yes
One such function is [ Y = INT(x) ]. (Y is equal to the greatest integer in ' x ')
There is no such thing as an interger.The ceiling function is a function which maps any variable x to the next integer, or the smallest integer greater than or equal to x. Why? Because that is how the function is defined. And there are many occasions when it is applied in normal life. If you require 3.2 cans of paint to paint a wall you will need to buy 4 cans, if a school wants to take 63 children and staff no a trip and a bus has only 30 seats, you will need three buses.
99
Integers never stop. There is no single greatest one.
-51
No. It has a discontinuity at every integer value.
Both the Greatest Integer Function and the Absolute Value Function are considered Piece-Wise Defined Functions. This implies that the function was put together using parts from other functions.
Less than
Neither of the two are one-to-one
yes
Inverse of a function exists only if it is a Bijection. Bijection=Injection(one to one)+surjection (onto) function.
piecewise
it means something great and top fave to grades
No, because there is no greatest integer.
The most common example of the Greatest Integer Function is the Post Office. Postage is paid based on weight. For example, from between 1 and 2 ounces, you might pay $1.25 postage. However, when you hit 2 ounces to almost 3 ounces you pay $2.00. This progression is a greatest integer function and is currently used today by the Post Office. You could probably get their rate chart and see.
The smallest positive integer is 1. 1 is the multiplicative identity; ie anything times 1 is itself. The greatest negative integer is the most positive negative integer which is -1. Therefore the product of the greatest negative integer and the smallest positive integer is the greatest negative integer which is -1.