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If You Were a Minus Sign (Math Fun)
by Francesca Carabelli Trisha Speed ShaskanWhat could you do if you were a minus sign? You could subtract one number from another. You could subtract food and balloons. In every problem, you would find the difference. Discover even more answers in this installment of the bestselling MATH FUN series by Trisha Speed Shaskan! With creative examples, easy-to-understand text, and engaging art, these entertaining and educational picture books books are perfect for young math lovers to read aloud or read alone.
Ignorance and Uncertainty (Econometric Society Monographs #61)
by Olivier Compte Andrew PostlewaiteBorn of a belief that economic insights should not require much mathematical sophistication, this book proposes novel and parsimonious methods to incorporate ignorance and uncertainty into economic modeling, without complex mathematics. Economics has made great strides over the past several decades in modeling agents' decisions when they are incompletely informed, but many economists believe that there are aspects of these models that are less than satisfactory. Among the concerns are that ignorance is not captured well in most models, that agents' presumed cognitive ability is implausible, and that derived optimal behavior is sometimes driven by the fine details of the model rather than the underlying economics. Compte and Postlewaite lay out a tractable way to address these concerns, and to incorporate plausible limitations on agents' sophistication. A central aspect of the proposed methodology is to restrict the strategies assumed available to agents.
Iitaka Conjecture: An Introduction (SpringerBriefs in Mathematics)
by Osamu FujinoThe ambitious program for the birational classification of higher-dimensional complex algebraic varieties initiated by Shigeru Iitaka around 1970 is usually called the Iitaka program. Now it is known that the heart of the Iitaka program is the Iitaka conjecture, which claims the subadditivity of the Kodaira dimension for fiber spaces. The main purpose of this book is to make the Iitaka conjecture more accessible. First, Viehweg's theory of weakly positive sheaves and big sheaves is described, and it is shown that the Iitaka conjecture follows from the Viehweg conjecture. Then, the Iitaka conjecture is proved in some special and interesting cases. A relatively simple new proof of Viehweg's conjecture is given for fiber spaces whose geometric generic fiber is of general type based on the weak semistable reduction theorem due to Abramovick–Karu and the existence theorem of relative canonical models by Birkar–Cascini–Hacon–McKernan. No deep results of the theory of variations of Hodge structure are needed. The Iitaka conjecture for fiber spaces whose base space is of general type is also proved as an easy application of Viehweg's weak positivity theorem, and the Viehweg conjecture for fiber spaces whose general fibers are elliptic curves is explained. Finally, the subadditivity of the logarithmic Kodaira dimension for morphisms of relative dimension one is proved. In this book, for the reader's convenience, known arguments as well as some results are simplified and generalized with the aid of relatively new techniques.
Il concetto di curvatura: Genesi, sviluppo e intreccio fisico-matematico (UNITEXT #146)
by Franco CardinQuesto breve libro propone con uno spirito via via d’immagine storiografica e di dettaglio matematico, la nascita e l’evoluzione del concetto di curvatura: le sue origini ancestrali nella meccanica, nell’astronomia, nella geodesia, e infine, chiaramente nella geometria. Gli aspetti tecnici, a volte estremamente semplici, altre volte complessi, sono sempre accompagnati da spiegazioni che si sperano esaurienti.È ben noto che su entrambi i versanti culturali proposti nel libro, molto si è scritto e ad altissimo livello; qui, c’è un tentativo di sintesi, della storiografia e della matematica sul tema della curvatura. Il racconto del filo che intercorre tra Huygens, Gauss, Riemann, Christoffel, Ricci Curbastro, Levi-Civita e infine Einstein, è stato sicuramente già ben proposto sul versante puramente storico o in quello prettamente matematico: è una speranza che la narrazione qui presentata, con questi punti di vista intrecciati, sia infine soddisfacente. Il tentativo andava fatto. L’augurio forte è che gli argomenti narrati risultino coinvolgenti per il lettore, spingendolo ad esplorare autonomamente altri aspetti magari nascosti nelle pieghe della nozione di curvatura e del mondo che ci vive attorno. Il volume muove inizialmente dal racconto di qualche frammento di cosmologia antica e medioevale. Tutto ciò è solo apparentemente estraneo al corpo vivo della materia: ritroveremo per esempio che la concezione cosmologica di Dante, riassunta qui matematicamente, propose un universo come un’ipersfera 3-dimensionale che, quasi incidentalmente, risulterà proprio il modello cosmologico offerto da Einstein nel 1917 per il suo universo chiuso e statico. Ed è proprio la curvatura che domina quella scena, oggetto matematico protagonista della teoria della relatività generale einsteniana. I personaggi prima elencati vengono comunque narrati anche nelle loro salienti vicende umane, a volte altamente drammatiche, come accadde per esempio per Riemann e Tullio Levi-Civita. In un certo senso, la storia della curvatura accompagna la storia dell’umanità.Benché inizialmente sia stato generato da un disegno didattico, il volume è indirizzato ad un pubblico non necessariamente studentesco, con una cultura scientifica di base.
Illinois Math Connects: Concepts, Skills, And Problems Solving, Course 2
by Mcgraw-Hill StaffMath Connects: Concepts, Skills, and Problem Solving was written by the authorship team with the end results in mind. They looked at the content needed to be successful in Geometry and Algebra and backmapped the development of mathematical content, concepts, and procedures to PreK to ensure a solid foundation and seamless transition from grade level to grade level. The series is organized around the new NCTM Focal Points and is designed to meet most state standards. Math Connects focuses on three key areas of vocabulary to build mathematical literacy, intervention options aligned to RtI, and a comprehensive assessment system of diagnostic, formative, and summative assessments.
Illuminating Statistical Analysis Using Scenarios and Simulations
by Jeffrey E. KottemannFeatures an integrated approach of statistical scenarios and simulations to aid readers in developing key intuitions needed to understand the wide ranging concepts and methods of statistics and inference Illuminating Statistical Analysis Using Scenarios and Simulations presents the basic concepts of statistics and statistical inference using the dual mechanisms of scenarios and simulations. This approach helps readers develop key intuitions and deep understandings of statistical analysis. Scenario-specific sampling simulations depict the results that would be obtained by a very large number of individuals investigating the same scenario, each with their own evidence, while graphical depictions of the simulation results present clear and direct pathways to intuitive methods for statistical inference. These intuitive methods can then be easily linked to traditional formulaic methods, and the author does not simply explain the linkages, but rather provides demonstrations throughout for a broad range of statistical phenomena. In addition, induction and deduction are repeatedly interwoven, which fosters a natural "need to know basis" for ordering the topic coverage. Examining computer simulation results is central to the discussion and provides an illustrative way to (re)discover the properties of sample statistics, the role of chance, and to (re)invent corresponding principles of statistical inference. In addition, the simulation results foreshadow the various mathematical formulas that underlie statistical analysis. In addition, this book: • Features both an intuitive and analytical perspective and includes a broad introduction to the use of Monte Carlo simulation and formulaic methods for statistical analysis • Presents straight-forward coverage of the essentials of basic statistics and ensures proper understanding of key concepts such as sampling distributions, the effects of sample size and variance on uncertainty, analysis of proportion, mean and rank differences, covariance, correlation, and regression • Introduces advanced topics such as Bayesian statistics, data mining, model cross-validation, robust regression, and resampling • Contains numerous example problems in each chapter with detailed solutions as well as an appendix that serves as a manual for constructing simulations quickly and easily using Microsoft® Office Excel® Illuminating Statistical Analysis Using Scenarios and Simulations is an ideal textbook for courses, seminars, and workshops in statistics and statistical inference and is appropriate for self-study as well. The book also serves as a thought-provoking treatise for researchers, scientists, managers, technicians, and others with a keen interest in statistical analysis. Jeffrey E. Kottemann, Ph.D., is Professor in the Perdue School at Salisbury University. Dr. Kottemann has published articles in a wide variety of academic research journals in the fields of business administration, computer science, decision sciences, economics, engineering, information systems, psychology, and public administration. He received his Ph.D. in Systems and Quantitative Methods from the University of Arizona.
Illusions of Seeing: Exploring the World of Visual Perception
by Thomas DitzingerWhy do we need two eyes? Why are all cats grey at night and appear to move faster the day? Why is the sky blue and the setting sun red? This book explains the multifaceted nature of perception, and discusses the mysteries of vision. It provides readers with experiments to help them discover optical illusions and the features of their own perception. Illusions of Seeing begins with a discussion on the essence of light and its perception to the human eye. It presents a comprehensive overview of the basic laws of human perception as well as the fundamentals of good gestalt. Subsequent chapters discuss geometric-optical illusions; the perception of form, brightness, and translucency and their interaction with each other; ambiguous perception, color vision, spatial vision. The book ends with a discussion of the perception of motion and its interaction with color, form, and spatial depth with a full chapter devoted to illusions in our everyday life. Consider this your travel guide in the marvelous world of sight, to experience a completely individual way to understand and improve your own perception.Illusions of Seeing will be of interest to psychologists, physicists, biologists, and undergraduate and graduate students within the field of cognitive psychology.
Illustrating Digital Innovations Towards Intelligent Fashion: Leveraging Information System Engineering and Digital Twins for Efficient Design of Next-Generation Fashion (Information Systems Engineering and Management #18)
by Pethuru Raj Alvaro Rocha Pushan Kumar Dutta C. Prakash Michele FioriniThis book presents the mass manufacturing and manifestation of smart clothes that have decisively kick-started the fashion industry With the flourishing of edge and digitization technologies, every tangible thing in and around us is all set to become digitized. The arrival of advanced communication and digitalization technologies has made any digitized entity to be connected and cognitive. With this transition, the textile industry is strategizing to leverage the improvisations being accomplished in the digital era to design, develop, and deliver digitally enabled dresses and clothes. Smart attires are fabrics bedded with ultrathin, flexible and transparent detectors, selectors, electronics, and connectivity, and there are nano-creators to power smart dresses. The mass manufacturing and manifestation of smart clothes have decisively kick-started the fashion industry. The readers will come across the implementation technologies and the research results of virtual try-on, body size and pose estimation, diffusion-based fashion synthesis, etc.
Illustrating Finance Policy with Mathematica (Quantitative Perspectives On Behavioral Economics And Finance Ser.)
by Nicholas L. GeorgakopoulosStudents in various disciplines—from law and government to business and health policy—need to understand several quantitative aspects of finance (such as the capital asset pricing model or financial options) and policy analysis (e.g., assessing the weight of probabilistic evidence) but often have little quantitative background. This book illustrates those phenomena and explains how to illustrate them using the powerful visuals that computing can produce. Of particular interest to graduate students and scholars in need of sharper quantitative methods, this book introduces the reader to Mathematica, enables readers to use Mathematica to produce their own illustrations, and places specific emphasis on finance and policy as well as the foundations of probability theory.
Illustrating Statistical Procedures: Finding Meaning in Quantitative Data
by Ray W. CookseyThis book occupies a unique position in the field of statistical analysis in the behavioural and social sciences in that it targets learners who would benefit from learning more conceptually and less computationally about statistical procedures and the software packages that can be used to implement them. This book provides a comprehensive overview of this important research skill domain with an emphasis on visual support for learning and better understanding. The primary focus is on fundamental concepts, procedures and interpretations of statistical analyses within a single broad illustrative research context. The book covers a wide range of descriptive, correlational and inferential statistical procedures as well as more advanced procedures not typically covered in introductory and intermediate statistical texts. It is an ideal reference for postgraduate students as well as for researchers seeking to broaden their conceptual exposure to what is possible in statistical analysis.
Illustrative Mathematics Student Workbook: Book 1: Units 1, 2, 3,
by Illustrative MathematicsNIMAC-sourced textbook <p>Grade 7
Illustrative Mathematics Student Workbook: Book 2: Units 4, 5, 6
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Illustrative Mathematics, Grade 8, Book 1: Units 1, 2, 3
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Illustrative Mathematics, Grade 8, Book 2: Units 4, 5, 6
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Illustrative Mathematics, Grade 8, Book 3: Units 7, 8, 9
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Illustrative Mathematics: Grade 6 Units 1-3
by Kendall HuntThis book includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.
Illustrative Mathematics: Grade 6 Units 4-6
by Kendall HuntMore Than Words is a nonprofit social enterprise that empowers youth who are in the foster care system, court involved, homeless, or out of school to take charge of their lives by taking charge of a business.
Illustrative Mathematics: Grade 6 Units 7-9
by Kendall HuntThis book includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.
Illustrative Mathematics: Units 1–2
by Illustrative MathematicsIllustrative Mathematics is a non-profit organization committed to creating a world where learners know, use, and enjoy mathematics. Their highly respected authors craft and deliver high-quality, problem-based core curricula and professional learning resources that help teachers and students excel in teaching and learning mathematics.
Im Zeitalter der KI: KI im Gespräch: Aufklärung und Perspektiven (essentials)
by Mario BockWird Künstliche Intelligenz meinen Job ersetzen? Kann sie kreativ sein? Und wie sicher ist der Einsatz von KI wirklich? Dieses Buch räumt mit Halbwissen auf und gibt eine klare, fundierte Einführung in die Welt der KI. Anschaulich wird erklärt, wie Künstliche Intelligenz funktioniert, wo ihre Grenzen liegen und welche Chancen sie bietet. Wir beleuchten technische Hintergründe, gesellschaftliche Auswirkungen und ethische Fragestellungen. Im zugehörigen Online-Kurs finden Sie zudem spannende Kurzgeschichten und Video-Interviews, welche neue Perspektiven und Denkanstöße bieten.
Image Analysis, Classification and Change Detection in Remote Sensing: With Algorithms for Python, Fourth Edition
by Morton John CantyImage Analysis, Classification and Change Detection in Remote Sensing: With Algorithms for Python, Fourth Edition, is focused on the development and implementation of statistically motivated, data-driven techniques for digital image analysis of remotely sensed imagery and it features a tight interweaving of statistical and machine learning theory of algorithms with computer codes. It develops statistical methods for the analysis of optical/infrared and synthetic aperture radar (SAR) imagery, including wavelet transformations, kernel methods for nonlinear classification, as well as an introduction to deep learning in the context of feed forward neural networks. New in the Fourth Edition: An in-depth treatment of a recent sequential change detection algorithm for polarimetric SAR image time series. The accompanying software consists of Python (open source) versions of all of the main image analysis algorithms. Presents easy, platform-independent software installation methods (Docker containerization). Utilizes freely accessible imagery via the Google Earth Engine and provides many examples of cloud programming (Google Earth Engine API). Examines deep learning examples including TensorFlow and a sound introduction to neural networks, Based on the success and the reputation of the previous editions and compared to other textbooks in the market, Professor Canty’s fourth edition differs in the depth and sophistication of the material treated as well as in its consistent use of computer codes to illustrate the methods and algorithms discussed. It is self-contained and illustrated with many programming examples, all of which can be conveniently run in a web browser. Each chapter concludes with exercises complementing or extending the material in the text.
Image Operators: Image Processing in Python
by Jason M. KinserFor decades, researchers have been developing algorithms to manipulate and analyze images. From this, a common set of image tools now appear in many high-level programming languages. Consequently, the amount of coding required by a user has significantly lessened over the years. While the libraries for image analysis are coalescing to a common toolkit, the language of image analysis has remained stagnant. Often, textual descriptions of an analytical protocol consume far more real estate than does the computer code required to execute the processes. Furthermore, the textual explanations are sometimes vague or incomplete. This book offers a precise mathematical language for the field of image processing. Defined operators correspond directly to standard library routines, greatly facilitating the translation between mathematical descriptions and computer script. This text is presented with Python 3 examples. This text will provide a unified language for image processing Provides the theoretical foundations with accompanied Python® scripts to precisely describe steps in image processing applications Linkage between scripts and theory through operators will be presented All chapters will contain theories, operator equivalents, examples, Python® codes, and exercises
Image Processing and Acquisition using Python (Chapman & Hall/CRC The Python Series)
by Ravishankar Chityala Sridevi PudipeddiImage Processing and Acquisition using Python provides readers with a sound foundation in both image acquisition and image processing—one of the first books to integrate these topics together. By improving readers’ knowledge of image acquisition techniques and corresponding image processing, the book will help them perform experiments more effectively and cost efficiently as well as analyze and measure more accurately. Long recognized as one of the easiest languages for non-programmers to learn, Python is used in a variety of practical examples. A refresher for more experienced readers, the first part of the book presents an introduction to Python, Python modules, reading and writing images using Python, and an introduction to images. The second part discusses the basics of image processing, including pre/post processing using filters, segmentation, morphological operations, and measurements. The second part describes image acquisition using various modalities, such as x-ray, CT, MRI, light microscopy, and electron microscopy. These modalities encompass most of the common image acquisition methods currently used by researchers in academia and industry. Features Covers both the physical methods of obtaining images and the analytical processing methods required to understand the science behind the images. Contains many examples, detailed derivations, and working Python examples of the techniques. Offers practical tips on image acquisition and processing. Includes numerous exercises to test the reader’s skills in Python programming and image processing, with solutions to selected problems, example programs, and images available on the book’s web page. New to this edition Machine learning has become an indispensable part of image processing and computer vision, so in this new edition two new chapters are included: one on neural networks and the other on convolutional neural networks. A new chapter on affine transform and many new algorithms. Updated Python code aligned to the latest version of modules.
Image Processing and Acquisition using Python (Chapman And Hall/crc Mathematical And Computational Imaging Sciences Ser.)
by Ravishankar Chityala Sridevi PudipeddiImage Processing and Acquisition using Python provides readers with a sound foundation in both image acquisition and image processing-one of the first books to integrate these topics together. By improving readers' knowledge of image acquisition techniques and corresponding image processing, the book will help them perform experiments more effectiv