\numberwithin{equation}{section} \begin{document} \title{\bf Announcement 600: The 7th birthday of the division by zero $z/0=0$ \\ (2021.2.2)\\ For Founding a new International Journal of Division by Zero Calculus } \author{{\it Institute of Reproducing Kernels}\\ Kawauchi-cho, 5-1648-16,\\
{\bf kbdmm360}\\ } \date{2021.1.26.} \maketitle The Institute of Reproducing Kernels is dealing with the theory of division by zero calculus and declares that the division by zero was discovered as $0/0=1/0=z/0=0$ in a natural sense on 2014.2.2. The result shows a new basic idea on the universe and space since Aristotele (BC384 - BC322) and Euclid (BC 3 Century - ), and the division by zero is since Brahmagupta (598 - 668 ?).
However, note that the division by zero $1/0=0$ having a mysterious long history was, in fact, known as the generalized Moore-Penrose solution of the fundamental equation: $ax=b$.
\medskip
The division by zero calculus is a new and fundamental concept, and it may be defined simply as follows: \medskip
For a function $y = f(x)$ which is $n$ order differentiable at $x =a$, we will {\bf define} the value of the function, for $n \ge 0$
\frac{f(x)}{(x -a)^n} $$ at the point $x=a$ by the value $$ \frac{f^{(n)}(a)}{n!}.
For the important case of $n=1$, $$ \frac{f(x)}{x -a} |_{x=a} = f^\prime(a). $$ \medskip
Look the simple evidence of its importance: \medskip
viXra:2010.0228 submitted on 2020-10-28 21:39:06, Division by Zero Calculus and Euclidean Geometry - Revolution in Euclidean Geometry \medskip
Look a simple video talk for its essence at some international conference: \medskip
For the detailed information, the book will be published soon as: \medskip
S. Saitoh, Introduction to the Division by Zero Calculus, Scientific Research Publishing (2021) (in press). \medskip
Some publisher of London is wishing some publication of a new International Journal of Division by Zero Calculus. The topics may be identified as the division by zero calculus. However, the contents will be related to our serious problems: \medskip
What is ZERO? \medskip
What is Division by Zero, in some serious sense? \medskip
The problems may be related to mathematical philosophy, long history and our culture. The starting of the International Journal will not be still easy at this moment, however, for its importance, we would like to manage to found the new Journal in some near future. So, we will need the kind help of the leading mathematical scientists. \medskip
How will be the related physicists? \medskip
Computer scientists? \medskip
We attached the journal style (in a rough way) in the below. You can express your positive suggestions and comments for the style. For your great contributions in connection with this topics, how will be your editorial member? However, the final decision may be done by the publisher. We wish to have your positive answer with your valuable suggestions and comments. If you kindly are interested in the editorial member, then please send your simple CV with your wishes for some estimation by the publisher. Please kindly forward this announcement to your related colleagues that you think suitable persons.
\bigskip
{\it For your starting email, I think as follows:
Many thanks for your email. The journals suggested by you are very interesting and new to the subject area. We accept to publish both journals under your editorship. We need following things from your side for preparing the sample web page of the journals.
1. Aim and Scope , Instructions to Authors, List of the editorial board members, Frequency of the journal.
Of course, they are important. However, for Frequency of the journal, we should consider it in a new type. We should not loss our valuable time for us and for the authors. We all do not like to loss our time for publication and refereeing time. This will mean that we should not fix Frequency of the journal. When a paper was accepted officially, then, soon the paper should be presented on line. So, some time, we can give the number for an accepted paper. If you wish to publish the papers in some Journal style or book, you will be able to publish them in some papers with a suitable page numbers. How will be this idea?
2. The journal will be free for the readers (open Access publications). The journal will not charge any fee from the authors for getting published in the journal. Fine: However is it possible?
3. We need some sample images from your end to prepare the cover page for the journals. We can consider them with computer graphics. For a paper style, how will be it in a free style, we request it PDF in order not to loss any valuable time for us and for the authors.
I think: this is an ideal style
viXra:2010.0228 submitted on 2020-10-28 21:39:06, Division by Zero Calculus and Euclidean Geometry - Revolution in Euclidean Geometry
The problem is no refereeing procedures. We are requested to have some authority, some check system for the paper. This is a problem only. I think you will be able to consider new journals in this spirit.
The publisher already gave a very good sample manuscript form by LaTex; very simple way. No problem.
4. We will provide the support to the editor to check the plagiarism in the articles via turnitin software.
We will request minor corrections formally for the accepted paper.}
\bibitem{boyer} C. B. Boyer, An early reference to division by zero, The Journal of the American Mathematical Monthly, {\bf 50} (1943), (8), 487- 491. Retrieved March 6, 2018, from the JSTOR database.
\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{ms16} 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. http://www.scirp.org/journal/alamt \\ http://dx.doi.org/10.4236/alamt.2016.62007.
\bibitem{mms18} 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. {\bf 230} (2018), 293-305.
\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. 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 2}8(2017); Issue 1, 1-16.
\bibitem{oku18} H. Okumura, Is It Really Impossible To Divide By Zero? Biostat Biometrics Open Acc J. 2018; 7(1): 555703. DOI: 10.19080/BBOJ.2018.07.555703.
\bibitem{o} H. Okumura, Wasan geometry with the division by 0. https://arxiv.org/abs/1711.06947 International Journal of Geometry. {\bf 7}(2018), No. 1, 17-20.
\bibitem{ok1812} H. Okumura, An Analogue to Pappus Chain theorem with Division by Zero, Forum Geom., {\bf 18} (2018), 409--412.
\bibitem{okumurafield} H. Okumura, To Divide by Zero is to Multiply by Zero, viXra: 1811.0283 submitted on 2018-11-18 20:46:54.
\bibitem{okumura19a} H. Okumura, A Remark of the Definition of $0/0=0$ by Brahmagupta, viXra:1902.0221 submitted on 2019-02-12 23:41:31.
\bibitem{okumura20} H. Okumura, A Chain of Circles Touching a Circle and Its Tangent and Division by Zero, viXra:2001.0034 submitted on 2020-01-03 01:08:58.
\bibitem{okumura20b} H. Okumura, Pappus Chain and Division by Zero, viXra:2001.0123 replaced on 2020-01-08 06:57:36.
\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. https://arxiv.org/abs/1711.04961 (2017.11.14).
\bibitem{os18april} H. Okumura and S. Saitoh, Harmonic Mean and Division by Zero, Dedicated to Professor Josip Pe\v{c}ari\'{c} on the occasion of his 70th birthday, Forum Geometricorum, {\bf 18} (2018), 155—159.
\bibitem{os18} H. Okumura and S. Saitoh, Remarks for The Twin Circles of Archimedes in a Skewed Arbelos by H. Okumura and M. Watanabe, Forum Geometricorum, {\bf 18}(2018), 97-100.
\bibitem{os18e} H. Okumura and S. Saitoh, Applications of the division by zero calculus to Wasan geometry. GLOBAL JOURNAL OF ADVANCED RESEARCH ON CLASSICAL AND MODERN GEOMETRIES” (GJARCMG), {\bf 7}(2018), 2, 44--49.
\bibitem{os1811} H. Okumura and S. Saitoh, Wasan Geometry and Division by Zero Calculus, Sangaku Journal of Mathematics (SJM), {\bf 2 }(2018), 57--73.
\bibitem{ps18} S. Pinelas and S. Saitoh, Division by zero calculus and differential equations. Differential and Difference Equations with Applications. Springer Proceedings in Mathematics \& Statistics. {\bf 230} (2018), 399-418.
\bibitem{romig} H. G. Romig, Discussions: Early History of Division by Zero, American Mathematical Monthly, {\bf 3}1, No. 8. (Oct., 1924), 387-389.
\bibitem{s14} S. Saitoh, Generalized inversions of Hadamard and tensor products for matrices, Advances in Linear Algebra \& Matrix Theory. {\bf 4} (2014), no. 2, 87--95. http://www.scirp.org/journal/ALAMT/
\bibitem{s16} 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.
\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.
\bibitem{ann179} Announcement 179 (2014.8.30): Division by zero is clear as z/0=0 and it is fundamental in mathematics.
\bibitem{ann185} Announcement 185 (2014.10.22): The importance of the division by zero $z/0=0$.
\bibitem{ann237} Announcement 237 (2015.6.18): A reality of the division by zero $z/0=0$ by geometrical optics.
\bibitem{ann246} Announcement 246 (2015.9.17): An interpretation of the division by zero $1/0=0$ by the gradients of lines.
\bibitem{ann247} Announcement 247 (2015.9.22): The gradient of y-axis is zero and $\tan (\pi/2) =0$ by the division by zero $1/0=0$.
\bibitem{ann250} Announcement 250 (2015.10.20): What are numbers? - the Yamada field containing the division by zero $z/0=0$.
\bibitem{ann252} Announcement 252 (2015.11.1): Circles and curvature - an interpretation by Mr. Hiroshi Michiwaki of the division by zero $r/0 = 0$.
\bibitem{ann281} Announcement 281 (2016.2.1): The importance of the division by zero $z/0=0$.
\bibitem{ann282} Announcement 282 (2016.2.2): The Division by Zero $z/0=0$ on the Second Birthday.
\bibitem{ann293} Announcement 293 (2016.3.27): Parallel lines on the Euclidean plane from the viewpoint of division by zero 1/0=0.
\bibitem{ann300} Announcement 300 (2016.05.22): New challenges on the division by zero z/0=0.
\bibitem{ann326} Announcement 326 (2016.10.17): The division by zero z/0=0 - its impact to human beings through education and research.
\bibitem{ann352} Announcement 352 (2017.2.2): On the third birthday of the division by zero z/0=0.
\bibitem{ann354} Announcement 354 (2017.2.8): What are $n = 2,1,0$ regular polygons inscribed in a disc? -- relations of $0$ and infinity.
\bibitem{362} Announcement 362 (2017.5.5): Discovery of the division by zero as $0/0=1/0=z/0=0$
\bibitem{380} Announcement 380 (2017.8.21): What is the zero?
\bibitem{388} Announcement 388 (2017.10.29): Information and ideas on zero and division by zero (a project).
\bibitem{409} Announcement 409 (2018.1.29.): Various Publication Projects on the Division by Zero.
\bibitem{410} Announcement 410 (2018.1 30.): What is mathematics? -- beyond logic; for great challengers on the division by zero.
\bibitem{412} Announcement 412 (2018.2.2.): The 4th birthday of the division by zero $z/0=0$.
\bibitem{433} Announcement 433 (2018.7.16.): Puha's Horn Torus Model for the Riemann Sphere From the Viewpoint of Division by Zero.
\bibitem{448} Announcement 448 (2018.8.20): Division by Zero; Funny History and New World.
\bibitem{454} Announcement 454 (2018.9.29): The International Conference on Applied Physics and Mathematics, Tokyo, Japan, October 22-23.
\bibitem{460} Announcement 460 (2018.11.06): Change the Poor Idea to the Definite Results For the Division by Zero - For the Leading Mathematicians.
\bibitem{461} Announcement 461 (2018.11.10): An essence of division by zero and a new axiom.
\bibitem{471} Announcement 471(2019.2.2): The 5th birthday of the division by zero $z/0=0$.
\bibitem{478} Announcement 478(2019.3.4): Who did derive first the division by zero $1/0$ and the division by zero calculus $\tan(\pi/2)=0, \log 0=0$ as the outputs of a computer?
\bibitem{540} Announcement 540(2020.2.2): The 6th birthday of the division by zero $z/0=0$.