An accessible introduction to an exciting new area in computation, explaining such topics as qubits, entanglement, and quantum teleportation for the general reader. Quantum computing is a beautiful fusion of quantum physics and computer science, incorporating some of the most stunning ideas from twentieth-century physics into an entirely new way of thinking about computation. In this book, Chris Bernhardt offers an introduction to quantum computing that is accessible to anyone who is comfortable with high school mathematics. He explains qubits, entanglement, quantum teleportation, quantum algorithms, and other quantum-related topics as clearly as possible for the general reader. Bernhardt, a mathematician himself, simplifies the mathematics as much as he can and provides elementary examples that illustrate both how the math works and what it means. Bernhardt introduces the basic unit of quantum computing, the qubit, and explains how the qubit can be measured; discusses entanglement--which, he says, is easier to describe mathematically than verbally--and what it means when two qubits are entangled (citing Einstein's characterization of what happens when the measurement of one entangled qubit affects the second as "spooky action at a distance"); and introduces quantum cryptography. He recaps standard topics in classical computing--bits, gates, and logic--and describes Edward Fredkin's ingenious billiard ball computer. He defines quantum gates, considers the speed of quantum algorithms, and describes the building of quantum computers. By the end of the book, readers understand that quantum computing and classical computing are not two distinct disciplines, and that quantum computing is the fundamental form of computing. The basic unit of computation is the qubit, not the bit.
From the bestselling author of Quantum Computing for Everyone, a concise, accessible, and elegant approach to mathematics that not only illustrates concepts but also conveys the surprising nature of the digital information age. Most of us know something about the grand theories of physics that transformed our views of the universe at the start of the twentieth century: quantum mechanics and general relativity. But we are much less familiar with the brilliant theories that make up the backbone of the digital revolution. In Beautiful Math, Chris Bernhardt explores the mathematics at the very heart of the information age. He asks questions such as: What is information? What advantages does digital information have over analog? How do we convert analog signals into digital ones? What is an algorithm? What is a universal computer? And how can a machine learn? The four major themes of Beautiful Math are information, communication, computation, and learning. Bernhardt typically starts with a simple mathematical model of an important concept, then reveals a deep underlying structure connecting concepts from what, at first, appear to be unrelated areas. His goal is to present the concepts using the least amount of mathematics, but nothing is oversimplified. Along the way, Bernhardt also discusses alphabets, the telegraph, and the analog revolution; information theory; redundancy and compression; errors and noise; encryption; how analog information is converted into digital information; algorithms; and, finally, neural networks. Historical anecdotes are included to give a sense of the technology at that time, its impact, and the problems that needed to be solved. Taking its readers by the hand, regardless of their math background, Beautiful Math is a fascinating journey through the mathematical ideas that undergird our everyday digital interactions.
In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, "The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory." Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer. In the paper, "On Computable Numbers, with an Application to the Entscheidungsproblem," Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.
Where’s God when times are hard? He’s winking to let us know He’s with us! Life is mysterious and cryptic. It defies explanation, especially in times of suffering and distress. We wonder, Where is God in all of this? He’s with us—and the Scriptures wink to show us His redemptive activity unfolding in our lives. In Winks from Scripture, Chris Palmer takes you through familiar New Testament stories and points out unfamiliar features that have the effect of a punchline. When the Scriptures wink, you’ll be surprised, delighted, and challenged not to give up hope. “Biblical stories are loaded with mystery,” Chris says. “That mystery keeps us asking questions about the story’s details. In doing so, little ironies and nuances emerge that we hadn’t seen before. This is God winking at us, letting us know He’s there, guiding our lives.” In Winks from Scripture, you will: • Come to embrace mystery • Learn how to appreciate uncertainty and integrate it into a vibrant life of faith • Discover how God triumphs over suffering • Observe how the New Testament writers understood the Old Testament through Jesus • Renew your hope in God’s beautiful plan of creation and redemption Guided by careful scholarship and heartfelt, pastoral reflection, these thirty studies offer a fresh perspective to the most difficult questions of the Christian faith, certain to bring comfort to your soul.
Some say there were two thieves crucified on Golgotha, but I believe there were Three . “Gutsy. Unexpected. Refreshing. Chris Durso explains the story of saving Grace in a language that both the world and the Church, sinners and so-called saints, can understand. The Heist walks us down the road with the prodigal son, inviting us to come home to the One who has a grace-party waiting. Fresh and accessible, I believe this book will help many live fully and freely in Jesus.” —Louie Giglio, pastor of Passion City Church, founder of Passion Conferences, author of Goliath Must Fall In the ultimate act of sacrifice, Jesus robbed the Enemy of every claim he ever had on our lives. He stole all our shame and guilt, and gave us back our lives so that we could live in true freedom. The real scandal of Jesus’ work on the cross is found not only in what it gives but also in what it steals. The Grace of God robs the enemy of his ability to shame us. It robs death of its sting. And it robs sin of its power to destroy. We’ve all felt the weight of shame and brokenness. Like the prodigal son, we’ve pursued our own path only to find ourselves far from home and out of options. We long for a fresh start, but what we need most is the ability to see ourselves through God’s eyes of grace. New York City pastor Chris Durso believes grace is the central message of all Scripture. While there have been some daring heists and cunning capers throughout history, this book is about the greatest heist the world has ever seen…a daring raid where God’s son took back what the enemy had stolen, freeing us from the power of shame, sin, and Satan. Through a fresh take on the parable of the prodigal son, and the fascinating account of a true modern day diamond heist, The Heist offers a bold invitation into God’s boundless grace.
Imagine finding joy unspeakable through a simple hunt in the mountains. It is a beautiful, crisp late October morning. With shotgun in hand, Chris and his young Brittany bird dog, Maddie, head into the mountains. Maddie's excitement boils over as grouse season has finally begun after a long dry summer. The beauty of the majestic Blue Ridge Mountains and the vibrant autumn leaves teach us that there is an Almighty God who created all things. As we search the mind of our Creator, we see that he is a loving God who desires for all mankind to be saved--and has provided a way. While hunting truth, we find that personal relationship with Jesus Christ. As that relationship grows, we learn His plan and His purpose through nature and through the experiences along the way. These help us grow as Christians, and by knowing His will for our lives, we can find that unspeakable joy.
The spiritual encounter with the 'otherness' that Christians call God is often seen as the province of the very holy, or is simply dismissed in our rational, scientific culture - but it is part of the experience of being human, recognised down the ages. I
“In Revelation 2:2, Jesus tells the church in Ephesus something intimate—Google Street View intimate. He says, ‘I know your works’ (Oida ta erga sou). Four words don’t seem like much, but in the Greek, it packs a punch.… Jesus chooses the Greek word oida, which expresses total, comprehensive knowledge. It is intimate knowledge that comes from being up close and personal. This knowledge isn’t hazy on the details. It doesn’t struggle to remember. It preserves the particulars. In the mind’s eye, everything is sharp and clear, like a well-taken photograph.” —Chris Palmer Letters from Jesus: Studies from the Seven Churches of Revelation explores Christ’s warnings to the seven most prominent churches in Asia Minor in the book of Revelation. These letters date back to 95 A.D., but they help us make a fascinating discovery about civilization: life hasn’t changed that much over the last two millennia. Author Chris Palmer illustrates the truths contained in the Letters from Jesus using modern, everyday examples. The host of the popular podcast Greek for the Week, he unpacks Greek words and phrases in these verses from Revelation with humor, joy, and biblical scholarship. Why study Greek, even just a little bit? As Chris explains, looking at the New Testament in the original language in which it was written can offer us some beautiful insights into God’s Word. “It’s like reading the Bible in high definition,” he says. Also, “studying God’s Word in the original language forces us to approach it with reverence and awe, humbling ourselves to obey what it says, whether it’s something we want to hear or not.”
Prepare for a paradigm shift. In this book Chris challenges us to view scripture from a higher perspective, one of victory. Learn to see a victorious future as you embrace and walk in your destiny of dominin now!
Pastor Chris does some really neat Bible Studies; when he taught one on the gospel stories that are unique to Luke, I thought he should write a book about it. He said yes, if I include my thought in it as well. The Young Pastor-Pastor Chris Halverson is currently the Pastor of St. Stephen Lutheran, South Plainfield, NJ. He came here directly from Seminary at the Lutheran Theological Seminary at Philadelphia. Before that he was a Missionary in England and did an M. Phil. in Intertestamental Studies at the University of Cambridge (St. Edmund's College). The Not So Young Parishioner-Linda Nietman, a life long Lutheran is a retired Navy Nurse. She worked at the bedside and as a nursing instructor for 25 years. While she at one time considered the ministry, she had found her true calling as a nurse and as an active parishioner.
The Song of Solomon or "Song of Songs" is a story of intimacy between King Solomon and a Schulamite girl, his bride. It has also been interpreted by some to be an allegory of the love relationship between Christ and His Bride. However you choose to interpret this book, no one can deny the passion and intimacy that the king and his bride enjoy together. In the book Staircase to Transformation, we will take a journey with the Schulamite girl as her groom leads her into intimacy with him, and changes her into a strong woman of God. By following her journey, may your relationship with Christ become closer than ever, and may you be transformed into that woman of God you were created to be. Solomon 2:10 "Arise my darling, my beautiful one and come along." Chris Louer is a native born Californian who lives in Mission Viejo, California. Chris, a Bible teacher, received the Lord at the age of seven, and has been teaching and ministering to women for seventeen years. God's faithfulness to His Word is a reality to Chris and the gentle, practical way she encourages women, has won her the loving respect of women she has ministered to in Bible Studies, retreats and conferences, and individually over the past seventeen years. Chris and her husband Ron have been married for thirty-five years. They have two grown married daughters, Melissa and Adrianne, four grandchildren, as well as two godly son-in-laws, Shane and Aron. With boldness and practical teaching, Chris delivers the Word to this current generation, alerting the Body of Christ to what God requires to remain overcomers in these days.
One of the primary reasons God elected and kept you alive today is for you to stand for Him in a times of affliction, war, famine, in the time of plenty and in a time lack when people refuse to acknowledge Him as Lord and Savior. God wants you to stand for Him in FAITH, BELIEF, TRUST, OBEDIENCE, AND WORSHIP. There has never been a time in the history of the church that God needed His elect to stand in obedience to all His commandments such as it is now. There’s a sudden, mysterious wave of evil occurrences chiefly trying to undermine the righteousness of God in Christ Jesus which the church represents. Apostle Paul in Ephesians 6:11, said, “Put on the whole armor of God that you may be able to STAND against the wiles of the devil.” This book, “Standing for God,” is one of the desired Christian classics which reminds the church to stand solidly in obedience to God’s commandments as we pass through sets of turbulent periods in our lives. Beloved, let us take the word of Moses to the Jews for our comfort: ”Fear ye not, stand still and see the salvation of the Lord which He will accomplish for you today, for the Egyptians whom you see today you shall see again no more.” Exodus 14:13 As you go through this book, may the Holy Spirit help in your wilderness experience to stand and proclaim the salvation of the Lord Jesus Christ. Rev. Dr. Chris Okeke March 15, 2023
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