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Sign function

In mathematics, the sign function or signum function (from signum, Latin for "sign") is a function that has the value −1, +1 or 0 according to whether the sign of a given real number is positive or negative, or the given number is itself zero. In mathematical notation the sign function is often represented as sgn ⁡ x {\displaystyle \operatorname {sgn} x}…

Properties in mathematical analysis, Generalizations & Some algebraic identities

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Properties in mathematical analysis

ContinuityMathematical analysisSequenceLimitsCounterexample
26 related topics

Generalizations

Complex numbersPointUnit circleComplex planeComplex argument function
11 related topics

Some algebraic identities

Iverson bracketFloorAccepted to be equal to 1
3 related topics

Definition

PiecewiseLaw of trichotomy
2 related topics

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Overview

Definition

Basic properties

Some algebraic identities

Properties in mathematical analysis

Generalizations

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Map overview Semantic statistics

Sign function

Nodes56
Edges55
Triples12
Avg. degree1.96
Density0.035714
Components1

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Sign function

Top relations

related to Discontinuity at zero · 7
Sign function → Although, Either, In, Instead, The, There, These
related to Smooth approximations and limits · 5
Sign function → Analytic, Here, See Heaviside, The, This

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Important terminology

displaystyle sgn function operatorname signum value zero derivative sign text frac number absolute point neq real equal textstyle constant integration

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sign functionrelated to Discontinuity at zeroAlthough0.60section
Sign functionrelated to Discontinuity at zeroInstead0.60section
Sign functionrelated to Discontinuity at zeroThere0.60section
Sign functionrelated to Discontinuity at zeroEither0.60section
Sign functionrelated to Discontinuity at zeroThese0.60section
Sign functionrelated to Discontinuity at zeroIn0.60section
Sign functionrelated to Discontinuity at zeroThe0.60section
Sign functionrelated to Smooth approximations and limitsThe0.60section
Sign functionrelated to Smooth approximations and limitsHere0.60section
Sign functionrelated to Smooth approximations and limitsThis0.60section
Sign functionrelated to Smooth approximations and limitsSee Heaviside0.60section
Sign functionrelated to Smooth approximations and limitsAnalytic0.60section

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