2018年7月13日金曜日

Remembering Jean Picard, whose work inspired Sir Isaac Newton to establish the gravitational force

Remembering Jean Picard, whose work inspired Sir Isaac Newton to establish the gravitational force

ean Picard, a French astronomer, who was the first to measure land using telescope to determine latitude, passed away on July 12, 1682, in Paris.
His remarkable achievements in measuring the length of a degree of a meridian (longitude line) and computing the size of the Earth influenced the who's who in the world of great thinkers and philosophers such as Sir Isaac Newton.
To be precise, Newton used Picard's measurements of the Earth to establish his theory of gravitation.

JEAN PICARD'S WORKS

  • In 1669, Picard was the first astronomer to use a telescope to know the measurement of a latitude and to measure angles in triangulation consisting 13 triangles
  • The French government was so much impressed by his work that they decided to triangulate the entire country
  • This idea was further adapted by the British government which was then ruling the Indian subcontinent, where the task of measuring land was named as the Great Trigonometric Survey in 1800. This project lasted till 1913 and helped in finding the tallest mountain on Earth-Peak XV, or Mount Everest
  • Picard's observation was also used by Newton in his theoretical calculations to prove the force of attraction that connects the Earth and moon
  • In 1671, Picard went to the observatory of Danish astronomer Tycho Brahe in Sweden to determine its location in order to compare Brahe's observations with those made somewhere else
  • He added another feather to his cap of achievements by introducing the use of pendulum clocks
  • In 1675, he brought in notice the barometric light, the light which is visible in the vacuum above the mercury in barometer
  • In 1679, he founded the first national astronomical ephemeris -- La Connaissance des temps ou des movements célestes ("Knowledge of Time or the Celestial Motions")
  • Picard started his career as a professor at the Collège de France, Paris, in 1655.



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:
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

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\begin{document}
\title{\bf  Announcement 409:  Various Publication Projects on the Division by Zero\\
(2018.1.29.)}
\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 Aristoteles (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 Brhmasphuasiddhnta (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 two global book manuscripts \cite{s18} with 154 pages and \cite{so18} with many figures for some general people. Their main points are:

\begin{itemize}

\item The division by zero and division by zero calculus are new elementary and fundamental mathematics in the undergraduate level.

\item They introduce a new space   since Aristoteles (BC384 - BC322) and Euclid (BC 3 Century - ) with many exciting new phenomena and properties with general interest, not specialized and difficult topics. However, their properties are mysterious and very attractive.

\item  The contents are very elementary,  however  very exciting with general interest.

\item The contents give great impacts to our basic ideas on the universe and  human beings.

\end{itemize}

Meanwhile, the representations of the contents are very important and delicate with delicate feelings to the division by zero with a long and mysterious history. Therefore, we hope the representations of the division by zero as follows:

\begin{itemize}

\item

Various book publications by many native languages and with the author's idea and feelings.

\item

Some publications are like arts and some comic style books with pictures.

\item

Some T shirts design, some pictures, monument design may be considered.

\end{itemize}

The authors above may be expected to contribute to our culture,  education, common communications and enjoyments.
\medskip

For the people having the interest on the above projects, we will send our book sources with many figure files.

\medskip

 How will be our project introducing our new world since Euclid?

\medskip

Of course, as mathematicians we have to publish new books on

\medskip

Calculus,  Differential Equations and Complex Analysis, at least and soon, in order to {\bf correct them} in some complete and beautiful ways.

\medskip

Our topics will be interested in over 1000 millions people over the world on the world history.


\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{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{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{so18}
S. Saitoh and H. Okumura, Division by Zero Calculus in Figures --  Our New Space --


\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}

 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


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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
                                                                                                                                             

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

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