I am trying to represent the calculus of relations, from Tarski's paper. How do I represent the following 
?
SideNote:
I did go through http://math.mit.edu/~dspivak/files/symbols-all.pdf
and https://www.rpi.edu/dept/arc/training/latex/LaTeX_symbols.pdf
and anyother document I could find.
[Tex/LaTex] How to draw the following symbols
relation-symbolssymbols
Related Solutions
I don't know if it is appropriate to include non-TeX programming language on this site, but about 6 years ago I wrote PC batch files to take TTF files and install them on my PC for LaTeX usage. I am using MiKTeX, so file locations may or may not be dependent on that. The program was for my own use, and so it would have to be customized for your own use (file locations, directory names, etc.). And if you have any questions, it could take me a while to try to develop an answer, because I haven't used it in a number of years. The good news is I installed well over 100 fonts on my W2K system with it, so I know it works, if the loose ends are resolved. I make no guarantees on how successful you will be, but you are welcome to it.
It has options if you are installing a single font, or up to four fonts as part of a font family (I didn't go beyond that).
It needs a copy of sed.exe, which you can get from gnu, as well as programs like ttf2tfm and ttf2afm, which are out there. It also invokes a few stencil files of mine, which it edits and uses, so I'll include those below, as well. Here goes...
mkTTfont.bat:
@echo off
REM This file will create LaTeX fonts given a family of
REM TrueType font files. The files should be of the type:
REM 1) standard font
REM 2) + bold font
REM 3) + accented font (e.g., Oblique or Italic)
REM 4) + bold, accented font (e.g., BoldOblique or BoldItalic)
REM
REM
REM Regardless of whether the accent is Italic or Oblique, this program
REM will assign this accented font as "italic" as far as LaTeX is concerned.
REM An "oblique" (also known as "slant") font will created by slanting the
REM Standard and Bold fonts. The default slant value of .167 may be
REM edited by the user. Thus, with 4 font files, a total of 6 LaTeX fonts
REM will be created, the four that are directly in the ttf files provided
REM plus two slanted fonts created from the standard and bold-standard fonts.
REM When only two font files are utilized, 4 LaTeX fonts will be
REM created. When only one font file is provided, 2 LaTeX fonts will
REM be created
REM
REM This program assumes your ttf files employ T1-WGL4 encoding, which
REM will need editing if it is otherwise.
REM
REM The syntax of the command is mkTTfont <font supplier> <font family>
REM
REM DEFAULT FONT TYPE NAMES & OPTIONS
set STD=Regular
set BLD=Bold
set SLNT=.167
REM ENCODING:
set ENCODE=T1-WGL4.enc
REM FILE LOCATIONS:
set HDIR=C:\DOCUME~1\steven\TeX\Fonts
set SEDEXE=C:\DOCUME~1\steven\TeX\Fonts\sed.exe
set LOCALTEX=c:\localtexmf
set PSMAP=%LOCALTEX%\pdftex\config\psfonts.map
set TTMAP=C:\texmf\ttf2tfm\base\ttfonts.map
set FONTDIR=%LOCALTEX%\fonts
set LATEXFONTDIR=%LOCALTEX%\tex\latex\fonts
set TTDIR=%LOCALTEX%\ttf2tfm
REM WITH BELOW FOUR LINES, COOKED TFM/VF FILES ARE <FONTNAME>.tfm AND
REM <FONTNAME>.vfm, WHILE RAW TFM FILES ARE r<FONTNAME>.tfm
set PX=ec
set RPX=rec
set CNM=%PX%%2
set RNM=%RPX%%2
REM================= Confirm number of arguments ========================
if "%2"=="" goto BADSYNTAX
goto CONTINUE1
:BADSYNTAX
echo Two arguments required: mkTTfont font-supplier font-family
goto THEEND
:CONTINUE1
REM================= Ascertain ttf filenames ============================
REM
set FNM=%1%2
if EXIST %FNM%%STD%.ttf goto JUSTFINE
if EXIST %FNM%.ttf goto FIXSTD
if EXIST %2%STD%.ttf goto FIXFNM
if EXIST %2.ttf goto FIXBOTH
echo.
echo For the standard font's filename, what word comes between
echo ...%2 and .ttf (example: ...%2%STD%.ttf)?
SET /P STD=?
if EXIST %FNM%%STD%.ttf goto JUSTFINE
if EXIST %2%STD%.ttf goto FIXFNM
echo Can't find specified font file, either
echo %FNM%%STD%.ttf, %2.ttf,
echo nor
echo %2%STD%.ttf
echo Aborting run.
goto THEEND
goto JUSTFINE
:FIXSTD
set STD=
goto JUSTFINE
:FIXFNM
set FNM=%2
goto JUSTFINE
:FIXBOTH
set FNM=%2
set STD=
:JUSTFINE
REM================= Confirm existence of all font files ================
echo.
echo How many font files do you wish to install from this family
Set /P NUM=(1, 2, 3, or 4)?
IF "%NUM%"=="1" goto SKIPACNT
IF "%NUM%"=="2" goto SKIPACNT
IF "%NUM%"=="3" goto GETACTYP
IF "%NUM%"=="4" goto GETACTYP
echo.
echo Not prepared to install %NUM% fonts.
echo Aborting job.
goto THEEND
:GETACTYP
if NOT EXIST %FNM%Italic.ttf goto TYPEB
set ACNT=Italic
goto SKIPACNT
:TYPEB
if NOT EXIST %FNM%Oblique.ttf goto TYPEC
set ACNT=Oblique
goto SKIPACNT
:TYPEC
if NOT EXIST %FNM%i.ttf goto TYPED
set ACNT=i
goto SKIPACNT
:TYPED
if NOT EXIST %FNM%o.ttf goto GETACNT
set ACNT=o
goto SKIPACNT
:GETACNT
echo.
echo What filename phrase denotes the font accent
Set /P ACNT=(e.g. Italic, Oblique, i, o, etc.)?
:SKIPACNT
if %NUM%==1 goto SKIPBOLD
if NOT EXIST %FNM%Bold.ttf goto BOLDTYPEB
set BLD=Bold
goto SKIPBOLD
:BOLDTYPEB
if NOT EXIST %FNM%b.ttf goto GETBLD
set BLD=b
goto SKIPBOLD
:GETBLD
echo.
echo What filename phrase denotes the "bold" font
Set /P BLD=(e.g. Bold, b, Zier, etc.)?
:SKIPBOLD
echo.
echo Expected File(s):
echo.
echo Standard Font: %FNM%%STD%.ttf
if EXIST %FNM%%STD%.ttf echo Found.
if NOT EXIST %FNM%%STD%.ttf goto FILEMSNG
if %NUM%==1 goto DONEFILES
echo Bold Font: %FNM%%BLD%.ttf
if EXIST %FNM%%BLD%.ttf echo Found.
if NOT EXIST %FNM%%BLD%.ttf goto FILEMSNG
if %NUM%==2 goto DONEFILES
echo Accent Font: %FNM%%ACNT%.ttf
if EXIST %FNM%%ACNT%.ttf echo Found.
if NOT EXIST %FNM%%ACNT%.ttf goto FILEMSNG
if %NUM%==3 goto DONEFILES
echo Bold Accent Font: %FNM%%BLD%%ACNT%.ttf
if EXIST %FNM%%BLD%%ACNT%.ttf echo Found.
if NOT EXIST %FNM%%BLD%%ACNT%.ttf goto FILEMSNG
goto DONEFILES
:FILEMSNG
echo Missing.
echo.
echo Aborting Job.
goto THEEND
:DONEFILES
echo.
pause
REM================= Ascertain fontnames ================================
IF EXIST %SEDEXE% goto GETFNTNMS
echo You need to have sed.exe (sed stream editor) in the parent directory.
echo It is available through gnu.org.
echo Aborting installation.
goto THEEND
:GETFNTNMS
echo.
echo Determining Fontname(s):
echo.
ttf2afm -e %ENCODE% -o Fontname.afm %FNM%%STD%.ttf 2>junk.out
afm2tfm Fontname.afm -T %ENCODE% Fontname.tfm 2>junk.out > fontline.out
type fontline.out | %SEDEXE% s/Fontname// > fontname.out
FOR /F %%A in ('type fontname.out') DO (
@echo off
set FNTNMS=%%A
)
echo %FNM%%STD%.ttf: %FNTNMS%
echo.
del Fontname.afm Fontname.tfm junk.out fontline.out fontname.out
if %NUM%==1 goto DONENAMES
ttf2afm -e %ENCODE% -o Fontname.afm %FNM%%BLD%.ttf 2>junk.out
afm2tfm Fontname.afm -T %ENCODE% Fontname.tfm 2>junk.out > fontline.out
type fontline.out | %SEDEXE% s/Fontname// > fontname.out
FOR /F %%A in ('type fontname.out') DO (
@echo off
set FNTNMB=%%A
)
echo %FNM%%BLD%.ttf: %FNTNMB%
echo.
del Fontname.afm Fontname.tfm junk.out fontline.out fontname.out
if %NUM%==2 goto DONENAMES
ttf2afm -e %ENCODE% -o Fontname.afm %FNM%%ACNT%.ttf 2>junk.out
afm2tfm Fontname.afm -T %ENCODE% Fontname.tfm 2>junk.out > fontline.out
type fontline.out | %SEDEXE% s/Fontname// > fontname.out
FOR /F %%A in ('type fontname.out') DO (
@echo off
set FNTNMA=%%A
)
echo %FNM%%ACNT%.ttf: %FNTNMA%
echo.
del Fontname.afm Fontname.tfm junk.out fontline.out fontname.out
if %NUM%==3 goto DONENAMES
ttf2afm -e %ENCODE% -o Fontname.afm %FNM%%BLD%%ACNT%.ttf 2>junk.out
afm2tfm Fontname.afm -T %ENCODE% Fontname.tfm 2>junk.out > fontline.out
type fontline.out | %SEDEXE% s/Fontname// > fontname.out
FOR /F %%A in ('type fontname.out') DO (
@echo off
set FNTNMBA=%%A
)
echo %FNM%%BLD%%ACNT%.ttf: %FNTNMBA%
echo.
del Fontname.afm Fontname.tfm junk.out fontline.out fontname.out
:DONENAMES
pause
REM================= Get ready for file creation ========================
IF EXIST %HDIR%\t1STENCIL%NUM%.fd goto CONTINUE2
echo Can't find t1STENCIL%NUM%.fd in the home directory:
echo %HDIR%
echo Aborting installation.
goto THEEND
:CONTINUE2
echo Making sure certain files DON'T exist a priori:
del ttfonts.map
del psfonts.map
REM================= Make raw font metrics & create ttfonts map entry ===
ttf2tfm %FNM%%STD%.ttf -q -T %ENCODE% -v %CNM%.vpl %RNM%.tfm ^
>> ttfonts.map
ttf2tfm %FNM%%STD%.ttf -q -T %ENCODE% -s %SLNT% -v %CNM%o.vpl %RNM%o.tfm ^
>> ttfonts.map
if %NUM%==1 goto DONERAW
ttf2tfm %FNM%%BLD%.ttf -q -T %ENCODE% -v %CNM%b.vpl %RNM%b.tfm ^
>> ttfonts.map
ttf2tfm %FNM%%BLD%.ttf -q -T %ENCODE% -s %SLNT% -v %CNM%bo.vpl %RNM%bo.tfm ^
>> ttfonts.map
if %NUM%==2 goto DONERAW
ttf2tfm %FNM%%ACNT%.ttf -q -T %ENCODE% -v %CNM%i.vpl %RNM%i.tfm ^
>> ttfonts.map
if %NUM%==3 goto DONERAW
ttf2tfm %FNM%%BLD%%ACNT%.ttf -q -T %ENCODE% -v %CNM%bi.vpl %RNM%bi.tfm ^
>> ttfonts.map
:DONERAW
echo %% Done font %2! on %date% at %time% >> ttfonts.map
REM================= Make cooked font metrics ===========================
vptovf %CNM%.vpl %CNM%.vf %CNM%.tfm
vptovf %CNM%o.vpl %CNM%o.vf %CNM%o.tfm
if %NUM%==1 goto DONECOOKED
vptovf %CNM%b.vpl %CNM%b.vf %CNM%b.tfm
vptovf %CNM%bo.vpl %CNM%bo.vf %CNM%bo.tfm
if %NUM%==2 goto DONECOOKED
vptovf %CNM%i.vpl %CNM%i.vf %CNM%i.tfm
if %NUM%==3 goto DONECOOKED
vptovf %CNM%bi.vpl %CNM%bi.vf %CNM%bi.tfm
:DONECOOKED
del *.vpl
REM================= Create Adobe font metrics ==========================
ttf2afm -e %ENCODE% -o %RNM%.afm %FNM%%STD%.ttf
if %NUM%==1 goto DONEAFM
ttf2afm -e %ENCODE% -o %RNM%b.afm %FNM%%BLD%.ttf
if %NUM%==2 goto DONEAFM
ttf2afm -e %ENCODE% -o %RNM%i.afm %FNM%%ACNT%.ttf
if %NUM%==3 goto DONEAFM
ttf2afm -e %ENCODE% -o %RNM%bi.afm %FNM%%BLD%%ACNT%.ttf
:DONEAFM
REM================= Create target directories & move files there =======
IF NOT EXIST %FONTDIR% mkdir %FONTDIR%
IF NOT EXIST %FONTDIR%\truetype mkdir %FONTDIR%\truetype
IF NOT EXIST %FONTDIR%\truetype\%1 mkdir %FONTDIR%\truetype\%1
IF NOT EXIST %FONTDIR%\truetype\%1\%2 mkdir %FONTDIR%\truetype\%1\%2
IF NOT EXIST %FONTDIR%\tfm mkdir %FONTDIR%\tfm
IF NOT EXIST %FONTDIR%\tfm\%1 mkdir %FONTDIR%\tfm\%1
IF NOT EXIST %FONTDIR%\tfm\%1\%2 mkdir %FONTDIR%\tfm\%1\%2
IF NOT EXIST %FONTDIR%\vf mkdir %FONTDIR%\vf
IF NOT EXIST %FONTDIR%\vf\%1 mkdir %FONTDIR%\vf\%1
IF NOT EXIST %FONTDIR%\vf\%1\%2 mkdir %FONTDIR%\vf\%1\%2
copy %FNM%*.ttf %FONTDIR%\truetype\%1\%2\
copy %CNM%*.tfm %FONTDIR%\tfm\%1\%2\
copy %RNM%*.tfm %FONTDIR%\tfm\%1\%2\
copy %CNM%*.vf %FONTDIR%\vf\%1\%2\
IF NOT EXIST %TTDIR% mkdir %TTDIR%
IF NOT EXIST %TTDIR%\base mkdir %TTDIR%\base
IF NOT EXIST %TTDIR%\base\ttfonts.map copy %TTMAP% %TTDIR%\base\ttfonts.map
type %TTDIR%\base\ttfonts.map | %SEDEXE% /%RNM%/d > tttemp.map
copy %TTDIR%\base\ttfonts.map %TTDIR%\base\ttfontsOLD.map
copy tttemp.map+ttfonts.map %TTDIR%\base\ttfonts.map
del tttemp.map
IF NOT EXIST %LATEXFONTDIR% mkdir %LATEXFONTDIR%
IF NOT EXIST %LATEXFONTDIR%\%1 mkdir %LATEXFONTDIR%\%1
type %HDIR%\t1STENCIL%NUM%.fd | %SEDEXE% s/COOKED/%CNM%/g ^
| %SEDEXE% s/STENCIL/%2/g > t1%2.fd
echo t1%2.fd
copy t1%2.fd %LATEXFONTDIR%\%1
IF NOT EXIST %FONTDIR%\afm mkdir %FONTDIR%\afm
IF NOT EXIST %FONTDIR%\afm\%1 mkdir %FONTDIR%\afm\%1
IF NOT EXIST %FONTDIR%\afm\%1\%2 mkdir %FONTDIR%\afm\%1\%2
copy %RNM%*.afm %FONTDIR%\afm\%1\%2
REM================= Create psfonts map entries =========================
afm2tfm %RNM%.afm -T %ENCODE% %RNM%.tfm >> psf1.map
REM afm2tfm %RNM%.afm -T %ENCODE% -s %SLNT% %RNM%o.tfm >> psf1.map
if %NUM%==1 goto FINISHMAP
afm2tfm %RNM%b.afm -T %ENCODE% %RNM%b.tfm >> psf1.map
REM afm2tfm %RNM%b.afm -T %ENCODE% -s %SLNT% %RNM%bo.tfm >> psf1.map
if %NUM%==2 goto FINISHMAP
afm2tfm %RNM%i.afm -T %ENCODE% %RNM%i.tfm >> psf1.map
if %NUM%==3 goto FINISHMAP
afm2tfm %RNM%bi.afm -T %ENCODE% %RNM%bi.tfm >> psf1.map
:FINISHMAP
type psf1.map | %SEDEXE% s/T1-/%FNM%.ttf" T1-"/ > psf2.map
type psf2.map | %SEDEXE% -n /%FNTNMS%" "/p | %SEDEXE% s/.ttf/%STD%.ttf/ ^
>> psf3.map
if %NUM%==1 goto DONEMAP
type psf2.map | %SEDEXE% -n /%FNTNMB%" "/p | %SEDEXE% s/.ttf/%BLD%.ttf/ ^
>> psf3.map
if %NUM%==2 goto DONEMAP
type psf2.map | %SEDEXE% -n /%FNTNMA%/p | %SEDEXE% s/.ttf/%ACNT%.ttf/ ^
>> psf3.map
if %NUM%==3 goto DONEMAP
type psf2.map | %SEDEXE% -n /%FNTNMBA%/p | %SEDEXE% s/.ttf/%BLD%%ACNT%.ttf/ ^
>> psf3.map
:DONEMAP
echo %% Done font %2! on %date% at %time% >> psf3.map
rename psf3.map psfonts.map
del psf1.map psf2.map
type %PSMAP% | %SEDEXE% /%RNM%/d > pstemp.map
copy %PSMAP% %PSMAP%.OLD
copy pstemp.map+psfonts.map %PSMAP%
del pstemp.map
REM Parting guidance
echo.
echo If this is a revision of an existing installation,
echo you will need to delete all the preexisting pk
echo fonts with the name %2, below the directory named
echo %FONTDIR%\pk
echo.
set /P HASHNOW=Would you like to update the MikTeX filename data base now?
if %HASHNOW%==y goto DOHASH
if %HASHNOW%==Y goto DOHASH
echo.
echo You will need to update the MikTeX database before using this font.
goto THEEND
:DOHASH
texhash
echo.
:THEEND
t1STENCIL1.fd:
\ProvidesFile{t1STENCIL.fd}[TrueType font STENCIL]
\DeclareFontFamily{T1}{STENCIL}{}
\DeclareFontShape{T1}{STENCIL}{b}{n} {<-> COOKED}{}
\DeclareFontShape{T1}{STENCIL}{b}{sl}{<-> COOKEDo}{}
\DeclareFontShape{T1}{STENCIL}{b}{it}{<-> COOKEDo}{}
\DeclareFontShape{T1}{STENCIL}{m}{n} {<-> COOKED}{}
\DeclareFontShape{T1}{STENCIL}{m}{sl}{<-> COOKEDo}{}
\DeclareFontShape{T1}{STENCIL}{m}{it}{<-> COOKEDo}{}
\DeclareFontShape{T1}{STENCIL}{bx}{n} {<->ssub * STENCIL/b/n}{}
\DeclareFontShape{T1}{STENCIL}{bx}{sl}{<->ssub * STENCIL/b/sl}{}
\DeclareFontShape{T1}{STENCIL}{bx}{it}{<->ssub * STENCIL/b/it}{}
\endinput
t1STENCIL2.fd:
\ProvidesFile{t1STENCIL.fd}[TrueType font STENCIL]
\DeclareFontFamily{T1}{STENCIL}{}
\DeclareFontShape{T1}{STENCIL}{b}{n} {<-> COOKEDb}{}
\DeclareFontShape{T1}{STENCIL}{b}{sl}{<-> COOKEDbo}{}
\DeclareFontShape{T1}{STENCIL}{b}{it}{<-> COOKEDbo}{}
\DeclareFontShape{T1}{STENCIL}{m}{n} {<-> COOKED}{}
\DeclareFontShape{T1}{STENCIL}{m}{sl}{<-> COOKEDo}{}
\DeclareFontShape{T1}{STENCIL}{m}{it}{<-> COOKEDo}{}
\DeclareFontShape{T1}{STENCIL}{bx}{n} {<->ssub * STENCIL/b/n}{}
\DeclareFontShape{T1}{STENCIL}{bx}{sl}{<->ssub * STENCIL/b/sl}{}
\DeclareFontShape{T1}{STENCIL}{bx}{it}{<->ssub * STENCIL/b/it}{}
\endinput
t1STENCIL4.fd:
\ProvidesFile{t1STENCIL.fd}[TrueType font STENCIL]
\DeclareFontFamily{T1}{STENCIL}{}
\DeclareFontShape{T1}{STENCIL}{b}{n} {<-> COOKEDb}{}
\DeclareFontShape{T1}{STENCIL}{b}{sl}{<-> COOKEDbo}{}
\DeclareFontShape{T1}{STENCIL}{b}{it}{<-> COOKEDbi}{}
\DeclareFontShape{T1}{STENCIL}{m}{n} {<-> COOKED}{}
\DeclareFontShape{T1}{STENCIL}{m}{sl}{<-> COOKEDo}{}
\DeclareFontShape{T1}{STENCIL}{m}{it}{<-> COOKEDi}{}
\DeclareFontShape{T1}{STENCIL}{bx}{n} {<->ssub * STENCIL/b/n}{}
\DeclareFontShape{T1}{STENCIL}{bx}{sl}{<->ssub * STENCIL/b/sl}{}
\DeclareFontShape{T1}{STENCIL}{bx}{it}{<->ssub * STENCIL/b/it}{}
\endinput
I also have a comparable batch file for T1 fonts, but since you mention TTF, I did not include it here.
I also do include below a batch file for determining the name of the TTF font. Usually, the filename is the fontname, but not always, which can sometimes cause grief.
getTTfontname.bat:
@echo off
REM This file will determine the font name of a particular TTF font file
REM
REM This program assumes your font uses T1-WGL4 encoding, which will need
REM editing if it is otherwise.
REM
REM The syntax of the command is getfontname <fontfile>
REM
set SUF=
set ENCODE=T1-WGL4.enc
if "%1"=="" goto BADSYNTAX
goto CONTINUE1
:BADSYNTAX
echo One argument required: getfontname font-file
goto THEEND
:CONTINUE1
if EXIST %1 goto JUSTFINE
if EXIST %1.ttf goto FIXSTD
echo.
echo Can't find font file %1 or %1.ttf
goto THEEND
:FIXSTD
set SUF=.ttf
:JUSTFINE
echo.
echo From reading the font, the font name has been determined as:
echo.
ttf2afm -e %ENCODE% -o Fontname.afm %1%SUF% 2>junk.out
afm2tfm Fontname.afm -T %ENCODE% Fontname.tfm 2>junk.out > fontline.out
type fontline.out | ..\sed s/Fontname// > fontname.out
FOR /F %%A in ('type fontname.out') DO (
@echo off
set FNTNM=%%A
)
echo %FNTNM%
echo.
del Fontname.afm Fontname.tfm junk.out fontline.out fontname.out
:THEEND
If I forgot any files, let me know.
p.s. I should just add that, after I installed a font, I kept a style file with commands like
\newcommand{\AlteSchwabacher}[1][]{\fontfamily{AlteSchwabacher}%
#1\selectfont}
so that \Alteschwabacher would place me in that font. The optional argument is for any other specifications I want at time of invocation, for example
\fontsize{30}{36}
EDITED to use \clipbox instead of white \rule overlay.
\documentclass{article}
\usepackage{amssymb,xcolor,trimclip}
\def\opendot{\mathbin{\clipbox{0pt 0pt .55ex 0pt}{$\odot$}}}
\begin{document}
$\sum_{n=0}^{+\infty} a_n \opendot \sum_{n=0}^{+\infty} b_n :=
\sum_{n=0}^{+\infty} c_n$
\end{document}
ADDENDUM:
Apparently, the web-based input available to the OP did not allow for the clipped solution. However, I suggested (in the comments) something akin to {{\textsf{C}\kern-.85ex\raisebox{.9pt}{$\cdot$}\kern .25ex} which sufficed for the needs of the OP.
\documentclass{article}
\begin{document}
$x\mathbin{\textsf{C}\kern-.85ex\raisebox{.9pt}{$\cdot$}\kern .25ex}y$
\end{document}
Best Answer
The only challenging one is the fourth in the list.
Of course you want to make a new command for it.