Homestead Act is the legal colonization of the west that was a Contributor to the Guilded Age

statistical context

Homogeneity is a measure of how similar many things are.

Linear Algebra context

…of linear maps

homogeneity is a property of Linear Maps to describe the ability to “factor out” scalars

…of linear equations

A homogenous linear equation is one which the constant term on the right of the equations are \(0\).

homogenous system with more variables than equations has nonzero solutions

Proof: You can imagine the system as a matrix equation:

the

Honoré’s Statistic is a statistical measure of vocabulary complexity, it is a test of Semantic Verbal Fluency and is commonly used for cognitive impairment detection.

The statistic is defined as:

\begin{equation} HS = 100 \log \frac{N}{1-\frac{N_{uni}}{U}} \end{equation}

where, \(N\) is the total number of words, \(U\) the total number of distinct words, \(N_{uni}\) the number of total distinct words used only once.

The idea here is that a higher diversity of vocabulary shows higher Semantic Verbal Fluency.