What is a greatest integer function?
Understand the Problem
The question is asking what the greatest integer function is, which involves understanding the mathematical concept that rounds down a real number to the greatest integer less than or equal to that number.
Answer
The greatest integer function gives the largest integer less than or equal to a given real number.
The greatest integer function, also known as the step function or floor function, takes any real number and gives the largest integer less than or equal to that number. For instance, the greatest integer function of 5.7 is 5.
Answer for screen readers
The greatest integer function, also known as the step function or floor function, takes any real number and gives the largest integer less than or equal to that number. For instance, the greatest integer function of 5.7 is 5.
More Information
The greatest integer function is often used in mathematics to simplify the analysis of functions and sequences, especially in discrete mathematics and computer science.
Sources
- Greatest Integer Function - GeeksforGeeks - geeksforgeeks.org
- Floor and ceiling functions - Wikipedia - en.wikipedia.org
- Greatest Integer Function - Graph, Domain & Range, Examples - cuemath.com
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