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とても興味深く読みました：
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 ?).
汝ゼロで割ってはならないの数学十戒第一は覆されて、ゼロで割って、新世界が現れた、ゼロで割ることができて、アリストテレス、ユークリッド以来の新数学、新世界が現れた。 象徴的な例は、 1/0=0/0=z/0= tan(\pi/2) =log 0 =0 and z^n/n = log z for n=0。 基本的な関数 y=1/x の原点に於ける値は ゼロである。無限遠点がゼロで表される。ゼロの意味の新しい発見である。
余りにも 簡明なゼロ除算の解説が現れて、世の人々は、驚き、困惑されないでしょうか。
小学生にも 十分にわかるのではないでしょうか。 家族で、学校で 議論したい：
２０２０．１０．１２．１７：５５
Dividing integer Numbers:
A mother invites kids to dinner. She cooks beans. She has M beans in her pot. Now she wants to share the beans fairly among the kids. Her math is very natural; she can only count. So she goes around the table and always gives the K kids sitting at the table a bean on their plate. She repeats this until all of the beans are distributed. Now it can happen that some children have one bean less than the other. That's unfair! So she gathers the excess beans back into her pot, which will contain m beans after the division. Now everyone is satisfied and you can draw up a balance sheet:
M: number of beans in the mother's pot before division
m: number of beans in the mother's pot after division
K: number of kids
k: number of beans on the kid's plate after division
M = k*K + m
Special case: M < K
There are more kids at the table than beans in the pot. To be fair, the mother has to collect all the beans back into their pot. The kids were given nothing to eat.
m = M
k = 0
Special case: K = 0
There are no kids at the table. After the division procedure, the mother still has m = M beans in her pot, just as in the case of M < K above. She sees no difference between these two cases, the pot is still full. Thus k = 0, the kids were given nothing to eat.
This is the famous problem that SABUROU SAITOH solved.
Special case: M >>> 1, K << M
Many beans were cooked in mother's pot and the kids were given a large number of beans on their plates. The beans look more and more like a bean soup. It looks like continuous .
Private note for SABUROU SAITOH by Wolfhard Hovel
(2020.10.9.17:10)
0/0は数学的にundefinedなんですが、undefinedの日本語訳として「未定義」というのが個人的にあまり好きでなくて「定義されてない」とするようにしてます。「未」だとnot yetのニュアンスがあり、将来的に定義されるのかと思われそうなので。
数学では、自由に考える必要が有ります。できないとしてしまえば それでお終いです。そこで数学の歴史は、不可能、できなことをできるように考えて来た歴史があります。
0/0とか1/0の問題はもう10年くらい前からウォッチしてて、知恵袋で質問がでて間違いだらけの回答がベストアンサーになってたりしました。
https://twitter.com/hamukazu/status/1353165434376183808
いやゼロ除算は究極的に言えば国語だよ正解ないんだから難しいが正しいんだよ
https://twitter.com/enst_wan/status/1353331890573299717
数学の世界は相当に絶対的で、どのような質問にも答えられるようになっています。 今日の声明で、ゼロ除算 当たり前であることを述べましたが、素人にも分かるように述べた積りですが 如何でしょうか：
\documentclass[12pt]{article}
\usepackage{latexsym,amsmath,amssymb,amsfonts,amstext,amsthm}
\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,\\
Kiryu 376-0041, Japan\\
{\bf [email protected]}\\
}
\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
https://media.cmd.gunma-u.ac.jp/media/Play/ef7ca967c3fd4dabb188128fd6038cb81d
\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.}
\bigskip
\bibliographystyle{plain}
\begin{thebibliography}{10}
\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. https://www.scirp.org/journal/alamt
\\ https://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. https://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. https://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 $z/0=0$.
\end{thebibliography}
\end{document}再生核研究所声明 601(2021.1.25) ゼロの意味の発見、気づいてみれば ゼロ除算は常識的にも当たり前だった、
しかしながら、世界観の変更が要求されている
結構永い間、数年議論しても、ゼロ除算が理解できない人が交流仲間で 尚数名いる。それで、ゼロ除算7周年を間近かにしてその理由がハッとして気づいた。ゼロの概念が無いからと表現できる （ ― No. 1176: ゼロベクトル：
ゼロの意味： 偉大な人物：
ゼロ除算について 数年経っても理解できない人がいる。 今朝 はっきり理解できたことがある。それは、ゼロの概念を 今だ得ていない人の発想だと 理解した。べクトルとは 大きさと方向を持つ量である と考える。しかしながら、ゼロベクトルを考える必要性が 数学では、既に常識として存在する。すると、ゼロベクトルの方向は何か と問えば、既に 数学では矛盾、おかしいとなってしまう。そこで、ゼロベクトルの方向は ゼロである と宣言するのが 適当である。それは、ゼロの新しい意味です。ゼロ除算の発見で、何と 畏れ多い 同僚？ は ゼロ除算は、ゼロの意味の新しい発見であると述べられ、著書の出版を勧めてくれましたから、凄い方がおられます。 日本には。これは新しい知見 ２０２１．１．２３．１０：１４）
また、次を考えよう：
I can give you zero dollar.
What does it mean by zero?
We will consider the division of the plane by $n$ lines in the general position. Then, the number of the formed domains are given by the formula
$$
F(n) = \frac{1}{2}(n^2 + n+ 2).
$$
For $n=0$, we have $F(0)=1$; that means that we do not divide the plane.
Similarly, we will consider the division $F(n)$ of the space ${\bf R^3}$ by $n$ planes with general positions, then we have:
$$
F(1) = 2
$$
and
$$
F(n+1) = F(n) + \frac{1}{2} (n^2 +n + 2).
$$
Therefore, for $n=0$,
$$
F(1) = F(0) + 1
$$
and therefore,
$$
F(0) =1;
$$
that is, $0$-division means that we do not divide.
これらから、ゼロで割るということは 割らないことを意味することが分る。 ですから、100/0 とは 100を割らないのですから、 割られて割り当てられる数は 当然無く、100/0=0 と当たり前になってしまいます。
有名なバースカラの例
viXra:1904.0028 submitted on 2019-04-02 20:08:20,
Division by Zero and Bh\={a}skara's Example
影の長さについて、影が できない場合の長さについて、疑問を持ち、神秘的な気持ちにさせられたり、その場合無限大と1000年以上も考えてきましたが、影ができない場合の長さはゼロです。空集合の測度はゼロです。 それはゼロの意味、概念に含まれます。
クテシビオスの例
viXra:1902.0187 submitted on 2019-02-10 22:40:35,
The Simple and Typical Physical Examples of the Division by Zero 1/0=0 by Ctes\'ibio (BC. 286-222) and e. Torricelli (1608-1646)
でも、 断面積Sがゼロの場合、 流体の流れの問題に背馳するという考えを懐く人は ゼロの概念を今だ有しておられない方と考えられる。 それを考えるのが ゼロの概念の本質ではないでしょうか。
2 - 2=0; 同じ数を引けば、答えは数学でゼロですが、人は考える。 同じものを引いたら、空っぽ、それは数字ではないと考える人が今の時代にもいる。しかしながら、それでもゼロには面白い性質があると考えられる。
新時代を拓くためにも ゼロ除算は、世界の常識として、1/0=0 として可能であり、世界の学術書の変更を行い、世界の計算機をゼロ除算可能にして、ゼロ除算算法を実装したい ― 令和革新の大義。
以 上
№1176
Dividing by Nothing by Alberto Martinez
Title page of Leonhard Euler, Vollst?ndige 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.
https://notevenpast.org/dividing-nothing/ より
The Road
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
https://thethirty-ninesteps.com/page_5-the_road.php より
mercredi, juillet 06, 2011
0/0, la célèbre formule d'Evariste Galois !
https://divisionparzero.blogspot.jp/2011/07/00-la-celebre-formule-devariste-galois.html より
無限に関する様々な数学的概念：無限大 ：記号∞ （アーベルなどはこれを 1 / 0 のように表記していた）で表す。 大雑把に言えば、いかなる数よりも大きいさまを表すものであるが、より明確な意味付けは文脈により様々である。https://ja.wikipedia.org/wiki/%E7%84%A1%E9%99%90 より
リーマン球面：無限遠点が、実は 原点と通じていた。
https://ja.wikipedia.org/wiki/%E3%83%AA%E3%83%BC%E3%83%9E%E3%83%B3%E7%90%83%E9%9D%A2 より
https://jestingstock.com/indian-mathematician-brahmagupta-image.html より
ブラーマグプタ（Brahmagupta、598年 – 668年?）はインドの数学者?天文学者。ブラマグプタとも呼ばれる。その著作は、イスラーム世界やヨーロッパにインド数学や天文学を伝える役割を果たした。
628年に、総合的な数理天文書『ブラーマ?スプタ?シッダーンタ』（????????????????????? Brāhmasphu?asiddhānta）を著した。この中の数章で数学が扱われており、第12章はガニタ（算術）、第18章はクッタカ（代数）にあてられている。クッタカという語は、もとは「粉々に砕く」という意味だったが、のちに係数の値を小さくしてゆく逐次過程の方法を意味するようになり、代数の中で不定解析を表すようになった。この書では、 0 と負の数にも触れていて、その算法は現代の考え方に近い（ただし 0 ÷ 0 ＝ 0 と定義している点は現代と異なっている）
https://ja.wikipedia.org/wiki/%E3%83%96%E3%83%A9%E3%83%BC%E3%83%9E%E3%82%B0%E3%83%97%E3%82%BFより
ブラーマ?スプタ?シッダーンタ (Brahmasphutasiddhanta) は、7世紀のインドの数学者?天文学者であるブラーマグプタの628年の著作である。表題は宇宙の始まりという意味。
数としての「0（ゼロ）の概念」がはっきりと書かれた、現存する最古の書物として有名である。https://ja.wikipedia.org/wiki/%E3%83%96%E3%83%A9%E3%83%BC%E3%83%9E%E3%83%BB%E3%82%B9%E3%83%97%E3%82%BF%E3%83%BB%E3%82%B7%E3%83%83%E3%83%80%E3%83%BC%E3%83%B3%E3%82%BF より
ゼロ除算の歴史：ゼロ除算はゼロで割ることを考えるであるが、アリストテレス以来問題とされ、ゼロの記録がインドで初めて６２８年になされているが、既にそのとき、正解1/0が期待されていたと言う。しかし、理論づけられず、その後１３００年を超えて、不可能である、あるいは無限、無限大、無限遠点とされてきたものである。
An Early Reference to Division by Zero C. B. Boyer
https://www.fen.bilkent.edu.tr/~franz/M300/zero.pdf
Impact of ‘Division by Zero’ in Einstein’s Static Universe and Newton’s Equations in Classical Mechanics：https://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/2084 より
神秘的に美しい3つの公式：
面白い事にゼロ除算については、いろいろな説が現在存在します
しかし、間もなく決着がつくのではないでしょうか。
ゼロ除算は、なにもかも当たり前ではないでしょうか。
ラース?ヴァレリアン?アールフォルス（Lars Valerian Ahlfors、1907年4月18日-1996年10月11日）はフィンランドの数学者。リーマン面の研究と複素解析の教科書を書いたことで知られる。https://ja.wikipedia.org/wiki/%E3%83%A9%E3%83%BC%E3%82%B9%E3%83%BB%E3%83%B4%E3%82%A1%E3%83%AC%E3%83%AA%E3%82%A2%E3%83%B3%E3%83%BB%E3%82%A2%E3%83%BC%E3%83%AB%E3%83%95%E3%82%A9%E3%83%AB%E3%82%B9
フィールズ賞第一号
COMPLEX ANALYSIS, 3E (International Series in Pure and Applied Mathematics) (英語) ハードカバー – 1979/1/1
Lars Ahlfors (著)
原点の円に関する鏡像は、実は 原点であった。
本では、無限遠点と考えられていました。
Ramanujan says that answer for 0/0 is infinity. But I'm not sure it's ...
https://www.quora.com/Ramanujan-says-that-answer-for-0-0-is-infi...
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. ... So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by ...
Abel Memorial in Gjerstad
Discussions: Early History of Division by Zero
H. G. Romig
The American Mathematical Monthly
Vol. 31, No. 8 (Oct., 1924), pp. 387-389
Published by: Mathematical Association of America
DOI: 10.2307/2298825
Stable URL: https://www.jstor.org/stable/2298825
Page Count: 3
ロピタルの定理 (ロピタルのていり、英: l'H?pital's rule) とは、微分積分学において不定形 (en) の極限を微分を用いて求めるための定理である。綴りl'H?pital / l'Hospital、カタカナ表記ロピタル / ホスピタルの揺れについてはギヨーム?ド?ロピタルの項を参照。ベルヌーイの定理 (英語: Bernoulli's rule) と呼ばれることもある。本定理を (しばしば複数回) 適用することにより、不定形の式を非不定形の式に変換し、その極限値を容易に求めることができる可能性がある。https://ja.wikipedia.org/wiki/%E3%83%AD%E3%83%94%E3%82%BF%E3%83%AB%E3%81%AE%E5%AE%9A%E7%90%86
Ein aufleuchtender Blitz: Niels Henrik Abel und seine Zeit
https://books.google.co.jp/books?isbn=3642558402 -
Arild Stubhaug - 2013 - ?Mathematics
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. ... Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich gro?e Teile aufteilen l?sst. ... Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0
2016/12/02 に公開
You've all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious "forbidden" expressions like 0/0 and 1^∞ as well as Apple's Siri and Sir Isaac Newton.
https://www.youtube.com/watch?v=oc0M1o8tuPo より
ゼロ除算の論文：
file:///C:/Users/saito%20saburo/Downloads/P1-Division.pdf より
Eulerのゼロ除算に関する想い：
file:///C:/Users/saito%20saburo/Downloads/Y_1770_Euler_Elements%20of%20algebra%20traslated%201840%20l%20p%2059%20(1).pdf より
An Approach to Overcome Division by Zero in the Interval Gauss Algorithm
https://link.springer.com/article/10.1023/A:1015565313636
Carolus Fridericus Gauss：https://www.slideshare.net/fgz08/gauss-elimination-4686597
Archimedes：Arbelos
https://www.math.nyu.edu/~crorres/Archimedes/Stamps/stamps.html より
Archimedes Principle in Completely Submerged Balloons: Revisited
Ajay Sharma：
file:///C:/Users/saito%20saburo/Desktop/research_papers_mechanics___electrodynamics_science_journal_3499.pdf
［PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein
https://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222
このページを訳す
0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when ... Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein - The General ...
gsjournal.net/Science-Journals/Communications.../5503
このページを訳す
old Archimedes Principle, Newton' s law, Einstein 's mass energy equation. E=mc2 . .... filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V .....
https://gsjournal.net/Science-Journals/Communications-Mechanics%20/%20Electrodynamics/Download/5503
Find circles that are tangent to three given circles (Apollonius’ Problem) in C#
ゼロ除算に関する詩：
The reason we cannot devide by zero is simply axiomatic as Plato pointed out.
https://mathhelpforum.com/algebra/223130-dividing-zero.html より
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