Abstract: Image scrambling is an effective method for providing image security. This paper compares and discusses the effectiveness of some image scrambling algorithms based on recursive sequences ...

Sequences are ordered lists of objects that follow specific patterns or rules. Each number in the sequence is called a term. Sequences can be classified as arithmetic or geometric. Arithmetic ...

Learn about the origins of the Fibonacci sequence, its relationship with the golden ratio and common misconceptions about its significance in nature and architecture. When you purchase through links ...

Arithmetic sequences are a fundamental concept in mathematics that allows us to study ordered sets separated by a constant difference. They help us understand linear patterns in various real-world ...

Say you’re at a party with nine other people and everyone shakes everyone else’s hand exactly once. How many handshakes take place? This is the “handshake problem,” and it’s one of my favorites. As a ...

The paper represents a novel application of recursion theory to the long call vocalisations of orangutans to demonstrate repetitive, rhythmic sub-structuring. The authors use detailed acoustic ...

Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians. Simple, yes, but ...

ABSTRACT: In this paper, we investigate some qualitative behavior of the solutions of the difference equation where the coefficients a, b and ci are positive real numbers, and where the initial ...