Main Body
LaTeX test
![what will this look like? [\latex] \huge Big text goes here](https://pressbooks.uiowa.edu/app/uploads/quicklatex/quicklatex.com-21a3959c439f9a5992f005b84ac74e19_l3.png "Rendered by QuickLaTeX.com")
\begin{center}
\fbox{\textit{Have a nice day!}}
\end{center}
![\[ \left( \begin{array}{c|rc|l} \\ 4x^2 & 3y^3 & = & 0 \\ x_1 & \vdots & = & \cdot \\ f_{n+3}(x) & f_{n+2} & = & \ldots \\ \end{array} \right] \]](https://pressbooks.uiowa.edu/app/uploads/quicklatex/quicklatex.com-c0588977af7c75e937d01a9e09223185_l3.png "Rendered by QuickLaTeX.com")
![\[ \left[ \begin{array}{cc} 2 & 4 \\ 3 & 1 \\ \end{array}\right] + \left[ \begin{array}{cc} 1 & 0 \\ 0 & 1 \\ \end{array}\right] = \left[ \begin{array}{cc} 3 & 4 \\ 3 & 2 \\ \end{array} \right] \]](https://pressbooks.uiowa.edu/app/uploads/quicklatex/quicklatex.com-8c6900d5da7b60cfe4d4c912f809f018_l3.png "Rendered by QuickLaTeX.com")
\usepackage{exscale,relsize}
and
but
At first, we sample 
in the 
( is odd) equidistant points around 
:
![\[ f_k = f(x_k),\: x_k = x^*+kh,\: k=-\frac{N-1}{2},\dots,\frac{N-1}{2} \]](https://pressbooks.uiowa.edu/app/uploads/quicklatex/quicklatex.com-33b7662a986b29d4caea6c2d874be986_l3.png "Rendered by QuickLaTeX.com")
where 
is some step.
Then we interpolate points 
by polynomial
(1) 
Its coefficients 
are found as a solution of system of linear equations:
(2) 
Here are references to existing equations: (1), (2).
Here is reference to non-existing equation (??).
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