Cantor's ordinal ζ 0 (pronounced "zeta-zero", "zeta-null" or "zeta-nought") is a small countable ordinal, defined as the first fixed point of the function α ↦ ε α. [1].

Functional equation for ζ ζ will be quite useful when calculating those values. Of course, this equation is a part of proof that ζ ζ can be continuated to C ∖ {1} C ∖ {1}. Concerning ζ(n)(0) ζ (n) (0) this thread could be of interest (at least numerically...). By …

Zeta Nought/Large Cantor Ordinal（ζ_0）：表示α→εα的最小不动点，据说是康托尔当年想出的最大序数，因此得名 Eta Nought（η_0）：表示α→ζα的最小不动点

The upper integration limit is arbitrary as long as it is greater than the zeta zero to be computed. For the second zeta zero 21.022... the integration limit would have to be 24 or more. This formula works for the first 126 zeta zeros and a few more later on.

For each ordinal less than or equal to ζ0 ζ 0, you want a single fundamental sequence, so you need to be sure that two different expressions for the same ordinal don't generate two different fundamental sequences. Towards that end, it is helpful to …

It is also called Cantor's ordinal. The fixed point of the equation ξ = ζ ξ, and is pronounced "eta-nought". I will add at least one entry to this list a day, such that it will eventually supersede anything anyone has ever devised before, and be an accounting of every significant ordinal.

Zeta-naught is a small countable ordinal, defined as the first (or least) fixed point of the epsilon-function. It is usually denoted as ζ (0). The choice of Zeta, is because it is the next letter in the greek alphabet after epsilon.

ζ {\displaystyle \psi _ {1} (\Omega )=\psi (\zeta _ {\Omega +1})} pay attention then that's the result, but if you multiply the big omega by the big omega and put it into psi 1 which is the second psi which is bigger then it will produce a gamma nought, but this gamma nought is bigger than the initial gamma nought

In this page, I'll list the ordinals / eterikals / orkinals for the "X of FG" Scale in the Numbers 0 to TEON Series. Infinituum Continuum / Inner Eternity - "Infinity" of FG ("Zoppa" / "Zoppth...

Cantor's ordinal ζ 0 (pronounced "zeta-zero", "zeta-null" or "zeta-nought") is a small countable ordinal, defined as the first fixed point of the function α ↦ ε α. [1].