# OpenMath Content Dictionary: units_metric1

Canonical URL:
http://www.openmath.org/cd/units_metric1.ocd
CD File:
units_metric1.ocd
CD as XML Encoded OpenMath:
units_metric1.omcd
Defines:
Coulomb, Joule, Newton, Newton_per_sqr_metre, Pascal, Watt, amp, degree_Celsius, degree_Kelvin, gramme, litre, litre_pre1964, metre, metre_sqrd, metres_per_second, metres_per_second_sqrd, second, volt
Date:
2004-08-27
Version:
3 (Revision 1)
Review Date:
2017-12-31
Status:
experimental


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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,
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society at http://www.openmath.org.

  Author: OpenMath Consortium (James Davenport)
SourceURL: https://github.com/OpenMath/CDs


This CD defines symbols to represent the basic physical units in the SI (syst\'eme international) system of units. It should probably be renamed units_si.

## metre

Description:

This symbol represents the measure of one metre. This is the standard SI unit measure for physical distance.

Commented Mathematical property (CMP):
This is a base unit for the SI system
Signatures:
sts

 [Next: metre_sqrd] [Last: volt] [Top]

## metre_sqrd

Description:

This symbol represents the measure of one metre squared. This is the standard SI measure for physical area.

Formal Mathematical property (FMP):
$\mathrm{metre_sqrd}=\mathrm{metre}×\mathrm{metre}$
Signatures:
sts

 [Next: litre] [Previous: metre] [Top]

## litre

Description:

This symbol represents the measure of one litre. This is a standard metric measure for physical volume.

Commented Mathematical property (CMP):
A litre is, since 1964, a cubic decimetre, or a thousandth of a cubic metre, as the FMP below states.
Formal Mathematical property (FMP):
$1\mathrm{litre}=0.001{\mathrm{metre}}^{3}$
Signatures:
sts

 [Next: litre_pre1964] [Previous: metre_sqrd] [Top]

## litre_pre1964

Description:

This symbol represents the previous (1901-1964) measure of one litre. This used to be a standard metric measure for physical volume.

Commented Mathematical property (CMP):
A litre is, since 1901 and until 1964, the volume occupied by a kilogramme of water at maximum density and standard pressure. The difference is about 0.0028%.
Formal Mathematical property (FMP):
$1\mathrm{litre_pre1964}=1.000028\mathrm{litre}$
Signatures:
sts

 [Next: metres_per_second] [Previous: litre] [Top]

## metres_per_second

Description:

This symbol represents the measure of one metre per second. This is the standard SI measure for speed.

Commented Mathematical property (CMP):
1 metres_per_second = 1 metre in 1 second
Formal Mathematical property (FMP):
$\mathrm{metres_per_second}=\frac{\mathrm{metre}}{\mathrm{second}}$
Signatures:
sts

 [Next: metres_per_second_sqrd] [Previous: litre_pre1964] [Top]

## metres_per_second_sqrd

Description:

This symbol represents the measure of one metre per second squared. This is the standard SI measure for acceleration.

Commented Mathematical property (CMP):
1 metres_per_second_sqrd = 1 metres_per_second (change) in 1 second
Formal Mathematical property (FMP):
$\mathrm{metres_per_second_sqrd}=\frac{\mathrm{metres_per_second}}{\mathrm{second}}$
Signatures:
sts

 [Next: second] [Previous: metres_per_second] [Top]

## second

Description:

This symbol represents the measure of one second. This is the standard SI measure for time.

Commented Mathematical property (CMP):
The Si unit is the same as the UTC unit, to which we refer
Formal Mathematical property (FMP):
$\mathrm{second}=\mathrm{second}$
Signatures:
sts

 [Next: gramme] [Previous: metres_per_second_sqrd] [Top]

## gramme

Description:

This symbol represents the measure of one gramme. This is not quite the standard SI measure for mass, which is the kilogramme, but OpenMath chooses to regard the gramme as standard, otherwise one would have to call it the milli-kilogramme.

Commented Mathematical property (CMP):
This is a basic unit of the SI system
Signatures:
sts

 [Next: Newton] [Previous: second] [Top]

## Newton

Description:

This symbol represents the measure of one Newton. This is the standard SI measure for force.

Signatures:
sts

 [Next: Joule] [Previous: gramme] [Top]

## Joule

Description:

This symbol represents the measure of one Joule. This is the standard SI measure for energy.

Signatures:
sts

 [Next: Watt] [Previous: Newton] [Top]

## Watt

Description:

This symbol represents the measure of one Watt. This is the standard SI measure for power.

Signatures:
sts

 [Next: degree_Kelvin] [Previous: Joule] [Top]

## degree_Kelvin

Description:

This symbol represents the measure of one degree Kelvin. This is a standard SI measure for temperature relative to absolute zero.

Commented Mathematical property (CMP):
1 degree Kelvin = 1 - 273.15 degrees Celsius
Formal Mathematical property (FMP):
$1\mathrm{degree_Kelvin}=\mathrm{degree_Celsius}-273.15$
Signatures:
sts

 [Next: degree_Celsius] [Previous: Watt] [Top]

## degree_Celsius

Description:

This symbol represents the measure of one degree Celsius. This is a standard metric measure for temperature.

Signatures:
sts

 [Next: Pascal] [Previous: degree_Kelvin] [Top]

## Pascal

Description:

This symbol represents the measure of one Newton per square metre. This is the standard SI measure for pressure.

Signatures:
sts

 [Next: Newton_per_sqr_metre] [Previous: degree_Celsius] [Top]

## Newton_per_sqr_metre

Description:

This symbol represents the measure of one Newton per square metre. This is another (deprecated in OpenMath) name for the standard SI measure for pressure, the Pascal.

Formal Mathematical property (FMP):
$\mathrm{Newton_per_sqr_metre}=\mathrm{Pascal}$
Signatures:
sts

 [Next: Coulomb] [Previous: Pascal] [Top]

## Coulomb

Description:

This symbol represents the measure of one Coulomb. This is the standard SI measure for charge.

Signatures:
sts

 [Next: amp] [Previous: Newton_per_sqr_metre] [Top]

## amp

Description:

This symbol represents the measure of one amp. This is the standard SI measure for current.

Signatures:
sts

 [Next: volt] [Previous: Coulomb] [Top]

## volt

Description:

This symbol represents the measure of one volt. This is the standard SI measure for voltage.

Signatures:
sts

 [First: metre] [Previous: amp] [Top]