- #1
matqkks
- 285
- 5
Does anyone know of any real life application of ceiling and floor functions?
alane1994 said:Postal rates are floor functions. Letters between weights w1 and w2 will cost c1 cents; those between weights w2 and w3 will cost c2 cents, etc.
Tax tables are another floor function. If your taxable income is between t1 and t2 then you pay p1; if between t2 and t3 then you pay p2, etc.
Any time you go somewhere and you have to pay d dollars for every hour or portion of an hour for boating, bowling, or laser tag is a ceiling function--you played for 40 minutes means you pay the same price as a full hour.
A ceiling function is a mathematical function that rounds a given number up to the nearest integer. If the number is already an integer, the ceiling function will return the same number. For example, the ceiling of 4.2 is 5, while the ceiling of 9 is 9.
The ceiling function is denoted by the symbol ⌈x⌉, where x is the number to be rounded up. This symbol is also known as the 'ceiling brackets' or 'ceiling notation'.
A floor function is a mathematical function that rounds a given number down to the nearest integer. If the number is already an integer, the floor function will return the same number. For example, the floor of 4.8 is 4, while the floor of 2 is 2.
The floor function is denoted by the symbol ⌊x⌋, where x is the number to be rounded down. This symbol is also known as the 'floor brackets' or 'floor notation'.
Ceiling and floor functions are commonly used in computer programming, particularly in algorithms that require rounding up or down. They are also used in financial calculations, such as rounding up or down to the nearest dollar or cent. These functions can also be used in mathematical proofs and calculations involving limits and inequalities.