Sentence examples for certain classes of the from inspiring English sources

Its eventual adoption was largely due to increased literacy and, at the cultural level, to the spread of individualistic norms of privacy and anonymity to certain classes of the population, notably peasants and workers.

Under the Roman Empire, certain classes of the population owed personal services to the state or to private proprietors for example, labour in lieu of taxes for the upkeep of roads, bridges, and dikes; unpaid labour by coloni (tenant farmers) and freedmen on the estates of landed proprietors; and labour requisitioned for the maintenance of the postal systems of various regions.

It is appropriate to characterize certain classes of the matrix mappings.

The problem of designing efficient parallel algorithms for summing and prefix summing for certain classes of the LogP model is studied.

And certain of the events, certain classes of the events we want to treat, as Dave says, like a river where you don't really care if you miss something, you know.

And certain of the events, certain classes of the events we want to treat, as Dave [Winer] says, like a river where you don't really care if you miss something.

Several authors, have used common fixed point techniques, to obtain the existence and uniqueness of common solutions for certain class of the functional equations arise in dynamic programming [37, 47, 73, 82, 141].

As our fractured planet stumbles toward the end of the second decade of its new millennium it's become de rigueur among a certain class of the super rich to create contingency plans for possible doomsday scenarios that will bring about the end of the world.

The purpose of this paper is to present a certain class of the explicit particular solutions of the associated Cauchy-Euler fractional partial differential equation of arbitrary real or complex orders and their applications as follows: where u = u ( x, t ) ; A, B, C, M, N, α and β are arbitrary constants.

For certain classes of functions, the Caputo fractional derivatives are the inverse operators of the Riemann-Liouville fractional integrals.

In particular, it is now possible for humans to control the navigation of certain classes of robots via the Internet.