OpenMath Content Dictionary: SI_BaseUnits1

Canonical URL:
http://www.openmath.org/cd/SI_BaseUnits1.ocd
CD File:
SI_BaseUnits1.ocd
CD as XML Encoded OpenMath:
SI_BaseUnits1.omcd
Defines:
ampere, candela, kelvin, kilogram, metre, mole, one, second
Date:
2009-01-10
Version:
1 (Revision 1)
Review Date:
2009-04-01
Status:
experimental


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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.

This CD defines symbols to represent the seven base units of 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 base quantity in SI_BaseQuantities.ocd.


one

Role:
constant
Description:

This symbol represents the dimensionless unit corresponding to the dimensionless quantity dimension. It has the short symbol form, "1".

Commented Mathematical property (CMP):
one = unit(one) = 1
Formal Mathematical property (FMP):
eqs ( one , unit ( one ) , 1 )
Signatures:
sts


[Next: second] [Last: candela] [Top]

second

Role:
constant
Description:

This symbol represents the measure of one second of time, the standard SI unit of measure for quantities of time. It has the short symbol form, "s", in upright roman font.

Commented Mathematical property (CMP):
This is a base unit for the SI system. It is defined physically as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom [13th CGPM (1967)]. This definition refers to a caesium atom at rest at a temperature of 0 kelvin (absolute zero). The ground state is defined at zero magnetic field [1997 meeting of the BIPM].
Commented Mathematical property (CMP):
second = unit(time)
Formal Mathematical property (FMP):
second = unit ( time )
Signatures:
sts


[Next: metre] [Previous: one] [Top]

metre

Role:
constant
Description:

This symbol represents the measure of one metre of length, the standard SI unit of measure for quantities of length or physical distance. It has the short symbol form, "m", in upright roman font.

Commented Mathematical property (CMP):
This is a base unit for the SI system. It is defined physically as the length of the path travelled by light in vacuum during a time interval of 1/299 792 458 of a second. This definition was provided in 1983 by the seventeenth General Conference on Weights and Measures (CGPM) [17th CGPM (1983)].
Commented Mathematical property (CMP):
metre = unit(length)
Formal Mathematical property (FMP):
metre = unit ( length )
Signatures:
sts


[Next: kilogram] [Previous: second] [Top]

kilogram

Role:
constant
Description:

This symbol represents the measure of one kilogram of mass, the standard SI unit of measure for quantities of mass. It has the short symbol form, "kg", in upright roman font.

Commented Mathematical property (CMP):
This is a base unit for the SI system. It is defined physically as the mass of the International Prototype Kilogram stored at the International Bureau of Weights and Measures (BIPM) in in Sèvres, France [3rd CGPM (1901)]. A proposal is pending to redefine the standard mass in terms of natural constants.
Commented Mathematical property (CMP):
kilogram = unit(mass)
Formal Mathematical property (FMP):
kilogram = unit ( mass )
Signatures:
sts


[Next: ampere] [Previous: metre] [Top]

ampere

Role:
constant
Description:

This symbol represents the measure of one ampere, the standard SI unit of measure for quantities of electric current. It has the short symbol form, "A", in upright roman font.

Commented Mathematical property (CMP):
This is a base unit for the SI system. It is defined physically as that constant electric current which, if maintained in two parallel conductors of infinite length, of negligible circular cross-section, and placed 1 metre apart in vacuum, would produce between these conductors a force equal to 2 × 10–7 newton per metre of length [9th CGPM (1948)].
Commented Mathematical property (CMP):
ampere = unit(current)
Formal Mathematical property (FMP):
ampere = unit ( current )
Signatures:
sts


[Next: kelvin] [Previous: kilogram] [Top]

kelvin

Role:
constant
Description:

This symbol represents the measure of one kelvin, the standard SI unit of measure for quantities of thermodynamic temperature. It has the short symbol form, "K", in upright roman font.

Commented Mathematical property (CMP):
This is a base unit for the SI system. It is defined physically as equal to the fraction 1/273.16 of the thermodynamic temperature of the triple point of water [International Temperature Scale of 1990, ITS-90, adopted by CIPM in 1989]. The isotopic composition of the water is defined by Vienna Standard Mean Ocean Water.
Commented Mathematical property (CMP):
kelvin = unit(temperature)
Formal Mathematical property (FMP):
kelvin = unit ( temperature )
Signatures:
sts


[Next: mole] [Previous: ampere] [Top]

mole

Role:
constant
Description:

This symbol represents the measure of one mole, the standard SI unit measure for quantities of amount of substance. It has the short symbol form, "mol", in upright roman font.

Commented Mathematical property (CMP):
This is a base unit for the SI system. It is defined physically as the amount of substance of a system which contains as many "elemental entities" as there are atoms in 12 grams of carbon-12 [14th CGPM (1971)].
Commented Mathematical property (CMP):
mole = unit(amount-of-substance)
Formal Mathematical property (FMP):
mole = unit ( amount-of-substance )
Signatures:
sts


[Next: candela] [Previous: kelvin] [Top]

candela

Role:
constant
Description:

This symbol represents the measure of one candela, the standard SI unit measure for quantities of luminous intensity. It has the short symbol form, "cd", in upright roman font.

Commented Mathematical property (CMP):
This is a base unit for the SI system. It is defined physically as the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540×10^12 hertz and that has a radiant intensity in that direction of 1/683 watt per steradian [16th CGPM (1979)].
Commented Mathematical property (CMP):
candela = unit(luminous-intensity)
Formal Mathematical property (FMP):
candela = unit ( luminous-intensity )
Signatures:
sts


[First: one] [Previous: mole] [Top]