Draft:Copy notation
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Last edited by Star Mississippi (talk | contribs) 4 days ago. (Update) |
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[4] in copy notation because there are four fives. 8,888,888 would be equal to 8[7] because there are seven eights.
Basically, if n is a value, 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] = 10,101,010,101,010,101,010. That is ten tens.
Examples[edit]
- 2[4] = 2,222 or four twos
- 4[8] = 44,444,444 or eight fours
- 9[2] = 99 or two nines
- 15[12] = 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[[...[c]...]] with b 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],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],e-1]