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 combine a "global" version of the classical inverse function theorem with Schauder's fixed point theorem to investigate the existence and continuity properties of a function $(F, x) \rightarrow ...

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 ...

CBSE Class 12 Maths Mind Map: The new school session is underway, and students’ preparations are in full swing. The CBSE Class 12 board exams are often regarded among the most difficult and important ...

Let X be a one-dimensional strong Markov process with continuous sample paths. Using Volterra-Stieltjes integral equation techniques we investigate Hölder continuity and differentiability of first ...

A strong foundation in mathematics is essential for sharpening the mind, developing a scientific temperament, and building problem-solving skills that benefit individuals in every sphere of life. From ...