Explanation on arg min

Would someone be so kind to explain this to me:

πnk={1if k=argminj

Especially the \arg\min part.

(It’s from the k-means algorithm.)

Answer

\arg\min is argument of the minimum.

The simplest example is

\arg\min _{x} f(x) is the value of x for which f(x) attains its minimum.

for your example

x_n is known and depends on \pi_{nk}
and k equals to j such that \begin{Vmatrix}
x_n-\mu_j
\end{Vmatrix}^2
attains minimum among all values of \mu_j and given x_n.

hopefully that helps.

Attribution
Source : Link , Question Author : Olivier_s_j , Answer Author : phhu

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