The harmonic mean of numbers (where, ...,) is the number defined by. (1). The harmonic mean of a list of numbers may be computed in the Wolfram Language using. [ list ]. The special cases of and are therefore given by. (2). (3). and so on. The harmonic means of the integers from 1 to for, 2, ...
There are several theories about the origins of the Sanders name (see page on History Of Saunders) We believe our Sanders family originated in Scotland. Many of the early Sanders then migrated to England and Ireland and eventually to America.
Other examples include Sir Edward Saunders, Chief-baron of the exchequer to Queen Elizabeth 1 in 1559, whilst Francis Sanders, (1648 - 1710), a Jesuit priest was confessor to the exiled King James 11 of England, at the palace of St. Germain in France. The Sanders of Sanders Place, Surrey, claim descent from Watkin de Sanderstead in pre Norman times.