Template:Dimanalysis

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Usage

This template is intended to provide a uniform notation and format for expressing dimensions of physical quantities (spacing, ordering of symbols etc.) throughout articles.

The International System of Quantities defines a convention for formatting of the dimensions of quantities.^[1] The default format (without the |bold= parameter or further applied formatting) adheres to this.

Parameters

The parameters are the base quantities, coded according to:

Parameter	Base quantity	Symbol
`\|time=`	time	T
`\|length=`	length	L
`\|mass=`	mass	M
`\|current=`	electric current	I
`\|temp=`	thermodynamic temperature	Θ
`\|amount=`	amount of substance	N
`\|lum=`	luminous intensity	J

and the value of each parameter is the exponent of the dimension of the base quantity:

blank defaults to exponent 0 (so irrelevant dimensions do not need to be typed)
exponent 0 means the base quantity dimension will not show up (as in usual notation)
exponent 1 does not show the exponent (as is usual for exponential notation)
exponent not 0 or 1 shows the base quantity dimension to that exponent, including negatives (use "−" for minus, not a hyphen "-")

An optional parameter is:

|bold=: set this to yes for bold dimension symbols; the default is no bold. The ISQ and SI give the convention of a roman sans-serif type, so bold would not conform: use it sparingly.

Examples

[[Momentum]] of a massive object: {{dimanalysis|time=−1|length=1|mass=1|lum=0}}

Momentum of a massive object: T⁻¹LM

[[Magnetization]] of a material: {{dimanalysis|bold=yes|length=−1|mass=1|current=1}}

Magnetization of a material: L⁻¹MI

[[Concentration]] of a chemical: {{dimanalysis|length=−3|mass=1|amount=1}}

Concentration of a chemical: L⁻³MN

[[Empty product]]: {{dimanalysis|time=0|length=0|mass=}}

Empty product: 1

[[Random]]: {{dimanalysis|bold=yes|time=90|length=10|mass=|temp=1|amount=−3|current=3/2|lum=6}}

Random: T⁹⁰L¹⁰I^3/2ΘN⁻³J⁶

References

^ JCGM 200:2012 International vocabulary of metrology – Basic and general concepts and associated terms (VIM): "The conventional symbolic representation of the dimension of a base quantity is a single upper case letter in roman (upright) sans-serif type. The conventional symbolic representation of the dimension of a derived quantity is the product of powers of the dimensions of the base quantities according to the definition of the derived quantity."

The above documentation is transcluded from Template:Dimanalysis/doc.
Editors can experiment in this template's sandbox and testcases pages.
Add categories to the /doc subpage. Subpages of this template.

[1] JCGM 200:2012 International vocabulary of metrology – Basic and general concepts and associated terms (VIM): "The conventional symbolic representation of the dimension of a base quantity is a single upper case letter in roman (upright) sans-serif type. The conventional symbolic representation of the dimension of a derived quantity is the product of powers of the dimensions of the base quantities according to the definition of the derived quantity."

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