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Title: Relative Error -- from Wolfram MathWorld

Open Graph Title: Relative Error -- from Wolfram MathWorld

X Title: Relative Error -- from Wolfram MathWorld

Description: Let the true value of a quantity be x and the measured or inferred value x_0. Then the relative error is defined by deltax=(Deltax)/x=(x_0-x)/x=(x_0)/x-1, where Deltax is the absolute error. The relative error of the quotient or product of a number of quantities is less than or equal to the sum of their relative errors. The percentage error is 100% times the relative error.

Open Graph Description: Let the true value of a quantity be x and the measured or inferred value x_0. Then the relative error is defined by deltax=(Deltax)/x=(x_0-x)/x=(x_0)/x-1, where Deltax is the absolute error. The relative error of the quotient or product of a number of quantities is less than or equal to the sum of their relative errors. The percentage error is 100% times the relative error.

X Description: Let the true value of a quantity be x and the measured or inferred value x_0. Then the relative error is defined by deltax=(Deltax)/x=(x_0-x)/x=(x_0)/x-1, where Deltax is the absolute error. The relative error of the quotient or product of a number of quantities is less than or equal to the sum of their relative errors. The percentage error is 100% times the relative error.

Opengraph URL: https://mathworld.wolfram.com/RelativeError.html

X: @WolframResearch

direct link

Domain: mathworld.wolfram.com

DC.TitleRelative Error
DC.CreatorWeisstein, Eric W.
DC.DescriptionLet the true value of a quantity be x and the measured or inferred value x_0. Then the relative error is defined by deltax=(Deltax)/x=(x_0-x)/x=(x_0)/x-1, where Deltax is the absolute error. The relative error of the quotient or product of a number of quantities is less than or equal to the sum of their relative errors. The percentage error is 100% times the relative error.
DC.Subject65G
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/RelativeError.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
DC.Relation.IsPartOfhttps://mathworld.wolfram.com/
DC.TypeText
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og:typewebsite
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absolute errorhttps://mathworld.wolfram.com/AbsoluteError.html
quotienthttps://mathworld.wolfram.com/Quotient.html
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percentage errorhttps://mathworld.wolfram.com/PercentageError.html
Absolute Errorhttps://mathworld.wolfram.com/AbsoluteError.html
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((3+4i)/5)^10https://www.wolframalpha.com/input/?i=%28%283%2B4i%29%2F5%29%5E10
g(0)=1, g(n+1)=n^2+g(n)https://www.wolframalpha.com/input/?i=g%280%29%3D1%2C+g%28n%2B1%29%3Dn%5E2%2Bg%28n%29
int e^(-t^2) dt, t=-infinity to infinityhttp://www.wolframalpha.com/input/?i=int+e%5E%28-t%5E2%29+dt%2C+t%3D-infinity+to+infinity
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.http://www.amazon.com/exec/obidos/ASIN/0486612724/ref=nosim/ericstreasuretro
Relative Errorhttps://www.wolframalpha.com/input/?i=relative+error
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