[Tugindia] tugindia Digest, Vol 95, Issue 1

[David Owen]

Hi, Shrisha, Raj,
Thanks very much. I appreciate it.
D.O.

On Tue, Nov 2, 2010 at 4:00 AM, <tugindia-request at tug.org> wrote:

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> Today's Topics:
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>   1. different shaped brackets (David Owen)
>   2. Re: different shaped brackets (Shrisha Rao)
>   3. Re: different shaped brackets (Raj Singh)
>
>
> ----------------------------------------------------------------------
>
> Message: 1
> Date: Mon, 1 Nov 2010 05:37:58 -0700
> From: David Owen <twychicky at gmail.com>
> To: tugindia at tug.org
> Subject: [Tugindia] different shaped brackets
> Message-ID:
>        <AANLkTin5_3PtLGC8poF2F1ixWpv+sx55=vBDowGq7uai at mail.gmail.com>
> Content-Type: text/plain; charset=ISO-8859-1
>
> Dear Everyone,
> I have a little problem:
> Is it a good typing style to always have DIFFERENT shaped brackets in
> mathematical equations involving several bracketed expressions? For
> example,
> is good to write:
> 1)    ( {[a+b+c](g-p)}+j)(d-n+x) = y
>
> or
>
> 2)  ( ((a+b+c)(g-p))+j)(d-n+x) = y, where some brackets may be larger than
> others?
>
> That is, is it a good style to mix the brackets or to use one type of
> bracket, some of which may be larger than others?
> Thanking you all,
> D.O.
>
>
> ------------------------------
>
> Message: 2
> Date: Mon, 1 Nov 2010 18:23:07 +0530
> From: Shrisha Rao <shrao at nyx.net>
> To: TUGIndia Mailing List <tugindia at tug.org>
> Subject: Re: [Tugindia] different shaped brackets
> Message-ID: <84D0AF68-F302-40BF-93A8-E687D4750FFE at nyx.net>
> Content-Type: text/plain; charset=iso-8859-1
>
> El nov 1, 2010, a las 6:07 p.m., David Owen escribi?:
>
> > Dear Everyone,
> > I have a little problem:
> > Is it a good typing style to always have DIFFERENT shaped brackets in
> > mathematical equations involving several bracketed expressions? For
> example,
> > is good to write:
> > 1)    ( {[a+b+c](g-p)}+j)(d-n+x) = y
> >
> > or
> >
> > 2)  ( ((a+b+c)(g-p))+j)(d-n+x) = y, where some brackets may be larger
> than
> > others?
> >
> > That is, is it a good style to mix the brackets or to use one type of
> > bracket, some of which may be larger than others?
>
> I am not aware that there is a written rule about this, but I would (based
> on what little mathematics I have seen) not mix different types of brackets
> just on a whim.  Brackets have special meanings in other contexts as you
> know: {x,y} is a set, whilst (x,y) is probably an ordered pair or the range
> of all values i where x < i < y.  If you are creating some appropriate
> notational standard (something not in conflict with any widely-used one)
> that a particular type of bracket means something specific in your work, it
> is okay, but mixing different types of brackets with no meanings attached
> may cause confusion or problems with consistency of usage.  Thus or
> otherwise, you may find reviewers not liking such mixing.
>
> Regards,
>
> Shrisha Rao
>
> > Thanking you all,
> > D.O.
> > _______________________________________________
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>
>
>
>
> ------------------------------
>
> Message: 3
> Date: Mon, 1 Nov 2010 18:45:38 +0530
> From: Raj Singh <raj.ceeri at gmail.com>
> To: TUGIndia Mailing List <tugindia at tug.org>
> Subject: Re: [Tugindia] different shaped brackets
> Message-ID:
>        <AANLkTimaASY-yz9hnr8XdeHr8j+Rz947yL2yhic5rQQ4 at mail.gmail.com<AANLkTimaASY-yz9hnr8XdeHr8j%2BRz947yL2yhic5rQQ4 at mail.gmail.com>
> >
> Content-Type: text/plain; charset=ISO-8859-1
>
> Hello,
>
> > Is it a good typing style to always have DIFFERENT shaped brackets in
> > mathematical equations involving several bracketed expressions?
>
> The usual use of brackets in expressions is for grouping.  So, ( ) is
> used as first level grouping, then { } for grouping and then [ ]. If
> specific instances and definitions are associated with brackets, then
> use them as per definitions.
>
> > ({[a+b+c](g-p)}+j)(d-n+x) = y
>
> As per above guideline, this expression should be written as
>
> {(a + b + c)(g - p) + j}(d - n + x) = y
>
> The order of evaluation (BODMAS) is important while evaluating
> expressions. BODMAS stands for Bracket, Order of exponents/root,
> Division, Multiplication, Addition, Subtraction. In the above
> expression, we want to do "a + b + c" before multiplying with "g - p",
> so brackets are necessary to override the default operator precedence.
>
> -- Raj
>
>
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> End of tugindia Digest, Vol 95, Issue 1
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