Appendice:Lista de constantes mathematic
Lista de constantes mathematic |
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instantia de: lista de un projecto de Wikimedia[*] |
lista de:constante mathematic |
Constante mathematic e function modificar
Structura del tabulas modificar
- Valor numeric del constante, generalmente con 35 decimales.
- Nomine: Con lo que habitualmente illo es cognoscite.
- Symbolo: de identification, in multe casos es un littera grec.
- LaTeX: Formula in le formato LaTeX.
- Formula in texto: Formula in formato texto, por poter copiar e pegar in programmas como Mathematica.
- OEIS: Ligamine al fundation: On-Line Encyclopedia of Integer Sequences (OEIS), ubi on pote consultar le constantes con plus detalios.
- Fraction continue: In le formato simple [Parte integre; frac1, frac2, frac3, ...] (In nigre si es periodic)
- Tipo:
- R - Numero rational
- I - Numero irrational
- T - Numero transcendental
- ? - descognoscite
Le ultime constantes subidas, se encuentran al principio del tablula. Puede selectionar le ordinate de la lista, pulsando en el nomine, valor, OEIS, etc.
Valor | Nomine | Symbolo | LaTeX | Formula in texto | Tipo | OEIS | Fraction continue |
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3,24697960371746706105000976800847962 | Constante Silver de Tutte–Beraha | 2+2 cos(2Pi/7) | T | A116425 | [3;4,20,2,3,1,6,10,5,2,2,1,2,2,1,18,1,1,3,2,...] | ||
1,09864196439415648573466891734359621 | Constante París | I | A105415 | [1;10,7,3,1,3,1,5,1,4,2,7,1,2,3,22,1,2,5,2,1,...] | |||
2,74723827493230433305746518613420282 | Ramanujan nested radical R5 | (2+sqrt(5)+sqrt(15-6 sqrt(5)))/2 | I | [2;1,2,1,21,1,7,2,1,1,2,1,2,1,17,4,4,1,1,4,2,...] | |||
2,23606797749978969640917366873127624 | Raíz de 5, Suma de Gauss | Sum[k=0 to 4]{e^(2k^2 pi i/5)} | I | A002163 | [2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...] = [2;(4),...] | ||
3,62560990822190831193068515586767200 | Gamma(1/4) | 4(1/4)! | T | A068466 | [3;1,1,1,2,25,4,9,1,1,8,4,1,6,1,1,19,1,1,4,1,...] | ||
0,18785964246206712024851793405427323 | Constante MRB de Marvin Ray Burns | Sum[n=1 to ∞]{(-1)^n (n^(1/n)-1)} | T | A037077 | [0;5,3,10,1,1,4,1,1,1,1,9,1,1,12,2,17,2,2,1,...] | ||
0,11494204485329620070104015746959874 | Constante de Kepler–Bouwkamp | prod[n=3 to ∞]{cos(pi/n)} | T | A085365 | [0;8,1,2,2,1,272,2,1,41,6,1,3,1,1,26,4,1,1,...] | ||
1,78107241799019798523650410310717954 | Exp(gamma) función G-Barnes |
|
Prod[n=1 to ∞]{e^(1/n)}/{1 + 1/n} | T | A073004 | [1;1,3,1,1,3,5,4,1,1,2,2,1,7,9,1,16,1,1,1,2,...] | |
1,28242712910062263687534256886979172 | Constante de Glaisher–Kinkelin | e^(1/2-zeta´{-1}) | T | A074962 | [1;3,1,1,5,1,1,1,3,12,4,1,271,1,1,2,7,1,35,...] | ||
7,38905609893065022723042746057500781 | Constante conica de Schwarzschild | Sum[n=0 to ∞]{2^n/n!} | T | A072334 | [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. | ||
1,01494160640965362502120255427452028 | Constante Gieseking | . |
T | A143298 | [1;66,1,12,1,2,1,4,2,1,3,3,1,4,1,56,2,2,11,...] | ||
2,62205755429211981046483958989111941 | Constante Lemniscata | 4 sqrt(2/pi) (1/4!)^2 | T | A062539 | [2;1,1,1,1,1,4,1,2,5,1,1,1,14,9,2,6,2,9,4,1,...] | ||
0,83462684167407318628142973279904680 | Constante de Gauss | (4 sqrt(2)(1/4!)^2)/pi^(3/2) | T | A014549 | [0;1,5,21,3,4,14,1,1,1,1,1,3,1,15,1,3,7,1,...] | ||
0,0078749969978123844 | Constante de Chaitin | ? | A100264 | [0; 126, 1, 62, 5, 5, 3, 3, 21, 1, 4, 1] | |||
1,01734306198444913971451792979092052 | Constante Zeta(6) | Prod[n=1 to ∞] {1/(1-ithprime(n)^-6)} | T | A013664 | [1;57,1,1,1,15,1,6,3,61,1,5,3,1,6,1,3,3,6,1,...] | ||
0,60792710185402662866327677925836583 | Constante de Hafner-Sarnak-McCurley | Prod{n=1 to ∞} (1-1/ithprime(n)^2) | T | A059956 | [0;1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,...] | ||
1,11072073453959156175397024751517342 | Razón entre un cuadrado y las círcunferencias ins.o circunscrita | sum[n=1 to ∞]{(-1)^(floor((n-1)/2))/(2n-1)} | T | A093954 | [1;9,31,1,1,17,2,3,3,2,3,1,1,2,2,1,4,9,1,3,...] | ||
2,80777024202851936522150118655777293 | Constante Fransen–Robinson | N[int[0 to ∞] {1/Gamma(x)}] | T | A058655 | [2;1,4,4,1,18,5,1,3,4,1,5,3,6,1,1,1,5,1,1,1...] | ||
1,64872127070012814684865078781416357 | Raiz cuadrada del numero e | sum[n=0 to ∞]{1/(2^n n!)} | T | A019774 | [1;1,1,1,5,1,1,9,1,1,13,1,1,17,1,1,21,1,1,...] = [1;1,(1,1,4p+1)], p∈ℕ | ||
i | Numero imaginario | sqrt(-1) | C | ||||
262537412640768743,999999999999250073 | Constante de Hermite-Ramanujan | e^(π sqrt(163)) | T | A060295 | [262537412640768743;1,1333462407511,1,8,1,1,5,...] | ||
4,81047738096535165547303566670383313 | Constante de John | e^(π/2) | T | A042972 | [4;1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,3,...] | ||
4,53236014182719380962768294571666681 | Constante de Van der Pauw | π/ln(2) | T | A163973 | [4;1,1,7,4,2,3,3,1,4,1,1,4,7,2,3,3,12,2,1,...] | ||
0,76159415595576488811945828260479359 | Tangente hiperbólica de 1 | (e-1/e)/(e+1/e) | T | A073744 | [0;1,3,5,7,9,11,13,15,17,19,21,23,25,27,...] = [0;(2p+1)], p∈ℕ | ||
0,69777465796400798200679059255175260 | Constante de fraccion continua | (sum {n=0 to inf} n/(n!n!)) /(sum {n=0 to inf} 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 | |||
0,36787944117144232159552377016146086 | Inverso del Numero neperian | 1/e | sum[n=2 to ∞]{(-1)^n/n!} | T | A068985 | [0;2,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [0;2,1,(1,2p,1)], p∈ℕ | |
2,71828182845904523536028747135266250 | Numero neperian, constante de Euler | e | Sum[n=0 to ∞]{1/n!} | T | A001113 | [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 | |
0,49801566811835604271369111746219809 - 0,15494982830181068512495513048388 i |
Factorial de i | i ! | Gamma(1+i) | A212877 A212878 |
[0;6,2,4,1,8,1,46,2,2,3,5,1,10,7,5,1,7,2,...] - [0;2,125,2,18,1,2,1,1,19,1,1,1,2,3,34,...] i | ||
0,43828293672703211162697516355126482 + 0,36059247187138548595294052690600 i |
Tetración infinite de i | i^i^i^... | A077589 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 | |||
0,56755516330695782538461314419245334 | Modulo de la Tetración infinite de i |
Mod(i^i^i^...) | A212479 | [0;1,1,3,4,1,58,12,1,51,1,4,12,1,1,2,2,3,...] | |||
0,26149721284764278375542683860869585 | Constante de Meissel-Mertens | M | ..... p: primos | A077761 | [0;3,1,4,1,2,5,2,1,1,1,1,13,4,2,4,2,1,33,...] | ||
1,9287800... | Constante de Wright | ω | = primos: =3, =13, =16381, | A086238 | [1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3] | ||
0,37395581361920228805472805434641641 | Constante de Artin | CArtin | ...... pn: primo | T | A005596 | [0;2,1,2,14,1,1,2,3,5,1,3,1,5,1,1,2,3,5,46,...] | |
4,66920160910299067185320382046620161 | Constante δ de Feigenbaum | δ | ......
...o... |
T | A006890 | [4;1,2,43,2,163,2,3,1,1,2,5,1,2,3,80,2,5,...] | |
2,50290787509589282228390287321821578 | Constante α de Feigenbaum | α | T | A006891 | [2;1,1,85,2,8,1,10,16,3,8,9,2,1,40,1,2,3,...] | ||
5,97798681217834912266905331933922774 | Constante hexagonal Madelung 2 | H2(2) | Pi Log[3]Sqrt[3] | T | A086055 | [5;1,44,2,2,1,15,1,1,12,1,65,11,1,3,1,1,...] | |
0,83462684167407318628142973279904680 | Constante de Gauss | GGa | Γ[1/4]]^2/(2*Pi^{3/2}*Sqrt(2) | T | A014549 | [0;1,5,21,3,4,14,1,1,1,1,1,3,1,15,1,3,7,1,...] | |
0,96894614625936938048363484584691860 | Constante Beta(3) | β(3) | Sum[n=1 to ∞]{(-1)^(n+1)/(-1+2n)^3} | T | A153071 | [0;1,31,4,1,18,21,1,1,2,1,2,1,3,6,3,28,1,...] | |
1,902160583104 | Constante de Brun 2 = Σ inv. numeros primos gemelos | B 2 |
p, p+2 primos |
A065421 | [1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2] | ||
0,870588379975 | Constante de Brun 4 = Σ inv. numeros primos gemelos | B 4 |
p, p+2, p+4, p+6 primos |
A213007 | [0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1] | ||
22,4591577183610454734271522045437350 | pi^e | πe | pi^e | A059850 | [22;2,5,1,1,1,1,1,3,2,1,1,3,9,15,25,1,1,5,...] | ||
3,14159265358979323846264338327950288 | Numero π, constante de Arquimedes | π | Sum[n=0 to ∞]{(-1)^n 4/(2n+1)} | T | A000796 | [3;7,15,1,292,1,1,1,2,1,3,1,14,...] | |
0,06598803584531253707679018759684642 | e-e | ... Limite inferior de Tetración | T | A073230 | [0;15,6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,...] | ||
0,20787957635076190854695561983497877 | i^i | ii | e^(-pi/2) | T | A049006 | [0;4,1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,...] | |
0,28016949902386913303643649123067200 | Constante de Bernstein | β | T | A073001 | [0;3,1,1,3,9,6,3,1,3,13,1,16,3,3,4,…] | ||
0,28878809508660242127889972192923078 | Flajolet and Richmond | Q | prod[n=1 to ∞]{1-1/2^n} | A048651 | |||
0,31830988618379067153776752674502872 | Inverso de Pi, Ramanujan | 1/π | T | A049541 | [0;3,7,15,292,1,1,1,2,1,3,1,14,2,1,1,...] | ||
0,47494937998792065033250463632798297 | Constante de Weierstrass | WWE | (E^(Pi/8) Sqrt[Pi])/(4 2^(3/4) (1/4)!^2) | T | A094692 | [0;2,9,2,11,1,6,1,4,6,3,19,9,217,1,2,...] | |
0,56714329040978387299996866221035555 | Constante Omega | Ω=W(1) | sum[n=1 to ∞]{(-n)^(n-1)/n!} | T | A030178 | [0;1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,...] | |
0,57721566490153286060651209008240243 | Constante de Euler-Mascheroni | γ | sum[n=1 to ∞]|sum[k=0 to ∞]{((-1)^k)/(2^n+k)} | ? | A001620 | [0;1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,...] | |
0,60459978807807261686469275254738524 | Serie de Dirichlet | π/(3√3) | Sum[1/(n Binomial[2 n, n]), {n, 1, ∞}] | T | A073010 | [0;1,1,1,1,8,10,2,2,3,3,1,9,2,5,4,1,27,27,...] | |
0,63661977236758134307553505349005745 | 2/Pi por, François Viète | 2/π | T | A060294 | [0;1,1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,...] | ||
0,66016181584686957392781211001455577 | Constante de los primos gemelos | C2 | prod[p=3 to ∞]{p(p-2)/(p-1)^2 | A005597 | [0;1,1,1,16,2,2,2,2,1,18,2,2,11,1,1,2,4,1,...] | ||
0,66274341934918158097474209710925290 | Constante límite de Laplace | λ | A033259 | [0;1,1,1,27,1,1,1,8,2,154,2,4,1,5,...] | |||
0,69314718055994530941723212145817657 | Logaritmo natural de 2 | Ln(2) | Sum[n=1 to ∞]{(-1)^(n+1)/n} | T | A002162 | [0;1,2,3,1,6,3,1,1,2,1,1,1,1,3,10,...] | |
0,78343051071213440705926438652697546 | Sophomore's Dream 1 J.Bernoulli | I1 | Sum[ -(-1)^n /n^n] | T | A083648 | [0;1,3,1,1,1,1,1,1,2,4,7,2,1,2,1,1,1,...] | |
0,78539816339744830961566084581987572 | Dirichlet beta β(1) | π/4 | Sum[n=0 to ∞]{(-1)^n/(2n+1)} | T | A003881 | [0; 1,3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,...] | |
0,82246703342411321823620758332301259 | Traveling Salesman, Nielsen-Ramanujan | ζ(2)/2 | Sum[n=1 to ∞]{((-1)^(k+1))/n^2} | T | A072691 | [0;1,4,1,1,1,2,1,1,1,1,3,2,2,4,1,1,1,...] | |
0,91596559417721901505460351493238411 | Constante de Catalan | C | Sum[n=0 to ∞]{(-1)^n/(2n+1)^2} | I | A006752 | [0;1,10,1,8,1,88,4,1,1,7,22,1,2,...] | |
1,05946309435929526456182529494634170 | Constante entre semitonos de la escala musical | 12√2 | 2^(1/12) | I | A010774 | [1;16,1,4,2,7,1,1,2,2,7,4,1,2,1,60,1,3,1,2,...] | |
1,08232323371113819151600369654116790 | Constante Zeta(04) | ζ(4) | Sum[n=1 to ∞]{1/n^4} | T | A013662 | [1;12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,...] | |
1,1319882487943 ... | Constante de Viswanath | CVi | A078416 | [1;7,1,1,2,1,3,2,1,2,1,8,1,5,1,1,1,9,1,...] | |||
1,20205690315959428539973816151144999 | Constante de Apery | ζ(3) | Sum[n=1 to ∞]{1/n^3} | I | A010774 | [1;4,1,18,1,1,1,4,1,9,9,2,1,1,1,2,...] | |
1,22541670246517764512909830336289053 | Gamma(3/4) | Γ(¾) | (-1+3/4)! | T | A068465 | [1;4,2,3,2,2,1,1,1,2,1,4,7,1,171,3,2,3,1,1,...] | |
1,23370055013616982735431137498451889 | Constante de Favard | ¾ ζ(2) | sum[n=1 to ∞]{1/((2n-1)^2)} | T | A111003 | [1;4,3,1,1,2,2,5,1,1,1,1,2,1,2,1,10,4,3,1,1,...] | |
1,25992104989487316476721060727822835 | Radice cubica de dos, constante Delian | 3√2 | 2^(1/3) | I | A002580 | [1;3,1,5,1,1,4,1,1,8,1,14,1,10,...] | |
1,29128599706266354040728259059560054 | Sophomore's Dream 2 J.Bernoulli | I2 | Sum[1/(n^n]), {n, 1, ∞}] | A073009 | [1;3,2,3,4,3,1,2,1,1,6,7,2,5,3,1,2,1,8,1,...] | ||
1,32471795724474602596090885447809734 | Numero plástico | ρ | I | A060006 | [1;3,12,1,1,3,2,3,2,4,2,141,80,2,5,1,2,8,...] | ||
1,41421356237309504880168872420969808 | Radice cuadrada de 2, constante de Pitagoras | √2 | prod[n=1 to ∞]{1+(-1)^(n+1)/(2n-1)} | I | A002193 | [1;(2),...] | |
1,44466786100976613365833910859643022 | Numero de Steiner | e1/e | ... Límite superior de Tetración | A073229 | [1;2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...] | ||
1,53960071783900203869106341467188655 | Constante Square Ice de Lieb | W2D | (4/3)^(3/2) | I | A118273 | [1;1,1,5,1,4,2,1,6,1,6,1,2,4,1,5,1,1,2,...] | |
1,57079632679489661923132169163975144 | Producto de Wallis | π/2 | T | A019669 | [1;1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1...] | ||
1,60669515241529176378330152319092458 | Constante de Erdős–Borwein | EB | sum[n=1 to ∞]{1/(2^n-1)} | I | A065442 | [1;1,1,1,1,5,2,1,2,29,4,1,2,2,2,2,6,1,7,1,...] | |
1,61803398874989484820458633436563812 | Fi, Número áureo | Φ | (1+5^(1/2))/2 | I | A001622 | [0;(1),...] | |
1,64493406684822643647241516664602519 | Función Zeta (2) de Riemann | ζ(2) | Sum[n=1 to ∞]{1/n^2} | T | A013661 | [1;1,1,1,4,2,4,7,1,4,2,3,4,10 1,2,1,1,1,15,...] | |
1,66168794963359412129581892274995074 | Recurrencia cuadrática de Somos | σ | T | A065481 | [1;1,1,1,21,1,1,1,6,4,2,1,1,2,1,3,1,13,13,...] | ||
1,73205080756887729352744634150587237 | Constante de Theodorus | √3 | 3^(1/2) | I | A002194 | [1;(1,2),...] | |
1,75793275661800453270881963821813852 | Numero de Kasner | K | A072449 | [1;1,3,7,1,1,1,2,3,1,4,1,1,2,1,2,20,1,2,2,...] | |||
1,77245385090551602729816748334114518 | Constante de Carlson-Levin | Γ(1/2) | sqrt (pi) | T | A002161 | [1;1,3,2,1,1,6,1,28,13,1,1,2,18,1,1,1,83,1,...] | |
2,23606797749978969640917366873127624 | Radice quadrate de 5 | √5 | 5^(1/2) | I | A002163 | [2;(4),...] | |
2,29558714939263807403429804918949038 | Constante universal parabolic | P2 | ln(1+sqrt 2)+sqrt 2 | T | A103710 | [2;3,2,1,1,1,1,3,3,1,1,4,2,3,2,7,1,6,1,8,...] | |
2,30277563773199464655961063373524797 | Numero de bronce | σBr | (3+sqrt 13)/2 | I | A098316 | [3;(3),...] | |
2,37313822083125090564344595189447424 | Constante de Levy 2 | 2lnγ | Pi^(2)/(6*ln(2)) | T | A174606 | [2;2,1,2,8,57,9,32,1,1,2,1,2,1,2,1,2,1,3,2,...] | |
2,50662827463100050241576528481104525 | Radice quadrate de 2 pi | (2π)1/2 | sqrt (2*pi) | T | A019727 | [2;1,1,37,4,1,1,1,1,9,1,1,2,8,6,1,2,2,1,3,...] | |
2,66514414269022518865029724987313985 | Constante de Gelfond-Schneider | GGS | 2^sqrt{2} | T | A007507 | [2;1,1,1,72,3,4,1,3,2,1,1,1,14,1,2,1,1,3,1,...] | |
2,68545200106530644530971483548179569 | Constante de Khintchin | K0 | prod[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,...] | |
3,27582291872181115978768188245384386 | Constante de Khinchin-Lévy | γ | e^(\pi^2/(12 ln(2)) | A086702 | [3;3,1,1,1,2,29,1,130,1,12,3,8,2,4,1,3,55,...] | ||
3,35988566624317755317201130291892717 | Constante de los inversos de Fibonacci | ψ | A079586 | [3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...] | |||
4,13273135412249293846939188429985264 | Raíz de 2 e pi | √(2eπ) | sqrt(2e pi) | T | A019633 | [4;7,1,1,6,1,5,1,1,1,8,3,1,2,2,15,2,1,1,2,4,...] | |
6,58088599101792097085154240388648649 | Constante de Froda | 2e | 2^e | [6;1,1,2,1,1,2,3,1,14,11,4,3,1,1,7,5,5,2,7,...] | |||
9,86960440108935861883449099987615114 | Pi al Cuadrado | π2 | 6 Sum[n=1 to ∞]{1/n^2} | T | A002388 | [9;1,6,1,2,47,1,8,1,1,2,2,1,1,8,3,1,10,5,...] | |
23,1406926327792690057290863679485474 | Constante de Gelfond | eπ | Sum[n=0 to ∞]{(pi^n)/n!} | T | A039661 | [23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...] |