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test post using QuickLaTeX

A simple test post using QuickLaTeX

(1)   \begin{equation*} E= mc^2 \end{equation*}

    \[ \ce{MgSO_{4}\cdot12H_{2}O(s)} \]

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

(2)   \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:

(3)   \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: (2), (3).
Here is reference to non-existing equation (??).

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