Academic literature on the topic 'Framework RWA'

This thesis is comprised of three parts. The first part describes a novel framework for computing importance measures on graph vertices. The concept of a D-spectrum is introduced, based on vertex ranks within certain chains of nested sub-graphs. We show that the D- spectrum integrates the degree distribution and coreness information of the graph as two particular such chains. We prove that these spectra are realized as fixed points of certain monotone and contractive SDSs we call t-systems. Finally, we give a vertex deletion algorithm that efficiently computes D-spectra, and we illustrate their correlation with stochastic SIR-processes on real world networks. The second part deals with the topology of the intersection nerve for a bi-secondary structure, and its singular homology. A bi-secondary structure R, is a combinatorial object that can be viewed as a collection of cycles (loops) of certain at most tetravalent planar graphs. Bi-secondary structures arise naturally in the study of RNA riboswitches - molecules that have an MFE binary structural degeneracy. We prove that this loop nerve complex has a euclidean 3-space embedding characterized solely by H2(R), its second homology group. We show that this group is the only non-trivial one in the sequence and furthermore it is free abelian. The third part further describes the features of the loop nerve. We identify certain disjoint objects in the structure of R which we call crossing components (CC). These are non-trivial connected components of a graph that captures a particular non-planar embedding of R. We show that each CC contributes a unique generator to H2(R) and thus the total number of these crossing components in fact equals the rank of the second homology group.<br>Doctor of Philosophy<br>This Thesis is divided into three parts. The first part describes a novel mathematical framework for decomposing a real world network into layers. A network is comprised of interconnected nodes and can model anything from transportation of goods to the way the internet is organized. Two key numbers describe the local and global features of a network: the number of neighbors, and the number of neighbors in a certain layer, a node has. Our work shows that there are other numbers in-between the two, that better characterize a node. We also give explicit means of computing them. Finally, we show that these numbers are connected to the way information spreads on the network, uncovering a relation between the network’s structure and dynamics on said network. The last two parts of the thesis have a common theme and study the same mathematical object. In the first part of the two, we provide a new model for the way riboswtiches organize themselves. Riboswitches, are RNA molecules within a cell, that can take two mutually opposite conformations, depending on what function they need to perform within said cell. They are important from an evolutionary standpoint and are actively studied within that context, usually being modeled as networks. Our model captures the shapes of the two possible conformations, and encodes it within a mathematical object called a topological space. Once this is done, we prove that certain numbers that are attached to all topological spaces carry specific values for riboswitches. Namely, we show that the shapes of the two possible conformations for a riboswich are always characterized by a single integer. In the last part of the Thesis we identify what exactly in the structure of riboswitches contributes to this number being large or small. We prove that the more tangled the two conformations are, the larger the number. We can thus conclude that this number is directly proportional to how complex the riboswitch is.

The problem of performance and scalability of web applications is challenged by most of the software companies. It is difficult to maintain the performance of a web application while the number of users is continuously increasing. The common solution for this problem is scalability. A web application can handle incoming and outgoing requests using blocking or non-blocking Input/Output operation. The way that a single server handles requests affects its ability to scale and depends on a web framework that was used to build the web application. It is especially important for Resource Oriented Architecture (ROA) based applications which consist of distributed Representational State Transfer (REST) web services. This research was inspired by a real problem stated by a software company that was considering the migration to the non-blocking web framework but did not know the possible profits. The objective of the research was to evaluate the influence of web framework&apos;s type on the performance of ROA based applications and to provide guidelines for assessing profits of migration from blocking to non-blocking JVM web frameworks. First, internet ranking was used to obtain the list of the most popular web frameworks. Then, the web frameworks were used to conduct two experiments that investigated the influence of web framework&apos;s type on the performance of ROA based applications. Next, the consultations with software architects were arranged in order to find a method for approximating the performance of overall application. Finally, the guidelines were prepared based on the consultations and the results of the experiments. Three blocking and non-blocking highly ranked and JVM based web frameworks were selected. The first experiment showed that the non-blocking web frameworks can provide performance up to 2.5 times higher than blocking web frameworks in ROA based applications. The experiment performed on existing application showed average 27\% performance improvement after the migration. The elaborated guidelines successfully convinced the company that provided the application for testing to conduct the migration on the production environment. The experiment results proved that the migration from blocking to non-blocking web frameworks increases the performance of web application. The prepared guidelines can help software architects to decide if it is worth to migrate. However the guidelines are context depended and further investigation is needed to make it more general.

This thesis analyzes and defines requirements of framework, which helps with quick and effortless development of business information systems. The main goal of the framework is development acceleration, price reduction and overall improvement of product quality. The thesis also compares and evaluates existing tools. The result is detailed design and implementation of own flexible solution that fulfills all defined requirements and removes disadvantages of existing solutions. In the scope for further studies framework development possibilities and directions are listed.