QuantityVariable

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`QuantityVariable`

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QuantityVariable[var,"pq"]

represents a variable with the label var and the corresponding physical quantity "pq".

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QuantityVariable["pq"]

represents the unlabeled physical quantity "pq".

Details

Supported physical quantities include both physical and chemical quantities such as "Length", "ElectricCurrent", and "ChemicalPotential", as well as mathematical and financial quantities such as "Angle" and "Money".
Combinations of physical quantities are also supported, as well as "PhysicalQuantity" entities.
pq can also be specified using a list of ordered dimension pairs (such as returned by QuantityVariableDimensions), indicating the magnitude of the pq in that dimension.
Information of a QuantityVariable may include the following properties:

	"Identifier"	identifier associated with quantity variable
	"PhysicalQuantity"	physical quantity
	"UnitDimensions"	physical dimensions
	"CanonicalUnit"	canonical units

Examples

open allclose all

Basic Examples (2)Summary of the most common use cases

A QuantityVariable represents a variable associated with a particular physical quantity:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-mqc3am

Out[1]=1

QuantityVariable can be used to specify values in FormulaData:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-ejf04w

Out[1]=1

Scope (2)Survey of the scope of standard use cases

QuantityVariable objects can be constructed using free-form input ():

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-37phan

Out[1]=1

Create a QuantityVariable using a combination of physical quantities:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-x3kngl

Out[1]=1

Use a list of unit dimensions to set a physical quantity instead:

In[2]:=2

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https://wolfram.com/xid/0pva8idlee-7n6m6c

Out[2]=2

Properties & Relations (8)Properties of the function, and connections to other functions

QuantityVariableIdentifier can be used to extract the symbol from a QuantityVariable:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-83t1sq

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0pva8idlee-sb35dr

Out[2]=2

The physical quantity can be recovered with QuantityVariablePhysicalQuantity:

In[3]:=3

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https://wolfram.com/xid/0pva8idlee-0eofsl

Out[3]=3

FormulaData returns QuantityVariable objects:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-dzr10x

Out[1]=1

The physical quantities used within QuantityVariable can be used to search for formulas using FormulaLookup:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-srijyl

Out[1]=1

Any symbol can be used with any physical quantity without restriction:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-whitzc

Out[1]=1

QuantityVariable can be used in symbolic results:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-5npeqe

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0pva8idlee-t8sa5p

Use QuantityVariable in functions such as DSolve:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-g0w38k

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0pva8idlee-00qxl4

Out[2]=2

"PhysicalQuantity" entities can be used as arguments for QuantityVariable:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-lukqm7

Out[1]=1

Use the ResourceFunction "PhysicalQuantityLookup" to find physical quantities and quantity variables from units and quantities:

In[1]:=1

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https://wolfram.com/xid/0pva8idlee-0vlnt4

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0pva8idlee-e5wdfr

Out[2]=2

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