the Weierstrass function

GPTKB entity

Statements (42)
Predicate Object
gptkbp:instanceOf mathematical function
gptkbp:hasExhibition pathological function
gptkbp:hasFacilities true
gptkbp:hasNationality at any point
gptkbp:hasRelatedPatent mathematics
https://www.w3.org/2000/01/rdf-schema#label the Weierstrass function
gptkbp:isAccessibleBy Fourier series
series expansion
gptkbp:isActiveIn functional analysis
gptkbp:isAssociatedWith real analysis
counterexamples in calculus
the failure of differentiability
gptkbp:isATypeOf continuous function
mathematical curiosity
non-differentiable function
pathological example
gptkbp:isAvailableIn non-differentiable functions
gptkbp:isAvenueFor continuous but nowhere differentiable function
gptkbp:isCharacterizedBy oscillatory behavior
gptkbp:isCitedBy a specific series
gptkbp:isConsidered the study of functions
the context of continuity and differentiability
gptkbp:isDescribedAs real numbers
gptkbp:isExploredIn theoretical mathematics
advanced calculus
gptkbp:isIncorporatedIn the concept of continuity
its graph
gptkbp:isInFamilyWith true
gptkbp:isInvolvedIn true
gptkbp:isMarketedAs true
gptkbp:isNamedAfter gptkb:Karl_Weierstrass
gptkbp:isNear true
gptkbp:isNotableFor false
gptkbp:isRelatedTo fractal geometry
Baire_category_theorem
gptkbp:isRepresentedIn a continuous curve
gptkbp:isStudiedIn real analysis
gptkbp:isUsedBy the properties of continuous functions
gptkbp:isUsedIn analysis
gptkbp:keyFigures functions with pathological properties
gptkbp:keyFunction mathematical analysis
gptkbp:wasAffecting true