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This book covers a lot of ground in contemporary macroeconomics, from fundamental theories such as market structures and equilibrium to emerging concepts that reflect the most critical challenges of modern times, including economic slowdowns, the resilience of public health systems, digitalization, environmental footprints, and many more. The COVID-19 outbreak has aggravated the recurrent problems of poverty and income inequality between countries, food insecurity and hunger, unemployment, and social disorders that have resulted in the exacerbation of political, economic, and trade tensions between countries. In view of the damaging consequences of the pandemic for the entire global economy, the book examines how existing macroeconomic tools and policies could be adapted to the new normal to ensure sustainable post-pandemic development and growth.The main text is interspersed with real-life illustrations and cases that demonstrate practical implications of the concepts under study. This makes the reading relevant and active. Every chapter starts with learning objectives and ends with a series of questions and quizzes that enable easier reinforcement of the course content. This book is written mainly for students, but it would be much useful to the broader public audience, including postgraduates, researchers, and business people who will be able to learn all recent updates about macroeconomics and the post-pandemic perspectives of the global economy.

The edited book is a consolidated handbook on quantum computing that covers quantum basic science and mathematics to advanced concepts and applications of quantum computing and quantum machine learning applied to diverse domains. The book includes dedicated chapters on introduction to quantum computing, its practical applications, the working behind quantum systems, quantum algorithms, quantum communications, and quantum cryptography. Each challenge that can be addressed with quantum technologies is further discussed from theoretical and practical perspectives. The book is divided into five parts: Part I: Scientific Theory for Quantum, Part II: Quantum Computing: Building Concepts, Part III: Quantum Algorithms- Theory & Applications, Part IV: Quantum Simulation Tools & Demonstrations, and Part V: Future Direction and Applications.

This book considers the problems of network-based control and optimization. As is known, network-based control has great advantages over traditional control systems because it may lead to easy installation and maintenance, low cost, and so on. Sometimes, network-based control is also necessary in many situations. For example, multi-agents may need to communicate with each other under wireless scenarios. On the other hand, the network may lead to some imperfect factors such as samplings, delays, transmission protocols, and packet losses. These factors may degrade the system performance and even lead to the instability of the control systems.This book aims at providing a modeling framework and analysis approach for the general nonlinear networked control systems based on the hybrid framework. The proposed results deal with very general nonlinear systems and help the readers understand the principle of nonlinear network-based control and optimization.

Hermite's theorem makes it known that there are three levels of mathematical frames in which a simple addition formula is valid. They are rational, q-analogue, and elliptic-analogue. Based on the addition formula and associated mathematical structures, productive studies have been carried out in the process of q-extension of the rational (classical) formulas in enumerative combinatorics, theory of special functions, representation theory, study of integrable systems, and so on. Originating from the paper by Date, Jimbo, Kuniba, Miwa, and Okado on the exactly solvable statistical mechanics models using the theta function identities (1987), the formulas obtained at the q-level are now extended to the elliptic level in many research fields in mathematics and theoretical physics. In the present monograph, the recent progress of the elliptic extensions in the study of statistical and stochastic models in equilibrium and nonequilibrium statistical mechanics and probability theory is shown. At the elliptic level, many special functions are used, including Jacobi's theta functions, Weierstrass elliptic functions, Jacobi's elliptic functions, and others. This monograph is not intended to be a handbook of mathematical formulas of these elliptic functions, however. Thus, use is made only of the theta function of a complex-valued argument and a real-valued nome, which is a simplified version of the four kinds of Jacobi's theta functions. Then, the seven systems of orthogonal theta functions, written using a polynomial of the argument multiplied by a single theta function, or pairs of such functions, can be defined. They were introduced by Rosengren and Schlosser (2006), in association with the seven irreducible reduced affine root systems. Using Rosengren and Schlosser's theta functions, non-colliding Brownian bridges on a one-dimensional torus and an interval are discussed, along with determinantal point processes on a two-dimensional torus. Their scaling limitsare argued, and the infinite particle systems are derived. Such limit transitions will be regarded as the mathematical realizations of the thermodynamic or hydrodynamic limits that are central subjects of statistical mechanics.

This book reflects the endeavours and achievements of experts at Zhejiang Provincial Institute of Cultural Relics and Archaeology over the past 30 years, rooted in the archaeological exploration and excavation of Liangzhu. Presenting archaeological findings from the perspective of frontline specialists, the book guides readers through the ruins of the ancient city of Liangzhu, offering an introduction to the planning and construction of the Liangzhu Kingdom¿s capital, an early large-scale water conservation project in Liangzhu, the hierarchy of the ancient city, grain remains found there, and the construction of the outer wall for ¿Chinäs First City.¿ By doing so, the book unlocks the mysteries of the Liangzhu city site, making it accessible to the public!

This book presents the proceeding of 5th International Conference on Advances in Manufacturing and Materials Engineering (ICAMME2022), August 9¿10, Kuala Lumpur, Malaysia. It presents articles in topics that outline the state-of-the-art information in manufacturing and materials engineering for academia and industries. The topics represent the strong synergy between manufacturing, materials, design, and management supporting the transition from product service systems to life cycle engineering services as a contributor to high value manufacturing. The scope of this book also presents a set of new additive manufacturing, 3D printing, and advanced materials with new technology; green technology for United Nations SDGs; modeling & simulation of materials and manufacturing with some classical case examples. It caters to academics and industrial practitioners who have research interest in the latest advances in manufacturing and materials engineering.

This book provides the first extensive examination and analysis of the use of the urbanscape during the disaster process, by connecting its elements throughout disaster phases: the pre-disaster phase, consisting of reduction in form of prevention and mitigation; the disaster event phase, consisting of the disaster impact followed by the disaster effects; and the post-disaster phase, consisting of the post-disaster recovery. This work includes the analysis of 18 disaster case studies worldwide, of which 12 case studies are within the natural and 6 case studies within the man-made disaster category. The criteria for choosing these examples is based on the division into natural and man-made disaster subcategories and the period of their occurrence, from 1991 to 2021. The main purpose of this comparative analysis is to reveal the use of the urbanscape during the disaster process, through the role of its open public spaces during each disaster phase in both natural and man-made disastercategories. The book is a useful read for researchers and students of disaster management.

This book focuses on the production technology of temperate nuts. It explores cultivar and plant improvement, development and selection of rootstocks, plant¿water relations and irrigation, canopy architecture, and postharvest packaging of nut fruits. It also deals with organic approaches, biotechnological interventions, diseases, and pest management. Contributing authors address nut fruits such as walnut, pecan nut, chestnut, and hazel nut on different recent aspects. The development achieved in the fruit sector is indicative of the fact that there is growing demand of fruit produce. Temperate nuts with health benefits and market acceptability have best sources of fat, fiber, protein, and mineral. They provide dietary fiber, potassium, and a variety of health-protective bioactive compounds. Apart from the health benefits, production of temperate nuts improves the economy of the country as these are very good source of income and employment. In addition, there is wide diversificationin the production pattern of nuts globally. Increased production technology such as hybrids, high-yielding selections/ varieties, improved propagation techniques, and increased use of fertilizers and manures have brought spectacular increase in the production of nut fruits. This book is of interest to teachers, scientists, researchers, and scholars. Also, the book serves as additional reading material for undergraduate and postgraduate students of agriculture and horticulture. Horticulture nurseries and orchard industries also find this to be a useful read.

This book provides a self-contained introduction of mixed-effects models and small area estimation techniques. In particular, it focuses on both introducing classical theory and reviewing the latest methods. First, basic issues of mixed-effects models, such as parameter estimation, random effects prediction, variable selection, and asymptotic theory, are introduced. Standard mixed-effects models used in small area estimation, known as the Fay-Herriot model and the nested error regression model, are then introduced. Both frequentist and Bayesian approaches are given to compute predictors of small area parameters of interest. For measuring uncertainty of the predictors, several methods to calculate mean squared errors and confidence intervals are discussed. Various advanced approaches using mixed-effects models are introduced, from frequentist to Bayesian approaches. This book is helpful for researchers and graduate students in fields requiring data analysis skills as well as in mathematical statistics.

The book is an excellent reference collection of the research conducted by different workers on induced mutagenesis, worldwide, for more than 80 years. One can get almost all mutation breeding references at one place. The book gives a coherent and concise account of all the important and relevant aspects related to induced mutagenesis with an emphasis on recent developments in the field of crop improvement. The references have been arranged crop wise and important topic wise which deal with not only classical mutation breeding but also spontaneous mutations, somaclonal variations, nanoparticles, and relevant modern aspects. The book highlights 22 chapters covering holistic information on almost all important components such as radiosensitivity, chromosomal and morphological abnormalities, detection of mutation, management of chimera, present status of mutation etc.) of Mutation Breeding. Chapters are very informative, and one can follow the references on crop and aspect basis sincethe start of mutation breeding work. This book is an excellent resource for researchers and students for understanding proper applications of induced mutations in crop improvement and biological research. It is of interest and useful to graduate and postgraduate students, horticulturists, floriculturists, agricultural scientists, and breeders related to crop improvement program.

This book presents select proceedings of the International Conference on Recent Advances in Mechanical Engineering Research and Development (ICRAMERD 2022) focusing on the recent advances and best practices of mechanical engineering, related technologies and sciences to meet the challenges in mechanical engineering, digital technology and smart manufacturing. The contents focus on design engineering, advanced materials, automation in engineering, industrial and systems engineering, energy and others. Some of the topics discussed here include fracture and failure analysis, fuels and alternative fuels, non-conventional machining, combustion and IC engines, advanced manufacturing technologies, powder metallurgy and rapid prototyping, industrial engineering and automation, supply chain management, design of mechanical systems, vibrations and control engineering, automobile engineering, performance analysis of biomass energy systems, heat transfer, composite materials, thermal modelling and simulations of different systems, analysis of slurry pipeline systems, waste management, optimization and robotics. The wide range of topics presented in this book will be useful for beginners, researchers as well as professionals in mechanical engineering.

This book presents various computational and cognitive modeling approaches in the areas of health, education, finance, environment, engineering, commerce, and industry. It is a collection of selected conference papers presented at the 4th International Conference on Trends in Cognitive Computation Engineering (TCCE 2022), hosted by Mawlana Bhashani Science and Technology University, Tangail, Bangladesh, during December 17¿18, 2022. It shares cutting-edge insights and ideas from mathematicians, engineers, scientists, and researchers and discusses fresh perspectives on problem solving in a range of research areas.

This book is a primer on economics of competition law by a Commissioner based on cases of the Competition Commission of India (CCI). It presents economic theories in lucid ways while providing an in depth economic analysis of the cases dealt by CCI and in the process, it blends the diversity of responses by including the orders upheld by majority and minority. In essence. It is a unique work that addresses the gap between competition law and economics.

Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book distinguishes itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.

A Fibonacci-Based Pseudo-Random Number Generator.- On the Proof of GCD and LCM Equalities Concerning the Generalized Binomial and Multinomial Coefficients.- Supercube.- A Note on Fundamental Properties of Recurring Series.- Period Patterns of Certain Second-Order Linear Recurrences Modulo A Prime.- Nearly Isosceles Triangles Where the Vertex Angle Is a Multiple of the Base Angle.- The Ring of Fibonacci (Fibonacci "Numbers" With Matrix Subscript).- One-Relator Products of Cyclic Groups and Fibonacci-Like Sequences.- A Generalization of the Fibonacci Search.- Pascal's Triangle: Top Gun or Just One of the Gang?.- Conversion of Fibonacci Identities into Hyperbolic Identities Valid for an Arbitrary Argument.- Derivative Sequences of Fibonacci and Lucas Polynomials.- A Carry Theorem for Rational Binomial Coefficients.- On Co-Related Sequences Involving Generalized Fibonacci Numbers.- Fibonacci and B-Adic Trees in Mosaic Graphs.- Fibonacci Representations of Graphs.- On the Sizes of Elements in the Complement of a Submonoid of Integers.- Genocchi Polynomials.- An Application of Zeckendorf's Theorem.- A New Kind of Golden Triangle.- Terms Common to Two Sequences Satisfying the Same Linear Recurrence.- Recurrence Relations in Exponential Functions and in Damped Sinusoids and Their Applications in Electronics.- Some Basic Properties of the Fibonacci Line-Sequence.- De Moivre-Type Identities for the Tetrabonacci Numbers.- Two Generalizations of Gould's Star of David Theorem.- On Triangular Lucas Numbers.- A Fast Algorithm of the Chinese Remainder Theorem and Its Application to Fibonacci Numbers.- Generating the Pythagorean Triples Via Simple Continued Fractions.- On the Moebius Knot Tree and Euclid's Algorithm.- Generalized Fibonacci and Lucas Factorizations.- On Even Fibonacci Pseudoprimes.- Possible Restricted Periods of Certain Lucas Sequences Modulo P.- Using Matrix Techniques to Establish Properties of a Generalized Tribonacci Sequence.