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.
Family History and Genealogy Resources by Surname. Mann Surname Origin. (Origin German) Gentleman or master, the same as Herr. Man, in the Welsh, signifies freckled or spotted; also, a spot, a place. Source: An Etymological Dictionary of Family and Christian Names With an Essay on their Derivation and Import; Arthur, William, M.A.; New York, NY: Sheldon, Blake, Bleeker & CO., 1857.