Infinity symbol in bookbinding to indicate that a book is printed on acid-free paper and will therefore be long-lasting. In modern mysticism, the infinity symbol has become identified with a variation of the ouroboros, an ancient image of a snake eating its own tail that has also come to symbolize the infinite, and the ouroboros is sometimes drawn in figure-eight form to reflect this identification, rather than in its more traditional circular form. In the works of Vladimir Nabokov, including "The Gift" and "Pale Fire", the figure-eight shape is used symbolically to refer to the Möbius strip and the infinite, for instance
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