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My W Words
Introduces words that begin with the letter W, including wagon, waffle, and worm.
Topics in Geometric Group Theory
In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.
W Words
Phonics is a decoding skill that's used to help adults improve their reading skills. Using phonics makes learners feel more at ease when learning to read. It means they have a way to decode the words on the page. W Words book introduces adult learners to words that have the ""W"" sound in them. There are words like, water, walrus, wing, winter, worm and women. W Words book uses large font and images to make reading easier. W Words book has sight word sentences. It ends with the learner reading long reading passages that focus on words with the ""W"" sound. Each sentence and reading passage is accompanied by an image which will help the learner know what the sentence is about and will help them decode the words better.
My W Words 6-Pack
Beginning readers are encouraged to learn and recognize words that begin with W in this book that uses vibrant images, clear text, and applicable sight words to enhance children's basic phonemic recognition and pronunciation. This 6-Pack includes six copies of this title and a lesson plan.
My W Words Guided Reading 6-Pack
Beginning readers are encouraged to learn and recognize words that begin with W in this book that uses vibrant images, clear text, and applicable sight words to enhance children's basic phonemic recognition and pronunciation. This 6-Pack includes six copies of this Level A title and a lesson plan that specifically supports Guided Reading instruction.
Operator Theory And Analysis Of Infinite Networks
This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e.g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social networks. Indeed, network analysis plays a crucial role in many other areas of data science and engineering. In these models, the weights on the edges may be understood as conductances, or as a measure of similarity. Resistance networks also arise in probability, as they correspond to a broad class o...
Algebraic Methods in Statistics and Probability
The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.
Words, Semigroups & Transductions
This is an excellent collection of papers dealing with combinatorics on words, codes, semigroups, automata, languages, molecular computing, transducers, logics, etc., related to the impressive work of Gabriel Thierrin. This volume is in honor of Professor Thierrin on the occasion of his 80th birthday. Contents: Some Operators on Families of Fuzzy Languages and Their Monoids (P R J Asveld); Liars, Demons, and Chaos (C S Calude et al.); Conditional Grammars with Restrictions by Syntactic Parameters (J Dassow); Circularity and Other Invariants of Gene Assembly in Ciliates (A Ehrenfeucht et al.); Catenation Closed Pairs and Forest Languages (C-M Fan & H-J Shyr); Valence Grammars with Target Sets...
Harmonic Functions on Trees and Buildings
This volume presents the proceedings of the workshop "Harmonic Functions on Graphs" held at the Graduate Centre of CUNY in the autumn of 1995. The main papers present material from four minicourses given by leading experts: D. Cartwright, A. Figà-Talamanca, S. Sawyer, and T. Steger. These minicrouses are introductions which gradually progress to deeper and less known branches of the subject. One of the topics treated is buildings, which are discrete analogues of symmetric spaces of arbitrary rank; buildings of rank are trees. Harmonic analysis on buildings is a fairly new and important field of research. One of the minicourses discusses buildings from the combinatorial perspective and another examines them from the p-adic perspective. the third minicourse deals with the connections of trees with p-adic analysis, and the fourth deals with random walks, ie., with the probabilistic side of harmonic functions on trees. The book also contains the extended abstracts of 19 of the 20 lectures given by the participants on their recent results. These abstracts, well detailed and clearly understandable, give a good cross-section of the present state of research in the field.
Cycles and Rays
What is the "archetypal" image that comes to mind when one thinks of an infinite graph? What with a finite graph - when it is thought of as opposed to an infinite one? What structural elements are typical for either - by their presence or absence - yet provide a common ground for both? In planning the workshop on "Cycles and Rays" it had been intended from the outset to bring infinite graphs to the fore as much as possible. There never had been a graph theoretical meeting in which infinite graphs were more than "also rans", let alone one in which they were a central theme. In part, this is a matter of fashion, inasmuch as they are perceived as not readily lending themselves to applications, ...
