Real and imaginary part as Re/Im

[Nicolas Neuss]

Hello,

the usual LaTeX definition of realpart and imaginary part symbol gives only
a single "R"/"I" in a special font (which one?). I would like to have
"Re"/"Im" instead (keeping that font).

How can I do this? (I'm rather sure I have seen this in documents
already.)

Thank you very much,
Nicolas

[Lars Madsen]

\renewvommand\Re{\operatorname{Re}}
\renewcommand\Im{\operatorname{Im}}

--

/daleif (remove RTFSIGNATURE from email address)

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[Nicolas Neuss]

Lars Madsen <dal...@RTFSIGNATUREimf.au.dk> writes:

> Nicolas Neuss wrote:
>> Hello,
>>
>> the usual LaTeX definition of realpart and imaginary part symbol gives
>> only a single "R"/"I" in a special font (which one?). I would like to
>> have "Re"/"Im" instead (keeping that font).
>>
>> How can I do this? (I'm rather sure I have seen this in documents
>> already.)
>>
>> Thank you very much,
>> Nicolas
>
> \renewvommand\Re{\operatorname{Re}}
> \renewcommand\Im{\operatorname{Im}}

Thanks, but the previous R and I were in some specific calligraphic or
gothic font. Your solution yields Re/Im in a standard font (maybe roman).

Nicolas

[Lars Madsen]

I think it is more standard to use Re and Im because it is more readable
. And the original \Re and \Im are not from a font, they are special
symbols designed to look like that (as far as I know)

/daleif

[Plamen Tanovski]

Nicolas Neuss <last...@math.uni-karlsruhe.de> writes:

> Lars Madsen <dal...@RTFSIGNATUREimf.au.dk> writes:

>> \renewvommand\Re{\operatorname{Re}}
>> \renewcommand\Im{\operatorname{Im}}
>
> Thanks, but the previous R and I were in some specific calligraphic or
> gothic font. Your solution yields Re/Im in a standard font (maybe roman).

\renewcommand\Re{\operatorname{\mathfrak{Re}}}

The font is called blackletter or in german gebrochene Schrift, vulgo Fraktur.

best regards

[Dan Luecking]

On Tue, 25 Nov 2008 22:55:10 +0100, Plamen Tanovski <p...@arcor.de>
wrote:

Actually, the font they are taken from is CMSY by default.
That font has no corresponding "e". The above command
(\mathfrak) require the amsfonts package and draws the
characters from the eufm family. The style might be
called blackletter or Fraktur, but the font itself is named
EUFM10 (in a 10pt document). At least, that is the default.
Some class or style file could change that.

I have very seldom seen the "real part" operator written as
a Fraktur "Re" in english texts. More common is a script "Re",
but most common is upright font (roman usually, but
occasionally sanserif). Even the default result of \Re (a
single Fraktur R) is pretty uncommon. Three of 4 of the
books I grabbed at random use roman Re. The fourth doesn't
use the operator at all; instead it uses phrases like
"f = u + iv with u and v real valued".

Dan
To reply by email, change LookInSig to luecking

[Robin Fairbairns]

Dan Luecking <Look...@uark.edu> writes:
>On Tue, 25 Nov 2008 22:55:10 +0100, Plamen Tanovski <p...@arcor.de>
>wrote:

>>\renewcommand\Re{\operatorname{\mathfrak{Re}}}
>>
>>The font is called blackletter or in german gebrochene Schrift, vulgo Fraktur.
>
>Actually, the font they are taken from is CMSY by default.
>That font has no corresponding "e". The above command
>(\mathfrak) require the amsfonts package and draws the
>characters from the eufm family. The style might be
>called blackletter or Fraktur, but the font itself is named
>EUFM10 (in a 10pt document). At least, that is the default.
>Some class or style file could change that.
>
>I have very seldom seen the "real part" operator written as
>a Fraktur "Re" in english texts. More common is a script "Re",
>but most common is upright font (roman usually, but
>occasionally sanserif). Even the default result of \Re (a
>single Fraktur R) is pretty uncommon. Three of 4 of the
>books I grabbed at random use roman Re. The fourth doesn't
>use the operator at all; instead it uses phrases like
>"f = u + iv with u and v real valued".

fwiw, i think at least one of my undergraduate analysis books used
fraktur Re/Im. couldn't say which, off hand, and given i've not
looked at the book for more than 40 years it's probably pretty well
buried.

(i used to enjoy analysis. a friend characterised it as the science
of splitting hairs and finding they have funny insides. he was an
applied mathematician by inclination, whereas scruffy old me wanted to
be pure as the driven snow.)
--
Robin Fairbairns, Cambridge

[Art Werschulz]

Hi.

rf...@cl.cam.ac.uk (Robin Fairbairns) writes:

>>I have very seldom seen the "real part" operator written as
>>a Fraktur "Re" in english texts. More common is a script "Re",
>>but most common is upright font (roman usually, but
>>occasionally sanserif). Even the default result of \Re (a
>>single Fraktur R) is pretty uncommon. Three of 4 of the
>>books I grabbed at random use roman Re. The fourth doesn't
>>use the operator at all; instead it uses phrases like
>>"f = u + iv with u and v real valued".
>
> fwiw, i think at least one of my undergraduate analysis books used
> fraktur Re/Im. couldn't say which, off hand, and given i've not
> looked at the book for more than 40 years it's probably pretty well
> buried.

Both
Z. Nehari, "Complex Variables"
and
L. Ahlfors, "Complex Analysis"
use a roman "Re" and "Im".

> i used to enjoy analysis. a friend characterised it as the science
> of splitting hairs and finding they have funny insides.

:-)

> he was an applied mathematician by inclination, whereas scruffy old
> me wanted to be pure as the driven snow.

If G. H. Hardy were alive, only to discover the practical uses of
number theory, he'd turn in his grave.

--
Art Werschulz (8-{)} "Metaphors be with you." -- bumper sticker
GCS/M (GAT): d? -p+ c++ l++ u+ P++ e--- m* s n+ h f g+ w+ t+ r-
Net: a...@dsm.fordham.edu http://www.dsm.fordham.edu/~agw
Phone: Fordham U. (212) 636-6325, Columbia U. (212) 939-7060

[Robin Fairbairns]

Art Werschulz <a...@dsm.fordham.edu> writes:
>> he was an applied mathematician by inclination, whereas scruffy old
>> me wanted to be pure as the driven snow.
>
>If G. H. Hardy were alive, only to discover the practical uses of
>number theory, he'd turn in his grave.

nah -- hardy had an open mind (witness his behaviour towards
ramanujan, none of whose mathematics was "conventional"). i would
imagine he would revel in the situation, and in the opportunities
offered by computers.
--
Robin Fairbairns, Cambridge

[Art Werschulz]

Hi.

rf...@cl.cam.ac.uk (Robin Fairbairns) writes:

> Art Werschulz <a...@dsm.fordham.edu> writes:
>
>>If G. H. Hardy were alive, only to discover the practical uses of
>>number theory, he'd turn in his grave.
>
> nah -- hardy had an open mind (witness his behaviour towards
> ramanujan, none of whose mathematics was "conventional"). i would
> imagine he would revel in the situation, and in the opportunities
> offered by computers.
> --
> Robin Fairbairns, Cambridge

OTOH, in his "A Mathematician's Apology", he wrote:

<quote>
I have never done anything 'useful'. No discovery of mine has made, or
is likely to make, directly or indirectly, for good or ill, the least
difference to the amenity of the world.
</quote>

[Robin Fairbairns]

Art Werschulz <a...@dsm.fordham.edu> writes:
>rf...@cl.cam.ac.uk (Robin Fairbairns) writes:
>> Art Werschulz <a...@dsm.fordham.edu> writes:
>>>If G. H. Hardy were alive, only to discover the practical uses of
>>>number theory, he'd turn in his grave.
>>
>> nah -- hardy had an open mind (witness his behaviour towards
>> ramanujan, none of whose mathematics was "conventional"). i would
>> imagine he would revel in the situation, and in the opportunities
>> offered by computers.
>

>OTOH, in his "A Mathematician's Apology", he wrote:
>
><quote>
>I have never done anything 'useful'. No discovery of mine has made, or
>is likely to make, directly or indirectly, for good or ill, the least
>difference to the amenity of the world.
></quote>

which doesn't say he would have minded if it had. (mind you, when i
read the apology again recently, those sentences did sort of jump out
of the page... ;-)

it's a futile argument, of course, even if it's fun.
--
Robin Fairbairns, Cambridge

[Donald Arseneau]

On Dec 2, 7:11 am, Art Werschulz <a...@dsm.fordham.edu> wrote:
> If G. H. Hardy were alive, only to discover the practical uses of
> number theory, he'd turn in his grave.

Ummm... if he were alive, I hope he would turn over in his bed, and
catch an extra hour of sleep.

[vinee...@gmail.com]

In order to get Im(G): try $\Im{_m(G)}$
You will get the desired effect.

[Uwe Siart]

vinee...@gmail.com writes:

> In order to get Im(G): try $\Im{_m(G)}$

You cannot be serious! A calligraphic "I" and a subscripted italic "m".
Horrible.

What about

\renewcommand*{\Re}{\operatorname{Re}}
\renewcommand*{\Im}{\operatorname{Im}}

(requires amsmath)

--
Uwe

[Julian Bradfield]

On 2013-10-30, Uwe Siart <use...@siart.de> wrote:
> vinee...@gmail.com writes:
>> In order to get Im(G): try $\Im{_m(G)}$
> You cannot be serious! A calligraphic "I" and a subscripted italic "m".
> Horrible.

Indeed!
However, someone who's answering a five-year-old question probably
isn't serious anyway.