1Gunma University Foundation for Science and Technology
1-5-1 Tenjin-cho, Kiryu 376-8515, JAPAN 2,3,4Institute of Reproducing Kernels
Kawauchi-cho, 5-1648-16, Kiryu 376-0041, JAPAN
Abstract. In this paper, we shall give simple and natural, however, the surprising identities 100/0=0 and 0/0=0 by a natural extension of fractions with the concept of Tikhonov regularization using the theory of reproducing kernels. We shall give interpretations of the results.