https://www.um.edu.mt/library/oar/handle/123456789/23637 2026-04-15T05:42:36Z 2026-04-15T05:42:36Z https://www.um.edu.mt/library/oar/handle/123456789/24500 2017-12-12T02:37:27Z 2003-01-01T00:00:00Z

Title: Random numbers Abstract: It is very difficult to define 'randomness'. However a simple definition of Random Numbers would be as follows: Random numbers can be defined as a sequence of numbers which do not follow a regular pattern. Thus one cannot possibly guess the value of the next number in the sequence, as this may be bigger, equal or smaller than its previous values or set of values. An example of a random number sequence is: 1, 7, 13, 24, 8, 3, 6, 50, 39, 86, 87, 2, ... We describe how random sequences may be generated, and tested for randomness.

2003-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24499 2017-12-12T02:37:22Z 2003-01-01T00:00:00Z

Title: On perfect numbers Abstract: A Perfect number is a number which is the sum of its proper divisors. A Mersenne Prime is a prime number of the form 2k - 1. We discuss a relation between these two types of numbers and deduce various properties of perfect numbers.

2003-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24498 2022-04-12T06:10:31Z 2003-01-01T00:00:00Z

Title: Interlacing and carbon balls Abstract: The Interlacing Theorem gives a relation among the eigenvalues of a n x n matrix A and those of a (n -1) x (n -1) principal submatrix. We deduce the Generalized Interlacing theorem which interlaces the eigenvalues of a k x k principal submatrix of A with those of A. We apply this theorem to the hypothetical Carbon ball C40 which has two dodecahedral 6 pentagon caps.

2003-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24497 2020-12-02T09:58:06Z 2003-01-01T00:00:00Z

Title: Foreword [The Collection, 7] Editors: Sciriha, Irene; Telenta, Tanya Abstract: Why do mathematical giants like Evariste Galois dedicate their lives to edge-breaking discoveries, very often unacknowledged by their contemporaries? The truth is that mathematics is both a science and an art. It possesses a magical power that disciplines the mind. The discovery of the laws of nature and the setting up of hypothetical ordered worlds that obey axioms allow us to share in the joy of creation. It is with great satisfaction that we see our students producing original work that enables them to experience the thrill of unlocking the mysteries, signs and wonders of mathematics.

2003-01-01T00:00:00Z