Ebook: Japanese the Manga Way: An Illustrated Guide to Grammar and Structure

Japanese difficult? Study boring? No way! Not with this “real manga, real Japanese” approach to learning. Presenting all spoken Japanese as a variation of three basic sentence types, Japanese the Manga Way shows how to build complex constructions step by step. Every grammar point is illustrated by an actual manga published in Japan to show how the language is used in real life, an approach that is entertaining and memorable. As an introduction, as a jump-start for struggling students, or (with its index) as a reference and review for veterans, Japanese the Manga Way is perfect for all learners at all levels.Wayne P. Lammers has taught Japanese at the college level and is an award-winning literary and commercial translator. He lives in Portland, Oregon.

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This work brings together two streams in computer algebra: symbolic integration and summation on the one hand, and fast algorithmics on the other hand. In many algorithmically oriented areas of computer science, theanalysisof- gorithms–placedintothe limelightbyDonKnuth’stalkat the 1970ICM –provides a crystal-clear criterion for success. The researcher who designs an algorithmthat is faster (asymptotically, in the worst case) than any previous method receives instant grati?cation: her result will be recognized as valuable. Alas, the downside is that such results come along quite infrequently, despite our best efforts. An alternative evaluation method is to run a new algorithm on examples; this has its obvious problems, but is sometimes the best we can do. George Collins, one of the fathers of computer algebra and a great experimenter,wrote in 1969: “I think this demonstrates again that a simple analysis is often more revealing than a ream of empirical data (although both are important). ” Within computer algebra, some areas have traditionally followed the former methodology, notably some parts of polynomial algebra and linear algebra. Other areas, such as polynomial system solving, have not yet been amenable to this - proach. The usual “input size” parameters of computer science seem inadequate, and although some natural “geometric” parameters have been identi?ed (solution dimension, regularity), not all (potential) major progress can be expressed in this framework. Symbolic integration and summation have been in a similar state.