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holder permits you to develop any derived work from this document
provided that the following conditions are met.
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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
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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
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c) The derived work is distributed under terms that allow the
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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
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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.
SI_DerivedQuantities1
http://www.openmath.org/cd/SI_DerivedQuantities1.ocd
2017-12-31
experimental
2009-01-10
1
1
Author: J B Collins
angle
constant
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;".
dim(angle) = one
solid-angle
constant
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;".
dim(solid-angle) = one
frequency
constant
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;".
dim(frequency) = one/time
force
constant
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".
dim(force) = mass*length/(time^2)
2
pressure
constant
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".
dim(pressure) = dim(force)/dim(area) = mass/(length*time*time)
energy
constant
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".
dim(energy) = dim(force)*length = mass*length^2/(time^2)
power
constant
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".
dim(power) = dim(energy)/time = mass*length^2/(time^3)
charge
constant
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".
dim(charge) = current*time
voltage
constant
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".
dim(voltage) = dim(energy/charge) = mass*length^2/(current*time^3)
capacitance
constant
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".
dim(capacitance) = dim(charge/voltage) = current^2*time^4/(mass*length^2)
resistance
constant
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".
dim(resistance) = dim(voltage/current) = mass*length^2/(current^2*time^3)
conductance
constant
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".
dim(conductance) = dim(current/voltage) = current^2*time^3/(mass*length^2)
magnetic-flux
constant
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;".
dim(magnetic-flux) = dim(energy/current) = mass*length^2/(current*time^2)
magnetic-flux-density
constant
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".
dim(magnetic-flux-density) = dim(magnetic-flux)/(length^2)
= mass/(current*time^2)
2
inductance
constant
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".
dim(inductance) = dim(voltage)*time/current = mass*length^2/(current^2*time^2)
Celsius-temperature
constant
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".
dim(Celsius-temperature) = temperature
num(Celsius-temperature) + 273.15 = num(temperature)
luminous-flux
constant
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).
dim(luminous-flux) = (luminous-intensity)*dim(solid-angle)
= (luminous-intensity)
illuminance
constant
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".
dim(illuminance) = dim(luminous-flux)/(length^2)
= (luminous-intensity)/(length^2)
radioactivity
constant
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".
dim(radioactivity) = dim(1/time)
1
absorbed-dose
constant
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".
dim(absorbed-dose) = dim(energy/mass)
equivalent-dose
constant
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".
dim(equivalent-dose) = dim(energy/mass)
catalytic-activity
constant
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.
dim(catalytic-activity) = (amount-of-substance)/time
area
constant
This symbol represents the physical quantity of area.
dim(area) = length*length
volume
constant
This symbol represents the physical quantity of volume.
It has the short symbol form, "V".
dim(volume) = length^3
3
speed
constant
This symbol represents the physical quantity of speed. It is the size of the
derivative of position with respect to time.
dim(speed) = length/time
momentum
constant
This symbol represents the physical quantity of momentum.
dim(momentum) = mass*length/time
moment-of-force
constant
This symbol represents the physical quantity of force.
dim(moment-of-force) = length*dim(force) = mass*length^2/(time^2)
density
constant
This symbol represents the physical quantity of volumic mass density.
dim(density) = mass/(length^3)
3
concentration
constant
This symbol represents the physical quantity of concentration, the
amount of a substance in a volume.
dim(concentration) = (amount-of-substance)/length^3
3
heat
constant
This symbol represents the physical quantity of energy that is transferred
from one object to another due to a difference in temperature.
dim(heat) = dim(energy) = mass*length^2/(time^2)
entropy
constant
This symbol represents the physical quantity of entropy, a measure
of the disorder of a system.
dim(entropy) = dim(energy/temperature)