LaTeX test

$what will this look like? [\latex] \huge Big text goes here$

$\frac{stuff}{otherstuff}$

\begin{center}
\fbox{\textit{Have a nice day!}}
\end{center}

$x^2 + y^2 = 3$ $x^2 + y^2 = 3$ $x^2 + y^2 = 3$
$x^2 + y^2 = 3$
$x^2 + y^2 = 3$
$x^2 + y^2 = 3$

      



      

      



\usepackage{exscale,relsize}
      
and  but

At first, we sample $f(x)$ in the $N$ ( $N$ is odd) equidistant points around $x^*$ :

$f_k = f(x_k),\: x_k = x^*+kh,\: k=-\frac{N-1}{2},\dots,\frac{N-1}{2}$

where $h$ is some step.
Then we interpolate points $\{(x_k,f_k)\}$ by polynomial

(1) $\begin{equation*} P_{N-1}(x)=\sum_{j=0}^{N-1}{a_jx^j} \end{equation*}$

Its coefficients $\{a_j\}$ are found as a solution of system of linear equations:

(2) $\begin{equation*} \left\{ P_{N-1}(x_k) = f_k\right\},\quad k=-\frac{N-1}{2},\dots,\frac{N-1}{2} \end{equation*}$

Here are references to existing equations: (1), (2).
Here is reference to non-existing equation (??).

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Here is my practice book Copyright © by vickymaloy. All Rights Reserved.

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