In the teaching and researching of linear regression analysis, it is interesting enlightening to explore how dependent variable vector can be inner-transformed into coefficient estimator from a visible geometrical view. As an example, roadmap such inner transformation presented based on simple multiple model in this work. By applying matrix algorithms like singular value decomposition (SVD) Moo...

The aim of this paper is to clear up the problem connection between 3D geometric moments invariants and invariant theory, considering a describing as classical theory.Using remarkable fact that complex groups $SO(3,\mathbb{C})$ $SL(2,\mathbb{C})$ are locally isomorphic, we reduced deriving well-known theory.
 We give precise statement computation, intro\-ducing notions algebras simultaneou...

We examine the history of linear programming from computational, geometric, and complexity points of view, looking at simplex, ellipsoid, interior-point, and other methods.

The imaging system involves an image produced from a reeection by a spherical mirror to produce a 360 projection of the environment. This paper extends previous work on an image-based navigation system in which the 360 view is compressed into a circular waveform. A navigation task is speciied as a sequence of homing tasks on target locations. This is accomplished by matching landmarks from the ...

A geometric network is a distributed network where each processor is identified by two numbers, representing the coordinates of the point in the plane where the processor is located. The edges of the network correspond to straight line segments such that no two of them intersect. In this paper we introduce the study of distributed computing in geometric networks. We study several computational ...

Geometric models and Teichmüller structures have been introduced for the space of smooth circle endomorphisms and for the space of uniformly symmetric circle endomorphisms. The latter one is the completion of the previous one under the Techmüller metric. Moreover, the spaces of geometric models as well as the Teichmüller spaces can be described as the space of Hölder continuous scaling function...