In our models, the principal term div ( | ∇ u m | p ( x ) − 2 ∇ u m ), in place of the usual term △ u m or div ( | ∇ u m | p − 2 ∇ u m ), represents nonhomogeneous diffusion that depends on the position x ∈ Ω and thus gives a better description of nonhomogeneous character of the process.
For this expression, after rescaling, we can derive the asymptotics with principal term (-kappa _2 h^{-4}) and with remainder estimate as good as (O(h^{-3})), which after scaling back becomes (O(N^{frac{4}{3}})) (which is an overkill).
Delegations from both Israel and Hamas engaged in the arms-lengths talks, setting out through intermediaries their principal terms for ending the military confrontation.
Begbies Traynor, which took control of Silverjet last month when it ceased operations after crucial financing fell through, said it had agreed to principal terms from Kingplace to acquire and restart the airline.
This property means that the principal terms of the local and global errors coincide.
Before getting started, however, it is important to briefly outline the methodology of this article, to delineate its scope and to define the principal terms used.
Here 'The Pump Guy' explains the principal terms of what you need to know to specify a pump into a system.
By the reciprocal formula R ( θ ; a, b ) = R ( 1 − θ ; b, a ), it is important to describe the formation of the remainder function as θ → 0 and θ → 1 / 2 with the principal terms 2 θ R ( 1 / 2 ; a, b ) and 2 ( 1 − θ ) R ( 1 / 2 ; a, b ).
From the representations of σ i , it easy to see that operator functions | ξ | β D β σ i contain similar terms as I k, namely, the functions | ξ | β D β σ i will be represented as combinations of principal terms ξ σ [ D ξ γ A + D ξ γ a α ] [ D ] | β |, ∑ | α | ≤ l | λ | 1 − | α | l ξ σ D ξ γ [ A + a α ] [ D ] | β |, (3.6).
The emails between Coliseum executive John Sandbrook and USC administrators, which cover the four months of talks on principal terms of the lease, feature none of the bargaining-table tensions that are typical of such negotiations.
The principal terms of the concord were that all members became allied to each other, and to Macedon, and that all members were guaranteed freedom from attack, freedom of navigation, and freedom from interference in internal affairs.
