I will first introduce the idea of integer relations and discuss practical concerns for their computation by numeric techniques (i.e., using floating point arithmetic). To this end I will discuss the PSLQ and LLL algorithms (and will mention, in passing, some others). I will then extend the idea of integer relations into the relations consisting of algebraic integers. I will discuss, in particular, the case of algebraic integers from quadratic extension fields. As with the first part of the talk, I will discuss practical concerns for calculation by numeric techniques of these quadratic integer relations.