#2**+5 **#### (Limited) extension to negative heights[edit]

From wikipedia:

In order to preserve the original rule:

for negative values of we must use the recursive relation:

Thus:

However smaller negative values cannot be well defined in this way because

which is not well defined.

Note further that for any definition of is consistent with the rule because

- for any .

Guest Dec 13, 2014

#1**+5 **

I believe that, by definition ^{-1}2 = log_{2}(^{0}2) = log_{2}(1) = 0.

I would suggest going online to find a fuller explanation.

geno3141
Dec 13, 2014

#2**+5 **

Best Answer#### (Limited) extension to negative heights[edit]

From wikipedia:

In order to preserve the original rule:

for negative values of we must use the recursive relation:

Thus:

However smaller negative values cannot be well defined in this way because

which is not well defined.

Note further that for any definition of is consistent with the rule because

- for any .

Guest Dec 13, 2014