2018年11月8日木曜日

Now, Vedic science

Now, Vedic science

Print edition : November 23, 2018T+ T-
Engineering students across the country will be introduced to a new kind of “science fiction” in the next academic year, thanks to the All India Council of Technical Education (AICTE). The council has approved the introduction of “Bharatiya Vidya Saar”, a book published by the Bharatiya Vidya Bhavan, in the elective course in 3,000-odd technical colleges, in what is seen as an attempt to instil pride and awareness about India's fabled past so that they are not swept off their feet by the advancements in science and technology in the West.
The objective might be laudable, but the claims made in “Bharatiya Vidya Saar”, edited by Dr Shashibala, have drawn flak. Ankit Sule, a Mumbai-based scientist with the Homi Bhabha Centre for Science Education, started an online petition, addressed to AICTE Chairman Anil Sahasrabuddhe, demanding that the book be withdrawn as a reference book. Calling it “pseudo scientific”, he expressed the fear that if the proposal to introduce the book was implemented, “gullible institutions may end up teaching misinformation to thousands of students”.
When Sule talks of “misinformation”, he is on a sound wicket. In fact, “Bharatiya Vidya Saar” can be fairly targeted for spreading disinformation or plain fiction as facts of science. Sample this: The book claims that Rig Veda talks accurately of the speed of light. The Veda talks, too, of the theory of gravitation much before Isaac Newton was born.
That is not all. Saint Agastya, it claims, invented the electro-voltaic cell and gave the method of electrolysis to produce oxygen and hydrogen from water. He was not the only saint in ancient India to be gifted with rare scientific insight. Rishi Kanad is said to have discussed different types of motion, including the laws of motion in “Vaisheshik Sutra”, long before the world of science became familiar with them thanks to Newton.
The book claims: “The Vaimanika Shastra was written by Rishi Bharadwaj about 5,000 years ago. It is an authoritative text on not just construction of airplanes but also on navigation, aviation fuels and pilot preparation.”
Sule’s online petition was countered by Shashibala with a petition of her own about “The Right to Know Indian Knowledge Systems”. Sahasrabuddhe, among others, has signed the petition. The book is said to have been vetted by a committee. But it has failed to impress the academic community. Scientists and historians are laughing at the claims made in the book as “fanciful”. Academics see it as an extension of the attempts to toy with history.
The historian Prof. Aditya Mukherjee questions the very premise of such a course. “This is a false and negative way of trying to create 'nationalism'. They are trying to be nationalists by saying India was great in the past, [when] all scientific breakthroughs took place. The NCERT [National Council for Education Research and Training] had warned about this kind of wild drive into the past as being responsible for creating morons in the student community. Amartya Sen had said almost the same thing in ‘The Argumentative Indian’. He said, ‘India did achieve great breakthroughs in the past, in mathematics, astronomy, etc. These breakthroughs happened during a period when India was open to all winds of change from across the world, including what they say, the Muslim period or the Muslim world.’”https://www.frontline.in/the-nation/article25437649.ece

ゼロ除算の発見は日本です:
∞???    
∞は定まった数ではない・
人工知能はゼロ除算ができるでしょうか:

とても興味深く読みました:2014年2月2日 4周年を超えました:
ゼロ除算の発見と重要性を指摘した:日本、再生核研究所


ゼロ除算関係論文・本

\documentclass[12pt]{article}
\usepackage{latexsym,amsmath,amssymb,amsfonts,amstext,amsthm}
\numberwithin{equation}{section}
\begin{document}
\title{\bf  Announcement 460:  Change the Poor Idea to the Definite Results For the Division by Zero --  For the Leading Mathematicians}
\author{{\it Institute of Reproducing Kernels}\\
kbdmm360@yahoo.co.jp
 }
\date{2018.11.08}
\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 based on the new concept of division by zero calculus: for the function $f(z) = 1/z$
$$
f(0) = 0
$$
 since Aristotelēs (BC384 - BC322) and Euclid (BC 3 Century - ), and the division by zero is since Brahmagupta  (598 - 668 ?).
In particular,  Brahmagupta defined as $0/0=0$ in Brāhmasphuṭasiddhānta (628), however, our world history stated that his definition $0/0=0$ is wrong over 1300 years, but, we showed that his definition is suitable.
 For the details, see the site: http://okmr.yamatoblog.net/
\medskip

In the international conference:
\medskip

http://www.meetingsint.com/conferences/\\appliedphysics-mathematics\\Applied Physics and Mathematics Conference 2018\\
\medskip

\noindent
we  presented the basic results on  October 23 and
for the details,  see the references with the talk sheets:  saburousaitoh
181102.pdf :

{\Huge \bf

Close the mysterious and long history of division by zero and \\ open the new world\\ since Aristoteles-Euclid:\\ $1/0=0/0=z/0= \tan (\pi/2)=0$\\
}
and the abstract: 201810.23abstract.
\bigskip

Particularly, note that the division by zero calculus is a fundamental definition based on the basic assumption that may be considered as a new axiom for its importance.

As stated
by some physicist
\medskip

{\it Here is how I see the problem with prohibition on division by zero,
which is the biggest scandal in modern mathematics as you rightly pointed
out} (2017.10.14.08:55),
\medskip

\noindent
it seems that the long history of the division by zero is our shame and our mathematics in the elementary level has basic missings. Meanwhile, we have still  great confusions and wrong ideas on the division by zero. Therefore, we would like to ask for the good corrections for the wrong ideas and some official approval for our division by zero as our basic duties.


\bibliographystyle{plain}
\begin{thebibliography}{10}


\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{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{o}
H. Okumura, Wasan geometry with the division by 0. https://arxiv.org/abs/1711.06947 International  Journal of Geometry.

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

\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.


\end{thebibliography}

\end{document}


\documentclass[12pt]{article}
\usepackage{latexsym,amsmath,amssymb,amsfonts,amstext,amsthm}
\numberwithin{equation}{section}
\begin{document}
\title{\bf  Announcement 412:  The 4th birthday of the division by zero $z/0=0$ \\
(2018.2.2)}
\author{{\it Institute of Reproducing Kernels}\\
Kawauchi-cho, 5-1648-16,\\
Kiryu 376-0041, Japan\\
 }
\date{\today}
\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 Aristotelēs (BC384 - BC322) and Euclid (BC 3 Century - ), and the division by zero is since Brahmagupta  (598 - 668 ?).
In particular,  Brahmagupta defined as $0/0=0$ in Brāhmasphuṭasiddhānta (628), however, our world history stated that his definition $0/0=0$ is wrong over 1300 years, but, we showed that his definition is suitable.
 For the details, see the references and the site: http://okmr.yamatoblog.net/

We wrote a global book manuscript \cite{s18} with 154 pages
 and stated in the preface and last section of the manuscript as follows:
\bigskip


{\bf Preface}
\medskip

 The division by zero has a long and mysterious story over the world (see, for example, H. G. Romig \cite{romig} and Google site with the division by zero) with its physical viewpoints since the document of zero in India on AD 628. In particular, note that Brahmagupta (598 -668 ?) established the four arithmetic operations by introducing $0$ and at the same time he defined as $0/0=0$ in
Brhmasphuasiddhnta. Our world history, however, stated that his definition $0/0=0$ is wrong over 1300 years, but, we will see that his definition is right and suitable.

 The division by zero $1/0=0/0=z/0$ itself will be quite clear and trivial with several natural extensions of the fractions against the mysterously long history, as we can see from the concepts of the Moore-Penrose generalized inverses or the Tikhonov regularization method to the fundamental equation $az=b$, whose solution leads to the definition $z =b/a$.

  However, the result (definition) will show that
      for the elementary mapping
\begin{equation}
W = \frac{1}{z},
\end{equation}
the image of $z=0$ is $W=0$ ({\bf should be defined from the form}). This fact seems to be a curious one in connection with our well-established popular image for the  point at infinity on the Riemann sphere (\cite{ahlfors}). �As the representation of the point at infinity of the Riemann sphere by the
zero $z =  0$, we will see some delicate relations between $0$ and $\infty$ which show a strong
discontinuity at the point of infinity on the Riemann sphere. We did not consider any value of the elementary function $W =1/ z $ at the origin $z = 0$, because we did not consider the division by zero
$1/ 0$ in a good way. Many and many people consider its value by the limiting like $+\infty $ and  $- \infty$ or the
point at infinity as $\infty$. However, their basic idea comes from {\bf continuity} with the common sense or
based on the basic idea of Aristotle.  --
 For the related Greece philosophy, see \cite{a,b,c}. However, as the division by zero we will consider its value of
the function $W =1 /z$ as zero at $z = 0$. We will see that this new definition is valid widely in
mathematics and mathematical sciences, see  (\cite{mos,osm}) for example. Therefore, the division by zero will give great impacts to calculus, Euclidean geometry, analytic geometry, differential equations,  complex analysis in the undergraduate level and to our basic ideas for the space and universe.

We have to arrange globally our modern mathematics in our undergraduate level. Our common sense on the division by zero will be wrong, with our basic idea on the space and the universe since Aristotle and Euclid. We would like to show clearly these facts in this book. The content is in the undergraduate level.

\bigskip
\bigskip

{\bf Conclusion}
\medskip


 Apparently, the common sense on the division by zero with a long and mysterious history is wrong and our basic idea on the space around the point at infinity is also wrong since Euclid. On the gradient or on derivatives we have a great missing since $\tan (\pi/2) = 0$. Our mathematics is also wrong in elementary mathematics on the division by zero.

This book is an elementary mathematics  on our division by zero as the first publication of  books for the topics. The contents  have wide connections to various fields beyond mathematics. The author expects the readers write some philosophy, papers and essays on the division by zero from this simple source book.

The division by zero theory may be developed and expanded greatly as in the author's conjecture whose break theory was recently given surprisingly and deeply by  Professor Qi'an Guan \cite{guan} since 30 years proposed  in \cite{s88} (the original is in \cite {s79}).

We have to arrange globally our modern mathematics with our division by zero  in our undergraduate level.

We have to change our basic ideas for our space and world.

We have to change globally our textbooks and scientific books on the division by zero.






\bibliographystyle{plain}
\begin{thebibliography}{10}

\bibitem{ahlfors}
L. V. Ahlfors, Complex Analysis, McGraw-Hill Book Company, 1966.


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

\bibitem{guan}
Q.  Guan,  A proof of Saitoh's conjecture for conjugate Hardy H2 kernels, arXiv:1712.04207.


\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{ms18}
T. Matsuura and S. Saitoh,
Division by zero calculus and singular integrals. (Submitted for publication)

\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.

\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, 2017), 1-16.


\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{o}
H. Okumura, Wasan geometry with the division by 0. https://arxiv.org/abs/1711.06947 International  Journal of Geometry.

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

\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.

\bibitem{romig}
H. G. Romig, Discussions: Early History of Division by Zero,
American Mathematical Monthly, Vol. {\bf 3}1, No. 8. (Oct., 1924), pp. 387-389.


\bibitem{s79}
S. Saitoh, The Bergman norm and the Szeg$\ddot{o}$ norm, Trans. Amer. Math. Soc. {\bf 249} (1979), no. 2, 261--279.

\bibitem{s88}
 S. Saitoh, Theory of reproducing kernels and its applications. Pitman Research Notes in Mathematics Series, {\bf 189}. Longman Scientific \& Technical, Harlow; copublished in the United States with John Wiley \& Sons, Inc., New York, 1988. x+157 pp. ISBN: 0-582-03564-3

\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. (Springer) .

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

\bibitem{s18}
S. Saitoh, Division by zero calculus (154 pages: draft): (http://okmr.yamatoblog.net/)

\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{a}
https://philosophy.kent.edu/OPA2/sites/default/files/012001.pdf

\bibitem{b}
http://publish.uwo.ca/~jbell/The 20Continuous.pdf

\bibitem{c}
http://www.mathpages.com/home/kmath526/kmath526.htm



\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.


\end{thebibliography}

\end{document}


List of division by zero:

\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.

Saburou Saitoh, Mysterious Properties of the Point at Infinity、
arXiv:1712.09467 [math.GM]

Hiroshi Okumura and Saburou Saitoh
The Descartes circles theorem and division by zero calculus. 2017.11.14

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

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.

T. Matsuura and S. Saitoh,
Matrices and division by zero z/0=0,
Advances in Linear Algebra \& Matrix Theory, 2016, 6, 51-58
Published Online June 2016 in SciRes. http://www.scirp.org/journal/alamt
\\ http://dx.doi.org/10.4236/alamt.2016.62007.

T. Matsuura and S. Saitoh,
Division by zero calculus and singular integrals. (Submitted for publication).

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.)

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

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

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

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

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/

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) .


再生核研究所声明371(2017.6.27)ゼロ除算の講演― 国際会議 https://sites.google.com/site/sandrapinelas/icddea-2017 報告


1/0=0、0/0=0、z/0=0
http://ameblo.jp/syoshinoris/entry-12276045402.html
1/0=0、0/0=0、z/0=0
http://ameblo.jp/syoshinoris/entry-12263708422.html
1/0=0、0/0=0、z/0=0

ソクラテス・プラトン・アリストテレス その他


Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.

私は数学を信じない。 アルバート・アインシュタイン / I don't believe in mathematics. Albert Einstein→ゼロ除算ができなかったからではないでしょうか。

ドキュメンタリー 2017: 神の数式 第2回 宇宙はなぜ生まれたのか


〔NHKスペシャル〕神の数式 完全版 第3回 宇宙はなぜ始まったのか


〔NHKスペシャル〕神の数式 完全版 第1回 この世は何からできているのか

NHKスペシャル 神の数式 完全版 第4回 異次元宇宙は存在するか

                                                 
再生核研究所声明 411(2018.02.02):  ゼロ除算発見4周年を迎えて

ゼロ除算の論文

Mysterious Properties of the Point at Infinity

Algebraic division by zero implemented as quasigeometric multiplication by infinity in real and complex multispatial hyperspaces
Author: Jakub Czajko, 92(2) (2018) 171-197
https://img-proxy.blog-video.jp/images?url=http%3A%2F%2Fwww.worldscientificnews.com%2Fwp-content%2Fplugins%2Ffiletype-icons%2Ficons%2F16%2Ffile_extension_pdf.pngWSN 92(2) (2018) 171-197
                                                                                                                                             

2018.3.18.午前中 最後の講演: 日本数学会 東大駒場、函数方程式論分科会 講演書画カメラ用 原稿
The Japanese Mathematical Society, Annual Meeting at the University of Tokyo. 2018.3.18.
https://ameblo.jp/syoshinoris/entry-12361744016.html より


*057  Pinelas,S./Caraballo,T./Kloeden,P./Graef,J.(eds.):
       Differential and Difference Equations with Applications:
        ICDDEA, Amadora, 2017.
           (Springer Proceedings in Mathematics and Statistics, Vol. 230)
             May 2018       587 pp. 


ゼロ除算の論文が2編、出版になりました:

ICDDEA: International Conference on Differential & Difference Equations and Applications
Differential and Difference Equations with Applications
ICDDEA, Amadora, Portugal, June 2017
• Editors

• (view affiliations)
• Sandra Pinelas
• Tomás Caraballo
• Peter Kloeden
• John R. Graef
Conference proceedingsICDDEA 2017

log0=log∞=0log⁡0=log⁡∞=0 and Applications
Hiroshi Michiwaki, Tsutomu Matuura, Saburou Saitoh
Pages 293-305

Division by Zero Calculus and Differential Equations
Sandra Pinelas, Saburou Saitoh
Pages 399-418

ゼロ除算(division by zero)1/0=0、0/0=0、z/0=0

2018年05月28日(月)
テーマ:数学
これは最も簡単な 典型的なゼロ除算の結果と言えます。 ユークリッド以来の驚嘆する、誰にも分る結果では ないでしょうか?
                                                                      
Hiroshi O. Is It Really Impossible To Divide By Zero?. Biostat Biometrics Open Acc J. 2018; 7(1): 555703.  DOI: 10.19080/BBOJ.2018.07.555703
ゼロで分裂するのは本当に不可能ですか? - Juniper Publishers         




Eπi =-1 (1748)(Leonhard Euler)
1/0=0/0=0 (2014年2月2日再生核研究所)


1+1=2  (      )
a2+b2=c2 (Pythagoras)
1/0=0/0=0(2014年2月2日再生核研究所)


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