WOLFRAM

Wolfram Language & System Documentation Center

FormulaLookup["query"]

gives a list of the full names of formulas whose names are consistent with "query".

FormulaLookup["query",n]

returns at most n results.

FormulaLookup["class"]

returns the names of all formulas within that class.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Options  
RequiredPhysicalQuantities  
ExcludedPhysicalQuantities  
Applications  
Possible Issues  
Interactive Examples  
See Also
Related Guides
History
Cite this Page

FormulaLookup

FormulaLookup["query"]

gives a list of the full names of formulas whose names are consistent with "query".

FormulaLookup["query",n]

returns at most n results.

FormulaLookup["class"]

returns the names of all formulas within that class.

Details and Options

  • FormulaLookup[All] gives a full list of formula names.
  • FormulaLookup["Classes"] returns a full list of formula classes.
  • The following options can be given:
  • RequiredPhysicalQuantities {}which physical quantities to require
    ExcludedPhysicalQuantities {}which physical quantities to exclude
  • 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".

Examples

open all close all

Basic Examples  (2)

Discover the full names of formulas for use in FormulaData:

Wolfram Language code: FormulaLookup["ohm's law"]
Wolfram Language code: FormulaData["OhmsLaw"]

Find all formulas for a query:

Wolfram Language code: FormulaLookup["pendulum"]

Scope  (3)

Limit the number of formulas displayed:

Wolfram Language code: FormulaLookup["moment of inertia formula", 4]

Find all available athletics formulas:

Wolfram Language code: FormulaLookup["Athletics"]

Find all formula classes:

Wolfram Language code: FormulaLookup["Classes"]

Options  (9)

RequiredPhysicalQuantities  (5)

Limit the results by specifying a list of required physical quantities:

Wolfram Language code: FormulaLookup["moment of inertia formula", RequiredPhysicalQuantities -> {"Radius"}]

Several necessary physical quantities can be specified:

Wolfram Language code: FormulaLookup["moment of inertia formula", RequiredPhysicalQuantities -> {"Radius", "Height"}]

Include both required physical quantities and physical quantities to be excluded:

Wolfram Language code: FormulaLookup["moment of inertia formula", RequiredPhysicalQuantities -> {"Radius"}, ExcludedPhysicalQuantities -> {"Height"}]

Examine all formulas with specified physical quantities:

Wolfram Language code: FormulaLookup[All, RequiredPhysicalQuantities -> {"Distance", "Mass"}]

Find physics formulas using speed, distance and height:

Wolfram Language code: FormulaLookup["Physics", RequiredPhysicalQuantities -> {"Speed", "Distance", "Height"}]

ExcludedPhysicalQuantities  (4)

Limit the results by specifying a list of excluded physical quantities:

Wolfram Language code: FormulaLookup["moment of inertia formula", ExcludedPhysicalQuantities -> {"Height"}]

Several necessary physical quantities can be specified:

Wolfram Language code: FormulaLookup["moment of inertia formula", ExcludedPhysicalQuantities -> {"Radius", "Height"}]

Include both required physical quantities and physical quantities to be excluded:

Wolfram Language code: FormulaLookup["moment of inertia formula", RequiredPhysicalQuantities -> {"Radius"}, ExcludedPhysicalQuantities -> {"Height"}]

Find all formulas with specified physical quantities but not including other physical quantities:

Wolfram Language code: FormulaLookup[All, 10, RequiredPhysicalQuantities -> {"Distance", "Mass"}, ExcludedPhysicalQuantities -> {"SlopeAngle", "Work", "Length"}]

Applications  (1)

Find all formulas for the moment of inertia:

Wolfram Language code: formulas = FormulaLookup["moment of inertia", 20]
Wolfram Language code: Grid[{#, FormulaData[#]}& /@ formulas, Frame -> All]

Possible Issues  (1)

Many formulas have multiple forms:

Wolfram Language code: FormulaLookup["planck's law"]
Wolfram Language code: Column[{FormulaData[{"PlanckRadiationLaw", "Wavelength"}], FormulaData[{"PlanckRadiationLaw", "Frequency"}]}]

Interactive Examples  (1)

Dynamically examine formulas with specific physical quantities:

Wolfram Language code: pqs = {"Time", "Length", "Mass", "Frequency", "Speed", "Energy", "Power"}; Manipulate[ formulas = FormulaLookup[All, 1000, RequiredPhysicalQuantities -> {pq1, pq2, pq3}]; If[formulas === {}, Style["no formulas found", Gray], Pane[Column[ Column[{Style[#, Bold], Column[Flatten[{FormulaData[#, "Formula"]}]], FormulaData[#, "QuantityVariableTable"]}] & /@ formulas, Dividers -> Center], {Automatic, 500}, Scrollbars -> True]], {{pq1, "Time", "phys. quant. 1"}, pqs, SetterBar}, {{pq2, "Length", "phys. quant. 2"}, pqs, SetterBar}, {{pq3, "Speed", "phys. quant. 3"}, pqs, SetterBar}, SaveDefinitions -> True]
Wolfram Research (2014), FormulaLookup, Wolfram Language function, https://reference.wolfram.com/language/ref/FormulaLookup.html.

Text

Wolfram Research (2014), FormulaLookup, Wolfram Language function, https://reference.wolfram.com/language/ref/FormulaLookup.html.

CMS

Wolfram Language. 2014. "FormulaLookup." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FormulaLookup.html.

APA

Wolfram Language. (2014). FormulaLookup. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FormulaLookup.html

BibTeX

@misc{reference.wolfram_2026_formulalookup, author="Wolfram Research", title="{FormulaLookup}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/FormulaLookup.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_formulalookup, organization={Wolfram Research}, title={FormulaLookup}, year={2014}, url={https://reference.wolfram.com/language/ref/FormulaLookup.html}, note=[Accessed: 13-June-2026]}