Imagining Numbers

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Publisher : Penguin UK
ISBN 13 : 0141931701
Total Pages : 288 pages
Book Rating : 4.1/5 (419 download)

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Book Synopsis Imagining Numbers by : Barry Mazur

Download or read book Imagining Numbers written by Barry Mazur and published by Penguin UK. This book was released on 2004-03-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book shows how the art of mathematical imagining is not as mysterious as it seems. Drawing on a variety of artistic resources the author reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

Mathematical Imagining

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Publisher : Taylor & Francis
ISBN 13 : 1003839231
Total Pages : 255 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematical Imagining by : Christof Weber

Download or read book Mathematical Imagining written by Christof Weber and published by Taylor & Francis. This book was released on 2023-10-10 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine a plastic cup lying on the floor. Give the cup a nudge so that it begins to roll. What does the path it takes look like? So begins the journey that Christof Weber takes you on in Mathematical Imagining: A Routine for Secondary Classrooms . Along the way, he makes the case that the ability to imagine, manipulate, and explain mathematical images and situations is fundamental to all mathematics and particularly important to higher level study. Most importantly, drawing on years of experiments in his own classroom, Weber shows that mathematical imagining is a skill that can be taught efficiently and effectively. Mathematical Imagining describes an original routine that gives students space and time to imagine a mathematical situation and then revise, discuss, and act upon the mental images they create. You can use this creative routine to glimpse into your students' thinking and discover teaching opportunities, while empowering them to create their own mathematics.Inside you’ll find the following: An introduction to the routine including the rationale behind it, facilitation guidance, and classroom examples Modifications to implement the routine in your classroom, even with varying time constraints 37 exercises broken into four categories: constructions, problem-solving, reasoning, and paradoxes Discussions of the mathematics involved in each exercise, including possible follow-up questions Instructions on how to create your own exercises beyond the book This one-of-a-kind resource is for secondary teachers looking to inspire student creativity and curiosity, deepen their own subject matter knowledge and pedagogical content knowledge, and invite all students to access the power of their own mathematical imaginations.

The Book of Numbers

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Publisher : Springer Science & Business Media
ISBN 13 : 1461240727
Total Pages : 313 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Book of Numbers by : John H. Conway

Download or read book The Book of Numbers written by John H. Conway and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL

Making Numbers Count

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Publisher : Simon and Schuster
ISBN 13 : 1982165456
Total Pages : 208 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis Making Numbers Count by : Chip Heath

Download or read book Making Numbers Count written by Chip Heath and published by Simon and Schuster. This book was released on 2022-01-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.

The Story Of Numbers

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Author :
Publisher : #N/A
ISBN 13 : 9813222948
Total Pages : 196 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis The Story Of Numbers by : Mallik Asok Kumar

Download or read book The Story Of Numbers written by Mallik Asok Kumar and published by #N/A. This book was released on 2017-07-27 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers. Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of "Chaos". Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail. The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level. The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

Imagining the Creator God

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Publisher : Wipf and Stock Publishers
ISBN 13 : 1532610157
Total Pages : 253 pages
Book Rating : 4.5/5 (326 download)

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Book Synopsis Imagining the Creator God by : Georges De Schrijver

Download or read book Imagining the Creator God written by Georges De Schrijver and published by Wipf and Stock Publishers. This book was released on 2016-09-30 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since it was demonstrated in the 1920s that the universe, with its trillions of galaxies, is caught up in a process of steady expansion, it became evident that it must have originated from an "initial singularity," a "Big Bang," which gave rise to the formation of subatomic parts, atoms, molecules, clouds of gas, and finally, stars and galaxies. Running this expansion back in time, scientists began to reckon with the miracle of an evolving universe of which we are the outcome: the iron in our blood has been formed in the stars. This book gives an overview of the cosmologies that were in vogue in antiquity­--the Jewish and Christian concepts of Creation, and the classical thinkers in Greek cosmology: Plato, Aristotle, and Ptolemy--and in modern times, Copernicus, Galileo, Kepler, and Newton. The book brings us right down to the present day with a careful and readable treatment of the scientific innovations inaugurated by Einstein and the specialists in quantum physics, and to recent developments in astrophysics. This path of exploration opens the avenue for imagining a Creator God who is so generous that he invites creation to share in his own creativity.

Imagining Human Rights

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311037661X
Total Pages : 235 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Imagining Human Rights by : Susanne Kaul

Download or read book Imagining Human Rights written by Susanne Kaul and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-09-25 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why is it that human rights are considered inviolable norms of justice at local and global scales although the number of their violations has steadily increased in modern history? On the surface, this paradox seems to be reducible to a straightforward discrepancy between idealism and reality in humanitarian affairs, but Imagining Human Rights complicates the picture by offering interdisciplinary perspectives on the imaginary status of human rights. By that the contributors mean not merely subject to imagination, open to interpretation or far too abstract, but also formative of a social imaginary with emphatic identifications and shared values. From a variety of disciplinary perspectives, they explore critical ways of engaging in rigorous interdisciplinary conversations about the origin and language of human rights, personal dignity, redistributive justice, and international solidarity. Together, they show how and why a careful examination of the intersection between disciplinary investigations is essential for imagining human rights at large. Examples range from the legitimacy of land ownership rights and the inadequacy of human faculty to make sense of mass violence in visual representation to the stewardship of human rights promoters and the genealogy of human rights.

Symbols and Things

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Publisher : University of Pittsburgh Press
ISBN 13 : 0822988410
Total Pages : 299 pages
Book Rating : 4.8/5 (229 download)

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Book Synopsis Symbols and Things by : Kevin Lambert

Download or read book Symbols and Things written by Kevin Lambert and published by University of Pittsburgh Press. This book was released on 2021-10-12 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the steam-powered mechanical age of the eighteenth and nineteenth centuries, the work of late Georgian and early Victorian mathematicians depended on far more than the properties of number. British mathematicians came to rely on industrialized paper and pen manufacture, railways and mail, and the print industries of the book, disciplinary journal, magazine, and newspaper. Though not always physically present with one another, the characters central to this book—from George Green to William Rowan Hamilton—relied heavily on communication technologies as they developed their theories in consort with colleagues. The letters they exchanged, together with the equations, diagrams, tables, or pictures that filled their manuscripts and publications, were all tangible traces of abstract ideas that extended mathematicians into their social and material environment. Each chapter of this book explores a thing, or assembling of things, mathematicians needed to do their work—whether a textbook, museum, journal, library, diagram, notebook, or letter—all characteristic of the mid-nineteenth-century British taskscape, but also representative of great change to a discipline brought about by an industrialized world in motion.

Really Big Numbers

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Publisher : American Mathematical Soc.
ISBN 13 : 1470414252
Total Pages : 194 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Really Big Numbers by : Richard Evan Schwartz

Download or read book Really Big Numbers written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2014-06-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.

Divine Imagining

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Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Divine Imagining by : Edward Douglas Fawcett

Download or read book Divine Imagining written by Edward Douglas Fawcett and published by . This book was released on 1921 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analyzing Neural Time Series Data

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Publisher : MIT Press
ISBN 13 : 026231956X
Total Pages : 615 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Analyzing Neural Time Series Data by : Mike X Cohen

Download or read book Analyzing Neural Time Series Data written by Mike X Cohen and published by MIT Press. This book was released on 2014-01-17 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to the conceptual, mathematical, and implementational aspects of analyzing electrical brain signals, including data from MEG, EEG, and LFP recordings. This book offers a comprehensive guide to the theory and practice of analyzing electrical brain signals. It explains the conceptual, mathematical, and implementational (via Matlab programming) aspects of time-, time-frequency- and synchronization-based analyses of magnetoencephalography (MEG), electroencephalography (EEG), and local field potential (LFP) recordings from humans and nonhuman animals. It is the only book on the topic that covers both the theoretical background and the implementation in language that can be understood by readers without extensive formal training in mathematics, including cognitive scientists, neuroscientists, and psychologists. Readers who go through the book chapter by chapter and implement the examples in Matlab will develop an understanding of why and how analyses are performed, how to interpret results, what the methodological issues are, and how to perform single-subject-level and group-level analyses. Researchers who are familiar with using automated programs to perform advanced analyses will learn what happens when they click the “analyze now” button. The book provides sample data and downloadable Matlab code. Each of the 38 chapters covers one analysis topic, and these topics progress from simple to advanced. Most chapters conclude with exercises that further develop the material covered in the chapter. Many of the methods presented (including convolution, the Fourier transform, and Euler's formula) are fundamental and form the groundwork for other advanced data analysis methods. Readers who master the methods in the book will be well prepared to learn other approaches.

Guide to Essential Math

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Publisher : Newnes
ISBN 13 : 0124071589
Total Pages : 320 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Guide to Essential Math by : Sy M. Blinder

Download or read book Guide to Essential Math written by Sy M. Blinder and published by Newnes. This book was released on 2013-02-14 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations. Use of proven pedagogical techniques developed during the author’s 40 years of teaching experience New practice problems and exercises to enhance comprehension Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables

Imagining the Internet

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Publisher : Rowman & Littlefield Publishers
ISBN 13 : 0742568660
Total Pages : 319 pages
Book Rating : 4.7/5 (425 download)

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Book Synopsis Imagining the Internet by : Janna Quitney Anderson

Download or read book Imagining the Internet written by Janna Quitney Anderson and published by Rowman & Littlefield Publishers. This book was released on 2005-07-21 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early 1990s, people predicted the death of privacy, an end to the current concept of 'property,' a paperless society, 500 channels of high-definition interactive television, world peace, and the extinction of the human race after a takeover engineered by intelligent machines. Imagining the Internet zeroes in on predictions about the Internet's future and revisits past predictions—and how they turned out. It gives the history of communications in a nutshell, illustrating the serious impact of pervasive networks and how they will change our lives over the next century.

Circles Disturbed

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Publisher : Princeton University Press
ISBN 13 : 0691149046
Total Pages : 592 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Circles Disturbed by : Apostolos Doxiadis

Download or read book Circles Disturbed written by Apostolos Doxiadis and published by Princeton University Press. This book was released on 2012-03-18 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why narrative is essential to mathematics Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds—stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities. A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of "myths of origins" in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more. In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.

e: The Story of a Number

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Publisher : Princeton University Press
ISBN 13 : 1400832349
Total Pages : 242 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis e: The Story of a Number by : Eli Maor

Download or read book e: The Story of a Number written by Eli Maor and published by Princeton University Press. This book was released on 2011-10-12 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

Mathematics and the Imagination

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Publisher : Courier Corporation
ISBN 13 : 0486320278
Total Pages : 400 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Mathematics and the Imagination by : Edward Kasner

Download or read book Mathematics and the Imagination written by Edward Kasner and published by Courier Corporation. This book was released on 2013-04-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.

Enchantress of Numbers

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Publisher : Penguin
ISBN 13 : 1101985216
Total Pages : 450 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Enchantress of Numbers by : Jennifer Chiaverini

Download or read book Enchantress of Numbers written by Jennifer Chiaverini and published by Penguin. This book was released on 2018-11-27 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Cherished Reader, Should you come upon Enchantress of Numbers by Jennifer Chiaverini...consider yourself quite fortunate indeed....Chiaverini makes a convincing case that Ada Byron King is a woman worth celebrating.”—USA Today The New York Times bestselling author of Mrs. Lincoln's Dressmaker and Switchboard Soldiers illuminates the life of Ada Byron King, Countess of Lovelace—Lord Byron's daughter and the world's first computer programmer. The only legitimate child of Lord Byron, the most brilliant, revered, and scandalous of the Romantic poets, Ada was destined for fame long before her birth. But her mathematician mother, estranged from Ada's infamous and destructively passionate father, is determined to save her only child from her perilous Byron heritage. Banishing fairy tales and make-believe from the nursery, Ada’s mother provides her daughter with a rigorous education grounded in mathematics and science. Any troubling spark of imagination—or worse yet, passion or poetry—is promptly extinguished. Or so her mother believes. When Ada is introduced into London society as a highly eligible young heiress, she at last discovers the intellectual and social circles she has craved all her life. Little does she realize how her exciting new friendship with Charles Babbage—the brilliant, charming, and occasionally curmudgeonly inventor of an extraordinary machine, the Difference Engine—will define her destiny. Enchantress of Numbers unveils the passions, dreams, and insatiable thirst for knowledge of a largely unheralded pioneer in computing—a young woman who stepped out of her father’s shadow to achieve her own laurels and champion the new technology that would shape the future.