] ∏�=1∞[1+1�(�+2)]log2(�) 1934 Lévy's constant (1) [69] � 1.18656 91104 15625 45282 [Mw 53][OEIS 58] �212ln2 1935 Lévy's constant (2) [70] �� 3.27582 29187 21811 15978 [Mw 54][OEIS 59] ��2/(12ln2) 1936 Copeland–Erdős constant [71] ��� 0.23571 11317 19232 93137 [Mw 55][OEIS 60] Defined by concatenating representations of successive prime numbers:0.2 3 5 7 11 13 17 19 23 29 31 37 ... 1946 [OEIS 60] �∖� Mills' constant [72] � 1.30637 78838 63080 69046 [Mw 56][OEIS 61] Smallest positive real number A such that ⌊�3�⌋ is prime for all positive integers n 1947 Gompertz constant [73] � 0.59634 73623 23194 07434 [Mw 57][OEIS 62] ∫0∞�−�1+���=∫01��1−ln�=11+11+11+21+21+31+3/⋯ Before 1948 [OEIS 62] de Bruijn–Newman constant Λ 0≤Λ≤0.2 The number Λ such that �(�,�)=∫0∞���2Φ(�)cos(��)�� has real zeros if and only if λ ≥ Λ.where Φ(�)=∑�=1∞(2�2�4�9�−3��2�5�)�−��2�4�. 1950 Van der Pauw constant �ln2 4.53236 01418 27193 80962 [OEIS 63] Before 1958 [OEIS 64] �∖� Magic angle [74] �m 0.95531 66181 245092 78163 [OEIS 65] arctan2=arccos13≈54.7356∘ Before 1959 [75][74] �∖� Artin's constant [76] �Artin 0.37395 58136 19202 28805 [Mw 58][OEIS 66] ∏� prime(1−1�(�−1)) Before 1961 [OEIS 66] Porter's constant [77] � 1.46707 80794 33975 47289 [Mw 59][OEIS 67] 6ln2�2(3ln2+4�−24�2�′(2)−2)−12where γ is the Euler–Mascheroni constant and ζ '(2) is the derivative of the Riemann zeta function evaluated at s = 2 1961 [OEIS 67] Lochs constant [78] � 0.97027 01143 92033 92574 [Mw 60][OEIS 68] 6ln2ln10�2 1964 DeVicci's tesseract constant 1.00743 47568 84279 37609 [OEIS 69] The largest cube that can pass through in an 4D hypercube.Positive root of 4�8−28�6−7�4+16�2+16=0 1966 [OEIS 69] � Lieb's square ice constant [79] 1.53960 07178 39002 03869 [Mw 61][OEIS 70] (43)32=833 1967 � Niven's constant [80] � 1.70521 11401 05367 76428 [Mw 62][OEIS 71] 1+∑�=2∞(1−1�(�)) 1969 Stephens' constant [81] 0.57595 99688 92945 43964 [Mw 63][OEIS 72] ∏� prime(1−��3−1) 1969 [OEIS 72] Regular paperfolding sequence [82][83] � 0.85073 61882 01867 26036 [Mw 64][OEIS 73] ∑�=0∞82�22�+2−1=∑�=0∞122�1−122�+2 1970 [OEIS 73] �∖� Reciprocal Fibonacci constant [84] � 3.35988 56662 43177 55317 [Mw 65][OEIS 74] ∑�=1∞1��=11+11+12+13+15+18+113+⋯where F n is the n th Fibonacci number 1974 [OEIS 74] �∖� Chvátal–Sankoff constant for the binary alphabet �2 0.788071≤�2≤0.826280 lim�→∞E[��,2]�where E[λ n ,2 ] is the expected longest common subsequence of two random length-n binary strings 1975 Feigenbaum constant δ [85] � 4.66920 16091 02990 67185 [Mw 66][OEIS 75] lim�→∞��+1−����+2−��+1where the sequence x n is given by ��+1=���(1−��) 1975 Chaitin's constants [86] Ω In general they are uncomputable numbers. But one such number is 0.00787 49969 97812 3844. [Mw 67][OEIS 76] ∑�∈�2−|�|· p: Halted program· |p|: Size in bits of program p· P: Domain of all programs that stop.See also: Halting problem 1975 �∖� Robbins constant [87] Δ(3) 0.66170 71822 67176 23515 [Mw 68][OEIS 77] 4+172−63−7�105+ln(1+2)5+2ln(2+3)5 1977 [OEIS 77] �∖� Weierstrass constant [88] 0.47494 93799 87920 65033 [Mw 69][OEIS 78] 25/4���/8Γ(14)2 Before 1978 [89] �∖� Fransén–Robinson constant [90] � 2.80777 02420 28519 36522 [Mw 70][OEIS 79] ∫0∞��Γ(�)=�+∫0∞�−��2+ln2��� 1978 Feigenbaum constant α [91] � 2.50290 78750 95892 82228 [Mw 66][OEIS 80] Ratio between the width of a tine and the width of one of its two subtines in a bifurcation diagram 1979 Second du Bois-Reymond constant [92] �2 0.19452 80494 65325 11361 [Mw 71][OEIS 81] �2−72=∫0∞|���(sin��)2|��−1 1983 [OEIS 81] �∖� Erdős–Tenenbaum–Ford constant � 0.08607 13320 55934 20688 [OEIS 82] 1−1+loglog2log2 1984 Conway's constant [93] � 1.30357 72690 34296 39125 [Mw 72][OEIS 83] Real root of the polynomial:�71−�69−2�68−�67+2�66+2�65+�64−�63−�62−�61−�60−�59+2�58+5�57+3�56−2�55−10�54−3�53−2�52+6�51+6�50+�49+9�48−3�47−7�46−8�45−8�44+10�43+6�42+8�41−5�40−12�39+7�38−7�37+7�36+�35−3�34+10�33+�32−6�31−2�30−10�29−3�28+2�27+9�26−3�25+14�24−8�23−7�21+9�20+3�19−4�18−10�17−7�16+12�15+7�14+2�13−12�12−4�11−2�10+5�9+�7−7�6+7�5−4�4+12�3−6�2+3�−6 = 0 1987 � Hafner–Sarnak–McCurley constant [94] � 0.35323 63718 54995 98454 [Mw 73][OEIS 84] ∏� prime(1−(1−∏�≥1(1−1��))2) 1991 [OEIS 84] Backhouse's constant [95] � 1.45607 49485 82689 67139 [Mw 74][OEIS 85] lim�→∞|��+1��|where:�(�)=1�(�)=∑�=1∞�����(�)=1+∑�=1∞����=1+2�+3�2+5�3+⋯where p k is the k th prime number 1995 Viswanath constant [96] 1.13198 82487 943 [Mw 75][OEIS 86] lim�→∞|��|1� where f n = f n −1 ± f n −2 , where the signs + or − are chosen at random with equal probability 1/2 1997 Komornik–Loreti constant [97] � 1.78723 16501 82965 93301 [Mw 76][OEIS 87] Real number � such that 1=∑�=1∞����, or ∏�=0∞(1−1�2�)+�−2�−1=0where t k is the k th term of the Thue–Morse sequence 1998 �∖� Embree–Trefethen constant �⋆ 0.70258 1999 Heath-Brown–Moroz constant [98] � 0.00131 76411 54853 17810 [Mw 77][OEIS 88] ∏� prime(1−1�)7(1+7�+1�2) 1999 [OEIS 88] MRB constant [99][100][101] � 0.18785 96424 62067 12024 [Mw 78][Ow 1][OEIS 89] ∑�=1∞(−1)�(�1/�−1)=−11+22−33+⋯ 1999 Prime constant [102] � 0.41468 25098 51111 66024 [OEIS 90] ∑� prime12�=14+18+132+⋯ 1999 [OEIS 90] �∖� Somos' quadratic recurrence constant [103] � 1.66168 79496 33594 12129 [Mw 79][OEIS 91] ∏�=1∞�1/2�=123⋯=11/221/431/8⋯ 1999 [Mw 79] Foias constant [104] � 1.18745 23511 26501 05459 [Mw 80][OEIS 92] ��+1=(1+1��)� for �=1,2,3,…Foias constant is the unique real number such that if x 1 = α then the sequence diverges to infinity. 2000 Logarithmic capacity of the unit disk [105][106] 0.59017 02995 08048 11302 [Mw 81][OEIS 93] Γ(14)24�3/2 Before 2003 [OEIS 93] �∖� Taniguchi constant [81] 0.67823 44919 17391 97803 [Mw 82][OEIS 94] ∏� prime(1−3�3+2�4+1�5−1�6) Before 2005 [81]
Mizan
Kısa Açıklama: 228 Ölçü, tartı. Evren muhteşem ölçüler içerir. Modern bilim Yüce Allah'ın koyduğu bu ölçüleri evrensel sabitler olarak tanımlamaktadır. Evrenin her yerinde geçerli olan bu sabitlere en iyi örnek Pi sayısıdır. Sonsuza kadar giden bu sayının tamamını ancak Yüce Allah bilir. Evrenin ilk oluşum anındaki entropi değeri o kadar düşük bir değerdir ki ancak bir ilâh bu hesaplamayı yaparak 13.8 milyar yıl sonra muhteşem, hayat dolu evrenimizin oluşmasını sağlayacak entropi artışını ayarlayabilir. Çok sayıda fizik ve matematik sabitlerini incelemek için kavram numarasını tıklayınız.
Detaylı Açıklama: Atomic mass constant Atomik kütle sabiti Avogadro constant Avogadro sabiti Boltzmann constant Boltzmann sabiti Conductance quantum İletkenlik kuantum Electron mass Elektron kütlesi Electron volt Elektron volt Elementary charge Temel yük Faraday constant Faraday sabiti Fine-structure constant İnce yapı sabiti İnverse fine-structure constant Ters ince yapı sabiti Josephson constant Josephson sabiti Magnetic flux quantum Manyetik akı kuantumu Molar gas constant Molar gaz sabiti Newtonian constant of gravitation Newton yerçekimi sabiti Planck constant Planck sabiti Proton mass Proton kütlesi Proton-electron mass ratio Proton-elektron kütle oranı Reduced Planck constant İndirgenmiş Planck sabiti Rydberg constant times c in Hz Hz cinsinden Rydberg sabiti çarpı c Stefan-Boltzmann constant Stefan-Boltzmann sabiti Vacuum electric permittivity Vakum elektrik geçirgenliği Vacuum magnetic permeability Vakum manyetik geçirgenliği Von Klitzing constant Von Klitzing sabiti One 1 1 Prehistory � Two 2 2 Prehistory � One half 1/2 0.5 Prehistory � Pi � 3.14159 26535 89793 23846 [Mw 1][OEIS 1] Ratio of a circle's circumference to its diameter. 1900 to 1600 BCE [2] �∖� Tau � 6.28318 53071 79586 47692 [3][OEIS 2] Ratio of a circle's circumference to its radius. Equivalent to 2� 1900 to 1600 BCE [2] �∖� Square root of 2,Pythagoras constant. [4] 2 1.41421 35623 73095 04880 [Mw 2][OEIS 3] Positive root of �2=2 1800 to 1600 BCE [5] � Square root of 3,Theodorus' constant [6] 3 1.73205 08075 68877 29352 [Mw 3][OEIS 4] Positive root of �2=3 465 to 398 BCE � Square root of 5 [7] 5 2.23606 79774 99789 69640 [OEIS 5] Positive root of �2=5 � Phi, Golden ratio [8] � or � 1.61803 39887 49894 84820 [Mw 4][OEIS 6] 1+52 ~300 BCE � Silver ratio [9] �� 2.41421 35623 73095 04880 [Mw 5][OEIS 7] 2+1 ~300 BCE � Zero 0 0 300 to 100 BCE [10] � Negative one −1 −1 300 to 200 BCE � Cube root of 2 23 1.25992 10498 94873 16476 [Mw 6][OEIS 8] Real root of �3=2 46 to 120 CE [11] � Cube root of 3 33 1.44224 95703 07408 38232 [OEIS 9] Real root of �3=3 � Twelfth root of 2 [12] 212 1.05946 30943 59295 26456 [OEIS 10] Real root of �12=2 � Supergolden ratio [13] � 1.46557 12318 76768 02665 [OEIS 11] 1+29+39323+29−393233Real root of �3=�2+1 � Imaginary unit [14] � 0 + 1i Principal root of �2=−1 [nb 1] 1501 to 1576 � Connective constant for the hexagonal lattice [15][16] � 1.84775 90650 22573 51225 [Mw 7][OEIS 12] 2+2, as a root of the polynomial �4−4�2+2=0 1593 [OEIS 12] � Kepler–Bouwkamp constant [17] �′ 0.11494 20448 53296 20070 [Mw 8][OEIS 13] ∏�=3∞cos(��)=cos(�3)cos(�4)cos(�5)... 1596 [OEIS 13] Wallis's constant 2.09455 14815 42326 59148 [Mw 9][OEIS 14] 45−1929183+45+1929183Real root of �3−2�−5=0 1616 to 1703 � Euler's number [18] � 2.71828 18284 59045 23536 [Mw 10][OEIS 15] lim�→∞(1+1�)�=∑�=0∞1�!=1+11!+12!+13!⋯ 1618 [19] �∖� Natural logarithm of 2 [20] ln2 0.69314 71805 59945 30941 [Mw 11][OEIS 16] Real root of ��=2∑�=1∞(−1)�+1�=11−12+13−14+⋯ 1619 [21] & 1668 [22] �∖� Lemniscate constant [23] � 2.62205 75542 92119 81046 [Mw 12][OEIS 17] ��=42�Γ(54)2=142�Γ(14)2where � is Gauss's constant 1718 to 1798 �∖� Euler's constant � 0.57721 56649 01532 86060 [Mw 13][OEIS 18] lim�→∞(−log�+∑�=1�1�)=∫1∞(−1�+1⌊�⌋)�� 1735 Erdős–Borwein constant [24] � 1.60669 51524 15291 76378 [Mw 14][OEIS 19] ∑�=1∞12�−1=11+13+17+115+⋯ 1749 [25] �∖� Omega constant Ω 0.56714 32904 09783 87299 [Mw 15][OEIS 20] �(1)=1�∫0�log(1+sin����cot�)��where W is the Lambert W function 1758 & 1783 �∖� Apéry's constant [26] �(3) 1.20205 69031 59594 28539 [Mw 16][OEIS 21] ∑�=1∞1�3=113+123+133+143+153+⋯ 1780 [OEIS 21] �∖� Laplace limit [27] 0.66274 34193 49181 58097 [Mw 17][OEIS 22] Real root of ���2+1�2+1+1=1 ~1782 �∖� Soldner constant [28][29] � 1.45136 92348 83381 05028 [Mw 18][OEIS 23] li(�)=∫0���ln�=0; root of the logarithmic integral function. 1792 [OEIS 23] Gauss's constant [30] � 0.83462 68416 74073 18628 [Mw 19][OEIS 24] 1agm(1,2)=Γ(14)222�3=2�∫01��1−�4where agm is the arithmetic–geometric mean 1799 [31] �∖� Second Hermite constant [32] �2 1.15470 05383 79251 52901 [Mw 20][OEIS 25] 23 1822 to 1901 � Liouville's constant [33] � 0.11000 10000 00000 00000 0001 [Mw 21][OEIS 26] ∑�=1∞110�!=1101!+1102!+1103!+1104!+⋯ Before 1844 �∖� First continued fraction constant �1 0.69777 46579 64007 98201 [Mw 22][OEIS 27] 11+12+13+14+15+⋯�1(2)�0(2), where ��(�) is the modified Bessel function 1855 [34] �∖� Ramanujan's constant [35] 262 53741 26407 68743 .99999 99999 99250 073 [Mw 23][OEIS 28] ��163 1859 �∖� Glaisher–Kinkelin constant � 1.28242 71291 00622 63687 [Mw 24][OEIS 29] �112−�′(−1)=�18−12∑�=0∞1�+1∑�=0�(−1)�(��)(�+1)2ln(�+1) 1860 [OEIS 29] Catalan's constant [36][37][38] � 0.91596 55941 77219 01505 [Mw 25][OEIS 30] ∫01∫01����1+�2�2=∑�=0∞(−1)�(2�+1)2=112−132+⋯ 1864 Dottie number [39] 0.73908 51332 15160 64165 [Mw 26][OEIS 31] Real root of cos�=� 1865 [Mw 26] �∖� Meissel–Mertens constant [40] � 0.26149 72128 47642 78375 [Mw 27][OEIS 32] lim�→∞(∑�≤�1�−lnln�)=�+∑�(ln(1−1�)+1�)where γ is the Euler–Mascheroni constant and p is prime 1866 & 1873 Universal parabolic constant [41] � 2.29558 71493 92638 07403 [Mw 28][OEIS 33] ln(1+2)+2=arsinh(1)+2 Before 1891 [42] �∖� Cahen's constant [43] � 0.64341 05462 88338 02618 [Mw 29][OEIS 34] ∑�=1∞(−1)���−1=11−12+16−142+11806±⋯where s k is the kth term of Sylvester's sequence 2, 3, 7, 43, 1807, ... 1891 �∖� Gelfond's constant [44] �� 23.14069 26327 79269 0057 [Mw 30][OEIS 35] (−1)−�=�−2�=∑�=0∞���!=1+�11+�22+�36+⋯ 1900 [45] �∖� Gelfond–Schneider constant [46] 22 2.66514 41426 90225 18865 [Mw 31][OEIS 36] Before 1902 [OEIS 36] �∖� Second Favard constant [47] �2 1.23370 05501 36169 82735 [Mw 32][OEIS 37] �28=∑�=0∞1(2�−1)2=112+132+152+172+⋯ 1902 to 1965 �∖� Golden angle [48] � 2.39996 32297 28653 32223 [Mw 33][OEIS 38] 2��2=�(3−5) or180(3−5)=137.50776… in degrees 1907 �∖� Sierpiński's constant [49] � 2.58498 17595 79253 21706 [Mw 34][OEIS 39] �(2�+ln4�3Γ(14)4)=�(2�+4lnΓ(34)−ln�)=�(2ln2+3ln�+2�−4lnΓ(14)) 1907 Landau–Ramanujan constant [50] � 0.76422 36535 89220 66299 [Mw 35][OEIS 40] 12∏�≡3 mod 4�prime(1−1�2)−12=�4∏�≡1 mod 4�prime(1−1�2)12 1908 [OEIS 40] First Nielsen–Ramanujan constant [51] �1 0.82246 70334 24113 21823 [Mw 36][OEIS 41] �(2)2=�212=∑�=1∞(−1)�+1�2=112−122+132−142+⋯ 1909 �∖� Gieseking constant [52] � 1.01494 16064 09653 62502 [Mw 37][OEIS 42] 334(1−∑�=0∞1(3�+2)2+∑�=1∞1(3�+1)2)=334(1−122+142−152+172−182+1102±⋯). 1912 Bernstein's constant [53] � 0.28016 94990 23869 13303 [Mw 38][OEIS 43] lim�→∞2��2�(�), where E n (f) is the error of the best uniform approximation to a real function f(x) on the interval [−1, 1] by real polynomials of no more than degree n, and f(x) = |x| 1913 Tribonacci constant [54] 1.83928 67552 14161 13255 [Mw 39][OEIS 44] 1+19+3333+19−33333=1+4cosh(13cosh−1(2+38))3Real root of �3−�2−�−1=0 1914 to 1963 � Brun's constant [55] �2 1.90216 05831 04 [Mw 40][OEIS 45] ∑�(1�+1�+2)=(13+15)+(15+17)+(111+113)+⋯where the sum ranges over all primes p such that p + 2 is also a prime 1919 [OEIS 45] Twin primes constant �2 0.66016 18158 46869 57392 [Mw 41][OEIS 46] ∏�prime�≥3(1−1(�−1)2) 1922 Plastic ratio [56] � 1.32471 79572 44746 02596 [Mw 42][OEIS 47] 1+1+1+⋯333=12+69183+12−69183Real root of �3=�+1 1924 [OEIS 47] � Bloch's constant [57] � 0.4332≤�≤0.4719 [Mw 43][OEIS 48] The best known bounds are 34+2×10−4≤�≤3−12⋅Γ(13)Γ(1112)Γ(14) 1925 [OEIS 48] Z score for the 97.5 percentile point [58][59][60][61] �.975 1.95996 39845 40054 23552 [Mw 44][OEIS 49] 2erf−1(0.95) where erf −1 (x) is the inverse error functionReal number � such that 12�∫−∞��−�2/2d�=0.975 1925 Landau's constant [57] � 0.5<�≤0.54326 [Mw 45][OEIS 50] The best known bounds are 0.5<�≤Γ(13)Γ(56)Γ(16) 1929 Landau's third constant [57] � 0.5<�≤0.7853 1929 Prouhet–Thue–Morse constant [62] � 0.41245 40336 40107 59778 [Mw 46][OEIS 51] ∑�=0∞��2�+1=14[2−∏�=0∞(1−122�)]where �� is the n th term of the Thue–Morse sequence 1929 [OEIS 51] �∖� Golomb–Dickman constant [63] � 0.62432 99885 43550 87099 [Mw 47][OEIS 52] ∫01�Li(�)��=∫0∞�(�)�+2��where Li(t) is the logarithmic integral, and ρ(t) is the Dickman function 1930 & 1964 Constant related to the asymptotic behavior of Lebesgue constants [64] � 0.98943 12738 31146 95174 [Mw 48][OEIS 53] lim�→∞(��−4�2ln(2�+1))=4�2(∑�=1∞2ln�4�2−1−Γ′(12)Γ(12)) 1930 [Mw 48] Feller–Tornier constant [65] �FT 0.66131 70494 69622 33528 [Mw 49][OEIS 54] 12∏� prime(1−2�2)+12=3�2∏� prime(1−1�2−1)+12 1932 Base 10 Champernowne constant [66] �10 0.12345 67891 01112 13141 [Mw 50][OEIS 55] Defined by concatenating representations of successive integers:0.1 2 3 4 5 6 7 8 9 10 11 12 13 14 ... 1933 �∖� Salem constant [67] �10 1.17628 08182 59917 50654 [Mw 51][OEIS 56] Largest real root of �10+�9−�7−�6−�5−�4−�3+�+1=0 1933 [OEIS 56] � Khinchin's constant [68] �0 2.68545 20010 65306 44530 [Mw 52][OEIS 57] ∏�=1∞[1+1�(�+2)]log2(�) 1934 Lévy's constant (1) [69] � 1.18656 91104 15625 45282 [Mw 53][OEIS 58] �212ln2 1935 Lévy's constant (2) [70] �� 3.27582 29187 21811 15978 [Mw 54][OEIS 59] ��2/(12ln2) 1936 Copeland–Erdős constant [71] ��� 0.23571 11317 19232 93137 [Mw 55][OEIS 60] Defined by concatenating representations of successive prime numbers:0.2 3 5 7 11 13 17 19 23 29 31 37 ... 1946 [OEIS 60] �∖� Mills' constant [72] � 1.30637 78838 63080 69046 [Mw 56][OEIS 61] Smallest positive real number A such that ⌊�3�⌋ is prime for all positive integers n 1947 Gompertz constant [73] � 0.59634 73623 23194 07434 [Mw 57][OEIS 62] ∫0∞�−�1+���=∫01��1−ln�=11+11+11+21+21+31+3/⋯ Before 1948 [OEIS 62] de Bruijn–Newman constant Λ 0≤Λ≤0.2 The number Λ such that �(�,�)=∫0∞���2Φ(�)cos(��)�� has real zeros if and only if λ ≥ Λ.where Φ(�)=∑�=1∞(2�2�4�9�−3��2�5�)�−��2�4�. 1950 Van der Pauw constant �ln2 4.53236 01418 27193 80962 [OEIS 63] Before 1958 [OEIS 64] �∖� Magic angle [74] �m 0.95531 66181 245092 78163 [OEIS 65] arctan2=arccos13≈54.7356∘ Before 1959 [75][74] �∖� Artin's constant [76] �Artin 0.37395 58136 19202 28805 [Mw 58][OEIS 66] ∏� prime(1−1�(�−1)) Before 1961 [OEIS 66] Porter's constant [77] � 1.46707 80794 33975 47289 [Mw 59][OEIS 67] 6ln2�2(3ln2+4�−24�2�′(2)−2)−12where γ is the Euler–Mascheroni constant and ζ '(2) is the derivative of the Riemann zeta function evaluated at s = 2 1961 [OEIS 67] Lochs constant [78] � 0.97027 01143 92033 92574 [Mw 60][OEIS 68] 6ln2ln10�2 1964 DeVicci's tesseract constant 1.00743 47568 84279 37609 [OEIS 69] The largest cube that can pass through in an 4D hypercube.Positive root of 4�8−28�6−7�4+16�2+16=0 1966 [OEIS 69] � Lieb's square ice constant [79] 1.53960 07178 39002 03869 [Mw 61][OEIS 70] (43)32=833 1967 � Niven's constant [80] � 1.70521 11401 05367 76428 [Mw 62][OEIS 71] 1+∑�=2∞(1−1�(�)) 1969 Stephens' constant [81] 0.57595 99688 92945 43964 [Mw 63][OEIS 72] ∏� prime(1−��3−1) 1969 [OEIS 72] Regular paperfolding sequence [82][83] � 0.85073 61882 01867 26036 [Mw 64][OEIS 73] ∑�=0∞82�22�+2−1=∑�=0∞122�1−122�+2 1970 [OEIS 73] �∖� Reciprocal Fibonacci constant [84] � 3.35988 56662 43177 55317 [Mw 65][OEIS 74] ∑�=1∞1��=11+11+12+13+15+18+113+⋯where F n is the n th Fibonacci number 1974 [OEIS 74] �∖� Chvátal–Sankoff constant for the binary alphabet �2 0.788071≤�2≤0.826280 lim�→∞E[��,2]�where E[λ n ,2 ] is the expected longest common subsequence of two random length-n binary strings 1975 Feigenbaum constant δ [85] � 4.66920 16091 02990 67185 [Mw 66][OEIS 75] lim�→∞��+1−����+2−��+1where the sequence x n is given by ��+1=���(1−��) 1975 Chaitin's constants [86] Ω In general they are uncomputable numbers. But one such number is 0.00787 49969 97812 3844. [Mw 67][OEIS 76] ∑�∈�2−|�|· p: Halted program· |p|: Size in bits of program p· P: Domain of all programs that stop.See also: Halting problem 1975 �∖� Robbins constant [87] Δ(3) 0.66170 71822 67176 23515 [Mw 68][OEIS 77] 4+172−63−7�105+ln(1+2)5+2ln(2+3)5 1977 [OEIS 77] �∖� Weierstrass constant [88] 0.47494 93799 87920 65033 [Mw 69][OEIS 78] 25/4���/8Γ(14)2 Before 1978 [89] �∖� Fransén–Robinson constant [90] � 2.80777 02420 28519 36522 [Mw 70][OEIS 79] ∫0∞��Γ(�)=�+∫0∞�−��2+ln2��� 1978 Feigenbaum constant α [91] � 2.50290 78750 95892 82228 [Mw 66][OEIS 80] Ratio between the width of a tine and the width of one of its two subtines in a bifurcation diagram 1979 Second du Bois-Reymond constant [92] �2 0.19452 80494 65325 11361 [Mw 71][OEIS 81] �2−72=∫0∞|���(sin��)2|��−1 1983 [OEIS 81] �∖� Erdős–Tenenbaum–Ford constant � 0.08607 13320 55934 20688 [OEIS 82] 1−1+loglog2log2 1984 Conway's constant [93] � 1.30357 72690 34296 39125 [Mw 72][OEIS 83] Real root of the polynomial:�71−�69−2�68−�67+2�66+2�65+�64−�63−�62−�61−�60−�59+2�58+5�57+3�56−2�55−10�54−3�53−2�52+6�51+6�50+�49+9�48−3�47−7�46−8�45−8�44+10�43+6�42+8�41−5�40−12�39+7�38−7�37+7�36+�35−3�34+10�33+�32−6�31−2�30−10�29−3�28+2�27+9�26−3�25+14�24−8�23−7�21+9�20+3�19−4�18−10�17−7�16+12�15+7�14+2�13−12�12−4�11−2�10+5�9+�7−7�6+7�5−4�4+12�3−6�2+3�−6 = 0 1987 � Hafner–Sarnak–McCurley constant [94] � 0.35323 63718 54995 98454 [Mw 73][OEIS 84] ∏� prime(1−(1−∏�≥1(1−1��))2) 1991 [OEIS 84] Backhouse's constant [95] � 1.45607 49485 82689 67139 [Mw 74][OEIS 85] lim�→∞|��+1��|where:�(�)=1�(�)=∑�=1∞�����(�)=1+∑�=1∞����=1+2�+3�2+5�3+⋯where p k is the k th prime number 1995 Viswanath constant [96] 1.13198 82487 943 [Mw 75][OEIS 86] lim�→∞|��|1� where f n = f n −1 ± f n −2 , where the signs + or − are chosen at random with equal probability 1/2 1997 Komornik–Loreti constant [97] � 1.78723 16501 82965 93301 [Mw 76][OEIS 87] Real number � such that 1=∑�=1∞����, or ∏�=0∞(1−1�2�)+�−2�−1=0where t k is the k th term of the Thue–Morse sequence 1998 �∖� Embree–Trefethen constant �⋆ 0.70258 1999 Heath-Brown–Moroz constant [98] � 0.00131 76411 54853 17810 [Mw 77][OEIS 88] ∏� prime(1−1�)7(1+7�+1�2) 1999 [OEIS 88] MRB constant [99][100][101] � 0.18785 96424 62067 12024 [Mw 78][Ow 1][OEIS 89] ∑�=1∞(−1)�(�1/�−1)=−11+22−33+⋯ 1999 Prime constant [102] � 0.41468 25098 51111 66024 [OEIS 90] ∑� prime12�=14+18+132+⋯ 1999 [OEIS 90] �∖� Somos' quadratic recurrence constant [103] � 1.66168 79496 33594 12129 [Mw 79][OEIS 91] ∏�=1∞�1/2�=123⋯=11/221/431/8⋯ 1999 [Mw 79] Foias constant [104] � 1.18745 23511 26501 05459 [Mw 80][OEIS 92] ��+1=(1+1��)� for �=1,2,3,…Foias constant is the unique real number such that if x 1 = α then the sequence diverges to infinity. 2000 Logarithmic capacity of the unit disk [105][106] 0.59017 02995 08048 11302 [Mw 81][OEIS 93] Γ(14)24�3/2 Before 2003 [OEIS 93] �∖� Taniguchi constant [81] 0.67823 44919 17391 97803 [Mw 82][OEIS 94] ∏� prime(1−3�3+2�4+1�5−1�6) Before 2005 [81]
Kavram 231:
Kısa Açıklama: 231 Evrenimiz büyük patlamayla 'Big Bang' 13.8 milyar yıl önce oluştu. Tekillikten yani noktadan ilk olarak çizgi oldu, daha sonra kare olarak bir alan sahibi oldu, daha sonra 3. boyut eklendi ve evren bir hacme sahip oldu. Bir binanın temelden yükselmesi gibi boyutlar kazandı. 4. boyut olan zaman 'time' da eklendi. Evrenimiz 10 uzay boyutu ve 1 zaman boyutuna olacak şekilde 11 boyuta sahiptir. Göremediğimiz 7 boyut Planck mesafesinde iç içe katlanmıştır. Bu da evrenimizle aynı mekanda paralel evrenlerin de yaratıldığını gösterir.
Evrenin yükseltilmesi
Kısa Açıklama: 231 Evrenimiz büyük patlamayla 'Big Bang' 13.8 milyar yıl önce oluştu. Tekillikten yani noktadan ilk olarak çizgi oldu, daha sonra kare olarak bir alan sahibi oldu, daha sonra 3. boyut eklendi ve evren bir hacme sahip oldu. Bir binanın temelden yükselmesi gibi boyutlar kazandı. 4. boyut olan zaman 'time' da eklendi. Evrenimiz 10 uzay boyutu ve 1 zaman boyutuna olacak şekilde 11 boyuta sahiptir. Göremediğimiz 7 boyut Planck mesafesinde iç içe katlanmıştır. Bu da evrenimizle aynı mekanda paralel evrenlerin de yaratıldığını gösterir.