Karl Weierstrass Biography | Pantheon
Karl Weierstrass Biography | Pantheon
656.1K viewsNov 21, 2019
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Teorema de Weierstrass
Teorema de Weierstrass
May 14, 2019
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La fonction de Weierstrass est un monstre mathématique : continue partout, dérivable nulle part. Cette fonction a été trouvée en 1872 par le mathématicien prussien Karl Weierstrass. Formellement, il s’agit d’une somme infinie de cosinus. Ainsi que vous le voyez sur l’animation de Quanta Magazine, la fonction est toujours continue, mais il y a une infinité dense de coins. Ces coins anguleux sont les endroits où la fonction n’est pas dérivable. Conséquence : la fonction de Weierstrass n’est dériva
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La fonction de Weierstrass est un monstre mathématique : continue …
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FacebookProfesseur Fabrizio Bucella
The Weierstrass series is a famous mathematical construction that shows how surprising and counterintuitive functions can be. It was introduced by Karl Weierstrass in the 19th century as an example of a function that is continuous everywhere but differentiable nowhere. This series is built by adding together a carefully chosen infinite sum of cosine waves with shrinking amplitudes but increasing frequencies. The result is a jagged curve that never smooths out, no matter how much you zoom in. Thi
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