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Differential Equations - Theory and Current Research

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ISBN: 9781789231564 9781789231571 Year: Pages: 182 DOI: 10.5772/intechopen.71745 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 07:51:51

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The editor has incorporated contributions from a diverse group of leading researchers in the field of differential equations. This book aims to provide an overview of the current knowledge in the field of differential equations. The main subject areas are divided into general theory and applications. These include fixed point approach to solution existence of differential equations, existence theory of differential equations of arbitrary order, topological methods in the theory of ordinary differential equations, impulsive fractional differential equations with finite delay and integral boundary conditions, an extension of Massera's theorem for n-dimensional stochastic differential equations, phase portraits of cubic dynamic systems in a Poincare circle, differential equations arising from the three-variable Hermite polynomials and computation of their zeros and reproducing kernel method for differential equations. Applications include local discontinuous Galerkin method for nonlinear Ginzburg-Landau equation, general function method in transport boundary value problems of theory of elasticity and solution of nonlinear partial differential equations by new Laplace variational iteration method. Existence/uniqueness theory of differential equations is presented in this book with applications that will be of benefit to mathematicians, applied mathematicians and researchers in the field. The book is written primarily for those who have some knowledge of differential equations and mathematical analysis. The authors of each section bring a strong emphasis on theoretical foundations to the book.

Matrix Theory - Applications and Theorems

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ISBN: 9781789234664 9781789234671 Year: Pages: 96 DOI: 10.5772/intechopen.71169 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 07:51:51

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This book reviews current research, including applications of matrices, spaces, and other characteristics. It discusses the application of matrices, which has become an area of great importance in many scientific fields. The theory of row/column determinants of a partial solution to the system of two-sided quaternion matrix equations is analyzed. It introduces a matrix that has the exponential function as one of its eigenvectors and realizes that this matrix represents finite difference derivation of vectors on a partition. Mixing problems and the corresponding associated matrices have different structures that deserve to be studied in depth. Special compound magic squares will be considered. Finally, a new type of regular matrix generated by Fibonacci numbers is introduced and we shall investigate its various topological properties.

Statistics - Growing Data Sets and Growing Demand for Statistics

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ISBN: 9781789843958 9781789843965 Year: Pages: 164 DOI: 10.5772/intechopen.72139 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 07:51:52

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Since data grows faster than ever, the role of statistics becomes more and more crucial nowadays, and there is no doubt that statistics will be even more critical in the future. The application of statistics is extensive, and in our daily lives there is almost no human activity where the use of statistics is not needed. In this limited volume, we try to cover as many as different and multidisciplinary fields in statistics as possible and aim to present recent developments and applications of statistical analysis. Therefore, this book is organized into three sections: ""The Role of Statistics on Quantification,"" ""Applications of Statistics on Economics and Development,"" and ""Applications of Statistics on Various Topics.""

Statistical Approaches With Emphasis on Design of Experiments Applied to Chemical Processes

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ISBN: 9789535138778 9789535138785 9789535139874 Year: Pages: 180 DOI: 10.5772/65616 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 09:47:12

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Optimized operating conditions for complex systems can be attained by using advanced combinations of numerical and statistical methodologies. One of the most efficient and straightforward solutions relies on the application of statistical methods with an emphasis on the design of experiments (DoEs). Throughout the book, the design and analysis of experiments are conducted involving several approaches, namely, Taguchi, response surface methods, statistical correlations, or even fractional factorial and model-based evolutionary operation designs. This book not only presents a theoretical overview about the different approaches but also contains material that covers the use of the experimental analysis applied to several chemical processes. Some chapters highlight the use of software products to assist experimenters in both the design and analysis stages. It helps graduate students, teachers, researchers, and other professionals who are interested in chemical process optimization and also provides a good basis of theoretical knowledge and valuable insights into the technical details of these tools as well as explains common pitfalls to avoid. The world's leading pharmaceutical companies and local governments are trying to achieve their eradication.

Logique, mathématiques, langue universelle : Anthologie 1893-1917

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ISBN: 9782847889956 Year: DOI: 10.4000/books.enseditions.7048 Language: French
Publisher: ENS Éditions
Subject: Mathematics
Added to DOAB on : 2019-12-06 13:15:31
License: OpenEdition Licence for Books

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Ce volume regroupe trente-neuf articles publiés entre 1893 et 1917 par le philosophe de la logique, des mathématiques et du langage que fut Louis Couturat (1868-1914). Ces articles, publiés pendant dans diverses revues, en particulier dans la Revue de métaphysique et de morale, sont ici rassemblés pour la première fois. Ils portent essentiellement sur la logique, la philosophie des mathématiques et celle du langage sous l’angle de la langue universelle. Ils illustrent aussi la vigueur du lien entre sciences et philosophie à cette époque. Ce volume n’est pas seulement intéressant pour mieux comprendre les thèses rationalistes que défendit Couturat au tournant des XIXe et XXe siècles, alors que le logicisme d’un côté, le bergsonisme de l’autre, semblaient transformer totalement la philosophie. Il fournit également un nouvel éclairage sur le mouvement des idées à la veille de la Seconde Guerre mondiale, alors que la Société française de philosophie était créée et qu’étaient organisés les premiers Congrès internationaux rassemblant des savants par-delà les frontières.

Mathematics Teacher Education in the Andean Region and Paraguay

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Book Series: SpringerBriefs in Education ISBN: 9783319975443 Year: Pages: 106 DOI: 10.1007/978-3-319-97544-3 Language: English
Publisher: Springer Nature
Subject: Education
Added to DOAB on : 2020-10-15 00:06:35
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*THIS BOOK WILL SOON BE AVAILABLE AS OPEN ACCESS BOOK* This book is an excellent synthesis of the initial and continuing preparation for Mathematics Teaching in Bolivia, Ecuador, Paraguay and Peru, from which comparative analyses can be made that show similarities and differences, and highlight various perspectives. In February 2016, the 5th Capacity and Networking Project (CANP) workshop of the International Commission on Mathematical Instruction (ICMI) was held in Lima, Peru. The coordination of this two-week workshop was undertaken by an international scientific committee (IPC), with equal participation by mathematicians and mathematics educators from the region and from the international ICMI and IMU community. The goal of CANP5 was to improve the quality of mathematics education in the region, which led to the main theme of the scientific program “Initial and Continued Teacher Education”. Country Reports on the main theme of teacher education systems for each country in this region were presented and discussed to detect common issues that might be improved through a collaborative network. One of the most important results of this event was the creation of a Mathematics Education Network, namely the Comunidad de Educación Matemática de America del Sur – CEMAS. This book brings to the international Educational Community an important collection of experiences and ideas in the Mathematics Education of four Latin-American countries in the developing Andean region and Paraguay. The dissemination of these results can promote the search for international collaborative actions in a wider scale.

Building the Foundation: Whole Numbers in the Primary Grades: The 23rd ICMI Study

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Book Series: New ICMI Study Series ISSN: 1387-6872 ISBN: 9783319635545 9783319635552 Year: Pages: 536 DOI: https://doi.org/10.1007/978-3-319-63555-2 Language: English
Publisher: Springer Nature Grant: International Commission on Mathematical Instruction (ICMI); International Mathematical Union (IMU)
Subject: Education --- Mathematics
Added to DOAB on : 2018-06-22 15:48:51
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This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.

Actuarial and Financial Risks in Life Insurance, Pensions and Household Finance

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ISBN: 9783038427308 9783038427292 Year: Pages: 164 DOI: 10.3390/books978-3-03842-729-2
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Business and Management
Added to DOAB on : 2018-03-16 13:44:41
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The recent regulatory changes, together with the increasing awareness of the variety of sources of uncertainty that affect the activities of insurance and pension funds, have generated increasing attention towards insurance risk management theory and practice. Against this background, this Special Issue collects relevant contributions on a variety of issues encompassing longevity risk modelling, solvency requirements, risk management, and risk sharing. This collection of papers provides insights, from both a theoretical and a practical perspective, into the modeling and management of actuarial and financial risks for institutions and households.

Gender and STEM: Understanding Segregation in Science, Technology, Engineering and Mathematics

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ISBN: 9783038971474 9783038971481 Year: Pages: 284 DOI: 10.3390/books978-3-03897-148-1 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Sociology --- Arts in general --- Social Sciences
Added to DOAB on : 2018-12-06 09:20:30
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This volume features thirteen original chapters on the causes and consequences of gender segregation in scientific, technical, engineering, and mathematics (“STEM”) occupations and fields of study. Although women have made great strides in equalizing access to labor markets and higher education, many STEM fields—particularly in the physical sciences and engineering—remain strongholds of gender segregation in the United States and other reputably gender-progressive societies. Policymakers, business leaders and activists have launched countless initiatives to diversify access to lucrative, high status occupations and ameliorate labor shortages that diminish innovation and competitiveness.Contributors to this volume apply diverse theoretical lenses and methodological approaches to understand the individual, interactional, organizational, and cultural dynamics that drive this segregation in the United States. Results show that the gender composition of scientific and technical fields varies a great deal over time and across organizational contexts and socio-demographic groups defined by race, ethnicity, class, and sexuality. But despite this variability, STEM work and STEM workers are widely presumed to be naturally and inevitably masculine. Research presented here reveals how these stereotypes combine with cultural beliefs about natural and fundamental differences between men and women to produce gendered aspirations and reinforce inequalities in the US scientific and technical workforce.

Keywords

Gender --- STEM --- Science --- Engineering --- Mathematics --- Segregation --- Inequality --- Women --- Men --- Race/ethnicity --- Sexuality

Mathematics for Healthcare

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Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889455775 Year: Pages: 284 DOI: 10.3389/978-2-88945-577-5 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Physiology
Added to DOAB on : 2019-01-23 14:53:43
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In 1996, and with extraordinary prescience, Panfilov and Holden had highlighted in their seminal book 'Computational Biology of the Heart' that biology was, potentially, the most mathematical of all sciences. Fast-forward 20 years and we have seen an explotion of applications of mathematics in not only biology, but healthcare that has already produced significant breakthroughs not imaginable more than 20 years ago. Great strides have been made in explaining through quantitative methods the underlying mechanisms of human disease, not without considerable ingenuity and effort. Biological mechanisms are bewildering: complex, ever evolving, multi-scale, variable, difficult to fully access and understand. This poses immense challenges to the computational physiology community that, nevertheless, has developed an impressive arsenal of tools and methods in a vertiginous race to combat disease with the tall order of improving human healthcare. Mechanistic models are now contending with the advent of machine learning in healthcare and the hope is that both approaches will be used synergistically since the complexity of human patophysiology and the difficulty of acquiring human datasets will require both, deductive and inductive methods. This Research Topic presents work that is currently at the frontier in computational physiology with a striking range of applications, from diabetes to graft failure and using a multitude of mathematical tools. This collection of articles represents a snapshot in a field that is moving a dizzying speed, bringing understanding of fundamental mechanism and solutions to healthcare problems experienced by healthcare systems all over the world.

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