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 <p fontName="Arial">Dimensions</p>

Dimension(x) return the dimension name for the units in x.

x Dimension d Dimensions eval x UoM 2 findrows : ( 1 - ≡ Unknow Dimension. d 1 el if 1 1 line :

x base Dimension base base ≡ Dimensions eval x Dimension eval 1 findrows 3 el Not implemented yet. error if 1 1 line :

Dimensions names.

Dimensions DimensionName SMathUnits Base IsBase? AbsorbedDose m 2 ^ s 2 ^ / u.L 2 ^ u.t 2 ^ / 0 Acceleration m s 2 ^ / u.L u.t 2 ^ / 0 Action kg m 2 ^ * s / u.M u.L 2 ^ * u.t / 0 AmountOfSubstance mol u.N 1 AngularAcceleration Rad s 2 ^ / u.A u.t 2 ^ / 0 AngularJerk Rad s 3 ^ / u.A u.t 3 ^ / 0 AngularSpeed Rad s / u.A u.t / 0 Area m 2 ^ u.L 2 ^ 0 Dimensionless 1 1 0 DynamicViscosity kg m s * / u.M u.L u.t * / 0 ElectricCapacitance s 4 ^ A 2 ^ * kg m 2 ^ * / u.t 4 ^ u.C 2 ^ * u.M u.L 2 ^ * / 0 ElectricCharge s A * u.t u.C * 0 ElectricConductance s 3 ^ A 2 ^ * kg m 2 ^ * / u.t 3 ^ u.C 2 ^ * u.M u.L 2 ^ * / 0 ElectricCurrent A u.C 1 ElectricDipoleMoment m s * A * u.L u.t * u.C * 0 ElectricDisplacement s A * m 2 ^ / u.t u.C * u.L 2 ^ / 0 ElectricFieldStrength m kg * A s 3 ^ * / u.L u.M * u.C u.t 3 ^ * / 0 ElectricPermittivity A 2 ^ s 4 ^ * kg m 3 ^ * / u.C 2 ^ u.t 4 ^ * u.M u.L 3 ^ * / 0 ElectricPolarizability s 4 ^ A 2 ^ * kg / u.t 4 ^ u.C 2 ^ * u.M / 0 ElectricPotential kg m 2 ^ * A s 3 ^ * / u.M u.L 2 ^ * u.C u.t 3 ^ * / 0 ElectricResistance kg m 2 ^ * s 3 ^ A 2 ^ * / u.M u.L 2 ^ * u.t 3 ^ u.C 2 ^ * / 0 ElectricResistivity kg m 3 ^ * s 3 ^ A 2 ^ * / u.M u.L 3 ^ * u.t 3 ^ u.C 2 ^ * / 0 Energy kg m 2 ^ * s 2 ^ / u.M u.L 2 ^ * u.t 2 ^ / 0 Exposure A s * kg / u.C u.t * u.M / 0 Force m kg * s 2 ^ / u.L u.M * u.t 2 ^ / 0 Frequency 1 s / 1 u.t / 0 HeatCapacity kg m 2 ^ * K s 2 ^ * / u.M u.L 2 ^ * u.T u.t 2 ^ * / 0 HeatInsulationCoefficient K s 3 ^ * kg / u.T u.t 3 ^ * u.M / 0 HeatTransferCoefficient kg K s 3 ^ * / u.M u.T u.t 3 ^ * / 0 Illuminance sr cd * m 2 ^ / u.S u.l * u.L 2 ^ / 0 Information bit u.B 1 Jerk m s 3 ^ / u.L u.t 3 ^ / 0 KinematicViscosity m 2 ^ s / u.L 2 ^ u.t / 0 Length m u.L 0 LinearFrequency 1 m s * / 1 u.L u.t * / 0 LinearMassDensity kg m / u.M u.L / 0 LuminousFlux sr cd * u.S u.l * 0 LuminousIntensity cd u.l 1 LuminousLuminance cd m 2 ^ / u.l u.L 2 ^ / 0 MagneticDipoleMoment A m 2 ^ * u.C u.L 2 ^ * 0 MagneticFlux kg m 2 ^ * A s 2 ^ * / u.M u.L 2 ^ * u.C u.t 2 ^ * / 0 MagneticFluxDensity kg A s 2 ^ * / u.M u.C u.t 2 ^ * / 0 MagneticInductance kg m 2 ^ * s 2 ^ A 2 ^ * / u.M u.L 2 ^ * u.t 2 ^ u.C 2 ^ * / 0 MagneticPermeability m kg * s 2 ^ A 2 ^ * / u.L u.M * u.t 2 ^ u.C 2 ^ * / 0 MagneticPolarizability m 2 ^ s 2 ^ * A 2 ^ * kg / u.L 2 ^ u.t 2 ^ * u.C 2 ^ * u.M / 0 MagnetizingForce A m / u.C u.L / 0 Mass kg u.M 1 MassDensity kg m 3 ^ / u.M u.L 3 ^ / 0 MolarElectricCharge s A * mol / u.t u.C * u.N / 0 MomentOfInertia kg m 2 ^ * u.M u.L 2 ^ * 0 Momentum m kg * s / u.L u.M * u.t / 0 PlaneAngle Rad u.A 1 Power kg m 2 ^ * s 3 ^ / u.M u.L 2 ^ * u.t 3 ^ / 0 Pressure kg m s 2 ^ * / u.M u.L u.t 2 ^ * / 0 SolidAngle sr u.S 1 SpecificHeatCapacity m 2 ^ K s 2 ^ * / u.L 2 ^ u.T u.t 2 ^ * / 0 Speed m s / u.L u.t / 0 SurfaceEnergyDensity kg s 2 ^ / u.M u.t 2 ^ / 0 SurfacePowerDensity kg s 3 ^ / u.M u.t 3 ^ / 0 ThermalConductivity m kg * K s 3 ^ * / u.L u.M * u.T u.t 3 ^ * / 0 ThermodynamicTemperature K u.T 1 Time s u.t 1 Volume m 3 ^ u.L 3 ^ 0 VolumeFlow m 3 ^ s / u.L 3 ^ u.t / 0 65 4 mat :

Examples

 Energy

Notice that can't find torque.

 ElectricPotential Dimensionless AbsorbedDose

This is a medical unit which have the dimensions of the specific mass enthalpy.

 AngularSpeed

Base Dimensions

Base units and dimensions are

 AmountOfSubstance mol u.N 1 ElectricCurrent A u.C 1 Information bit u.B 1 LuminousIntensity cd u.l 1 Mass kg u.M 1 PlaneAngle Rad u.A 1 SolidAngle sr u.S 1 ThermodynamicTemperature K u.T 1 Time s u.t 1 9 4 mat

For a derived unit:

 ElectricResistance 1 u.M u.L 2 ^ * u.t 3 ^ u.C 2 ^ * / *

Undefined units

'Rad isn't a defined unit:

 #

but

 1 Rad s / *

Because 'rad≡1, we have:

 Frequency

New dimensions

Let

then

 #

We can add this new dimension

 MyNewDimension 1 u.C u.t 2 ^ * u.M u.L 2 ^ * / *

ToDo: Energy convertions. Add Change of temp units.