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SIUsed_OffSystemMeasuredUnits1.html
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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<link rel="stylesheet" href="https://openmath.org/public/css/hyde.css"/>
<link rel="stylesheet" href="https://openmath.org/public/css/main.css"/>
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<title>SIUsed_OffSystemMeasuredUnits1</title>
<link rel="stylesheet" href="https://openmath.org/cd/omcd.css" type="text/css"/>
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<h1>OpenMath Content Dictionary: SIUsed_OffSystemMeasuredUnits1</h1>
<dl>
<dt>
<span class="dt">Canonical URL:</span>
</dt>
<dd>
<a href="http://www.openmath.org/cd/SIUsed_OffSystemMeasuredUnits1.ocd">http://www.openmath.org/cd/SIUsed_OffSystemMeasuredUnits1.ocd</a>
</dd>
<dt>
<span class="dt">CD File:</span>
</dt>
<dd>
<a href="SIUsed_OffSystemMeasuredUnits1.ocd">SIUsed_OffSystemMeasuredUnits1.ocd
</a>
</dd>
<dt>
<span class="dt">CD as XML Encoded OpenMath:</span>
</dt>
<dd>
<a href="SIUsed_OffSystemMeasuredUnits1.omcd">SIUsed_OffSystemMeasuredUnits1.omcd
</a>
</dd>
<dt>
<span class="dt">Defines:</span>
</dt>
<dd>
<a href="#astronomical-unit">astronomical-unit</a>, <a href="#dalton">dalton</a>, <a href="#electronvolt">electronvolt</a>
</dd>
<dt>
<span class="dt">Date:</span>
</dt>
<dd>2009-01-10</dd>
<dt>
<span class="dt">Version:</span>
</dt>
<dd>1
(Revision 2)
</dd>
<dt>
<span class="dt">Review Date:</span>
</dt>
<dd>2017-12-31</dd>
<dt>
<span class="dt">Status:</span>
</dt>
<dd>experimental</dd>
</dl>
<hr/>
<pre>
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 <a href="http://www.openmath.org">http://www.openmath.org</a>.
Author: Joseph B. Collins (2009), Naval Research Laboratory, Washington, DC.
Copyright Notice: This is a work of the U.S. Government and is not
subject to copyright protection in the United States. Foreign copyrights
may apply.
</pre>
<pre>
Author: J B Collins
</pre>
<p>
This CD defines symbols to represent units that are off-system
with respect to the SI system of units, but are retained for use
with the SI. Each unit is determined by experimental measurement.
(DRAFT INTERNATIONAL STANDARD ISO/DIS 80000-1 - "Quantities and
units", 2008).
</p>
<hr/>
<h2>
<a name="electronvolt">electronvolt</a>
</h2>
<dl>
<dt>
<span class="dt">Description:</span>
</dt>
<dd>
<p>
This symbol represents the measure of one electronvolt of energy.
It has the short symbol form, "eV".
It is the kinetic energy acquired by an electron in passing through
a potential difference of 1 volt in a vacuum.
Its measured value is
1 eV = 1.602176487(40) * 10^–19 J [CODATA 2006]
</p>
</dd>
</dl>
<dl>
<dt>
<span class="dt">Commented Mathematical property (CMP):</span>
</dt>
<dd> 1 electronvolt = 1.602176487 * 10^–19 joule </dd>
</dl>
<dl>
<dt>
<span class="dt">Formal Mathematical property (FMP):</span>
</dt>
<dd>
<div>
<button id="id.om.13xmla" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.13xml')">OpenMath XML (source)</button>
<pre id="id.om.13xml" style="display:none"><OMOBJ xmlns="http://www.openmath.org/OpenMath">
<OMA>
<OMS name="approx" cd="relation1"/>
<OMA>
<OMS name="times" cd="arith1"/>
<OMI> 1 </OMI>
<OMS name="electronvolt" cd="SIUsed_OffSystemMeasuredUnits1"/>
</OMA>
<OMA>
<OMS name="times" cd="arith1"/>
<OMA>
<OMS cd="bigfloat1" name="bigfloat"/>
<OMF dec="1.602176487"/>
<OMI>10</OMI><OMI>-19</OMI>
</OMA>
<OMS name="joule" cd="SI_NamedDerivedUnits1"/>
</OMA>
</OMA>
</OMOBJ></pre>
</div>
<div>
<button id="id.om.13cmmla" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.13cmml')">Strict Content MathML</button>
<pre id="id.om.13cmml" style="display:none; margin-top: 0.5em">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><csymbol cd="relation1">approx</csymbol>
<apply><csymbol cd="arith1">times</csymbol>
<cn type="integer">1</cn>
<csymbol cd="SIUsed_OffSystemMeasuredUnits1">electronvolt</csymbol>
</apply>
<apply><csymbol cd="arith1">times</csymbol>
<apply><csymbol cd="bigfloat1">bigfloat</csymbol>
<cn type="real">1.602176487</cn>
<cn type="integer">10</cn>
<cn type="integer">-19</cn>
</apply>
<csymbol cd="SI_NamedDerivedUnits1">joule</csymbol>
</apply>
</apply>
</math></pre>
</div>
<button id="id.om.13prefa" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.13pref')">Prefix</button>
<div id="id.om.13pref" style="display:none; margin-top: 0.5em">
<a href="../../../cd/relation1.html#approx">approx</a>
(<a href="../../../cd/arith1.html#times">times</a>
( 1 , <a href="../../../cd/SIUsed_OffSystemMeasuredUnits1.html#electronvolt">electronvolt</a>)
, <a href="../../../cd/arith1.html#times">times</a>
(<a href="../../../cd/bigfloat1.html#bigfloat">bigfloat</a>
( 1.602176487 , 10, -19)
, <a href="../../../cd/SI_NamedDerivedUnits1.html#joule">joule</a>)
)
</div>
<div>
<button id="id.om.13popa" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.13pop')">Popcorn</button>
<div id="id.om.13pop" style="display:none; margin-top: 0.5em">
relation1.approx(1 * SIUsed_OffSystemMeasuredUnits1.electronvolt, bigfloat1.bigfloat(1.602176487, 10, -19) * SI_NamedDerivedUnits1.joule)
</div>
</div>
<div>
<button id="id.om.13mmla" style="width:20em; background-color:#AAFFAA"
onclick="divfold('id.om.13mml')">Rendered Presentation MathML</button>
<div id="id.om.13mml" style="display:block; margin-top: 0.5em">
<div style="overflow:auto;font-size:90%">
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow xmlns:om="http://www.openmath.org/OpenMath">
<mrow>
<mn> 1 </mn>
<mo>⁢</mo>
<mi>electronvolt</mi>
</mrow>
<mo>≈</mo>
<mrow>
<mrow>
<mn>1.602176487</mn>
<mo>×</mo>
<msup>
<mn>10</mn>
<mn>-19</mn>
</msup>
</mrow>
<mo>⁢</mo>
<mi>joule</mi>
</mrow>
</mrow>
</math>
</div>
</div>
</div>
</dd>
</dl>
<dl>
<dt>
<span class="dt">Signatures:</span>
</dt>
<dd>
<a href="../../sts/SIUsed_OffSystemMeasuredUnits1.html#electronvolt">
sts
</a>
</dd>
</dl>
<p/>
<hr/>
<table width="100%">
<tr>
<td align="right">
<font size="-1">
[Next: <a href="#dalton">dalton</a>]
[Last: <a href="#astronomical-unit">astronomical-unit</a>]
[<a href="#top">Top</a>]</font>
</td>
</tr>
</table>
<hr/>
<h2>
<a name="dalton">dalton</a>
</h2>
<dl>
<dt>
<span class="dt">Description:</span>
</dt>
<dd>
<p>
This symbol represents the measure of one dalton of mass.
It has the short symbol form, "Da".
The dalton is one-twelth the mass of an atom of Carbon-12 at rest
and in its ground state.
Its measured value is
1 Da = 1.660538782(83) * 10^–27 kg [CODATA 2006]
</p>
</dd>
</dl>
<dl>
<dt>
<span class="dt">Commented Mathematical property (CMP):</span>
</dt>
<dd> 1 dalton ~ 1.660538782 * 10^–27 kilogram </dd>
</dl>
<dl>
<dt>
<span class="dt">Formal Mathematical property (FMP):</span>
</dt>
<dd>
<div>
<button id="id.om.33xmla" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.33xml')">OpenMath XML (source)</button>
<pre id="id.om.33xml" style="display:none"><OMOBJ xmlns="http://www.openmath.org/OpenMath">
<OMA>
<OMS name="approx" cd="relation1"/>
<OMA>
<OMS name="times" cd="arith1"/>
<OMI> 1 </OMI>
<OMS name="dalton" cd="SIUsed_OffSystemMeasuredUnits1"/>
</OMA>
<OMA>
<OMS name="times" cd="arith1"/>
<OMA>
<OMS cd="bigfloat1" name="bigfloat"/>
<OMF dec="1.660538782"/>
<OMI>10</OMI><OMI>-27</OMI>
</OMA>
<OMS name="kilogram" cd="SI_BaseUnits1"/>
</OMA>
</OMA>
</OMOBJ></pre>
</div>
<div>
<button id="id.om.33cmmla" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.33cmml')">Strict Content MathML</button>
<pre id="id.om.33cmml" style="display:none; margin-top: 0.5em">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><csymbol cd="relation1">approx</csymbol>
<apply><csymbol cd="arith1">times</csymbol>
<cn type="integer">1</cn>
<csymbol cd="SIUsed_OffSystemMeasuredUnits1">dalton</csymbol>
</apply>
<apply><csymbol cd="arith1">times</csymbol>
<apply><csymbol cd="bigfloat1">bigfloat</csymbol>
<cn type="real">1.660538782</cn>
<cn type="integer">10</cn>
<cn type="integer">-27</cn>
</apply>
<csymbol cd="SI_BaseUnits1">kilogram</csymbol>
</apply>
</apply>
</math></pre>
</div>
<button id="id.om.33prefa" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.33pref')">Prefix</button>
<div id="id.om.33pref" style="display:none; margin-top: 0.5em">
<a href="../../../cd/relation1.html#approx">approx</a>
(<a href="../../../cd/arith1.html#times">times</a>
( 1 , <a href="../../../cd/SIUsed_OffSystemMeasuredUnits1.html#dalton">dalton</a>)
, <a href="../../../cd/arith1.html#times">times</a>
(<a href="../../../cd/bigfloat1.html#bigfloat">bigfloat</a>
( 1.660538782 , 10, -27)
, <a href="../../../cd/SI_BaseUnits1.html#kilogram">kilogram</a>)
)
</div>
<div>
<button id="id.om.33popa" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.33pop')">Popcorn</button>
<div id="id.om.33pop" style="display:none; margin-top: 0.5em">
relation1.approx(1 * SIUsed_OffSystemMeasuredUnits1.dalton, bigfloat1.bigfloat(1.660538782, 10, -27) * SI_BaseUnits1.kilogram)
</div>
</div>
<div>
<button id="id.om.33mmla" style="width:20em; background-color:#AAFFAA"
onclick="divfold('id.om.33mml')">Rendered Presentation MathML</button>
<div id="id.om.33mml" style="display:block; margin-top: 0.5em">
<div style="overflow:auto;font-size:90%">
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow xmlns:om="http://www.openmath.org/OpenMath">
<mrow>
<mn> 1 </mn>
<mo>⁢</mo>
<mi>dalton</mi>
</mrow>
<mo>≈</mo>
<mrow>
<mrow>
<mn>1.660538782</mn>
<mo>×</mo>
<msup>
<mn>10</mn>
<mn>-27</mn>
</msup>
</mrow>
<mo>⁢</mo>
<mi>kilogram</mi>
</mrow>
</mrow>
</math>
</div>
</div>
</div>
</dd>
</dl>
<dl>
<dt>
<span class="dt">Signatures:</span>
</dt>
<dd>
<a href="../../sts/SIUsed_OffSystemMeasuredUnits1.html#dalton">
sts
</a>
</dd>
</dl>
<p/>
<hr/>
<table width="100%">
<tr>
<td align="right">
<font size="-1">
[Next: <a href="#astronomical-unit">astronomical-unit</a>]
[Previous: <a href="#electronvolt">electronvolt</a>]
[<a href="#top">Top</a>]</font>
</td>
</tr>
</table>
<hr/>
<h2>
<a name="astronomical-unit">astronomical-unit</a>
</h2>
<dl>
<dt>
<span class="dt">Description:</span>
</dt>
<dd>
<p>
This symbol represents the measure of one astronomical unit of distance.
It has the short symbol form, "ua".
It is the mean distance between the sun and the earth.
Its measured value is
1 ua = 1.49597870691(6) * 10^11 m
[DRAFT INTERNATIONAL STANDARD ISO/DIS 80000-1,
International Organization for Standardization, 2008]
</p>
</dd>
</dl>
<dl>
<dt>
<span class="dt">Commented Mathematical property (CMP):</span>
</dt>
<dd> 1 astronomical-unit ~ 1.49597870691 * 10^11 metre </dd>
</dl>
<dl>
<dt>
<span class="dt">Formal Mathematical property (FMP):</span>
</dt>
<dd>
<div>
<button id="id.om.53xmla" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.53xml')">OpenMath XML (source)</button>
<pre id="id.om.53xml" style="display:none"><OMOBJ xmlns="http://www.openmath.org/OpenMath">
<OMA>
<OMS name="approx" cd="relation1"/>
<OMA>
<OMS name="times" cd="arith1"/>
<OMI> 1 </OMI>
<OMS name="astronomical-unit" cd="SIUsed_OffSystemMeasuredUnits1"/>
</OMA>
<OMA>
<OMS name="times" cd="arith1"/>
<OMA>
<OMS cd="bigfloat1" name="bigfloat"/>
<OMF dec="1.49597870691"/>
<OMI>10</OMI><OMI>11</OMI>
</OMA>
<OMS name="metre" cd="SI_BaseUnits1"/>
</OMA>
</OMA>
</OMOBJ></pre>
</div>
<div>
<button id="id.om.53cmmla" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.53cmml')">Strict Content MathML</button>
<pre id="id.om.53cmml" style="display:none; margin-top: 0.5em">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><csymbol cd="relation1">approx</csymbol>
<apply><csymbol cd="arith1">times</csymbol>
<cn type="integer">1</cn>
<csymbol cd="SIUsed_OffSystemMeasuredUnits1">astronomical-unit</csymbol>
</apply>
<apply><csymbol cd="arith1">times</csymbol>
<apply><csymbol cd="bigfloat1">bigfloat</csymbol>
<cn type="real">1.49597870691</cn>
<cn type="integer">10</cn>
<cn type="integer">11</cn>
</apply>
<csymbol cd="SI_BaseUnits1">metre</csymbol>
</apply>
</apply>
</math></pre>
</div>
<button id="id.om.53prefa" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.53pref')">Prefix</button>
<div id="id.om.53pref" style="display:none; margin-top: 0.5em">
<a href="../../../cd/relation1.html#approx">approx</a>
(<a href="../../../cd/arith1.html#times">times</a>
( 1 , <a href="../../../cd/SIUsed_OffSystemMeasuredUnits1.html#astronomical-unit">astronomical-unit</a>)
, <a href="../../../cd/arith1.html#times">times</a>
(<a href="../../../cd/bigfloat1.html#bigfloat">bigfloat</a>
( 1.49597870691 , 10, 11)
, <a href="../../../cd/SI_BaseUnits1.html#metre">metre</a>)
)
</div>
<div>
<button id="id.om.53popa" style="width:20em; background-color:#CCCCCC"
onclick="divfold('id.om.53pop')">Popcorn</button>
<div id="id.om.53pop" style="display:none; margin-top: 0.5em">
relation1.approx(1 * SIUsed_OffSystemMeasuredUnits1.astronomical-unit, bigfloat1.bigfloat(1.49597870691, 10, 11) * SI_BaseUnits1.metre)
</div>
</div>
<div>
<button id="id.om.53mmla" style="width:20em; background-color:#AAFFAA"
onclick="divfold('id.om.53mml')">Rendered Presentation MathML</button>
<div id="id.om.53mml" style="display:block; margin-top: 0.5em">
<div style="overflow:auto;font-size:90%">
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow xmlns:om="http://www.openmath.org/OpenMath">
<mrow>
<mn> 1 </mn>
<mo>⁢</mo>
<mi>astronomical-unit</mi>
</mrow>
<mo>≈</mo>
<mrow>
<mrow>
<mn>1.49597870691</mn>
<mo>×</mo>
<msup>
<mn>10</mn>
<mn>11</mn>
</msup>
</mrow>
<mo>⁢</mo>
<mi>metre</mi>
</mrow>
</mrow>
</math>
</div>
</div>
</div>
</dd>
</dl>
<dl>
<dt>
<span class="dt">Signatures:</span>
</dt>
<dd>
<a href="../../sts/SIUsed_OffSystemMeasuredUnits1.html#astronomical-unit">
sts
</a>
</dd>
</dl>
<p/>
<hr/>
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