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interests / alt.usage.english / Re: the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual.

SubjectAuthor
* Re: the additive identity and the multiplicative identity are denotedJerry Friedman
`* Re: the additive identity and the multiplicative identity are denotedhongy...@gmail.com
 `- Re: the additive identity and the multiplicative identity are denotedJerry Friedman

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Re: the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual.

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Subject: Re: the additive identity and the multiplicative identity are denoted
respectively 0 and 1, as usual.
From: jerry_fr...@yahoo.com (Jerry Friedman)
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 by: Jerry Friedman - Wed, 25 May 2022 14:47 UTC

On Wednesday, May 25, 2022 at 1:23:36 AM UTC-6, hongy...@gmail.com wrote:
> I noticed the following description here [1]:
>
> ```
> GF(2) is the field with the smallest possible number of elements, and is unique if the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual.
> ```
>
> In the above wording, I think the following touch up can be applied as an improvement:
>
> ... are denoted [as] 0 and 1 respectively, as usual.
>
> Any comments/corrections will be highly appreciated.
>
> [1] https://en.wikipedia.org/wiki/GF(2)

Phrases such as "denoted as", "named as", "designated as" are common these days,
but I prefer to omit the "as". As PTD says, "by" would be better than "as" here, but
using neither is even better.

As usual, "respectively" can be omitted. Anyone reading that knows which element
is 0 and which is 1. However, I don't object to it there as much as I often do. Putting
it at the end, as you did, is probably more natural, but its position in the original isn't
bad.

--
Jerry Friedman

Re: the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual.

<c11a43f9-5647-410c-bb08-38cf601301d2n@googlegroups.com>

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Subject: Re: the additive identity and the multiplicative identity are denoted
respectively 0 and 1, as usual.
From: hongyi.z...@gmail.com (hongy...@gmail.com)
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 by: hongy...@gmail.com - Wed, 25 May 2022 23:56 UTC

On Wednesday, May 25, 2022 at 10:47:36 PM UTC+8, Jerry Friedman wrote:
> On Wednesday, May 25, 2022 at 1:23:36 AM UTC-6, hongy...@gmail.com wrote:
> > I noticed the following description here [1]:
> >
> > ```
> > GF(2) is the field with the smallest possible number of elements, and is unique if the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual.
> > ```
> >
> > In the above wording, I think the following touch up can be applied as an improvement:
> >
> > ... are denoted [as] 0 and 1 respectively, as usual.
> >
> > Any comments/corrections will be highly appreciated.
> >
> > [1] https://en.wikipedia.org/wiki/GF(2)
> Phrases such as "denoted as", "named as", "designated as" are common these days,
> but I prefer to omit the "as". As PTD says, "by" would be better than "as" here, but
> using neither is even better.
>
> As usual, "respectively" can be omitted. Anyone reading that knows which element
> is 0 and which is 1. However, I don't object to it there as much as I often do.

I'm very puzzled by your following wording used above:

"... to it there ..."

> Putting it at the end, as you did, is probably more natural, but its position in the original isn't
> bad.
>
> --
> Jerry Friedman

Re: the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual.

<a3e2ca4e-9915-4e90-80d9-6e444ef7b964n@googlegroups.com>

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Subject: Re: the additive identity and the multiplicative identity are denoted
respectively 0 and 1, as usual.
From: jerry_fr...@yahoo.com (Jerry Friedman)
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 by: Jerry Friedman - Sat, 28 May 2022 15:21 UTC

On Wednesday, May 25, 2022 at 5:56:29 PM UTC-6, hongy...@gmail.com wrote:
> On Wednesday, May 25, 2022 at 10:47:36 PM UTC+8, Jerry Friedman wrote:
> > On Wednesday, May 25, 2022 at 1:23:36 AM UTC-6, hongy...@gmail.com wrote:
> > > I noticed the following description here [1]:
> > >
> > > ```
> > > GF(2) is the field with the smallest possible number of elements, and is unique if the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual.
> > > ```
> > >
> > > In the above wording, I think the following touch up can be applied as an improvement:
> > >
> > > ... are denoted [as] 0 and 1 respectively, as usual.
> > >
> > > Any comments/corrections will be highly appreciated.
> > >
> > > [1] https://en.wikipedia.org/wiki/GF(2)
> > Phrases such as "denoted as", "named as", "designated as" are common these days,
> > but I prefer to omit the "as". As PTD says, "by" would be better than "as" here, but
> > using neither is even better.
> >
> > As usual, "respectively" can be omitted. Anyone reading that knows which element
> > is 0 and which is 1. However, I don't object to it there as much as I often do.
> I'm very puzzled by your following wording used above:
>
> "... to it there ..."

By "there" I meant "in that sentence".

--
Jerry Friedman

interests / alt.usage.english / Re: the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual.

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