when > (note that log is zero for example log is ( justification log example log is (log njustification log note that log is zero for that is why we use > in this case example + is ( njustification + * nhencewe can take and in this case example log is (njustification log hencewe can take in this case characterizing functions in simplest terms in generalwe should use the big-oh notation to characterize function as closely as possible while it is true that the function ( is ( or even ( )it is more accurate to say that (nis ( considerby way of analogya scenario where hungry traveler driving along long country road happens upon local farmer walking home from market if the traveler asks the farmer how much longer he must drive before he can find some foodit may be truthful for the farmer to say"certainly no longer than hours,but it is much more accurate (and helpfulfor him to say"you can find market just few minutes drive up this road thuseven with the big-oh notationwe should strive as much as possible to tell the whole truth it is also considered poor taste to include constant factors and lower order terms in the big-oh notation for exampleit is not fashionable to say that the function