This book constitutes the refereed proceedings of the 25th International Symposium on Mathematical Foundations of Computer Science, MFCS 2000, held in Bratislava/Slovakia in August/September 2000. The 57 revised full papers presented together with eight invited papers were carefully reviewed and selected from a total of 147 submissions. The book gives an excellent overview on current research in theoretical informatics. All relevant foundational issues, from mathematical logics as well as from discrete mathematics are covered. Anybody interested in theoretical computer science or the theory of computing will benefit from this book.
Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming.
As the world population grows, already burgeoning cities are becoming taxed in every conceivable way. One topic that receives few headlines, but significantly impacts an area's quality of health and economic development is the challenge to maintain sustainable urban drainage (SUD). Poor drainage can hamper transportation, add to problems of polluti
Control systems have come to play an important role in the performance of modern vehicles with regards to meeting goals on low emissions and low fuel consumption. To achieve these goals, modeling, simulation, and analysis have become standard tools for the development of control systems in the automotive industry. Modeling and Control of Engines and Drivelines provides an up-to-date treatment of the topic from a clear perspective of systems engineering and control systems, which are at the core of vehicle design. This book has three main goals. The first is to provide a thorough understanding of component models as building blocks. It has therefore been important to provide measurements from real processes, to explain the underlying physics, to describe the modeling considerations, and to validate the resulting models experimentally. Second, the authors show how the models are used in the current design of control and diagnosis systems. These system designs are never used in isolation, so the third goal is to provide a complete setting for system integration and evaluation, including complete vehicle models together with actual requirements and driving cycle analysis. Key features: Covers signals, systems, and control in modern vehicles Covers the basic dynamics of internal combustion engines and drivelines Provides a set of standard models and includes examples and case studies Covers turbo- and super-charging, and automotive dependability and diagnosis Accompanied by a web site hosting example models and problems and solutions Modeling and Control of Engines and Drivelines is a comprehensive reference for graduate students and the authors’ close collaboration with the automotive industry ensures that the knowledge and skills that practicing engineers need when analysing and developing new powertrain systems are also covered.
Harness the power of SQL Server, Microsoft’s high-performance database and data analysis software package, by accesing everything you need to know in Microsoft SQL Server 2008 Bible. Learn the best practices, tips, and tricks from this comprehensive tutorial and reference, which includes specific examples and sample code, with nearly every task demonstrated in both a graphical and SQL code method. Understand how to develop SQL Server databases and data connections, how to administer the SQL Server and keep databases performing optimally, and how to navigate all the new features of the 2008 release.
Econometric Modeling provides a new and stimulating introduction to econometrics, focusing on modeling. The key issue confronting empirical economics is to establish sustainable relationships that are both supported by data and interpretable from economic theory. The unified likelihood-based approach of this book gives students the required statistical foundations of estimation and inference, and leads to a thorough understanding of econometric techniques. David Hendry and Bent Nielsen introduce modeling for a range of situations, including binary data sets, multiple regression, and cointegrated systems. In each setting, a statistical model is constructed to explain the observed variation in the data, with estimation and inference based on the likelihood function. Substantive issues are always addressed, showing how both statistical and economic assumptions can be tested and empirical results interpreted. Important empirical problems such as structural breaks, forecasting, and model selection are covered, and Monte Carlo simulation is explained and applied. Econometric Modeling is a self-contained introduction for advanced undergraduate or graduate students. Throughout, data illustrate and motivate the approach, and are available for computer-based teaching. Technical issues from probability theory and statistical theory are introduced only as needed. Nevertheless, the approach is rigorous, emphasizing the coherent formulation, estimation, and evaluation of econometric models relevant for empirical research.
Integrating recent research on the physiology and modelling of bioreactions and bioreactors, the authors present a comprehensive, unified introduction to the principles and practices of the field. The work features nearly 100 detailed design examples and problems, many of which are suitable for hands-on demonstrations on a personal computer or for expanded research. The text will serve as a highly instructive guide for students in bioengineering and biotechnology, as well as biochemical, chemical, and environmental engineering.
Use this comprehensive tutorial and reference to increase productivity and write stored procedures using the language with which you're most familiar. The revised content covers new features such as XML integration, Web services, the .NET Common Language Runtime (CLR), and security updates, making this book a must for any developer or database administrator transitioning to the new version of SQL Server. You'll learn to develop SQL Server database and data connections, administer SQL Server, and keep databases performing at their peak. In addition, you'll find dozens of specific examples in both a graphical format and as SQL code as well as numerous best practices describing the most effective way to accomplish a given task. A companion Web site provides all of the code examples found in the book.
Colt Stanton has just fallen in love with Molly when he finds out his family is responsible for inadvertently releasing a killer fish into a New York State river. Together, they try to save the populace from flesh-eating fish while also finding their way through their new romance.
Available online: https://pub.norden.org/temanord2023-548/ Evaluation of air quality monitoring in Nordic countries with a comparison between measurement data and the former and new WHO AQG is carried out for rural, urban background and street stations in 13 selected cities in 2021. Projection of air quality for 2030 for Nordic countries and 13 selected cities based on air quality modelling. Sector specific contribution to air quality in 2030 for the five Nordic capital cities based on air quality modelling and modelling of health effects and related external costs.
Once again the Immortal Guardian, Saul, is called upon to save two mortals he is assigned to watch over, protecting them from the Dark Being, Roman, Saul’s counterpart from the dark side, as he tries to derail destinies written by the Fates and followed since birth. Beautiful, young model Abby Mathews moved to the small town of Winston, Nebraska, as her destiny ordered. She flourished, and she was accepted as one of the town’s own. Tall, handsome Balthazar Hix grew up in Winston, a man as beautiful on the inside as the outside. It was no surprise he made women’s hearts beat a little faster, trying to capture his attention, wanting to claim him for their own. Living in the small town, it was inevitable that the two should meet and, following destiny’s path, fall in love. But all it would take was whispers, Dark Whispers, for chaos to be let loose, and lives would be changed forever. Roman laughed with twisted glee as he planted seeds of hatred and distrust in human ears. Before long, hunger for revenge and murder was born. It grew, ripened, until Roman was ready for harvest—the harvest was murder!
Historicizing both emotions and politics, this open access book argues that the historical work of emotion is most clearly understood in terms of the dynamics of institutionalization. This is shown in twelve case studies that focus on decisive moments in European and US history from 1800 until today. Each case study clarifies how emotions were central to people’s political engagement and its effects. The sources range from parliamentary buildings and social movements, to images and speeches of presidents, from fascist cemeteries to the International Criminal Court. Both the timeframe and the geographical focus have been chosen to highlight the increasingly participatory character of nineteenth- and twentieth-century politics, which is inconceivable without the work of emotions.
First published in 1984, Limit Analysis and Concrete Plasticity explains for advanced design engineers the principles of plasticity theory and its application to the design of reinforced and prestressed concrete structures, providing a thorough understanding of the subject, rather than simply applying current design formulas. Updated and revised th
Colt and Molly, intensely in love, face devastating horror with grace and humor while fighting to contain a truly horrendous invasive species. Passion and Pandemonium is a very timely novel-sized work that mixes romance and humor with the stark terror of a believable monster story. It is timely because killer snakeheads imported from China have been found in a Maryland pond and the Potomac River. This is not a giant alligator in my basement type of tale. Ecocidae Gigas Dentire or Giant Toothed Pike were thought to be extinct although Inuit people have tried for years to tell the Kabloona (White Man) about what they call The Qaakil; sixteen-foot monsters found in some remote lakes of the far north. Those stories were dismissed as folklore. The Stanton family takes a brave and principled stance when they realize they are responsible for importing these monsters into New York State waterways. Colt and Molly will experience horrifying situations including attempted murder as they work to contain these monsters while at the same time discovering the joys of newfound love.
Metabolic engineering is a new field with applications in the production of chemicals, fuels, materials, pharmaceuticals, and medicine at the genetic level. The field's novelty is in the synthesis of molecular biology techniques and the tools of mathematical analysis, which allow rational selection of targets for genetic modification through measurements and control of metabolic fluxes. The objective is to identify specific genetics or environmental manipulations that result in improvements in yield and productivities of biotechnological processes. Key features of the book are pathway integration and the focus on metabolic flux as a fundamental determinant of cell physiology. The book keeps mathematical complexity to a minimum, and provides a glossary of biological terms to facilitate use of the book by a broader spectrum of readers. A web page exists to communicate updates of the codes and homework problems. - Demonstrates metabolic engineering in action with numerous examples of pathway modification - Includes methods for identifying key enzymes in metabolic networks - Contains a comprehensive review of metabolic biochemistry - Discusses metabolic regulation at the gene, enzyme, operon, and cell levels - Explains concepts of stoichiometry, kinetics, and thermodynamics of metabolic pathways - Minimizes mathematical complexity - Links to a Web page to communicate updates of the software code and homework problems
This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas. The full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatment on statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data. Aimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.
In the decades between German unification and the demise of the Weimar Republic, German Jewry negotiated their collective and individual identity under the impression of legal emancipation, continued antisemitism, the emergence of Zionism and Socialism, the First World War, and revolution and the republic. For many German Jews liberalism and also increasingly Socialism became attractive propositions. Yet conservative parties and political positions right-of-center also held appeal for some German Jews. Between Heimat and Hatred studies German Jews involved in ventures that were from the beginning, or became increasingly, of the Right. Jewish agricultural settlement, Jews' participation in the so-called "Defense of Germandom in the East", their place in military and veteran circles and finally right-of-center politics form the core of this book. These topics created a web of social activities and political persuasions neither entirely conservative nor entirely liberal. For those German Jews engaging with these issues, their motivation came from sincere love of their German Heimat-a term for home imbued with a deep sense of belonging-and from their middle-class environment, as well as to repudiate antisemitic stereotypes of rootlessness, intellectualism or cosmopolitanism. This tension stands at the heart of the book. The book also asks when did the need for self-defense start to outweigh motivations of patriotism and class? Until when could German Jews espouse views to the right of the political spectrum without appearing extreme to either Jews or non-Jews? In an exploration of identity and exclusion, Philipp Nielsen locates the moments when active Jewish members of conservative projects became the radical other. He notes that the decisive stage of the transformation of the German Right occurred precisely during a period of republican stabilization, when even mainstream right-of-center politics abandoned the state-centric, Volk-based ethnic concepts of the Weimar republic. The book builds on recent studies of Jews' relation to German nationalism, the experience of German Jews away from the large cities, and the increasing interest in Germans' obsession with regional roots and the East. The study follows these lines of inquiry to investigate the participation of some German Jews in projects dedicated to originally, or increasingly, illiberal projects. As such it shines light on an area in which Jewish participation has thus far only been treated as an afterthought and illuminates both Jewish and German history afresh.
This book constitutes the strictly refereed post-workshop proceedings of the 11th International Workshop on Computer Science Logic, CSL '97, held as the 1997 Annual Conference of the European Association on Computer Science Logic, EACSL, in Aarhus, Denmark, in August 1997. The volume presents 26 revised full papers selected after two rounds of refereeing from initially 92 submissions; also included are four invited papers. The book addresses all current aspects of computer science logics and its applications and thus presents the state of the art in the area.
Written by two of the most respected, experienced and well-known researchers and developers in the field (e.g., Kiencke worked at Bosch where he helped develop anti-breaking system and engine control; Nielsen has lead joint research projects with Scania AB, Mecel AB, Saab Automobile AB, Volvo AB, Fiat GM Powertrain AB, and DaimlerChrysler. Reflecting the trend to optimization through integrative approaches for engine, driveline and vehicle control, this valuable book enables control engineers to understand engine and vehicle models necessary for controller design and also introduces mechanical engineers to vehicle-specific signal processing and automatic control. Emphasis on measurement, comparisons between performance and modelling, and realistic examples derive from the authors’ unique industrial experience . The second edition offers new or expanded topics such as diesel-engine modelling, diagnosis and anti-jerking control, and vehicle modelling and parameter estimation. With only a few exceptions, the approaches
This is a brand new edition of an essential work on Bayesian networks and decision graphs. It is an introduction to probabilistic graphical models including Bayesian networks and influence diagrams. The reader is guided through the two types of frameworks with examples and exercises, which also give instruction on how to build these models. Structured in two parts, the first section focuses on probabilistic graphical models, while the second part deals with decision graphs, and in addition to the frameworks described in the previous edition, it also introduces Markov decision process and partially ordered decision problems.
Limit Analysis and Concrete Plasticity, Second Edition covers the most relevant topics related to plastic design methods, providing a reliable and superior alternative to existing empirical methods. Fully updated and containing more extensive coverage, this second edition includes numerical methods and computer code for solving problems, incorporating methods into Eurocode 2 - the common concrete standard for the whole of Europe. This edition: Emphasizes practical design, treating almost all the elementary concrete mechanics problems in such a way that the solutions may be directly applied by the designer Details the fundamental problems associated with so-called effectiveness factors Covers many new solutions to specific problems, including concentrated forces, shear walls and deep beams, beams with normal forces and torsional moments, and solutions dealing with membrane effects in slabs Simplifies the treatment of shear in beams and slabs without shear reinforcement or with a modicum of shear reinforcement Extends the chapters on joints and bond strength, showing how plastic theory offers reasonable solutions for most structural problems in reinforced concrete Limit Analysis and Concrete Plasticity explains the basic principles of plasticity theory and its application to the design of reinforced and prestressed concrete structures, providing a thorough understanding of the subject, rather than simply applying current design codes. This scientific understanding of the subject enables the design student or engineer to solve problems more effectively and safely.
Expert Oracle Application Express brings you groundbreaking insights into developing with Oracle’s enterprise-level, rapid-development tool from some of the best practitioners in the field today. Oracle Application Express (APEX) is an entirely web-based development framework that is built into every edition of Oracle Database. The framework rests upon Oracle’s powerful PL/SQL language, enabling power users and developers to rapidly develop applications that easily scale to hundreds, even thousands of concurrent users. The 13 authors of Expert Oracle Application Express build their careers around APEX. They know what it takes to make the product sing—developing secure applications that can be deployed globally to users inside and outside a large enterprise. The authors come together in this book to share some of their deepest and most powerful insights into solving the difficult problems surrounding scalability, globalization, configuration and lifecycle management, and more. You’ll learn about debugging and performance, deep secrets to customizing your application user interface, how to secure applications from intrusion, and about deploying globally in multiple languages. Expert Oracle Application Express is truly a book that will move you and your skillset a big step towards the apex of Application Express development. Presents best-practices and development insights from leading experts in the field Addresses globalization, scalability, security, and other concerns of enterprise-level development Shows how to customize APEX for your own application needs
Metal Forming: Formability, Simulation, and Tool Design focuses on metal formability, finite element modeling, and tool design, providing readers with an integrated overview of the theory, experimentation and practice of metal forming. The book includes formability and finite element topics, including insights on plastic instability, necking, nucleation and coalescence of voids. Chapters discuss the finite element method, including its accuracy, reliability and validity and finite element flow formulation, helping readers understand finite element formulations, iterative solution methods, friction and contact between objects, and other factors. The book's final sections discuss tool design for cold, warm and hot forming processes. Examples of tools, design guidelines, and information related to tool materials, lubricants, finishes, and tool failure are included as well. - Provides fundamental, integrated knowledge on metal formability, finite element topics and tool design - Outlines user perspectives on accuracy, reliability and validity of finite element modeling - Discusses examples of tools, their design guidelines, tool lubricants, and tool failure - Considers the role played by stress triaxiality and shear and introduces uncoupled ductile damage criteria - Includes applications, worked examples and detailed techniques
Time series data analysis is increasingly important due to the massive production of such data through the internet of things, the digitalization of healthcare, and the rise of smart cities. As continuous monitoring and data collection become more common, the need for competent time series analysis with both statistical and machine learning techniques will increase. Covering innovations in time series data analysis and use cases from the real world, this practical guide will help you solve the most common data engineering and analysis challengesin time series, using both traditional statistical and modern machine learning techniques. Author Aileen Nielsen offers an accessible, well-rounded introduction to time series in both R and Python that will have data scientists, software engineers, and researchers up and running quickly. You’ll get the guidance you need to confidently: Find and wrangle time series data Undertake exploratory time series data analysis Store temporal data Simulate time series data Generate and select features for a time series Measure error Forecast and classify time series with machine or deep learning Evaluate accuracy and performance
This book describes a new tool called the Generic Model System for simulations and assessment of potential radioactive spreading in the Arctic regions. It considers the present and future potential for spreading of radionuclear pollution from sources such as from the major Russian processing plants as well as from European sources such as the UK Sellafield plant. The book combines the expertise of professionals from the radionuclear and climate-change sciences.
This book is intended as a useful handbook for professionals and researchers in the areas of Physical Oceanography, Marine Geology, Coastal Geomorphology and Coastal Engineering and as a text for graduate students in these fields. With its emphasis on boundary layer flow and basic sediment transport modelling, it is meant to help fill the gap between general hydrodynamic texts and descriptive texts on marine and coastal sedimentary processes. The book commences with a review of coastal bottom boundary layer flows including the boundary layer interaction between waves and steady currents. The concept of eddy viscosity for these flows is discussed in depth because of its relation to sediment diffusivity. The quasi-steady processes of sediment transport over flat beds are discussed. Small scale coastal bedforms and the corresponding hydraulic roughness are described. The motion of suspended sand particles is studied in detail with emphasis on the possible suspension maintaining mechanisms in coastal flows. Sediment pickup functions are provided for unsteady flows. A new combined convection-diffusion model is provided for suspended sediment distributions. Different methods of sediment transport model building are presented together with some classical models.
Part Nine in the Fishes of the Western North Atlantic series describes in two volumes 180 species in 85 genera (19 families) of eels and related gulper eels found in the western and mid-Atlantic, and the unique larvae known as leptocephali (168 species). Specialist authorships of its sections include detailed species descriptions with keys, life history and general habits, abundance, range, and relation to human activity, such as economic and sporting importance. The text is written for an audience of amateur and professional ichthyologists, sportsmen, and fishermen, based on new revisions, original research, and critical reviews of existing information. Species are illustrated by exceptional black and white line drawings, accompanied by distribution maps and tables of meristic data.
Global history records an astonishing variety of forms of social organization. Yet almost universally, males subordinate females. How does the relationship between men and women shape the wider political order? The First Political Order is a groundbreaking demonstration that the persistent and systematic subordination of women underlies all other institutions, with wide-ranging implications for global security and development. Incorporating research findings spanning a variety of social science disciplines and comprehensive empirical data detailing the status of women around the globe, the book shows that female subordination functions almost as a curse upon nations. A society’s choice to subjugate women has significant negative consequences: worse governance, worse conflict, worse stability, worse economic performance, worse food security, worse health, worse demographic problems, worse environmental protection, and worse social progress. Yet despite the pervasive power of social and political structures that subordinate women, history—and the data—reveal possibilities for progress. The First Political Order shows that when steps are taken to reduce the hold of inequitable laws, customs, and practices, outcomes for all improve. It offers a new paradigm for understanding insecurity, instability, autocracy, and violence, explaining what the international community can do now to promote more equitable relations between men and women and, thereby, security and peace. With comprehensive empirical evidence of the wide-ranging harm of subjugating women, it is an important book for security scholars, social scientists, policy makers, historians, and advocates for women worldwide.
Authoritative resource describing the artificial intelligence and advanced technologies in smart power systems with simulation examples and case studies Artificial Intelligence-based Smart Power Systems presents advanced technologies used in various aspects of smart power systems, especially grid-connected and industrial evolution, covering many new topics such as distribution Phasor management, blockchain technologies for smart power systems, the application of deep learning and reinforced learning, and artificial intelligence techniques. The text also explores the potential consequences of artificial intelligence and advanced technologies in smart power systems in the forthcoming years. To enhance and reinforce learning, the highly qualified editors include many learning resources throughout the text, including MATLAB and HIL codes, end-of-chapter problems, end-of-book solutions, practical examples, and case studies. Artificial Intelligence-based Smart Power Systems includes specific information on topics such as: Modeling and analysis of smart power systems, covering steady state analysis, dynamic analysis, voltage stability, and more Recent advancement in power electronics for smart power systems, covering power electronic converters for renewable energy sources, electric vehicles, and HDVC/FACTs Distribution Phasor Measurement Units (PMU) in smart power systems, covering the need for PMU in distribution and automation of system reconfigurations Power and energy management systems for microgrids Engineering colleges and universities, along with industry research centers, can use the in-depth subject coverage and the extensive supplementary learning resources found in Artificial Intelligence-based Smart Power Systems to gain a holistic understanding of the subject and be able to harness that knowledge within a myriad of practical applications.
This is the first ever documented study of the 1,035 identifiable Greek city states (poleis) of the Archaic and Classical periods (c.650-325 BC). Previous studies of the Greek polis have focused on Athens and Sparta, and the result has been a view of Greek society dominated by Sophokles', Plato's, and Demosthenes' view of what the polis was. This study includes descriptions of Athens and Sparta, but its main purpose is to explore the history andorganization of the thousand other city states.The main part of the book is a regionally organized inventory of all identifiable poleis covering the Greek world from Spain to the Caucasus and from the Crimea to Libya. This inventory is the work of 47 specialists, and is divided into 46 chapters, each covering a region. Each chapter contains an account of the region, a list of second-order settlements, and an alphabetically ordered description of the poleis. This description covers such topics as polis status,territory, settlement pattern, urban centre, city walls and monumental architecture, population, military strength, constitution, alliance membership, colonization, coinage, and Panhellenic victors.The first part of the book is a description of the method and principles applied in the construction of the inventory and an analysis of some of the results to be obtained by a comparative study of the 1,035 poleis included in it. The ancient Greek concept of polis is distinguished from the modern term `city state', which historians use to cover many other historic civilizations, from ancient Sumeria to the West African cultures absorbed by the nineteenth-century colonializingpowers. The focus of this project is what the Greeks themselves considered a polis to be.
Engaging with discussions surrounding the culture of disease, Disrupting Breast Cancer Narratives explores politically insistent narratives of illness. Resisting the optimism of pink ribbon culture, these stories use anger as a starting place to reframe cancer as a collective rather than an individual problem. Disrupting Breast Cancer Narratives discusses the ways emotion, gender, and sexuality, in relation to breast cancer diagnosis and treatment, all become complicated, relational, and questioning. Providing theoretically informed close-readings of breast cancer narratives, this study explores how disruption functions both personally and politically. Highlighting a number of contributors in the field of health and gender studies including Barbara Ehrenreich, Kathlyn Conway, Audre Lorde, and Teva Harrison, this work takes into account documentary film, television, and social media as popular mediums used to explore stories of disease.
The present text is a complete revision of the 2nd edition from 2003 of the book with the same title. In recognition of the fast pace at which biotechnology is moving we have rewritten several chapters to include new scientific progress in the field from 2000 to 2010. More important we have changed the focus of the book to support its use, not only in universities, but also as a guide to design new processes and equipment in the bio-industry. A new chapter has been included on the prospects of the bio-refinery to replace many of the oil- and gas based processes for production of especially bulk chemicals. This chapter also serves to make students in Chemical Engineering and in the Bio-Sciences enthusiastic about the whole research field. As in previous editions we hope that the book can be used as textbook for classes, even at the undergraduate level, where chemical engineering students come to work side by side with students from biochemistry and microbiology. To help the chemical engineering students Chapter 1 includes a brief review of the most important parts of microbial metabolism. In our opinion this review is sufficient to understand microbial physiology at a sufficiently high level to profit from the rest of the book. Likewise the bio-students will not be overwhelmed by mathematics, but since the objective of the book is to teach quantitative process analysis and process design at a hands-on level some mathematics and model analysis is needed. We hope that the about 100 detailed examples and text notes, together with many instructive problems will be sufficient to illustrate how model analysis is used, also in Bio-reaction Engineering.
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