Infinity symbol symbol is encoded in Unicode at and in LaTeX as codice_1: formula_4. The Unicode set of symbols also includes several variant forms of the infinity symbol, that are less frequently available in fonts: , and in block Miscellaneous Mathematical Symbols-B. The acid-free paper symbol mentioned above is encoded separately as . Infinity symbol The infinity symbol (sometimes called the lemniscate) is a mathematical symbol representing the concept of infinity. The shape of a sideways figure eight has a long pedigree; for instance, it appears in the cross of Saint Boniface, wrapped around the bars of a Latin cross. However, John
Determining the number of clusters in a data set of "G" "p"-dimensional Gaussian distributions with common covariance. Then for any fixed "K" less than "G", the distortion of a clustering as "p" goes to infinity is infinite. Intuitively, this means that a clustering of less than the correct number of clusters is unable to describe asymptotically high-dimensional data, causing the distortion to increase without limit. If, as described above, "K" is made an increasing function of "p", namely, formula_5, the same result as above is achieved, with the value of the distortion in the limit as "p" goes to infinity being equal to formula_10. Correspondingly, there is the same