https://www.um.edu.mt/library/oar/handle/123456789/36081 Fri, 10 Apr 2026 01:38:51 GMT 2026-04-10T01:38:51Z https://www.um.edu.mt/library/oar/handle/123456789/24492 Title: The cantor set Abstract: Consider the following sets, where C1 is the real interval [0, 1] without the middle 1/3 of the interval, and Ck is constructed by removing 1/3 of each real interval in the union of intervals in Ck - 1. Mon, 01 Jan 2001 00:00:00 GMT https://www.um.edu.mt/library/oar/handle/123456789/24492 2001-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24491 Title: Subgraphs Abstract: Let H be a graph and K be a subgraph of H. Let n(G) denote the number of vertices of a graph C and k(G) denote the number of components of G. Then n(K) - k(K) < n(H) - k(H). Mon, 01 Jan 2001 00:00:00 GMT https://www.um.edu.mt/library/oar/handle/123456789/24491 2001-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24490 Title: Converse of Wilson's theorem Abstract: Theorem 1 (Wilson's Theorem) If p is prime, then (p - 1)! = -1 mod p. Theorem 2 (Converse to Theorem 1) If (p - 1)! = -1 mod p, then p is prime. Mon, 01 Jan 2001 00:00:00 GMT https://www.um.edu.mt/library/oar/handle/123456789/24490 2001-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24488 Title: Boolean rings Abstract: A ring is a triple comprising a set R and two binary operations + and· satisfying the following properties (refer to Figure 1): 1. R is an Abelian group under + 2. R is closed and associative under . 3. . is distributive over + Mon, 01 Jan 2001 00:00:00 GMT https://www.um.edu.mt/library/oar/handle/123456789/24488 2001-01-01T00:00:00Z