Gradient Flows

The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link be

Putting constraints on the nature of the interaction between nonsingular gradient-like fields and the boundary of a smooth compact manifold have profound implications for the topology of the manifold,

This textbook on rotating fluid dynamics combines a pedagogical development of theoretical ideas with a description and analysis of many of the fascinating examples of rotating flows found in nature. The book is self-contained, starting in Part I with introductory chapters on fluid dynamics and waves. The largest section of the book is Part II, where a broad theoretical framework is developed for rotating flows, including Ekman layers, inertial waves, Taylor columns, Rossby waves, precession, instabilities, rotating convection, vortex breakdown, and rotating turbulence.The book ends, in Part III, with an analysis of some naturally occurring rotating flows, including tornadoes and dust devils, tidal vortices, tropical cyclones, convection in planetary cores, zonal winds in planetary atmospheres, and astrophysical accretion discs. Davidson presents a unique combination of a deep but broad theoretical framework with a detailed discussion of many naturally occurring flows. Moreover, the bo

Do you know why the Moon's so dry and yet our world is wet?Immerse yourself in the wonderful world of water and discover the story of H20 from its very beginning. Engaging, informative poetry flows ov

A poetic voyage in five parts that charts the ebbs and flows of the African-American movement.

Honey is settling into her role as scout bee for her hive. Now she has a new to find more water. Together with her friends Beanie, Hex and Fred the Fly, Honey buzzes off on an adventure. Yet they soon discover there's something very wrong with the local stream. It's going to take lots of cunning and clever tricks to fix the problem and make sure the water flows freely again.

本書是累積幾年下來的教學研究心得，作者堅持文章是「淺顯易懂的思想交流」，因此整本書以通俗容易理解為原則。向量分析主要是研究梯度(gradient)、散度(divergence)與旋度(curl)這三個重要觀念，除了從幾何的角度之外，作者也特別引進量綱(因次)分析來理解這些量，並闡明「方程式本身是會講話」這概念。 如何藉由圖形直觀理解梯度、散度與旋度，除了本書第四章之外，讀者可以參考作者在數學傳播的〈圖解梯度、散度與旋度〉一文。

Froggy, Fearless, and Ready for Adventure! Leap into this action-packed chapter book series from Super Happy Magic Forest creator Matty Long-perfect for readers who love funny stories!Croaky Hopper isn't like other little frogs. His head is filled with thoughts of wild adventures. He dreams of hopping across crocodile-infested waters, or being chased by a giant boulder, just like the famous TV explorer Tennessee Toad.But where can an energetic amphibian like Croaky find real-life adventure? When his Aunt Lilly signs him up for the Woggle Scouts, he expects to spend his time crafting with pinecones and selling cookies, but he soon discovers there's much more in store . . .In Caverns of the Gemosaurus, the Woggle Scouts go underground to the Crystal Caverns in search of the mythical Gemosaurus. On the expedition, they find runaway minecarts, carnivorous plants, and deadly lava flows! For more action-packed adventures with Croaky Hopper try Quest for the Legendary Berry.

Heritage and History in the China–Australia Migration Corridor traces the material and social legacy of migration from China to Australia from the 1840s until the present day. The volume offers a multidimensional examination of the material footprint of migration as it exists in the migration corridor stretching between Zhongshan county in south China and Australia. Spanning the fields of heritage studies, migration studies, and Chinese diaspora history, Denis Byrne, Ien Ang, Phillip Mar, and other contributors foreground a transnational approach to the heritage of migration, one that takes account of the flows of people, ideas, objects, and money that circulate through migration corridors, forming intricate ongoing bonds between those who migrated to Australia and their home villages in China.

The text consists of 14 units, each illustrating the language used in a particular situation. The topic-based units cover the language learners need in everyday situations, but also language for more formal situations, such as a seminar or business meeting.Each section contains a list of the most useful phrases, with information on where and when they should be used, and a short sample of a conversation, showing the learner how a typical conversation flows in English.An audio CD contains all the conversations from the book, and allows the user to practice what they have learnt. In addition, the supplement contains all the everyday expressions and language structures that learners need to speak in natural English, organized by function.Each section also contains a glossary of useful vocabulary, making Collins Easy Learning English Conversation: Book 2 an indispensible resource for students who want to build on their conversation skills so that they can speak English fluently and with co

古希臘哲學家赫拉克里圖斯（Heraclitus）主張「萬物皆流」（panta rhei: everything flows或者有人說panta chorei: everything moves），認為宇宙一切變動不羈，永不定形。對我而言，這種觀念符合我自己的 “be(com)ing”想法：所有的存有（being）不是there it is而是there it can become。除非德希達（Jacques Derrida）的未來（l’avenir）不在／再，凡存在的都必須面臨將來（le futur）不可預期的來襲。如此說來，人類最好／只能戒慎恐懼，臨深履薄地在希望中活著。 希望就是企求美好的變化。個人、家族、社會、國家乃至於世界如果有美善的盼望，未／將來就有可能是可以實現的美夢，而任何不堪回首的黑暗歷史負擔或許得以在此「希微之盼／望」中獲得救贖。 筆者在日本九州西南學院大學擔任交換教授期間所從事的另類的「文化夢遊」(dre)ambulation和撰寫這本《和雲：日本文化散策》的終極目的在此。

LONGLISTED FOR THE BOOKER PRIZE 2022歐普拉讀書會選書！奧克蘭青年桂冠詩人，文壇新銳莫特利以家鄉真實事件為藍本寫就。出身失能家庭，在困境中掙扎求生的非裔女孩，一樁交易將她置於風暴中心，卻也讓她成了警界醜聞的唯一證人，為此，無數雙黑手正朝她伸去。'GROUNDBREAKING . . . THIS IS GOING TO BE ONE OF THE BIG BOOKS OF 2022'STYLIST'AN ELECTRIFYING DEBUT'DAVE EGGERS'MARKS THE INTRODUCTION OF A REMARKABLE NEW TALENT'OPRAH DAILY'TRULY BEAUTIFUL AND POWERFUL'RUTH OZEKI'LEILA MOTTLEY'S WRITING ERUPTS AND FLOWS LIKE LAVA'TOMMY ORANGEWhen there is no choice, all you have left to do is walk.Kiara Johnson does not know what it is to live as a normal seventeen-year-old. With her mother in a rehab facility and an older brother who devotes his time and money to a recording studio, she fends for herself – and for nine-year-old Trevor, whose own mother is prone to disappearing for days at a time. As the landlord of their apartment block threatens to raise their rent, Kiara finds herself walking the streets after dark, determined to survive in a world that refuses to protect her.Then one night Kiara is p

《Civil Society》是一部探討公民自發行動與公共生活的經典著作，也是理解「公民社會」不可或缺的重要文本。面對近年來席捲全球的抗議運動與社會動盪，本書提醒我們：真正能長期塑造社會的力量，往往並不只存在於街頭或新聞焦點中，而是深植於人們日常參與的志願組織、社群與公民網絡之中。Civil Society has become a standard work of reference for anyone seeking to understand the role of voluntary citizen action in shaping society.Recent waves of global unrest have highlighted the visibility and impact of social movements and street protests in world politics. Yet, as this lucid and accessible book demonstrates, the real power of citizens more often flows through everyday participation in voluntary associations, community groups, and civic networks—forms of “normal” civic life that rarely make headlines. This is the deeper, underlying story of civil society.In this updated edition, Michael Edwards examines key developments that have rapidly transformed the civic landscape in recent years. These include the growing intersections between civil society and the market, such as social enterprises and “venture philanthropy,” as well as the

Professor William S-Y. Wang is among the most influential contemporary linguists. For several decades, he has been leading the development of Chinese Linguistics to a higher level. Professor Wang esta

每個人的內在都有看不見的能量正在流動著——我們稱它為陰性yyin.收錄了獨特且迷人的陰性敘事，主題圍繞當代尚未被充分挖掘及探索的性別議題，採中英雙語出版。本刊邀請LGBTQ+社群及關注相關議題的創作者們，與平面設計師合作，展開實驗性的視覺藝術創作。計畫團隊來自台灣，發起人Yagi相信，陰性是存在於每個人內在的流動能量，並與情感緊密相連，藉由反思個人身上具備的陰性特質，能幫助自身在多元性別的光譜中，取得身心的平衡及和諧。23位創作者及平面設計師參與第一期，背景多元，包含視覺及食物藝術家、表演藝術創作者、自媒體創作者、攝影師。首期以「陰性」為主題，講述8則超越傳統東方哲學的陰性敘事。 本期參與者：王昱惟、羅健宏、林明進、58kg、昶維、楊傑懷、古翔宇、黎偉翰、蘇河、張維佐、劉育齊、Dannison Wong、陳建威、楊慧欣、周語韜、郭于寧、陳楷恩、滕孟哲、王東岳、羅慶陽、垃圾文美少年、徐毅驊、漢娜Within each of us flows an unseen energy known as yyin.yyin. a bilingual English-Chinese art publication, captures and explores the enigmatic narratives of yin, and brings together the creative talents of the LGBTQ+ community and its advocates to develop experimental graphic artworks that express society’s gender diversity and provide a global platform for such stories to be heard.Originating from Taiwan, the first Asian country to legalize same-sex marriage, our team is inspired by traditional Eastern yin-yang philosophy. Founder, Yagi Wang, titled the publication yyin. reflecting upon the

The Gradient Test: Another Likelihood-Based Test presents the latest on the gradient test, a large-sample test that was introduced in statistics literature by George R. Terrell in 2002. The test has b

Membrane-Based Salinity Gradient Processes for Desalination consists of a series of chapters focused on the various types of membrane based salinity gradient processes that can be applied for desalina

Knit your way through every color of the rainbow!Add a whole new dimension to your knitting projects by utilizing gradient colors with help from Gradient Knits. Go from light to dark, add two-color co

Dealing with the basics, theory and applications of dynamic pulsed-field-gradient NMR NMR (PFG NMR), this book describes the essential theory behind diffusion in heterogeneous media that can be combin

This up-to-date book is on algorithms for large-scale unconstrained and bound constrained optimization. Optimization techniques are shown from a conjugate gradient algorithm perspective. Large part of

Gradient elution demystified Of the various ways in which chromatography is applied today, few have been as misunderstood as the technique of gradient elution, which presents many challenges compa

This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to enginee

Buoyancy is one of the main forces driving flows on our planet, especially in the oceans and atmosphere. These flows range from buoyant coastal currents to dense overflows in the ocean, and from avalanches to volcanic pyroclastic flows on the Earth's surface. This book brings together contributions by leading world scientists to summarize our present theoretical, observational, experimental and modeling understanding of buoyancy-driven flows. Buoyancy-driven currents play a key role in the global ocean circulation and in climate variability through their impact on deep-water formation. Buoyancy-driven currents are also primarily responsible for the redistribution of fresh water throughout the world's oceans. This book is an invaluable resource for advanced students and researchers in oceanography, geophysical fluid dynamics, atmospheric science and the wider Earth sciences who need a state-of-the-art reference on buoyancy-driven flows.

This book - a sequel of previous publications 'Flows and Chemical Reactions' and 'Chemical Reactions in Flows and Homogeneous Mixtures' - is devoted to flows with chemical reactions in heterogeneous e

This book - a sequel of previous publications ‘Flows and Chemical Reactions’, ‘Chemical Reactions Flows in Homogeneous Mixtures’ and ‘Chemical Reactions and Flows in Heterogeneous Mixtures’ - is devot

Ecological gradient analyses in a tropical landscapeThis volume contains a comprehensive analysis of ecological gradients in the Luquillo Mountains of Puerto Rico. This tropical island setting compris

Buoyancy is one of the main forces driving flows on our planet, especially in the oceans and atmosphere. These flows range from buoyant coastal currents to dense overflows in the ocean, and from avalanches to volcanic pyroclastic flows on the Earth's surface. This book brings together contributions by leading world scientists to summarize our present theoretical, observational, experimental and modeling understanding of buoyancy-driven flows. Buoyancy-driven currents play a key role in the global ocean circulation and in climate variability through their impact on deep-water formation. Buoyancy-driven currents are also primarily responsible for the redistribution of fresh water throughout the world's oceans. This book is an invaluable resource for advanced students and researchers in oceanography, geophysical fluid dynamics, atmospheric science and the wider Earth sciences who need a state-of-the-art reference on buoyancy-driven flows.

This book helps to bridge many soft material fields (materials science, chemistry, biomaterials) and introduces scientists not familiar with gradient substrates to new exciting opportunities for thei

In this book, the authors present the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits. The

The Lanczos and conjugate gradient (CG) algorithms are fascinating numerical algorithms. This book presents the most comprehensive discussion to date of the use of these methods for computing eigenval

This is a graduate text on turbulent flows, an important topic in fluid dynamics. It is up-to-date, comprehensive, designed for teaching, and is based on a course taught by the author at Cornell University for a number of years. The book consists of two parts followed by a number of appendices. Part I provides a general introduction to turbulent flows, how they behave, how they can be described quantitatively, and the fundamental physical processes involved. Part II is concerned with different approaches for modelling or simulating turbulent flows. The necessary mathematical techniques are presented in the appendices. This book is primarily intended as a graduate level text in turbulent flows for engineering students, but it may also be valuable to students in applied mathematics, physics, oceanography and atmospheric sciences, as well as researchers and practising engineers.

Instrumentation and Measurements in Compressible Flows presents detailed information on experiments in compressible fluid flows including technical information pertaining to a wide variety of applicat

Understand multiphase flows using multidisciplinary knowledge in physical principles, modelling theories, and engineering practices. This essential text methodically introduces the important concepts, governing mechanisms, and state-of-the-art theories, using numerous real-world applications, examples, and problems. Covers all major types of multiphase flows, including gas-solid, gas-liquid (sprays or bubbling), liquid-solid, and gas-solid-liquid flows. Introduces the volume-time-averaged transport theorems and associated Lagrangian-trajectory modelling and Eulerian-Eulerian multi-fluid modelling. Explains typical computational techniques, measurement methods and four representative subjects of multiphase flow systems. Suitable as a reference for engineering students, researchers, and practitioners, this text explores and applies fundamental theories to the analysis of system performance using a case-based approach.

An up-to-date comprehensive text useful for graduate students and academic researchers in the field of energy transfers in fluid flows. The initial part of the text covers discussion on energy transfer formalism in hydrodynamics and the latter part covers applications including passive scalar, buoyancy driven flows, magnetohydrodynamic (MHD), dynamo, rotating flows and compressible flows. Energy transfers among large-scale modes play a critical role in nonlinear instabilities and pattern formation and is discussed comprehensively in the chapter on buoyancy-driven flows. It derives formulae to compute Kolmogorov's energy flux, shell-to-shell energy transfers and locality. The book discusses the concept of energy transfer formalism which helps in calculating anisotropic turbulence.

While always episodic in nature, capital flows to emerging market economies have been especially volatile since the global financial crisis. After peaking at $680 billion in 2007, flows to emerging ma

Waves and flows are pervasive on and within Earth. This book presents a unified physical and mathematical approach to waves and flows in the atmosphere, oceans, rivers, volcanoes and the mantle, emphasizing the common physical principles and mathematical methods that apply to a variety of phenomena and disciplines. It is organized into seven parts: introductory material; kinematics, dynamics and rheology; waves in non-rotating fluids; waves in rotating fluids; non-rotating flows; rotating flows; and silicate flows. The chapters are supplemented by 47 'fundaments', containing knowledge that is fundamental to the material presented in the main text, organized into seven appendices: mathematics; dimensions and units; kinematics; dynamics; thermodynamics; waves; and flows. This book is an ideal reference for graduate students and researchers seeking an introduction to the mathematics of waves and flows in the Earth system, and will serve as a supplementary textbook for a number of courses

The increasing capital flows in the emerging markets and developed countries have raised various concerns worldwide. One main concern is the impact of the sharp decline of capital flows – so-called su

Modification of Polymer Properties provides, for the first time, in one title, the latest information on gradient IPNs and gradient copolymers. The book covers the broad range of polymer modification

This book presents simple, elegant methods for dealing, both in theory and in application, with a variety of problems that have formulations in terms of flows in capacity-constrained networks. Since t