OpenMath Content Dictionary: sts2

Canonical URL:

CD Base:

http://www.openmath.org/cd

CD File:

sts2.ocd

CD as XML Encoded OpenMath:

sts2.omcd

Defines:

interval, list, matrix, square_matrix, vector, vector_n

Date:

2004-02-02

Version:

1 (Revision 1)

Review Date:

2017-12-31

Status:

experimental

---

     This document is distributed in the hope that it will be useful, 
     but WITHOUT ANY WARRANTY; without even the implied warranty of 
     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

     The copyright holder grants you permission to redistribute this 
     document freely as a verbatim copy. Furthermore, the copyright
     holder permits you to develop any derived work from this document
     provided that the following conditions are met.
       a) The derived work acknowledges the fact that it is derived from
          this document, and maintains a prominent reference in the 
          work to the original source.
       b) The fact that the derived work is not the original OpenMath 
          document is stated prominently in the derived work.  Moreover if
          both this document and the derived work are Content Dictionaries
          then the derived work must include a different CDName element,
          chosen so that it cannot be confused with any works adopted by
          the OpenMath Society.  In particular, if there is a Content 
          Dictionary Group whose name is, for example, `math' containing
          Content Dictionaries named `math1', `math2' etc., then you should 
          not name a derived Content Dictionary `mathN' where N is an integer.
          However you are free to name it `private_mathN' or some such.  This
          is because the names `mathN' may be used by the OpenMath Society
          for future extensions.
       c) The derived work is distributed under terms that allow the
          compilation of derived works, but keep paragraphs a) and b)
          intact.  The simplest way to do this is to distribute the derived
          work under the OpenMath license, but this is not a requirement.
     If you have questions about this license please contact the OpenMath
     society at http://www.openmath.org.

  Author: Mike Dewar

Symbols for constructing compound (parameterised) types in the OpenMath small type system.

---

list

Description:

A constructor for the type of a homogeneous list

Example:

A list of integers

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS name="list" cd="sts2"/>
    <OMS name="Z" cd="setname1"/>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol cd="sts2">list</csymbol><csymbol cd="setname1">Z</csymbol></apply></math>

Prefix

list (Z)

Popcorn

sts2.list(setname1.Z)

Rendered Presentation MathML

$$\mathrm{list}\left(\mathbb{Z}\right)$$

Signatures:

sts

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[Next: interval] [Last: square_matrix] [Top]

---

interval

Description:

A constructor for an interval over a set.

Example:

A real interval

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS name="interval" cd="sts2"/>
    <OMS name="R" cd="setname1"/>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol cd="sts2">interval</csymbol><csymbol cd="setname1">R</csymbol></apply></math>

Prefix

interval (R)

Popcorn

sts2.interval(setname1.R)

Rendered Presentation MathML

$$\mathrm{interval}\left(\mathbb{R}\right)$$

Signatures:

sts

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[Next: matrix] [Previous: list] [Top]

---

matrix

Description:

A constructor for the type of a matrix

Example:

A matrix of integers

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS name="matrix" cd="sts2"/>
    <OMS name="Z" cd="setname1"/>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol cd="sts2">matrix</csymbol><csymbol cd="setname1">Z</csymbol></apply></math>

Prefix

matrix (Z)

Popcorn

sts2.matrix(setname1.Z)

Rendered Presentation MathML

$$\mathrm{matrix}\left(\mathbb{Z}\right)$$

Signatures:

sts

---

[Next: vector] [Previous: interval] [Top]

---

vector

Description:

A constructor for the type of a vector

Example:

A vector of integers

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS name="vector" cd="sts2"/>
    <OMS name="Z" cd="setname1"/>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol cd="sts2">vector</csymbol><csymbol cd="setname1">Z</csymbol></apply></math>

Prefix

vector (Z)

Popcorn

sts2.vector(setname1.Z)

Rendered Presentation MathML

$$\mathrm{vector}\left(\mathbb{Z}\right)$$

Signatures:

sts

---

[Next: vector_n] [Previous: matrix] [Top]

---

vector_n

Description:

A constructor for the type of a vector of size n

Example:

A 3-vector of integers

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS name="vector" cd="sts2"/>
    <OMI>3</OMI>
    <OMS name="Z" cd="setname1"/>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="sts2">vector</csymbol>
  <cn type="integer">3</cn>
  <csymbol cd="setname1">Z</csymbol>
 </apply>
</math>

Prefix

vector (3, Z)

Popcorn

sts2.vector(3, setname1.Z)

Rendered Presentation MathML

$$\mathrm{vector}(3,\mathbb{Z})$$

Signatures:

sts

---

[Next: square_matrix] [Previous: vector] [Top]

---

square_matrix

Description:

A constructor for the type of a square matrix

Example:

A 2x2 square matrix of integers

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS name="square_matrix" cd="sts2"/>
    <OMI>2</OMI>
    <OMS name="Z" cd="setname1"/>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="sts2">square_matrix</csymbol>
  <cn type="integer">2</cn>
  <csymbol cd="setname1">Z</csymbol>
 </apply>
</math>

Prefix

square_matrix (2, Z)

Popcorn

sts2.square_matrix(2, setname1.Z)

Rendered Presentation MathML

$$\mathrm{square\_matrix}(2,\mathbb{Z})$$

Signatures:

sts

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[First: list] [Previous: vector_n] [Top]