Karl Weierstrass

E20288

Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.

AI illustration

How this image was made

AI-generated illustration of Karl Weierstrass

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

Prompt

Generate an image of Karl Weierstrass (Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.)

All labels observed (4)

Label Occurrences
Karl Weierstrass canonical 45
Hermann Amandus Schwarz 1
Karl Theodor Wilhelm Weierstrass 1

How this entity was disambiguated

Statements (50)

Predicate Object
instanceOf German mathematician ⓘ
human ⓘ
mathematician ⓘ
awardReceived Copley Medal ⓘ
countryOfCitizenship Germany ⓘ
Kingdom of Prussia ⓘ
linked to: Prussia
dateOfBirth 1815-10-31 ⓘ
dateOfDeath 1897-02-19 ⓘ
educatedAt University of Bonn ⓘ
University of Münster ⓘ
employer Royal Polytechnic School in Berlin ⓘ
University of Berlin ⓘ
era 19th century ⓘ
familyName Weierstrass ⓘ
linked to: Karl Weierstrass
fieldOfWork calculus ⓘ
complex analysis ⓘ
elliptic functions ⓘ
mathematical analysis ⓘ
real analysis ⓘ
theory of functions ⓘ
fullName Karl Theodor Wilhelm Weierstrass ⓘ
linked to: Karl Weierstrass
givenName Karl ⓘ
hasStudent Georg Cantor ⓘ
Gösta Mittag-Leffler ⓘ
Lazarus Fuchs ⓘ
Sofya Kovalevskaya ⓘ
linked to: Sofia Kovalevskaya
influenced modern analysis ⓘ
theory of functions of a complex variable ⓘ
influencedBy Augustin-Louis Cauchy ⓘ
languageOfWorkOrName German ⓘ
memberOf Prussian Academy of Sciences ⓘ
name Karl Weierstrass ⓘ
nativeLanguage German ⓘ
notableFor Weierstrass M-test ⓘ
Weierstrass approximation theorem ⓘ
Weierstrass elliptic functions ⓘ
Weierstrass factorization theorem ⓘ
Weierstrass function ⓘ
Weierstrass preparation theorem ⓘ
Weierstrass substitution ⓘ
epsilon–delta definition of limit ⓘ
foundations of modern analysis ⓘ
rigorous formulation of calculus ⓘ
notableIdea arithmetization of analysis ⓘ
construction of continuous nowhere differentiable functions ⓘ
occupation university teacher ⓘ
placeOfBirth Ennigerloh ⓘ
Ostenfelde ⓘ
placeOfDeath Berlin ⓘ
sexOrGender male ⓘ

How these facts were elicited

Referenced by (48)

Full triples — surface form annotated when it differs from this entity's canonical label.

David Hilbert → influencedBy → Karl Weierstrass ⓘ
Karl Weierstrass → name → Karl Weierstrass ⓘ
Karl Weierstrass → fullName → Karl Theodor Wilhelm Weierstrass ⓘ
linked to: Karl Weierstrass
Karl Weierstrass → familyName → Weierstrass ⓘ
linked to: Karl Weierstrass
Georg Cantor → academicAdvisor → Karl Weierstrass ⓘ
Sofia Kovalevskaya → doctoralAdvisor → Karl Weierstrass ⓘ
Sofia Kovalevskaya → influencedBy → Karl Weierstrass ⓘ
Augustin-Louis Cauchy → influenced → Karl Weierstrass ⓘ
Ernst Zermelo → doctoralAdvisor → Hermann Amandus Schwarz ⓘ
linked to: Karl Weierstrass
Ernst Eduard Kummer → notableStudent → Karl Weierstrass ⓘ
Paul du Bois-Reymond → influencedBy → Karl Weierstrass ⓘ
Weierstrass function → namedAfter → Karl Weierstrass ⓘ
Weierstrass function → introducedBy → Karl Weierstrass ⓘ
Weierstrass M-test → namedAfter → Karl Weierstrass ⓘ
Weierstrass substitution → namedAfter → Karl Weierstrass ⓘ
Weierstrass elliptic functions → namedAfter → Karl Weierstrass ⓘ
Lazarus Fuchs → doctoralAdvisor → Karl Weierstrass ⓘ
Gösta Mittag-Leffler → doctoralAdvisor → Karl Weierstrass ⓘ
Gösta Mittag-Leffler → studiedUnder → Karl Weierstrass ⓘ
Gösta Mittag-Leffler → influencedBy → Karl Weierstrass ⓘ
Ostenfelde → birthplaceOf → Karl Weierstrass ⓘ
Ennigerloh → birthplaceOf → Karl Weierstrass ⓘ
Elwin Bruno Christoffel → doctoralAdvisor → Karl Weierstrass ⓘ
Elwin Bruno Christoffel → studentOf → Karl Weierstrass ⓘ
Dirichlet principle → criticizedBy → Karl Weierstrass ⓘ
Stone–Weierstrass theorem → namedAfter → Karl Weierstrass ⓘ
Gustav von Escherich → studiedUnder → Karl Weierstrass ⓘ
Gustav von Escherich → academicAdvisor → Karl Weierstrass ⓘ
Leo Königsberger → studentOf → Karl Weierstrass ⓘ
Leo Königsberger → doctoralAdvisor → Karl Weierstrass ⓘ
Julius Weingarten → studiedUnder → Karl Weierstrass ⓘ
Otto Hölder → academicAdvisor → Karl Weierstrass ⓘ
Bolzano–Weierstrass theorem → namedAfter → Karl Weierstrass ⓘ
Hermann Amandus Schwarz → academicAdvisor → Karl Weierstrass ⓘ
Hermann Amandus Schwarz → studentOf → Karl Weierstrass ⓘ
Hermann Amandus Schwarz → influencedBy → Karl Weierstrass ⓘ
Weierstrass form → namedAfter → Karl Weierstrass ⓘ
Weierstrass point → namedAfter → Karl Weierstrass ⓘ
subject linked to: Weierstrass points