Since (J_{lambda}) is not bounded below on X, it is useful to consider the problem on the Nehari manifold mathcal{N}= bigl{ uin Xbackslash{0}|bigllangle J'_{lambda } u),u bigrrangle =0 bigr}, where (langlecdot,cdotrangle) denotes the usual duality.
As such, K-kernel is useful to study the problem of the design of training populations.
So is useful to break the problem up into two pieces: the value of ads to advertisers and publishers, and the value of search results to users.Suppose Google were to disappear tomorrow.
Although a number of approaches have been proposed to identify regions that have evolved at a lower rate than the surrounding DNA, with some even allowing rates to change over the branches of the tree, we argue that it can be useful to consider the problem from a machine-learning perspective.
Moreover, the same research work is greatly useful to conquer the problem of discharging colored wastewater generated from integrated pulp and paper industries.
With F V) defined in Eq. 10 it is useful to split the problem in two cases depending on whether the voltage reset V r leads to a value above or below V T. If V r < V T, separation of timescales means that V will increase too fast for w to change significantly unless the trajectory encounters the V-nullcline.
Investigating the interview data according to this model was very useful to clarify the problem of limited uptake and to formulate lessons for future self-management support initiatives.
By this reason, namely, the N is large in molecular systems, it would be useful to reduce the problem from size (L + 1 2 to N + 1 ≤ L + 1, as will be shown below, the main point in this work.
Furthermore, in many cases it is not useful to express the problem purely in terms of particles and forces.
But, this approach can be particularly useful to solve the problem, in an approximate way, by aggregation of cells as proposed by Önal and Briers [2].
