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Mathematics 19 Online
OpenStudy (aravindg):

what is greatest integer function????

OpenStudy (anonymous):

\[[x]\] means the greatest integer less than or equal to x. for example \[[2.4]=2\] \[[1.99999]=1\] \[[\pi]=3\] \[[-\pi]=-4\]

OpenStudy (anonymous):

it is a step function because it is constant on any interval \[[n,n+1)\] for integer n

OpenStudy (anonymous):

and here is a nice picture http://www.wolframalpha.com/input/?i=greatest+integer+%28x%29 you can see why it is called a "step function"

OpenStudy (aravindg):

what iss for 4.89

OpenStudy (anonymous):

greatest integer less than 4.89 is...

OpenStudy (anonymous):

just take the "whole number" part and ignore the decimal

OpenStudy (aravindg):

what is fractional integer fn??

OpenStudy (aravindg):

only tht ??its too simple

OpenStudy (anonymous):

yes i sent you a picture. it is easy. but don't be fooled because piecewise functions can cause lots of problems

OpenStudy (anonymous):

so \[[4.89]=4\]

OpenStudy (aravindg):

what is fractional integer fn??

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