The purpose of this dissertation is to study pseudo-Riemannian algebras, which are algebras with pseudo-Riemannian non-degenerate symmetric bilinear forms. The paper([1]), the authors Zhiqi Chen, Ke Liang, and Fuhai Zhu find that pseudo-Riemannian algebras whose left centers are isotropic play a key role and show that the decomposition of pseudo-Riemannian algebras whose left centers are isotropic into indecomposable non-degenerate ideals is unique up to a special automorphism. Furthermore, if the left center equals the center, the orthogonal decomposition of any pseudo-Riemannian algebra into ...

The paper presents the study of the iterations of rational fractions, that is, the behavior of z_0,z_1=f(z_0 ),…,z_(n+1)=f(z_n ),… We illustrate the conditions needed for this function to behave as its linear part and prove the existence of Siegel and Cremer points. The study extends to a description of Fatou and Julia sets.

In this work we discuss a special kind of stochastic processesX=〖{X_t}〗_(〖t∈R〗_(≥0) ) that are of exceptional interest from both the theoretical ad the applied points of view. These processes are called Affine Processes, and are characterized by the fact that their characteristic function has the form of an exponential of an affine function, i.e. by 〖∅^x〗_X (u) |_t=E^x [e^(<X_(t ),u>) ]=e^(Φ(t,u)+<x,Ψ(t,u)>), Where the exponent Φ(t,u)+ <x,Ψ(t,u)> Is an affine function of its initial state x in the state-space E=〖R^m〗_(≥0)×R^n. The above expectation E^x is the expectation which respect to the ...

Maintenance is the most costly phase of the software life cycle. The maintenance cost of a program is estimated to be over 80% of its total life cycle costs (Erlikh, 2000). Since most of the maintenance time is devoted to understanding the program itself, program comprehension becomes essential. Often, a large fraction of the maintenance time is spent on reading code to understand what functionality of the program it implements. An insufficiently documented source code can be challenging for developers to understand and maintain. A clear and concise documentation can help developers ...

In the last few years, Cloud Storage has taken a new turn in becoming the latest trend to create a huge impact in the IT world. Amazon Drive is a cloud storage mobile applications created by Amazon. This application provides online and easy access to documents, music, photos and videos saved in your cloud drive. Due to the importance and widespread of the cloud, not only regular users, but also criminals have taken advantage of the services provided by this new technology to commit digital crimes. Digital forensics is a branch of forensic sciences that aims at ...

With the advancement in computing and wireless technologies, the world has witnessed a growing number of connected devices to the Internet at an unpretending rate. Fog computing emerges as an alternative solution to reduce the burden of Data Centers in traditional Cloud Computing and to support geographically distributed, latency sensitive, and QoS-aware IoT appliations. Fog Computing suggests, that the intelligence should move from the data centers to the edge of network. The main objective of this thesis is to determine the significance and feasibility of implementing a broker node between ...

Cloud computing ecosystem is one of the trends currently being discussed in the domain of information technology and computing. Computing ecosystem allows smart usage of technology which means unneeded resources are saved such as power, computing resources, spaces for datacenters as well as saving huge amount of CO2 and electric circuit boards and machines. Cloud federation and its underlying techniques, is considered role model in sharing and expanding cloud business to provide better and cheaper services for end-users. In this thesis, we will survey and compare existing Identity Access Management ...

Sleep restriction is now considered to be a worldwide epidemic, as over 20% of people around the world are sleep deprived. Although sleep deprivation is now an overlooked feature of modern societies, it entails considerable adverse effects on physiological systems, one being energy homeostasis. A corpus of research has demonstrated that leptin, a key hormone that conveys the body's energy status to the brain, decreases after sleep restriction, which may partly account for the associated alteration in body metabolism; however little information is available regarding the underlying ...

Known as polymorphonuclear leukocytes (PMNs), neutrophils have been shown to play a regulatory role in healing injuries and resolving infections. Although the immune response (IR) of neutrophils in bacterial and fungal infections is well understood, their impact during sporozoite infection is much less studied. This project investigates the role of neutrophils in recognizing Plasmodium berghei sporozoites in an effort to understand the mechanism of sporozoites’ IR evasion and spread of malaria infection in the blood circulation. Plasmodium berghei GFP-expressing sporozoites were purified from ...

Low-Ionization Nuclear Emission-Line Regions (LINERs) represent the low luminosity end of Active Galactic Nuclei (AGN). The main power source of LINERs is the subject of considerable debate in the scientific community today, despite the fact that some Liners show features of mass accretion into a super massive black hole (SMBH). Optical line-ratio diagrams are not conclusive diagnostic tools as they can be explained by different mechanisms, including shocks (Dopita et al. 1997[8]) and photoionization accompanied by outflow resembling accretion (Sabra et al. 2003[23]). This dissertation will ...