OpenMath Signatures


Type System: sts
Content Dictionary: arith1
CD Signature File: arith1.sts
CD Signature as XML Encoded OpenMath: arith1.omsts



Date:  1999-11-26
Author: David Carlisle


lcm

<OMOBJ>
 <OMA>
   <OMS name="mapsto" cd="sts"/>
   <OMA>
     <OMS name="nassoc" cd="sts"/>
     <OMV name="SemiGroup"/>
   </OMA>
   <OMV name="SemiGroup"/>
 </OMA>
</OMOBJ>
( ( SemiGroup *assoc ) >> SemiGroup )

Content Dictionary Entry.


[Next: gcd] [Last: product] [Top]


gcd

<OMOBJ>
 <OMA>
   <OMS name="mapsto" cd="sts"/>
   <OMA>
     <OMS name="nassoc" cd="sts"/>
     <OMV name="SemiGroup"/>
   </OMA>
   <OMV name="SemiGroup"/>
 </OMA>
</OMOBJ>
( ( SemiGroup *assoc ) >> SemiGroup )

Content Dictionary Entry.


[Next: plus] [Previous: lcm] [Top]


plus

<OMOBJ>
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMA>
   <OMS name="nassoc" cd="sts"/> 
   <OMV name="AbelianSemiGroup"/>
  </OMA>
  <OMV name="AbelianSemiGroup"/>
 </OMA>
</OMOBJ>
( ( AbelianSemiGroup *assoc ) >> AbelianSemiGroup )

Content Dictionary Entry.


[Next: unary_minus] [Previous: gcd] [Top]


unary_minus

<OMOBJ>
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
 </OMA>
</OMOBJ>
( AbelianGroup >> AbelianGroup )

Content Dictionary Entry.


[Next: minus] [Previous: plus] [Top]


minus

<OMOBJ>
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
 </OMA>
</OMOBJ>
( AbelianGroup AbelianGroup >> AbelianGroup )

Content Dictionary Entry.


[Next: times] [Previous: unary_minus] [Top]


times

<OMOBJ>
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMA>
   <OMS name="nassoc" cd="sts"/> 
   <OMV name="SemiGroup"/>
  </OMA>
  <OMV name="SemiGroup"/>
 </OMA>
</OMOBJ>
( ( SemiGroup *assoc ) >> SemiGroup )

Content Dictionary Entry.


[Next: divide] [Previous: minus] [Top]


divide

<OMOBJ>
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
  <OMV name="AbelianGroup"/> 
 </OMA>
</OMOBJ>
( AbelianGroup AbelianGroup >> AbelianGroup )

Content Dictionary Entry.


[Next: power] [Previous: times] [Top]


power

<OMOBJ>
 <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 )

Content Dictionary Entry.


[Next: abs] [Previous: divide] [Top]


abs

<OMOBJ>
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMS name="C" cd="setname1"/> 
  <OMS name="R" cd="setname1"/> 
 </OMA>
</OMOBJ>
( C >> R )

Content Dictionary Entry.


[Next: root] [Previous: power] [Top]


root

<OMOBJ>
 <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 )

Content Dictionary Entry.


[Next: sum] [Previous: abs] [Top]


sum

<OMOBJ>
 <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.


[Next: product] [Previous: root] [Top]


product

<OMOBJ>
 <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.


[First: lcm] [Previous: sum] [Top]