X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fstyle%2Fmmlctop.xsl;fp=helm%2Fstyle%2Fmmlctop.xsl;h=0000000000000000000000000000000000000000;hb=3ef089a4c58fbe429dd539af6215991ecbe11ee2;hp=554c3a87be33d72027f1d591ea536d82a7a0e336;hpb=1c7fb836e2af4f2f3d18afd0396701f2094265ff;p=helm.git

diff --git a/helm/style/mmlctop.xsl b/helm/style/mmlctop.xsl
deleted file mode 100644
index 554c3a87b..000000000
--- a/helm/style/mmlctop.xsl
+++ /dev/null
@@ -1,3985 +0,0 @@
-<?xml version="1.0"?>
-
-<!-- ******************************************************** -->
-<!--   XSL Transform of MathML content to MathML presentation -->
-<!--                                                          -->
-<!--   Authors Igor Rodionov <igor@csd.uwo.ca>,               -->
-<!--           Stephen Watt  <watt@csd.uwo.ca>.               -->  
-<!--                                                          -->
-<!--   (C) Copyright 2000  Symbolic Computation Laboratory,   -->
-<!--                       University of Western Ontario,     -->
-<!--                       London, Canada N6A 5B7.            -->
-<!--                                                          -->
-<!-- ******************************************************** -->
-<!--   Updated Nov. 2001 by:                                  -->
-<!--           S. Huerter <huerter@csd.uwo.ca>.               -->
-<!--                                                          -->
-<!--   Complies with the W3C MathML 2.0 Recommendation of     -->
-<!--   21 February 2001.                                      -->
-<!-- ******************************************************** -->
-
-<!-- ====================================================== -->
-<!--  April, 10 2002 - HELM group:                          -->
-<!--  Added the namespace prefix to all the output elements -->
-<!--  (see 7.1.1.2)                                         -->
-<!--  Changed the mml prefix into m (see A.3)               -->
-<!--  Added xref to every mo element                        -->
-<!--  New csymbol template                                  -->
-<!--  reln is not supported                                 -->
-<!--  HELM tag used for changes                             -->
-<!--  First draft: April 10 2002, Irene Schena              -->
-<!-- ====================================================== -->
-
-<xsl:stylesheet id="mmlctop.xsl"
-                version="1.0"
-                xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
-                xmlns:m="http://www.w3.org/1998/Math/MathML">
-
-<!-- HELM: we don't have a default namespace.
-     Removed xmlns="http://www.w3.org/1998/Math/MathML" -->
-
-<!-- HELM: was
-<xsl:output method="xml" indent="yes"/>
-     only for HELM!
--->
-<xsl:output method="xml"/>
-
-<xsl:strip-space elements="apply semantics annotation-xml
-        csymbol fn cn ci interval matrix matrixrow vector
-        lambda bvar condition logbase degree set list
-        lowlimit uplimit"/>
-
-
-<!-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -->
-<!--         Parameters, variables and constants           -->
-<!-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -->
-
-<!-- ~~~~~~~~ Semantics related *constants*: ~~~~~~~~ -->
-
-<!-- Strip off semantics -->
-<xsl:variable name="SEM_STRIP" select="-1"/>
-
-<!-- Pass semantics "as is" -->
-<xsl:variable name="SEM_PASS" select="0"/>
-
-<!-- Add semantics at top level only -->
-<xsl:variable name="SEM_TOP" select="1"/>
-
-<!-- Add semantics at all levels -->
-<xsl:variable name="SEM_ALL" select="2"/>
-
-<!-- Semantics at top level only, with id refs -->
-<!-- NOTE: ids have to be already present in the
-           input for this feature to work. -->
-<xsl:variable name="SEM_XREF" select="3"/>
-
-<!-- No semantics at top level, with id refs -->
-<!-- NOTE: ids have to be already present in the
-           input for this feature to work. -->
-<xsl:variable name="SEM_XREF_EXT" select="4"/>
-
-
-<!-- ~~~~~~~~~~ Stylesheet *parameter*: SEM_SW ~~~~~~~~~~~~~~ -->
-<!-- Assumes one of the above values; SEM_PASS is the default -->
-<!-- The default can be overridden by specifying different    -->
-<!-- value on the command line when the stylesheet is invoked -->
-
-<!-- HELM: $SEM_SW was SEM_PASS (error!) -->
-<xsl:param name="SEM_SW" select="$SEM_XREF"/>
-
-
-<!-- ~~~~~~ Operator precedence definitions ~~~~~~ -->
-<xsl:variable name="UNION_OP" select="2"/>
-<xsl:variable name="INTERSECT_OP" select="6"/>
-<xsl:variable name="SETDIFF_OP" select="4"/>
-<xsl:variable name="NO_PREC" select="0"/>
-<xsl:variable name="UNION_PREC" select="1"/>
-<xsl:variable name="SETDIFF_PREC" select="1"/>
-<xsl:variable name="INTERSECT_PREC" select="3"/>
-<xsl:variable name="CARTPROD_PREC" select="3"/>
-<xsl:variable name="OR_PREC" select="5"/>
-<xsl:variable name="XOR_PREC" select="5"/>
-<xsl:variable name="AND_PREC" select="7"/>
-<xsl:variable name="PLUS_PREC" select="9"/>
-<xsl:variable name="MINUS_PREC" select="9"/>
-<xsl:variable name="MUL_PREC" select="11"/>
-<xsl:variable name="DIV_PREC" select="11"/>
-<xsl:variable name="NEG_PREC" select="13"/>
-<xsl:variable name="FUNCTION_PREC" select="99"/>
-
-<!-- ~~~~~ Miscellaneous constant definitions ~~~~~ -->
-
-<xsl:variable name="YES" select="1"/>
-<xsl:variable name="NO" select="0"/>
-<xsl:variable name="NO_PARAM" select="-1"/>
-<xsl:variable name="PAR_SAME" select="-3"/>
-<xsl:variable name="PAR_YES" select="-5"/>
-<xsl:variable name="PAR_NO" select="-7"/>
-<xsl:variable name="DOESNT_MATTER" select="-9"/>
-
-<!-- +++++++++++++++++ INDEX OF TEMPLATES +++++++++++++++++++ -->
-
-<!-- All templates are subdivided into the following categories
-     (listed in the order of appearance in the stylesheet):
-
-THE TOPMOST ELEMENT: MATH
- math
-
-SEMANTICS HANDLING
- semantics
-
-BASIC CONTAINER ELEMENTS
- cn, ci, csymbol
-
-BASIC CONTENT ELEMENTS
- fn, interval, inverse, sep, condition, declare, lambda, compose, ident
-
-     *NEW: apply, piecewise, domain, codomain, image
-
-ARITHMETIC, ALGEBRA & LOGIC
- quotient, exp, factorial, max, min, minus, plus, power, rem, divide,
- times, root, gcd, and, or, xor, not, forall, exists, abs, conjugate,
- arg, real, imaginary
-
-     *NEW: floor, ceiling, lcm
-
-RELATIONS
- neq, approx, tendsto, implies, in, notin, notsubset, notprsubset,
- subset, prsubset, eq, gt, lt, geq, leq, equivalent
-
-CALCULUS
- ln, log, diff, partialdiff, lowlimit, uplimit, bvar, degree,
- logbase, divergence, grad, curl, laplacian
-
-SET THEORY
- set, list, union, intersect, setdiff, card
-
-     *NEW: cartesianproduct
-
-SEQUENCES AND SERIES
- sum, product, limit
-
-     *NEW: int
-
-TRIGONOMETRY
- sin, cos, tan, sec, csc, cot, sinh, cosh, tanh, sech, csch, coth,
- arcsin, arccos, arctan
-
-     *NEW: arcsec, arccsc, arccot, arcsinh, arccosh, arctanh,
-           arcsech, arccsch, arccoth, 
-
-STATISTICS
- mean, sdev, variance, median, mode, moment
-
-LINEAR ALGEBRA
- vector, matrix, matrixrow, determinant, transpose, selector,
- vectorproduct, scalarproduct, outerproduct
--->
-
-
-<!-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -->
-<!-- ~~~~~~~~~~~~~~~~~~~~~~~~~ TEMPLATES ~~~~~~~~~~~~~~~~~~~~~~~~~ -->
-<!-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -->
-
-
-<!-- ***************** THE TOPMOST ELEMENT: MATH ***************** -->
-
-<xsl:template match = "m:math">
-<!-- HELM:  <m:math> only for HELM! -->
-  <xsl:choose>
-    <xsl:when test="$SEM_SW=$SEM_TOP or $SEM_SW=$SEM_ALL and *[2] or $SEM_SW=$SEM_XREF">             <m:semantics>                                                       
-    <m:mrow>                                                         
-          <xsl:apply-templates mode = "semantics"/>
-        </m:mrow>
-        <m:annotation-xml encoding="MathML">
-          <xsl:copy-of select="*"/>
-        </m:annotation-xml>
-      </m:semantics>
-    </xsl:when>
-    <xsl:otherwise>
-      <m:mrow>
-        <xsl:apply-templates mode = "semantics"/>
-      </m:mrow>  
-    </xsl:otherwise>
-  </xsl:choose>
-<!-- HELM: </m:math> -->
-</xsl:template>
-
-
-<!-- ***************** SEMANTICS HANDLING ***************** -->
-
-<!-- This template is called recursively.  At each level   -->
-<!-- in the source tree it decides whether to strip off,   -->
-<!-- pass or add semantics at that level (depending on the -->
-<!-- value of SEM_SW parameter).  Then the actual template -->
-<!-- is applied to the node.                               -->
-
-<xsl:template match = "m:*" mode = "semantics">
-  <xsl:param name="IN_OP" select="$DOESNT_MATTER"/>
-  <xsl:param name="IN_PREC" select="$NO_PREC"/>
-  <xsl:param name="PARAM" select="$NO_PARAM"/>
-  <xsl:param name="PAREN" select="$PAR_NO"/>
-  <xsl:param name="PAR_NO_IGNORE" select="$YES"/>
-  <xsl:choose>
-    <xsl:when test="$SEM_SW=$SEM_STRIP and self::m:semantics">
-      <xsl:apply-templates select="m:annotation-xml[@encoding='MathML']">
-        <xsl:with-param name="IN_OP" select="$IN_OP"/>
-        <xsl:with-param name="IN_PREC" select="$IN_PREC"/>
-        <xsl:with-param name="PARAM" select="$PARAM"/>
-        <xsl:with-param name="PAREN" select="$PAREN"/>
-        <xsl:with-param name="PAR_NO_IGNORE" select="$PAR_NO_IGNORE"/>
-      </xsl:apply-templates>
-    </xsl:when>
-    <xsl:when test="($SEM_SW=$SEM_PASS or $SEM_SW=$SEM_TOP) and self::m:semantics">
-      <m:semantics>
-        <xsl:apply-templates select="*[1]">   
-        <xsl:with-param name="IN_OP" select="$IN_OP"/>
-        <xsl:with-param name="IN_PREC" select="$IN_PREC"/>
-        <xsl:with-param name="PARAM" select="$PARAM"/>
-        <xsl:with-param name="PAREN" select="$PAREN"/>
-        <xsl:with-param name="PAR_NO_IGNORE" select="$PAR_NO_IGNORE"/>
-      </xsl:apply-templates>
-        <xsl:copy-of select="m:annotation-xml"/>
-      </m:semantics>
-    </xsl:when>
-    <xsl:when test="$SEM_SW=$SEM_ALL">
-      <m:semantics>
-        <xsl:choose>
-          <xsl:when test="self::m:semantics">
-            <xsl:apply-templates select="*[1]">
-              <xsl:with-param name="IN_OP" select="$IN_OP"/>
-              <xsl:with-param name="IN_PREC" select="$IN_PREC"/>
-              <xsl:with-param name="PARAM" select="$PARAM"/>
-              <xsl:with-param name="PAREN" select="$PAREN"/>
-              <xsl:with-param name="PAR_NO_IGNORE" select="$PAR_NO_IGNORE"/>
-            </xsl:apply-templates>
-            <xsl:copy-of select="m:annotation-xml"/>
-          </xsl:when>
-          <xsl:otherwise>
-            <xsl:apply-templates select=".">
-              <xsl:with-param name="IN_OP" select="$IN_OP"/>
-              <xsl:with-param name="IN_PREC" select="$IN_PREC"/>
-              <xsl:with-param name="PARAM" select="$PARAM"/>
-              <xsl:with-param name="PAREN" select="$PAREN"/>
-              <xsl:with-param name="PAR_NO_IGNORE" select="$PAR_NO_IGNORE"/>
-            </xsl:apply-templates>
-            <m:annotation-xml encoding="MathML">
-              <xsl:copy-of select="."/>
-            </m:annotation-xml>
-          </xsl:otherwise>
-        </xsl:choose>
-      </m:semantics>
-    </xsl:when>
-    <xsl:when test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:choose>
-<!-- HELM: syntax error, was sematics -->
-        <xsl:when test="self::m:semantics">
-          <xsl:copy>
-            <xsl:copy-of select="@*"/>
-            <xsl:attribute name="xref">
-              <xsl:value-of select="@id"/>
-            </xsl:attribute>
-            <xsl:copy-of select="*[1]"/>
-            <xsl:copy-of select="m:annotation-xml"/>
-          </xsl:copy>
-        </xsl:when>
-        <xsl:otherwise>
-          <xsl:apply-templates select=".">
-            <xsl:with-param name="IN_OP" select="$IN_OP"/>
-            <xsl:with-param name="IN_PREC" select="$IN_PREC"/>
-            <xsl:with-param name="PARAM" select="$PARAM"/>
-            <xsl:with-param name="PAREN" select="$PAREN"/>
-            <xsl:with-param name="PAR_NO_IGNORE" select="$PAR_NO_IGNORE"/>
-          </xsl:apply-templates>
-        </xsl:otherwise>
-      </xsl:choose>
-    </xsl:when>
-    <xsl:otherwise>
-      <xsl:choose>
-        <xsl:when test="self::m:semantics">
-          <xsl:copy-of select="."/>
-        </xsl:when>
-        <xsl:otherwise>
-          <xsl:apply-templates select=".">
-            <xsl:with-param name="IN_OP" select="$IN_OP"/>
-            <xsl:with-param name="IN_PREC" select="$IN_PREC"/>
-            <xsl:with-param name="PARAM" select="$PARAM"/>
-            <xsl:with-param name="PAREN" select="$PAREN"/>
-            <xsl:with-param name="PAR_NO_IGNORE" select="$PAR_NO_IGNORE"/>
-          </xsl:apply-templates>
-        </xsl:otherwise>
-      </xsl:choose>
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:semantics">
-  <xsl:apply-templates select="." mode = "semantics"/>
-</xsl:template>
-
-
-<!-- ***************** BASIC CONTAINER ELEMENTS ***************** -->
-
-<xsl:template match = "m:cn">
-  <xsl:param name="IN_PREC" select="$NO_PREC"/>
-  <xsl:param name="PAREN" select="$PAR_NO"/>
-  <xsl:param name="PAR_NO_IGNORE" select="$YES"/>
-  <xsl:choose>
-    <xsl:when test=". &lt; 0 and $IN_PREC &gt; $NO_PREC and $PAREN=$PAR_NO
-                                                   and $PAR_NO_IGNORE=$NO">
-      <m:mfenced separators="">
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="@id"/>
-          </xsl:attribute>
-        </xsl:if>
-        <xsl:apply-templates select="." mode="cn"/>
-      </m:mfenced>
-    </xsl:when>
-    <xsl:otherwise>
-      <xsl:choose>
-        <xsl:when test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-          <xsl:apply-templates select="." mode="cnid"/>
-        </xsl:when>
-        <xsl:otherwise>
-          <xsl:apply-templates select="." mode="cn"/>
-        </xsl:otherwise>
-      </xsl:choose>
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<!-- HELM: the entity &#x2062; is not defined -->
-<xsl:template match = "m:cn" mode="cn">
-  <xsl:choose>
-    <xsl:when test="@base and (not(@type) or @type='integer' or @type='real')">
-      <m:msub>
-        <m:mn> <xsl:apply-templates mode = "semantics"/> </m:mn>
-        <m:mn> <xsl:value-of select="@base"/> </m:mn>
-      </m:msub>
-    </xsl:when>
-    <xsl:when test="@type='e-notation' and not(@base) and child::m:sep[1]">
-        <m:mn> <xsl:apply-templates select="text()[1]" mode = "semantics"/> </m:mn>
-        <m:mo> <xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text> </m:mo>
-        <m:mo>e</m:mo>
-        <m:mo> <xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text> </m:mo>
-        <m:mn> <xsl:value-of select="text()[2]"/> </m:mn>
-  </xsl:when>
-    <xsl:when test="@type='complex' and not(@base) and child::m:sep[1]">
-      <m:mfenced separators="">
-        <m:mn> <xsl:apply-templates select="text()[1]" mode = "semantics"/> </m:mn>
-        <xsl:if test="text()[2] &lt; 0">
-          <m:mo>-</m:mo>
-          <m:mn> <xsl:value-of select="-text()[2]"/> </m:mn>
-        </xsl:if>
-        <xsl:if test="not(text()[2] &lt; 0)">
-          <m:mo>+</m:mo>
-          <m:mn> <xsl:value-of select="text()[2]"/> </m:mn>
-        </xsl:if>
-        <m:mo><xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text> </m:mo>
-        <m:mo>i</m:mo>
-      </m:mfenced>
-    </xsl:when>
-    <xsl:when test="@type='complex' and @base and child::m:sep[1]">
-      <m:msub>
-        <m:mfenced separators="">
-          <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-          <xsl:if test="text()[2] &lt; 0">
-            <m:mo>-</m:mo>
-            <m:mn> <xsl:value-of select="-text()[2]"/> </m:mn>
-          </xsl:if>
-          <xsl:if test="not(text()[2] &lt; 0)">
-            <m:mo>+</m:mo>
-            <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-          </xsl:if>
-          <m:mo><xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text></m:mo>
-          <m:mo>i</m:mo>
-        </m:mfenced>
-        <m:mn> <xsl:value-of select="@base"/> </m:mn>
-      </m:msub>
-    </xsl:when>
-    <xsl:when test="@type='rational' and not(@base) and child::m:sep[1]">
-      <m:mfrac>
-        <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-        <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-      </m:mfrac>
-    </xsl:when>
-    <xsl:when test="@type='rational' and @base and child::m:sep[1]">
-      <m:msub>
-        <m:mfenced>
-          <m:mfrac>
-            <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-            <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-          </m:mfrac>
-        </m:mfenced>
-        <m:mn> <xsl:value-of select="@base"/> </m:mn>
-      </m:msub>
-    </xsl:when>
-    <xsl:when test="@type='polar' and not(@base) and child::m:sep[1]">
-      <m:mrow>
-        <m:mo>Polar</m:mo>
-        <m:mo><xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text> </m:mo>
-        <m:mfenced separators=",">
-          <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-          <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-        </m:mfenced>
-      </m:mrow>
-    </xsl:when>
-    <xsl:when test="@type='polar' and @base and child::m:sep[1]">
-      <m:msub>
-        <m:mrow>
-          <m:mo>Polar</m:mo>
-          <m:mo><xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text></m:mo>
-          <m:mfenced separators=",">
-            <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-            <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-          </m:mfenced>
-        </m:mrow>
-        <m:mn> <xsl:value-of select="@base"/> </m:mn>
-      </m:msub>
-   </xsl:when>
-    <xsl:otherwise>
-<!-- HELM: cn could contain MathML presentation -->
-<!-- HELM: was
-      <m:mn> <xsl:apply-templates mode = "semantics"/> </m:mn>
-     Now is: -->
-    <xsl:choose>
-     <xsl:when test="child::text() and not(*[1])">
-      <m:mn> <xsl:apply-templates mode = "semantics"/> </m:mn>
-     </xsl:when>
-     <xsl:otherwise>
-      <xsl:choose>
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-        <xsl:copy-of select="*[1]"/>
-       </xsl:when>
-       <xsl:otherwise>
-        <m:mrow>
-         <xsl:copy-of select="*|text()"/>
-        </m:mrow>
-       </xsl:otherwise>
-      </xsl:choose>
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-    </xsl:choose>
-<!-- HELM -->
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:cn" mode="cnid">
-  <xsl:choose>
-    <xsl:when test="@base and (not(@type) or @type='integer' or @type='real')">
-      <m:msub xref="{@id}">
-        <m:mn> <xsl:apply-templates mode = "semantics"/> </m:mn>
-        <m:mn> <xsl:value-of select="@base"/> </m:mn>
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-        <m:mn> <xsl:apply-templates select="text()[1]" mode = "semantics"/> </m:mn>
-        <xsl:if test="text()[2] &lt; 0">
-          <m:mo>-</m:mo>
-          <m:mn> <xsl:value-of select="-text()[2]"/> </m:mn>
-        </xsl:if>
-        <xsl:if test="not(text()[2] &lt; 0)">
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-          <m:mn> <xsl:value-of select="text()[2]"/> </m:mn>
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-        <m:mo><xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text></m:mo>
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-          <xsl:if test="text()[2] &lt; 0">
-            <m:mo>-</m:mo>
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-          </xsl:if>
-          <xsl:if test="not(text()[2] &lt; 0)">
-            <m:mo>+</m:mo>
-            <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-          </xsl:if>
-          <m:mo><xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text> </m:mo>
-          <m:mo>i</m:mo>
-        </m:mfenced>
-        <m:mn> <xsl:value-of select="@base"/> </m:mn>
-      </m:msub>
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-    <xsl:when test="@type='rational' and not(@base) and child::m:sep[1]">
-      <m:mfrac xref="{@id}">
-        <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-        <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-      </m:mfrac>
-    </xsl:when>
-    <xsl:when test="@type='rational' and @base and child::m:sep[1]">
-      <m:msub xref="{@id}">
-        <m:mfenced>
-          <m:mfrac>
-            <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-            <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-          </m:mfrac>
-        </m:mfenced>
-        <m:mn> <xsl:value-of select="@base"/> </m:mn>
-      </m:msub>
-    </xsl:when>
-    <xsl:when test="@type='polar' and not(@base) and child::m:sep[1]">
-      <m:mrow xref="{@id}">
-        <m:mo>Polar</m:mo>
-        <m:mo><xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text> </m:mo>
-        <m:mfenced separators=",">
-          <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-          <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-        </m:mfenced>
-      </m:mrow>
-    </xsl:when>
-    <xsl:when test="@type='polar' and @base and child::m:sep[1]">
-      <m:msub xref="{@id}">
-        <m:mrow>
-          <m:mo>Polar</m:mo>
-          <m:mo><xsl:text disable-output-escaping='yes'>&#x2062;</xsl:text> </m:mo>
-          <m:mfenced separators=",">
-            <m:mn> <xsl:apply-templates select="text()[1]"/> </m:mn>
-            <m:mn> <xsl:apply-templates select="text()[2]"/> </m:mn>
-          </m:mfenced>
-        </m:mrow>
-        <m:mn> <xsl:value-of select="@base"/> </m:mn>
-      </m:msub>
-   </xsl:when>
-    <xsl:otherwise>
-<!-- HELM: cn could contain MathML presentation -->
-<!-- HELM: was
-      <m:mn xref="{@id}"> <xsl:apply-templates mode = "semantics"/> </m:mn>
-     Now is: -->
-    <xsl:choose>
-     <xsl:when test="child::text() and not(*[1])">
-      <m:mn xref="{@id}"> <xsl:apply-templates mode = "semantics"/> </m:mn>
-     </xsl:when>
-     <xsl:otherwise>
-      <xsl:variable name="id" select="@id"/>
-      <xsl:choose>
-       <xsl:when test="not(*[2])">
-        <xsl:for-each select="*[1]">
-         <xsl:copy>
-          <xsl:attribute name="xref">
-           <xsl:value-of select="$id"/>
-          </xsl:attribute>
-          <xsl:copy-of select="@*|*"/>
-         </xsl:copy>
-        </xsl:for-each>
-       </xsl:when>
-       <xsl:otherwise>
-        <m:mrow xref="{$id}">
-         <xsl:copy-of select="*|text()"/>
-        </m:mrow>
-       </xsl:otherwise>
-      </xsl:choose>
-     </xsl:otherwise>
-    </xsl:choose>
-<!-- HELM -->
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:ci">
-  <xsl:choose>
-    <xsl:when test="@type='vector' or @type=matrix or @type=set">
-      <m:mi mathvariant="bold">
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="@id"/>
-          </xsl:attribute>
-        </xsl:if>
-        <xsl:apply-templates mode = "semantics"/>
-      </m:mi>
-    </xsl:when>
-    <xsl:when test="child::text() and not(child::*[1])">
-      <m:mi>
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="@id"/>
-          </xsl:attribute>
-        </xsl:if>
-<!-- HELM: ERROR, added mode="semantics", it didn't generate identifiers -->
-        <xsl:apply-templates mode = "semantics"/>
-      </m:mi>
-    </xsl:when>
-<!-- HELM: text & markup !!! Not compliant with the specification -->
-    <xsl:when test="child::text() and *[1] and not(*[1]=m:sep)">
-      <m:mrow>
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="@id"/>
-          </xsl:attribute>
-        </xsl:if>
-<!-- HELM: added semantics mode -->
-        <xsl:apply-templates mode="semantics"/>
-      </m:mrow>
-    </xsl:when>
-<!-- HELM -->
-    <xsl:otherwise>
-      <xsl:if test="*[2]">
-        <m:mrow>
-          <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-            <xsl:attribute name="xref">
-              <xsl:value-of select="@id"/>
-            </xsl:attribute>
-          </xsl:if>
-          <xsl:apply-templates select="*"/>
-        </m:mrow>
-      </xsl:if>
-      <xsl:if test="not(*[2])">
-<!-- HELM: ci could contain MathML presentation -->
-<!-- HELM: was
-        <xsl:apply-templates select="*[1]"/>
-     Now is: -->
-       <xsl:variable name="id" select="@id"/>
-        <xsl:for-each select="*[1]">
-         <xsl:copy>
-          <xsl:attribute name="xref">
-           <xsl:value-of select="$id"/>
-          </xsl:attribute>
-         <xsl:copy-of select="@*|*"/>
-         </xsl:copy>
-        </xsl:for-each>
-<!-- HELM -->
-      </xsl:if>
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:ci/m:*[not(self::m:sep)]">
-  <xsl:copy-of select = "."/>
-</xsl:template>
-
-<!-- HELM: revised version previous Version x.xx from Feb. 18, 2000 -->
-<xsl:template match = "m:csymbol">
-<!-- HELM: mrow to maintain csymbol id -->
-   <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-     <xsl:attribute name="xref">
-      <xsl:value-of select="@id"/>
-     </xsl:attribute>
-    </xsl:if>
-    <xsl:for-each select="* and text()">
-     <xsl:choose>
-     <xsl:when test="text()">
-      <m:mo><xsl:value-of select="."/></m:mo>
-     </xsl:when>
-     <xsl:otherwise>
-      <xsl:copy-of select = "."/>
-     </xsl:otherwise>
-     </xsl:choose>
-    </xsl:for-each>
-   </m:mrow>
-</xsl:template>
-
-<!-- HELM: csymbol cannot contain ci or cn elements, but only text and/or 
-presentation elements. PCDATA should render as if it were wrapped in 
-an mo. Mixed content: mrow which contains mo + presentation elements --> 
-<!-- <xsl:template match = "m:csymbol/m:*">
-  <xsl:choose>
-    <xsl:when test="self::m:cn or self::m:ci">
-      <xsl:apply-templates mode = "semantics"/>
-    </xsl:when>
-    <xsl:otherwise>
-      <xsl:copy-of select = "."/>
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:csymbol/text()">
-  <xsl:choose>
-    <xsl:when test=". &lt; 0 or . = 0 or . &gt; 0">
-      <m:mn> <xsl:copy-of select = "."/> </m:mn>
-    </xsl:when>
-    <xsl:otherwise>
-      <m:mi> <xsl:copy-of select = "."/> </m:mi>
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template> -->
-
-
-<!-- ***************** BASIC CONTENT ELEMENTS ***************** -->
-
-<!-- HELM: the entity &#x2061; is not defined:                -->
-<!-- fn and domainofapplication are rendered as their content -->
-<xsl:template match = "m:apply[m:*[1][self::m:fn]]">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <xsl:apply-templates select = "m:fn[1]" mode = "semantics"/>
-    <m:mo>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:fn/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:fn/@id"/>
-          </xsl:attribute>
-        </xsl:if><xsl:text disable-output-escaping='yes'>&#x2061;</xsl:text></m:mo>
-    <m:mfenced separators=",">
-      <xsl:apply-templates select = "*[position()>1]" mode = "semantics"/>
-    </m:mfenced>
-  </m:mrow>
-</xsl:template>
-
-<!-- fn has been deprecated, so now we use: -->
-<xsl:template match = "m:apply">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <xsl:choose>
-      <xsl:when test="*[2]=m:domainofapplication">
-        <m:msub>
-          <xsl:apply-templates select = "*[position()=1]" mode = "semantics">
-            <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
-          </xsl:apply-templates>
-          <xsl:apply-templates select = "*[position()=2]" mode = "semantics"/>
-          </m:msub>
-          <m:mo>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:domainofapplication/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:domainofapplication/@id"/>
-          </xsl:attribute>
-        </xsl:if><xsl:text disable-output-escaping='yes'>&#x2061;</xsl:text></m:mo>
-          <m:mfenced separators=",">
-            <xsl:apply-templates select = "*[position()>2]" mode = "semantics"/>
-            </m:mfenced>
-          </xsl:when>
-          <xsl:otherwise>
-            <xsl:apply-templates select = "*[position()=1]" mode = "semantics">
-              <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
-            </xsl:apply-templates>
-            <m:mo><xsl:text disable-output-escaping='yes'>&#x2061;</xsl:text></m:mo>
-            <m:mfenced separators=",">
-              <xsl:apply-templates select = "*[position()>1]" mode = "semantics"/>
-              </m:mfenced> 
-            </xsl:otherwise>
-          </xsl:choose>
-        </m:mrow>
-      </xsl:template>
-      
-      <xsl:template match = "m:domainofapplication">
-        <xsl:apply-templates select = "*[1]" mode = "semantics"/> 
-        </xsl:template>
-    
-      <xsl:template match = "m:fn">
-        <xsl:apply-templates select = "*[1]" mode = "semantics">
-          <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
-        </xsl:apply-templates>
-      </xsl:template>
-      
-      <xsl:template match = "m:interval">
-        <m:mfenced separators=",">
-          <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-            <xsl:attribute name="xref">
-              <xsl:value-of select="@id"/>
-            </xsl:attribute>
-          </xsl:if>
-          <xsl:if test="@closure='closed' or @closure='closed-open'">
-            <xsl:attribute name="open">[</xsl:attribute>
-          </xsl:if>
-          <xsl:if test="@closure='closed' or @closure='open-closed'">
-            <xsl:attribute name="close">]</xsl:attribute>
-          </xsl:if>
-          <xsl:apply-templates select="*" mode = "semantics"/>
-          </m:mfenced>
-        </xsl:template>
-        
-        <xsl:template match = "m:apply[m:*[1][self::m:apply[m:inverse[1]]]]">
-          <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <xsl:apply-templates select = "*[1]" mode = "semantics"/>
-    <m:mo><xsl:text disable-output-escaping='yes'>&#x2061;</xsl:text> </m:mo>
-    <m:mfenced separators=",">
-      <xsl:apply-templates select = "*[position()>1]" mode = "semantics"/>
-    </m:mfenced>
- </m:mrow>
-</xsl:template>
-
-<xsl:template match = "m:apply[*[1][self::m:inverse]]">
-  <xsl:choose>
-    <xsl:when test="*[2]=m:exp or *[2]=m:ln or *[2]=m:sin or *[2]=m:cos or
-                    *[2]=m:tan or *[2]=m:sec or *[2]=m:csc or *[2]=m:cot or
-                    *[2]=m:sinh or *[2]=m:cosh or *[2]=m:tanh or *[2]=m:sech or
-                    *[2]=m:csch or *[2]=m:coth or *[2]=m:arcsin or
-                    *[2]=m:arccos or *[2]=m:arctan">
-      <m:mo>
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="@id"/>
-          </xsl:attribute>
-        </xsl:if>
-        <xsl:apply-templates select="*[2]" mode="inverse"/>
-      </m:mo>
-    </xsl:when>
-    <xsl:otherwise>
-      <m:msup>
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="@id"/>
-          </xsl:attribute>
-        </xsl:if>
-        <xsl:apply-templates select = "*[2]"/>
-        <m:mfenced>
-<!-- HELM: xref added -->        
-         <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:inverse/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:inverse/@id"/>
-          </xsl:attribute>
-         </xsl:if>
-         <m:mn>-1</m:mn>
-        </m:mfenced>
-      </m:msup>
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "*" mode="inverse">
-  <xsl:choose>
-    <xsl:when test="self::m:exp">
-      <xsl:value-of select="'ln'"/>
-    </xsl:when>
-    <xsl:when test="self::m:ln">
-      <xsl:value-of select="'exp'"/>
-    </xsl:when>
-    <xsl:when test="self::m:sin">
-      <xsl:value-of select="'arcsin'"/>
-    </xsl:when>
-    <xsl:when test="self::m:cos">
-      <xsl:value-of select="'arccos'"/>
-    </xsl:when>
-    <xsl:when test="self::m:tan">
-      <xsl:value-of select="'arctan'"/>
-    </xsl:when>
-    <xsl:when test="self::m:sec">
-      <xsl:value-of select="'arcsec'"/>
-    </xsl:when>
-    <xsl:when test="self::m:csc">
-      <xsl:value-of select="'arccsc'"/>
-    </xsl:when>
-    <xsl:when test="self::m:cot">
-      <xsl:value-of select="'arccot'"/>
-    </xsl:when>
-    <xsl:when test="self::m:sinh">
-      <xsl:value-of select="'arcsinh'"/>
-    </xsl:when>
-    <xsl:when test="self::m:cosh">
-      <xsl:value-of select="'arccosh'"/>
-    </xsl:when>
-    <xsl:when test="self::m:tanh">
-      <xsl:value-of select="'arctanh'"/>
-    </xsl:when>
-    <xsl:when test="self::m:sech">
-      <xsl:value-of select="'arcsech'"/>
-    </xsl:when>
-    <xsl:when test="self::m:csch">
-      <xsl:value-of select="'arccsch'"/>
-    </xsl:when>
-    <xsl:when test="self::m:coth">
-      <xsl:value-of select="'arccoth'"/>
-    </xsl:when>
-    <xsl:when test="self::m:arcsin">
-      <xsl:value-of select="'sin'"/>
-    </xsl:when>
-    <xsl:when test="self::m:arccos">
-      <xsl:value-of select="'cos'"/>
-    </xsl:when>
-    <xsl:when test="self::m:arctan">
-      <xsl:value-of select="'tan'"/>
-    </xsl:when>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:sep"/>
-
-<xsl:template match = "m:condition">
-  <xsl:choose>
-    <xsl:when test="parent::m:apply[m:forall[1]]"/>
-    <xsl:otherwise>
-      <xsl:choose>
-        <xsl:when test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-          <m:mrow xref="{@id}">
-            <xsl:apply-templates select="*" mode = "semantics"/>
-          </m:mrow>
-        </xsl:when>
-        <xsl:otherwise>
-          <xsl:if test="not(*[2])">
-            <xsl:apply-templates select="*" mode = "semantics"/>
-          </xsl:if>
-          <xsl:if test="*[2]">
-            <m:mrow>
-              <xsl:apply-templates select="*" mode = "semantics"/>
-            </m:mrow>
-          </xsl:if>
-        </xsl:otherwise>
-      </xsl:choose>
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:declare"/>
-
-<xsl:template match = "m:lambda">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <m:mo><xsl:text disable-output-escaping='yes'>&#x039B;</xsl:text> </m:mo>
-    <m:mo><xsl:text disable-output-escaping='yes'>&#x2061;</xsl:text> </m:mo>
-    <m:mfenced separators=",">
-      <xsl:for-each select = "*">
-        <xsl:choose>
-          <xsl:when test="self::m:ci or self::m:cn">
-            <xsl:apply-templates select = "." mode="semantics"/>
-          </xsl:when>
-          <xsl:otherwise>
-            <m:mrow>
-              <xsl:apply-templates select = "." mode="semantics"/>
-            </m:mrow>
-          </xsl:otherwise>
-        </xsl:choose>
-      </xsl:for-each>
-    </m:mfenced>
-  </m:mrow>
-</xsl:template>
-
-<xsl:template match = "m:apply[*[1][self::m:apply[m:compose[1]]]]">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <xsl:apply-templates select = "*[1]" mode = "semantics"/>
-    <m:mo><xsl:text disable-output-escaping='yes'>&#x2061;</xsl:text></m:mo>
-    <m:mfenced separators=",">
-      <xsl:apply-templates select = "*[position()>1]" mode = "semantics"/>
-    </m:mfenced>
- </m:mrow>
-</xsl:template>
-
-<xsl:template match = "m:apply[*[1][self::m:compose]]">
-  <m:mfenced separators="">
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <xsl:apply-templates select = "m:*[2][self::m:ci[@type='fn'] |
-                                       self::m:fn]" mode="semantics"/>
-    <xsl:for-each select = "m:*[position()>2][self::m:ci[@type='fn'] |
-                                                            self::m:fn]">
-      <m:mo>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and ../m:compose/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="../m:compose/@id"/>
-          </xsl:attribute>
-        </xsl:if><xsl:text disable-output-escaping='yes'>&#x2218;</xsl:text></m:mo>
-      <xsl:apply-templates select = "." mode="semantics"/>
-    </xsl:for-each>
-  </m:mfenced>
-</xsl:template>
-
-<xsl:template match = "m:ident">
-  <xsl:choose>
-    <xsl:when test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <m:mo xref="{@id}">id</m:mo>
-    </xsl:when>
-    <xsl:otherwise>
-      <m:mo>id</m:mo>
-    </xsl:otherwise>
-  </xsl:choose>
-</xsl:template>
-
-<xsl:template match="m:piecewise">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if> 
-    <xsl:element name="m:mfenced">
-      <xsl:attribute name="open">{</xsl:attribute>
-      <xsl:attribute name="close"></xsl:attribute>
-      <m:mtable groupalign="left left left">
-	<xsl:for-each select="m:piece">
-	<m:mtr columnalign="left">
-          <m:mtd>
-            <m:mrow>
-              <xsl:apply-templates select="*[position()=1]" mode = "semantics"/>
-            </m:mrow>
-          </m:mtd>
-          <m:mtd>
-              <m:mrow>
-                <m:mtext>if <m:mspace width="5"/></m:mtext>
-                <xsl:apply-templates select="*[position()=2]" mode = "semantics"/>
-              </m:mrow> 
-            </m:mtd>
-          </m:mtr>
-        </xsl:for-each>
-        <xsl:if test="m:otherwise">
-          <m:mtr columnalign="left">
-            <m:mtd>
-              <m:mrow>
-                <xsl:apply-templates select="m:otherwise/*" mode = "semantics"/>
-              </m:mrow>
-            </m:mtd>
-            <m:mtd>
-              <m:mrow>
-              otherwise  
-            </m:mrow>
-          </m:mtd>
-      </m:mtr>
-    </xsl:if>
-  </m:mtable>
-</xsl:element>
-</m:mrow>
-</xsl:template>
-
-<!-- HELM: was (it didn't match with prefixed MathML)
-<xsl:template match="m:apply[child::*[position()=1 and name()='domain']]">
-     Now is: -->
-<xsl:template match="m:apply[child::*[position()=1 and self::m:domain]]">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <m:mi>domain</m:mi>
-    <m:mfenced open="(" close=")">
-      <xsl:apply-templates select="*[position()!=1]" mode = "semantics"/>
-    </m:mfenced>
-  </m:mrow>
-</xsl:template>
-
-<!-- HELM: was (it didn't match with prefixed MathML)
-<xsl:template match="m:apply[child::*[position()=1 and name()='codomain']]">
-     Now is: -->
-<xsl:template match="m:apply[child::*[position()=1 and self::m:codomain]]">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <m:mi>codomain</m:mi>
-    <m:mfenced open="(" close=")">
-      <xsl:apply-templates select="*[position()!=1]" mode = "semantics"/>
-    </m:mfenced>
-  </m:mrow>
-</xsl:template>
-
-<!-- HELM: was (it didn't match with prefixed MathML)
-<xsl:template match="m:apply[child::*[position()=1 and name()='image']]">
-     Now is: -->
-<xsl:template match="m:apply[child::*[position()=1 and self::m:image]]">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
-    </xsl:if>
-    <m:mi>image</m:mi>
-    <m:mfenced open="(" close=")">
-      <xsl:apply-templates select="*[position()!=1]" mode = "semantics"/>
-    </m:mfenced>
-  </m:mrow>
-</xsl:template>
-
-
-<!-- ***************** ARITHMETIC, ALGEBRA & LOGIC ***************** -->
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-<!-- HELM: xref added -->        
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-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:mean/@id"/>
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-<!-- HELM:  </m:mfenced> -->
-</xsl:template>
-
-
-<!-- ***************** LINEAR ALGEBRA ***************** -->
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-    <m:mtable>
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-
-<xsl:template match = "m:matrix">
-  <m:mfenced separators="">
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-
-<xsl:template match = "m:matrixrow">
-  <m:mtr>
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-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
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-    <xsl:for-each select="*">
-      <m:mtd>
-        <xsl:apply-templates select="." mode = "semantics"/>
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-
-<xsl:template match = "m:apply[m:determinant[1]]">
-  <m:mrow>
-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
-      <xsl:attribute name="xref">
-        <xsl:value-of select="@id"/>
-      </xsl:attribute>
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-    <m:mo>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:determinant/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:determinant/@id"/>
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-
-<xsl:template match = "m:apply[m:transpose[1]]">
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-    <xsl:apply-templates select = "*[2]" mode = "semantics"/>
-    <m:mo>
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-
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-
-<xsl:template match = "m:apply[m:selector[1]]">
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-    <xsl:apply-templates select = "*[2]" mode="semantics"/>
-    <m:mrow>
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-     <xsl:if test="*[2]=m:matrix and *[4]=m:cn">
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-
-<xsl:template match = "m:apply[m:vectorproduct[1] |
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-    <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and @id">
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-    <xsl:apply-templates select="*[2]" mode = "semantics"/>
-    <m:mo>
-      <xsl:if test="m:vectorproduct[1]">
-<!-- HELM: xref added -->        
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-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:vectorproduct/@id"/>
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-       <xsl:text disable-output-escaping='yes'>&#x2A2F;</xsl:text>
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-      <xsl:if test="m:scalarproduct[1] | m:outerproduct[1]">
-<!-- HELM: xref added -->        
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-          <xsl:attribute name="xref">
-            <xsl:value-of select="*[1]/@id"/>
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-    </m:mo>
-    <xsl:apply-templates select="*[3]" mode = "semantics"/>
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-
-
-<!-- ***************** CONSTANT and SYMBOL ELEMENTS ***************** -->
-
-<xsl:template match="m:integers">
-   <m:mi>
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-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:integers/@id">
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-    <xsl:text disable-output-escaping='yes'>&#x2124;</xsl:text></m:mi>
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-
-<xsl:template match="m:reals">
-   <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:reals/@id">
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-    <xsl:text disable-output-escaping='yes'>&#x211D;</xsl:text></m:mi>
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-
-<xsl:template match="m:rationals">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:rationals/@id">
-          <xsl:attribute name="xref">
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-   <xsl:text disable-output-escaping='yes'>&#x211A;</xsl:text></m:mi>
-</xsl:template>
-
-<xsl:template match="m:naturalnumbers">
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-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:naturalnumbers/@id">
-          <xsl:attribute name="xref">
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-   <xsl:text disable-output-escaping='yes'>&#x2115;</xsl:text></m:mi> 
-</xsl:template>
-
-<xsl:template match="m:complexes">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:complexes/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:complexes/@id"/>
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-   <xsl:text disable-output-escaping='yes'>&#x2102;</xsl:text></m:mi>
-</xsl:template>
-
-<xsl:template match="m:primes">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:primes/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:primes/@id"/>
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-   <xsl:text disable-output-escaping='yes'>&#x2119;</xsl:text></m:mi>
-</xsl:template>
-
-<xsl:template match="m:exponentiale">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:exponentiale/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:exponentiale/@id"/>
-          </xsl:attribute>
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-   <xsl:text disable-output-escaping="yes">&#x2147;</xsl:text></m:mi>
-</xsl:template>
-
-<xsl:template match="m:imaginaryi">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:imaginaryi/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:imaginaryi/@id"/>
-          </xsl:attribute>
-        </xsl:if>
-<!-- HELM: not rendered correctly <![CDATA[&ImaginaryI;]]> -->
-   <xsl:text disable-output-escaping="yes">&#xF74E;</xsl:text></m:mi>
-</xsl:template>
-
-<xsl:template match="m:notanumber">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:notanumber/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:notanumber/@id"/>
-          </xsl:attribute>
-        </xsl:if>NaN</m:mi>  
-</xsl:template>
-
-<xsl:template match="m:true">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:true/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:true/@id"/>
-          </xsl:attribute>
-        </xsl:if>true</m:mi>  
-</xsl:template>
-
-<xsl:template match="m:false">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:false/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:false/@id"/>
-          </xsl:attribute>
-        </xsl:if>false</m:mi>   
-</xsl:template>
-
-<xsl:template match="m:emptyset">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:emptyset/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:emptyset/@id"/>
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-        </xsl:if>
-<!-- HELM: not rendered correctly <![CDATA[&empty;]]> -->
-   <xsl:text disable-output-escaping="yes">&#xE2D3;</xsl:text></m:mi>
-</xsl:template>
-
-<xsl:template match="m:pi">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:pi/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:pi/@id"/>
-          </xsl:attribute>
-        </xsl:if>
-<!-- HELM: not rendered correctly <![CDATA[&pi;]]> -->
-   <xsl:text disable-output-escaping="yes">&#x03C0;</xsl:text></m:mi>
-</xsl:template>
-
-<xsl:template match="m:eulergamma">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:eulergamma/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:eulergamma/@id"/>
-          </xsl:attribute>
-        </xsl:if>
-<!-- HELM: not rendered correctly <![CDATA[&gamma;]]> -->
-   <xsl:text disable-output-escaping="yes">&#x03B3;</xsl:text></m:mi>
-</xsl:template>
-
-<xsl:template match="m:infinity">
-  <m:mi>
-<!-- HELM: xref added -->        
-        <xsl:if test="($SEM_SW=$SEM_XREF or $SEM_SW=$SEM_XREF_EXT) and m:infinity/@id">
-          <xsl:attribute name="xref">
-            <xsl:value-of select="m:infinity/@id"/>
-          </xsl:attribute>
-        </xsl:if>
-<!-- HELM: not rendered correctly <![CDATA[&infin;]]> -->
-   <xsl:text disable-output-escaping="yes">&#x221E;</xsl:text></m:mi>
-</xsl:template>
-
-</xsl:stylesheet>
-
-