Test of Latex Math 2

Below is an example test blog showing the use of Latex used in Math mode. These blogs allow you to also use Markdown. The Latex package used is called WP QuickLatex. There is a few features that don’t work such as the use of backslash[ and backslash] due to some conflicts with Markdown processing. Try creating a test post using Latex and see how it goes for you For more info go to these links: http://www.holoborodko.com/pavel/quicklatex/. Also see:https://wordpress.org/plugins/wp-quicklatex/

At first, we sample f(x) in the N (N is odd) equidistant points around x^3:

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

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).

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