OpenMath

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OpenMath Content Dictionary: SI_NamedDerivedUnits1

Canonical URL:
http://www.openmath.org/cd/SI_NamedDerivedUnits1.ocd
CD File:
SI_NamedDerivedUnits1.ocd
CD as XML Encoded OpenMath:
SI_NamedDerivedUnits1.omcd
Defines:
becquerel, coulomb, degree-Celsius, farad, gram, gray, henry, hertz, joule, katal, lumen, lux, newton, ohm, pascal, radian, siemens, sievert, steradian, tesla, volt, watt, weber
Date:
2010-08-25
Version:
2 (Revision 2)
Review Date:
2017-12-31
Status:
experimental

     This document is distributed in the hope that it will be useful, 
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     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

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     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
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       c) The derived work is distributed under terms that allow the
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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.


  Author: J B Collins

2010-08-25 This CD defines symbols to represent the names of named derived units the SI (Syst\'eme International) system of units. (DRAFT INTERNATIONAL STANDARD ISO/DIS 80000-1 - "Quantities and units", 2008). Each unit refers to a corresponding derived quantity in SI_DerivedQuantities.ocd.

gram

Role:
constant
Description:

This symbol represents one gram. This unit is implied by the incorporation of the prefix "kilo" in the base unit standard, kilogram. Since SI prefixes may not, by SI standard, be presented by prepending to "kilogram", the gram is introduced for the application of prefixes. By itself, gram should not appear in SI compliant presentation. It has the short symbol form, "g".

Commented Mathematical property (CMP):
gram = kilogram/1000
Signatures:
sts

[Next: radian] [Last: katal] [Top]

radian

Role:
constant
Description:

This symbol represents one radian, the natural unit of measure for angle. It has the short symbol form, "rad".

Commented Mathematical property (CMP):
This is a dimensionless derived unit for the SI system. It is the angle subtended at the center of a circular arc with length the same as the radius of the corresponding circle.
Commented Mathematical property (CMP):
unit(radian) = 1
Signatures:
sts

[Next: steradian] [Previous: gram] [Top]

steradian

Role:
constant
Description:

This symbol represents one steradian, the natural unit of measure for solid angle. It has the short symbol form, "sr".

Commented Mathematical property (CMP):
One steradian is defined as the solid angle subtended at the center of a sphere of radius r by a part of the surface of the sphere having an area r*r.
Commented Mathematical property (CMP):
unit(steradian) = 1
Signatures:
sts

[Next: hertz] [Previous: radian] [Top]

hertz

Role:
constant
Description:

This symbol represents an SI unit of frequency. It has the short symbol form, "Hz".

Commented Mathematical property (CMP):
unit(hertz) = one/second
Signatures:
sts

[Next: newton] [Previous: steradian] [Top]

newton

Role:
constant
Description:

This symbol represents an SI unit of force. It has the short symbol form, "N".

Commented Mathematical property (CMP):
unit(newton) = kilogram*metre/second^2
Signatures:
sts

[Next: pascal] [Previous: hertz] [Top]

pascal

Role:
constant
Description:

This symbol represents an SI unit of pressure. It has the short symbol form, "Pa".

Commented Mathematical property (CMP):
unit(pascal) = unit(newton)/length^2
Signatures:
sts

[Next: joule] [Previous: newton] [Top]

joule

Role:
constant
Description:

This symbol represents an SI unit of energy. It has the short symbol form, "J".

Commented Mathematical property (CMP):
unit(joule) = unit(newton)*metre
Signatures:
sts

[Next: watt] [Previous: pascal] [Top]

watt

Role:
constant
Description:

This symbol represents an SI unit of power, a joule per second. It has the short symbol form, "W".

Commented Mathematical property (CMP):
unit(watt) = unit(joule)/second
Signatures:
sts

[Next: coulomb] [Previous: joule] [Top]

coulomb

Role:
constant
Description:

This symbol represents an SI unit of electric charge. It has the short symbol form, "C".

Commented Mathematical property (CMP):
unit(coulomb) = ampere*second
Signatures:
sts

[Next: volt] [Previous: watt] [Top]

volt

Role:
constant
Description:

This symbol represents an SI unit of voltage or electric tension. It has the short symbol form, "V".

Commented Mathematical property (CMP):
unit(volt) = unit(joule/coulomb)
Signatures:
sts

[Next: farad] [Previous: coulomb] [Top]

farad

Role:
constant
Description:

This symbol represents an SI unit of electric capacitance. It has the short symbol form, "F".

Commented Mathematical property (CMP):
unit(farad) = unit(coulomb/volt)
Signatures:
sts

[Next: ohm] [Previous: volt] [Top]

ohm

Role:
constant
Description:

This symbol represents an SI unit of electrical resistance. It has the short symbol form, "\Omega;".

Commented Mathematical property (CMP):
unit(ohm) = unit(volt/ampere)
Signatures:
sts

[Next: siemens] [Previous: farad] [Top]

siemens

Role:
constant
Description:

This symbol represents an SI unit of electrical conductance. It is not plural. It has the short symbol form, "S".

Commented Mathematical property (CMP):
unit(siemens) = unit(ampere/volt)
Signatures:
sts

[Next: weber] [Previous: ohm] [Top]

weber

Role:
constant
Description:

This symbol represents an SI unit of magnetic flux. It has the short symbol form, "Wb".

Commented Mathematical property (CMP):
unit(weber) = unit(joule/ampere)
Signatures:
sts

[Next: tesla] [Previous: siemens] [Top]

tesla

Role:
constant
Description:

This symbol represents an SI unit of magnetic flux density. It has the short symbol form, "T".

Commented Mathematical property (CMP):
unit(tesla) = unit(weber)/(metre^2)
Signatures:
sts

[Next: henry] [Previous: weber] [Top]

henry

Role:
constant
Description:

This symbol represents an SI unit of electrical inductance. It has the short symbol form, "H".

Commented Mathematical property (CMP):
unit(henry) = unit(volt*second/ampere)
Signatures:
sts

[Next: degree-Celsius] [Previous: tesla] [Top]

degree-Celsius

Role:
constant
Description:

This symbol represents an SI unit of Celsius temperature. It has the short symbol form, "ºC".

Commented Mathematical property (CMP):
unit(degree Celsius) = unit(kelvin)
Signatures:
sts

[Next: lumen] [Previous: henry] [Top]

lumen

Role:
constant
Description:

This symbol represents an SI unit of luminous flux. It has the short symbol form, "lm".

Commented Mathematical property (CMP):
unit(lumen) = unit(candela*steradian)
Signatures:
sts

[Next: lux] [Previous: degree-Celsius] [Top]

lux

Role:
constant
Description:

This symbol represents an SI unit of illuminance. It has the short symbol form, "lx".

Commented Mathematical property (CMP):
unit(lux) = unit(lumen/(metre^2))
Signatures:
sts

[Next: becquerel] [Previous: lumen] [Top]

becquerel

Role:
constant
Description:

This symbol represents an SI unit of radio nuclide activity, or radioactivity. A becquerel of activity represents one nuclear decay event per second. It has the short symbol form, "Bq".

Commented Mathematical property (CMP):
unit(becquerel) = 1/(second)
Signatures:
sts

[Next: gray] [Previous: lux] [Top]

gray

Role:
constant
Description:

This symbol represents an SI unit of absorbed dose of ionizing, radiation. A gray of absorbed dose represents one joule of energy absorbed per kilogram of mass. It has the short symbol form, "Gy".

Commented Mathematical property (CMP):
unit(gray) = unit(joule/kilogram)
Signatures:
sts

[Next: sievert] [Previous: becquerel] [Top]

sievert

Role:
constant
Description:

This symbol represents an SI unit of equivalent dose of ionizing, radiation. A sievert of equivalent dose represents one joule of biologically damaging energy absorbed per kilogram of mass. It has the short symbol form, "Sv".

Commented Mathematical property (CMP):
unit(sievert) = unit(joule/kilogram)
Signatures:
sts

[Next: katal] [Previous: gray] [Top]

katal

Role:
constant
Description:

This symbol represents an SI unit of equivalent dose of catalytic activity. A katal of catalytic activity represents the amount of catalyst to effect one mole of catalytic conversion per second. It has the short symbol form, "kat".

Commented Mathematical property (CMP):
unit(katal) = mole/second
Signatures:
sts

[First: gram] [Previous: sievert] [Top]