Linear Algebra – What Are These Bracketing Symbols and What Do They Mean

linear algebranotation

What do the matching "L" shapes (near .5 and 20) mean in this forumla?

fomula with unknown symbols

The document where I found this formula can be found here: http://www.cs.cmu.edu/~hcwong/Pdfs/icip02.ps

Best Answer

The bracketing symbol means Floor (see http://en.wikipedia.org/wiki/Floor_and_ceiling_functions)

The definition of Floor is $\lfloor x \rfloor$ = Largest integer less than x. This is very similar to rounding down as $\lfloor 2.3 \rfloor = \lfloor 2.999 \rfloor = 2$. However, the subtlety is that for negative numbers it acts slightly differently, as $\lfloor -1.5 \rfloor = -2$ which might not be what you expect at first.

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