## anonymous 3 years ago Does anyone Understand the Greatest Integer Function/The Floor Function??

1. anonymous

@satellite73 Do you understand this?

2. anonymous

i know what it is yes greatest integer of $$x$$ is, well, the greatest integer less than or equal to $$x$$

3. anonymous

so for example $$[2.1]=2,[\pi]=3,[-\pi]=-4$$

4. anonymous

floor function is often also called the greatest integer function.

5. anonymous

it is the archetypical step function here is a nice graph http://www.wolframalpha.com/input/?i=floor%28x%29

6. anonymous

|dw:1355153394602:dw|

7. anonymous

|dw:1355153493124:dw|

8. anonymous

What if its given :f(x) = [2x]

9. anonymous

|dw:1355153565230:dw|

10. anonymous

depends on x.

11. anonymous

|dw:1355153815320:dw|

12. anonymous

|dw:1355153861403:dw|

13. anonymous

this function r useful for in data storage & data transmission...............

14. anonymous

|dw:1355153960709:dw|

15. anonymous

6.01= </= is 6