Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games

In this paper, we obtain an existence theorem of general strong noncooperative equilibrium point of vector-valued games, in which every player maximizes all goals. We also obtain an existence theorem of strong equilibrium point of vector-valued games with single-leader–multi-follower framework by using the upper semicontinuous of parametric strong noncooperative equilibrium point set of the followers. Moreover, we obtain some results on the generic stability of general strong noncooperative equilibrium point vector-valued games.

A Study on the Active Vector Model for Object Tracking

In this thesis we propose a new active vector model which is able to track objects with an algorithm. First of all we classified a few basic shapes as the modes of the tracking object, which were learned by the principle components analysis, and then we extracted the representative feature vector and the minimum shape parameters. And we reorganize the sequence of basic shape change to the shape change based on the feature point vector. We modeled the object of target tracking and its moving using both the feature position vector and shape change vector obtained by the above process. The proposed method generates parameterized values based on the moving pattern of the object, provides better stability of the local structure than other models, and decreases the cost of convergence duration, which is the weakness of model-based tracking algorithms.

Structured objects in quantum gravity. The external field approximation

The external field approximation (EFA) provides a mechanism whereby classical gravity and inertia emerge from a quantum background. The two-point vector, that in EFA represents gravity, is the byproduct of symmetry breaking and is accompanied by classical, vortical structures. Its interaction range is, in general, that of the metric tensor, but, in the context of a simple symmetry-breaking model, the range can be made finite by the presence of massive scalar particles. Vortices that conceal matter can then be produced, making it effectively “dark”. In EFA, fermion relativistic vortices can be induced, in particular, by rotation.

Classical and quantum aspects of particle propagation in external gravitational fields

In the study of covariant wave equations, linear gravity manifests itself through the metric deviation [Formula: see text] and a two-point vector potential [Formula: see text] itself constructed from [Formula: see text] and its derivatives. The simultaneous presence of the two gravitational potentials is noncontradictory. Particles also assume the character of quasiparticles and [Formula: see text] carries information about the matter with which it interacts. We consider the influence of [Formula: see text] on the dispersion relations of the particles involved, the particles’ motion, quantum tunneling through a horizon, radiation, energy–momentum dissipation and flux quantization.

Gis-Based Determination of Landslide Properties in Regional Scale: Karabuk Province (NW Turkey)

Natural hazards and their consequences are of great importance throughout the world. In Turkey, landslides constitute approximately 5% of the overall damage. The most important part of any landslide study is to extract landslide properties and database. In this study, Karabük city was selected as a study area which is known as one of the most landslide prone areas in Turkey. The study area contains the official borders of Karabük province. The area surrounded by the coordinates of 4518148N-4603891N and 424593E-512511E which has an areal extent of 4067 km square. The data of 1663 occurred landslides in Karabük, were digitized from 1/500.000 scale Turkey Landslide Inventory Map by considering the scarps with point vector format. Considering the literature, parameters of lithology, slope, topographical elevation, NDVI and aspect, which were frequently used among the researchers in landslide assessments, were produced and analyzed a GIS (Geographical Information System) platform. In order to perform analyses, the study area was divided into 62 watersheds. Then, lithology, slope, aspect, topographical elevation and NVDI characteristics of the region were automatically extracted by considering the landslide locations. In this type of study, GIS provides many advantages. For the next stages of landslide assessments such as susceptibility, hazard and risk, this stage provides important inputs and can be considered as the most important stage.