Investigate the graphs of Weierstrass-type functions (11.7) usi... | Filo
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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
The Weierstrass series is a famous mathematical construction that sh…
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The curious case of the Weierstrass function
The curious case of the Weierstrass function
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19K views · 336 reactions | In mathematics, the Weierstrass function...
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19K views · 336 reactions | In mathematics, the Weierstrass fun…
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The Weierstrass function is a famous example in mathematics of a function that is continuous everywhere but differentiable nowhere. Its graph looks extremely jagged and irregular, resembling a fractal pattern, even though it is built from smooth trigonometric terms. This surprising property challenged traditional ideas about smoothness and led to deeper developments in real analysis and the study of complex structures. 📌Support us - Like/Share/Follow👆❤️ ✅Follow @math.magazine 🔥 for more !!...
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The Weierstrass function is a famous example in mathematics o…
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