Download or read book The Power of q written by Michael D. Hirschhorn and published by Springer. This book was released on 2017-08-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author’s personal and life-long study—inspired by Ramanujan—of aspects of this broad topic. While the level of mathematical sophistication is graduated, the book is designed to appeal to advanced undergraduates as well as researchers in the field. The principal aims are to demonstrate the power of the methods and the beauty of the results. The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities. Though not specifically designed as a textbook, parts of it may be presented in course work; it has many suitable exercises. After an introductory chapter, the power of q-series is demonstrated with proofs of Lagrange’s four-squares theorem and Gauss’s two-squares theorem. Attention then turns to partitions and Ramanujan’s partition congruences. Several proofs of these are given throughout the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers–Ramanujan identities and the Rogers–Ramanujan continued fraction, the famous “forty identities” of Ramanujan, and the representation results of Jacobi, Dirichlet and Lorenz, not to mention many other interesting and beautiful results. We also meet a challenge of D.H. Lehmer to give a formula for the number of partitions of a number into four squares, prove a “mysterious” partition theorem of H. Farkas and prove a conjecture of R.Wm. Gosper “which even Erdős couldn’t do.” The book concludes with a look at Ramanujan’s remarkable tau function.
Download or read book The Power of q written by Michael D. Hirschhorn and published by Springer. This book was released on 2017-08-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author’s personal and life-long study—inspired by Ramanujan—of aspects of this broad topic. While the level of mathematical sophistication is graduated, the book is designed to appeal to advanced undergraduates as well as researchers in the field. The principal aims are to demonstrate the power of the methods and the beauty of the results. The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities. Though not specifically designed as a textbook, parts of it may be presented in course work; it has many suitable exercises. After an introductory chapter, the power of q-series is demonstrated with proofs of Lagrange’s four-squares theorem and Gauss’s two-squares theorem. Attention then turns to partitions and Ramanujan’s partition congruences. Several proofs of these are given throughout the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers–Ramanujan identities and the Rogers–Ramanujan continued fraction, the famous “forty identities” of Ramanujan, and the representation results of Jacobi, Dirichlet and Lorenz, not to mention many other interesting and beautiful results. We also meet a challenge of D.H. Lehmer to give a formula for the number of partitions of a number into four squares, prove a “mysterious” partition theorem of H. Farkas and prove a conjecture of R.Wm. Gosper “which even Erdős couldn’t do.” The book concludes with a look at Ramanujan’s remarkable tau function.
Download or read book The Q Continuum written by Greg Cox and published by Simon and Schuster. This book was released on 2003-10-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unpredictable cosmic entity known only as Q has plagued Captain Jean-Luc Picard and the crew of the Starship Enterprise™ since their very first voyage together. But little was known of Q's mysterious past or of the unearthly realm from which he hails. Until now. A brilliant scientist may have found a way to breach the energy barrier surrounding the Milky Way galaxy, and the Enterprise is going to put it to the test. The last thing Captain Picard needs is a surprise visit from Q, but the omnipotent trickster has more in mind than his usual pranks. Kidnapping Picard, he takes the captain back through time to the moment the Q Continuum faced its greatest threat. Now Picard must learn Q's secrets -- or all of reality may perish!
Download or read book The Quantum Leap Exploring the Power and Potential of Q Star AI in Academia and Beyond written by KHRITISH SWARGIARY and published by EdTech Research Association, Scottsdale, Arizona, US. This book was released on 2024-11-01 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the ever-evolving landscape of artificial intelligence, we find ourselves at the brink of a new era marked by unprecedented technological advancements. Quantum-driven AI, specifically Q-Star AI, represents one of the most transformative innovations in this field. This book, "The Quantum Leap: Exploring the Power and Potential of Q-Star AI in Academia and Beyond," is a comprehensive examination of this groundbreaking technology, focusing on its applications within academia and its potential to shape the future of education, research, and industry. The journey to create this book began with a fascination for the possibilities of quantum computing and its application to artificial intelligence. As quantum mechanics entered the AI domain, opening doors to unparalleled computational power, I realized the profound implications for academic fields that rely heavily on data processing, modeling, and complex problem-solving. Q-Star AI stands as a unique milestone that combines the depth of quantum mechanics with the versatility of AI, capable of enhancing both scientific and social research. However, for academics, educators, and students to fully embrace and utilize Q-Star AI, a clear understanding of its capabilities, applications, and ethical implications is essential. This book aims to be more than an introduction; it is a guide that provides readers with practical tools, real-world applications, and critical perspectives on Q-Star AI. In exploring its academic applications, we delve into how Q-Star AI optimizes research methodologies across disciplines and reshapes teaching practices, learning outcomes, and data analysis. The book also addresses ethical considerations, acknowledging the need for responsible use of this technology in educational contexts.
Download or read book I Q written by John de Lancie and published by Simon and Schuster. This book was released on 2000 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science fiction roman.
Download or read book Star Trek Q Squared written by Peter David and published by Simon and Schuster. This book was released on 2012-10-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In all of his travels Captain Jean-Luc Picard has never faced an opponent more powerful than Q, a being from another continuum that Picard encountered on his very first mission as Captain of the Starship EnterpriseTM. In the years since, Q has returned again and again to harass Picard and his crew. Sometimes dangerous, sometimes merely obnoxious, Q has always been mysterious and seemingly all-powerful. But this time, when Q appears, he comes to Picard for help. Apparently another member of the Q continuum has tapped into an awesome power source that makes this being more powerful than the combined might of the entire Q continuum. This renegade Q is named Trelane, also known as the Squire of Gothos, who Captain Kirk and his crew first encountered over one hundred years ago. Q explains that, armed with this incredible power, Trelane has become unspeakably dangerous. Now Picard must get involved in an awesome struggle between super beings. And this time the stakes are not just Picard's ship, or the galaxy, or even the universe, this time the stakes are all of creation.
Download or read book Q Squared written by Peter David and published by Simon and Schuster. This book was released on 1995-08-01 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: In all of his travels Captain Jean-Luc Picard has never faced an opponent more powerful that Q, a being from another continuum that Picard encountered on his very first mission as Captain of the Starship Enterprise™. In the years since, Q has returned again and again to harass Picard and his crew. Sometimes dangerous, sometimes merely obnoxious, Q has always been mysterious and seemingly all-powerful. But this time, when Q appears, he comes to Picard for help. Apparently another member of the Q continuum has tapped into an awesome power source that makes this being more powerful than the combined might of the entire Q continuum. This renegade Q is named Trelane -- also known as the Squire of Gothos, who Captain Kirk and his crew first encountered over one hundred years ago. Q explains that, armed with this incredible power, Trelane has become unspeakably dangerous. Now Picard must get involved in an awesome struggle between super beings. And this time the stakes are not just Picard's ship, or the galaxy, or even the universe -- this time the stakes are all of creation...
Download or read book An Introduction to q analysis written by Warren P. Johnson and published by American Mathematical Soc.. This book was released on 2020-10-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
Download or read book The Metaphysics of Powers written by Anna Marmodoro and published by Routledge. This book was released on 2010-06-10 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers that advance our understanding of the metaphysics of powers — properties such as fragility and electric charge. The metaphysics of powers is a fast developing research field with fundamental questions at the forefront of current research, such as Can there be a world of only powers? What is the manifestation of a power? Are powers and their manifestations related by necessity? What are the prospects for dispositional accounts of causation? The papers focus on questions concerning the metaphysics of powers that cut across any particular subject-specific ontological domain -- whether philosophy of science, philosophy of mind, ethics, epistemology – investigating the metaphysical structure of powers, the nature of the manifestation of powers, the necessity or contingency of a power’s relation to its manifestations, and powers and causation. A number of authors also engage in discussion with Humean and neo-Humean treatments of causation, thereby making contributions to a larger metaphysical debate beyond powers. Additionally, the authors engage critically with the latest contributions to the debate on powers in the literature, thereby bringing together in a wholesome and analytical way the most recent and noteworthy theoretical developments in this research field.
Download or read book The Power Catechism written by and published by . This book was released on 1906 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Story of Q written by N. M. Freeman and published by iUniverse. This book was released on 2011 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two thousand years ago, a boy named Mateo entered an underground cave known as the Sanctuary to learn of stories 'older than the memory of man'.
Download or read book Q in Law written by Peter David and published by Simon and Schuster. This book was released on 1991-10-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: A celebration of love between two powerful rival families is cut short when the all powerful being called Q arrives and challenges the very concept of love. When two powerful rival families of the spacefaring merchant race called the Tizarin are to be joined through marriage, the U.S.S. Enterprise is chosen as the site for the wedding. Though Captain Picard is pleased by the happy duty, his pleasure is cut short by the arrival of the Federation delegate from Betazed: Lwaxana Troi—the mother of ship's counsellor, Deanna Troi. Despite Lwaxana Troi's romantic overtures toward the captain, the celebration seems to go smoothly until the situation is further complicated by the arrival of the notorious and all powerful being called Q—who has come to examine and challenge the human concept of love. Suddenly, the festivities are in turmoil, the powerful Tizarin families are on the verge of war, and Lwaxana Troi is determined to teach Q a lesson in love that he will never forget...
Download or read book The Letter Q Queer Writers Notes to Their Younger Selves written by James Lecesne and published by Scholastic Inc.. This book was released on 2012-08-01 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Life-saving letters from a glittering wishlist of top authors. If you received a letter from your older self, what do you think it would say? What do you wish it would say?That the boy you were crushing on in History turns out to be gay too, and that you become boyfriends in college? That the bully who is making your life miserable will one day become so insignificant that you won't remember his name until he shows up at your book signing?In this anthology, sixty-three award-winning authors such as Michael Cunningham, Amy Bloom, Jacqueline Woodson, Gregory Maguire, David Levithan, and Armistead Maupin make imaginative journeys into their pasts, telling their younger selves what they would have liked to know then about their lives as Lesbian, Gay, Bisexual, or Transgendered people. Through stories, in pictures, with bracing honesty, these are words of love and understanding, reasons to hold on for the better future ahead. They will tell you things about your favorite authors that you never knew before. And they will tell you about yourself.
Download or read book Star Trek The Q Conflict written by Scott Tipton and published by IDW Publishing. This book was released on 2019-10-30 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The captains of the Original Series, The Next Generation, Voyager, and Deep Space Nine meet for the first time in a contest of unwilling champions! When a dispute between godlike beings threatens the galaxy, it will take all of Starfleet's best captains to stop them. Join James T. Kirk, Jean-Luc Picard, Kathryn Janeway, and Benjamin Sisko as they go head-to-head in a competition that will determine the fate of the Earth and beyond. Will they be able to emerge victorious, or will they be torn apart by THE Q CONFLICT?
Download or read book The Lost Gospel Q written by Marcus Borg and published by Ulysses Press. This book was released on 1999-03-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the original teachings of Jesus written by his contemporaries and early followers
Download or read book Q Tasks 2nd Edition written by Koechlin, Carol and published by Pembroke Publishers Limited. This book was released on 2014-10-01 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions and questioning are key skills in successful learning. The original Q Tasks was instrumental in showing teachers how to give students the tools they need to develop their own questions and build critical thinking and inquiry skills. This new, totally revised edition continues to nurture and advance these crucial skills, and also offers Q-task extensions that introduce digital components that facilitate collaboration and are designed to appeal to tech-savvy students. More than 100 practical, flexible exercises in this remarkable book provide a smorgasbord of choices for teachers to use to help students formulate good questions in an information-rich environment. They put the students at the centre of their own learning as they build the library and research skills that are essential to our information age. Teachers will find innovative ways to help students go beyond memorization and rote learning of facts to focus on personal understanding, and true ownership of the learning experience.
Download or read book Grit written by Angela Duckworth and published by Simon and Schuster. This book was released on 2016-05-03 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this instant New York Times bestseller, Angela Duckworth shows anyone striving to succeed that the secret to outstanding achievement is not talent, but a special blend of passion and persistence she calls “grit.” “Inspiration for non-geniuses everywhere” (People). The daughter of a scientist who frequently noted her lack of “genius,” Angela Duckworth is now a celebrated researcher and professor. It was her early eye-opening stints in teaching, business consulting, and neuroscience that led to her hypothesis about what really drives success: not genius, but a unique combination of passion and long-term perseverance. In Grit, she takes us into the field to visit cadets struggling through their first days at West Point, teachers working in some of the toughest schools, and young finalists in the National Spelling Bee. She also mines fascinating insights from history and shows what can be gleaned from modern experiments in peak performance. Finally, she shares what she’s learned from interviewing dozens of high achievers—from JP Morgan CEO Jamie Dimon to New Yorker cartoon editor Bob Mankoff to Seattle Seahawks Coach Pete Carroll. “Duckworth’s ideas about the cultivation of tenacity have clearly changed some lives for the better” (The New York Times Book Review). Among Grit’s most valuable insights: any effort you make ultimately counts twice toward your goal; grit can be learned, regardless of IQ or circumstances; when it comes to child-rearing, neither a warm embrace nor high standards will work by themselves; how to trigger lifelong interest; the magic of the Hard Thing Rule; and so much more. Winningly personal, insightful, and even life-changing, Grit is a book about what goes through your head when you fall down, and how that—not talent or luck—makes all the difference. This is “a fascinating tour of the psychological research on success” (The Wall Street Journal).
