Teaching students to identify graphs of continuous functions is an important concept in mathematics. Understanding the continuity of a function can help students make predictions about the behavior of ...

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 ...

The density topology on the real line consists of all measurable sets whose all points are their points of Lebesgue density one. A real-valued function of a real variable that is continuous with ...

1 Department of Mathematics, Binzhou University, Shandong, China. 2 Department of Mathematics, Neijiang Normal University, Sichuan, China. of functions [1] - [7] , computing the n-th iterate of ...

Abstract: Brouwer's continuity principle states that all functions from infinite sequences of naturals to naturals are continuous, that is, for every sequence the result depends only on a finite ...

1 Department of Mathematics, College of Computer Science and Mathematics, Mosul University, Mosul, Iraq. 2 Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, ...

Abstract: Graph algorithms are widely used for decision making and knowledge discovery. To ensure their effectiveness, it is essential that their output remains stable even when subjected to small ...