# Category:Floor Function

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This category contains results about the floor function.

Definitions specific to this category can be found in Definitions/Floor Function.

## Also see

## Subcategories

This category has the following 4 subcategories, out of 4 total.

### C

### E

### F

## Pages in category "Floor Function"

The following 53 pages are in this category, out of 53 total.

### C

### F

- Floor defines Equivalence Relation
- Floor equals Ceiling iff Integer
- Floor Function is Continuous on Right at Integer
- Floor Function is Idempotent
- Floor Function is Integer
- Floor Function is Not Continuous on Left at Integer
- Floor Function is Replicative
- Floor is between Number and One Less
- Floor of Ceiling is Ceiling
- Floor of Floor is Floor
- Floor of Half of n+m plus Floor of Half of n-m+1
- Floor of m+n-1 over n
- Floor of m+n-1 over n/Example 1
- Floor of Negative equals Negative of Ceiling
- Floor of Non-Integer
- Floor of Number plus Integer
- Floor of Root of Floor equals Floor of Root
- Floor of x+m over n
- Floor of x+m over n/Corollary
- Floor plus One

### I

### N

### R

### S

- Sum of Floor and Floor of Negative
- Sum of Floors not greater than Floor of Sum
- Sum over j of Function of Floor of mj over n
- Sum over j of Function of Floor of mj over n/Corollary
- Sum over k of Floor of Log base b of k
- Sum over k of Floor of Root k
- Sum over k of Sum over j of Floor of n + jb^k over b^k+1
- Sum over k of Sum over j of Floor of n + jb^k over b^k+1/Corollary
- Summation over k of Floor of k over 2
- Summation over k of Floor of mk+x over n
- Summation over k of Floor of x plus k over y