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Packed with more than a hundred color illustrations and a wide variety of puzzles and brainteasers, Taking Sudoku Seriously uses this popular craze as the starting point for a fun-filled introduction to higher mathematics. How many Sudoku solution squares are there? What shapes other than three-by-three blocks can serve as acceptable Sudoku regions? What is the fewest number of starting clues a sound Sudoku puzzle can have? Does solving Sudoku require mathematics? Jason Rosenhouse and Laura Taalman show that answering these questions opens the door to a wealth of interesting mathematics. Indeed, they show that Sudoku puzzles and their variants are a gateway into mathematical thinking generally. Among many topics, the authors look at the notion of a Latin square--an object of long-standing interest to mathematicians--of which Sudoku squares are a special case; discuss how one finds interesting Sudoku puzzles; explore the connections between Sudoku, graph theory, and polynomials; and consider Sudoku extremes, including puzzles with the maximal number of vacant regions, with the minimal number of starting clues, and numerous others. The book concludes with a gallery of novel Sudoku variations--just pure solving fun! Most of the puzzles are original to this volume, and all solutions to the puzzles appear in the back of the book or in the text itself. A math book and a puzzle book, Taking Sudoku Seriously will change the way readers look at Sudoku and mathematics, serving both as an introduction to mathematics for puzzle fans and as an exploration of the intricacies of Sudoku for mathematics buffs.
This volume consists of the proceedings of the 30th International Conference on Applications and Theory of Petri Nets and Other Models of Concurrency (PETRI NETS 2009). The Petri Net conferences serve as annual meeting places to discuss the progress in the ?eld of Petri nets and related models of conc- rency. They provide a forum for researchers to present and discuss both app- cations and theoretical developments in this area. Novel tools and substantial enhancements to existing tools can also be presented. The satellite program of the conference comprised four workshops and seven tutorials. This year, the conference was co-located with the 20th IEEE/IFIP International Symposium on Rapid System Prototyping (RSP 2009). The two conferences shared ?ve - vited speakers. Detailed information about PETRI NETS 2009 can be found at http://petrinets2009. lip6. fr/. The PETRI NETS 2009 conference was organized by Universit´ e Pierre & 1 Marie Curie as a part of MeFoSyLoMa , gathering research teams from numer- ˆ ous universities in Ile-de-France: CNAM, ENS de Cachan, Universit´ e Evry-V- d'Essone, Universit´ e Paris-Dauphine, Universit´ e Paris 12, Universit´ e Paris 13, and Telecom Paris-Tech. It took place in Paris,France, during June 22-26,2009. We would like to express our deep thanks to the Organizing Committee, chaired by Fabrice Kordon, for the time and e?ort invested in the conference and for all the help with local organization.
While much of the literature has focused on explaining diachronic variation and change, the fact that sometimes change does not seem to happen has received much less attention. The current volume unites ten contributions that look for the determinants of diachronic stability, mainly in the areas of morphology and (morpho)syntax. The relevant question is approached from different angles, both empirical and theoretical. Empirically, the contributions deal with the absence of change where one may expect it, uncover underlying stability where traditionally diachronic change was postulated, and, inversely, superficial stability that disguises underlying change. Determining factors ranging from internal causes to language contact are explored. Theoretically, the questions of whether stable variation is possible, and how it can be modeled are addressed. The volume will be of interest to linguists working on the causes of language change, and to scholars working on the history of Germanic, Romance, and Sinitic languages.
Felicity Meakins was awarded the Kenneth L. Hale Award 2021 by the Linguistic Society of America (LSA) for outstanding work on the documentation of endangered languages This volume provides the first comprehensive description of Bilinarra, a Pama-Nyungan language of the Victoria River District of the Northern Territory (Australia). Bilinarra is a highly endangered language with only one speaker remaining in 2012 and no child learners. The materials on which this grammatical description is based were collected by the authors over a 20 year period from the last first-language speakers of the language, most of whom have since passed away. Bilinarra is a member of the Ngumpin subgroup of Pama-Nyungan which forms a part of the Ngumpin-Yapa family, which also includes Warlpiri. It is non-configurational, with nominals commonly omitted, arguments cross-referenced by pronominal clitics and word order grammatically free and largely determined by information structure. In this grammatical description much attention is paid to its morphosyntax, including case morphology, the pronominal clitic system and complex predicates. A particular strength of the volume is the provision of sound files for example sentences, allowing the reader access to the language itself.
Requiring no background in linguistics, this book introduces readers to the rich diversity of human languages.
Until recently, mixed languages were considered an oddity of contact linguistics, with debates about whether or not they actually existed stifling much descriptive work or discussion of their origins. These debates have shifted from questioning their existence to a focus on their formation, and their social and structural features. This book aims to advance our understanding of how mixed languages evolve by introducing a substantial corpus from a newly-described mixed language, Gurindji Kriol. Gurindji Kriol is spoken by the Gurindji people who live at Kalkaringi in northern Australia and is the result of pervasive code-switching practices. Although Gurindji Kriol bears some resemblance to both of its source languages, it uses the forms from these languages to function within a unique system. This book focuses on one structural aspect of Gurindji Kriol, case morphology, which is from Gurindji, but functions in ways that differ from its source.
Semantic alignment refers to a type of language that has two means of morphosyntactically encoding the arguments of intransitive predicates, typically treating these as an agent or as a patient of a transitive predicate, or else by a means of a treatment that varies according to lexical aspect. This collection of new typological and case studies is the first book-length investigation of semantically aligned languages for three decades. Leading international typologists explore the differences and commonalities of languages with semantic alignment systems and compare the structure of these languages to languages without them. They look at how such systems arise or disappear and provide areal overviews of Eurasia, the Americas, and the south-west Pacific, the areas where semantically aligned languages are concentrated. This book will interest typological and historical linguists at graduate level and above.