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- Quantity_calculus abstract "Quantity calculus is the formal method for describing the mathematical relations between abstract physical quantities. (Here the term calculus should be understood in its broader sense of \"a system of computation,\" rather than in the sense of differential calculus and integral calculus.) Its roots can be traced to Fourier's concept of dimensional analysis (1822). The basic axiom of quantity calculus is Maxwell's description of a physical quantity as the product of a \"numerical value\" and a \"reference quantity\" (i.e. a \"unit quantity\" or a \"unit of measurement\"). De Boer summarized the multiplication, division, addition, association and commutation rules of quantity calculus and proposed that a full axiomatization has yet to be completed.Measurements are expressed as products of a numeric value with a unit symbol, e.g. \"12.7 m\". Unlike algebra, the unit symbol represents a measurable quantity such as a meter, not an algebraic variable.A careful distinction needs to be made between abstract quantities and measurable quantities. The multiplication and division rules of quantity calculus are applied to SI base units (which are measurable quantities) to define SI derived units, including dimensionless derived units, such as the radian (rad) and steradian (sr) which are useful for clarity, although they are both algebraically equal to 1. Thus there is some disagreement about whether it is meaningful to multiply or divide units. Emerson suggests that if the units of a quantity are algebraically simplified, they then are no longer units of that quantity. Johansson proposes that there are logical flaws in the application of quantity calculus, and that the so-called dimensionless quantities should be understood as \"unitless quantities\".How to use quantity calculus for unit conversion and keeping tack of units in algebraic manipulations is explained in the handbook on Quantities, Units and Symbols in Physical Chemistry.".
- Quantity_calculus wikiPageID "21606306".
- Quantity_calculus wikiPageLength "3943".
- Quantity_calculus wikiPageOutDegree "22".
- Quantity_calculus wikiPageRevisionID "661134663".
- Quantity_calculus wikiPageWikiLink Abstract_quantity.
- Quantity_calculus wikiPageWikiLink Axiom.
- Quantity_calculus wikiPageWikiLink Axiomatic_system.
- Quantity_calculus wikiPageWikiLink Category:Physical_quantities.
- Quantity_calculus wikiPageWikiLink Differential_calculus.
- Quantity_calculus wikiPageWikiLink Dimensional_analysis.
- Quantity_calculus wikiPageWikiLink Dimensionless_quantity.
- Quantity_calculus wikiPageWikiLink Integral.
- Quantity_calculus wikiPageWikiLink International_Organization_for_Standardization.
- Quantity_calculus wikiPageWikiLink James_Clerk_Maxwell.
- Quantity_calculus wikiPageWikiLink Joseph_Fourier.
- Quantity_calculus wikiPageWikiLink Measured_quantity.
- Quantity_calculus wikiPageWikiLink Physical_quantity.
- Quantity_calculus wikiPageWikiLink Product_(mathematics).
- Quantity_calculus wikiPageWikiLink Quantities,_Units_and_Symbols_in_Physical_Chemistry.
- Quantity_calculus wikiPageWikiLink Radian.
- Quantity_calculus wikiPageWikiLink SI_base_unit.
- Quantity_calculus wikiPageWikiLink SI_derived_unit.
- Quantity_calculus wikiPageWikiLink Steradian.
- Quantity_calculus wikiPageWikiLink Units_of_measurement.
- Quantity_calculus wikiPageWikiLink Variable_(mathematics).
- Quantity_calculus wikiPageWikiLinkText "Quantity calculus".
- Quantity_calculus wikiPageWikiLinkText "quantity calculus".
- Quantity_calculus wikiPageWikiLinkText "quantity systems".
- Quantity_calculus wikiPageUsesTemplate Template:GreenBookRef.
- Quantity_calculus wikiPageUsesTemplate Template:Reflist.
- Quantity_calculus wikiPageUsesTemplate Template:SIBrochure.
- Quantity_calculus subject Category:Physical_quantities.
- Quantity_calculus hypernym Method.
- Quantity_calculus type Software.
- Quantity_calculus type Quantity.
- Quantity_calculus comment "Quantity calculus is the formal method for describing the mathematical relations between abstract physical quantities. (Here the term calculus should be understood in its broader sense of \"a system of computation,\" rather than in the sense of differential calculus and integral calculus.) Its roots can be traced to Fourier's concept of dimensional analysis (1822).".
- Quantity_calculus label "Quantity calculus".
- Quantity_calculus sameAs Q7268944.
- Quantity_calculus sameAs Càlcul_de_quantitat.
- Quantity_calculus sameAs Kvanta_kalkulo.
- Quantity_calculus sameAs Quantity_calculus.
- Quantity_calculus sameAs m.05msz80.
- Quantity_calculus sameAs Q7268944.
- Quantity_calculus wasDerivedFrom Quantity_calculus?oldid=661134663.
- Quantity_calculus isPrimaryTopicOf Quantity_calculus.