OpenMath Signatures

Type System: sts
Content Dictionary: arith1
CD Signature File: arith1.sts

official

               
Date:  1999-11-26
Author: David Carlisle

lcm

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
   <OMA>
     <OMS name="nassoc" cd="sts"/>
     <OMV name="SemiGroup"/>
   </OMA>
   <OMV name="SemiGroup"/>
 </OMA>
</OMOBJ>

( ( SemiGroup ^*assoc ) >> SemiGroup )

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gcd

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
   <OMA>
     <OMS name="nassoc" cd="sts"/>
     <OMV name="SemiGroup"/>
   </OMA>
   <OMV name="SemiGroup"/>
 </OMA>
</OMOBJ>

( ( SemiGroup ^*assoc ) >> SemiGroup )

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plus

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMA>
   <OMS name="nassoc" cd="sts"/> 
   <OMV name="AbelianSemiGroup"/>
  </OMA>
  <OMV name="AbelianSemiGroup"/>
 </OMA>
</OMOBJ>

( ( AbelianSemiGroup ^*assoc ) >> AbelianSemiGroup )

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unary_minus

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
 </OMA>
</OMOBJ>

( AbelianGroup >> AbelianGroup )

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minus

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
 </OMA>
</OMOBJ>

( AbelianGroup AbelianGroup >> AbelianGroup )

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times

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMA>
   <OMS name="nassoc" cd="sts"/> 
   <OMV name="SemiGroup"/>
  </OMA>
  <OMV name="SemiGroup"/>
 </OMA>
</OMOBJ>

( ( SemiGroup ^*assoc ) >> SemiGroup )

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divide

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
 </OMA>
</OMOBJ>

( AbelianGroup AbelianGroup >> AbelianGroup )

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power

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMS name="NumericalValue" cd="sts"/> 
  <OMS name="NumericalValue" cd="sts"/> 
  <OMS name="NumericalValue" cd="sts"/> 
 </OMA>
</OMOBJ>

( NumericalValue NumericalValue >> NumericalValue )

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abs

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMS name="C" cd="setname1"/> 
  <OMS name="R" cd="setname1"/> 
 </OMA>
</OMOBJ>

( C >> R )

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root

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMS name="NumericalValue" cd="sts"/> 
  <OMS name="NumericalValue" cd="sts"/> 
  <OMS name="NumericalValue" cd="sts"/> 
 </OMA>
</OMOBJ>

( NumericalValue NumericalValue >> NumericalValue )

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sum

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="IntegerRange"/>
  <OMA>
   <OMS name="mapsto" cd="sts"/>
   <OMS name="Z" cd="setname1"/>
   <OMV name="AbelianMonoid"/>
  </OMA>
  <OMV name="AbelianMonoid"/>
 </OMA>
</OMOBJ>

( IntegerRange ( Z >> AbelianMonoid ) >> AbelianMonoid )

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product

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="IntegerRange"/>
  <OMA>
   <OMS name="mapsto" cd="sts"/>
   <OMS name="Z" cd="setname1"/>
   <OMV name="AbelianMonoid"/>
  </OMA>
  <OMV name="AbelianMonoid"/>
 </OMA>
</OMOBJ>

( IntegerRange ( Z >> AbelianMonoid ) >> AbelianMonoid )

Content Dictionary Entry.

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