NEW MEANINGS OF THE DIVISION BY ZERO AND
INTERPRETATIONS ON 100/0= 0 AND ON 0/0=0
Masao Kuroda1, Hiroshi Michiwaki2,
Saburou Saitoh3, Masami Yamane4
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.
AMS Subject classification: 42A38, 30C40, 46E22, 32A36
Keywords and phrases: general fractional function, fraction, Moore-Penrose generalized inverse, Tikhonov regularization, reproducing kernel, singular point, computer, algorithm, Newton law, big bang, Laurant expansion, singularity of analytic function, Picard's great theorem, Doppler effect, capillary pressure, Laplace-Young equation


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DOI: 10.12732/ijam.v27i2.9

Volume: 27
Issue: 2
Year: 2014