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Kaleidoscopes, Hubcaps, and Mirrors, Symmetry and Transformations
by Glenda Lappan James T. Fey William M. FitzgeraldNIMAC-sourced textbook
A Kaleidoscopic View of Graph Colorings (SpringerBriefs in Mathematics)
by Ping ZhangThis book describes kaleidoscopic topics that have developedin the area of graph colorings. Unifying current material on graph coloring,this book describes current information on vertex and edge colorings in graphtheory, including harmonious colorings, majestic colorings, kaleidoscopiccolorings and binomial colorings. Recently there have been a number of breakthroughs in vertex coloringsthat give rise to other colorings in a graph, such as graceful labelings ofgraphs that have been reconsidered under the language of colorings. The topics presented in this book include sample detailedproofs and illustrations, which depicts elements that are often overlooked. This book is ideal for graduate students and researchers in graph theory, as itcovers a broad range of topics and makes connections between recentdevelopments and well-known areas in graph theory.
Kalman-Filter: Einführung in die Zustandsschätzung und ihre Anwendung für eingebettete Systeme
by Reiner Marchthaler Sebastian DinglerDieses Lehrbuch befasst sich leicht verständlich mit der Theorie der Kalman-Filterung. Die Autoren geben damit eine Einführung in Kalman-Filter und deren Anwendung für eingebettete Systeme. Zusätzlich wird anhand konkreter Praxisbeispiele der Kalman-Filterentwurf demonstriert – Teilschritte werden im Buch ausführlich erläutert.Kalman-Filter sind die erste Wahl, um Störsignale auf den Sensorsignalen zu eliminieren. Dies ist von besonderer Bedeutung, da viele technische Systeme ihre prozessrelevanten Informationen über Sensoren gewinnen. Jeder Messwert eines Sensors weißt jedoch aufgrund verschiedener Ursachen einen Messfehler auf. Würde ein System nur auf Basis dieser ungenauen Sensorinformationen arbeiten, so wären viele Anwendungen, wie zum Beispiel ein Navigationssystem oder autonome arbeitende Systeme, nicht möglich.Das Buch ist geeignet für interessierte Bachelor- und Master-Studierende der Fachrichtungen Informatik, Maschinenbau, Elektrotechnik undMechatronik. Ebenso ist das Buch eine Hilfe für Ingenieure und Wissenschaftler, die ein Kalman-Filter z. B. für die Datenfusion oder die Schätzung unbekannter Größen in Echtzeitanwendungen einsetzen möchten.
Kalman Filtering
by Guanrong Chen Charles K. ChuiKalman filtering algorithm gives optimal (linear, unbiased and minimum error-variance) estimates of the unknown state vectors of a linear dynamic-observation system, under the regular conditions such as perfect data information; complete noise statistics; exact linear modeling; ideal well-conditioned matrices in computation and strictly centralized filtering. In practice, however, one or more of the aforementioned conditions may not be satisfied, so that the standard Kalman filtering algorithm cannot be directly used, and hence OC approximate Kalman filteringOCO becomes necessary. In the last decade, a great deal of attention has been focused on modifying and/or extending the standard Kalman filtering technique to handle such irregular cases. It has been realized that approximate Kalman filtering is even more important and useful in applications. This book is a collection of several tutorial and survey articles summarizing recent contributions to the field, along the line of approximate Kalman filtering with emphasis on both its theoretical and practical aspects. "
Kalman Filtering Under Information Theoretic Criteria
by Badong Chen Lujuan Dang Nanning Zheng Jose C. PrincipeThis book provides several efficient Kalman filters (linear or nonlinear) under information theoretic criteria. They achieve excellent performance in complicated non-Gaussian noises with low computation complexity and have great practical application potential. The book combines all these perspectives and results in a single resource for students and practitioners in relevant application fields. Each chapter starts with a brief review of fundamentals, presents the material focused on the most important properties and evaluates comparatively the models discussing free parameters and their effect on the results. Proofs are provided at the end of each chapter. The book is geared to senior undergraduates with a basic understanding of linear algebra, signal processing and statistics, as well as graduate students or practitioners with experience in Kalman filtering.
Kanakku (Maths) 10th Standard - Tamilnadu Board
by State Council of Educational Research TrainingKanakku (Maths) Textbook for the 10th Standard Students, preparing for Tamil Nadu State Board Exam.
Kaplan AP Calculus AB & BC 2016
by Tamara Lefcourt Ruby James Sellers Lisa Korf Jeremy Van Horn Mike MunnThe only Advanced Placement test preparation guide that delivers 75 years of proven Kaplan experience and features exclusive strategies, practice, and review to help students ace the AP Calculus AB & BC exam! Students spend the school year preparing for the AP Calculus AB & BC test. Now it's time to reap the rewards: money-saving college credit, advanced placement, or an admissions edge. However, achieving a top score on the AP Calculus AB & BC exam requires more than knowing the material--students need to get comfortable with the test format itself, prepare for pitfalls, and arm themselves with foolproof strategies. That's where the Kaplan plan has the clear advantage. Kaplan's AP Calculus AB & BC 2016 offers many essential and unique features to help improve test scores, including: * Eight full-length practice tests, including two diagnostic tests to target areas for score improvement * Detailed answer explanations * Expert video tutorials * Tips and strategies for scoring higher from expert AP Calculus AB & BC teachers and students who got a perfect 5 on the exam * Targeted review of the most up-to-date content, including any information about test changes and key information that is specific to the AP Calculus AB & BC exam Kaplan's AP Calculus AB & BC 2016 authors Tamara Lefcourt Ruby, James Sellers, Lisa Korf, Jeremy Van Horn, and Mike Munn have many years of experience teaching calculus as well as other math courses. Their expertise has helped make this and other books the best that Kaplan has to offer in AP test prep. Kaplan's AP Calculus AB & BC 2016 provides students with everything they need to improve their scores--guaranteed. Kaplan's Higher Score guarantee provides security that no other test preparation guide on the market can match. Kaplan has helped more than three million students to prepare for standardized tests. We invest more than $4.5 million annually in research and support for our products. We know that our test-taking techniques and strategies work and our materials are completely up-to-date. Kaplan's AP Calculus AB & BC 2016 is the must-have preparation tool for every student looking to do better on the AP Calculus AB & BC test!
Kaplan AP Statistics 2014
by Bruce Simmons Mary Jean Bland Barbara WojciechowskiThe book helps to prepare for the AP Statistics exam by providing Kaplan's test-taking strategies, a targeted review that highlights important concepts on the exam, and practice tests.
Kaplan GED® Test 2016: Strategies, Practice, And Review With 2 Practice Tests
by Caren SlykeAlways study with the most up-to-date prep! Look for GED Test 2017 Strategies, Practice & Review with 2 Practice Tests
Kaplan GRE® Math Workbook (Ninth Edition)
by KaplanHundreds of realistic practice questions and exercises to prepare you for the Math portion of the GRE. Kaplan's Math Workbook for the GRE, 9th Edition, comprehensively addresses the math section of the GRE Revised General Test. This workbook is a highly effective way to prepare for the math section of the GRE Revised General Test. Kaplan's Math Workbook for the GRE, 9th Edition includes: * 6 full-length Quantitative Reasoning practice sets * Diagnostic tool for even more targeted Quantitative practice * Review of crucial math skills and concepts (including arithmetic, algebra, data interpretation, geometry, and probability) * Key strategies for all Quantitative Reasoning question types on the revised GRE Kaplan is dedicated to helping our students score higher. We guarantee that students will raise their scores-or get their money back.
Kaplan TASC Strategies, Practice, and Review 2015-2016
by KaplanComprehensive content review, strategies, and practice for all sections of the TASC (Test Assessing Secondary Completion) from top test experts.
Kappa Distributions: From Observational Evidences via Controversial Predictions to a Consistent Theory of Nonequilibrium Plasmas (Astrophysics and Space Science Library #464)
by Marian Lazar Horst FichtnerThis book presents recent results on the modelling of space plasmas with Kappa distributions and their interpretation. Hot and dilute space plasmas most often do not reach thermal equilibrium, their dynamics being essentially conditioned by the kinetic effects of plasma particles, i.e., electrons, protons, and heavier ions. Deviations from thermal equilibrium shown by these plasma particles are often described by Kappa distributions. Although well-known, these distributions are still controversial in achieving a statistical characterization and a physical interpretation of non-equilibrium plasmas.The results of the Kappa modelling presented here mark a significant progress with respect to all these aspects and open perspectives to understanding the high-resolution data collected by the new generation of telescopes and spacecraft missions.The book is directed to the large community of plasma astrophysics, including graduate students and specialists from associated disciplines, given the palette of the proposed topics reaching from applications to the solar atmosphere and the solar wind, via linear and quasilinear modelling of multi-species plasmas and waves within, to the fundamental physics of nonequilibrium plasmas.
Karl Marx and Mathematics
by Pradip BaksiThis collection of various texts on Karl Marx and Mathematics is the revised and extended second edition of the Special Supplement to Karl Marx, Mathematical Manuscripts (1994; Calcutta: Viswakos) titled Marx and Mathematics. The sources of the texts included in the three parts of this collection and, some biographical information about their respective authors have been indicated at the end of each text. The emergence and development of the Ethnomathematics movement continue to change our understanding of the history of evolution of plural mathematics on planet earth since the Neolithic age. Rediscovery and study of some of the neglected source texts have further energized investigations on the subsequent history of mathematical cultures, including those on the histories of algebra and analysis in some of the ancient and medieval languages of Asia, like Sanskrit, Arabic and Malayalam. Consequently, it is now possible to indicate some of the larger gaps in the dominant understanding of history of mathematics not only in Marx’s time, but also at the time of editing Marx’s mathematical manuscripts in the twentieth century, and even today. Finally, the emergence and development of mathematical and statistical software packages are vigorously reshaping our ways of conceptualizing and doing mathematics towards an unknown future. It is time now for taking yet another look at all mathematical text from the past and that includes the mathematical manuscripts of Marx. These texts have been divided into three parts. Part one contains some topical texts related to the history of emergence, development, editing, publication and reception of the mathematical manuscripts of Karl Marx. Part two contains a selection of five articles reflecting some of the investigations inspired by these manuscripts in Russia, India and France. Part three contains five articles on plural mathematics before and after Karl Marx (1818-1883). The texts in this collection are followed by two appendices containing two bibliographies: one on Hegel and mathematics and, the other on mathematics and semiotics. Please note: This title is co-published with Aakar Books, Bew Delhi. Taylor & Francis does not sell or distribute the print edition in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan, Maldives or Bhutan).
Kategorientheorie: Eine kurze Einführung (essentials)
by Jürgen JostDieses essential ist eine kurze Einführung in die Kategorientheorie und damit in das strukturelle Denken der modernen Mathematik. Die Kategorientheorie erfasst Objekte durch ihre Relationen mit anderen Objekten der gleichen Strukturklasse. Sie kann daher Konstruktionen, die in verschiedenen Bereichen der Mathematik auftreten, unter universellen Gesichtspunkten erfassen. Der Autor entwickelt die grundlegenden kategorientheoretischen Begriffe und Methoden wie Morphismen, Funktoren, Prägarben, Diagramme, Limiten und Adjunktionen und erläutert diese durch Anwendungen in verschiedenen Bereichen der modernen Mathematik.
Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces (SpringerBriefs in Mathematics)
by Silvestru Sever DragomirThe aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous applications in fields including Partial Differential Equations, Approximation Theory, Optimization Theory, and Numerical Analysis, the volume is intended for use by both researchers in various fields and postgraduate students and scientists applying inequalities in their specific areas. For the sake of completeness, all the results presented are completely proved and the original references where they have been firstly obtained are mentioned.
Kaufmannisches Rechnen fur Dummies (Für Dummies)
by Petra LeitertDreisatz, Prozentrechnen und Co. - wie ging das noch gleich? Wenn Sie einen kaufmännischen Beruf anstreben oder ausüben, führt kein Weg am Kaufmännischen Rechnen vorbei. Aber keine Sorge, auch wenn Sie kein Mathe-Genie sind, werden Berechnungen wie Proportions-, Durchschnitts-, Verteilungs- oder Zinsrechnung bald kein Problem mehr für Sie sein. Petra Leitert erklärt Ihnen leicht verständlich und Schritt für Schritt alle wichtigen Rechenarten, die Sie benötigen. So erfahren Sie alles über Abschreibungen, Währungsrechnung, Deckungsbeiträge und vieles mehr. Auch komplexere Berechnungen wie Tilgungsrechnung, Zinseszinsrechnung, Berechnungen bei Geldanlagen und statistisches Rechnen kommen nicht zu kurz. Zahlreiche Beispielrechnungen, Übungen und Tipps zur Arbeit mit Excel runden dieses Buch ab.
Kaufmännisches Rechnen für Dummies (Für Dummies)
by Petra LeitertDreisatz, Prozentrechnen und Co. - wie ging das noch gleich? Wenn Sie einen kaufmännischen Beruf anstreben oder ausüben, führt kein Weg am Kaufmännischen Rechnen vorbei. Aber keine Sorge, auch wenn Sie kein Mathe-Genie sind, werden Berechnungen wie Proportions-, Durchschnitts-, Verteilungs- oder Zinsrechnung bald kein Problem mehr für Sie sein. Petra Leitert erklärt Ihnen leicht verständlich und Schritt für Schritt alle wichtigen Rechenarten, die Sie benötigen. So erfahren Sie alles über Abschreibungen, Währungsrechnung, Deckungsbeiträge und vieles mehr. Auch komplexere Berechnungen wie Tilgungsrechnung, Zinseszinsrechnung, Berechnungen bei Geldanlagen und statistisches Rechnen kommen nicht zu kurz. Zahlreiche Beispielrechnungen, Übungen und Tipps zur Arbeit mit Excel runden dieses Buch ab.
Kazhdan-Lusztig Cells with Unequal Parameters
by Cédric BonnaféThis monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case. Serving as a useful reference, the present volume offers a synthesis of significant advances made since Lusztig’s seminal work on the subject was published in 2002. The focus lies on the combinatorics of the partition into cells for general Coxeter groups, with special attention given to induction methods, cellular maps and the role of Lusztig's conjectures. Using only algebraic and combinatorial methods, the author carefully develops proofs, discusses open conjectures, and presents recent research, including a chapter on the action of the cactus group. Kazhdan-Lusztig Cells with Unequal Parameters will appeal to graduate students and researchers interested in related subject areas, such as Lie theory, representation theory, and combinatorics of Coxeter groups. Useful examples and various exercises make this book suitable for self-study and use alongside lecture courses.Information for readers: The character {\mathbb{Z}} has been corrupted in the print edition of this book and appears incorrectly with a diagonal line running through the symbol.
Keeping Races in Their Places: The Dividing Lines That Shaped the American City
by Anthony W. Orlando"A book perfect for this moment" –Katherine M. O’Regan, Former Assistant Secretary, US Department of Housing and Urban Development More than fifty years after the passage of the Fair Housing Act, American cities remain divided along the very same lines that this landmark legislation explicitly outlawed. Keeping Races in Their Places tells the story of these lines—who drew them, why they drew them, where they drew them, and how they continue to circumscribe residents’ opportunities to this very day. Weaving together sophisticated statistical analyses of more than a century’s worth of data with an engaging, accessible narrative that brings the numbers to life, Keeping Races in Their Places exposes the entrenched effects of redlining on American communities. This one-of-a-kind contribution to the real estate and urban economics literature applies the author’s original geographic information systems analyses to historical maps to reveal redlining’s causal role in shaping today’s cities. Spanning the era from the Great Migration to the Great Recession, Keeping Races in Their Places uncovers the roots of the Black-white wealth gap, the subprime lending crisis, and today’s lack of affordable housing in maps created by banks nearly a century ago. Most of all, it offers hope that with the latest scholarly tools we can pinpoint how things went wrong—and what we must do to make them right.
Keine Panik vor Statistik!: Erfolg und Spaß im Horrorfach nichttechnischer Studiengänge
by Markus Oestreich Oliver RombergStatistik kann verständlich und witzig sein – gewürzt mit Humor und Cartoons!Dieses Lehrbuch versteht sich als humorvoller Begleiter durch das berühmt-berüchtigte „Durchfallfach“ verschiedenster Studiengänge. Es ebnet mit anschaulichen Beispielen und unterhaltsamen Erklärungen aus dem „typisch“ studentischen Alltag einen Weg ins statistische Denken – und baut eine Brücke zu ernsteren und eher theoretischen Lehrbüchern. Die Autoren stellen den Spaß beim Lernen in den Mittelpunkt, lassen dabei kein Klischee aus, nehmen sich aber auch selbst nicht allzu ernst; ihr erfrischender Stil baut übermäßigen Respekt oder gar Angst vor den Inhalten ab bzw. lässt beides gar nicht erst aufkommen. Inhalt des Buches sind die zentralen Grundlagen der Statistik, wie sie in verschiedensten Studiengängen behandelt werden: neben Grundbegriffen geht es um Kombinatorik, beschreibende Statistik, Wahrscheinlichkeitsrechnung und -verteilungen sowie beurteilende Statistik.Neben vielen Cartoons und Zeichnungen finden sich im Buch natürlich auch Übungsaufgaben mit Lösungen. Leser des gedruckten Buchs erhalten darüber hinaus kostenlosen Zugriff auf mehr als 60 Flashcards zum Buch, mit denen sie ihr Wissen in der Springer-Nature-Flashcards-App testen und ihren eigenen Leistungsstand ermitteln können.
Kernel Functions and Elliptic Differential Equations in Mathematical Physics (Dover Books on Mathematics #Volume 4)
by Stefan Bergman Menahem SchifferThis text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.The two-part treatment begins with a survey of boundary value problems occurring in certain branches of theoretical physics. It introduces fundamental solutions in a heuristic way and examines their physical significance. Many concepts can be unified by concentrating upon these particular kernels, and the text explains the common mathematical background of widely varying theories, such as those of heat conduction, hydrodynamics, electrostatics, magnetostatics, and elasticity. In addition to its intrinsic interest, this material provides illustrations and exact mathematical formulation of the problems and the methods. The second part is confined to a rather special type of partial differential equation, which is dealt with in the greatest detail so that students can make applications and generalizations to similar problems.
Kernel Methods for Machine Learning with Math and Python: 100 Exercises for Building Logic
by Joe SuzukiThe most crucial ability for machine learning and data science is mathematical logic for grasping their essence rather than relying on knowledge or experience. This textbook addresses the fundamentals of kernel methods for machine learning by considering relevant math problems and building Python programs. The book’s main features are as follows:The content is written in an easy-to-follow and self-contained style.The book includes 100 exercises, which have been carefully selected and refined. As their solutions are provided in the main text, readers can solve all of the exercises by reading the book.The mathematical premises of kernels are proven and the correct conclusions are provided, helping readers to understand the nature of kernels.Source programs and running examples are presented to help readers acquire a deeper understanding of the mathematics used.Once readers have a basic understanding of the functional analysis topics covered in Chapter 2, the applications are discussed in the subsequent chapters. Here, no prior knowledge of mathematics is assumed.This book considers both the kernel for reproducing kernel Hilbert space (RKHS) and the kernel for the Gaussian process; a clear distinction is made between the two.
Kernel Methods for Machine Learning with Math and R: 100 Exercises for Building Logic
by Joe SuzukiThe most crucial ability for machine learning and data science is mathematical logic for grasping their essence rather than relying on knowledge or experience. This textbook addresses the fundamentals of kernel methods for machine learning by considering relevant math problems and building R programs. The book’s main features are as follows:The content is written in an easy-to-follow and self-contained style.The book includes 100 exercises, which have been carefully selected and refined. As their solutions are provided in the main text, readers can solve all of the exercises by reading the book.The mathematical premises of kernels are proven and the correct conclusions are provided, helping readers to understand the nature of kernels.Source programs and running examples are presented to help readers acquire a deeper understanding of the mathematics used.Once readers have a basic understanding of the functional analysis topics covered in Chapter 2, the applications are discussed in the subsequent chapters. Here, no prior knowledge of mathematics is assumed.This book considers both the kernel for reproducing kernel Hilbert space (RKHS) and the kernel for the Gaussian process; a clear distinction is made between the two.
Kernel Mode Decomposition and the Programming of Kernels (Surveys and Tutorials in the Applied Mathematical Sciences #8)
by Houman Owhadi Clint Scovel Gene Ryan YooThis monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework.Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes.It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems.