OAR@UM Community:

The Collection IV

Mon, 01 Jan 2001 00:00:00 GMT

Title: The Collection IV Editors: Sciriha, Irene Abstract: Fourth issue of The Collection, a journal by the Department of Mathematics at the University of Malta.

The cantor set

Mon, 01 Jan 2001 00:00:00 GMT

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.

Subgraphs

Mon, 01 Jan 2001 00:00:00 GMT

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).

Converse of Wilson's theorem

Mon, 01 Jan 2001 00:00:00 GMT

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.