Natural numbers - Use any properties of the natural numbers, N, to argue that is S = N x N and R is the relation on R defined by (x,y)R(u,v) means x + v = y + u, then R is equivalence relation on S
General solutions to recurrence relations. - I need to find the general solution for the following recurrence relation but in a form that doesn't contain complex numbers.
a_{n+2}+2a_{n+1}+5a_n = 0
Relations and Functions - Determine each of the following based on the relation {(-5, -3), (-2, 1), (2, 2), (-5, 8)}.
1. Is the relation {(-5, -3), (-2, 1), (2, 2), (-5, 8)} a function?
2. Identify the domain of the re ...