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2021.08.31
カテゴリ： カテゴリ未分類
内田さん：
今朝 送ったの、既に公表されました。
角で微分可能、その微分が ゼロ除算算法で捉えられた。 楽しい、素晴らしいと ここずっと 喜んでいます。
微積分の授業では 必ず触れて欲しい。
内田さんの発見された 関数y= |x| の 微分可能性は素晴しく、内田の関数 と名付けたいですね。
周辺の研究を楽しむように 進めたい。 楽しいことが 一番大事です。
敬具
齋藤三郎
２０２１．８．３１．１２：３８
From:
Date: 2021年8月31日(火) 11:56
Subject: viXra submission 2108.0165v1
To:
To:
Subject: viXra submission 2108.0165v1
Thank you for your submission request to viXra.org
This is an automatically generated message but you may reply to contact viXra admin if there are any problems.
Your submission has now been uploaded and is available at http://viXra.org/abs/2108.0165
*** IF YOU DO NOT SEE IT THIS MAY BE DUE TO CACHING OF AN OLD PAGE IN YOUR WEB BROWSER. PLEASE CLEAR THE CACHE AND RELOAD THE PAGE WHILE HOLDING THE SHIFT OR CTRL KEY.
If you need to replace the document you should use the replacement form and enter the viXra number 2108.0165
If you need to make any changes on the abstract page without changing the PDf document (e.g. authors, title, comment, abstract), use the change web form.
Links to the forms are provided at http://vixra.org/submit
please note that viXra.org does not do cross-listings to other subject categories
The details of the submission were as follows:
request reference: 12678426
request timestamp: 2021-08-30 22:31:23
viXra citation number: 2108.0165
latest version: v1
subject category: Functions and Analysis
Title: Differential Coefficients at Corners and Division by Zero Calculus
Authors: Saburou Saitoh, Keitaroh Uchida
Abstract:
For a $C_1$ function $y=f(x)$ except for an isolated point $x=a$ having $f^\prime(a-0)$ and $f^\prime(a+0)$, we shall introduce its natural differential coefficient at the singular point $x=a$. Surprisingly enough, the differential coefficient is given by the division by zero calculus and it will give the gradient of the natural tangential line of the function $y=f(x)$ at the point $x=a$.
Comments:
5 Pages.
Thank you for using our service at viXra.org
Regards, the viXra admin
今朝 送ったの、既に公表されました。
角で微分可能、その微分が ゼロ除算算法で捉えられた。 楽しい、素晴らしいと ここずっと 喜んでいます。
微積分の授業では 必ず触れて欲しい。
内田さんの発見された 関数y= |x| の 微分可能性は素晴しく、内田の関数 と名付けたいですね。
周辺の研究を楽しむように 進めたい。 楽しいことが 一番大事です。
敬具
齋藤三郎
２０２１．８．３１．１２：３８
From:
Date: 2021年8月31日(火) 11:56
Subject: viXra submission 2108.0165v1
To:
To:
Subject: viXra submission 2108.0165v1
Thank you for your submission request to viXra.org
This is an automatically generated message but you may reply to contact viXra admin if there are any problems.
Your submission has now been uploaded and is available at http://viXra.org/abs/2108.0165
*** IF YOU DO NOT SEE IT THIS MAY BE DUE TO CACHING OF AN OLD PAGE IN YOUR WEB BROWSER. PLEASE CLEAR THE CACHE AND RELOAD THE PAGE WHILE HOLDING THE SHIFT OR CTRL KEY.
If you need to replace the document you should use the replacement form and enter the viXra number 2108.0165
If you need to make any changes on the abstract page without changing the PDf document (e.g. authors, title, comment, abstract), use the change web form.
Links to the forms are provided at http://vixra.org/submit
please note that viXra.org does not do cross-listings to other subject categories
The details of the submission were as follows:
request reference: 12678426
request timestamp: 2021-08-30 22:31:23
viXra citation number: 2108.0165
latest version: v1
subject category: Functions and Analysis
Title: Differential Coefficients at Corners and Division by Zero Calculus
Authors: Saburou Saitoh, Keitaroh Uchida
Abstract:
For a $C_1$ function $y=f(x)$ except for an isolated point $x=a$ having $f^\prime(a-0)$ and $f^\prime(a+0)$, we shall introduce its natural differential coefficient at the singular point $x=a$. Surprisingly enough, the differential coefficient is given by the division by zero calculus and it will give the gradient of the natural tangential line of the function $y=f(x)$ at the point $x=a$.
Comments:
5 Pages.
Thank you for using our service at viXra.org
Regards, the viXra admin
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