A historical and practical survey of quantum computing using QISKit

Quantum Computing has been a part of computer science literature since the 1960s, but the call for quantum mechanical-based computation came when renowned theoretical physicist Richard Feynman said, “… nature isn\u27t classical, dammit, and if you want to make a simulation of nature, you\u27d better make it quantum mechanical, and by golly it\u27s a wonderful problem, because it doesn\u27t look so easy.” (Feynman, 486) His words inspired people to begin work on the project immediately. Although the best ideas have not yet been found, there is much active research and experimentation going on to learn how best to use these new quantum systems. The more computer scientists understand quantum computing, the better the algorithms become, although they have yet to create numerous future applications. How did quantum computing develop? A related question is, How do people use quantum computing in practical applications? Research suggests quantum computing developed in the early 1980s after the call came from Richard Feynman, and numerous researchers such as David Deutsch, Peter Shor, and Lov Grover outlined theoretical aspects of the field, defined fundamental algorithms, and predicted a quantum advantage providing exponential speedup over classical algorithms. This project provides historical context and pertinent background information. Computer scientists can use quantum computing for their own research and to extend the range of quantum computing itself. An experiment performed with the IBM resource known as QISKit shows how members of the public can perform their own practical applications of quantum computing, while also illustrating limitations that exist in the field of quantum computers

Models of self-organization in biological development

Bibliography: p. 297-320.In this thesis we thus wish to consider the concept of self-organization as an overall paradigm within which various theoretical approaches to the study of development may be described and evaluated. In the process, an attempt is made to give a fair and reasonably comprehensive overview of leading modelling approaches in developmental biology, with particular reference to self-organization. The work proceeds from a physical or mathematical perspective, but not unduly so - the major mathematical derivations and results are relegated to appendices - and attempts to fill a perceived gap in the extant review literature, in its breadth and attempted impartiality of scope. A characteristic of the present account is its markedly interdisciplinary approach: it seeks to place self-organization models that have been proposed for biological pattern formation and morphogenesis both within the necessary experimentally-derived biological framework, and in the wider physical context of self-organization and the mathematical techniques that may be employed in its study. Hence the thesis begins with appropriate introductory chapters to provide the necessary background, before proceeding to a discussion of the models themselves. It should be noted that the work is structured so as to be read sequentially, from beginning to end; and that the chapters in the main text were designed to be understood essentially independently of the appendices, although frequent references to the latter are given. In view of the vastness of the available information and literature on developmental biology, a working knowledge of embryological principles must be assumed. Consequently, rather than attempting a comprehensive introduction to experimental embryology, chapter 2 presents just a few biological preliminaries, to 'set the scene', outlining some of the major issues that we are dealing with, and sketching an indication of the current status of knowledge and research on development. The chapter is aimed at furnishing the necessary biological, experimental background, in the light of which the rest of the thesis should be read, and which should indeed underpin and motivate any theoretical discussions. We encounter the different hierarchical levels of description in this chapter, as well as some of the model systems whose experimental study has proved most fruitful, some of the concepts of experimental embryology, and a brief reference to some questions that will not be addressed in this work. With chapter 3, we temporarily move away from developmental biology, and consider the wider physical and mathematical concepts related to the study of self-organization. Here we encounter physical and chemical examples of spontaneous structure formation, thermodynamic considerations, and different approaches to the description of complexity. Mathematical approaches to the dynamical study of self-organization are also introduced, with specific reference to reaction-diffusion equations, and we consider some possible chemical and biochemical realizations of self-organizing kinetics. The chapter may be read in conjunction with appendix A, which gives a somewhat more in-depth study of reaction-diffusion equations, their analysis and properties, as an example of the approach to the analysis of self-organizing dynamical systems and mathematically-formulated models. Appendix B contains a more detailed discussion of the Belousov-Zhabotinskii reaction, which provides a vivid chemical paradigm for the concepts of symmetry-breaking and self-organization. Chapter 3 concludes with a brief discussion of a model biological system, the cellular slime mould, which displays rudimentary development and has thus proved amenable to detailed study and modelling. The following two chapters form the core of the thesis, as they contain discussions of the detailed application of theoretical concepts and models, largely based on self-organization, to various developmental situations. We encounter a diversity of models which has arisen largely in the last quarter century, each of which attempts to account for some aspect of biological pattern formation and morphogenesis; an aim of the discussion is to assess the extent of the underlying unity of these models in terms of the self-organization paradigm. In chapter 4 chemical pre-patterns and positional information are considered, without the overt involvement of cells in the patterning. In chapter 5, on the other hand, cellular interactions and activities are explicitly taken into account; this chapter should be read together with appendix C, which contains a brief introduction to the mathematical formulation and analysis of some of the models discussed. The penultimate chapter, 6, considers two other approaches to the study of development; one of these has faded away, while the other is still apparently in the ascendant. The assumptions underlying catastrophe theory, the value of its applications to developmental biology and the reasons for its decline in popularity, are considered. Lastly, discrete approaches, including the recently fashionable cellular automata, are dealt with, and the possible roles of rule-based interactions, such as of the so-called L-systems, and of fractals and chaos are evaluated. Chapter 7 then concludes the thesis with a brief assessment of the value of the self-organization concept to the study of biological development

Proceedings of Seminar on Partial Differential Equations in Osaka 2012 : in honor of Professor Hiroki Tanabe’s 80th birthday

Osaka University, August 20‐24, 2012Edited by Atsushi Yagi and Yoshitaka Yamamot

GPT Semantic Networking: A Dream of the Semantic Web – The Time is Now

The book presents research and practical implementations related to natural language processing (NLP) technologies based on the concept of artificial intelligence, generative AI, and the concept of Complex Networks aimed at creating Semantic Networks. The main principles of NLP, training models on large volumes of text data, new universal and multi-purpose language processing systems are presented. It is shown how the combination of NLP and Semantic Networks technologies opens up new horizons for text analysis, context understanding, the formation of domain models, causal networks, etc. This book presents methods for creating Semantic Networks based on prompt engineering. Practices are presented that will help build semantic networks capable of solving complex problems and making revolutionary changes in the analytical activity. The publication is intended for those who are going to use large language models for the construction and analysis of semantic networks in order to solve applied problems, in particular, in the field of decision making.У книзі представлені дослідження та практичні реалізації технологій обробки природної мови (НЛП), заснованих на концепції штучного інтелект, генеративний ШІ та концепція складних мереж, спрямована на створення семантичних мереж. Представлено основні принципи НЛП, моделі навчання на великих обсягах текстових даних, нові універсальні та багатоцільові системи обробки мови. Показано, як поєднання технологій NLP і семантичних мереж відкриває нові горизонти для аналізу тексту, розуміння контексту, формування моделей домену, причинно-наслідкових мереж тощо. У цій книзі представлені методи створення семантичних мереж на основі оперативного проектування. Представлені практики, які допоможуть побудувати семантичні мережі, здатні вирішувати складні проблеми та вносити революційні зміни в аналітичну діяльність. Видання розраховане на тих, хто збирається використовувати велику мову моделі побудови та аналізу семантичних мереж з метою вирішення прикладних задач, зокрема, у сфері прийняття рішень