From mboxrd@z Thu Jan 1 00:00:00 1970 X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on polar.synack.me X-Spam-Level: X-Spam-Status: No, score=-1.9 required=5.0 tests=BAYES_00,LOTS_OF_MONEY autolearn=ham autolearn_force=no version=3.4.4 X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 103376,cc4f25d878383cc X-Google-Attributes: gid103376,public X-Google-ArrivalTime: 2001-12-11 17:43:04 PST Path: archiver1.google.com!news1.google.com!newsfeed.stanford.edu!news-spur1.maxwell.syr.edu!news.maxwell.syr.edu!fu-berlin.de!uni-berlin.de!ppp-1-48.cvx5.telinco.NET!not-for-mail From: "Nick Roberts" Newsgroups: comp.lang.ada Subject: Re: Dimensionality Checking (Ada 20XX) Date: Wed, 12 Dec 2001 01:42:49 -0000 Message-ID: <9v6cn6$dcfkh$2@ID-25716.news.dfncis.de> References: <11bf7180.0112070815.2625851b@posting.google.com> <9v0crt$bo2bi$1@ID-25716.news.dfncis.de> <9v37rs$cdmva$1@ID-25716.news.dfncis.de> <30wR7.37507$Yy.396223@rwcrnsc53> NNTP-Posting-Host: ppp-1-48.cvx5.telinco.net (212.1.152.48) X-Trace: fu-berlin.de 1008121383 14040721 212.1.152.48 (16 [25716]) X-Priority: 3 X-MSMail-Priority: Normal X-Newsreader: Microsoft Outlook Express 5.50.4133.2400 X-MimeOLE: Produced By Microsoft MimeOLE V5.50.4133.2400 Xref: archiver1.google.com comp.lang.ada:17804 Date: 2001-12-12T01:42:49+00:00 List-Id: "Mark Lundquist" wrote in message news:30wR7.37507$Yy.396223@rwcrnsc53... > Angles are not dimensionless. They are the ratio of distance around the > circumference to the radius. That's why for radian, there's 2 * Pi of 'em > in a circle. The SI defines the units of radians as (m * m**-1) ('m' stands > for 'meters'). I don't get why people keep saying radians are > dimensionless. Ow! In this context' dimensionless' means 'having dimensions that are zero' rather than 'not having any dimensions'. (Fairly common physics textbook terminology.) So, in this sense, angles are dimensionless (their dimensions are all zero). -- Best wishes, Nick Roberts