[NTG-context] Re: Fractions
Am 10.12.23 um 13:24 schrieb Henning Hraban Ramm: Usually I’d prefer “vulgar fractions”, but \vulgarfraction looks “horrible” in comparison to the few usual fractions contained in fonts (like ½ & ¾). I take this back: I had a problem in my font setup. Usually, \vulgarfraction is quite okay. Hraban ___ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://mailman.ntg.nl/mailman3/lists/ntg-context.ntg.nl webpage : https://www.pragma-ade.nl / https://context.aanhet.net (mirror) archive : https://github.com/contextgarden/context wiki : https://wiki.contextgarden.net ___
[NTG-context] Re: Fractions
Hello fraction fascinated friends,
> On Dec 10, 2023, at 5:24 AM, Henning Hraban Ramm wrote:
>
> Am 09.12.23 um 23:30 schrieb Mikael Sundqvist:
>> Hi,
>> On Sat, Dec 9, 2023 at 4:39 PM Wolfgang Schuster
>> wrote:
>>>
>>> Fabrice Couvreur schrieb am 09.12.2023 um 17:19:
>>>
>>> Very clear !
>>> In typography for Mathematics books, what choice should we make for the
>>> best possible result ?
>>>
>>> A question better answered by Mikael or Aditya!
>> Thank you for your trust, Wolfgang. I am not sure I have something
>> valuable to say in addition to Adityas suggestion \frac{1/3} in inline
>> math. In any case, I attach a passage, with suggestions inspired by
>> Lansburgh's book (iin Swedish). Not sure the file size makes it
>> through to the list, though.
>
> Thank you!
>
> I usually only need simple inline fractions like 1/n, 1/2 or 3/8 in text.
> With these and \frac, the spacing below the numerator (depth) is too big,
> while the denominator sticks too tightly to the fraction bar.
> (Of course I use regular numbers for fractions, not mediaeval.)
>
> Usually I’d prefer “vulgar fractions”, but \vulgarfraction looks “horrible”
> in comparison to the few usual fractions contained in fonts (like ½ & ¾).
>
> I tried to use the OpenType fraction features to no avail.
>
> So I’m still looking for “the best” solution for simple fractions inline.
>
> Hraban
I also use fractions frequently, so I’ve tried a few things.
Some fonts have superior and inferior numbers that can be used to make small
slash fractions. I’ve done this, but my method is not pretty. Hraban suggested
using font features for this, but I haven’t learned how to do that. Any advice
is welcome.
Example code below uses the Libertinus font, which has these superior and
inferior numbers, to produce sample paragraph demonstrating a few options for
fractions in text.
Gavin
\usetypescriptfile[libertinus]
\setupbodyfont [libertinus,11pt]%
\setupinterlinespace[line=3.1ex]
\define\fracone{\getnamedglyphdirect{libertinus}{onesuperior}} % 1
\define\fracthree{\getnamedglyphdirect{libertinus}{threesuperior}} % 3
\define\fracnine{\getnamedglyphdirect{libertinus}{ninesuperior}} % 9
\define\thirteenths{\textfraction\getnamedglyphdirect{libertinus}{oneinferior}\getnamedglyphdirect{libertinus}{threeinferior}}
% /13
\define\onethirteenth{\text{\fracone\thirteenths}} % 1/13
\define\threethirteenths{\text{\fracthree\thirteenths}} % 3/13
\define\ninethirteenths{\text{\fracnine\thirteenths}} % 9/13
\starttext
Some small fractions are already available in many fonts, like \onehalf\ and
\onethird. Others can be built using superior and inferior numbers in some
fonts. This includes the fractions required to
find the normal and shearing stresses on an oblique plane defined by
$l=\sqrt{\threethirteenths}$, $m=\sqrt{\onethirteenth}$, and
$n=\sqrt{\ninethirteenths}$.
Of course, you could just find the normal and shearing stresses on an oblique
plane defined by $l=\sqrt{3/13}$, $m=\sqrt{1/13}$, and $n=\sqrt{9/13}$.
Vulgar fractions are between these extremes.
Find the normal and shearing stresses on an oblique plane defined by
$l=\sqrt{\vfrac{3}{13}}$, $m=\sqrt{\vfrac{1}{13}}$, and
$n=\sqrt{\vfrac{9}{13}}$.
I included more text than strictly necessary in this example to demonstrate the
effect on line spacing.
\stoptext
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[NTG-context] Re: Fractions
Am 09.12.23 um 23:30 schrieb Mikael Sundqvist:
Hi,
On Sat, Dec 9, 2023 at 4:39 PM Wolfgang Schuster
wrote:
Fabrice Couvreur schrieb am 09.12.2023 um 17:19:
Very clear !
In typography for Mathematics books, what choice should we make for the best
possible result ?
A question better answered by Mikael or Aditya!
Thank you for your trust, Wolfgang. I am not sure I have something
valuable to say in addition to Adityas suggestion \frac{1/3} in inline
math. In any case, I attach a passage, with suggestions inspired by
Lansburgh's book (iin Swedish). Not sure the file size makes it
through to the list, though.
Thank you!
I usually only need simple inline fractions like 1/n, 1/2 or 3/8 in text.
With these and \frac, the spacing below the numerator (depth) is too
big, while the denominator sticks too tightly to the fraction bar.
(Of course I use regular numbers for fractions, not mediaeval.)
Usually I’d prefer “vulgar fractions”, but \vulgarfraction looks
“horrible” in comparison to the few usual fractions contained in fonts
(like ½ & ¾).
I tried to use the OpenType fraction features to no avail.
So I’m still looking for “the best” solution for simple fractions inline.
Hraban
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[NTG-context] Re: Fractions (was \placefigure[location=here...] problem)
On 12/9/2023 4:33 PM, Aditya Mahajan wrote:
On Sat, 9 Dec 2023, Wolfgang Schuster wrote:
\starttext
\startlines
\type{\frac{1}{3}}: \m{\frac{1}{3}}
\type{\xfrac{1}{3}}: \m{\xfrac{1}{3}}
\type{\xxfrac{1}{3}}: \m{\xxfrac{1}{3}}
\type{\tfrac{1}{3}}: \m{\tfrac{1}{3}}
\type{\sfrac{1}{3}}: \m{\sfrac{1}{3}}
\type{\frac{1}{3}}: \m{\frac{1}{3}}
\type{\dfrac{1}{3}}: \m{\dfrac{1}{3}}
\type{\cfrac{1}{3}}: \m{\cfrac{1}{3}}
\type{\vfrac{1}{3}}: \m{\vfrac{1}{3}}
\type{\hfrac{1}{3}}: \m{\hfrac{1}{3}}
\stoplines
\stoptext
Or, for inline math, $\sqrt{1/3}$.
radicals are somewhat special to deal with:
- multidimensional delimiter
- vertical spacing inside
- horizontal spacing oustside
- anchoring degrees
- left and right radicals
- more consistent rules (char based)
- size dependent additional spacing (avoid clash)
- normalize size across formula
- lack of granularity in variants sizes
by now we have dealt with all of that (some not in the current release),
think of additional control in the engine, compensation for insufficient
opentype math features, companion fonts with more sizes
there will always be suboptimal cases but the average is ok (we put
radical - character kerning on hold because it is a lot of definitions)
and we don't want to add hard to fight heuristics
so to inline: in most cases the solution that Adirya suggests will work
out okay with respect toline spacing
Hans
-
Hans Hagen | PRAGMA ADE
Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl
-
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[NTG-context] Re: Fractions (was \placefigure[location=here...] problem)
Fabrice Couvreur schrieb am 09.12.2023 um 17:19: Very clear ! In typography for Mathematics books, what choice should we make for the best possible result ? A question better answered by Mikael or Aditya! Wolfgang ___ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://mailman.ntg.nl/mailman3/lists/ntg-context.ntg.nl webpage : https://www.pragma-ade.nl / https://context.aanhet.net (mirror) archive : https://github.com/contextgarden/context wiki : https://wiki.contextgarden.net ___
[NTG-context] Re: Fractions (was \placefigure[location=here...] problem)
On Sat, 9 Dec 2023, Wolfgang Schuster wrote:
> \starttext
>
> \startlines
> \type{\frac{1}{3}}: \m{\frac{1}{3}}
> \type{\xfrac{1}{3}}: \m{\xfrac{1}{3}}
> \type{\xxfrac{1}{3}}: \m{\xxfrac{1}{3}}
> \type{\tfrac{1}{3}}: \m{\tfrac{1}{3}}
> \type{\sfrac{1}{3}}: \m{\sfrac{1}{3}}
> \type{\frac{1}{3}}: \m{\frac{1}{3}}
> \type{\dfrac{1}{3}}: \m{\dfrac{1}{3}}
> \type{\cfrac{1}{3}}: \m{\cfrac{1}{3}}
> \type{\vfrac{1}{3}}: \m{\vfrac{1}{3}}
> \type{\hfrac{1}{3}}: \m{\hfrac{1}{3}}
> \stoplines
>
> \stoptext
Or, for inline math, $\sqrt{1/3}$.
Aditya
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[NTG-context] Re: Fractions (was \placefigure[location=here...] problem)
Fabrice Couvreur schrieb am 09.12.2023 um 16:13:
Hi Wolfgang,
I'm reading this thread and I'm interested because I type a lot of
text with mathematical formulas.
In fact, I find that \dfrac{} creates unsightly leading space and that
\frac{} is too small. What is the difference between \frac{} and
\tfrac{} ?
\frac switches the math style while \tfrac (textstyle), \dfrac
(displaystyle) and \sfrac (scriptstyle) enforce a certain style.
begin example
\startbuffer[frac]
\frac{1}{2} + \dfrac{1}{2} - \tfrac{1}{2} + \sfrac{1}{2}
\stopbuffer
\starttext
\startformula
\getbuffer[frac]
\stopformula
\m{\getbuffer[frac]}
\startformula
\frac
{\getbuffer[frac]}
{\getbuffer[frac]}
\stopformula
\m{\frac
{\getbuffer[frac]}
{\getbuffer[frac]}}
\stoptext
end example
Wolfgang
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[NTG-context] Re: Fractions (was \placefigure[location=here...] problem)
Thanks :-) ___ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://mailman.ntg.nl/mailman3/lists/ntg-context.ntg.nl webpage : https://www.pragma-ade.nl / https://context.aanhet.net (mirror) archive : https://github.com/contextgarden/context wiki : https://wiki.contextgarden.net ___
[NTG-context] Re: Fractions (was \placefigure[location=here...] problem)
Hi Wolfgang,
I'm reading this thread and I'm interested because I type a lot of text
with mathematical formulas.
In fact, I find that \dfrac{} creates unsightly leading space and that
\frac{} is too small. What is the difference between \frac{} and \tfrac{} ?
Fabrice
Le sam. 9 déc. 2023 à 14:00, Henning Hraban Ramm a écrit :
> Am 09.12.23 um 14:43 schrieb Wolfgang Schuster:
> > anton.chig...@mail.com schrieb am 09.12.2023 um 14:15:
> > \startlines
> > \type{\frac{1}{3}}: \m{\frac{1}{3}}
> > \type{\xfrac{1}{3}}: \m{\xfrac{1}{3}}
> > \type{\xxfrac{1}{3}}: \m{\xxfrac{1}{3}}
> > \type{\tfrac{1}{3}}: \m{\tfrac{1}{3}}
> > \type{\sfrac{1}{3}}: \m{\sfrac{1}{3}}
> > \type{\frac{1}{3}}: \m{\frac{1}{3}}
> > \type{\dfrac{1}{3}}: \m{\dfrac{1}{3}}
> > \type{\cfrac{1}{3}}: \m{\cfrac{1}{3}}
> > \type{\vfrac{1}{3}}: \m{\vfrac{1}{3}}
> > \type{\hfrac{1}{3}}: \m{\hfrac{1}{3}}
> > \stoplines
>
> There’s also \vulgarfraction{1}{3} (but probably not suitable for your
> application).
>
> Hraban
>
>
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> If your question is of interest to others as well, please add an entry to
> the Wiki!
>
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>
> ___
>
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[NTG-context] Re: Fractions (was \placefigure[location=here...] problem)
Am 09.12.23 um 14:43 schrieb Wolfgang Schuster:
anton.chig...@mail.com schrieb am 09.12.2023 um 14:15:
\startlines
\type{\frac{1}{3}}: \m{\frac{1}{3}}
\type{\xfrac{1}{3}}: \m{\xfrac{1}{3}}
\type{\xxfrac{1}{3}}: \m{\xxfrac{1}{3}}
\type{\tfrac{1}{3}}: \m{\tfrac{1}{3}}
\type{\sfrac{1}{3}}: \m{\sfrac{1}{3}}
\type{\frac{1}{3}}: \m{\frac{1}{3}}
\type{\dfrac{1}{3}}: \m{\dfrac{1}{3}}
\type{\cfrac{1}{3}}: \m{\cfrac{1}{3}}
\type{\vfrac{1}{3}}: \m{\vfrac{1}{3}}
\type{\hfrac{1}{3}}: \m{\hfrac{1}{3}}
\stoplines
There’s also \vulgarfraction{1}{3} (but probably not suitable for your
application).
Hraban
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