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 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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