Application of Modeling Techniques | Book Publisher International

Models are a valuable tool in various areas of knowledge and of course within the technology industry, they constitute strong support during the task of transmitting knowledge in a classroom, in addition to supporting the compression and construction of reality, as they represent characteristics of a relevant situation in a given topic.

The types of models available today, are perhaps essential to develop certain activities, autonomous vehicles, smart homes, security cameras among many other applications that make use of reference models that support the development of new ideas.

This work shows some of the main challenges are shared in models that the current academic population requires to reach that vision of generating new ideas or innovative changes in the IT industry.

In this context, the models refer to special topics and which are tools to learn to develop analysis, logical-mathematical and innovative skills that will contribute to increase knowledge and solve current challenges.

Technological innovation is a priority to be competent, so it is essential that the technology is intuitive and user-friendly and responds to their interests, and it is also necessary to incorporate artificial intelligence, algorithm and image information processing or texts add value to education and business

Author(s) Details

Silvia Soledad Moreno Gutiérrez
Autonomus University of the State of Hidalgo, Mexico.

Nubia Belzabet Pérez Olguín        
Autonomous University of the State of Hidalgo- Superior School of Tlahuelilpan, Av. University without number, Tlahuelilpan, Hidalgo., 42780, Mexico.

Héctor D. Molina-Ruiz
Sciences Institute, Autonomous University of Hidalgo, Mexico.

Heydy Castillejos-Fernández       
Sciences Institute, Autonomous University of Hidalgo, Mexico.

Mónica García-Munguía
College of Tlahuelilpan, Autonomous University of Hidalgo State, Tlahuelilpan de Ocampo, Hidalgo, Mexico. 

José Luis Alvarado Reséndiz
College of Tlahuelilpan, Autonomous University of Hidalgo State, Tlahuelilpan de Ocampo, Hidalgo, Mexico.

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Colombeau Solutions to Einstein Field Equations in General Relativity: Gravitational Singularities, Distributional SAdS BH Spacetime-Induced Vacuum Dominance | Book Publisher International

This paper dealing with Colombeau extension of the Einstein field equations using apparatus of the Colombeau generalized function [1]-[2] and contemporary generalization of the classical Lorentzian geometry named in literature Colombeau distributional geometry, see for example [5]-[30] and [15][31]. The regularizations of singularities present in some Colombeau solutions of the Einstein equations is an important part of this approach. Any singularities present in some solutions of the Einstein equations recognized only in the sense of Colombeau generalized functions [1]-[2] and not classically. In this paper essentially new class Colombeau solutions to Einstein fild equations is obtained. We leave the neighborhood of the singularity at the origin and turn to the singularity at the horizon. Using nonlinear distributional geometry and Colombeau generalized functions it seems possible to show that the horizon singularity is not only a coordinate singularity without leaving Schwarzschild coordinates. However the Tolman formula for the total energy ET of a static and asymptotically flat spacetime, gives ET = m, as it should be. The vacuum energy density of free scalar quantum field Φ with a distributional background spacetime also is considered. It has been widely believed that, except in very extreme situations, the influence of gravity on quantum fields should amount to just small, sub-dominant contributions. Here we argue that this belief is false by showing that there exist well behaved spacetime evolutions where the vacuum energy density of free quantum fields is forced, by the very same background distributional spacetime such distributional BHs, to become dominant over any classical energy density component. This semiclassical gravity effect finds its roots in the singular behavior of quantum fields on curved distributional spacetimes. In particular we obtain that the vacuum fluctuations Φ2 has a singular behavior on BHs horizon . r+: Φ2 (r) ˜ |r − r+|−2. A CHALLENGE TO THE BRIGHTNESS TEMPERATURE LIMIT OF THE QUASAR 3C273 explained successfully.

Author(s) Details

Jaykov Foukzon
Center for Mathematical Sciences, Technion – Israel Institute of Technology, Haifa, Israel.

Alexander Alexeevich Potapov
Kotel’nikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Moscow, 125009, Russia.

Menkova Elena Romanovna
All-Russian Research Institute for Optical and Physical Measurements, Moscow, 119361, Russia.

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