The mathematical theory of context-free languages by S. Ginsburg

By S. Ginsburg

The idea that of a Context-free Language was once first brought via Chomsky in 1959 [Ch three] (Refers to N. Chomsky, 3d directory, within the References and comparable Papers" on the finish of the ebook. an analogous shorthand shape utilized in the textual content, for instance, [Ch 3], precedes the corresponding access within the "References.") in an try and discover a moderate mathematical version of traditional languages resembling English, French, and so forth. within the interval 1959-1960, numerous papers constructing the idea have been written [Ch three, four; CM; BGS; BPS]. In overdue 1960, it was once stumbled on that the "ALGOL-like" languages, that's, the languages outlined by means of Backus common shape (the metalanguage used to explain the generally publicized programming language ALGOL-60), have been exact with the context-free languages. on the grounds that then, there was a flurry of job within the theoretical improvement of context-free languages..." [from the preface]

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Hidden Harmonies: The Lives and Times of the Pythagorean by Robert Kaplan, Ellen Kaplan

By Robert Kaplan, Ellen Kaplan

A squared plus b squared equals c squared. It sounds easy, doesn’t it? but this well-known expression opens a gateway into the riotous backyard of arithmetic, and sends us on a trip of exploration within the corporation of 2 encouraged courses, Robert and Ellen Kaplan. With wit, verve, and readability, they hint the lifetime of the Pythagorean theorem, from old Babylon to the current, vacationing alongside the best way Leonardo da Vinci, Albert Einstein, President James Garfield, and the Freemasons—not to say the elusive Pythagoras himself, who very likely didn't make the assertion that bears his identify. As within the authors’ bestselling The not anything that's and Chances Are..., the buzz of arithmetic leaps from the pages of Hidden Harmonies.

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The Complete Book of Fun Maths: 250 Confidence-boosting by Philip Carter, Ken Russell

By Philip Carter, Ken Russell

The belief of this publication is to assist construct self belief with maths through a sequence of exams and puzzles. After a gradual 'warm-up' part, the puzzles and exams get more and more demanding over the process the ebook. there's a tricks part for readers who get caught, in addition to an entire set of solutions for each attempt behind the book.

After the 'warm-up' part, there are puzzles and assessments on 'lateral thinking', 'fun with numbers', 'logic puzzles', 'geometrical puzzles' and 'difficult puzzles'. Readers will quickly familiarize yourself and happy with more than a few methods and assessments, from magic quantity squares to Fibonacci numbers.

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The Mountain Pass Theorem: Variants, Generalizations and by Youssef Jabri

By Youssef Jabri

Joussef Jabri provides min-max equipment via a finished research of different faces of the prestigious Mountain go Theorem (MPT) of Ambrosetti and Rabinowitz. Jabri clarifies the extensions and versions of the MPT in an entire and unified manner and covers typical themes: the classical and twin MPT; second-order details from playstation sequences; symmetry and topological index conception; perturbations from symmetry; convexity and extra. He additionally covers the non-smooth MPT; the geometrically limited MPT; numerical techniques to the MPT; or even extra unique editions. A bibliography and particular index also are integrated.

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Decomposition Methods for Differential Equations: Theory and by Juergen Geiser

By Juergen Geiser

Decomposition equipment for Differential Equations: conception and functions describes the research of numerical equipment for evolution equations in line with temporal and spatial decomposition equipment. It covers real-life difficulties, the underlying decomposition and discretization, the steadiness and consistency research of the decomposition equipment, and numerical results.

The booklet specializes in the modeling of chosen multi-physics difficulties, earlier than introducing decomposition research. It offers time and area discretization, temporal decomposition, and the combo of time and spatial decomposition tools for parabolic and hyperbolic equations. the writer then applies those how you can numerical difficulties, together with try out examples and real-world difficulties in actual and engineering purposes. For the computational effects, he makes use of a variety of software program instruments, similar to MATLAB®, R3T, WIAS-HiTNIHS, and OPERA-SPLITT.

Exploring iterative operator-splitting tools, this booklet exhibits the best way to use higher-order discretization how to clear up differential equations. It discusses decomposition equipment and their effectiveness, mix hazard with discretization equipment, multi-scaling chances, and balance to preliminary and boundary values problems.

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Semigroup Theory and Evolution Equations: The 2nd by Clement P. (ed.), de Pagter B. (ed.), Mitidieri E. (ed.)

By Clement P. (ed.), de Pagter B. (ed.), Mitidieri E. (ed.)

Lawsuits of the second one overseas convention on traits in Semigroup conception and Evolution Equations held Sept. 1989, Delft collage of know-how, the Netherlands. Papers take care of fresh advancements in semigroup thought (e.g., optimistic, twin, integrated), and nonlinear evolution equations

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