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Derive Gibbs Duhem Equation

The Chaos Equation

Synopsis: In a world where ambition and privilege collide, two opposites are destined to meet—with sparks that neither of them expects. Avie Monroe is the very definition of a golden girl: wealthy, confident, and used to getting whatever she wants without apology. Born into a life of luxury, she thrives on chaos and commands attention with every step she takes. On the other side of the spectrum stands Quentin Hart—an eccentric, brilliant lawyer with an unshakeable calm. Interning at one of the country’s top law firms, Quentin believes in logic, order, and careful strategy. His composed demeanor is his armor in the whirlwind of corporate ambition. Their worlds collide in the pristine lobby of Harrington & Whitman, where Avie’s chaotic entrance disrupts Quentin’s orderly morning. What starts as an accidental clash turns into a series of encounters filled with witty banter, clashing personalities, and unexpected moments of vulnerability. Avie finds herself doing things she’d never thought possible—getting flustered over petty disagreements and second-guessing her own moves. Quentin, meanwhile, begins to realize that sometimes life’s most thrilling cases aren’t fought in courtrooms. As they navigate their budding dynamic, Avie and Quentin discover that their differences might be the key to unlocking something neither of them knew they needed. In a story filled with humor, tension, and undeniable chemistry, the golden girl and the calm genius must learn that sometimes love is the ultimate clash—and compromise.
Matinu_Suleman · 294 Views

The world of sinners

In a modern world divided into two opposing continents, society is strictly compartmentalized. On one of the continents, underdeveloped and often despised, live the Sinners, beings endowed with powers born from their faults and weaknesses. Everyone carries the burden of their sin, materialized by unique abilities but often perceived as dangerous or unpredictable. On the other side, on a prosperous and technologically advanced continent, live the Saints, those who possess gifts derived from their virtues and purity. They too have powers, but they are highly revered and live in wealth and admiration. The story follows Élise, a young girl with an improbable destiny: born with the essence of both worlds, she is both sinner and saint. Endowed with powers from both continents, she is rejected by the Saints, who consider her impure, and feared by the Sinners, who see in her a dangerous anomaly. Lost between these two identities, Élise will be pushed on a quest to discover the truth behind the separation of the two continents and the origin of her powers. As she ventures further and further into these two worlds, Élise discovers secrets buried for centuries, revealing that the line between sin and virtue is much finer than we think. The powers she carries within her could either unite the two continents or destroy them. But to achieve this, she will first have to fully accept who she is, even if it means questioning everything she has been taught about good and evil. --- This synopsis introduces the conflict between the two continents, Élise's dilemma between her two identities, and a quest for the reconciliation of the two worlds.
Daoist2aM6wD · 3.5K Views

Abraham–Lorentz force

Book Blurb: Abraham–Lorentz Force Delve into the intricate world of electrodynamics with Abraham–Lorentz Force, a comprehensive exploration that spans over a century of scientific discovery. This book takes you on a journey from the foundational principles of classical electrodynamics, as established by Maxwell and Lorentz, through the early developments in radiation reaction and the formulation of the non-relativistic Abraham–Lorentz force. It then ventures into the realm of relativity with detailed analyses of the Abraham–Lorentz–Dirac equation and its modern extensions, including alternate formulations such as the Landau–Lifshitz approach. At its core, Abraham–Lorentz Force bridges the gap between theory and experiment. Readers will discover advanced theoretical perspectives, delve into experimental investigations that test these ideas, and explore how collective phenomena in plasmas and quantum theories converge to shape our understanding of self-interaction. The latter chapters address future directions and unresolved questions, challenging the reader to consider the classical–quantum transition, self-force problems in quantum gravity and string theory, and even the quest for a grand unified theory. Structured into twelve meticulously organized chapters, the book begins with: • Chapter 1: Foundations of Classical Electrodynamics – Laying the groundwork with Maxwell’s equations and the Lorentz force. • Chapter 2: Early Developments in Radiation Reaction – Tracing the pioneering work that first identified the self-interaction of accelerating charges. • Chapter 3: The Non-Relativistic Abraham–Lorentz Force – Analyzing the classical self-force in low-speed regimes. • Chapter 4: Relativistic Extensions and the Abraham–Lorentz–Dirac Equation – Extending the theory into the relativistic domain. • Chapter 5: Alternate Formulations and the Landau–Lifshitz Approach – Introducing pragmatic alternatives that avoid pathological predictions. • Chapter 6: Advanced Theoretical Perspectives – Exploring cutting-edge ideas that push the boundaries of current models. • Chapter 7: Experimental Investigations and Observations – Reviewing key experiments that validate and challenge theoretical predictions. • Chapter 8: Collective Phenomena in Plasmas – Examining how self-interaction affects the dynamics of complex plasma systems. • Chapter 9: Connections to Quantum Theories – Linking classical concepts to quantum electrodynamics and beyond. • Chapter 10: Future Directions and Unresolved Questions – Highlighting emerging research frontiers and ongoing challenges. • Chapter 11: Appendices – Providing essential mathematical identities, notational conventions, and historical documents. • Chapter 12: Analysis of References in Electrodynamics and Radiation Reaction – Evaluating the significance and impact of seminal works in the field. This book is an indispensable resource for PhD students, researchers, and professionals seeking to gain a deep, nuanced understanding of radiation reaction and self-interaction. It blends rigorous theory with practical insights, supported by extensive historical context and modern experimental evidence. With clear explanations, vivid analogies, and carefully structured content, Abraham–Lorentz Force not only encapsulates the evolution of electrodynamics but also illuminates the future directions of this dynamic field.
Andrew_Bardsley · 1.6K Views

Mated To Valentine

North Harper is a third-year college student quietly enduring the struggles of her life. She’s brilliant, resourceful, and beautiful beneath her thick glasses and outdated style of fashion, which makes her am easy target to bullies. Bullied and mocked for her appearance—called “turtle girl” by cruel classmates—she seeks solace in her books and her late night visits to her mother's grave. She runs into Valentine, a Vampire Prince, one of those nights and she knows that he's not the kind of guy for one encounter. She's also trapped in the web of his attractiveness and aura, and she finds it hard to untangle herself. Her life takes a dark and unexpected turn one fateful evening when a rogue vampire attacks her on campus. Valentine intervenes, saving her at a great cost. To keep her alive, he breaks one of the cardinal laws of his kind and turns her into a vampire, unknowingly creating a hybrid...something neither human nor fully vampire. As North awakens to her new existence, she is startled by her transformation. Her glasses are no longer needed; her features are sharper, her senses heightened, and her newfound confidence begins to change how others perceive her. But being a hybrid comes with a price: her powers are unstable, her hunger unpredictable, and her very existence places her in grave danger. Valentine takes her under his wing, teaching her to control her abilities and navigate her dual nature. As they grow closer, their connection deepens into something undeniable. But their relationship violates ancient vampire laws forbidding unions between humans and vampires, drawing the attention of the ruthless Vampire Council. Meanwhile, North struggles to maintain her college life, keeping up appearances among peers who suddenly notice her. Jealousy and suspicion grow as her bullies sense there’s something strange about her. At the same time, a dangerous human faction known as The Ascendants becomes aware of her transformation. This radical group, dedicated to eradicating vampires, believes North ’s hybrid nature is the key to creating a weaponized force of vampire-like humans. The Ascendants infiltrate North ’s college, using one of her classmates to spy on her and gain her trust. When they attempt to abduct her, she realizes the stakes of her existence stretch far beyond herself. Valentine fights to protect her, but even his influence cannot shield her from the rising tensions between humans and vampires. As the Vampire Council pressures Valentine to hand North over, the growing divide between the two worlds threatens to erupt into war. North becomes a symbol for both sides: to vampires, she is a dangerous anomaly; to The Ascendants, she is the ultimate weapon. Torn between these forces, she must learn to embrace her hybrid identity while forging her own path. The Ascendants launch an all-out attack to capture North and unleash their sinister serum a creation derived from her blood to turn humans into superhuman soldiers. Valentine is gravely injured in the ensuing chaos, leaving North to face her attackers alone. Drawing on her dual nature, North unleashes her hybrid powers to defeat The Ascendants' leader and destroy the serum, saving both humans and vampires from a devastating war. In the aftermath, the Vampire Council reluctantly allows North to live but makes it clear that her existence will always be under scrutiny. She choses to have Valentine transform her into a full blooded vampire, while the Vampire council take out the rest of the hybrids formed by the Ascendants.
Annabelle_Writes · 1.9K Views

Mind Demon's Path of Domination

Mark hatched out of an egg one day, reincarnated as a demon! His body was as strong as iron, instincts capable of noticing a silent fly multiple meters away. Eyesight sharp enough to see the small holes in an enemy’s clothing. Moreover, he also had a system. [Soul Devourer] [Eat souls to grow stronger.] [Mind-type Demonic Tricks have been derived out of your demonic bloodline!] [Heart Input!] [Input unsolicited thoughts in an enemy's heart and influence them!] Mark took a deep breath. How can he allow himself to live a mediocre life after being given this second chance? Now, he wanted it all! Women, wealth, power, status, and even eternal life! His ambition was set, his heart was on fire. A demon had been born. ``` =●= Author's Note: What kind of story will this be? Strong to Stronger more than Weak to Strong. Mark will be an incredibly powerful fighter among his Tier most of the time but not invincible inside it. Expect a lot of incredible power systems throughout multiple worlds, a gripping narrative, a bundle of lovely female cast, and lots of sweet, tasty world-hopping. And heart-thumping, blood-boiling battles. Discord Link for character arts and to get in contact with the author: https://discord.com/invite/6ZGpkzxtTe Disclaimer: There will be explicit smut chapters but NO Yuri, NO NTR, and NO R*PE. (No Mind Control R*PE here. NADA.) Romantic relationships of the MC will not be a mind-manipulated puppet show. I despise that. He cares for his women as much as they care for him. As far as I can, there will not be any cardboard characters made to fill in the character count in the MC's harem, either. As in, all important characters will have a story of their own; as if they themselves were a main character. Hopefully, it all goes well. I am trying my best, you just have to read it now. Enjoy the ride!
CoughBlood · 1.6M Views

To The Beautiful You

In the Blue Planet, the people of The Kingdom Arizone; The Lorph, show their respect to Gyanemyade by wishing for something dear to their heart. There is a boy in his seventeens, Dylan Al'Xander, military captain who fall in love with a girl in an ordinary summer. There is a Girl Lena AyaBurg in her sweet seventeens, military captain. Who's lover is Dylan. Then there is Gibbs who is best friend of both of them. Belongs to race of Lorph. The people of Meges, for centuries hides in dark shadows living their eternal life's there. For centuries they were considered as Alien but during 5th evolution, the Kingdom of Arizone not only give them a place to live but also make them rightful citizens of Arizone. They are creature, neither living nor dead. They lives in lands given to them far away from realm of humanity in the forbidden land .... They surves as a special link Between... Life and afterlife..... For over a decade, the Kingdom of Arizone is in a war with neighbouring Empires of Aqua's... It's war with out any casualties.... During the final and last battle which decide the fate of Lorph and Meges. There happens a series of incidents which put the life of Dylan love in danger..... Ash is a captain of The Reaper unit, pilot of special equipment.... He belongs to race of Meges.... He is a good friend of Dylan and Lena...... In this world of The Blue Planet, there are not only humans; lorphs, Meges, Vampire, Warewolf, fairies, devil's and angels but also some sacred beings of light, the transparent beings.... Outside that wall that protects the humanity from high and extremely low temperature, there is a promised tree, a cherry tree... There is a memorial stone, black in colour made of some unknown earthly material... On the memorial stone under the promised Cherry tree, is a black and white picture of a girl smiling widely....... And the name written Lena AyaBurg. That one night's incident cause for ... Lena to be gone forever...... For Dylan to become cold and colder then winter...... For Gibbs to lose faith in Humanity.... For Ash to fight his Nine elders and Great Master....... Three young boys and a girl against whole wide world......... TO THE BEAUTIFUL YOU starting from this Thursday. You Author Butterflyqueen736 [Maria] My original work. All right reserved.
butterflyqueen736 · 76.8K Views

The Good Teacher

Guy Larks was famous in his original world for his widespread charity work in poverty-stricken and war-torn nations. He was especially known for his efforts in developing schools and educational facilities for children, as well as teaching and nurturing many students. So it was devastating news to learn that he wouldn't live past his 30th year. But he was given a second chance! A new life in another world, as a down-by-the-dumps teaching apprentice in a world of magic and wonder. He was given no cheat, just a Repository of Knowledge holding all the information he could bring with him from his previous life. In this new world, Guy rediscovered his life's true calling! Ride along on Guy's journey as he changes the world one budding mind at a time, as the greatest teacher this world has ever seen! State of Story: - Volume 1 - A Whole New World [COMPLETED][FREE] - Volume 2 - Starting Anew [COMPLETED][LOCKED] - Volume 3 - The Grand Experiment [COMPLETED][LOCKED] - Volume 4 - Birth of the True World Sect [COMPLETED][LOCKED] - Volume 5 - Legacy of the True World Sect [COMPLETED][LOCKED] - Volume 6 - Worlds Beyond [ONGOING][LOCKED] Discord: https://discord.gg/PKbqtembQJ Expected Upload Freq.: 3 Chapters per Week w/ min. 1500 Words per Chapter _______ AUTHOR'S NOTE: This is a slice-of-life-ish story at its core. This is NOT a hot-blooded, high-octane novel filled with conflicts and fights around every corner. If that is the kind of story you are looking for, unfortunately, you will not find it here (at least not in the early chapters). The MC is a modern man, with modern sensibilities. Conflicts are handled civilly, or avoided altogether. There will be fights, but the story does not revolve around it. The MC is mature, and handles relationships tactfully. There will be a slow-burn romance in this story, and ABSOLUTELY NO HAREM. I despise that genre from the bottom of my heart! I also have some LGBTQ+ elements planned for the future (with side characters). English not first language. Writing mistake? Please forgive. Proofread many times before upload, problems not much. If issue, then point out mistake, I correct immediate. I am thank you for you're understanding :) ALSO: I started writing this story with one intention in mind, and that was to act as a parody of existing novels with similar themes. However, around CH25, I realised that my work was becoming too derivative and boring. So I pivoted and decided to make my novel its own thing. I believe that my work has become better because of it. Additional Tags: #LGBTQ+
Junior_Sundar · 1.5M Views

REACH OUT TO DIGITAL HACK RECOVERY COMPANY TO RECOVER LOST FUNDS

It is truly heartbreaking to read about individuals who, after investing their hard-earned money, end up facing the grim reality of scams or poorly performing investments, especially when there's no clear solution or path to recovery. The frustration and despair that accompany these situations can often feel overwhelming, and for many, it seems like there is no way out. I know this feeling all too well, as I was once in a similar predicament.A few years ago, I invested $52,000 of my life savings into deriv trading, a decision that, at the time, seemed like a promising way to secure my family's future. However, what began as a hopeful investment quickly turned into a nightmare. I watched as my money dwindled, and despite my best efforts, I found myself stuck in a cycle of losses. The more I tried to recover, the more I lost, and soon it felt like everything I had worked for my entire life was slipping through my fingers. The emotional toll was significant — not only was I losing my financial stability, but the stress was beginning to take a toll on my relationship with my family as well.I almost lost everything, but it was in the darkest moment that I found a glimmer of hope. After months of searching for a solution, I came across Digital Hack Recovery , a platform that specializes in helping people recover funds lost to fraudulent investment schemes. It felt like a lifeline. I was skeptical at first, given the many scams that also lurk online, but after doing some research and reading reviews from others who had successfully reclaimed their funds, I decided to take the leap.The process was not instant, and there were moments when I doubted whether it would work. However, with their guidance and expertise, I was able to recover 90% of the funds I had lost. That success felt like a miracle, and it allowed me to rebuild my financial security. But beyond the money, the real victory was the restoration of peace of mind. I was able to repair my relationship with my family and regain a sense of control over my life.If you find yourself in a similar situation, I urge you not to give up. There are ways to recover, even when it seems like a dead end. Recovery takes time and diligence, but with the right support, it is possible to find a path to financial healing. Just like I did, you too can navigate your way out of a seemingly hopeless situation and reclaim what you’ve lost. Contact info⁚ WhatsApp⁚ +1(915)2151930 Homepage⁚ https://digitalhackrecovery.com Mail⁚ digitalhackrecovery@techie.com
Cohen_Fraser · 361 Views

The Hot Escort Service in Karachi {03257442225}

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Imsha_Rana · 390 Views

Da'at Singularity Point:Unite all Singularity To Become The Strongest

In the world of Aretz, where Sefirot embody the divine balance of creation, one anomaly emerges: the Daʻat System—a hidden, enigmatic force capable of connecting the fragmented multiverse into a unified whole. Isaac, an apathetic young man burdened by a hollow existence, enrolls at the Awakener Academy with a single question driving him: What is the meaning of life? But when he awakens, his life takes an extraordinary turn. --- [Daʻat System Online] [Unite all singularities to become the strongest.] [Unique Skill: Mirror Multiverse acquired.] [Main Objective: Survive the Apocalypse.] [Mirror Multiverse Activated] A gacha-style Unique skill allowing access to alternate versions of yourself across parallel realities and Synchronize with yourself from alternative universe. Each roll corresponds to an ability derived from one of the Sefirot on the Kabbalah Tree. [Synchronize] "Isaac the Flame Warden" [Synchronize] "Isaac the Nephilim" Maybe he could find a meaning after all. Embark on an action-packed journey of dungeon diving, parallel realities, and awakening self-discovery. Traverse the multiverse and join Isaac in a race against time to uncover the truth behind existence itself. Tags: System, modern, dungeon, harem, dungeon diving and unique novel for you to read. --- Note: The main protagonist is apathetic at the start only focusing at being stronger but will change because of the people around him
S0FTNW3T · 8.6K Views
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