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Copy notation is a notation created by the Googology Wiki user, SpongeTechX used to define copied or repeated digits/numbers.

## Definition Edit

Copy notation simply defines the amount of digits in a number which are all the same. You can simplify the number \(5,555\) with this notation by using \(n[m]\). n represents the digit you are using, and the m represents the amount of them. In this case, \(5,555\) would be equal to  \(5\) in copy notation because there are four fives. \(8,888,888\) would be equal to \(8\) because there are seven eights.

Basically, if \(n\) is a digit, \(m\) repeated digits of \(n\) = \(n[m]\), or \(n[m]\) = \(m\) \(n\)'s in copy notation.

All of this applies for 2, 3, etc.-digit numbers. \(10\) = \(10,101,010,101,010,101,010\). That is ten tens.

### Examples Edit

• 2 = 2,222 or four twos
• 4 = 44,444,444 or eight fours
• 9 = 99 or two nines
• 15 = 151,515,151,515,151,515,151,515 or twelve fifteens

### Extension Edit

SpongeTechX extended it to multiple brackets.

a[[b]] = a[a[...[a[a]]...]] with b a's

a[[[b]]] = a[[a[[...[[a[[a]]]]...]]]] with b a's

a[[[[b]]]] = a[[[a[[[...[[[a[[[a]]]]]]...]]]]]] with b a's

And so on. Now

```defines a[b,c] = a[[...[b]...]] with c pairs of brackets.
```

Then:

a[b,c,1] = a[b,c]

a[b,c,d] = a[a[b,c,d-1],a[b,c,d-1]]

a[b,c,d,1] = a[b,c,d]

a[b,c,d,e] = a[a[b,c,d,e-1],a[b,c,d,e-1],a[b,c,d,e-1]]

And so on. Then one last extension:

a[b#c] = a[b,b,...,b,b] with c b's

a[b##1] = a[a[b#b]#a[b#b]]

a[b##2] = a[a[b##1]#a[b##1]]

a[b##3] = a[a[b##2]#a[b##2]]

a[b##m] = a[a[b##(m-1)]#a[b##(m-1)]]

a[b###1] = a[a[b##b]##a[b##b]]

a[b###2] = a[a[b###1]##a[b###1]]

a[b###3] = a[a[b###2]##5[n###2]]

a[b###m] = a[a[b###(m-1)]##a[b###(m-1)]]

## Sources Edit

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