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- Standard_part_function abstract "In non-standard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers. Briefly, the standard part function "rounds off" a finite hyperreal to the nearest real. It associates to every such hyperreal , the unique real infinitely close to it, i.e. is infinitesimal. As such, it is a mathematical implementation of the historical concept of adequality introduced by Pierre de Fermat, as well as Leibniz's Transcendental law of homogeneity.It can also be thought of as a mathematical implementation of Leibniz's Transcendental Law of Homogeneity. The standard part function was first defined by Abraham Robinson who used the notation for the standard part of a hyperreal (see Robinson 1974). This concept plays a key role in defining the concepts of the calculus, such as the derivative and the integral, in non-standard analysis. The latter theory is a rigorous formalisation of calculations with infinitesimals. The standard part of x is sometimes referred to as its shadow.".
- Standard_part_function thumbnail Standard_part_function_with_two_continua.svg?width=300.
- Standard_part_function wikiPageExternalLink calc.html.).
- Standard_part_function wikiPageID "19145800".
- Standard_part_function wikiPageRevisionID "594062164".
- Standard_part_function hasPhotoCollection Standard_part_function.
- Standard_part_function subject Category:Calculus.
- Standard_part_function subject Category:Non-standard_analysis.
- Standard_part_function subject Category:Real_closed_field.
- Standard_part_function comment "In non-standard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers. Briefly, the standard part function "rounds off" a finite hyperreal to the nearest real. It associates to every such hyperreal , the unique real infinitely close to it, i.e. is infinitesimal.".
- Standard_part_function label "Standard part function".
- Standard_part_function label "Стандартная часть числа".
- Standard_part_function sameAs 표준부분함수.
- Standard_part_function sameAs m.04lj8g9.
- Standard_part_function sameAs Q4439341.
- Standard_part_function sameAs Q4439341.
- Standard_part_function wasDerivedFrom Standard_part_function?oldid=594062164.
- Standard_part_function depiction Standard_part_function_with_two_continua.svg.
- Standard_part_function isPrimaryTopicOf Standard_part_function.
