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Subject: Re: Bug in math alignment
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Dear Otared,

>=20
> I think there is an issue with the size of math fonts in \frac when =
used in math alignments, as it is is shown in the following example.
>=20

I confirm what you said.

However, if I use \dm{} instead of \displaystyle as following, then the =
output is correct.

\placeformula
\startformula
\startalignedcases
\NC - \Delta u \NC =3D 0 \NC \qquad\text{in }\, \Omega \NR
\NC  \dm{\frac{\partial u}{\partial {\bi n}}}
 \NC =3D V u + \phi \NC \qquad\text{on }\, \partial\Omega. \NR
\stopalignedcases
\stopformula
or this (with\type{\displaystyle} added)
\placeformula=20
\startformula
\startalignedcases
\NC - \Delta u \NC =3D 0 \NC \qquad\text{in }\, \Omega \NR
\NC  \dm{\frac{\partial u}{\partial {\bi n}}}
 \NC =3D V u + \phi \NC \qquad\text{on }\, \partial\Omega. \NR
\stopalignedcases
\stopformula

In this example, it is OK to use \dm inside of \startformula =E2=80=A6 =
\stopformula.
I am not sure that it is what Hans and Mikael want.

Thanks,

Best regards,

Dalyoung





--Apple-Mail=_9795078D-F7BC-462B-B338-6AC944327ADC
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<html><head><meta http-equiv=3D"Content-Type" content=3D"text/html; =
charset=3Dutf-8"></head><body style=3D"word-wrap: break-word; =
-webkit-nbsp-mode: space; line-break: after-white-space;" class=3D"">Dear =
Otared,<div class=3D""><br class=3D""><div><blockquote type=3D"cite" =
class=3D""><div class=3D""><div class=3D""><br class=3D"">I think there =
is an issue with the size of math fonts in \frac when used in math =
alignments, as it is is shown in the following example.<br class=3D""><br =
class=3D""></div></div></blockquote><br class=3D"">I confirm what you =
said.</div><div><br class=3D""></div><div>However, if I use \dm{} =
instead of \displaystyle as following, then the output is =
correct.</div><div><br class=3D""></div><div><div class=3D""><div =
style=3D"color: rgb(0, 0, 0); background-color: rgb(207, 207, 207); =
font-family: Menlo, Monaco, &quot;Courier New&quot;, monospace; =
font-size: 16px; line-height: 24px; white-space: pre;" class=3D""><div =
class=3D""><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\placeformula</span></div><div class=3D""><span style=3D"color:=
 #007f00;font-weight: bold;" class=3D"">\startformula</span></div><div =
class=3D""><span style=3D"color: #007f00;" =
class=3D"">\startalignedcases</span></div><div class=3D""><span =
style=3D"color: #007f00;" class=3D"">\NC</span> <span style=3D"color: =
#7f7f00;" class=3D"">-</span> <span style=3D"color: #007f00;font-weight: =
bold;" class=3D"">\Delta</span> u <span style=3D"color: #007f00;" =
class=3D"">\NC</span> <span style=3D"color: #00007f;" class=3D"">=3D</span=
> 0 <span style=3D"color: #007f00;" class=3D"">\NC</span> <span =
style=3D"color: #007f00;font-weight: bold;" class=3D"">\qquad</span><span =
style=3D"color: #007f00;" class=3D"">\text</span><span style=3D"color: =
#7f0000;" class=3D"">{</span>in <span style=3D"color: #7f0000;" =
class=3D"">}</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\,</span> <span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\Omega</span> <span style=3D"color: #007f00;" =
class=3D"">\NR</span></div><div class=3D""><span style=3D"color: =
#007f00;" class=3D"">\NC</span>  <span style=3D"color: #007f00;" =
class=3D"">\dm</span><span style=3D"color: #7f0000;" =
class=3D"">{</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\frac</span><span style=3D"color: #7f0000;" =
class=3D"">{</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\partial</span> u<span style=3D"color: #7f0000;" =
class=3D"">}{</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\partial</span> <span style=3D"color: #7f0000;" =
class=3D"">{</span><span style=3D"color: #007f00;" class=3D"">\bi</span> =
n<span style=3D"color: #7f0000;" class=3D"">}}}</span></div><div =
class=3D""> <span style=3D"color: #007f00;" class=3D"">\NC</span> <span =
style=3D"color: #00007f;" class=3D"">=3D</span> V u <span style=3D"color: =
#7f7f00;" class=3D"">+</span> <span style=3D"color: #007f00;font-weight: =
bold;" class=3D"">\phi</span> <span style=3D"color: #007f00;" =
class=3D"">\NC</span> <span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\qquad</span><span style=3D"color: #007f00;" =
class=3D"">\text</span><span style=3D"color: #7f0000;" =
class=3D"">{</span>on <span style=3D"color: #7f0000;" =
class=3D"">}</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\,</span> <span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\partial\Omega</span>. <span style=3D"color: #007f00;" =
class=3D"">\NR</span></div><div class=3D""><span style=3D"color: =
#007f00;" class=3D"">\stopalignedcases</span></div><div class=3D""><span =
style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\stopformula</span></div><div class=3D"">or this <span =
style=3D"color: #00007f;" class=3D"">(</span>with<span style=3D"color: =
#007f00;font-weight: bold;" class=3D"">\type</span><span style=3D"color: =
#7f0000;" class=3D"">{</span><span style=3D"color: #00007f;font-weight: =
bold;" class=3D"">\displaystyle</span><span style=3D"color: #7f0000;" =
class=3D"">}</span> added<span style=3D"color: #00007f;" =
class=3D"">)</span></div><div class=3D""><span style=3D"color: =
#007f00;font-weight: bold;" class=3D"">\placeformula</span> </div><div =
class=3D""><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\startformula</span></div><div class=3D""><span style=3D"color:=
 #007f00;" class=3D"">\startalignedcases</span></div><div class=3D""><span=
 style=3D"color: #007f00;" class=3D"">\NC</span> <span style=3D"color: =
#7f7f00;" class=3D"">-</span> <span style=3D"color: #007f00;font-weight: =
bold;" class=3D"">\Delta</span> u <span style=3D"color: #007f00;" =
class=3D"">\NC</span> <span style=3D"color: #00007f;" class=3D"">=3D</span=
> 0 <span style=3D"color: #007f00;" class=3D"">\NC</span> <span =
style=3D"color: #007f00;font-weight: bold;" class=3D"">\qquad</span><span =
style=3D"color: #007f00;" class=3D"">\text</span><span style=3D"color: =
#7f0000;" class=3D"">{</span>in <span style=3D"color: #7f0000;" =
class=3D"">}</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\,</span> <span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\Omega</span> <span style=3D"color: #007f00;" =
class=3D"">\NR</span></div><div class=3D""><span style=3D"color: =
#007f00;" class=3D"">\NC</span>  <span style=3D"color: #007f00;" =
class=3D"">\dm</span><span style=3D"color: #7f0000;" =
class=3D"">{</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\frac</span><span style=3D"color: #7f0000;" =
class=3D"">{</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\partial</span> u<span style=3D"color: #7f0000;" =
class=3D"">}{</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\partial</span> <span style=3D"color: #7f0000;" =
class=3D"">{</span><span style=3D"color: #007f00;" class=3D"">\bi</span> =
n<span style=3D"color: #7f0000;" class=3D"">}}}</span></div><div =
class=3D""> <span style=3D"color: #007f00;" class=3D"">\NC</span> <span =
style=3D"color: #00007f;" class=3D"">=3D</span> V u <span style=3D"color: =
#7f7f00;" class=3D"">+</span> <span style=3D"color: #007f00;font-weight: =
bold;" class=3D"">\phi</span> <span style=3D"color: #007f00;" =
class=3D"">\NC</span> <span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\qquad</span><span style=3D"color: #007f00;" =
class=3D"">\text</span><span style=3D"color: #7f0000;" =
class=3D"">{</span>on <span style=3D"color: #7f0000;" =
class=3D"">}</span><span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\,</span> <span style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\partial\Omega</span>. <span style=3D"color: #007f00;" =
class=3D"">\NR</span></div><div class=3D""><span style=3D"color: =
#007f00;" class=3D"">\stopalignedcases</span></div><div class=3D""><span =
style=3D"color: #007f00;font-weight: bold;" =
class=3D"">\stopformula</span></div></div></div></div><div class=3D""><br =
class=3D""></div>In this example,&nbsp;<span style=3D"caret-color: =
rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D"">it is OK to use \dm =
inside of \startformula =E2=80=A6 \stopformula.</span></div><div =
class=3D"">I am not sure that it is what Hans and Mikael want.</div><div =
class=3D""><br class=3D""></div><div class=3D"">Thanks,</div><div =
class=3D""><br class=3D""></div><div class=3D"">Best regards,</div><div =
class=3D""><br class=3D""></div><div class=3D"">Dalyoung</div><div =
class=3D""><br class=3D""></div><div class=3D""><br class=3D""></div><div =
class=3D""><br class=3D""></div><div class=3D""><br =
class=3D""></div></body></html>=

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