Euler math again (virtually)

Euler math again (virtually)

[Adam Lindsay]

Hi all.

I was wondering if anyone else was interested in the Euler math font. I
was a bit frustrated in its incomplete coverage of certain symbols (e.g.
delimiters, radicals), but then I discovered the Virtual Euler Math
fonts/eulervm for LaTeX. It yields a set of virtual fonts (zeu*.vf) that
make the glyph set look a lot like the default computer-modern math fonts.
<http://www.ctan.org/tex-archive/help/Catalogue/entries/
eulervm.html?action=/tex-archive/fonts/>

I've come up with a math collection (math-zeu) and a combined typescript
file (type-zeu) that seem to give good enough results. Does anyone do
enough math typesetting to want to test "zeuler" out? I've gotten good
enough results this evening, but I don't have a lot of sophisticated
formulae lying around to do a full test. Does anyone have some semi-
demanding (non-AMS-territory) math for me to try?

Cheers,
adam

--
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
 Adam Lindsay                  +44(0)1524 594 537
 atl@comp.lancs.ac.uk
 http://www.comp.lancs.ac.uk/computing/users/atl/
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Re: Euler math again (virtually)

[Hans Hagen]

At 01:40 AM 1/29/2003 +0000, you wrote:

>I've come up with a math collection (math-zeu) and a combined typescript
>file (type-zeu) that seem to give good enough results. Does anyone do

nice initiative

Hans
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                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
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Re: Euler math again (virtually)

[Adam Lindsay]

Well, if it gets enough testing, I'm happy to pass it on to you for the
distribution... I'm open to suggestions on how to handle it.

Cheers,
adam


I believe Hans Hagen said this around Wed, 29 Jan 2003:

>At 01:40 AM 1/29/2003 +0000, you wrote:
>
>>I've come up with a math collection (math-zeu) and a combined typescript
>>file (type-zeu) that seem to give good enough results. Does anyone do
>
>nice initiative
>
>Hans
>-------------------------------------------------------------------------
>                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
>                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
>  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
>-------------------------------------------------------------------------
>                        information: http://www.pragma-ade.com/roadmap.pdf
>                     documentation: http://www.pragma-ade.com/showcase.pdf
>-------------------------------------------------------------------------
>
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>ntg-context mailing list
>ntg-context@ntg.nl
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 atl@comp.lancs.ac.uk
 http://www.comp.lancs.ac.uk/computing/users/atl/
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Re: Euler math again (virtually)

[Guy Worthington]

Adam Lindsay wrote:

> I was wondering if anyone else was interested in the Euler math font. I
> was a bit frustrated in its incomplete coverage of certain symbols (e.g.
> delimiters, radicals), but then I discovered the Virtual Euler Math
> fonts/eulervm for LaTeX.

Sounds great.

> Does anyone do enough math typesetting to want to test "zeuler" out?
> I've gotten good enough results this evening, but I don't have a lot
> of sophisticated formulae lying around to do a full test. Does anyone
> have some semi- demanding (non-AMS-territory) math for me to try?

Here's a script used to test the mathtimes fonts: (courtesy of YandY).
I simply commented out the bits that were giving ConTeXt indigestion.

%-tryCHIRONMT.ctx-----------------------------------------------
\starttext

\input CHIRONMT
    
\stoptext
%---------------------------------------------------------------

%-CHIRONMT.TEX--------------------------------------------------
%output=pdf
% This is a test file containing both math and text. Run in plain TeX

%\nopagenumbers

% Make sure that `encode.tex' is set up for the encoding used by
% your DVI driver for the Times-Roman text fonts.

%\input texnansi			% deal with TeX 'n ANSI encoding in text 
% \input ansiacce		% deal with Windows ANSI encoding in text 
% \input stanacce		% deal with Standard Encoding in text fonts

%\input mtplain			% load Times-Roman macros

%% NOTE: also change the definition of \qtr (ring accent) if encoding changed!

% \ifnum\the\ss=251\def\qtr#1{{\rm\mathaccent202#1}}\fi	% standard (Adobe SE)
% \ifnum\the\ss=223\def\qtr#1{{\rm\mathaccent176#1}}\fi	% ansinew (Windows ANSI)
% \ifnum\the\ss=25\def\qtr#1{{\rm\mathaccent23#1}}\fi	% textext (TeX text)
% \ifnum\the\ss=255\def\qtr#1{{\rm\mathaccent6#1}}\fi	% tex256  (Cork DC)
% \ifnum\the\ss=167\def\qtr#1{{\rm\mathaccent251#1}}\fi	% mac  (standard roman)
% \ifnum\the\ss=222\def\qtr#1{{\rm\mathaccent176#1}}\fi	% texannew

% \def\qtr#1{{\rm\vec #1}}
% \def\qtr#1{\vec #1}

\def\qtr#1{{\rm\mathaccent23#1}}	% for TeX 'n ANSI encoding

\def\vct#1{{\bf #1}}		% vector (bold)
\def\uvct#1{{\bf\hat#1}}	% unit vector (bold and hat)
\def\bvct#1{{\bf\overline#1}}	% barred vector (bold and overlined) 
\def\mat#1{{\bf#1}}		% perhaps a bit too heavy for matrix?

\def\qand{\quad{\rm and}\quad}		% \quad AND \quad
\def\qqand{\qquad{\rm and}\qquad}	% \quad\quad AND \quad\quad

\newdimen\bthick % thickness of lines used in constructing stencils
\bthick=0.48pt % 2 pixels at 300 dpi

\def\boxit#1{\vbox{\hrule height\bthick\hbox{\vrule width\bthick\kern6pt
	\vbox{\kern6pt#1\kern6pt}\kern6pt\vrule width\bthick}\hrule height\bthick}}

% \def\boldify#1{\hbox{\rlap{$#1$}\kern .6pt{$#1$}}}	% moby kludge!

\def\sumi{\sum_{i=1}^n}
\def\sumiw{\sumi w_i}

\def\qq{\qtr{q}}
\def\qd{\qtr{d}}
\def\ql{\qtr{\ell}}
\def\qr{\qtr{r}}
\def\qzero{0} % \def\qzero{\qtr{0}}

\def\qa{\qtr{a}}
\def\qb{\qtr{b}}

\def\qs{\qtr{s}}
\def\qt{\qtr{t}}
\def\qe{\qtr{e}}

% \def\tc{\vec c}
\def\tc{c}

\def\dqq{\delta\qq}
\def\dqd{\delta\qd}

% \def\vl{\boldify{\ell}}
\def\vl{\ell}
\def\vr{\vct{r}}
\def\vb{\vct{b}}
\def\vc{\vct{c}}
\def\vd{\vct{d}}
\def\vq{\vct{q}}

\def\vf{\vct{f}}
\def\vg{\vct{g}}
\def\vh{\vct{h}}

\def\vx{\vct{x}}
\def\vy{\vct{y}}

\def\dlambda{\delta\lambda}
\def\dvx{\delta\vx}
\def\jac{{d\vh\over d\vx}}

%\centerline{\twelvebf Symmetry in the Coplanarity Condition}

\vskip .1in

\noindent
We can rewrite the triple product 
in $\qr$, $\qd$, and $\ql$ using
$$t = \qr\qd\cdot\qq\ql=\qr\cdot\qq\ql\qd^*=\qq^*\qr\cdot\ql\qd^*.\eqno{(1)}$$
Noting that $\ql^*=-\ql$ and $\qr^*=-\qr$, since
$\qr$ and $\ql$ are quaternions with zero scalar parts, 
% we can rewrite the coplanarity condition in the form
we obtain, perhaps surprisingly,
$$\boxit{\hbox{$\displaystyle{ t = \qr\qq\cdot\qd\ql }$}}\eqno{(2)}$$
The symmetry between $\qq$ and $\qd$ 
can perhaps be seen in more detail if the
dot-product for $t$ is expanded out 
% Now expand the dot-product for $t$ 
in terms of the scalar and vector
components of $\qq=(q,\vq)$ and $\qd=(d,\vd)$: 
$$ t = (\vd\cdot\vr)\,(\vq\cdot\vl)  + (\vq\cdot\vr)\,(\vd\cdot\vl) 
+ (dq - \vd\cdot\vq)\,(\vl\cdot\vr)
+ d\,[\vr\ \vq\ \vl] + q\,[\vr\ \vd\ \vl].\eqno{(3)}$$
At this point we remember that
$$\qs = \sumiw e_i \,(\qr_i\qd\ql_i^*) 
\qand % \quad {\rm and} \quad
  \qt = \sumiw e_i \,(\qr_i^*\qq\ql_i).\eqno{(4)}$$
% 
We also still have the three constraint equations
$$\qq\cdot\dqq = 0, \quad \qd\cdot\dqd = 0,  \qand
\qq\cdot\dqd+\qd\cdot\dqq=0,\eqno{(5)}$$
%
all of which we can combine in the matrix form
%
$$\pmatrix{
A & B & \qq & \qzero & \qd \cr
B^T & C & \qzero & \qd & \qq \cr
\qq^T & \qzero^T & 0 & 0 & 0 \cr
\qzero^T & \qd^T & 0 & 0 & 0 \cr
\qd^T & \qq^T & 0 & 0 & 0 \cr}
\pmatrix{\dqd \cr \dqq \cr \lambda \cr \mu \cr \nu \cr}
=
-\pmatrix{\qs \cr \qt \cr 0 \cr 0 \cr 0 \cr},\eqno{(6)}$$
Overall, we have a system of 11 equations in 11 unknowns, 
four of which are the components of $\qq$, 
four are the components of $\qd$, and three are Lagrangian multipliers.
% \noindent 
Note that the upper left $8\times8$ sub-matrix is the weighted sum of
dyadic products  
$$\sumiw \tc_i\tc_i{}^T,\eqno{(6)}$$
where the eight-component vector $\tc_i$ is given by
$$\tc_i = \pmatrix{ \qr_i\qd \ql_i^* \cr \qr_i^*\qq\ql_i \cr}
  = -\pmatrix{\qr_i\qq\ql_i \cr \qr_i\strut\qd \ql_i \cr}.\eqno{(7)}$$
%
We conclude that the special system of equations has 
the number of solutions that is equal to the number of ways of 
partitioning the set of variables, in the indicated manner, namely
$${n+m-2\choose n-1}= {n+m-2\choose m-1}= {(n+m-2)!\over(n-1)!\,(m-1)!}\eqno{(8)}$$
This typically is {\it much\/} less than the number of solutions of
a general homogeneous system of $(n+m-2)$
second degree equations namely $2^{n+m-2}$.

The continuation method involves taking a small step 
$\dlambda$ in $\lambda$ and solving for the increment $\dvx$ in 
$${d\vh\over d\lambda}\,\dlambda + \jac\,\dvx =0,\eqno{(9)}$$
where $J=(d\vh/d\vx)$ is the Jacobian of $\vh$ with respect to $\vx$.
The updated solutions $\vx'=\vx+\dvx$ will not be exact if we are taking
finite steps, so one needs to use Newton's method to improve their accuracy. 

\end
%--------------------------------------------------------------

It works for me using cm* fonts.

Re: Re: Euler math again (virtually)

[Adam Lindsay]

I believe Guy Worthington said this around Wed, 29 Jan 2003:

>Adam Lindsay wrote:
>
>> I was wondering if anyone else was interested in the Euler math font. I
>> was a bit frustrated in its incomplete coverage of certain symbols (e.g.
>> delimiters, radicals), but then I discovered the Virtual Euler Math
>> fonts/eulervm for LaTeX.
>
>Sounds great.
>
>> Does anyone do enough math typesetting to want to test "zeuler" out?
>> I've gotten good enough results this evening, but I don't have a lot
>> of sophisticated formulae lying around to do a full test. Does anyone
>> have some semi- demanding (non-AMS-territory) math for me to try?
>
>Here's a script used to test the mathtimes fonts: (courtesy of YandY).
>I simply commented out the bits that were giving ConTeXt indigestion.
>It works for me using cm* fonts.

Many thanks, Guy.
The accents (e.g., \qtr) are definitely going to take some work, and the
BoldMath switching is also going to take a bit of learning, but the file
runs very well. Just the sort of thing I was looking for.

Cheers,
adam

--
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
 Adam Lindsay                  +44(0)1524 594 537
 atl@comp.lancs.ac.uk
 http://www.comp.lancs.ac.uk/computing/users/atl/
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=

Re: Re: Euler math again (virtually)

[Hans Hagen]

At 07:51 PM 1/29/2003 +0800, Guy Worthington wrote:
>Adam Lindsay wrote:
>
> > I was wondering if anyone else was interested in the Euler math font. I
> > was a bit frustrated in its incomplete coverage of certain symbols (e.g.
> > delimiters, radicals), but then I discovered the Virtual Euler Math
> > fonts/eulervm for LaTeX.
>
>Sounds great.
>
> > Does anyone do enough math typesetting to want to test "zeuler" out?
> > I've gotten good enough results this evening, but I don't have a lot
> > of sophisticated formulae lying around to do a full test. Does anyone
> > have some semi- demanding (non-AMS-territory) math for me to try?
>
>Here's a script used to test the mathtimes fonts: (courtesy of YandY).
>I simply commented out the bits that were giving ConTeXt indigestion.

There is also something \showmathcharacters

Hans
-------------------------------------------------------------------------
                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
-------------------------------------------------------------------------
                        information: http://www.pragma-ade.com/roadmap.pdf
                     documentation: http://www.pragma-ade.com/showcase.pdf
-------------------------------------------------------------------------

Re: Re: Euler math again (virtually)

[Adam Lindsay]

I believe Hans Hagen said this around Wed, 29 Jan 2003:

>
>There is also something \showmathcharacters

Thanks for reminding me about that.
Yes, so as I suspected, the accents presented a problem. The virtual
euler didn't include them, and ConTeXt seems to depend on a sensible
(math) roman being defined. I brought in Bitstream Charter as my (fake)
MathBeta font to help out with those definitions. Charter and Euler seem
to be very nicely matched in proportions and stroke weight.

You can see the results here:
<http://homepage.mac.com/atl/tex/eulerism.pdf> (81kb)

There is no euler varrho or varsigma, so they point to the normal variants.

Supporting Guy's test file is still going to be a struggle, since it's
mostly Plain TeX (which I'm nearly clueless about), and it uses the
quaternion(?) accent (\qtr). I have no clue where in ConTeXt that's
defined. Similarly with the bold mechanism with \vct.

So. More test docs wanted. :)

Cheers,
adam


--
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
 Adam Lindsay                  +44(0)1524 594 537
 atl@comp.lancs.ac.uk
 http://www.comp.lancs.ac.uk/computing/users/atl/
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=

Re: Re: Euler math again (virtually)

[Hans Hagen]

At 01:49 PM 1/29/2003 +0000, you wrote:

>Yes, so as I suspected, the accents presented a problem. The virtual
>euler didn't include them, and ConTeXt seems to depend on a sensible
>(math) roman being defined. I brought in Bitstream Charter as my (fake)
>MathBeta font to help out with those definitions. Charter and Euler seem
>to be very nicely matched in proportions and stroke weight.

concerning combinations, maybe make typescripts for them, so that we got 
nicely matching sets

for relative scaling parameters, there are test macros like:

\showfontstrip
\testminimalbaseline
\showminimalbaseline

Hans
-------------------------------------------------------------------------
                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
-------------------------------------------------------------------------
                        information: http://www.pragma-ade.com/roadmap.pdf
                     documentation: http://www.pragma-ade.com/showcase.pdf
-------------------------------------------------------------------------

Re: Re: Euler math again (virtually)

[Otared Kavian]

Hi Adam,

Following your instructions I installed and tested the eulervm font.
There are two characters missing (\varrho, \varsigma), but I didn't 
notice any other.

The test files

	eulervm-test.tex
	eulervm-test.pdf
	Non-eulervm-test.tex
	Non-eulervm-test.pdf

can be found at

http://homepage.mac.com/otared/FileSharing3.html

Best regards: OK


On mercredi, jan 29, 2003, at 14:49 Europe/Paris, Adam Lindsay wrote:

> I believe Hans Hagen said this around Wed, 29 Jan 2003:
>
>>
>> There is also something \showmathcharacters
>
> Thanks for reminding me about that.
> Yes, so as I suspected, the accents presented a problem. The virtual
> euler didn't include them, and ConTeXt seems to depend on a sensible
> (math) roman being defined. I brought in Bitstream Charter as my (fake)
> MathBeta font to help out with those definitions. Charter and Euler 
> seem
> to be very nicely matched in proportions and stroke weight.
>
> You can see the results here:
> <http://homepage.mac.com/atl/tex/eulerism.pdf> (81kb)
>
> There is no euler varrho or varsigma, so they point to the normal 
> variants.
>
> Supporting Guy's test file is still going to be a struggle, since it's
> mostly Plain TeX (which I'm nearly clueless about), and it uses the
> quaternion(?) accent (\qtr). I have no clue where in ConTeXt that's
> defined. Similarly with the bold mechanism with \vct.
>
> So. More test docs wanted. :)
>
> Cheers,
> adam
>
>
> --
> =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
>  Adam Lindsay                  +44(0)1524 594 537
>  atl@comp.lancs.ac.uk
>  http://www.comp.lancs.ac.uk/computing/users/atl/
> -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
>
> _______________________________________________
> ntg-context mailing list
> ntg-context@ntg.nl
> http://www.ntg.nl/mailman/listinfo/ntg-context
>

Re: Re: Euler math again (virtually)

[Adam Lindsay]

Okay, after actually *looking* at the code definitions, I got a bit
farther with Guy's test file. I might dabble with making a math bold out
of what I have, but it seems to render okay with the vector "accents".
I'm still not sure about the matching of the text height, but
\showfontstrip definitely helps with that.

My setting of Guy's sample, with Bitstream Charter, is at:
<http://homepage.mac.com/atl/tex/chironeu.pdf>

Cheers,
adam



Guy Worthington said this at Wed, 29 Jan 2003 19:51:01 +0800:

>Adam Lindsay wrote:
>
>> I was wondering if anyone else was interested in the Euler math font. I
>> was a bit frustrated in its incomplete coverage of certain symbols (e.g.
>> delimiters, radicals), but then I discovered the Virtual Euler Math
>> fonts/eulervm for LaTeX.
>
>Sounds great.
>
>> Does anyone do enough math typesetting to want to test "zeuler" out?
>> I've gotten good enough results this evening, but I don't have a lot
>> of sophisticated formulae lying around to do a full test. Does anyone
>> have some semi- demanding (non-AMS-territory) math for me to try?
>
>Here's a script used to test the mathtimes fonts: (courtesy of YandY).
>I simply commented out the bits that were giving ConTeXt indigestion.
>
>It works for me using cm* fonts.
-- 
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 Adam T. Lindsay                      atl@comp.lancs.ac.uk
 Computing Dept, Lancaster University   +44(0)1524/594.537
 Lancaster, LA1 4YR, UK             Fax:+44(0)1524/593.608
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Re: Re: Euler math again (virtually)

[Adam Lindsay]

Hi Otared.

Many thanks for testing that. I noticed the missing varrho & varsigma,
and have since replaced the normal variants. I've also updated the
accents to pull them from Charter.

You, and others, can pull the latest version of this from:
<http://homepage.mac.com/atl/tex/zeuler.zip> (6KB)
Documentation, as always, will come later. ;)

Cheers,
adam

Otared Kavian said this at Wed, 29 Jan 2003 18:55:40 +0100:

>Hi Adam,
>
>Following your instructions I installed and tested the eulervm font.
>There are two characters missing (\varrho, \varsigma), but I didn't 
>notice any other.
>
>The test files
>
>	eulervm-test.tex
>	eulervm-test.pdf
>	Non-eulervm-test.tex
>	Non-eulervm-test.pdf
>
>can be found at
>
>http://homepage.mac.com/otared/FileSharing3.html
>
>Best regards: OK
>
>
>On mercredi, jan 29, 2003, at 14:49 Europe/Paris, Adam Lindsay wrote:
>
>> I believe Hans Hagen said this around Wed, 29 Jan 2003:
>>
>>>
>>> There is also something \showmathcharacters
>>
>> Thanks for reminding me about that.
>> Yes, so as I suspected, the accents presented a problem. The virtual
>> euler didn't include them, and ConTeXt seems to depend on a sensible
>> (math) roman being defined. I brought in Bitstream Charter as my (fake)
>> MathBeta font to help out with those definitions. Charter and Euler 
>> seem
>> to be very nicely matched in proportions and stroke weight.
>>
>> You can see the results here:
>> <http://homepage.mac.com/atl/tex/eulerism.pdf> (81kb)
>>
>> There is no euler varrho or varsigma, so they point to the normal 
>> variants.
>>
>> Supporting Guy's test file is still going to be a struggle, since it's
>> mostly Plain TeX (which I'm nearly clueless about), and it uses the
>> quaternion(?) accent (\qtr). I have no clue where in ConTeXt that's
>> defined. Similarly with the bold mechanism with \vct.
>>
>> So. More test docs wanted. :)
>>
>> Cheers,
>> adam
>>
>>
>> --
>> =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
>>  Adam Lindsay                  +44(0)1524 594 537
>>  atl@comp.lancs.ac.uk
>>  http://www.comp.lancs.ac.uk/computing/users/atl/
>> -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
>>
>> _______________________________________________
>> ntg-context mailing list
>> ntg-context@ntg.nl
>> http://www.ntg.nl/mailman/listinfo/ntg-context
>>
>
>_______________________________________________
>ntg-context mailing list
>ntg-context@ntg.nl
>http://www.ntg.nl/mailman/listinfo/ntg-context

-- 
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 Adam T. Lindsay                      atl@comp.lancs.ac.uk
 Computing Dept, Lancaster University   +44(0)1524/594.537
 Lancaster, LA1 4YR, UK             Fax:+44(0)1524/593.608
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Re: Re: Euler math again (virtually)

[Adam Lindsay]

Hans Hagen said this at Wed, 29 Jan 2003 17:29:40 +0100:

>At 01:49 PM 1/29/2003 +0000, you wrote:
>
>>Yes, so as I suspected, the accents presented a problem. The virtual
>>euler didn't include them, and ConTeXt seems to depend on a sensible
>>(math) roman being defined. I brought in Bitstream Charter as my (fake)
>>MathBeta font to help out with those definitions. Charter and Euler seem
>>to be very nicely matched in proportions and stroke weight.
>
>concerning combinations, maybe make typescripts for them, so that we got 
>nicely matching sets

Gladly. That makes the most sense. I believe Otared's example illustrates
that CM is not the best match with Euler. Any suggestions beyond my
beloved Charter?

However, my use of Charter is before typescripts... it's to bring in
accents that have a similar stroke width to Euler---even though CM is
used to create the virtual font, CM's accents are far too spindly.

>for relative scaling parameters, there are test macros like:
>
>\showfontstrip

Again, thanks for the hint on when to use that command. It's very
interesting to compare with my eye-driven guesses.

Cheers,
adam


-- 
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 Adam T. Lindsay                      atl@comp.lancs.ac.uk
 Computing Dept, Lancaster University   +44(0)1524/594.537
 Lancaster, LA1 4YR, UK             Fax:+44(0)1524/593.608
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Re: Re: Euler math again (virtually)

[Adam Lindsay]

Adam Lindsay said this at Wed, 29 Jan 2003 19:06:16 +0000:

>Any suggestions beyond my
>beloved Charter?

PS... Concrete is the obvious choice, but I have never succeeded in
getting anything out of the font on my TeXLive 7 install. It seems
horribly "mangled".


-- 
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 Adam T. Lindsay                      atl@comp.lancs.ac.uk
 Computing Dept, Lancaster University   +44(0)1524/594.537
 Lancaster, LA1 4YR, UK             Fax:+44(0)1524/593.608
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Re: Re: Euler math again (virtually)

[Hans Hagen]

At 06:55 PM 1/29/2003 +0100, you wrote:
>Hi Adam,
>
>Following your instructions I installed and tested the eulervm font.
>There are two characters missing (\varrho, \varsigma), but I didn't notice 
>any other.

since it's default mapping, a simple two entry math collection can solve 
that (map on placeholders)

[off line now so cannot see 'm]

Hans
-------------------------------------------------------------------------
                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
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                     documentation: http://www.pragma-ade.com/showcase.pdf
-------------------------------------------------------------------------

Re: Re: Euler math again (virtually)

[Otared Kavian]

Hi Adam,

I tried your files included in zeuler.zip with ConTeXt on several maths 
examples, and now all the characters, are present and work fine, 
including the accents.

Many thanks for doing such a useful work!

Cheers: OK


On mercredi, jan 29, 2003, at 19:39 Europe/Paris, Adam Lindsay wrote:

> Hi Otared.
>
> Many thanks for testing that. I noticed the missing varrho & varsigma,
> and have since replaced the normal variants. I've also updated the
> accents to pull them from Charter.
>
> You, and others, can pull the latest version of this from:
> <http://homepage.mac.com/atl/tex/zeuler.zip> (6KB)
> Documentation, as always, will come later. ;)
>
> Cheers,
> adam
>
> Otared Kavian said this at Wed, 29 Jan 2003 18:55:40 +0100:
>
>> Hi Adam,
>>
>> Following your instructions I installed and tested the eulervm font.
>> There are two characters missing (\varrho, \varsigma), but I didn't
>> notice any other.
>>
>> The test files
>>
>> 	eulervm-test.tex
>> 	eulervm-test.pdf
>> 	Non-eulervm-test.tex
>> 	Non-eulervm-test.pdf
>>
>> can be found at
>>
>> http://homepage.mac.com/otared/FileSharing3.html
>>
>> Best regards: OK
>>

Re: Re: Euler math again (virtually)

[Otared Kavian]

Hi Adam,

I tried your files included in zeuler.zip with ConTeXt on several maths 
examples, and now all the characters, are present and work fine, 
including the accents.

Many thanks for doing such a useful work!

Cheers: OK


On mercredi, jan 29, 2003, at 19:39 Europe/Paris, Adam Lindsay wrote:

> Hi Otared.
>
> Many thanks for testing that. I noticed the missing varrho & varsigma,
> and have since replaced the normal variants. I've also updated the
> accents to pull them from Charter.
>
> You, and others, can pull the latest version of this from:
> <http://homepage.mac.com/atl/tex/zeuler.zip> (6KB)
> Documentation, as always, will come later. ;)
>
> Cheers,
> adam
>
> Otared Kavian said this at Wed, 29 Jan 2003 18:55:40 +0100:
>
>> Hi Adam,
>>
>> Following your instructions I installed and tested the eulervm font.
>> There are two characters missing (\varrho, \varsigma), but I didn't
>> notice any other.
>>
>> The test files
>>
>> 	eulervm-test.tex
>> 	eulervm-test.pdf
>> 	Non-eulervm-test.tex
>> 	Non-eulervm-test.pdf
>>
>> can be found at
>>
>> http://homepage.mac.com/otared/FileSharing3.html
>>
>> Best regards: OK
>>

Re: Euler math again (virtually)

[Guy Worthington]

Adam Lindsay wrote

>Any suggestions [of possible fonts that mix well with euler] beyond
>my beloved Charter?

I've had a look at your pdf, chironeu.pdf, and was startled at how
informal it looks compared to when it's typeset with mathtimes.

In LaTeX, I've seen Euler mixed with Palatino (in the package
mathpazo), where Palatino is typeset with an extra 5% leading.  I've
also seen it typeset with Pandora.  I liked the way it mixed with
Pandora.

Re: Re: Euler math again (virtually)

[Adam Lindsay]

Guy Worthington said this at Fri, 31 Jan 2003 13:32:48 +0800:

>Adam Lindsay wrote
>
>>Any suggestions [of possible fonts that mix well with euler] beyond
>>my beloved Charter?
>
>I've had a look at your pdf, chironeu.pdf, and was startled at how
>informal it looks compared to when it's typeset with mathtimes.

It really is quite a difference.

>In LaTeX, I've seen Euler mixed with Palatino (in the package
>mathpazo), where Palatino is typeset with an extra 5% leading.  I've

That's an interesting one that I haven't considered

>also seen it typeset with Pandora.  I liked the way it mixed with
>Pandora.

Sounds interesting, but as I've limited myself to be in pdf-land alone, I
haven't really succeeded with getting pandora working (no type1 version
that I can see in my TeXLive install).

There's something about seeing it with Antykwa Poltawskiego (and Avant
Garde) that really brings a smile to my face, despite the slight weight
difference. Wide-eyed expressionism?

<http://homepage.mac.com/atl/tex/chironAntP.pdf>
<http://homepage.mac.com/atl/tex/eulervm-AntP.pdf>
-- 
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 Adam T. Lindsay                      atl@comp.lancs.ac.uk
 Computing Dept, Lancaster University   +44(0)1524/594.537
 Lancaster, LA1 4YR, UK             Fax:+44(0)1524/593.608
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Re: Re: Euler math again (virtually)

[Hans Hagen]

At 12:06 PM 1/31/2003 +0000, you wrote:

>There's something about seeing it with Antykwa Poltawskiego (and Avant
>Garde) that really brings a smile to my face, despite the slight weight
>difference. Wide-eyed expressionism?
>
><http://homepage.mac.com/atl/tex/chironAntP.pdf>
><http://homepage.mac.com/atl/tex/eulervm-AntP.pdf>

How about making a nice test document and putting all those combinations 
somewhere on the web; we can then also kind of 'vote' for the best 
combinations and relative scaling.

Hans
-------------------------------------------------------------------------
                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
-------------------------------------------------------------------------
                        information: http://www.pragma-ade.com/roadmap.pdf
                     documentation: http://www.pragma-ade.com/showcase.pdf
-------------------------------------------------------------------------

Re: Re: Euler math again (virtually)

[Adam Lindsay]

Hans Hagen said this at Fri, 31 Jan 2003 13:57:04 +0100:

>At 12:06 PM 1/31/2003 +0000, you wrote:
>
>>There's something about seeing it with Antykwa Poltawskiego (and Avant
>>Garde) that really brings a smile to my face, despite the slight weight
>>difference. Wide-eyed expressionism?
>>
>><http://homepage.mac.com/atl/tex/chironAntP.pdf>
>><http://homepage.mac.com/atl/tex/eulervm-AntP.pdf>
>
>How about making a nice test document and putting all those combinations 
>somewhere on the web; we can then also kind of 'vote' for the best 
>combinations and relative scaling.

Sure. What else would people suggest should go in such a "nice" document?
I would probably take Otared's document as a starting point.

adam

-- 
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 Adam T. Lindsay                      atl@comp.lancs.ac.uk
 Computing Dept, Lancaster University   +44(0)1524/594.537
 Lancaster, LA1 4YR, UK             Fax:+44(0)1524/593.608
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Re: Re: Euler math again (virtually)

[Hans Hagen]

At 01:10 PM 1/31/2003 +0000, you wrote:
>Hans Hagen said this at Fri, 31 Jan 2003 13:57:04 +0100:
>
> >At 12:06 PM 1/31/2003 +0000, you wrote:
> >
> >>There's something about seeing it with Antykwa Poltawskiego (and Avant
> >>Garde) that really brings a smile to my face, despite the slight weight
> >>difference. Wide-eyed expressionism?
> >>
> >><http://homepage.mac.com/atl/tex/chironAntP.pdf>
> >><http://homepage.mac.com/atl/tex/eulervm-AntP.pdf>
> >
> >How about making a nice test document and putting all those combinations
> >somewhere on the web; we can then also kind of 'vote' for the best
> >combinations and relative scaling.
>
>Sure. What else would people suggest should go in such a "nice" document?
>I would probably take Otared's document as a starting point.

I uploaded

   www.pragma-ade.com/temp/mag-0000.pdf
   www.pragma-ade.com/temp/mag-0001.pdf

This style will be public so that users can make their own contributions 
(called My Way) and post them

BTW, number 1 describes how to handle the hiding of part of header/toc titles.

Hans
-------------------------------------------------------------------------
                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
-------------------------------------------------------------------------
                        information: http://www.pragma-ade.com/roadmap.pdf
                     documentation: http://www.pragma-ade.com/showcase.pdf
-------------------------------------------------------------------------

Re: Re: Euler math again (virtually)

[Adam Lindsay]

Hans Hagen said this at Fri, 31 Jan 2003 15:23:33 +0100:

>BTW, number 1 describes how to handle the hiding of part of header/toc
titles.

:D
I don't know whether to be more excited about the form or the content.
Looks brilliant!

adam

-- 
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 Adam T. Lindsay                      atl@comp.lancs.ac.uk
 Computing Dept, Lancaster University   +44(0)1524/594.537
 Lancaster, LA1 4YR, UK             Fax:+44(0)1524/593.608
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Re: Re: Euler math again (virtually)

[Hans Hagen]

At 06:39 PM 1/29/2003 +0000, you wrote:
>Hi Otared.
>
>Many thanks for testing that. I noticed the missing varrho & varsigma,
>and have since replaced the normal variants. I've also updated the
>accents to pull them from Charter.
>
>You, and others, can pull the latest version of this from:
><http://homepage.mac.com/atl/tex/zeuler.zip> (6KB)
>Documentation, as always, will come later. ;)

in math-eul you define a lot, like sin/cos etc

this can be left out (saving mem and hash space) since default is the fall 
back

So, the eul math file can be much smaller; i could look into it, but you 
robably know best what should be left in there

typescripts look ok, so when you declare things ok, i can add those 
snippets to the main type-* files; how about using [euler] instead of [zeuler]

Hans
-------------------------------------------------------------------------
                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
-------------------------------------------------------------------------
                        information: http://www.pragma-ade.com/roadmap.pdf
                     documentation: http://www.pragma-ade.com/showcase.pdf
-------------------------------------------------------------------------

Re: Re: Euler math again (virtually)

[Adam Lindsay]

I believe Hans Hagen said this around Fri, 31 Jan 2003:

>>You, and others, can pull the latest version of this from:
>><http://homepage.mac.com/atl/tex/zeuler.zip> (6KB)
>>Documentation, as always, will come later. ;)
>
>in math-eul you define a lot, like sin/cos etc

Wasn't sure it worked that way. Over the past few months of experimenting
with ConTeXt, I've learned to do things as verbosely as possible, and
then reduce as suggested by more knowledgeable sources. I'll experiment
on cutting down.

>this can be left out (saving mem and hash space) since default is the fall 
>back
>
>So, the eul math file can be much smaller; i could look into it, but you 
>robably know best what should be left in there

Yup. I'll work on it. 

>typescripts look ok, so when you declare things ok, i can add those 
>snippets to the main type-* files; how about using [euler] instead of
[zeuler]

I only did that to avoid clashing with the existing euler. If you're fine
with requiring people to load eulervm (which is easy enough to obtain,
true), then I'll be happy to prepare it to be a new default.
Similarly, is the dependance on Bitstream Charter (for the text-like
accents in math mode) desirable as a part of the main type-* files?

Thanks for the guidance--I'm a bit surprised by the interest!
adam

--
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
 Adam Lindsay                  +44(0)1524 594 537
 atl@comp.lancs.ac.uk
 http://www.comp.lancs.ac.uk/computing/users/atl/
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=

Re: Re: Euler math again (virtually)

[Adam Lindsay]

I believe Hans Hagen said this around Fri, 31 Jan 2003:

>in math-eul you define a lot, like sin/cos etc

Oh, right, about those functions...
I found that euler's characters are best set in isolation, and don't
serve math functions very well. In the current document I'm setting, I've
redefined mfunction to help relate math with the main text:
\def\mfunction#1{{\em#1}}

1) is that the "right" way of doing it? 
2) is it desirable to add to the definitions (where?) as a default?
(I have \em set to italic, but others might prefer the default slanted.)
--
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
 Adam Lindsay                  +44(0)1524 594 537
 atl@comp.lancs.ac.uk
 http://www.comp.lancs.ac.uk/computing/users/atl/
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=

my way

[Patrick Gundlach]

Hans Hagen <pragma@wxs.nl> writes:

Hello,

> I uploaded
>
>    www.pragma-ade.com/temp/mag-0000.pdf
>    www.pragma-ade.com/temp/mag-0001.pdf
>
> This style will be public so that users can make their own
> contributions (called My Way) and post them


Is there the mag-01 module available anyhwere?

Patrick

Re: my way

[Hans Hagen]

At 09:41 PM 2/11/2003 +0100, you wrote:
>Hans Hagen <pragma@wxs.nl> writes:
>
>Hello,
>
> > I uploaded
> >
> >    www.pragma-ade.com/temp/mag-0000.pdf
> >    www.pragma-ade.com/temp/mag-0001.pdf
> >
> > This style will be public so that users can make their own
> > contributions (called My Way) and post them
>
>
>Is there the mag-01 module available anyhwere?


not yet, will do that soon, i'll send you some files to test

Hans

-------------------------------------------------------------------------
                                   Hans Hagen | PRAGMA ADE | pragma@wxs.nl
                       Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
  tel: +31 (0)38 477 53 69 | fax: +31 (0)38 477 53 74 | www.pragma-ade.com
-------------------------------------------------------------------------
                        information: http://www.pragma-ade.com/roadmap.pdf
                     documentation: http://www.pragma-ade.com/showcase.pdf
-------------------------------------------------------------------------

Re: Euler math again (virtually)

[Johannes Hüsing]

I am still confused about how to use the typescripts to set up Euler.

The file below, when processed, renders the warning 'unknown variant
zeuler', and I get the wrong characters in math. That is, the left 
parenthesis is replaced by rightharpoonup and the right one by 
rightharpoondown.

Could anyone give me guidance on how to use the math fonts?

Greetings


Johannes

\setupoutput[pdftex]

\usetypescriptfile[type-zeu]
\usetypescript[math][zeuler][size]

\setupbodyfont[zeuler]

\starttext
The density of the Gaussian is
$f(y|\mu, \sigma) = (2\pi\sigma^2)^{-1/2}\exp(-({y-\mu \over \sigma})^2)$.
\stoptext

-- 
Johannes Hüsing   There is something fascinating about science. One gets
hannes@ruhrau.de  such wholesale returns of conjecture from such a 
                  trifling investment of fact.                Mark Twain

Re: Euler math again (virtually)

[Adam Lindsay]

[-- Attachment #1: Type: text/plain, Size: 1760 bytes --]

Hello, Johannes,

I think you're using an old version. This (attached) is what's on my
machine right here--I think there's a newer version of the typescripts on
another machine with Euler bold also enabled. Still planning on cleaning
up and releasing a "My Way" on it.

Johannes Hüsing said this at Sun, 30 Mar 2003 09:37:30 +0200:

>I am still confused about how to use the typescripts to set up Euler.
>
>The file below, when processed, renders the warning 'unknown variant
>zeuler', and I get the wrong characters in math. That is, the left
>parenthesis is replaced by rightharpoonup and the right one by
>rightharpoondown.

After receiving advice from Hans, I've called the typescript "euler" and
"eul" (in the attached). You need to make sure that the old math-eul.tex
is ignored and that the new one takes precedence.

>Could anyone give me guidance on how to use the math fonts?

Using the attached scripts with the notated changes, it seems to work for
me...

>\setupoutput[pdftex]
>
>\usetypescriptfile[type-zeu]
\usetypescriptfile[type-eul]

>\usetypescript[math][zeuler][size]
(delete this line)

>\setupbodyfont[zeuler]
\setupbodyfont[eul]

>\starttext
>The density of the Gaussian is
>$f(y|\mu, \sigma) = (2\pi\sigma^2)^{-1/2}\exp(-({y-\mu \over \sigma})^2)$.
>\stoptext

The more detailed typescripts are more for when you setup a whole
typescript combining a roman font with the euler math font.

--
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 Adam T. Lindsay                      atl@comp.lancs.ac.uk
 Computing Dept, Lancaster University   +44(0)1524/594.537
 Lancaster, LA1 4YR, UK             Fax:+44(0)1524/593.608
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

[-- Attachment #2: type-eul.zip --]
[-- Type: application/zip, Size: 2179 bytes --]

Re: Euler math again (virtually)

[Johannes Hüsing]

Adam Lindsay <atl@comp.lancs.ac.uk> [Sun, Mar 30, 2003 at 04:52:04PM CEST]:
> Hello, Johannes,
> 
> I think you're using an old version. This (attached) is what's on my
> machine right here

And this works, thank you very much!

Greetings 


Johannes
-- 
Johannes Hüsing   There is something fascinating about science. One gets
hannes@ruhrau.de  such wholesale returns of conjecture from such a 
                  trifling investment of fact.                Mark Twain