Symbol Legend
t_p = 5.39125836832313 ... × 10−44 s
Planck time
l_p = 1.61625918175645 ... × 10−35 m
Planck length
q_p = 1.87554596713962 ... × 10−18 C
Planck charge
T_p = 1.41678698590795 ... × 1032 K
Planck temperature
m_p = 2.17642683817579 ... × 10–8 kg
Planck mass
box = 0.999999199973626 ... × 10–7
hyperbolic inversion boundary
5
number of dimensions
7
break in scale symmetry
zhe_1 = 0.0854245431533304 ...
1st hyperbolic partition constant
zhe_2 = 3.66756753485501 ...
2nd hyperbolic partition constant
zhe_3 = − 1.87649603900417 ... + 4.06615262615972 ... i
3rd hyperbolic partition constant
zhe_4 = − 1.87649603900417 ... − 4.06615262615972 ... i
4th hyperbolic partition constant
zhe_r = 4.47826244916751 ...
hyperbolic radius constant
zhe_theta = 2.00316562310924 ...
hyperbolic radian constant
G_Gi = 1.01494160640965 ...
Gieseking's constant
V_fe = 2.02988321281930 ...
figure eight knot hyperbolic volume
K = 0.9159655941772190 ...
Catalan's constant
C_d = 0.291560904030818 ...
domino tiling constant
D_d = 1.79162281206959 ...
dimer constant
omega_1 = 0.764977018528596 ... + 1.32497062714087 ... i
omega_1 constant
omega_2 = 1.529954037057192 ...
omega_2 constant
power tower of i= 0.438282936727032 ... + 0.360592471871385 ... i
power tower of i
i=(-1)^1/2
imaginary unit
phi_i=(-1)^1/3
imaginary golden ratio
golden ratio = 1.61803398874989 ...
golden ratio
pi = 3.14159265358979 ...
Archimedes' constant
P_up = 2.29558714939263 ...
universal parabolic constant
s = 5.24411510858423 ...
arc length of the unit lemniscate
L = 2.622057554292119 ...
lemniscate constant
L_1 = 1.31102877714605 ...
1st lemniscate constant
L_2 = 0.599070117367796 ...
2nd lemniscate constant
C_U = 0.847213084793979 ...
ubiquitous constant
G_Ga = 0.834626841674073 ...
Gauss's constant
W_We = 0.47494937998792 ...
Weierstrass constant
C_R1 = 0.998136044598509 ...
Ramanujan's 1st continued fraction constant
L_Li = 0.110001000000000 ...
Liouville's constant
M = − 1.74756459463318 ...
Madelung constant
P* = 0.41468250985111 ...
prime constant
e = 2.71828182845904 ...
Euler's number
x_infinity = 2.29316628741186 ...
1st Foias constant
y = 0.577215664901532 ...
Euler-Mascheroni constant
S = 0.822825249678847 ...
Sierpiński's constant
D_Do = 0.739085133215160 ...
Dottie number
L_LL = 0.662743419349181 ...
Laplace limit
C_CFP = 1.19967864025773 ...
real fixed point of the hyperbolic cotangent
j_0,1 = 2.404825557695772 ...
1st root of the Bessel function
alpha_F = 2.50290787509589 ...
alpha Feigenbaum constant
del_F = 4.66920160910299 ...
delta Feigenbaum constant
S = 3.24697960371714 ...
silver constant
P = 1.32471795724474 ...
plastic constant
C_Q = 0.605443657196732 ...
QRS constant
K_-6 = 1.15655237442151 ...
Khinchin mean of order -6
T_0 = 2.73150000000000 ... × 102 kelvin
freezing point of water
p_0 = 1.00000000000000 ... × 105 pascal
1 bar
p_1 = 1.01325000000000 ... × 105 pascal
standard atmospheric pressure
E_1 = 6.09110229711386 ... × 10-24 joules
energy associated with hyperfine transition frequency of Cs-133
f_1 = 5.40000000000000 ... × 1014 Hz
frequency of max light conversion
lambda_peak = 4.96511423174427 ...
peak lambda_peak of spectral radiance/unit wavelength
nu_peak = 2.82143937212207 ...
peak emission of spectral flux/unit frequency
n!
factorial function
!n
derangement function
log(x)
natural logarithm
gamma(x)
gamma function
zeta(x)
Riemann zeta function