UAV trajectory planning is often done in a two-step approach, where low-dimensional path refined to dynamic trajectory. The resulting trajectories are only locally optimal, however. On the other hand, direct higher-dimensional state spaces generates globally optimal solutions but time-consuming and thus infeasible for time-constrained applications. To address this issue, we propose $$\delta $$ ...

We construct a new harmonic family: dielectric flow solutions with maximal supersymmetry in eleven-dimensional supergravity. These solutions are asymptotically AdS4 ×S7, while in the infra-red the M2 branes are dielectrically polarized into M5 branes. These solutions are holographically dual to vacua of the mass deformed theory on M2 branes. They also provide an interesting insight on the super...

As mentioned before, the success of CASE relies on two noteworthy properties: the Sure Screening (SS) property and the Separable After Screening (SAS) property. In this section, we discuss the two properties in detail, and illustrate how these properties enable us to decompose the original regression problem to many small-size regression problems which can be fit separately. We then use these p...

I describe a modification to Shanks’ baby-step giant-step algorithm for computing the order n of an element g of a group G, assuming n is finite. My method has the advantage of being able to compute n quickly, which Shanks’ method fails to do when the order of G is infinite, unknown, or much larger than n. I describe the algorithm in detail. I also present the results of implementations of my a...

In this paper, we deal with a new family of iterative methods for approximating the solution nonlinear systems non-differentiable operators. The novelty is that it m-step generalization Steffensen-type method by updating divided difference operator in first two steps but not following ones. This procedure allows us to increase both order convergence and efficiency index respect obtained updates...