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MathType Output Translator 1.0: "TeX -- AMS-LaTeX", "AMS-LaTeX translator v1.00 by Design Science, Inc."



// Copyright (c) 1998-2003 by Design Science, Inc.

// License: You are allowed to create your own translators based on the contents of this file

// solely for use with MathType. It is recommended that you change the filename, title, and description

// in the first line of this file so as to reflect your modifications and the change of author and purpose.

// Design Science, Inc. is not responsible for any damages caused by the use of this file or derived works.



// $Header: /MathType/Translators/AMS LaTeX.tdl 11    8/19/03 1:43p Jackd $



// include TeXBase.tdl for common control sequences, etc.



include "TeX (base).tdl";



// include TeXChars.tdl for character defintions common to all dialects of TeX



include "TeX (chars).tdl";



// include some AMS translations



include "TeX (AMS base).tdl";



// =====================================================

// Basic Translation Strings

// =====================================================



eqn         = "<StdStartCmt><EqnDataCmt>\[@n#@n\]@n<StdEndCmt>";       //  \[ <eqn> \]  -- display equation translation 



// =====================================================

// Default Translation Strings

// =====================================================

 

deffunc     = "\operatorname{#} ";	//  default function translation 

defchar     = error "@nNo translation available for <FullDesc>. @nPlease add a translation for  @"<Cmd>@"  in the file 'AMS LaTeX.tdl'.";    //  default character translation 

deftmpl     = error "@nNo translation available for <Desc>. @nPlease add a translation for  @"<Cmd>@"  in the file 'AMS LaTeX.tdl.'";        //  default template translation 

defemb      = error "@nNo translation available for <Desc>. @nPlease add a translation for  @"<Cmd>@"  in the file 'AMS LaTeX.tdl.'";        //  default embellishment translation 



run/text         = "{\text{#}}";      // run of Text style characters 

run/vector       = "{\mathbf{#}}";    // run of Vector style characters 



// =====================================================

// Piles

// =====================================================



// Pile translation (default, embedded)

pile      = "\begin{gathered}@n  # \\ @n  # \\ @n\end{gathered} ";                   // default

pile/l    = "\begin{gathered}@n  # \hfill \\@n  # \hfill \\ @n\end{gathered} ";      // left justified

pile/c    = "\begin{gathered}@n  # \\ @n  # \\ @n\end{gathered} ";                   // centered

pile/r    = "\begin{gathered}@n  \hfill # \\@n  \hfill # \\ @n\end{gathered} ";      // right justified

pile/al   = "\begin{aligned}@n  # \\ @n  # \\ @n\end{aligned} ";                     // aligned at alignment mark



// Top level pile translation

pile/t      = "\begin{gathered}@n  # \\ @n  # \\ @n\end{gathered} ";                   // default

pile/t/l    = "\begin{gathered}@n  # \hfill \\@n  # \hfill \\ @n\end{gathered} ";      // left justified

pile/t/c    = "\begin{gathered}@n  # \\ @n  # \\ @n\end{gathered} ";                   // centered

pile/t/r    = "\begin{gathered}@n  \hfill # \\@n  \hfill # \\ @n\end{gathered} ";      // right justified

pile/t/al   = "\begin{aligned}@n  # \\ @n  # \\ @n\end{aligned} ";                     // aligned at alignment mark



// 2-line limit pile translation (as in limit of summation)

pile/lim/2        = "\substack{ #1 \\ #2 } ";                                              // default 

pile/lim/2/l      = "\begin{subarray}{l} @n  #1 \\ @n  #2 @n\end{subarray} ";              // left justified

pile/lim/2/c      = "\substack{ #1 \\ #2 } ";                                              // centered    

pile/lim/2/r      = "\begin{subarray} @n \hfill #1 \\ @n \hfill #2 @n\end{subarray} ";     // right justified



// 3-line limit pile translation (as in limit of summation)

pile/lim/3        = "\substack{ #1 \\ #2 \\ #3 } ";                                                         // default 

pile/lim/3/l      = "\begin{subarray}{l} @n  #1 \\ @n  #2 \\ @n  #3 @n\end{subarray} ";                     // left justified

pile/lim/3/c      = "\substack{ #1 \\ #2 \\ #3 } ";                                                         // centered

pile/lim/3/r      = "\begin{subarray} @n  \hfill #1 \\ @n  \hfill #2 \\ @n  \hfill #3 @n\end{subarray} ";   // right justified



// =====================================================

// Matrices and Matrix Elements

// =====================================================



// Matrix translation (not allowing for partition lines, but better spacing)

// matrix      = "\begin{matrix}@n#@n \end{matrix} ";      



// Matrix translation (allowing for partition lines, but worse spacing)

matrix      = "\begin{array}{*{20}c}@n#@n \end{array} ";      

 

// Matrix row translation

matrow   = "  # \\@n";





// =====================================================

// Partition Lines for Matrices & Tables

// =====================================================



//  Horizontal matrix partition lines (solid, dashed, dotted)

//  Only solid lines are supported in TeX

hline       = "\hline@n";           // Solid

hline/dash  = "\hline@n";           // Dashed 

hline/dot   = "\hline@n";           // Dotted



//  Vertical matrix partition lines (solid, dashed, dotted)

//  Only solid lines are supported in TeX

vline       = "\vline & ";          // Solid

vline/dash  = "\vline & ";          // Dashed

vline/dot   = "\vline & ";          // Dotted



// =====================================================

// Strike-through templates

// =====================================================

// strike/m = "?"       // Mid-line strike-through 

// strike = "?"         // Strike-through 

// strike/up = "?"      // Strike-through (bottom-left to upper-right)

// strike/dn = "?"      // Strike-through (top-left to bottom-right)



// =====================================================

// Roots and Long Division

// =====================================================



root/nth   = "\sqrt[#2]{#1}";       // higher root 



// =====================================================

// Arrows with Slots Above and Below

// =====================================================



arrow       = "\xrightarrow{#1}";                           // right arrow, box on top 

arrow/l     = "\xleftarrow{#1}";                            // left arrow, box on top 

arrow/lr    = "\overset #1 \longleftrightarrow ";           // both arrow, box on top 

arrow/b     = "\xrightarrow[#2]{}";                         // right arrow, box on bottom 

arrow/l/b   = "\xleftarrow[#2]{}";                          // left arrow, box on bottom 

arrow/lr/b  = "\underset #2 \longleftrightarrow ";          // both arrow, box on bottom 



arrow/tb      = "\xrightarrow[#2]{#1}";                                // Right arrow with upper & lower text slots 

arrow/l/tb    = "\xleftarrow[#2]{#1}";                                 // Left arrow with upper & lower text slots 

arrow/lr/tb   = "\underset{#2}{\overset{#1}{\longleftrightarrow}}";    // Double-headed arrow with upper & lower text slots 



arrow/2       = "\overset #1 \leftrightarrows ";     // Double arrow with upper text slot 

arrow/2/b     = "\underset #2 \leftrightarrows ";             // Double arrow with lower text slot 

arrow/2/tb    = "\underset{#2}{\overset{#1}{\longleftrightarrow}}";            // Double arrow with upper & lower text slots 

// arrow/2/los = "?"           // Large over small arrow with upper text slot 

// arrow/2/los/b = "?"         // Large over small arrow with lower text slot 

// arrow/2/los/tb = "?"        // Large over small arrow with upper & lower text slots 

// arrow/2/sol = "?"           // Small over large arrow with upper text slot 

// arrow/2/sol/b = "?"         // Small over large arrow with lower text slot 

// arrow/2/sol/tb = "?"        // Small over large arrow with upper & lower text slots 

// arrow/2/h = "?"             // Harpoons with upper text slot 

// arrow/2/h/b = "?"           // Harpoons with lower text slot 

// arrow/2/h/tb = "?"          // Harpoons with upper & lower text slots 

// arrow/2/h/los = "?"         // Large over small harpoon with upper text slot 

// arrow/2/h/los/b = "?"       // Large over small harpoon with lower text slot 

// arrow/2/h/los/tb = "?"      // Large over small harpoon with upper & lower text slots 

// arrow/2/h/sol = "?"         // Small over large harpoon with upper text slot 

// arrow/2/h/sol/b = "?"       // Small over large harpoon with lower text slot 

// arrow/2/h/sol/tb = "?"      // Small over large harpoon with upper & lower text slots 



// =====================================================

// Hats, Tildes, Smiles & Frowns (wide ones, over several characters)

// =====================================================



// arc = "?"                    // Arc 

// jstat = "?"                  // Joint status 

// vec/h = "?"                  // Right harpoon over-bar 

// vec/u/h = "?"                // Right harpoon under-bar 



// =====================================================

// Embellishment Translations

// =====================================================



edot/3         = "\dddot #";       // three dot over

edot/4         = "\ddddot #";      // four dots over

edot/u        = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{#} ";           // one dot under

edot/u/2      = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot\cdot}$}}{#} ";      // two dots under

edot/u/3      = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdots}$}}{#} ";          // three dot under

edot/u/4      = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot\cdot\cdot\cdot}$}}{#} ";  // four dots under

etilde/u     = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{#} ";  // tilde under

evec/l       = "\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{#} ";         // Left arrow above

evec/lr      = "\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftrightarrow}$}} {#} ";   // Left-right arrow above

evec/h       = "\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {#} ";   // Right harpoon above

evec/h/l     = "\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftharpoonup}$}} {#} ";    // Left harpoon above

evec/u       = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\rightarrow}$}}{#} ";       // Right arrow above

evec/u/l     = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{#} ";        // Left arrow above

evec/u/lr    = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\leftrightarrow}$}} {#} ";  // Left-right arrow above

evec/u/h     = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {#} ";  // Right harpoon above

evec/u/h/l   = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\leftharpoonup}$}} {#} ";   // Left harpoon above

eubar      = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{#} ";            // Under bar

earc       = "\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{#} ";        // Frown above

earc/s     = "\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{#} ";        // Smile above

earc/u     = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\frown}$}}{#} ";       // Frown below

earc/u/s   = "\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\smile}$}}{#} ";       // Smile below





// =====================================================

// Script, Fraktur, Blackboard Bold, etc.

// =====================================================



char/0x2102     = "\mathbb{C}";            // Blackboard-bold capital C

char/0x210B     = "\mathcal{H}";           // Script capital H

char/0x210C     = "\mathfrak{H}";          // Fraktur capital H

char/0x210D     = "\mathbb{H}";            // Blackboard-bold capital H

char/0x2110     = "\mathcal{I}";           // Script capital I

char/0x2112     = "\mathcal{L}";           // Script capital L

char/0x2115     = "\mathbb{N}";            // Blackboard-bold capital N

char/0x2119     = "\mathbb{P}";            // Blackboard-bold capital P

char/0x211A     = "\mathbb{Q}";            // Blackboard-bold capital Q

char/0x211B     = "\mathcal{R}";           // Script capital R

char/0x211D     = "\mathbb{R}";            // Blackboard-bold capital R

char/0x2124     = "\mathbb{Z}";            // Blackboard-bold capital Z

char/0x2128     = "\mathfrak{X}";          // Fraktur capital X

char/0x212C     = "\mathcal{B}";           // Script capital B

char/0x212D     = "\mathfrak{C}";          // Fraktur capital C

char/0x2130     = "\mathcal{E}";           // Script capital E

char/0x2131     = "\mathcal{F}";           // Script capital F

char/0x2133     = "\mathcal{M}";           // Script capital M





// =====================================================

// Other More Exotic Character Translations

// =====================================================



char/0x221B     = "\sqrt[3]{\mathstrut} ";       // Cube root

char/0x221C     = "\sqrt[4]{\mathstrut} ";       // Fourth root

//char/0x2237     = "  ";                          // Proportion

//char/0x2239     = "  ";                          // Excess

//char/0x223A     = "  ";                          // Geometric proportion

//char/0x223B     = "  ";                          // Homothetic

//char/0x223E     = "  ";                          // Inverted lazy s

//char/0x223F     = "  ";                          // Sine wave

//char/0x224B     = "  ";                          // Triple tilde

char/0x2258     = " \overset{\lower1em\hbox{$\scriptstyle\frown$}}{=} ";    // Corresponds to

char/0x2259     = " \overset{\wedge}{=}";        // Estimates

char/0x225A     = " \overset{\vee}{=}";          // Equiangular to

char/0x225B     = " \overset{\lower1em\hbox{$\scriptstyle\star$}}{=} ";                         // Star equals

char/0x225D     = " \overset{\text{def}}{=}";    // Equal to by definition

char/0x225E     = " \overset{\wedge}{=}";        // Measured by

char/0x225F     = " \overset{?}{=}";             // Questioned equal to

//char/0x2263     = "  ";                          // Strictly equivalent to

//char/0x228C     = "  ";                          // Multiset

//char/0x228D     = "  ";                          // Multiset multiplication

//char/0x229C     = "  ";                          // Circled equals

//char/0x22AB     = "  ";                          // Double vertical bar double right turnstile

//char/0x22B0     = "  ";                          // Precedes under relation

//char/0x22B1     = "  ";                          // Succeeds under relation

//char/0x22B6     = "  ";                          // Original of

//char/0x22B7     = "  ";                          // Image of

//char/0x22B9     = "  ";                          // Hermitian conjugate matrix

//char/0x22BE     = "  ";                          // Right angle with arc

//char/0x22BF     = "  ";                          // Right triangle



// =====================================================

// Fraktur (black) letters

// =====================================================



char/0xF000     = "\mathfrak{A}";           // Fraktur capital A

char/0xF001     = "\mathfrak{B}";           // Fraktur capital B

char/0xF002     = "\mathfrak{C}";           // Fraktur capital C

char/0xF003     = "\mathfrak{D}";           // Fraktur capital D

char/0xF004     = "\mathfrak{E}";           // Fraktur capital E

char/0xF005     = "\mathfrak{F}";           // Fraktur capital F

char/0xF006     = "\mathfrak{G}";           // Fraktur capital G

char/0xF007     = "\mathfrak{H}";           // Fraktur capital H

char/0xF008     = "\mathfrak{I}";           // Fraktur capital I

char/0xF009     = "\mathfrak{J}";           // Fraktur capital J

char/0xF00A     = "\mathfrak{K}";           // Fraktur capital K

char/0xF00B     = "\mathfrak{L}";           // Fraktur capital L

char/0xF00C     = "\mathfrak{M}";           // Fraktur capital M

char/0xF00D     = "\mathfrak{N}";           // Fraktur capital N

char/0xF00E     = "\mathfrak{O}";           // Fraktur capital O

char/0xF00F     = "\mathfrak{P}";           // Fraktur capital P

char/0xF010     = "\mathfrak{Q}";           // Fraktur capital Q

char/0xF011     = "\mathfrak{R}";           // Fraktur capital R

char/0xF012     = "\mathfrak{S}";           // Fraktur capital S

char/0xF013     = "\mathfrak{T}";           // Fraktur capital T

char/0xF014     = "\mathfrak{U}";           // Fraktur capital U

char/0xF015     = "\mathfrak{V}";           // Fraktur capital V

char/0xF016     = "\mathfrak{W}";           // Fraktur capital W

char/0xF017     = "\mathfrak{X}";           // Fraktur capital X

char/0xF018     = "\mathfrak{Y}";           // Fraktur capital Y

char/0xF019     = "\mathfrak{Z}";           // Fraktur capital Z

char/0xF01A     = "\mathfrak{a}";           // Fraktur small a

char/0xF01B     = "\mathfrak{b}";           // Fraktur small b

char/0xF01C     = "\mathfrak{c}";           // Fraktur small c

char/0xF01D     = "\mathfrak{d}";           // Fraktur small d

char/0xF01E     = "\mathfrak{e}";           // Fraktur small e

char/0xF01F     = "\mathfrak{f}";           // Fraktur small f

char/0xF020     = "\mathfrak{g}";           // Fraktur small g

char/0xF021     = "\mathfrak{h}";           // Fraktur small h

char/0xF022     = "\mathfrak{i}";           // Fraktur small i

char/0xF023     = "\mathfrak{j}";           // Fraktur small j

char/0xF024     = "\mathfrak{k}";           // Fraktur small k

char/0xF025     = "\mathfrak{l}";           // Fraktur small l

char/0xF026     = "\mathfrak{m}";           // Fraktur small m

char/0xF027     = "\mathfrak{n}";           // Fraktur small n

char/0xF028     = "\mathfrak{o}";           // Fraktur small o

char/0xF029     = "\mathfrak{p}";           // Fraktur small p

char/0xF02A     = "\mathfrak{q}";           // Fraktur small q

char/0xF02B     = "\mathfrak{r}";           // Fraktur small r

char/0xF02C     = "\mathfrak{s}";           // Fraktur small s

char/0xF02D     = "\mathfrak{t}";           // Fraktur small t

char/0xF02E     = "\mathfrak{u}";           // Fraktur small u

char/0xF02F     = "\mathfrak{v}";           // Fraktur small v

char/0xF030     = "\mathfrak{w}";           // Fraktur small w

char/0xF031     = "\mathfrak{x}";           // Fraktur small x

char/0xF032     = "\mathfrak{y}";           // Fraktur small y

char/0xF033     = "\mathfrak{z}";           // Fraktur small z



// =====================================================

// Double-struck (Blackboard bold) characters

// =====================================================



char/0xF080     = "\mathbb{A}";             // Blackboard-bold capital A

char/0xF081     = "\mathbb{B}";             // Blackboard-bold capital B

char/0xF082     = "\mathbb{C}";             // Blackboard-bold capital C

char/0xF083     = "\mathbb{D}";             // Blackboard-bold capital D

char/0xF084     = "\mathbb{E}";             // Blackboard-bold capital E

char/0xF085     = "\mathbb{F}";             // Blackboard-bold capital F

char/0xF086     = "\mathbb{G}";             // Blackboard-bold capital G

char/0xF087     = "\mathbb{H}";             // Blackboard-bold capital H

char/0xF088     = "\mathbb{I}";             // Blackboard-bold capital I

char/0xF089     = "\mathbb{J}";             // Blackboard-bold capital J

char/0xF08A     = "\mathbb{K}";             // Blackboard-bold capital K

char/0xF08B     = "\mathbb{L}";             // Blackboard-bold capital L

char/0xF08C     = "\mathbb{M}";             // Blackboard-bold capital M

char/0xF08D     = "\mathbb{N}";             // Blackboard-bold capital N

char/0xF08E     = "\mathbb{O}";             // Blackboard-bold capital O

char/0xF08F     = "\mathbb{P}";             // Blackboard-bold capital P

char/0xF090     = "\mathbb{Q}";             // Blackboard-bold capital Q

char/0xF091     = "\mathbb{R}";             // Blackboard-bold capital R

char/0xF092     = "\mathbb{S}";             // Blackboard-bold capital S

char/0xF093     = "\mathbb{T}";             // Blackboard-bold capital T

char/0xF094     = "\mathbb{U}";             // Blackboard-bold capital U

char/0xF095     = "\mathbb{V}";             // Blackboard-bold capital V

char/0xF096     = "\mathbb{W}";             // Blackboard-bold capital W

char/0xF097     = "\mathbb{X}";             // Blackboard-bold capital X

char/0xF098     = "\mathbb{Y}";             // Blackboard-bold capital Y

char/0xF099     = "\mathbb{Z}";             // Blackboard-bold capital Z

char/0xF0A4     = "\Bbbk ";                 // Blackboard-bold small k



// =====================================================

// Script (calligraphic) characters

// =====================================================



char/0xF100     = "\mathcal{A}";            // Script capital A

char/0xF101     = "\mathcal{B}";            // Script capital B

char/0xF102     = "\mathcal{C}";            // Script capital C

char/0xF103     = "\mathcal{D}";            // Script capital D

char/0xF104     = "\mathcal{E}";            // Script capital E

char/0xF105     = "\mathcal{F}";            // Script capital F

char/0xF106     = "\mathcal{G}";            // Script capital G

char/0xF107     = "\mathcal{H}";            // Script capital H

char/0xF108     = "\mathcal{I}";            // Script capital I

char/0xF109     = "\mathcal{J}";            // Script capital J

char/0xF10A     = "\mathcal{K}";            // Script capital K

char/0xF10B     = "\mathcal{L}";            // Script capital L

char/0xF10C     = "\mathcal{M}";            // Script capital M

char/0xF10D     = "\mathcal{N}";            // Script capital N

char/0xF10E     = "\mathcal{O}";            // Script capital O

char/0xF10F     = "\mathcal{P}";            // Script capital P

char/0xF110     = "\mathcal{Q}";            // Script capital Q

char/0xF111     = "\mathcal{R}";            // Script capital R

char/0xF112     = "\mathcal{S}";            // Script capital S

char/0xF113     = "\mathcal{T}";            // Script capital T

char/0xF114     = "\mathcal{U}";            // Script capital U

char/0xF115     = "\mathcal{V}";            // Script capital V

char/0xF116     = "\mathcal{W}";            // Script capital W

char/0xF117     = "\mathcal{X}";            // Script capital X

char/0xF118     = "\mathcal{Y}";            // Script capital Y

char/0xF119     = "\mathcal{Z}";            // Script capital Z