Linear functions are fundamental building blocks in mathematics and play a key role in solving real-world problems where the rate of change remains constant. Linear functions arise in a wide range of ...

This section focuses on the key features and methods for working with linear graphs. It demonstrates how to sketch graphs from rules, derive rules from graphs, and calculate key features such as the ...

If we set β = f (1), then for any real number x, we have f (x) = β x and the graph of this function is the straight line in the plane passing through the origin with slope β.

B. D. BOYANOV, V. M. VESELINOV, A NOTE ON THE APPROXIMATION OF FUNCTIONS IN AN INFINITE INTERVAL BY LINEAR POSITIVE OPERATORS, Bulletin mathématique de la Société des Sciences Mathématiques de la ...

We present a conjecture concerning necessary and sufficient conditions for the existence of a common quadratic Lyapunov function (CQLF) for a switched linear system obtained by switching between two ...