@@alexandrevachon541 You know what? Translate this into english (the symbol spamming / w/ definition part): The active entry is the first non-1 entry in an array. The receiving entry is the entry before the active entry (this may not always exist) The very first entry in an array is the main entry. The deepest array of entry x is the array for which x is not within a sub-array. The active row is the row with the active entry in. A block is a section of an array defined by a polynomial, e.g a X^2 block within a X^6 array (see page on megaspaces(not made yet) or Jonathan Bowers' site (he originally came up with this way of describing arrays) here) The previous block to an entry is the block of equal dimensions and megadimensions before the largest block that this term is the first entry in. (this is often just an X^0 point), for example in a 5D array, the previous block to an entry with position (1,1,3,1,5) would be the plane (X,X,2,1,5) To represent part of an array that could be anything, sometimes with some constraints, I will use the following symbols (note that any of these could represent nothing at all): ◆ can be anything ◇ contains only 1's and separators ○ either starts with a separator greater than the one before it or a ']' (or '' where these are used as brackets, and if they could be used appropriately there). ▮ represents any number of '['s if a ... is used, and no extra detail is given, assume it specifies an n long chain of the pattern before it. ▲ any w/ chain ▼ an array with something before the first (k) divider ▽ an array without anything before the first (k) divider ▬ a string of ▽w(x)/'s (any x) ◆[▬▽w(k)/[q◆]▲]◆ = ◆[▬[1(k)1(k)1(k)...(k)1(k)2]w(k)/[1◆]▲]◆, where there are q 1's. This rule means that w(k)/ takes precedence over parts of the array in higher parts of space than (k). ◆[▬▼w(k)/[q◆]▲]◆. The ▼ will be evaluated using either R1 or R2. When it requires to either replace the receiving array with ▼ with the active entry changed to 1, or to make a w/ chain of ▼'s with the active entry decreased by one, instead of just using ▼ with the changes mentioned before, use ▼w(k)/[q◆]▲, with the changes on ▼ mentioned before. ◆[◆]w(k)/1◆ = ◆[◆]◆ (remove trailing 1's from the chain). If no (k) is specified for w(k)/, it defaults to 0 (leading to ,s being used). Additional information can be specified about the workings of the w(k)/ operator, for example: works in the 2nd row of the 3rd plane. Site: sites.google.com/a/hollom.com/extremely-big-numbers/old-homepage/hyperfactorial-notation
@@thetrueendingyoutuber2233 n![k] = ((...(n![k-1])![k-1]...)![k-1])![k-1], with n '![k-1]'s n![1] = n!n (this rule, that [1] = n, applies everywhere, not just here)
![BEAF/BAN Increasing (Part 1: 1 to {10, 100 [2] 3}](http://i.ytimg.com/vi/roKEZGn8l3g/mqdefault.jpg)
Its with
please respond
It stands for "with".
Here, tethratope is E100#^^#^#100 in the Cascading-E notation. In HAN, it is ((...((100![1])![1])...)![1])![1], with 104 (...)'s
@@alexandrevachon541 yeah, but what if it's x![1]w/y
@@thetrueendingyoutuber2233 It would be the expofactorial of x with y pairs of parentheses, which themselves are expofactorials
@@alexandrevachon541 You know what? Translate this into english (the symbol spamming / w/ definition part):
The active entry is the first non-1 entry in an array.
The receiving entry is the entry before the active entry (this may not always exist)
The very first entry in an array is the main entry.
The deepest array of entry x is the array for which x is not within a sub-array.
The active row is the row with the active entry in.
A block is a section of an array defined by a polynomial, e.g a X^2 block within a X^6 array (see page on megaspaces(not made yet) or Jonathan Bowers' site (he originally came up with this way of describing arrays) here)
The previous block to an entry is the block of equal dimensions and megadimensions before the largest block that this term is the first entry in. (this is often just an X^0 point), for example in a 5D array, the previous block to an entry with position (1,1,3,1,5) would be the plane (X,X,2,1,5)
To represent part of an array that could be anything, sometimes with some constraints, I will use the following symbols (note that any of these could represent nothing at all):
◆ can be anything
◇ contains only 1's and separators
○ either starts with a separator greater than the one before it or a ']' (or '' where these are used as brackets, and if they could be used appropriately there).
▮ represents any number of '['s
if a ... is used, and no extra detail is given, assume it specifies an n long chain of the pattern before it.
▲ any w/ chain
▼ an array with something before the first (k) divider
▽ an array without anything before the first (k) divider
▬ a string of ▽w(x)/'s (any x)
◆[▬▽w(k)/[q◆]▲]◆ = ◆[▬[1(k)1(k)1(k)...(k)1(k)2]w(k)/[1◆]▲]◆, where there are q 1's. This rule means that w(k)/ takes precedence over parts of the array in higher parts of space than (k).
◆[▬▼w(k)/[q◆]▲]◆. The ▼ will be evaluated using either R1 or R2. When it requires to either replace the receiving array with ▼ with the active entry changed to 1, or to make a w/ chain of ▼'s with the active entry decreased by one, instead of just using ▼ with the changes mentioned before, use ▼w(k)/[q◆]▲, with the changes on ▼ mentioned before.
◆[◆]w(k)/1◆ = ◆[◆]◆ (remove trailing 1's from the chain).
If no (k) is specified for w(k)/, it defaults to 0 (leading to ,s being used).
Additional information can be specified about the workings of the w(k)/ operator, for example: works in the 2nd row of the 3rd plane.
Site: sites.google.com/a/hollom.com/extremely-big-numbers/old-homepage/hyperfactorial-notation
@@thetrueendingyoutuber2233 n![k] = ((...(n![k-1])![k-1]...)![k-1])![k-1], with n '![k-1]'s
n![1] = n!n (this rule, that [1] = n, applies everywhere, not just here)