## aussy123 Group Title Does anyone Understand the Greatest Integer Function/The Floor Function?? one year ago one year ago

1. aussy123

@satellite73 Do you understand this?

2. satellite73

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

3. satellite73

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

4. jishan

floor function is often also called the greatest integer function.

5. satellite73

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

6. jishan

|dw:1355153394602:dw|

7. jishan

|dw:1355153493124:dw|

8. aussy123

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

9. jishan

|dw:1355153565230:dw|

10. jishan

depends on x.

11. jishan

|dw:1355153815320:dw|

12. jishan

|dw:1355153861403:dw|

13. jishan

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

14. jishan

|dw:1355153960709:dw|

15. aussy123

6.01= </= is 6