Duality


Book Description

Jex thought she was an average, post-college girl--until she crippled a drunk and nearly incinerated a gas station. When her elemental powers manifest, she's torn from her placid life and shoved into the war between good and evil. Forced to rely on new allies, including the sweetheart Captain of the Guards and her alphahole Valen, Jex must come to terms with her newfound ability before her enemies succeed in capturing her. --Praise for Duality-- ★"This. Was. Incredible. I'm obsessed and completely invested in these characters and this story."--Early Reader ★"I loved this book. I loved the witty banter, the sayings, the hidden clues, and the many little twists that were throughout the plotline."--Goodreads Reviewer (ARC) ★"I don't know what drugs, or witchcraft, or messing with the time continuum the author has done to this book, but if you don't mind losing a night of sleep and you're into contemporary fantasy romance, go read Duality."--TikTok Reviewer (ARC) ★"Five hottest words ever spoken: go sit in the chair."--TikTok Reader (ARC) ★"Honestly this book is in my top 5 favorite books of 2021! The sass of the characters had me smiling and laughing. And the spice 🥵🔥 This book got me out of a reading slump. It was definitely a book that I couldn't put down." --Need to Know More?-- I am made of extremes. Normalcy was key, before. I'd have a normal life, with a normal job, and a normal white-picket fence. That was before I crippled a drunk and torched a gas station. As it turns out, normalcy lives in the average gray, but I do not. Instead, I am made of extremes. Of fire and water. Of light over darkness. Of good over evil. Well, mostly good over evil, apparently. Now I have no choice but to embrace the not-normal before my world comes crashing down a second time--to piece myself back together with the family I found when I needed it, with the support of two men dragging me (kicking and screaming) to my full capability. But the bad guys are coming, and they're coming for me. He's coming for me. Ain't that some shit. NOTE: Duality is book one of four in the Duality Series, and ends in a cliffhanger. It is medium burn MF and slow burn RH. TW: The Duality Series is an 18+ fantasy romance why-choose/reverse harem series. If you like unique magic systems, sword fights and action sequences, sassy heroines, and bonfire-hot spice, then this book is for you. Book One contains explicit sex and violence, and cheating as a tangential part of the story (not among the main characters). This book is not suitable for all ages and palates. If that is not for you, please do not buy this book.




The Book of No One


Book Description

In this poignant book, humanist psychologist Richard Sylvester provides readers with unique insights regarding life’s most difficult question: Who are we? The human mind is compelled to search for meaning. But when we let go of our notion of the self, we are often confronted with the emptiness of the world. However, even in that emptiness, love and purpose can be found. In The Book of No One, Richard Sylvester continues to communicate the radical and uncompromising view of non-duality expressed in his first book, I Hope You Die Soon. With clarity, humor, and compassion, Sylvester answers many questions about the harsh truths of reality, especially the nature of non-duality, liberation, and enlightenment.




Beyond Vengeance, Beyond Duality


Book Description

We are in trouble. Our social, financial, and religious institutions are crumbling. Our criminal justice system is a prime example of society’s dysfunction.More than 1 in 100 Americans are now in jail.Taxes now finance the incarceration of 1 in 53 of adults in their 20s.There are now 2.3 million people locked up in the U.S. (the same number of prisoners in Russia and China combined).The U.S. accounts for 5 percent of the world’s population--and 25 percent of the world’s prisoners. What courtroom veteran and law professor Sylvia Clute saw on a daily basis was all too often the miscarriage of justice. Because of her legal background, Clute focuses on legal horror stories to demonstrate her underlying thesis: The crisis in our legal system is merely symptomatic of a rot found in each of our institutions. It is rooted in a philosophy of dualism that pits us against one another. It is rooted in a philosophy that fails to recognize the oneness or unity of all life. Clute unfolds her argument for applying the philosophy of non-duality to not only our criminal justice system, but to all social relationships. She explores the roots of dualist thinking in the religious traditions of the world and offers the hope that if individuals--and societies--can move beyond dualistic thinking, we will create a society that is truly just and authentically caring. Part social policy, part metaphysics, this is a book for all who are looking for a new model for individual and societal relationships.




Canonical Duality Theory


Book Description

This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory’s role in bridging the gap between non-convex analysis/mechanics and global optimization. With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.




Divine Duality


Book Description

A Breakthrough in Healing, Forgiveness and Reconciliation Between Men and Women I have been looking a long time to find a way to bring healing and reconciliation between women and men here in South Africa. This work is the answer. We need much more of this work in South Africa. – Nozizwe Madlala Routledge, Deputy Minister of Health and Member of Parliament, South Africa Will Keepin’s pioneering, passionate, deeply thoughtful work has been on the cutting edge for years. Now his book gives us all access to his profound insights and effective methods. This is crucial work. – Andrew Harvey, author of twenty books, including Son of Man and The Direct Path This is the first workshop I have experienced that fully integrates educational and spiritual components in a balanced manner. – Ela Gandhi, founding director of Satyagraha Center, Durban, South Africa; granddaughter of Mahatma Gandhi That rarest of books – it challenges and changes your mind, but only after it penetrates your heart. – Peter Rutter, M.D., Jungian psychiatrist, author of Sex in the Forbidden Zone and Understanding and Preventing Sexual Harassment An extraordinary contribution to fostering gender reconciliation ... practical and empowering. – Angeles Arrien, Ph.D., cultural anthropologist, author of The Four-Fold Way and The Second Half of Life [The] profound crisis in relations between men and women in today’s world causes enormous suffering ... Divine Duality is an extraordinary and groundbreaking book ... that holds great promise as a way to its alleviation. – Stanislav Grof, M.D., author of Psychology of the Future and The Ultimate Journey




Duality Theories for Boolean Algebras with Operators


Book Description

In this new text, Steven Givant—the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski—develops three theories of duality for Boolean algebras with operators. Givant addresses the two most recognized dualities (one algebraic and the other topological) and introduces a third duality, best understood as a hybrid of the first two. This text will be of interest to graduate students and researchers in the fields of mathematics, computer science, logic, and philosophy who are interested in exploring special or general classes of Boolean algebras with operators. Readers should be familiar with the basic arithmetic and theory of Boolean algebras, as well as the fundamentals of point-set topology.




Cones and Duality


Book Description

Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. Before the 1950s, ordered vector spaces appeared in the literature in a fragmented way. Their systematic study began around the world after 1950 mainly through the efforts of the Russian, Japanese, German, and Dutch schools. Since cones are being employed to solve optimization problems, the theory of ordered vector spaces is an indispensable tool for solving a variety of applied problems appearing in several diverse areas, such as engineering, econometrics, and the social sciences. For this reason this theory plays a prominent role not only in functional analysis but also in a wide range of applications. This is a book about a modern perspective on cones and ordered vector spaces. It includes material that has not been presented earlier in a monograph or a textbook. With many exercises of varying degrees of difficulty, the book is suitable for graduate courses. Most of the new topics currently discussed in the book have their origins in problems from economics and finance. Therefore, the book will be valuable to any researcher and graduate student who works in mathematics, engineering, economics, finance, and any other field that uses optimization techniques.




Grothendieck Duality and Base Change


Book Description

Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory.




Dowsing Beyond Duality


Book Description

David Cowan’s first book, Navigating the Collapse of Time, introduced readers to the consciousness shift in “reality” that we are currently experiencing. Dowsing Beyond Duality draws on those principles and theories and presents an easy and powerful means to keep our energy balanced in this time of great change. Working with Erina Cowan, David Cowan presents a comprehensive course based on the Course in Miracles principle that we know all we need to know within our divine selves. They teach us to use the science of spiritual dowsing to access physical, mental, and emotional healing. Dowsing Beyond Duality goes well beyond just getting ‘yes and no’ answers from a pendulum. The Cowans show how to use the pendulum—not only to find lost objects or make daily decisions—but also to deepen one’s self-realization, to move beyond the duality of the third dimension, and create positive change in one’s life and in the world. With more than 75 charts, the Cowans guide readers through specific movements of the pendulum that release limiting beliefs and unconscious resistance. Dowsing Beyond Duality shows readers how to use spiritual dowsing to deepen self-realization and find truth and peace of mind in their lives.




Convex Duality and Financial Mathematics


Book Description

This book provides a concise introduction to convex duality in financial mathematics. Convex duality plays an essential role in dealing with financial problems and involves maximizing concave utility functions and minimizing convex risk measures. Recently, convex and generalized convex dualities have shown to be crucial in the process of the dynamic hedging of contingent claims. Common underlying principles and connections between different perspectives are developed; results are illustrated through graphs and explained heuristically. This book can be used as a reference and is aimed toward graduate students, researchers and practitioners in mathematics, finance, economics, and optimization. Topics include: Markowitz portfolio theory, growth portfolio theory, fundamental theorem of asset pricing emphasizing the duality between utility optimization and pricing by martingale measures, risk measures and its dual representation, hedging and super-hedging and its relationship with linear programming duality and the duality relationship in dynamic hedging of contingent claims