Download or read book Formalization of Complex Analysis and Matrix Theory written by Zhiping Shi and published by Springer Nature. This book was released on 2020-08-10 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering topics such as algebraic systems, complex numbers, gauge integration, the Fourier transformation and its discrete counterpart, matrices and their transformation, inner product spaces, and function matrices. The formalization is performed using the interactive theorem prover HOL4, chiefly developed at the University of Cambridge. Many of the developments presented are now integral parts of the library of this prover. As mathematical developments continue to gain in complexity, sometimes demanding proofs of enormous sizes, formalization has proven to be invaluable in terms of obtaining real confidence in their correctness. This book provides a basis for the computer-aided verification of engineering systems constructed using the principles of complex analysis and matrix theory, as well as building blocks for the formalization of more involved mathematical theories.
Download or read book Formal Methods for Industrial Critical Systems written by Frédéric Lang and published by Springer. This book was released on 2014-09-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 19th International Conference on Formal Methods for Industrial Critical Systems, FMICS 2014, held in Florence, Italy, in September 2014. The 13 papers presented in this volume were carefully reviewed and selected from 26 submissions. They are organized in topical sections named: cyber-physical systems; computer networks; railway control systems; verification methods; and hardware and software testing.
Download or read book Theorem Proving in Higher Order Logics written by Joe Hurd and published by Springer Science & Business Media. This book was released on 2005-08-08 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2005, held in Oxford, UK, in August 2005. The 20 revised full papers presented together with 2 invited papers and 4 proof pearls (concise and elegant presentations of interesting examples) were carefully reviewed and selected from 49 submissions. All current issues in HOL theorem proving and formal verification of software and hardware systems are addressed. Among the topics of this volume are theorem proving, verification, recursion and induction, mechanized proofs, mathematical logic, proof theory, type systems, program verification, and proving systems like HOL, Coq, ACL2, Isabelle/HOL and Isabelle/HOLCF.
Download or read book Theorizing Teaching and Learning in Asia and Europe written by John Chi-Kin Lee and published by Taylor & Francis. This book was released on 2017-03-27 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been much debate in recent times between the Anglo American tradition of curriculum studies and the Continental and North European tradition of didactics (Didaktik). As important as such debate has been, this book seeks to add new voices to the debate representing ideas and traditions from a different part of the world. The focus is on Chinese curriculum thinking that has passed through a number of stages and currently represents a blend of some aspects of the American tradition and Chinese cultural traditions. How does Chinese thinking about curriculum, teaching and learning resonate with European didactic traditions and what are the implications for theorizing an expanded field of curriculum studies? This book deliberately transcends borders and cultures to explore new territory, to provide a platform for open dialogue and to open up new areas of investigation Chapters include, Curriculum Reform and Research in China: A Social-Historical Perspective What Mathematics Did Teachers Learn? Comparison of the School and the Pre-Service Teacher Mathematics Curricula in Germany and Taiwan Living in Parallel Worlds: A Transatlantic Dialogue between General Didactics and Instructional Design
Download or read book NASA Formal Methods written by Guillaume Brat and published by Springer. This book was released on 2013-05-09 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Symposium on NASA Formal Methods, NFM 2013, held in Moffett Field, CA, USA, in May 2013. The 28 revised regular papers presented together with 9 short papers talks were carefully reviewed and selected from 99 submissions. The topics are organized in topical sections on model checking; applications of formal methods; complex systems; static analysis; symbolic execution; requirements and specifications; probabilistic and statistical analysis; and theorem proving.
Download or read book Formal Methods and Software Engineering written by Zhenhua Duan and published by Springer. This book was released on 2017-10-13 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Formal Engineering Methods, ICFEM 2017, held in Xi'an, China, in November 2017. The 28 revised full papers presented together with one invited talk and two abstracts of invited talks were carefully reviewed and selected from 80 submissions. The conference focuses on all areas related to formal engineering methods, such as verification and validation, software engineering, formal specification and modeling, software security, and software reliability.
Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Download or read book Formal Methods and Software Engineering written by Jing Sun and published by Springer. This book was released on 2018-11-05 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Conference on Formal Engineering Methods, ICFEM 2018, held in Gold Coast, QLD, Australia, in November 2018. The 22 revised full papers presented together with 14 short papers were carefully reviewed and selected from 66 submissions. The conference focuses on all areas related to formal engineering methods, such as verification; network systems; type theory; theorem proving; logic and semantics; refinement and transition systems; and emerging applications of formal methods.
Download or read book Formal Aspects of Component Software written by Diego Marmsoler and published by Springer Nature. This book was released on with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book From Divergent Power Series to Analytic Functions written by Werner Balser and published by Springer. This book was released on 2006-11-15 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
Download or read book Interactive Theorem Proving written by Gerwin Klein and published by Springer. This book was released on 2014-06-28 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th International Conference on Interactive Theorem Proving, ITP 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 35 papers presented in this volume were carefully reviewed and selected from 59 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.
Download or read book First European Congress of Mathematics written by Anthony Joseph and published by Nelson Thornes. This book was released on 1994-08 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the round table reports of the first European Congress of Mathematics, a new feature of this Congress devoted to furthering the contribution of mathematics to society and reporting on its interaction with the exact and social sciences. Topics: • Mathematics and the general public • Women and mathematics • Mathematics and educational policy • Let's cultivate mathematics! • Mathematical Europe: Myth or historical reality? • Philosophie des mathématiques : pourquoi ? comment ? • Mathématiques et sciences sociales • Mathe- matics and industry • Degree harmonization and student exchange programmes • The Pythagoras programme • Collaboration with devel- oping countries • Mathematical libraries in Europe • Mathematics and economics • Mathématiques et Chimie • Mathematics in medicine and biology. This book is also available in hardcover as Volume 121 of the series Progress in Mathematics, where it forms part of the three-volume set First European Congress of Mathematics. Volumes I (Invited Lectures Part 1) and II (Invited Lectures Part 2) of this set are also available separately as Volumes 119 and 120, respectively, of Progress in Mathematics.
Download or read book Do They Walk Like They Talk written by Louis M. Imbeau and published by Springer Science & Business Media. This book was released on 2009-07-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Bush’s 1988 campaign pledge, "Read my lips: no new taxes," has become a mantra for those who distrust politicians and bureaucrats. The gulf between what political leaders say and do seems to be widening, and in democratic societies around the world, contributing to an atmosphere of cynicism and apathy among the citizenry. Understanding the characteristics and functions of speech in policy processes is a requirement for trying to overcome this problem; indeed, politicians and bureaucrats spend a good proportion of their time and resources discoursing, i.e., writing, speaking, and publishing. However, there has been scant analysis of political discourse; the aim of this book is to fill this analytical gap, by exploring political speech from a variety of perspectives, including normative, epistemological, and empirical. Incorporating insights from economics, political science, philosophy, and law, and evidence from the United States, Canada, France, Italy, Turkey, and the EU, the book addresses a wide variety of timely issues, including:. Fiscal discipline in speeches vs budget balance: Is an improvement (deterioration) of the budget balance preceded by a more (less) fiscally disciplined discourse? Revenues and spending forecasted in budget speeches vs realised budget outcomes: Is there a systematic bias? If so, how can we explain it? Electoral pledges vs actual realisations: Do governments follow up on their electoral pledges? Ideological stance in party publications vs spending and revenues of party governments: Do parties of the right and the left speak different languages? How can we validly classify a government as of the left or of the right? Is there a systematic difference between governments of the right and of the left in terms of their policy? Speeches by central bank officers vs monetary policy: Can changes in monetary policy be predicted by official speeches? The political business cycle: How can taking into consideration the speech-action relationship strengthen (or threaten) our knowledge about electoral and partisan cycles in public spending? Other questions explored include: Should policy makers always tell the truth and all the truth? What are the benefits and the costs of transparency? How can we resolve the apparent contradiction between the democratic demand for transparency and the efficiency requirement of secrecy in many policy areas (budget preparation, monetary policy, foreign policy, security, etc.)? Under which conditions is secrecy acceptable in a democratic society? To what extent may deception and lies lead to a breach of trust or to power abuse? What are the most efficient institutional mechanisms to prevent such abuse? Collectively, the authors present new insights for understanding political process and government activity, and suggest avenues for further research.
Download or read book Handbook of International Relations written by Walter Carlsnaes and published by SAGE. This book was released on 2012-09-18 with total page 1131 pages. Available in PDF, EPUB and Kindle. Book excerpt: The original Handbook of International Relations was the first authoritative and comprehensive survey of the field of international relations. In this eagerly-awaited new edition, the Editors have once again drawn together a team of the world′s leading scholars of international relations to provide a state-of-the-art review and indispensable guide to the field, ensuring its position as the pre-eminent volume of its kind. The Second Edition has been expanded to 33 chapters and fully revised, with new chapters on the following contemporary topics: - Normative Theory in IR - Critical Theories and Poststructuralism - Efforts at Theoretical Synthesis in IR: Possibilities and Limits - International Law and International Relations - Transnational Diffusion: Norms, Ideas and Policies - Comparative Regionalism - Nationalism and Ethnicity - Geopolitics in the 21st Century - Terrorism and International Relations - Religion and International Politics - International Migration A truly international undertaking, this Handbook reviews the many historical, philosophical, analytical and normative roots to the discipline and covers the key contemporary topics of research and debate today. The Handbook of International Relations remains an essential benchmark publication for all advanced undergraduates, graduate students and academics in politics and international relations.
Download or read book Advancing Organizational Theory in a Complex World written by Jane Qiu and published by Taylor & Francis. This book was released on 2016-10-14 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1) In-depth reflection on some of the major intellectual traditions in the field of organisational studies. 2) Cutting-edge theoretical advancement. 3) Building connection and synergy between various theories. 4) A wide international coverage with authors from four different continents.
Download or read book Linear Algebra Rational Approximation and Orthogonal Polynomials written by A. Bultheel and published by Elsevier. This book was released on 1997-11-17 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal Padé tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algorithms for structured problems and shows how they deal with singular situations.Links are made with more applied subjects such as linear system theory and signal processing, and with more advanced topics and recent results such as general bi-orthogonal polynomials, minimal Padé approximation, polynomial root location problems in the complex plane, very general rational interpolation problems, and the lifting scheme for wavelet transform computation. The text serves as a supplement to existing books on structured linear algebra problems, rational approximation and orthogonal polynomials.Features of this book:• provides a unifying approach to linear algebra, rational approximation and orthogonal polynomials• requires an elementary knowledge of calculus and linear algebra yet introduces advanced topics.The book will be of interest to applied mathematicians and engineers and to students and researchers.
Download or read book Visual Complex Analysis written by Tristan Needham and published by Oxford University Press. This book was released on 1997 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
