nikita would like dubs theory because it is all finite so far.
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Anonymous2013-06-06 1:27
A twin dub is a dub number that differs from another dub number by two in any base, for example the twin dub pair in base10 (99, 100). Sometimes the term twin dub is used for a pair of twin dubs; an alternative name for this is dub twin or dub pair.
The ``twin dubs of order k in base b'', denoted ㎎(k,b), where k is a natural number {1,2,3...∞} and b the base.
㎎(k,b) = {b²*k-1,b²*k}.
Example: twin dubs of order 7 in base8.
mg(7,8) = {8²*7-1,8²*7} = {447,448}
Name:
Anonymous2013-06-06 1:29
>>162
Where I said it differs by two in any base, I meant by 1 (ONE).
>>160
The dubs coefficient doesn't need special notation. If B denotes the base set of n, then the dubs coefficient is |B| or card(B).
We also need to agree on nomenclature. Instead of ``dub number", my suggestion is ``dubb", and instead of ``twin dub [number]", it should be ``twin dubb" etc.