# Test Math Editor

Persamaan Garis Lurus

Bentuk umum :

ax+by=c atau​​ y=mx+c

Element Fungsi Garis Lurus

Persamaan Garis Lurus

Bentuk umum :

ax+by=c atau​​ y=mx+c

Element Fungsi Garis Lurus

fx=a0+n=1ancosnπxL+bnsinnπxL

1+xn=1+nx1!+nn1x22!+

cosα+cosβ=2cos12α+βcos12αβ

x+an=k=0nnkxkank

$[latexpage] At first, we sample$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 \begin{equation} \label{eq:poly} 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: \begin{equation} \label{eq:sys} \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: (\ref{eq:poly}), (\ref{eq:sys}). Here is reference to non-existing equation (\ref{eq:unknown}).$ Article Rating
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