In this
paper, a new viewpoint of the division by zero z/0 = 0 in matrices is introduced and the results will show that
the division by zero is our elementary and fundamental mathematics. New and
practical meanings for many mathematical and physical formulas for the
denominator zero cases may be given. Furthermore, a new space idea for the
point at infinity for the Eucleadian plane is also introduced.
References
[1]
Saitoh, S. (2014) Generalized Inversions of Hadamard and Tensor Products for Matrices. Advances in Linear Algebra & Matrix Theory, 4, 87-95. http://www.scirp.org/journal/ALAMT/
[2]
Kuroda, M., Michiwaki, H., Saitoh, S. and Yamane, M. (2014) New Meanings of the Division by Zero and Interpretations on 100/0 = 0 and on 0/0 = 0. International Journal of Applied Mathematics, 27, 191-198. http://dx.doi.org/10.12732/ijam.v27i2.9
[3]
Castro, L.P. and Saitoh, S. (2013) Fractional Functions and Their Representations. Complex Analysis and Operator Theory, 7, 1049-1063. http://dx.doi.org/10.1007/s11785-011-0154-1
[4]
Ahlfors, L.V. (1966) Complex Analysis. McGraw-Hill Book Company.
[5]
Michiwaki, H., Saitoh, S. and Yamada, M. (2015) Reality of the Division by Zero z/0 = 0. International Journal of Applied Physics and Mathematics, 6, 1-8. http://www.ijapm.org/show-63-504-1.html
[6]
Bergstra, J.A., Hirshfeld, Y. and Tucker, J.V. (2009) Meadows and the Equational Specification of Division. arXiv: 0901.0823v1[math.RA].
[7]
Barukcic, J.P. and Barukcic, I. (2015) Anti Aristotle. The Division of Zero by Zero. ViXra.org, Ilija Baruk, Jever, Germany.
[8]
Reis, T.S. and Anderson, J.A.D.W. (2014) Transdifferential and Transintegral Calculus. Proceedings of the World Congress on Engineering and Computer Science, San Francisco, 22-24 October 2014.
[9]
Reis, T.S. and Anderson, J.A.D.W. (2015) Transreal Calculus. IAENG International Journal of Applied Mathematics, 45, 1-15.
[10]
Takahasi, S.-E., Tsukada, M. and Kobayashi, Y. (2015) Classification of Continuous Fractional Binary Operations on the Real and Complex Fields. Tokyo Journal of Mathematics, 38, 369-380. http://dx.doi.org/10.3836/tjm/1452806046