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Definition. A metric space is a set X together with a function d (called a metric or distance function) which assigns a real number d (x, y) to every pair x, y X satisfying the properties (or axioms): 1  d (x, y) 0 and d (x, y) = 0 x = y, 2  d (x, y) = d (y, x), 3  d (x, y) + d (y, z) d (x, z).
Metrics are calculations performed against the data in the data warehouse. Metrics represent business measures and key performance indicators. For a brief overview of metrics, see About metrics. The easiest way to create a metric is to use a metric template. A metric template helps you create certain types of metrics. For steps, see Creating a metric using a template below.