2018年4月24日火曜日

ゼロ除算関係論文・本

ゼロ除算関係論文・本

\bibitem{okumura18}
H. Okumura, Is it really impossible to divide by zero?
Biostat Online (Biostatistics and Biometrics Open Access Journal)
 
\bibitem{os18april}
Hiroshi Okumura and Saburou Saitoh、
Harmonic mean and the division by zero
Dedicated to Professor Josip Peˇ cari´ c on the occasion of his 70th birthday Forum Geom.

\bibitem{as}

\bibitem{ass}
H. Akca, S. Pinelas and S. Saitoh, Incompleteness of the theory of differential equations and open problems. International Journal of Applied Mathematics \& Statistics

\bibitem{cs}
L. P. Castro and S. Saitoh, Fractional functions and their representations, Complex Anal. Oper. Theory {\bf7} (2013), no. 4, 1049-1063.

\bibitem{kmsy}
M. Kuroda, H. Michiwaki, S. Saitoh, and M. Yamane,
New meanings of the division by zero and interpretations on $100/0=0$ and on $0/0=0$,
Int. J. Appl. Math. {\bf 27} (2014), no 2, pp. 191-198, DOI: 10.12732/ijam.v27i2.9.

\bibitem{ms}
T. Matsuura and S. Saitoh,
Matrices and division by zero $z/0=0$,
Advances in Linear Algebra \& Matrix Theory, {\bf 6} (2016), 51-58.
Published Online June 2016 in SciRes. \url{http://www.scirp.org/journal/alamt}

\bibitem{ms17}
T. Matsuura and S. Saitoh,
Division by zero calculus and singular integrals.

\bibitem{mms17}
T. Matsuura, H. Michiwaki and S. Saitoh,
$\log 0= \log \infty =0$ and applications. Differential and Difference Equations with Applications. Springer Proceedings in Mathematics \& Statistics.

\bibitem{msy}
H. Michiwaki, S. Saitoh, and M.Yamada,
Reality of the division by zero $z/0=0$. IJAPM International J. of Applied Physics and Math. {\bf 6}(2015), 1--8. \url{http://www.ijapm.org/show-63-504-1.html}.

\bibitem{mos}
H. Michiwaki, H. Okumura and S. Saitoh,
Division by Zero $z/0 = 0$ in Euclidean Spaces,
International Journal of Mathematics and Computation, {\bf 28} (2017); Issue 1, 1-16.

\bibitem{OSFG18} H. Okumura and S. Saitoh, Remarks for The Twin Circles of Archimedes in a Skewed Arbelos by Okumura and Watanabe, Forum Geom., \textbf {18}(2018), 97--100.

\bibitem{ow2004}
H. Okumura and M. Watanabe,
The Twin Circles of Archimedes in a Skewed Arbelos,
Forum Geom., {\bf 4}(2004), 229--251.

\bibitem{osm}
H. Okumura, S. Saitoh and T. Matsuura, Relations of $0$ and $\infty$,
Journal of Technology and Social Science (JTSS), {\bf 1}(2017), 70-77.

\bibitem{os}
H. Okumura and S. Saitoh, The Descartes circles theorem and division by zero calculus.\url{https://arxiv.org/abs/1711.04961} (2017.11.14).

\bibitem{OKSJM171} H. Okumura, Configurations of congruent circles on a
line, Sangaku J. Math., \textbf{1} (2017) 24--34.

\bibitem{o}
H. Okumura, Wasan geometry with the division by 0. \url{https://arxiv.org/abs/1711.06947}. International Journal of Geometry, {\bf 7}(2018), No. 1, 17-20.


\bibitem{os18}
H. Okumura and S. Saitoh,
Applications of the division by zero calculus to Wasan geometry.

\bibitem{ps}
S. Pinelas and S. Saitoh,
Division by zero calculus and differential equations. Differential and Difference Equations with Applications. Springer Proceedings in Mathematics \& Statistics.

\bibitem{s}
S. Saitoh, Generalized inversions of Hadamard and tensor products for matrices, Advances in Linear Algebra \& Matrix Theory. {\bf 4} (2014), no. 2, 87--95.

\bibitem{s}
S. Saitoh, A reproducing kernel theory with some general applications,
Qian,T./Rodino,L.(eds.): Mathematical Analysis, Probability and Applications - Plenary Lectures: Isaac 2015, Macau, China, Springer Proceedings in Mathematics and Statistics, {\bf 177}(2016), 151-182. (Springer).

\bibitem{s17}
S. Saitoh, Mysterious Properties of the Point at Infinity,
arXiv:1712.09467 [math.GM](2017.12.17).

\bibitem{saitohbook}

S. Saitoh, DIVISION BY ZERO CALCULUS, Cambridge Scholars Publishing (in press).

\bibitem{ttk}
S.-E. Takahasi, M. Tsukada and Y. Kobayashi, Classification of continuous fractional binary operations on the real and complex fields, Tokyo Journal of Mathematics, {\bf 38}(2015), no. 2, 369-380.



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