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Libreoffice is an open source, cross platform, word processor program. It is an open source alternative for Microsoft Word and Libreoffice Writer is the document editor. If you downloaded the trial version:. (The files will be transferred from US. the worst case. Then, it has better chances to detect true differences. The disadvantage of this approach is that there may not be much of a separation between the two classes, and the first class may appear as the background. In the second case, the data points of each class are ordered on the 2D plane, the distance between adjacent data points is recorded for each cluster, and the final classification problem is a clustering problem. A common clustering algorithm is expectation-maximization algorithm, which finds the optimal cluster centroids by maximizing the likelihood of the data and clustering them based on the centroids. The clustering results are quite different, where the center of the left branch corresponds to the original dataset and the center of the right branch corresponds to the reordered data points. The distance between the two centers is used as a new feature. This approach is quite commonly used in the paper and Figure \[fig:reorder\] depicts a simplified version of the performance.

The way the distance is calculated is key. If the distance is calculated on the new features, the ratio of the distances for the two classes will be different, which violates the assumption that both are normally distributed. However, if the distances are calculated on the original features, there will be no difference between the two distributions. This property of the feature is key to producing good results from the new approach of detecting differences. In the case of phoneme classification,

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