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Relative Nonhomogeneous Koszul Duality
This research monograph develops the theory of relative nonhomogeneous Koszul duality.Koszul duality is a fundamental phenomenon in homological algebra and related areas of mathematics, such as algebraic topology, algebraic geometry, and representation theory.Koszul duality is a popular subject of contemporary research.This book, written by one of the world's leading experts in the area, includes the homogeneous and nonhomogeneous quadratic duality theory over a nonsemisimple, noncommutative base ring, the Poincare–Birkhoff–Witt theorem generalized to this context, and triangulated equivalences between suitable exotic derived categories of modules, curved DG comodules, and curved DG contramodules.The thematic example, meaning the classical duality between the ring of differential operators and the de Rham DG algebra of differential forms, involves some of the most important objects of study in the contemporary algebraic and differential geometry.For the first timein the history of Koszul duality the derived D-Omega duality is included into a general framework.Examples highly relevant for algebraic and differential geometry are discussed in detail.
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Relative Distance : A Memoir
Relative Distance is a powerful memoir of resilience and faith.While it’s an unflinching look at brothers being raised by a violent, abusive father and a detached, mentally ill mother, it’s also an inspiring account of two distinctive life journeys and an examination of the role played by family and society in individual homelessness. After surviving his tumultuous upbringing, David Pruitt rises to become a CEO in Corporate America, while his brother, Danny, becomes a long-time homeless traveler.As David helps to grow a fledgling North Carolina business into what is at the time the largest specialty bicycle retailer in the United States, Danny sleeps under overpasses, jumps passing freight cars, lives in and out of shelters, faces death more than once—and encounters the best and worst of America in a restless search to find a better place in the world.Yet, despite their differences, a common thread runs through the distinct trajectories of the brothers’ lives: each of them struggles with difficult psychological issues stemming from their troubled past. This deeply moving memoir examines the lifelong challenges that often come for those raised in an abusive home, along with the limitless possibilities we open ourselves to when we allow faith and determination to overcome judgment and fear.
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Reflections of Alan Turing : A Relative Story
Everyone knows the story of the codebreaker and computer science pioneer Alan Turing. Except …When Dermot Turing is asked about his famous uncle, people want to know more than the bullet points of his life.They want to know everything – was Alan Turing actually a codebreaker?What did he make of artificial intelligence? What is the significance of Alan Turing’s trial, his suicide, the Royal Pardon, the £50 note and the film The Imitation Game?In Reflections of Alan Turing, Dermot strips off the layers to uncover the real story.It’s time to discover a fresh legacy of Alan Turing for the twenty-first century.
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Relative Strangers : Romani Kinship and Palestinian Difference
Examining how memory, intergenerational transmission, and kinship work together, Relative Strangers sheds light on Romani life in Palestine.Arpan Roy presents an ethnographic portrait of Dom Romani communities living between Palestine and Jordan, zooming in on everyday life in working-class neighborhoods, and under conditions of perpetual war and instability. The book focuses on how Doms are able to sustain ethnic difference through kinship, even when public performances of difference are no longer emphasized – a kind of alterity that is neither visible by obvious markers like race or religious difference, nor detected by the antennas of the state.Drawing on long-term ethnographic fieldwork in Jerusalem, Ramallah, and Amman, Roy makes a case for such alterity for Romani people and other groups in the region. Analysing intimate ethnographic scenes through anthropological theories of kinship, psychoanalysis, social theory from the Global South, and more, the book reveals how alterity in the Middle East does not adhere to rigid identitarian categories.Ultimately, Relative Strangers demonstrates the inadequacy of transposing models of pluralism centred on European and American experiences of minoritization onto other contexts.
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Which relative?
The relative I am closest to is my sister. We have a strong bond and share a lot of memories and experiences together. She is always there for me and I can rely on her for support and advice. Our relationship is very important to me and I cherish the time we spend together.
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What is a cultural heritage?
Cultural heritage refers to the traditions, customs, beliefs, and artifacts that are passed down from generation to generation within a society. It encompasses the tangible and intangible aspects of a culture, including historical sites, monuments, art, music, language, and rituals. Cultural heritage plays a crucial role in shaping a community's identity and preserving its unique heritage for future generations. It is an important part of a society's history and contributes to its sense of belonging and continuity.
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Is reality relative?
Reality is not relative in the sense that it is completely subjective and varies from person to person. There are objective truths and facts that exist independently of individual perspectives. However, individuals may perceive and interpret reality differently based on their experiences, beliefs, and cultural backgrounds. This can lead to different perspectives on the same reality, but it does not change the underlying objective truth of the reality itself.
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Is energy relative?
Yes, energy is relative in the context of physics. According to the theory of relativity, energy is not an absolute quantity but depends on the frame of reference from which it is measured. This means that the amount of energy observed can vary depending on the observer's relative motion. In other words, energy is not a fixed value but is relative to the observer's perspective.
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Relative Dimensions: 60 Years in Time and Space
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The Syntax of Relative Clauses : A Unified Analysis
Relative clauses play a hugely important role in analysing the structure of sentences.This book provides the first evidence that a unified analysis of the different types of relative clauses is possible - a step forward in our understanding.Using careful analyses of a wide range of languages, Cinque argues that the relative clause types can all be derived from a single, double-headed, structure.He also presents evidence that restrictive, maximalizing, ('integrated') non-restrictive, kind-defining, infinitival and participial RCs merge at different heights of the nominal extended projection.This book provides an elegant generalization about the structure of all relatives.Theoretically profound and empirically rich, it promises to radically alter the way we think about this subject for years to come.
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Relative to Wind : On Sailing, Craft, and Community
A lingering, long-haul collection of writing about sailing for readers of Julietta Singh and Kyo Maclear. In Relative to Wind, Phoebe Wang delivers a poetic rendering of her decade-long journey of learning to sail and a deep dive into what it means to be a newcomer to an old tradition.From working alongside crewmates in tempestuous conditions to becoming an avid racer and organizer to drafting a wistful love letter to a Wayfarer dinghy—while examining the loose tether between sailing and a creative life—Wang delivers a book for sailors and would-be sailors that is thoughtful and surprising at every tack. "A thoughtful, illuminating look at life away from land."—Kirkus
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It's All Relative : A Summer Wedding Rom-Com
Shakespeare's famous comedy, A Midsummer Night's Dream, gets a modern retelling in a lighthearted rom-com that proves 'the course of true love' (and the merging of families, for that matter) 'never did run smooth.' Fans of Jenny Proctor and Courtney Walsh will get swept away in this romance about second chances. Helena's a "fly by the seat of her pants" kind of girl.Amelia's got her perfect life planned down to the minute.How will they ever get through their parents' wedding--let alone a life as stepsisters--without ripping each other apart?Twenty-seven-year-old Helena Crosby is over her mom Nora's wedding--and it hasn't even happened yet.For months, Helena's been dreading the day she and Nora would become part of The Perfects, aka the Maddox family, led by oldest perfect daughter Amelia.Her complete opposite in every way, Amelia owns a house, runs her father's architecture firm, and is engaged to her also perfect (and dreamy) fiancé Gage, all before the age of thirty.Helena has no idea how she's going to fit into this family with their fancy traditions and strict timetables.Thankfully, her best friend Landon is joining the festivities as her emotional support plus one--and the perfect buffer between her and her new family. Amelia Maddox has spent months planning the perfect wedding week for her dad Steve and his bride-to-be Nora.She'd planned for every consistency . . . except for her new free spirited stepsister's deadly shellfish allergy, her brother's insistence on blowing up his life, and an unexpected guest on Helena's arm.A guest she hasn't seen in years. A guest who held her heart years before her fiancé Gage ever did . . . her ex Landon Blake. But no matter--Amelia's kept the Maddox family together since her mother died a few years ago.She's not going to be thrown by Landon's deep blue eyes and sun-bronzed forearms and the way he makes her feel all warm and cozy, like she's come home to herself.Nope. She has duties to attend to: being the best daughter, sister, fiancée, boss, and wedding coordinator. And she's going to bring her Eldest Daughter Energy to it all and push down those inconvenient feelings, no matter what. Through a whirlwind week of wedding activities and a few near disasters, both Amelia and Helena realize that sometimes the blueprints for the perfect family and relationship look better on paper than in real life--and that family isn't only made of the people you're born with.Family is also made of the people we choose over and over again. This heartwarming and hilarious rom-com is a low-spice, high-energy romp with sailing disasters, a rogue pet parrot, and two mismatched couples.Think 27 Dresses meets Shakespeare on the beach! Perfect for book clubs, with its themes of love, family, and second chances, the book includes discussion questions to help get the conversation started.
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Is truth relative?
The concept of truth being relative is a matter of philosophical debate. Some argue that truth is relative, meaning that what is considered true can vary depending on individual perspectives, cultural beliefs, and historical contexts. Others argue that truth is absolute and independent of individual beliefs or perspectives. Ultimately, the question of whether truth is relative or absolute is complex and has been the subject of ongoing philosophical inquiry.
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What is the difference between apposition, relative clause, and relative pronoun?
Apposition is a grammatical construction in which two elements, usually noun phrases, are placed next to each other, with one element further describing or identifying the other. A relative clause, on the other hand, is a type of subordinate clause that provides additional information about a noun in the main clause. It is introduced by a relative pronoun, such as "who," "which," or "that," and functions to modify the noun it follows. A relative pronoun is a pronoun that introduces a relative clause and relates it to the noun it modifies. It serves as a link between the main clause and the relative clause, and can refer to a person, thing, or idea.
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What is relative truth?
Relative truth is the concept that truth can vary depending on the perspective or context from which it is being viewed. It acknowledges that what may be true for one person or in one situation may not be true for another. This idea suggests that truth is not absolute and can be influenced by factors such as personal beliefs, cultural norms, and individual experiences. Relative truth allows for a more nuanced understanding of reality and encourages open-mindedness and empathy towards differing viewpoints.
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What is relative density?
Relative density, also known as specific gravity, is the ratio of the density of a substance to the density of a reference substance. It is a dimensionless quantity that compares the density of a substance to the density of water at a specific temperature. Relative density is used to characterize the heaviness or lightness of a substance compared to water, and it is commonly used in various scientific and industrial applications to determine the purity or composition of materials.
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