These latter appear to be dependent on the former, for whereas we may have a Quest romance without any insistence on the previous history of the Grail, that history is never found without some allusion to the hero who is destined to bring the quest to its successful termination.
The character of the Company's government was almost entirely dependent upon their abilities as statesmen.
The provincial schools, dependent upon so decrepit an alma mater, were suffered to decay.
Altona carries on an extensive maritime trade with Great Britain, France and America, but it has by no means succeeded in depriving Hamburg of its commercial superiority - indeed, so dependent is it upon its rival that most of its business is transacted on the Hamburg exchange, while the magnificent warehouses on the Altona river bank are to a large extent occupied by the goods of Hamburg merchants.
There forms of personal commendation did develop, certain forms of dependent land tenure came into use.
At this period the Danish inroads upon the coast of Lindsey had already begun, and in 873 Healfdene wintered at Torksey, while in 878 Lincoln and Stamford were included among the five Danish boroughs, and the organization of the districts dependent upon them probably resulted about this time in the grouping of Lindsey, Kesteven and Holland to form the shire of Lincoln.
The nature of the change of temperature with depth below 2500 fathoms is entirely dependent on the position of the sub-oceanic elevations, for the rises and ridges act as true submarine watersheds.
For the boarding schools, or convilli, there are only incomplete reports except f or the institutions directly dependent on the ministry of public instruction, which are comparatively few.
This last is sometimes done at the death of a rich man in the hope that his family will reward the compliment; sometimes it is done vicariously, as when one chief cuts off the little finger of his dependent in regret or in atonement for the death of another.
For example, in a one-dimensional system such as a string or a bar, we have one dependent variable, and two independent variables x and t.