On grammatical class:
- ci'i
- digit/number: infinity; followed by digits => aleph cardinality.
- ka'o
- digit/number: imaginary i; square root of -1.
- no'o
- digit/number: typical/average value.
- pai
- digit/number: pi (approximately 3.1416...); the constant defined by the ratio of the circumference to the diameter of all circles.
- te'o
- digit/number: exponential e (approx 2.71828...).
- tu'o
- null operand (used in unary mekso operations).
- fai'e'au
- digit/number: first Feigenbaum constant δ = 4.669 201 609 102 990 671 853 203 821 578(...).
- fai'u
- digit/number: phi, the "golden ratio" (approx. = 1.6180...); the ratio a/b such that it equals (a+b)/a
- fai'u'a
- digit/number: the fine-structure constant \alpha \approx 7.2973525698(\dots)×10(-3) \approx 1/137.035999074.
- fu'a'ai
- digit/number: first Foias' constant; the unique value of x1 such that xn
-> ∞ as n -> ∞ for xn+1 = (1 + (1/( xn )))^n; such x1 = 1.187…
- fu'a'au
- digit/number: second Foias constant; the value x for which (1/x)(1 + (1/x))x=1 is true; ≈ 2.293…
- ga'au
- digit/number: Euler–Mascheroni constant, usually denoted by lowercase gamma (γ); approximately 0.5772156649 (in decimal).
- gau'i'o
- digit/number: Gauss' arithmetic-geometric mean of 1 and √(2)=sqrt(2) constant G ≈ .8346268…
- go'o'i'a
- digit/number: Goloumb-Dickman constant ≈ .6243…
- ka'ei'a
- digit/number: Conway's look-and-say constant λ ≈ 1.303577269…
- kai'o
- quaternion i
- ka'o'ai
- imaginary i (non-comma)
- ka'o'ei
- imaginary i, comma - spherical coordinates: first coordinate gives magnitude (complex modulus/radius) of the number, the second number gives the angle from the positive real axis measured counterclockwise toward the 'positive' imaginary axis (default: in the primary branch/Arg) as measured in some units (which that number should contain; the contextless default will suppose radians); the angle is not normalized.
- kau'o
- generic algebra unit en
- kei'o
- quaternion j
- koi'o
- quaternion k
- mai'e'e
- digit/number: Meissel-Mertens constant M ≈ 0.2614972128476427837554268386086958590516…
- mu'i'ai
- digit/number: Hafner-Sarnak-McCurley coprime determinants limiting probability constant; h ≈ 0.3532363719…
- na'a'u
- not a number
- ni'e'ei
- digit/number: Niven's greatest-exponent prime factorization constant
lim(n->∞) (avg
- ni'e'oi
- digit/number: Niven's smallest-exponent prime factorization constant c = zeta(3/2)/zeta(3) ≈ 2.1732543125195541382370898404…
- pa'au'o
- digit/number: universal parabolic constant P = √(2) + Loge(1 + √(2)) ≈ 2.295587
- pei'i'a
- digit/number: Apéry's constant ζ(3) = 1.202056903159594285399738161511449990764986292…
- pi'au
- digit/number: pi (approximately 3.1416...); the constant defined by the ratio of the circumference to the diameter of all circles.
- pu'e'u'o
- digit/number: the Prouhet-Thue-Morse constant τ = 0.412454033640… (in decimal)
- se'i'i
- digit/number: Sierpiński constant K = π(2 Loge(2) + 3Log
- sei'u'e
- digit/number: ideal first Skewe's constant Sk1 ; the first (minimal positive) infimum for which all greater x in some neighborhood have the property that it is false that the prime counting function at x is less than the logarithmic integral function at x
- tau'u
- digit/number: tau (approximately 6.2831...). The constant defined by the ratio of the circumference to the radius of all circles.
- va'ei'a
- digit/number: Dom Hans van der Laan's plastic number ρ = 1.324717957244746025960908854…
- vau'au'o
- omega constant, Lambert product-log W(1)
- vi'ei'e
- digit/number: Lévy-Khinchin constant γ = e^(π^2)/(12Loge(2)) ≈ 3.2758…
- vo'ei'a
- digit/number: Lambert W(1) constant Ω ≈ 0.5671432904097838729999686622…
- xi'i'ei
- digit/number: Khinchin's constant K0 = 2.6854520010…