Matematik

Lógica Dialógica. Reglas y ejercicios para hacer lógica con diálogos constituye la primera introducción a la Lógica dialógica en castellano dirigida a la práctica de la dialógica y que contiene comentarios precisos sobre ejercicios y soluciones tanto de lógica proposicional como de lógica clásica de primer orden, intuicionista y elementos de lógica modal proposicional. Es la primera parte de la obra Los Diálogos de la Lógica, concebida en dos textos autónomos separados sobre lógica dialógica. Los dos textos deberían ofrecer conjuntamente una visión técnica y filosófica completa del enfoque dialógico de la lógica

Math Mammoth Grade 8 Answer Keys includes answer keys to: Math Mammoth Grade 8-A worktext;Math Mammoth Grade 8-B worktext;End-of-chapter tests;End-of-year test;Cumulative reviews.

The expansion and constant complication of the scope of research objects requires the development of new effective methods and algorithms for adaptive identification, state assessment and management in uncertainty conditions based on the concept of conditional Gaussian filtering. Also, in the non-parametric description of correlation interactions requires the development of systematic algorithms for conditional-optimal filtering of control objects and adaptive assessment of the state of control objects, taking into account parametric upheavals. In addition, it would be expedient to develop stable algorithms for suboptimal assessment of the state of control objects, extended state vectors of controlled objects, as well as stable algorithms for multi-step assessment of the state of nonlinear control objects. The monograph considers the development of algorithms and computational schemes for adaptive assessment of the state of stochastic control objects on the basis of the conditional Gaussian filtering method and methods of their practical application.

Each of the "Keys to the Kingdom" Advanced Training Course Manuals will further a Seekers reach on the Pathway leading out of this Universe.

TAL 4 - Brøk og procentI dette hæfte udvides talområdet med brøker og procent. Der arbejdes med forståelse af begreberne brøk og procent med flere forskellige repræsentationer - herunder sammenhæng mellem brøk og decimaltal repræsenteret på en tallinjeDette er en serie elevhæfter, der understøtter elevernes individuelle arbejde med de forskellige områder af matematikken. Gennem systematisk tilgang sikres det, at eleverne får automatiseret de indlærte færdigheder. Der er fokus på regnestrategier og begrebsforståelse.Der er ikke klassebetegnelse på hæfterne - blot en markering af progressionen inden for hvert område. Det betyder, at hæfterne kan anvendes i hele skoleforløbet og i specialundervisningen.Eksemplarfremstilling elektronisk eller papirkopier/prints til undervisningsbrug er kun tilladt med en aftale med CopyDan Tekst & Node indenfor de rammer, der er nævnte i aftalen.

Regnestrategier 7Regn med brøkerI hæftet arbejdes der systematisk med addition og subtraktion af ensbenævnte brøker, fællesnævner, blandet tal og multiplikation af brøk med hele tal.Se og regn er en serie elevhæfter, der understøtter elevernes individuelle arbejde med de forskellige områder af matematikken. Gennem systematisk tilgang sikres det, at eleverne får automatiseret de indlærte færdigheder. Der er fokus på regnestrategier og begrebsforståelse.Der er ikke klassebetegnelse på hæfterne - blot en markering af progressionen inden for hvert område. Det betyder, at hæfterne kan anvendes i hele skoleforløbet og i specialundervisningen.Eksemplarfremstilling elektronisk eller papirkopier/prints til undervisningsbrug er kun tilladt med en aftale med CopyDan Tekst & Node indenfor de rammer, der er nævnte i aftalen.

Each of the "Keys to the Kingdom" Advanced Training Course Manuals will further a Seekers reach on the Pathway leading out of this Universe.

Math Mammoth Grade 8-A Worktext is the first student book for eighth grade mathematics, and part of the Math Mammoth Grade 8 complete curriculum.This book starts with a study of exponent laws, using both numerical and algebraic expressions. The first chapter also covers scientific notation (both with large and small numbers), significant digits, and calculations with numbers given in scientific notations. In chapter 2, students learn about geometric transformations (translations, reflections, rotations, dilations), common angle relationships, and volume of prisms, cylinders, spheres, and cones. Next, in chapter 3, our focus is on linear equations. Students both review and learn more about solving linear equations, including equations whose solutions require the usage of the distributive property and equations where the variable is on both sides. Chapter 4 presents an introduction to functions. Students construct functions to model linear relationships, learn to use the rate of change and initial value of the function, and they describe functions qualitatively based on their graphs. Features Math Mammoth focuses on conceptual understanding. It explains the "WHY", so students can understand the math, not just learn "HOW" to do it.The curriculum is mastery-oriented. This means it concentrates fairly long on a topic, delving into its various aspects. This promotes conceptual understanding, as opposed to spiral curricula that often tend to jump from topic to topic too much.It requires very little teacher preparation. :)The curriculum has no separate teacher's manual nor is it scripted. The introduction to each chapter has some notes for the teacher concerning the material in the chapter. All the instruction is written directly to the student in the worktext.After each chapter introduction, you will find a list of Internet links and resources (games, quizzes, animations, etc.) that can be used for fun, illustrations, and further practice.

This book provides a systematic presentation of the major results in the field of the theory of k-out-of-n systems obtained in recent years and their applications for the reliability assessment of high-altitude unmanned platforms. Mathematical models, methods, and algorithms, presented in the book, will make a significant contribution to the development of reliability theory and the theoretical foundations of unmanned UAV-based aerial communications networks in the framework of the concept of creating the 5G and beyond networks. The book gives a description of new mathematical methods and approaches (based on decomposable semi-regenerative processes, simulation and machine learning methods, and inventory models) to the study of the complex k-out-of-n systems, which makes it possible to carry out numerical calculations of reliability indicators. Organized into five chapters, each chapter begins with a summary of the main definitions andresults contained in the chapter. The content of this book is based on the original results developed by the authors, many of which appear for the first time in book form.

This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported on a given closed n-dimensional manifold. This is a case study where two vibrant areas of research in geometric analysis, Ricci flow and Einstein constraints theory, interact in a quite remarkable way. The interaction is of great relevance for applications in relativistic cosmology, allowing a mathematically rigorous approach to the initial data set averaging problem, at least when data sets are given on a closed space-like hypersurface. The book does not assume an a priori knowledge of Ricci flow theory, and considerable space is left for introducing the necessary techniques. These introductory parts gently evolve to a detailed discussion of the more advanced results concerning a Fourier-mode expansion and a sophisticated heat kernel representation of the Ricci flow, both of which are of independent interest in Ricci flow theory. This work is intended for advanced students in mathematical physics and researchers alike.

"Packed with examples and illustrations to describe complex concepts and mathematical derivations, and including end-of-chapter problems with helpful hints, this thorough and accessible textbook is the ideal introduction to continuum thermodynamics for senior undergraduate and graduate students of mechanical, aeronautical and civil engineering"--

"Get up-to-speed with the fundamentals of how electricity markets are structured and operated with this comprehensive textbook, requiring no prior experience in power systems or energy economics. An ideal introduction for senior undergraduate and graduate students in electrical engineering, economics, and operations research"--

Math Mammoth Grade 8-B Worktext is the second student book for eighth grade mathematics, and part of the Math Mammoth Grade 8 complete curriculum. The book starts with chapter 5, graphing linear equations. Students study slope, and graph and write linear equations in slope-intercept and standard forms. They also learn about parallel and perpendicular lines.In chapter 6, students delve into square roots, cube roots, and irrational numbers and solve equations involving square and cube roots. The rest of the chapter is spent studying the Pythagorean Theorem and its applications. Next, in chapter 7, we focus on systems of linear equations. Students learn the three basic techniques for solving these and also solve a variety of problems that are solved with a pair of linear equations. The last chapter covers statistical topics: scatter plots and two-way tables.Features Math Mammoth focuses on conceptual understanding. It explains the "WHY", so students can understand the math, not just learn "HOW" to do it.The curriculum is mastery-oriented. This means it concentrates fairly long on a topic, delving into its various aspects. This promotes conceptual understanding, as opposed to spiral curricula that often tend to jump from topic to topic too much.It requires very little teacher preparation. :) The curriculum has no separate teacher's manual nor is it scripted. The introduction to each chapter has some notes for the teacher concerning the material in the chapter. All the instruction is written directly to the student in the worktext.Each chapter introduction also includes a list of Internet links and resources (games, quizzes, animations, etc.) that can be used for fun, illustrations, and further practice.

Math Mammoth Grade 8 Tests & Cumulative Reviews contains the end-of-chapter tests, the comprehensive end-of-year test, and optional cumulative review lessons for Math Mammoth grade 8 complete curriculum.

This Special Issue brings together the latest advancements across various facets of viscous and viscoelastic fluid flows. Encompassing a spectrum of contributions, the topics span from innovative numerical methods and sophisticated mathematical modeling to cutting-edge experimental research. In addition to providing insights into the current state of research in these domains, the issue aims to foster a comprehensive understanding of the intricate dynamics and behaviors exhibited by viscous and viscoelastic fluids.

In the realm of complex decision making, characterized by inherent incompleteness and uncertainty, the foundational work of Lotfi A. Zadeh on fuzzy set theory has been instrumental. The efficacy of classical fuzzy sets in addressing vagueness has prompted an exploration of various extensions, each catering to the intricacies of real-world decision-making problems. This reprint delves into an array of advanced fuzzy theories, including type-2 fuzzy sets, hesitant fuzzy sets, multivalued fuzzy sets, cubic sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets, spherical fuzzy sets, neutrosophic sets, and more. The richness of these extensions reflects the dynamism of fuzzy theories in diverse decision-making applications.

The book offers an analysis of Joachim Jungius¿ Texturæ Contemplatio - a hitherto-unpublished manuscript written in German and Latin that deals with weaving, knitting and other textile practices, attempting to present as well various fabrics and textile techniques in a scientifical and even mathematical framework. The book aims to provide the epistemological, technical and historic framework for Jungius¿ manuscript, inspecting fabrics, weaving techniques as well as looms and other textile machines in Holy Roman Empire during the Early Modern Period. It also offers a unique investigation of the notion and metaphor of ¿texture¿ during this period, and explores, within the wider context of the ¿meeting¿ or ¿trading zones¿ thesis, the relations between artisans and natural philosophers during the 17th century. The book is of interest to historians of philosophy and mathematics, as well as historians of technology.

This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level. It introduces the family of stable Klingen congruence subgroups of GSp(4) and uses this family to obtain new relations between the Hecke eigenvalues and Fourier coefficients of paramodular newforms, revealing a fundamental dichotomy for paramodular representations. Among other important results, it includes a complete description of the vectors fixed by these congruence subgroups in all irreducible representations of GSp(4) over a nonarchimedean local field.Siegel paramodular forms have connections with the theory of automorphic representations and the Langlands program, Galois representations, the arithmetic of abelian surfaces, and algorithmic number theory. Providing a useful standard source on the subject, the book will be of interest to graduate students and researchers working in the above fields.

Das Werk bietet eine klare, didaktische Herangehensweise in die Themen der linearen Algebra. Beginnend mit Mengen, Gruppen, Ringen und Körpern stellt der Autor nachfolgend Vektorräume, Matrizen, Permutationen und Eigenwerte verständlich vor und führt dabei motivierend an das Lösen von Gleichungsaufgaben heran. Aufgrund der zahlreichen Beispiele und Übungsaufgaben ist es sowohl vorlesungsbegleitend als auch zum Selbststudium optimal geeignet. Das letzte Kapitel"Gleichförmige Bewegungen in der Ebene" ist etwas Ungewöhnliches, Besonderes, das man übelichweise nicht in Lehrbüchern zur linearen Algebra findet. Es soll ein Beispiel dafür geben, was man mit verhältnismäßig einfacher Vektorrechnung schon alles anfangen kann. Das Ziel dieses Lehrbuchs ist nicht nur in die lineare Algebra einzuführen, sondern auch einen fundierten Einstieg in die Mathematik und ihre Denkweise zu bieten.

Dieses Standardwerk zu philosophischen Hintergründen des mathematischen Denkens und Sprechens, Lehrens und Lernens bietet einen umfangreichen Abriss zur Geschichte der Philosophie der Mathematik bis hin zu aktuellen Strömungen. Es diskutiert mathematische und philosophische Grundfragen der historischen wie der modernen Mathematik. Über Mengenlehre, Logik und Axiomatik führt es in mathematische Grundlagen ein, untersucht das Verhältnis von Wahrheit und Beweis und stellt fundamentale Ergebnisse, ungelöste und unlösbare Probleme vor.

Autonomous vehicles are increasingly prevalent, navigating both structured urban roads and challenging offroad scenes. At the core of these vehicles lie the planning and control modules, which are crucial for demonstrating the intelligence inherent in an autonomous driving system. The planning module is responsible for devising an open-loop trajectory, taking into account a variety of environmental restrictions, task-related demands, and vehicle-kinematics-related constraints, while the control module ensures adherence to this trajectory in a closed-loop manner. This adherence is vital in a range of conditions, including diverse weather scenarios, different driving situations, and in response to potential disturbances such as mechanical failures or cyber threats. In certain contexts, these modules are collectively referred to as 'control', with the planning component considered an open-loop controller. This Special Issue focuses on the latest research trends in planning and control methods for autonomous driving. It comprises 11 papers that cover a broad spectrum of applications, including occlusion-aware motion planning in warehouses, control strategies for articulated vehicles, cooperative trajectory planning for autonomous forklifts, and tracking control for underwater vehicles in the face of disturbances and uncertainties. These contributions collectively underscore the diverse and evolving nature of autonomous vehicle technology.

you ever wondered why equations dance on the page, revealing hidden patterns in the universe? "Exploring Algebra: A Journey through Equations and Formulas" welcomes you to embark on a thrilling adventure, where numbers transform into keys, unlocking the secrets of mathematics.This captivating journey will guide you through the enchanting realm of equations, where variables waltz with coefficients, and formulas become your trusty companions. You'll decipher the cryptic language of inequalities, witness the power of factorization, and witness the elegance of polynomial equations unfold.No prior knowledge required, just a curious mind! We'll begin with the fundamental building blocks, paving the way for understanding complex equations. You'll learn to solve real-world problems, decipher scientific formulas, and even create your own equations to express your ideas.¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿ ¿¿¿¿¿¿ ¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿? "¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿: ¿¿¿¿¿¿¿¿ ¿¿¿¿¿ ¿¿¿¿¿¿¿ ¿¿¿¿¿¿ ¿¿¿¿¿¿¿" ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿¿, ¿¿¿¿¿ ¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿, ¿¿¿¿ ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿.¿ ¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿, ¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿, ¿¿¿¿¿¿¿¿ ¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿. ¿¿¿ ¿¿¿¿¿¿¿ ¿¿¿¿¿ ¿¿¿¿¿ ¿¿¿¿¿¿¿, ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿ ¿¿¿¿, ¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿.¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿ ¿¿¿¿, ¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿ ¿¿¿¿ ¿¿¿¿! ¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿¿, ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿ ¿¿¿¿¿ ¿¿¿¿¿¿¿¿. ¿¿¿¿ ¿¿¿¿¿-¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿, ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿ ¿¿¿¿¿, ¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿ ¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿¿.

Der Umgang mit einem vielfältigen Heterogenitätsspektrum stellt im Mathematikunterricht verschiedener Schulformen eine zentrale Anforderung dar. Im vorliegenden Sammelband, der anlässlich des 60. Geburtstages von Petra Scherer entstanden ist, wird diese Thematik fachdidaktisch aus unterschiedlichen Perspektiven bearbeitet, indem Konzepte und Beispiele aus verschiedenen Projekten mit Fokus auf Grund- und Förderschule zur Realisierung von inklusivem Lehren und Lernen betrachtet werden. Einige Beiträge beleuchten die Entwicklung und Erforschung von Lernumgebungen, in denen die individuellen Voraussetzungen und Lernwege der Lernenden Berücksichtigung finden. Dabei können auch digitale Medien das gemeinsame Lernen unterstützen. Ein inklusionssensibler Mathematikunterricht setzt ein adäquates Diagnostizieren und Fördern durch die Lehrkräfte voraus, welche einer entsprechenden Professionalisierung bedürfen. Diese Aspekte werden in weiteren Beiträgen ebenso in der Verknüpfung von wissenschaftlicher und unterrichtspraktischer Perspektive auf die Entwicklung und Erforschung von Mathematikunterricht entfaltet.

Aus Perspektive der Mathematikdidaktik stellt das Stellenwertsystem im Lernprozess häufig eine Hürde dar, der möglichst frühzeitig begegnet werden sollte. Gleichzeitig scheint eine Hörschädigung den mathematischen Lernprozess negativ zu beeinflussen. Im Rahmen dieser Forschungsarbeit werden zum einen Design-Prinzipien sowie ein Lehr-Lernarrangement zum Zehnerübergang entwickelt, die eine Möglichkeit der frühzeitigen Anbahnung eines Stellenwertverständnisses (speziell mit Blick auf den Förderschwerpunkt Hören und Kommunikation) darstellen. Hierbei wird bewusst eine von gängigen Erarbeitungen abweichende Übergänge fokussierende Herangehensweise gewählt, die jedoch als Ergänzung zu verstehen ist und zudem im Hinblick auf den weiteren Verlauf der Lehr- und Lernprozesse anschlussfähig ist. Zum anderen werden lokale Theorien zu Lehr- und Lernprozessen am Zehnerübergang generiert. Somit bietet die Arbeit erste Einsichten zu möglichen Hürden sowie Anhaltspunkte für Hilfestellungen und Strategien zum Umgang mit Herausforderungen, insbesondere im Kontext des Förderschwerpunkts Hören und Kommunikation.

Der Buchtitel Von Eratosthenes bis Einstein deutet einen großen Bogen an, der in einer mathematischen Zeitreise durchlaufen wird. Das Buch wendet sich an Studierende und an Personen, welche mehr über die Geschichte unseres Weltbilds von der Antike bis zur Gegenwart im Zusammenhang mit den Biografien der Protagonisten erfahren wollen. In der Antike sind dies Denker, welche nach rationalen Ursachen der Naturerscheinungen fragen und rationale Antworten versuchen, und Denker, welche Philosophie, Mathematik und Astronomie zu einer ersten Blüte bringen. In der Renaissance und Neuzeit weisen Kopernikus mit dem heliozentrischen Weltbild sowie Galilei und Kepler mit einer neuen Verknüpfung von Empirie und mathematisch geprägter Theorie den Weg zu naturwissenschaftlichem Denken, vollendet Isaac Newton mit einer tieferen Begründung und Mathematisierung der Physik die kopernikanische Wende und eröffnet gleichzeitig eine Forschungs- und Wissensvielfalt ohnegleichen. Schließlich legen Planck mit der Quantentheorie und Einstein mit den beiden Relativitätstheorien die Grundlagen unseres heutigen Weltbilds, in dem die Urknalltheorie den Beginn unserer Raumzeit vor etwa 14 Milliarden Jahren anzeigt, aber auch die Frage aufkommt, ob hinter der Entwicklung des Universums, wie wir es heute verstehen, eine zielgerichtete Strategie hin zur Existenz des Menschen steckt oder ob diese Entwicklung ein bloßer Zufall äußerst geringer Wahrscheinlichkeit ist.

¿Die Signifikanz einer statistischen Aussage wird mit p bezeichnet, als probabilistische Größe. Es gibt Kritik an der Aussagekraft des p-Wertes dahin, dass er in der Statistik mitunter dahingehend missbraucht wird, dass Effektgrößen bewusst verfälscht werden. Dieser Missbrauch äußert sich darin, dass an der an der Größe und Auswahl einer Datenmenge solange manipuliert wird, bis die erwünschten Parameter erreicht werden. Diese Tätigkeit wird mit - p ¿ hacking bezeichnet. Dieses essential widmet sich der Aufklärung.

This book introduces the fundamentals of probability, statistical, and reliability concepts, the classical methods of uncertainty quantification and analytical reliability analysis, and the state-of-the-art approaches of design optimization under uncertainty (e.g., reliability-based design optimization and robust design optimization). The topics include basic concepts of probability and distributions, uncertainty quantification using probabilistic methods, classical reliability analysis methods, time-variant reliability analysis methods, fundamentals of deterministic design optimization, reliability-based design optimization, robust design optimization, other methods of design optimization under uncertainty, and engineering applications of design optimization under uncertainty.

This book keeps an eye in the direction of applications of advanced and high performance scientific computing in describing the behavior of natural and constructed systems, e.g. chaos, bifurcation, fractal, Lyapunov exponent, period doubling, Poincaré map, strange attractor etc. With the aid of powerful computers the modem theory of chaos and its geometry, the fractals, and attractors are developed. The concepts of object oriented computing are introduced early in the text and steadily expanded as one progresses through the chapters. The beginning of each chapter is of an introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on nonlinear stability and convergence.This is the first complete introduction to process modelling and computing that fully integrates software tools ¿ enabling professionals and students to master critical techniques hands on through computer simulations based on the popular MATLAB environment. The book offers a simple tool for all those oscillations that are travelling through the world, helping them discover its hidden beauty.Many applications as well as results of computer simulations are presented. The center of concern is set on existing as well as emerging continuous methods of investigations useful for researchers, engineers and practitioners active in many and often interdisciplinary fields, where physics, electrochemistry, biology and medicine play a key role. Coverage includes:¿ Dynamic behavior of nonlinear systems,¿ Fundamental descriptions of processes exhibiting nonlinear oscillations,¿ Mechanism and function of structures of nonlinear oscillations¿ patterns,¿ Analysis of dynamical oscillations in electric circuits and systems,¿ Artificial intelligence models of natural systems,¿ Nonlinear oscillations in chemistry, biologyand medicine,¿ Oscillations in mechanics and transport systems,¿ Oscillations in fractional-order systems,¿ Energy harvesting systems from the surrounding environment.With an insatiable appetite for exploring the surrounding world and doing research, this book can help readers quickly find ways to use new computers and facilitate the quest for greater knowledge and understanding of reality. The reach of novelty of the book ranges from new mathematical ideas to motivating questions and science issues in many subject areas.