novaBBS - sci.math - Calculus is the math. based on ignoring infinitesmal error.

Calculus is the math. based on ignoring infinitesmal error.

<53d7312a-dc8a-4164-9acd-575dfdf053fen@googlegroups.com>

https://www.novabbs.com/tech/article-flat.php?id=154140&group=sci.math#154140

X-Received: by 2002:a05:6214:b68:b0:681:7164:a0fa with SMTP id ey8-20020a0562140b6800b006817164a0famr420607qvb.11.1705491211189;
Wed, 17 Jan 2024 03:33:31 -0800 (PST)
X-Received: by 2002:a25:2d1:0:b0:dc2:1cd6:346e with SMTP id
200-20020a2502d1000000b00dc21cd6346emr1348850ybc.8.1705491210932; Wed, 17 Jan
2024 03:33:30 -0800 (PST)
Path: i2pn2.org!rocksolid2!news.neodome.net!fu-berlin.de!news-out.google.com!nntp.google.com!postnews.google.com!google-groups.googlegroups.com!not-for-mail
Newsgroups: sci.math
Date: Wed, 17 Jan 2024 03:33:30 -0800 (PST)
Injection-Info: google-groups.googlegroups.com; posting-host=124.218.76.41; posting-account=0Ek0TQoAAAAS0oceh95IuNV59QuIWNeN
NNTP-Posting-Host: 124.218.76.41
User-Agent: G2/1.0
MIME-Version: 1.0
Message-ID: <53d7312a-dc8a-4164-9acd-575dfdf053fen@googlegroups.com>
Subject: Calculus is the math. based on ignoring infinitesmal error.
From: wynii...@gmail.com (wij)
Injection-Date: Wed, 17 Jan 2024 11:33:31 +0000
Content-Type: text/plain; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

by: wij - Wed, 17 Jan 2024 11:33 UTC

Ignoring less significant value is common and necessary in engineering, but taking the infinitesimal as zero (a blunder, simply because there is no such thing as 'too small is zero' in logic) in
(real) number theory or beyond (some set theory) is just a blunder.

I did not polish this research and feel no need to, because I am busy for other interested things and decided to announce this result:
https://sourceforge.net/projects/cscall/files/MisFiles/NumberView-en.txt/download
From the (beginning) research, only the derivative of power function is
exactly correct (equation can be validly linked by '='). Others (exponential and trigonometric function) are 'infinitesimally 'close'
(this part of proof is incomplete).

P.S. I just point out one point for quick understanding: The dense property in rational number and real number are different, the procedure of reasoning (dense property) with the former must terminate, while the latter must not, although they are all infinite procedures. That's it, infinity refers to a procedure.

No line available at 300 baud.

tech / sci.math / Calculus is the math. based on ignoring infinitesmal error.

Subject	Author
Calculus is the math. based on ignoring infinitesmal error.	wij