>10^100 pointless numbers

by FDLevi aka LeventePájer

War god sub-functions

These numbers/functions. These were meant for only positive integers. These are used in some War god numbers/functions.

I. Deimos(x;y)

The Deimos(x;y) function is mostly used in the big hyper-functions. In most of the functions, y=x. It's basically equal to:

However, there can be multiple input numbers, such as 3, 4 or more. It's basically equal to:

For example:

If that's not enough, there can be copied inputs. For example: Deimos(x;5:y), which is equal to: Deimos(x;y;y;y;y;y).

War god numbers/functions

These numbers/functions use Deimos, Bower's Exploding Array Notation, and the Arrow Notation. These were meant for only positive integers.

Part I: Normal functions

I. Eris(x):

The Eris(x) function is just the seed of these functions. The other functions will build up from this singular one. It's equal to:

II. Phobos(x):

The Phobos(x) function relies on Eris(x). Phobos(x) is much faster growing than Eris(x). It's equal to:

III. Ares(x):

The Ares(x) function relies on Phobos(x). Ares(x) is still just a seed for other functions. It's equal to:

IV. Kratos(x)

The Kratos(x) function grows faster compared to the Ares(x) function, than the Ares(x) function compared to the Phobos(x) function (Hope that makes sense.). It's equal to:

V. Hades(x)

The Hades(x) function relies on Kratos(x). Hades(x) has so many superscripts that it is hardly readable without zooming. It's equal to:

VI. Charon(x)

The Charon(x) function relies on Hades(x). Charon(x) is not slow compared to other arrowed functions. It's equal to:

VII. Erebus(x)

The Erebus(x) function relies on Charon(x). This is the penultimate in the normal functions. It's equal to:

VIII. Thanatos(x)

The Thanatos(x) function is the final one in the normal ones. It's equal to:

Part II: Hyper-functions

These are basically the original functions buffed. These rely on Bower's Exploding Array Function.

I. ErisH(x)

The ErisH(x) hyper-function is just the seed of the hyper-functions. This relies on Eris(x). The other hyper-functions will build up from this singular one. It's equal to:

II. PhobosH(x)

The PhobosH(x) hyper-function relies on ErisH(x) and Phobos(x). This grows way faster than it's normal counterpart. It's equal to:

III. AresH(x)

The AresH(x) hyper-function relies on PhobosH(x) and Ares(x). This is equal to:

IV. KratosH(x)

The KratosH(x) hyper-function relies on AresH(x) and Kratos(x). It's equal to:

V. HadesH(x)

The HadesH(x) hyper-function relies on KratosH(x) and Hades(x). It's equal to:

VI. CharonH(x)

The CharonH(x) hyper-function relies on HadesH(x) and Charon(x). It's equal to:

VII. ErebusH(x)

The ErebusH(x) hyper-function is the penultimate hyper-function. It relies on CharonH(x) and Erebus(x). It's equal to:

VIII. ThanatosH(x)

The ThanatosH(x) hyper-function is the ultimate hyper-function. It's the fastest out of all them. It's equal:

Part III: Big-(letter-)functions

These are basically the hyper-functions buffed. These also rely on Bower's Exploding Array Function.

I. ERIS(x)

The ERIS(x) big-letter-function is just the seed of the big-functions. This relies on Eris(x) and ErisH(x). The other big-letter-functions will build up from this singular one. It's equal to:

II. PHOBOS(x)

The PHOBOS(x) big-function relies on ERIS(x), PhobosH(x) and Phobos(x). It's equal to:

III. ARES(x)

The ARES(x) big-function relies on PHOBOS(x), AresH(x) and Ares(x). It's equal to:

IV. KRATOS(x)

The KRATOS(x) big-function relies on ARES(x), KratosH(x) and Kratos(x). It's equal to:

V. HADES(x)

The HADES(x) big-function relies on KRATOS(x), HadesH(x) and Hades(x). It's equal to:

VI. CHARON(x)

The CHARON(x) big-function relies on HADES(x), CharonH(x) and Charon(x). It's equal to:

VII. EREBUS(x)

The EREBUS(x) big-function is the penultimate big letter function. It relies on CHARON(x), ErebusH(x) and Erebus(x). It's equal to:

VIII. THANATOS(x)

The THANATOS(x) big-function is the ultimate big letter function. It's the fastest among the big letter functions. It relies on EREBUS(x), ThanatosH(x) and Thanatos(x). It's equal to:

Part IV: Big-(letter-)hyper-functions

These are basically the big-letter-functions buffed. These also rely on Bower's Exploding Array Function, and on Deimos(x;x).

I. ERISH(x)

The ERIS(x) big-hyper-function is just the seed of the big-hyper-functions. This relies on ERIS(x), ErisH(x) and Eris(x). The other big-letter-hyper-functions will build up from this singular one. It's equal to:

II. PHOBOSH(x)

The PHOBOS(x) big-hyper function relies on ERISH(x), PHOBOS(x), PhobosH(x) and Phobos(x). It's equal to:

III. ARESH(x)

The Ares(x) big-hyper-function relies on PHOBOSH(x), ARES(x), AresH(x) and Ares(x). Ares(x) is still just a seed for other big-hyper-functions. It's equal to:

IV. KRATOSH(x)

The KRATOS(x) big-hyper-function relies on ARES(x), KRATOS(x), KratosH(x) and Kratos(x). It's equal to:

V. HADESH(x)

The HADES(x) big-letter-function relies on KRATOS(x), HADES(x), HadesH(x) and Hades(x). It's equal to:

VI. CHARONH(x)

The CHARON(x) big-letter-function relies on HADES(x), CHARON(x), CharonH(x) and Charon(x). It's equal to:

VII. EREBUSH(x)

The EREBUS(x) big-letter-function is the penultimate big letter function. It relies on CHARON(x), EREBUS(x), ErebusH(x) and Erebus(x). It's equal to:

VIII. THANATOSH(x)

The THANATOS(x) is the ultimate War God function. It relies on EREBUS(x), THANATOS(x), ThanatosH(x) and Thanatos(x). It's equal to: