Since the approach does not make use of a particular basis or a subset spanning the spline spaces, we analyze the smoothness properties of the trivariate splines.
We enumerate a collection of 1, 2, 3, and 4-arity gates/cogates that represent constraints, and define a class of constraints that is possible under the assumption of a "bridge" between two particular basis changes.
Bresson and other directors of furious precision, such as Alfred Hitchcock and Carl Theodor Dreyer, built their stringent cinematic machinery on the basis of particular experience — including embittered religion, stern repression, cruel morality, and equally cruel immorality.
It is understood that the ombudsman will tell the court that the last report will be quashed "on the basis of particular matters which I have concluded … were not adequately pursued in the earlier investigation".
Bresson and other directors of furious precision, such as Alfred Hitchcock and Carl Theodor Dreyer, built their stringent cinematic machinery on the basis of particular experience including embittered religion, stern repression, cruel morality, and equally cruel immorality.
When they occur, I slow down the discussion, and remind students that different interpretations are not signs of hopeless undecidability, but reveal that arguments work only on the basis of particular assumptions.
On the basis of particular phonological developments, some scholars have recognized a distinct Nūristānī group consisting of Ashkun, Kati, Prasun, Waigali, and Tregami (all spoken in the Hindu Kush), in addition to the Indo-Aryan and Indo-Iranian groups.
Coupled with the concept of particular solutions and radial basis functions, a simple and effective numerical method for solving a large class of partial differential equations can be achieved.
The method has been developed on the basis of particular rivers, having different runoff regimes, chosen as cases study; for these rivers it has permitted to optimize the plant and find the shorter investment payback time.
Entrenching the independence of the Bank, which means discouraging decisions on the basis of particular national interests, suggests the third choice, and that is what Mr Baldwin and colleagues recommend.Despite all of the above, the economists still want to see the treaty ratified.
