The best Integer function is additionally known as the Floor Function. It is composed as $$f(x) = \lfloor x \rfloor$$. The worth of $$\lfloor x \rfloor$$ is the biggest integer the is less than or same to $$x$$.


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Definition

The best Integer duty is defined as

$$\lfloor x \rfloor = \mboxthe biggest integer the is$$ less than or equal to $$x$$.

In mathematics notation we would certainly write this as

$$ \lfloor x\rfloor = \max\m\in\mathbbZ $$

The notation "$$m\in\mathbbZ$$" means "$$m$$ is one integer".

Examples


equipment

If we study a number line with the integers and also 2.7 plotted top top it, we see

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How to use the pythagorean Theorem

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