Teddy Roosevelt was an American president.

• Large personality: expanded scope of the Presidency — “if it doesn’t explicit say its belong to the congress, it belongs to me”
• Moralist (Support American People), Imperialist (Believes in American Righteousness), Progressive
• Monroe Doctrine & Roosevelt Corollary: America for Americans
• The Panama Canal - engineered coup! to build the panama canal

…is a series for which pairs cancel out:

\begin{equation} (1-x)(1+x+ \dots + x^{n-1}) \end{equation}

you will note that, though the expansion of this result, pairs of:

\begin{equation} -x^{j} + x^{j} \end{equation}

form. And you will note those cancel. Hence this is a telescoping series.

A Term-Document Matrix is a boolean matrix of: rows—“terms”, the search keywords—and columns—“documents”, which is the document. Each element \((x,y)\) is \(1\) if \(y\) contains term \(x\), and \(0\) otherwise.

To perform a search, we take a boolean operation over each row (usually either complement for NOT or identity), and AND it with all other terms. The resulting boolean string are the valid documents.

Notably, this is quite intractable because the matrix is quite (words times documents) blows up. However, this representation is QUITE SPARSE. So, ideally we only store it sparsely.

Given what you claim as a normal distribution, we can test for its normality. Any distribution you claim as normal has to follow that:

\begin{equation} np \geq 10 & n(1-p) \geq 10 \end{equation}

that number of successes and failures need both be greater than or equal to ten.