The Universal Language Of Mathematics
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Statistical Universals Of Language
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Author : Kumiko Tanaka-Ishii
language : en
Publisher: Springer Nature
Release Date : 2021-04-01
Statistical Universals Of Language written by Kumiko Tanaka-Ishii and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Mathematics categories.
This volume explores the universal mathematical properties underlying big language data and possible reasons why such properties exist, revealing how we may be unconsciously mathematical in our language use. These properties are statistical and thus different from linguistic universals that contribute to describing the variation of human languages, and they can only be identified over a large accumulation of usages. The book provides an overview of state-of-the art findings on these statistical universals and reconsiders the nature of language accordingly, with Zipf's law as a well-known example. The main focus of the book further lies in explaining the property of long memory, which was discovered and studied more recently by borrowing concepts from complex systems theory. The statistical universals not only possibly lie as the precursor of language system formation, but they also highlight the qualities of language that remain weak points in today's machine learning. In summary, this book provides an overview of language's global properties. It will be of interest to anyone engaged in fields related to language and computing or statistical analysis methods, with an emphasis on researchers and students in computational linguistics and natural language processing. While the book does apply mathematical concepts, all possible effort has been made to speak to a non-mathematical audience as well by communicating mathematical content intuitively, with concise examples taken from real texts.
The Mathematics Of Language
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Author : Marcus Kracht
language : en
Publisher: Walter de Gruyter
Release Date : 2003
The Mathematics Of Language written by Marcus Kracht and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Language Arts & Disciplines categories.
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The Language Of Mathematics
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Author : Mohan Ganesalingam
language : en
Publisher: Springer
Release Date : 2013-03-14
The Language Of Mathematics written by Mohan Ganesalingam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Computers categories.
The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers
The Language Of Mathematics
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Author : Robert L. Baber
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-09
The Language Of Mathematics written by Robert L. Baber and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Mathematics categories.
A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.
The Eerie Silence
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Author : Paul Davies
language : en
Publisher: Penguin UK
Release Date : 2010-03-04
The Eerie Silence written by Paul Davies and has been published by Penguin UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-04 with Science categories.
Paul Davies' The Eerie Silence: Searching For Ourselves in the Universe is an engaging and lucid guide to the 'Fermi Paradox' - why isn't the universe teeming with alien life? If aliens ever contact us, it will be the single most significant event in human history. And Paul Davies will be responsible for saying something back. For fifty years the Search for Extra-Terrestrial Intelligence has been scanning the skies. Now Davies, head of SETI's Post-Detection Task Group, with 'a rare talent for making physics mind-bogglingly vivid and exciting' (Times Higher Education), explores what the mysterious silence it has encountered could mean. Here he looks at exciting new ways to make contact with extra-terrestrial life. He considers what form advanced alien intelligence is likely to take if it exists. And more importantly, what exactly it would mean if it didn't - how extraordinary it would be if we were alone, to be human and here in this staggering, eerie silence... 'A magnificent cosmic tour of what might be out there in space' Sunday Times 'Rather wonderful' New Scientist 'Conveys excellently the fascination of the quest' The Times 'An authoritatively written, immensely clear, lay person's guide to the many things we don't know about the rest of the universe' Guardian Paul Davies is Director of the BEYOND Center for Fundamental Concepts in Science, and co-Director of the Cosmology Initiative, both at Arizona State University. An internationally-acclaimed physicist, writer and broadcaster, Davies is the author of some twenty award-winning books, including The Eerie Silence: Searching for Ourselves in the Universe, The Goldilocks Enigma: Why is the Universe Just Right for Life? and The Mind of God: Science and the Search for Ultimate Meaning.
Jacques Hadamard
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Author : Vladimir Gilelevič Mazʹâ
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Jacques Hadamard written by Vladimir Gilelevič Mazʹâ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Biography & Autobiography categories.
This book presents a fascinating story of the long life and great accomplishments of Jacques Hadamard (1865-1963), who was once called 'the living legend of mathematics'. As one of the last universal mathematicians, Hadamard's contributions to mathematics are landmarks in various fields. His life is linked with world history of the 20th century in a dramatic way. This work provides an inspiring view of the development of various branches of mathematics during the 19th and 20th centuries.Part I of the book portrays Hadamard's family, childhood and student years, scientific triumphs, and his personal life and trials during the first two world wars. The story is told of his involvement in the Dreyfus affair and his subsequent fight for justice and human rights. Also recounted are Hadamard's worldwide travels, his famous seminar, his passion for botany, his home orchestra, where he played the violin with Einstein, and his interest in the psychology of mathematical creativity. Hadamard's life is described in a readable and inviting way.The authors humorously weave throughout the text his jokes and the myths about him. They also movingly recount the tragic side of his life. Stories about his relatives and friends, and old letters and documents create an authentic and colorful picture. The book contains over 300 photographs and illustrations. Part II of the book includes a lucid overview of Hadamard's enormous work, spanning over six decades. The authors do an excellent job of connecting his results to current concerns.While the book is accessible to beginners, it also provides rich information of interest to experts. Vladimir Mazya and Tatyana Shaposhnikova were the 2003 laureates of the Insitut de France's Prix Alfred Verdaguer. One or more prizes are awarded each year, based on suggestions from the Academie francaise, the Academie de sciences, and the Academie de beaux-arts, for the most remarkable work in the arts, literature, and the sciences. In 2003, the award for excellence was granted in recognition of Mazya and Shaposhnikova's book, ""Jacques Hadamard, A Universal Mathematician"", which is both an historical book about a great citizen and a scientific book about a great mathematician.
The Joy Of X
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Author : Steven Strogatz
language : en
Publisher: Atlantic Books Ltd
Release Date : 2012-11-01
The Joy Of X written by Steven Strogatz and has been published by Atlantic Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-01 with Mathematics categories.
Award-winning Steven Strogatz, one of the foremost popularisers of maths, has written a witty and fascinating account of maths' most compelling ideas and how, so often, they are an integral part of everyday life. Maths is everywhere, often where we don't even realise. Award-winning professor Steven Strogatz acts as our guide as he takes us on a tour of numbers that - unbeknownst to the unitiated - connect pop culture, literature, art, philosophy, current affairs, business and even every day life. In The Joy of X, Strogatz explains the great ideas of maths - from negative numbers to calculus, fat tails to infinity - with clarity, wit and insight. He is the maths teacher you never had and this book is perfect for the smart and curious, the expert and the beginner.
The Universe In Zero Words
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Author : Dana Mackenzie
language : en
Publisher: Princeton University Press
Release Date : 2013-08-25
The Universe In Zero Words written by Dana Mackenzie and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-25 with Mathematics categories.
Most popular books about science, and even about mathematics, tiptoe around equations as if they were something to be hidden from the reader's tender eyes. Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of mathematics--the universal language of science--keep the masterpieces of the subject hidden behind a veil? The Universe in Zero Words tells the history of twenty-four great and beautiful equations that have shaped mathematics, science, and society--from the elementary (1+1=2) to the sophisticated (the Black-Scholes formula for financial derivatives), and from the famous (E=mc2) to the arcane (Hamilton's quaternion equations). Mackenzie, who has been called "a popular-science ace" by Booklist magazine, lucidly explains what each equation means, who discovered it (and how), and how it has affected our lives. Illustrated in color throughout, the book tells the human and often-surprising stories behind the invention or discovery of the equations, from how a bad cigar changed the course of quantum mechanics to why whales (if they could communicate with us) would teach us a totally different concept of geometry. At the same time, the book shows why these equations have something timeless to say about the universe, and how they do it with an economy (zero words) that no other form of human expression can match. The Universe in Zero Words is the ultimate introduction and guide to equations that have changed the world.
The Language Of Mathematics
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Author : Frank Land
language : en
Publisher:
Release Date : 1960
The Language Of Mathematics written by Frank Land and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.
Principles To Actions
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Author : National Council of Teachers of Mathematics
language : en
Publisher: National Council of Teachers of Mathematics, Incorporated
Release Date : 2014-02
Principles To Actions written by National Council of Teachers of Mathematics and has been published by National Council of Teachers of Mathematics, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Curriculum planning categories.
This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.