"Relations and Functions" stand out as crucial topics within algebra. These terms, though related, hold distinct mathematical meanings. It's common to feel uncertain about their disparities. To ...

CBSE Class 12 Mathematics Chapter 1 Relations and Functions Revision Notes: With the 2024 board exams around the corner, the time to put down the books and begin revising the topics has arrived.

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c\) is a smooth curve with one turning point. The turning ...

In a function such as sine or cosine, we could also have a translation of the form: \(y = \sin (x - a)^\circ\) where \(a\) is called the phase angle. This is when the graph of the function has been ...

The exact formula for the Hausdorff dimension of the graph of a continuous self-affine function is obtained. The Hausdorff dimension of some class of Borel probability measures is computed. The ...

This is a preview. Log in through your library . Abstract A class of global Lyapunov functions is revisited and used to resolve a long-standing open problem on the uniqueness and global stability of ...