Mathematicians have long relied on calculus to understand the world around us, but a groundbreaking discovery by Karl Weierstrass in 1872 shook the foundations of the subject. Weierstrass’ “monster function” revealed that continuity does not imply differentiability, forcing mathematicians to re-examine their understanding of calculus. This breakthrough has far-reaching implications for fields such as physics, finance, and decision-making.
Forecast for 6 months: Increased adoption of rigorous mathematical methods in fields such as finance and physics, leading to more accurate models and predictions.
Forecast for 1 year: Mathematicians will continue to explore the properties of Weierstrass’ function, leading to new insights into the nature of continuity and differentiability.
Forecast for 5 years: The use of Weierstrass’ function will become more widespread in fields such as machine learning and data analysis, enabling more accurate predictions and decision-making.
Forecast for 10 years: The discovery of Weierstrass’ function will be recognized as a major milestone in the history of mathematics, leading to a deeper understanding of the subject and its applications.
