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.

We present old and new results about the size function of a set providing simple and complete proofs using basic tools of general topology. For instance, the decomposition of the size function is ...

Maths 12th Continuity and Differentiability MCQs: The Central Board of Secondary Education (CBSE) holds the term-end board exams for class 12, which is considered among the top and hardest exams in ...

One confusing question over a long period of time is how transfer the discrete function transfers into continuous function. Recently the issue has been resolved but some details of the transformation ...