OpenMath Content Dictionary: SI_DerivedQuantities1

Canonical URL:

http://www.openmath.org/cd/SI_DerivedQuantities1.ocd

CD File:

SI_DerivedQuantities1.ocd

CD as XML Encoded OpenMath:

SI_DerivedQuantities1.omcd

Defines:

Celsius temperature, absorbed dose, capacitance, catalytic activity, charge, concentration, conductance, density, energy, entropy, equivalent dose, force, frequency, heat, illuminance, inductance, luminous flux, magnetic flux, magnetic flux density, momentum, power, pressure, radioactivity, resistance, speed, voltage, volume, angle, area, moment of force, solid angle

Date:

2009-01-10

Version:

1

Review Date:

2009-04-01

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: 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.

angle

Role:

constant

Description:

This symbol represents the quantity of a geometric planar angle. A variable representing an arbitrary quantity of angle is commonly represented with the italic, lower case greek variable, e.g., "\theta;".

Commented Mathematical property (CMP):

dim(angle) = one

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
	<OMS cd="relation1" name="eq"/>
	<OMA> <OMS cd="SI_Functions1" name="dim"/>
              <OMS cd="SI_DerivedQuantities1" name="angle"/> 
	</OMA>
	<OMS cd="SI_BaseQuantities1" name="one"/>
      </OMA>
    </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">angle</csymbol></apply>
  <csymbol cd="SI_BaseQuantities1">one</csymbol>
 </apply>
</math>

Prefix

eq (dim (angle) , one)

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.angle) = SI_BaseQuantities1.one

Rendered Presentation MathML

$$\dim \left(\mathrm{angle}\right)=\mathrm{one}$$

Signatures:

sts

solid angle

Role:

constant

Description:

This symbol represents the quantity of a two dimensional, geometric solid angle. A variable representing an arbitrary quantity of solid angle is commonly represented with the italic, upper case greek variable, "\Omega;".

Commented Mathematical property (CMP):

dim(solid angle) = one

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
	<OMS cd="relation1" name="eq"/>
	<OMA> <OMS cd="SI_Functions1" name="dim"/>
              <OMS cd="SI_DerivedQuantities1" name="solid angle"/>
	</OMA>
	<OMS cd="SI_BaseQuantities1" name="one"/>
      </OMA>
    </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">solid angle</csymbol></apply>
  <csymbol cd="SI_BaseQuantities1">one</csymbol>
 </apply>
</math>

Prefix

eq (dim (solid angle) , one)

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.solid angle) = SI_BaseQuantities1.one

Rendered Presentation MathML

$$\dim \left(\mathrm{solid\; angle}\right)=\mathrm{one}$$

Signatures:

sts

frequency

Role:

constant

Description:

This symbol represents the physical quantity of frequency. A variable representing an arbitrary quantity of frequency is commonly represented with the italic, lower case greek variable, "\omega;".

Commented Mathematical property (CMP):

dim(frequency) = one/time

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="frequency"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMS cd="SI_BaseQuantities1" name="one"/>
      <OMS cd="SI_BaseQuantities1" name="time"/>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">frequency</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <csymbol cd="SI_BaseQuantities1">one</csymbol>
   <csymbol cd="SI_BaseQuantities1">time</csymbol>
  </apply>
 </apply>
</math>

Prefix

eq (dim (frequency) , divide (one, time) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.frequency) = SI_BaseQuantities1.one / SI_BaseQuantities1.time

Rendered Presentation MathML

$$\dim \left(\mathrm{frequency}\right)=\frac{\mathrm{one}}{\mathrm{time}}$$

Signatures:

sts

force

Role:

constant

Description:

This symbol represents the physical quantity of force. A variable representing an arbitrary quantity of force is commonly represented with the italic, upper case letter, "F".

Commented Mathematical property (CMP):

dim(force) = mass*length/(time^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="force"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA>
        <OMS cd="arith1" name="times"/>
	<OMS cd="SI_BaseQuantities1" name="mass"/>
        <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
      <OMA>
	<OMS cd="arith1" name="power"/>
	<OMS cd="SI_BaseQuantities1" name="time"/>
	<OMI> 2 </OMI>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">force</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">power</csymbol><csymbol cd="SI_BaseQuantities1">time</csymbol><cn>2</cn></apply>
  </apply>
 </apply>
</math>

Prefix

eq (dim (force) , divide (times (mass, length) , power (time, 2 ) ) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.force) = (SI_BaseQuantities1.mass * SI_BaseQuantities1.length) / SI_BaseQuantities1.time ^ 2

Rendered Presentation MathML

$$\dim \left(\mathrm{force}\right)=\frac{\mathrm{mass}\times \mathrm{length}}{{\mathrm{time}}^2}$$

Signatures:

sts

pressure

Role:

constant

Description:

This symbol represents the physical quantity of pressure. A variable representing an arbitrary quantity of pressure is commonly represented with the italic, lower case letter, "p".

Commented Mathematical property (CMP):

dim(pressure) = dim(force)/dim(area) = mass/(length*time*time)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA>
      <OMS cd="SI_Functions1" name="dim"/>
      <OMS cd="SI_DerivedQuantities1" name="pressure"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="force"/>
      </OMA>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="area"/>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMS cd="SI_BaseQuantities1" name="mass"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">pressure</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">force</csymbol></apply>
   <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">area</csymbol></apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <csymbol cd="SI_BaseQuantities1">mass</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (pressure) , divide (dim (force) , dim (area) ) , divide (mass, times (length, time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.pressure), SI_Functions1.dim(SI_DerivedQuantities1.force) / SI_Functions1.dim(SI_DerivedQuantities1.area), SI_BaseQuantities1.mass / (SI_BaseQuantities1.length * SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{pressure}\right),\frac{\dim \left(\mathrm{force}\right)}{\dim \left(\mathrm{area}\right)},\frac{\mathrm{mass}}{\mathrm{length}\times \mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

energy

Role:

constant

Description:

This symbol represents the physical quantity of energy. A variable representing an arbitrary quantity of energy is commonly represented with the italic, upper case letter, "E".

Commented Mathematical property (CMP):

dim(energy) = dim(force)*length = mass*length^2/(time^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="energy"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="times"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="force"/>
      </OMA>
      <OMS cd="SI_BaseQuantities1" name="length"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="mass"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">energy</csymbol></apply>
  <apply><csymbol cd="arith1">times</csymbol>
   <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">force</csymbol></apply>
   <csymbol cd="SI_BaseQuantities1">length</csymbol>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (energy) , times (dim (force) , length) , divide (times (mass, length, length) , times (time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.energy), SI_Functions1.dim(SI_DerivedQuantities1.force) * SI_BaseQuantities1.length, (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length) / (SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{energy}\right),\dim \left(\mathrm{force}\right)\mathrm{length},\frac{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}}{\mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

power

Role:

constant

Description:

This symbol represents the physical quantity of power, or energy divided by time. A variable representing an arbitrary quantity of power is commonly represented with the italic, upper case letter, "P".

Commented Mathematical property (CMP):

dim(power) = dim(energy)/time = mass*length^2/(time^3)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="power"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="energy"/>
      </OMA>
      <OMS cd="SI_BaseQuantities1" name="time"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="mass"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">power</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">energy</csymbol></apply>
   <csymbol cd="SI_BaseQuantities1">time</csymbol>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (power) , divide (dim (energy) , time) , divide (times (mass, length, length) , times (time, time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.power), SI_Functions1.dim(SI_DerivedQuantities1.energy) / SI_BaseQuantities1.time, (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length) / (SI_BaseQuantities1.time * SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{power}\right),\frac{\dim \left(\mathrm{energy}\right)}{\mathrm{time}},\frac{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}}{\mathrm{time}\times \mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

charge

Role:

constant

Description:

This symbol represents the physical quantity of electric charge. A variable representing an arbitrary quantity of charge is commonly represented with the italic, upper case letter, "Q".

Commented Mathematical property (CMP):

dim(charge) = current*time

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="charge"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="times"/>
      <OMS cd="SI_BaseQuantities1" name="current"/>
      <OMS cd="SI_BaseQuantities1" name="time"/>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">charge</csymbol></apply>
  <apply><csymbol cd="arith1">times</csymbol>
   <csymbol cd="SI_BaseQuantities1">current</csymbol>
   <csymbol cd="SI_BaseQuantities1">time</csymbol>
  </apply>
 </apply>
</math>

Prefix

eq (dim (charge) , times (current, time) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.charge) = SI_BaseQuantities1.current * SI_BaseQuantities1.time

Rendered Presentation MathML

$$\dim \left(\mathrm{charge}\right)=\mathrm{current}\times \mathrm{time}$$

Signatures:

sts

voltage

Role:

constant

Description:

This symbol represents the physical quantity of voltage or electric tension. A variable representing an arbitrary quantity of voltage is commonly represented with the italic, upper case letter, "V".

Commented Mathematical property (CMP):

dim(voltage) = dim(energy/charge) = mass*length^2/(current*time^3)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="voltage"/>
    </OMA>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
      <OMA>
        <OMS cd="arith1" name="divide"/>
        <OMS cd="SI_DerivedQuantities1" name="energy"/>
        <OMS cd="SI_DerivedQuantities1" name="charge"/>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="mass"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">voltage</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol>
   <apply><csymbol cd="arith1">divide</csymbol>
    <csymbol cd="SI_DerivedQuantities1">energy</csymbol>
    <csymbol cd="SI_DerivedQuantities1">charge</csymbol>
   </apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (voltage) , dim (divide (energy, charge) ) , divide (times (mass, length, length) , times (current, time, time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.voltage), SI_Functions1.dim(SI_DerivedQuantities1.energy / SI_DerivedQuantities1.charge), (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length) / (SI_BaseQuantities1.current * SI_BaseQuantities1.time * SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{voltage}\right),\dim \left(\frac{\mathrm{energy}}{\mathrm{charge}}\right),\frac{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}}{\mathrm{current}\times \mathrm{time}\times \mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

capacitance

Role:

constant

Description:

This symbol represents the physical quantity of electric capacitance. A variable representing an arbitrary quantity of capacitance is commonly represented with the italic, upper case letter, "C".

Commented Mathematical property (CMP):

dim(capacitance) = dim(charge/voltage) = current^2*time^4/(mass*length^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="capacitance"/>
    </OMA>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
      <OMA>
        <OMS cd="arith1" name="divide"/>
        <OMS cd="SI_DerivedQuantities1" name="charge"/>
        <OMS cd="SI_DerivedQuantities1" name="voltage"/>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="mass"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">capacitance</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol>
   <apply><csymbol cd="arith1">divide</csymbol>
    <csymbol cd="SI_DerivedQuantities1">charge</csymbol>
    <csymbol cd="SI_DerivedQuantities1">voltage</csymbol>
   </apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (capacitance) , dim (divide (charge, voltage) ) , divide (times (current, current, time, time, time, time) , times (mass, length, length) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.capacitance), SI_Functions1.dim(SI_DerivedQuantities1.charge / SI_DerivedQuantities1.voltage), (SI_BaseQuantities1.current * SI_BaseQuantities1.current * SI_BaseQuantities1.time * SI_BaseQuantities1.time * SI_BaseQuantities1.time * SI_BaseQuantities1.time) / (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{capacitance}\right),\dim \left(\frac{\mathrm{charge}}{\mathrm{voltage}}\right),\frac{\mathrm{current}\times \mathrm{current}\times \mathrm{time}\times \mathrm{time}\times \mathrm{time}\times \mathrm{time}}{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}})$$

Signatures:

sts

resistance

Role:

constant

Description:

This symbol represents the physical quantity of electrical resistance, the resistance that an electrical circuit has to electrical current. A variable representing an arbitrary quantity of electrical resistance is commonly represented with the italic, upper case letter, "R".

Commented Mathematical property (CMP):

dim(resistance) = dim(voltage/current) = mass*length^2/(current^2*time^3)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="resistance"/>
    </OMA>
    <OMA>
      <OMS cd="SI_Functions1" name="dim"/>
      <OMA>
	<OMS cd="arith1" name="divide"/>
	<OMS cd="SI_DerivedQuantities1" name="voltage"/>
	<OMS cd="SI_DerivedQuantities1" name="current"/>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="mass"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">resistance</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol>
   <apply><csymbol cd="arith1">divide</csymbol>
    <csymbol cd="SI_DerivedQuantities1">voltage</csymbol>
    <csymbol cd="SI_DerivedQuantities1">current</csymbol>
   </apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (resistance) , dim (divide (voltage, current) ) , divide (times (mass, length, length) , times (current, current, time, time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.resistance), SI_Functions1.dim(SI_DerivedQuantities1.voltage / SI_DerivedQuantities1.current), (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length) / (SI_BaseQuantities1.current * SI_BaseQuantities1.current * SI_BaseQuantities1.time * SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{resistance}\right),\dim \left(\frac{\mathrm{voltage}}{\mathrm{current}}\right),\frac{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}}{\mathrm{current}\times \mathrm{current}\times \mathrm{time}\times \mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

conductance

Role:

constant

Description:

This symbol represents the physical quantity of electrical conductance, the inverse of resistance. A variable representing an arbitrary quantity of conductance is commonly represented with the italic, upper case letter, "G" or "S".

Commented Mathematical property (CMP):

dim(conductance) = dim(current/voltage) = current^2*time^3/(mass*length^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="conductance"/>
    </OMA>
    <OMA>
      <OMS cd="SI_Functions1" name="dim"/>
      <OMA>
        <OMS cd="arith1" name="divide"/>
        <OMS cd="SI_DerivedQuantities1" name="current"/>
        <OMS cd="SI_DerivedQuantities1" name="voltage"/>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="mass"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">conductance</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol>
   <apply><csymbol cd="arith1">divide</csymbol>
    <csymbol cd="SI_DerivedQuantities1">current</csymbol>
    <csymbol cd="SI_DerivedQuantities1">voltage</csymbol>
   </apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (conductance) , dim (divide (current, voltage) ) , divide (times (current, current, time, time, time) , times (mass, length, length) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.conductance), SI_Functions1.dim(SI_DerivedQuantities1.current / SI_DerivedQuantities1.voltage), (SI_BaseQuantities1.current * SI_BaseQuantities1.current * SI_BaseQuantities1.time * SI_BaseQuantities1.time * SI_BaseQuantities1.time) / (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{conductance}\right),\dim \left(\frac{\mathrm{current}}{\mathrm{voltage}}\right),\frac{\mathrm{current}\times \mathrm{current}\times \mathrm{time}\times \mathrm{time}\times \mathrm{time}}{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}})$$

Signatures:

sts

magnetic flux

Role:

constant

Description:

This symbol represents the physical quantity of magnetic flux. A variable representing an arbitrary quantity of magnetic flux is commonly represented with the italic, upper case greek letter, "\Phi;".

Commented Mathematical property (CMP):

dim(magnetic flux) = dim(energy/current) = mass*length^2/(current*time^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="magnetic flux"/>
    </OMA>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
      <OMA>
        <OMS cd="arith1" name="divide"/>
        <OMS cd="SI_DerivedQuantities1" name="energy"/>
        <OMS cd="SI_DerivedQuantities1" name="current"/>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="mass"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">magnetic flux</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol>
   <apply><csymbol cd="arith1">divide</csymbol>
    <csymbol cd="SI_DerivedQuantities1">energy</csymbol>
    <csymbol cd="SI_DerivedQuantities1">current</csymbol>
   </apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (magnetic flux) , dim (divide (energy, current) ) , divide (times (mass, length, length) , times (current, time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.magnetic flux), SI_Functions1.dim(SI_DerivedQuantities1.energy / SI_DerivedQuantities1.current), (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length) / (SI_BaseQuantities1.current * SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{magnetic\; flux}\right),\dim \left(\frac{\mathrm{energy}}{\mathrm{current}}\right),\frac{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}}{\mathrm{current}\times \mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

magnetic flux density

Role:

constant

Description:

This symbol represents the physical quantity of magnetic flux density. A variable representing an arbitrary quantity of magnetic flux density is commonly represented with the italic, upper case letter, "B".

Commented Mathematical property (CMP):

dim(magnetic flux density) = dim(magnetic flux)/(length^2) = mass/(current*time^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="magnetic flux density"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA>
        <OMS cd="SI_Functions1" name="dim"/>
        <OMS cd="SI_DerivedQuantities1" name="magnetic flux"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="power"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMI> 2 </OMI>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMS cd="SI_BaseQuantities1" name="mass"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">magnetic flux density</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">magnetic flux</csymbol></apply>
   <apply><csymbol cd="arith1">power</csymbol><csymbol cd="SI_BaseQuantities1">length</csymbol><cn>2</cn></apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <csymbol cd="SI_BaseQuantities1">mass</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (magnetic flux density) , divide (dim (magnetic flux) , power (length, 2 ) ) , divide (mass, times (current, time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.magnetic flux density), SI_Functions1.dim(SI_DerivedQuantities1.magnetic flux) / SI_BaseQuantities1.length ^ 2, SI_BaseQuantities1.mass / (SI_BaseQuantities1.current * SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{magnetic\; flux\; density}\right),\frac{\dim \left(\mathrm{magnetic\; flux}\right)}{{\mathrm{length}}^2},\frac{\mathrm{mass}}{\mathrm{current}\times \mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

inductance

Role:

constant

Description:

This symbol represents the physical quantity of electrical inductance. A variable representing an arbitrary quantity of inductance is commonly represented with the italic, upper case letter, "L".

Commented Mathematical property (CMP):

dim(inductance) = dim(voltage)*time/current = mass*length^2/(current^2*time^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="inductance"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA>
        <OMS cd="arith1" name="times"/>
        <OMA> <OMS cd="SI_Functions1" name="dim"/>
              <OMS cd="SI_DerivedQuantities1" name="voltage"/>
        </OMA>
        <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
      <OMS cd="SI_DerivedQuantities1" name="current"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="mass"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="current"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
            <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">inductance</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">voltage</csymbol></apply>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
   <csymbol cd="SI_DerivedQuantities1">current</csymbol>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">current</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (inductance) , divide (times (dim (voltage) , time) , current) , divide (times (mass, length, length) , times (current, current, time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.inductance), (SI_Functions1.dim(SI_DerivedQuantities1.voltage) * SI_BaseQuantities1.time) / SI_DerivedQuantities1.current, (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length) / (SI_BaseQuantities1.current * SI_BaseQuantities1.current * SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{inductance}\right),\frac{\dim \left(\mathrm{voltage}\right)\mathrm{time}}{\mathrm{current}},\frac{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}}{\mathrm{current}\times \mathrm{current}\times \mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

Celsius temperature

Role:

constant

Description:

This symbol represents the physical quantity of Celsius temperature. A variable representing an arbitrary quantity of temperature is commonly represented with the italic, upper case letter, "T".

Commented Mathematical property (CMP):

dim(Celsius temperature) = temperature

Commented Mathematical property (CMP):

num(Celsius temperature) + 273.15 = num(temperature)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="Celsius temperature"/>
    </OMA>
    <OMS cd="SI_BaseQuantities1" name="temperature"/>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">Celsius temperature</csymbol></apply>
  <csymbol cd="SI_BaseQuantities1">temperature</csymbol>
 </apply>
</math>

Prefix

eq (dim (Celsius temperature) , temperature)

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.Celsius temperature) = SI_BaseQuantities1.temperature

Rendered Presentation MathML

$$\dim \left(\mathrm{Celsius\; temperature}\right)=\mathrm{temperature}$$

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA>
      <OMS cd="arith1" name="plus"/>
      <OMA> <OMS cd="SI_Functions1" name="num"/>
            <OMS cd="SI_DerivedQuantities1" name="Celsius temperature"/>
      </OMA>
      <OMF dec="273.15"/>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="arith1">plus</csymbol>
   <apply><csymbol cd="SI_Functions1">num</csymbol><csymbol cd="SI_DerivedQuantities1">Celsius temperature</csymbol></apply>
   <cn type="real">273.15</cn>
  </apply>
 </apply>
</math>

Prefix

eq (plus (num (Celsius temperature) , 273.15 ) )

Popcorn

SI_Functions1.num(SI_DerivedQuantities1.Celsius temperature) + 273.15

Rendered Presentation MathML

$$\mathrm{num}\left(\mathrm{Celsius\; temperature}\right)+273.15$$

Signatures:

sts

luminous flux

Role:

constant

Description:

This symbol represents the physical quantity of luminous flux. A variable representing an arbitrary quantity of luminous flux is commonly represented with the italic, upper case letter, "Φv" (\phi; sub V).

Commented Mathematical property (CMP):

dim(luminous flux) = (luminous intensity)*dim(solid angle) = (luminous intensity)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="luminous flux"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="times"/>
      <OMS cd="SI_BaseQuantities1" name="luminous intensity"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="solid angle"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">luminous flux</csymbol></apply>
  <apply><csymbol cd="arith1">times</csymbol>
   <csymbol cd="SI_BaseQuantities1">luminous intensity</csymbol>
   <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">solid angle</csymbol></apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (luminous flux) , times (luminous intensity, dim (solid angle) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.luminous flux), SI_BaseQuantities1.luminous intensity * SI_Functions1.dim(SI_DerivedQuantities1.solid angle))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{luminous\; flux}\right),\mathrm{luminous\; intensity}\dim \left(\mathrm{solid\; angle}\right))$$

Signatures:

sts

illuminance

Role:

constant

Description:

This symbol represents the physical quantity of illuminance. A variable representing an arbitrary quantity of illuminance is commonly represented with the italic, upper case letter, "E".

Commented Mathematical property (CMP):

dim(illuminance) = dim(luminous flux)/(length^2) = (luminous intensity)/(length^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation4" name="eqs"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="illuminance"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="luminous flux"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMS cd="SI_DerivedQuantities1" name="luminous intensity"/>
      <OMA> <OMS cd="arith1" name="times"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">illuminance</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">luminous flux</csymbol></apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <csymbol cd="SI_DerivedQuantities1">luminous intensity</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (illuminance) , divide (dim (luminous flux) , times (length, length) ) , divide (luminous intensity, times (length, length) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.illuminance), SI_Functions1.dim(SI_DerivedQuantities1.luminous flux) / (SI_BaseQuantities1.length * SI_BaseQuantities1.length), SI_DerivedQuantities1.luminous intensity / (SI_BaseQuantities1.length * SI_BaseQuantities1.length))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{illuminance}\right),\frac{\dim \left(\mathrm{luminous\; flux}\right)}{\mathrm{length}\times \mathrm{length}},\frac{\mathrm{luminous\; intensity}}{\mathrm{length}\times \mathrm{length}})$$

Signatures:

sts

radioactivity

Role:

constant

Description:

This symbol represents the physical quantity of radio nuclide activity, or radioactivity. A variable representing an arbitrary quantity of radioactivity is commonly represented with the italic, upper case letter, "A".

Commented Mathematical property (CMP):

dim(radioactivity) = dim(1/time)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="radioactivity"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMI> 1 </OMI>
      <OMS cd="SI_BaseQuantities1" name="time"/>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">radioactivity</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol><cn>1</cn><csymbol cd="SI_BaseQuantities1">time</csymbol></apply>
 </apply>
</math>

Prefix

eq (dim (radioactivity) , divide ( 1 , time) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.radioactivity) = 1 / SI_BaseQuantities1.time

Rendered Presentation MathML

$$\dim \left(\mathrm{radioactivity}\right)=\frac{1}{\mathrm{time}}$$

Signatures:

sts

absorbed dose

Role:

constant

Description:

This symbol represents the physical quantity of absorbed dose of ionizing radiation. A variable representing an arbitrary quantity of absorbed dose is commonly represented with the italic, upper case letter, "D".

Commented Mathematical property (CMP):

dim(absorbed dose) = dim(energy/mass)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="absorbed dose"/>
    </OMA>
    <OMA>
      <OMS cd="SI_Functions1" name="dim"/>
      <OMA>
	<OMS cd="arith1" name="divide"/>
	<OMS cd="SI_DerivedQuantities1" name="energy"/>
	<OMS cd="SI_BaseQuantities1" name="mass"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">absorbed dose</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol>
   <apply><csymbol cd="arith1">divide</csymbol>
    <csymbol cd="SI_DerivedQuantities1">energy</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eq (dim (absorbed dose) , dim (divide (energy, mass) ) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.absorbed dose) = SI_Functions1.dim(SI_DerivedQuantities1.energy / SI_BaseQuantities1.mass)

Rendered Presentation MathML

$$\dim \left(\mathrm{absorbed\; dose}\right)=\dim \left(\frac{\mathrm{energy}}{\mathrm{mass}}\right)$$

Signatures:

sts

equivalent dose

Role:

constant

Description:

This symbol represents the physical quantity of equivalent dose of ionizing radiation. Equivalent dose is similar to absorbed dose but is weighted to reflect differing biological effects and different radiation types. A variable representing an arbitrary quantity of equivalent dose is commonly represented with the italic, upper case letter, "H".

Commented Mathematical property (CMP):

dim(equivalent dose) = dim(energy/mass)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="equivalent dose"/>
    </OMA>
    <OMA>
      <OMS cd="SI_Functions1" name="dim"/>
      <OMA>
	<OMS cd="arith1" name="divide"/>
	<OMS cd="SI_DerivedQuantities1" name="energy"/>
	<OMS cd="SI_BaseQuantities1" name="mass"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">equivalent dose</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol>
   <apply><csymbol cd="arith1">divide</csymbol>
    <csymbol cd="SI_DerivedQuantities1">energy</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eq (dim (equivalent dose) , dim (divide (energy, mass) ) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.equivalent dose) = SI_Functions1.dim(SI_DerivedQuantities1.energy / SI_BaseQuantities1.mass)

Rendered Presentation MathML

$$\dim \left(\mathrm{equivalent\; dose}\right)=\dim \left(\frac{\mathrm{energy}}{\mathrm{mass}}\right)$$

Signatures:

sts

catalytic activity

Role:

constant

Description:

This symbol represents the physical quantity of catalytic activity, an amount of catalyst that effects a rate of catalytic conversion of an amount of substance.

Commented Mathematical property (CMP):

dim(catalytic activity) = (amount of substance)/time

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="catalytic activity"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="divide"/>
      <OMS cd="SI_BaseQuantities1" name="amount of substance"/>
      <OMS cd="SI_BaseQuantities1" name="time"/>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">catalytic activity</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <csymbol cd="SI_BaseQuantities1">amount of substance</csymbol>
   <csymbol cd="SI_BaseQuantities1">time</csymbol>
  </apply>
 </apply>
</math>

Prefix

eq (dim (catalytic activity) , divide (amount of substance, time) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.catalytic activity) = SI_BaseQuantities1.amount of substance / SI_BaseQuantities1.time

Rendered Presentation MathML

$$\dim \left(\mathrm{catalytic\; activity}\right)=\frac{\mathrm{amount\; of\; substance}}{\mathrm{time}}$$

Signatures:

sts

area

Role:

constant

Description:

This symbol represents the physical quantity of area.

Commented Mathematical property (CMP):

dim(area) = length*length

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="area"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="times"/>
      <OMS cd="SI_BaseQuantities1" name="length"/>
      <OMS cd="SI_BaseQuantities1" name="length"/>
    </OMA>
  </OMA>
</OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">area</csymbol></apply>
  <apply><csymbol cd="arith1">times</csymbol>
   <csymbol cd="SI_BaseQuantities1">length</csymbol>
   <csymbol cd="SI_BaseQuantities1">length</csymbol>
  </apply>
 </apply>
</math>

Prefix

eq (dim (area) , times (length, length) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.area) = SI_BaseQuantities1.length * SI_BaseQuantities1.length

Rendered Presentation MathML

$$\dim \left(\mathrm{area}\right)=\mathrm{length}\times \mathrm{length}$$

Signatures:

sts

volume

Role:

constant

Description:

This symbol represents the physical quantity of volume. It has the short symbol form, "V".

Commented Mathematical property (CMP):

dim(volume) = length^3

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
    <OMA>
      <OMS cd="relation1" name="eq"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="volume"/>
      </OMA>
      <OMA> <OMS cd="arith1" name="power"/>
            <OMS cd="SI_BaseQuantities1" name="length"/>
	    <OMI> 3 </OMI>
      </OMA>
    </OMA>
  </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">volume</csymbol></apply>
  <apply><csymbol cd="arith1">power</csymbol><csymbol cd="SI_BaseQuantities1">length</csymbol><cn>3</cn></apply>
 </apply>
</math>

Prefix

eq (dim (volume) , power (length, 3 ) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.volume) = SI_BaseQuantities1.length ^ 3

Rendered Presentation MathML

$$\dim \left(\mathrm{volume}\right)={\mathrm{length}}^3$$

Signatures:

sts

speed

Role:

constant

Description:

This symbol represents the physical quantity of speed. It is the size of the derivative of position with respect to time.

Commented Mathematical property (CMP):

dim(speed) = length/time

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
    <OMA>
      <OMS cd="relation1" name="eq"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="speed"/>
      </OMA>
      <OMA>
	<OMS cd="arith1" name="divide"/>
	<OMS cd="SI_BaseQuantities1" name="length"/>
	<OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">speed</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <csymbol cd="SI_BaseQuantities1">length</csymbol>
   <csymbol cd="SI_BaseQuantities1">time</csymbol>
  </apply>
 </apply>
</math>

Prefix

eq (dim (speed) , divide (length, time) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.speed) = SI_BaseQuantities1.length / SI_BaseQuantities1.time

Rendered Presentation MathML

$$\dim \left(\mathrm{speed}\right)=\frac{\mathrm{length}}{\mathrm{time}}$$

Signatures:

sts

momentum

Role:

constant

Description:

This symbol represents the physical quantity of momentum.

Commented Mathematical property (CMP):

dim(momentum) = mass*length/time

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
    <OMA>
      <OMS cd="relation1" name="eq"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="momentum"/>
      </OMA>
      <OMA>
        <OMS cd="arith1" name="divide"/>
        <OMA> <OMS cd="arith1" name="times"/>
              <OMS cd="SI_BaseQuantities1" name="mass"/>
	      <OMS cd="SI_BaseQuantities1" name="length"/>
        </OMA>
        <OMS cd="SI_BaseQuantities1" name="time"/>
      </OMA>
    </OMA>
  </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">momentum</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <csymbol cd="SI_BaseQuantities1">time</csymbol>
  </apply>
 </apply>
</math>

Prefix

eq (dim (momentum) , divide (times (mass, length) , time) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.momentum) = (SI_BaseQuantities1.mass * SI_BaseQuantities1.length) / SI_BaseQuantities1.time

Rendered Presentation MathML

$$\dim \left(\mathrm{momentum}\right)=\frac{\mathrm{mass}\times \mathrm{length}}{\mathrm{time}}$$

Signatures:

sts

moment of force

Role:

constant

Description:

This symbol represents the physical quantity of force.

Commented Mathematical property (CMP):

dim(moment of force) = length*dim(force) = mass*length^2/(time^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
    <OMA>
      <OMS cd="relation4" name="eqs"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
          <OMS cd="SI_DerivedQuantities1" name="moment of force"/>
      </OMA>
      <OMA>
	<OMS cd="arith1" name="times"/>
	<OMS cd="SI_BaseQuantities1" name="length"/>
	<OMA> <OMS cd="SI_Functions1" name="dim"/>
              <OMS cd="SI_DerivedQuantities1" name="force"/>
	</OMA>
      </OMA>
      <OMA>
	<OMS cd="arith1" name="divide"/>
	<OMA> <OMS cd="arith1" name="times"/>
              <OMS cd="SI_BaseQuantities1" name="mass"/>
              <OMS cd="SI_BaseQuantities1" name="length"/>
	      <OMS cd="SI_BaseQuantities1" name="length"/>
	</OMA>
	<OMA> <OMS cd="arith1" name="times"/>
	      <OMS cd="SI_BaseQuantities1" name="time"/>
	      <OMS cd="SI_BaseQuantities1" name="time"/>
	</OMA>
      </OMA>
    </OMA>
  </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">moment of force</csymbol></apply>
  <apply><csymbol cd="arith1">times</csymbol>
   <csymbol cd="SI_BaseQuantities1">length</csymbol>
   <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">force</csymbol></apply>
  </apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (moment of force) , times (length, dim (force) ) , divide (times (mass, length, length) , times (time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.moment of force), SI_BaseQuantities1.length * SI_Functions1.dim(SI_DerivedQuantities1.force), (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length) / (SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{moment\; of\; force}\right),\mathrm{length}\dim \left(\mathrm{force}\right),\frac{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}}{\mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

density

Role:

constant

Description:

This symbol represents the physical quantity of volumic mass density.

Commented Mathematical property (CMP):

dim(density) = mass/(length^3)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
    <OMA>
      <OMS cd="relation1" name="eq"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="density"/>
      </OMA>
      <OMA>
        <OMS cd="arith1" name="divide"/>
	<OMS cd="SI_BaseQuantities1" name="mass"/>
        <OMA> <OMS cd="arith1" name="power"/>
              <OMS cd="SI_BaseQuantities1" name="length"/>
              <OMI> 3 </OMI>
        </OMA>
      </OMA>
    </OMA>
  </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">density</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <csymbol cd="SI_BaseQuantities1">mass</csymbol>
   <apply><csymbol cd="arith1">power</csymbol><csymbol cd="SI_BaseQuantities1">length</csymbol><cn>3</cn></apply>
  </apply>
 </apply>
</math>

Prefix

eq (dim (density) , divide (mass, power (length, 3 ) ) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.density) = SI_BaseQuantities1.mass / SI_BaseQuantities1.length ^ 3

Rendered Presentation MathML

$$\dim \left(\mathrm{density}\right)=\frac{\mathrm{mass}}{{\mathrm{length}}^3}$$

Signatures:

sts

concentration

Role:

constant

Description:

This symbol represents the physical quantity of concentration, the amount of a substance in a volume.

Commented Mathematical property (CMP):

dim(concentration) = (amount of substance)/length^3

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
    <OMA>
      <OMS cd="relation1" name="eq"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="concentration"/>
      </OMA>
      <OMA>
	<OMS cd="arith1" name="divide"/>
	<OMS cd="SI_BaseQuantities1" name="amount of substance"/>
	<OMA> <OMS cd="arith1" name="power"/>
              <OMS cd="SI_BaseQuantities1" name="length"/>
              <OMI> 3 </OMI>
	</OMA>
      </OMA>
    </OMA>
  </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">concentration</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <csymbol cd="SI_BaseQuantities1">amount of substance</csymbol>
   <apply><csymbol cd="arith1">power</csymbol><csymbol cd="SI_BaseQuantities1">length</csymbol><cn>3</cn></apply>
  </apply>
 </apply>
</math>

Prefix

eq (dim (concentration) , divide (amount of substance, power (length, 3 ) ) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.concentration) = SI_BaseQuantities1.amount of substance / SI_BaseQuantities1.length ^ 3

Rendered Presentation MathML

$$\dim \left(\mathrm{concentration}\right)=\frac{\mathrm{amount\; of\; substance}}{{\mathrm{length}}^3}$$

Signatures:

sts

heat

Role:

constant

Description:

This symbol represents the physical quantity of energy that is transferred from one object to another due to a difference in temperature.

Commented Mathematical property (CMP):

dim(heat) = dim(energy) = mass*length^2/(time^2)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
    <OMA>
      <OMS cd="relation4" name="eqs"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="heat"/>
      </OMA>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="energy"/>
      </OMA>
      <OMA>
	<OMS cd="arith1" name="divide"/>
	<OMA> <OMS cd="arith1" name="times"/>
              <OMS cd="SI_BaseQuantities1" name="mass"/>
              <OMS cd="SI_BaseQuantities1" name="length"/>
              <OMS cd="SI_BaseQuantities1" name="length"/>
	</OMA>
	<OMA> <OMS cd="arith1" name="times"/>
              <OMS cd="SI_BaseQuantities1" name="time"/>
              <OMS cd="SI_BaseQuantities1" name="time"/>
	</OMA>
      </OMA>
    </OMA>
  </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation4">eqs</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">heat</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">energy</csymbol></apply>
  <apply><csymbol cd="arith1">divide</csymbol>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">mass</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
    <csymbol cd="SI_BaseQuantities1">length</csymbol>
   </apply>
   <apply><csymbol cd="arith1">times</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
    <csymbol cd="SI_BaseQuantities1">time</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eqs (dim (heat) , dim (energy) , divide (times (mass, length, length) , times (time, time) ) )

Popcorn

relation4.eqs(SI_Functions1.dim(SI_DerivedQuantities1.heat), SI_Functions1.dim(SI_DerivedQuantities1.energy), (SI_BaseQuantities1.mass * SI_BaseQuantities1.length * SI_BaseQuantities1.length) / (SI_BaseQuantities1.time * SI_BaseQuantities1.time))

Rendered Presentation MathML

$$\mathrm{eqs}(\dim \left(\mathrm{heat}\right),\dim \left(\mathrm{energy}\right),\frac{\mathrm{mass}\times \mathrm{length}\times \mathrm{length}}{\mathrm{time}\times \mathrm{time}})$$

Signatures:

sts

entropy

Role:

constant

Description:

This symbol represents the physical quantity of entropy, a measure of the disorder of a system.

Commented Mathematical property (CMP):

dim(entropy) = dim(energy/temperature)

Formal Mathematical property (FMP):

OpenMath XML (source)

<OMOBJ xmlns="http://www.openmath.org/OpenMath">
    <OMA>
      <OMS cd="relation1" name="eq"/>
      <OMA> <OMS cd="SI_Functions1" name="dim"/>
            <OMS cd="SI_DerivedQuantities1" name="entropy"/>
      </OMA>
      <OMA>
	<OMS cd="SI_Functions1" name="dim"/>
	<OMA>
	  <OMS cd="arith1" name="divide"/>
	  <OMS cd="SI_DerivedQuantities1" name="energy"/>
	  <OMS cd="SI_BaseQuantities1" name="temperature"/>
	</OMA>
      </OMA>
    </OMA>
  </OMOBJ>

Strict Content MathML

<math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply><csymbol cd="relation1">eq</csymbol>
  <apply><csymbol cd="SI_Functions1">dim</csymbol><csymbol cd="SI_DerivedQuantities1">entropy</csymbol></apply>
  <apply><csymbol cd="SI_Functions1">dim</csymbol>
   <apply><csymbol cd="arith1">divide</csymbol>
    <csymbol cd="SI_DerivedQuantities1">energy</csymbol>
    <csymbol cd="SI_BaseQuantities1">temperature</csymbol>
   </apply>
  </apply>
 </apply>
</math>

Prefix

eq (dim (entropy) , dim (divide (energy, temperature) ) )

Popcorn

SI_Functions1.dim(SI_DerivedQuantities1.entropy) = SI_Functions1.dim(SI_DerivedQuantities1.energy / SI_BaseQuantities1.temperature)

Rendered Presentation MathML

$$\dim \left(\mathrm{entropy}\right)=\dim \left(\frac{\mathrm{energy}}{\mathrm{temperature}}\right)$$

Signatures:

sts