To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    Numerous examples throughout provide readers with real-life applications of the concepts of analog and digital communications systems, while chapter-end questions and problems give them a chance to test and review their understanding of fundamental and key topics. Modern digital and data communications systems, microwave radio communications systems, satellite communications systems, and optical fiber communications systems. Cellular and PCS telephone systems coverage presents the latest and most innovative technological advancements being made in cellular communication systems. Optical fiber communications chapter includes new sections on light sources, optical power, optical sources and link budget. Current topics include trellis encoding, CCITT modem recommendations, PCM line speed, extended superframe format, wavelength division multiplexing, Kepler's laws, Clark orbits, limits of visibility, Satellite Radio Navigation and Navstar GPS. For the study of electronic communications systems.

    As hundreds of great new breweries have opened across the country and around the world, quality ales and lagers have been given an importance never before imagined. Despite beer's renaissance, however, no one seems to have focused on why beer suddenly matters, or what it is about beer that makes it the drink for our age. In this 6,500-word (20-page) personal essay, Evan Rail investigates several compelling aspects of beer beyond its principal role as a great drink, from its very real sense of place to its unusual relationship with the passing of time.

    To Taylor, self-fulfillment, although often expressed in self-centered ways, isn't necessarily a rejection of traditional values and social commitment; it also reflects something authentic and valuable in modern culture. Only by distinguishing what is good in this modern striving from what is socially and politically dangerous, Taylor says, can our age be made to deliver its promise.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    With his own research as well as that of some of the most distinguished scientists of our time, Schäfer moves us from a reality of Darwinian competition to cooperation, a meaningless universe to a meaningful one, and a disconnected, isolated existence to an interconnected one. In so doing, he shows us that our potential is infinite and calls us to live in accordance with the order of the universe, creating a society based on the cosmic principle of connection, emphasizing cooperation and community.

    But Tao cannot fully be explained in words; it can only felt and experienced. Tao is something you live, day by day, moment by moment. It s the omnipresent oneness beyond ephemeral phenomena that expresses itself in everything. New York Times bestselling author Ilchi Lee, an enlightened Tao master from South Korea, has laid out a path to living Tao everyday. Along this path, he guides you to an understanding of the meaning of birth, death, and everything in between, building a foundation for living a complete and whole life. The universal principles contained in "Living Tao: Timeless Principles for Everyday Enlightenment" stem from the Korean practice of Sundo, an ancient tradition of mind-body training, as well as Lee s own life experience. With these tangible principles, Ilchi Lee makes this profound topic simple and accessible. "Living Tao" has an unparalleled depth in its simplicity that anyone can absorb and immediately apply. * 2015 INDIEFAB Book of the Year Award Winner, Bronze, Body, Mind & Spirit"

    Quine's areas of interest are panoramic, as this lively book amply demonstrates.Moving from A (alphabet) to Z (zero), Quiddities roams through more than eighty topics, each providing a full measure of piquant thought, wordplay, and wisdom, couched in easy and elegant prose--"Quine at his unbuttoned best," in Donald Davidson's words. Philosophy, language, and mathematics are the subjects most fully represented; tides of entries include belief, communication, free will, idiotisms, longitude and latitude, marks, prizes, Latin pronunciation, tolerance, trinity. Even the more technical entries are larded with homely lore, anecdote, and whimsical humor.Quiddities will be a treat for admirers of Quine and for others who like to think, who care about language, and who enjoy the free play of intellect on topics large and small. For this select audience, it is an ideal book for browsing.

     The Viking Age! A brief footprint in the course of history that impacted generations hundreds of years into the future. You will dive into the depths of Scandinavia to find out what made the Vikings the most feared group of people in the European Middle Ages. Experts at warfare and navigating the high seas, the Vikings were on a mission and would not let anyone stand in their way! Brutal conquerors they were, but the Vikings were no mere savages. The Vikings had a unique culture and society that spread much influence through transcontinental trade and exploration into unknown worlds. Navigate the Vikings' journey from their first encounters with the inhabitants of the British Isles to their discoveries of Greenland and North America. Along the way, meet some of the most famous Vikings to ever walk the face of the Earth. You will meet the infamous legend Ragnar Lothbrok whose very existence is shrouded in mystery. Step into the shoes of the first European explorer to step foot onto the lands of North America, Leif Erikson. Countless other warriors, kings, and explorers left their mark that paved the path the world has taken to this very day. Get your copy now! Relive their journeys through the eyes of a Viking and discover the makings of this fascinating civilization!

     Your commitment to work at your absolute best moves me. Your readiness to acknowledge your weakness encourages me to give even more of my life to helping people free themselves from their self-made prisons. May your passions be ignited. May your life and that of those around you become magically abundant.M This book is the first in 'THE OBSTACLE IS YOU' series. The letters of my readers have moved me deeply and encouraged me to distill everything that I have learned about the art of living into a series of life lessons. Hence, I set about compiling the best information I have to give into a book that I genuinely believe will transform your life. How to Love Yourself? Do you ever feel like life is slipping by so fast that you might not get the chance to live with meaning and the happiness you deserve? If so, then this very special book will be the guiding light that leads you to a brilliant new way of living. In this extremely easy to read yet wisdom rich manual, I offer eleven simple solutions to life's most complex problems, ranging from methods to succeed to powerful ways to enjoy the journey while you create a legacy that lasts. The words in this book are heartfelt and written in high hope that you will not only connect with the wisdom that I have respectfully offered but also act on it to create lasting improvements in every area of your life. Amidst my own trials and tribulations I have learned that it is not enough to know what to do, we must act immediately on the knowledge in order to create the lives we so dearly want. So, as you turn the pages of this first book in 'THE OBSTACLE IS YOU' series, I hope you will discover a wealth of wisdom that will immensely enrich the quality of your physical, emotional and spiritual life. Please do write to me to share how you have integrated the lessons in this book into the way you live. I will do my very best to respond to your mails with a personal note. I wish you peace, prosperity and many happy days spent engaged in a worthy purpose.

    Fully stocked with solved problemsN950 of themNit shows you how to solve problems that may not have been fully explained in class. Plus you ge"

    The Seven Deadly Virtues sits down next to readers at the bar, buys them a drink, and an hour or three later, ushers them into the revival tent without them even realizing it.   The book’s contributors include Sonny Bunch, Christopher Buckley, David “Iowahawk” Burge, Christopher Caldwell, Andrew Ferguson, Jonah Goldberg, Michael Graham, Mollie Hemingway, Rita Koganzon, Matt Labash, James Lileks, Rob Long, Larry Miller, P. J. O’Rourke, Joe Queenan, Christine Rosen, and Andrew Stiles. Jonathan V. Last, senior writer at the Weekly Standard, editor of the collection, is also a contributor. All eighteen essays in this book are appearing for the first time anywhere.   In the book’s opening essay, P. J. O’Rourke observes: “Virtue has by no means disappeared. It’s as much in public view as ever. But it’s been strung up by the heels. Virtue is upside down. Virtue is uncomfortable. Virtue looks ridiculous. All the change and the house keys are falling out of Virtue’s pants pockets.”   Here are the virtues everyone (including the book’s contributors) was taught in Sunday school but have totally forgotten about until this very moment.  In this sanctimony-free zone:   • Joe Queenan observes: “In essence, thrift is a virtue that resembles being very good at Mahjong. You’ve heard about people who can do it, but you’ve never actually met any of them.” • P. J. O’Rourke notes: “Fortitude is quaint. We praise the greatest generation for having it, but they had aluminum siding, church on Sunday, and jobs that required them to wear neckties or nylons (but never at the same time). We don’t want those either.” • Christine Rosen writes: “A fellowship grounded in sociality means enjoying the company of those with whom you actually share physical space rather than those with whom you regularly and enthusiastically exchange cat videos.” • Rob Long offers his version of modern day justice: if you sleep late on the weekend, you are forced to wait thirty minutes in line at Costco. • Jonah Goldberg offers: “There was a time when this desire-to-do-good-in-all-things was considered the only kind of integrity: ‘Angels are better than mortals. They’re always certain about what is right because, by definition, they’re doing God’s will.’ Gabriel knew when it was okay to remove a mattress tag and Sandalphon always tipped the correct amount.” • Sonny Bunch dissects forbearance, observing that the fictional Two Minutes Hate of George Orwell’s 1984 is now actually a reality directed at living, breathing people. Thanks, in part, to the Internet, “Its targets are designated by a spontaneously created mob—one that, due to its hive-mind nature—is virtually impossible to call off.”   By the time readers have completed The Seven Deadly Virtues, they won’t even realize that they’ve just been catechized into an entirely different—and better—moral universe.

    At a glance, it bears few similarities to any place we know and inhabit. But upon closer examination, the differences between this complex virtual reality and our own might not be as vast as we think. In “How You Play the Game,” author and philosopher Charlie Huenemann looks philosophically at the game of Minecraft (“What is the point of this game? How does one win? Well, this depends on what you want to do”) and grapples with the ethical conundrums, existential crises and moral responsibilities of the virtual realm. From the Overworld to the Ender Dragon, Huenemann offers an entertaining, insightful and often hilarious examination of Minecraft and the strange worlds—both virtual and not—surrounding it.Charlie Huenemann is a Professor of Philosophy at Utah State University. He writes for 3quarksdaily, and has published several books on the history of philosophy.Cover design by Adil Dara.

    

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.