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Standard part function

In nonstandard 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 x {\displaystyle x} , the unique real x 0 {\displaystyle x_{0}} infinitely close to it, i.e. x − x…

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Overview

Definition

Not internal

Applications

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Map overview Semantic statistics

Standard part function

Nodes22
Edges21
Triples16
Avg. degree1.91
Density0.090909
Components1

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Standard part function

Top relations

related to Derivative · 5
Standard part function → Alternatively, Delta, If, One, The
related to Not internal · 5
Standard part function → Alternatively, Namely, Perhaps, The, There
related to Definition · 4
Standard part function → In, Nonstandard, The, Thus
is a · 1
Standard part function → function from the limited
has application · 1
Standard part function → All

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Important terminology

standard part hyperreal function displaystyle real finite infinitesimal nonstandard analysis internal derivative infinite st defined calculus see integral mathbb every

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Standard part functionis afunction from the limited0.90text
Standard part functionhas applicationAll0.60section
Standard part functionrelated to DefinitionNonstandard0.60section
Standard part functionrelated to DefinitionIn0.60section
Standard part functionrelated to DefinitionThe0.60section
Standard part functionrelated to DefinitionThus0.60section
Standard part functionrelated to DerivativeThe0.60section
Standard part functionrelated to DerivativeIf0.60section
Standard part functionrelated to DerivativeAlternatively0.60section
Standard part functionrelated to DerivativeDelta0.60section
Standard part functionrelated to DerivativeOne0.60section
Standard part functionrelated to Not internalThe0.60section

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