The coordinate measuring technique appropriates to measure dimensional and geometric properties of a machine part. result the is effected by several parameters, like method, point sampling technique, mathematical processing measured coordinates. current article investigates effect methods in case free-form surface. Two are compared: uniform matrix Halton-Zaremba quasi-random method. number poin...

Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based representation. However, NMF has the drawback of being highly ill-posed, that is, there typically exist many different but equivalent factorizations. In this paper, we introduce a completely new way to obtaining more...

The geometric programming problem (GP) is to minimize a posynomial g(t) = I ∑

Position is an extremely important parameter for each node in most of applications using wireless sensor work (WSN). In this paper, a new distributed localization (DMDS-GC) algorithm is proposed based on the multidimensional scaling (MDS) technique and the geometric correction technique. In DMDS-GC, the entire network is split into several localization clusters (LCs) with sufficient common node...

Control of permanent magnetic actuators is not an easy task because of the presence of the nonlinear quadratic terms of the currents. In order to achieve a suitable controlled dynamics canceling the effect of the nonlinearity, a new control strategy has been conceived. The proposed strategy combines the geometric eigenvector concept through a pre-compensation action and a Model Predictive Contr...

In this paper, the Spinors of the physical 3-D Euclidean spaces of Geometric Algebras over a finite dimensional vector space are defined. Action of Spinors on Euclidean spaces is discussed. The technique for the calculation of ephemeris using Spinors is illustrated. In this process sequences of Spinors in their half angle form as well as their matrix form are used and compared. It is shown that...

We relate a classic algebro-geometric degeneration technique, dating at least to [Hodge 1941], to the notion of vertex decompositions of simplicial complexes. The good case is when the degeneration is reduced, and we call this a geometric vertex decomposition. Our main example in this paper is the family of vexillary matrix Schubert varieties, whose ideals are also known as (one-sided) ladder d...