I am gonna to Introduce the **brace function**! click the link!

**To edit this blog, click here. (For correcting any mistakes.)**

Introducing brace function! It can be written as Brace(n) or brace(n) , the only diff is caps, **no** case sensitive. And for now, i shall use the comma (,) as followed by. \(a\)

## History

When i tried to make many epsilon stack, then i make many braces that is ("this amount of") epsilons. Then "this amount of this amount of". And i made "this amount of this amount of this amount of".... I wrote it in about march or april 2013. Then... I try it on finite thingy. And i wrote the different amount of entries, with the different properties. So then, i started creating it.

## Rules

- if the slash was used, there can be only one and after the first number. And it will be
*n.5*entries. - Brace(@,1) ≠ Brace(@) (
**not confirmed**)

## Target

\(\omega\)

## One entry (below 2 entries)

- Brace(0) = 0, it is 0 followed by 0 for
**0 times!**

- Brace(1) = 1

- Brace(2) = 22

- Brace(3) = 333, because, \(\underbrace{333}_{3}\). I use braces.

- Brace(4) = 4444

Growth: >**ƒ _{2}**, for 1.0 entry and 1.5 entries too.

**Factorials**

- Brace(3!) = (3!),(3!),...,(3!) with 3! 3!'s
**or**6,6,6,6,6,6 = 666666. \(∵\) 3! = 1 × 2 × 3 = 6. = Brace((3)!)

- Brace(3)! = 333! = (Brace(3))!

**More than one digits**

Yes, is still followed by.

- Brace(11) = 1111111111111111111111. Is 11 followed by 11 for 11 times including the first 11.
- Brace(123) = \(\underbrace{123123123 \cdots 123123}_{123~123's}\) lol, i use
and thats why i named brace function.**BRACES**

**Nested (one entry)**

Nested could be confusing to solve.

- Brace(brace(2)) = (brace(2)),(brace(2)),(brace(2)),...,(brace(2)),(brace(2)). With brace(2) brace(2)'s
**or**22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22, 22 pairs of 22 (because brace(2) is 22.)

**1.5 entries.**

I shall use the comma to indicate "followed by".

Brace(a/b) = \(\underbrace{a,a,a, \cdots ,a,a,a}_{b~a's}\).

- Brace(0/1) = 0

- Brace(0/2) = 00
**,**lol, it is still the same answer as brace(0/1).

- Brace(1/0) = AHH

With the slash, it will be *n*.5 entries.

## Two entries (type 2) NOT CONFIRMED YET

Brace(a,b) the real 2 entries!

*c* is hyper operator... means c = 1,2,3,4,5... is +,×,^,^^,^^^...

So,

Brace(a) = a,a,...,a with a a's

Brace(a,b) = ababab...baba.

And Brace(a/b,c) = acacac...cacaca with b a's.

If the last entry is 1: Brace(a/b,1) ≠ brace(a/b)... maybe

## Two entries (type 3) (type 1 + type 2)

Brace(a,b/c) = \(\underbrace{acacac \cdots cacaca}_{b~ac's}\). **or** \(\underbrace{a\{c\}a\{c\}a\{c\} \cdots \{c\}a\{c\}a\{c\}a}_{b~a\{c\}'s}\) using the bowers bracket operator in the **old version.**

**LOL!!!**

**LOL!!!**