How does this part of algorithm works?(K-means) I can't understand the red box. what do does that 1 do before {c(I)=j} ?
Also how does all the algorithms work? May someone explains the to steps more clearly by one example!
1_{c^(i) = j} means if c^(i) is equal to j the value is 1 and zero otherwise. 

In summary, k-means try to solve Voronoi cells for each mean point, and then update mean of members of a cell and update Voronoi cells again. This step is repeated until there is no change in members of the cells.