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I've never seen log^2 x mean anything except (log x)^2; you're thinking of ^2log x.
by JoachimSchipper 16y ago
I've never seen log^2 x mean anything except (log x)^2; you're thinking of ^2log x.
- pessimizer 16y agoI've never seen log^2 x mean (log x)^2. Common notation?
- pmjordan 16y agoYes. It's maybe more frequently seen on other functions such as trig functions (e.g. the identity sin²α+cos²α=1) but it crops up a lot on logarithms in computational complexity (as here). I've certainly never seen it used to mean anything else. As grandpa says, base is written as subscript.
- grandpa 16y agoThe base is usually a subscript: log_2(x), and the square is a superscript, log^2(x). Example of the superscript notation meaning squared: http://www.springerlink.com/content/7n7219tcyxr81gxc/ http://www.springerlink.com/content/7n7219tcyxr81gxc/