In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.
It is shown that on every infinite-dimensional separable normed space there exist continuous real-valued functions that are nowhere locally uniformly continuous. An ...
CBSE Class 12 Mathematics Chapter 5 Continuity and Differentiability Revision Notes: With the 2024 board exams around the corner, the time to put down the books and begin revising the concepts has ...
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