3-Colorable Even Embeddings on Closed Surfaces by Nakamoto A., Sasanuma N.

By Nakamoto A., Sasanuma N.

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In absolute values the variation in variable 1 is therefore much larger. When one transforms variables 1 and 2 by taking their logarithms the variation in the two transformed variables becomes comparable. 1. It also has the advantage that the scaling does not change when data are added. This is not so for eqs.

In data analysis it is possible to assign different masses to individual 43 points, thus giving more weight to certain points than to others. This aspect will be further developed in Chapter 32. 60) P P j where 1^ is the sum vector of dimension p. The elements of m^ represent the coordinates of the row-centroid, which corresponds with the center of mass of the column-pattern P^ of points formed in row-space S"^. 61) Usually, the raw data in a matrix are preprocessed before being submitted to multivariate analysis.

12. R. Dillon and M. Goldstein, Multivariate Analysis, Methods and Applications. Wiley, New York, 1984. R. Gantmacher, The Theory of Matrices. Vols. 1 and 2. , New York, 1977. C. Giri, Multivariate Statistical Inference. Academic Press, New York, 1972. N. Cliff, Analyzing Multivariate Data. Academic Press, San Diego, CA, 1987. J. Harris, A Primer on Multivariate Statistics. Academic Press, New York, 1975. C. J. Collins, Introduction to Multivariate Analysis. Chapman and Hall, London, 1980. S. M.

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