Versuch einer Classification der willkürlichen Functionen reeller Argumente nach ihren Aenderungen in den kleinsten Intervallen

Weierstrass, K. (1875). Versuch einer Classification der willkürlichen Functionen reeller Argumente nach ihren Aenderungen in den kleinsten Intervallen. Journal für die reine und angewandte Mathematik, 21-37.

Type

Journal article

Intellectual base

Primary research

Year

1875

Pages

21-37

DOI

10.1515/crll.1875.79.21

DOI registrant

De Gruyter

Link

https://doi.org/10.1515/crll.1875.79.21

Cited from

mathematics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

Primes

• Continuity
  • The Weierstrass (1872) function

    This sourcePresents the continuous-everywhere / differentiable-nowhere function W(x) = Σ aⁿ cos(bⁿπx), decisively separating continuity from differentiability, and is the source of the modern epsilon-delta formulation of continuity that became textbook standard.

Verification

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