Function Repository Resource:

CanonicalDimensionalProduct

Source Notebook

Express the canonical dimensions for a quantity as a formatted product of powers

Contributed by: Peter Burbery

ResourceFunction["CanonicalDimensionalProduct"][q]

writes the canonical dimensional product for q.

Details

The input can be a Quantity or an Entity that can be interpreted as a Quantity.
An entity can be a "PhysicalQuantity" or "PhysicalConstant".
The following symbols are used:
SymbolDimension
TTime
LLength
MMass
IElectric Current
ΘThermodynamic Temperature
NAmount of Substance
JLuminous Intensity
ResourceFunction["CanonicalDimensionalProduct"] also uses the following symbols:
SymbolDimension
Aplanar angle
Finformation
Cmoney
Ppersons, people
Φsolid angle
Dtemperature difference
Hphoton

Examples

Basic Examples

Write the canonical dimensional product for 5 webers:

In[1]:=
ResourceFunction["CanonicalDimensionalProduct"][Quantity[5, "Webers"]]
Out[1]=

Write the canonical dimensional product for 0.5 F of electric capacitance:

In[2]:=
ResourceFunction["CanonicalDimensionalProduct"][
 Quantity[0.5, "Farads"]]
Out[2]=

Write the canonical dimensional product for the Euler-Heisenberg Lagrangian factor of quantum electrodynamics:

In[3]:=
ResourceFunction["CanonicalDimensionalProduct"][
 Entity["PhysicalQuantity", "QEDEulerHeisenbergLagrangianFactor"]]
Out[3]=

Write the canonical dimensional product for the quantum conductance physical constant:

In[4]:=
ResourceFunction["CanonicalDimensionalProduct"][
 Entity["PhysicalConstant", "ConductanceQuantum"]]
Out[4]=

Publisher

Peter Burbery

Version History

  • 1.0.0 – 28 November 2022

License Information