On-Line Analytical Processing (OLAP) based on a dimensional view of data is being used increasingly in traditional business applications as well as in applications such as health care for the purpose of analyzing very large amounts of data. Pre-aggregation, the prior materialization of aggregate queries for later use, is an essential technique for ensuring adequate response time during data ana...

We present an analytical solution for the magnetic field of a homogeneously magnetized cylinder tile and by extension solutions full cylinders, rings, sectors ring segments. The derivation is done direct integration in surface charge picture. Results are closed-form expressions elliptic integrals. All special cases treated individually, which enables computation all possible position arguments ...