MHB Graph Function: What Does It Mean?

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The floor function, denoted as $$\lfloor x \rfloor$$, represents the largest integer that is not greater than a given value $x$. This function is also referred to as the integral part or integer part of $x$. It can be formally defined using a set equation that identifies the maximum integer $m$ such that $m$ is less than or equal to $x$. Understanding the floor function is essential in various mathematical applications, particularly in discrete mathematics and computer science. The floor function plays a crucial role in rounding down real numbers to their nearest integers.
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What does the function even mean?
 

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That is one way to denote the floor function, more commonly given as $$\lfloor x \rfloor$$, which means the largest integer not greater than $x$. Its value at $x$ is called the integral part or integer part of $x$. The fllor function may be defined by the set equation:

$$\lfloor x \rfloor=\max\{m\in\mathbb{Z}\,|\,m\le x\}$$
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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