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A subgroup H of group G where Left-coset of H equal Right-coset of H.
i.e. for any a in G, for h in H, ah=ha ( in symbols aH=Ha )

Could a math guru tell what this is talking about? I can't tell what category it might fall under. --Twinxor 00:20, 17 Sep 2004 (UTC)

This is an alternative definition of a normal subgroup but for the life of me I don't know why it's here. Ignore it. Gadykozma 00:47, 17 Sep 2004 (UTC)

Normal can mean many things indeed, so it is good for this to be a disambiguation page. To make this a true disambig, one would need to put the first paragraph, about behavior, to its own article, say called normal (behavior). Any objections to that? Oleg Alexandrov 23:32, 21 Apr 2005 (UTC)

I removed most of the links here, beacause there are over 100 pages that begin with "normal" and only some of them were included here. In most cases where someone is looking for one of those topics, they won't be searching for just "normal", but for the whole phrase, so most of those links were not very useful. In case someone gets here looking for "normal something-or-other", there is a link that lists all Wikipedia articles that begin with the word "Normal". What's left on this page is (hopefully) just the things that would likely be referred to as "normal" without any other qualifier. Nohat 06:04, 9 Jun 2005 (UTC)

I don't know if I've put this in the right place, but I don't see a button for starting a new comment.

Normal, Normalcy and some related words should include a couple of concepts. One is the statistical definition of normal, meaning "typical" or "modal," or in the greatest number (a plurality or majority.)

It should also include a sociological concept relating to the most common practices or beliefs. Thus, heterosexuality is often called "normal" because it is the condition or practice or belief of the greatest number. Once a majority believe that homosexuality is not deviant or evil, then it would become "normal" in that sense. It is also normal that people should die or age, because those are universal conditions.

Normal can also refer to perfection, as in a "normal kidney," meaning a kidney without defect.

Common speech may refer to norms as socially agreed standards, such that it is the norm to accept a certain practice. There is a command element involved, but a greater suggestion of agreement by the greatest number.i think we should stop

Is it really necessary to strip out all the subcategorization in the math section?

It's fairly common when reading about mathematics to see something like "if X is normal, then..." and then the reader is left to figure out which of a dozen unrelated notions of "normality" are meant. Having to go through a long list of things that may or may not be relevant seems unnecessary. The stated rationale here is Wikipedia:MOSDAB but that page explicitly says "Long disambiguation pages should be grouped into subject sections, and even subsections as necessary."

Moreover, many of the words modified by "normal" here have multiple unrelated meanings in mathematics (e.g. "scheme," "variety", "distribution", "space") meaning that removing the categories is removing some necessary context.

Separately, what's the rationale for removing several things, e.g. normal varieties or the second sense of normal numbers? Dan131m (talk) 03:21, 3 November 2019 (UTC)[reply]