Loop

This timely volume provides a broad survey of (2+1)-dimensional quantum gravity. It emphasises the 'quantum cosmology' of closed universes and the quantum mechanics of the (2+1)-dimensional black hole. It compares and contrasts a variety of approaches, and examines what they imply for a realistic theory of quantum gravity. General relativity in three spacetime dimensions has become a popular arena in which to explore the ramifications of quantum gravity. As a diffeomorphism-invariant theory of spacetime structure, this model shares many of the conceptual problems of realistic quantum gravity. But it is also simple enough that many programs of quantization can be carried out explicitly. After analysing the space of classical solutions, this book introduces some fifteen approaches to quantum gravity - from canonical quantization in York's 'extrinsic time' to Chern-Simons quantization, from the loop representation to covariant path integration to lattice methods. Relationships among quant

This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products and Clebsch-Gordan coefficients, invariant tensors, subalgebras and branching rules, Young tableaux, spinors, Clifford algebras and supersymmetry, representations on function spaces, and Hopf algebras and representation rings. A detailed reference list is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems. The text is written at

This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The book contains many worked examples and is suitable for use as a textbook on graduate courses. It also provides a comprehensive reference for re

The only method of circuit analysis known to most engineers and students is nodal or loop analysis. Although this works well for obtaining numerical solutions, it is almost useless for obtaining analytical solutions in all but the simplest cases. In this unusual 2002 book, Vorpérian describes remarkable alternative techniques to solve, almost by inspection, complicated linear circuits in symbolic form and obtain meaningful analytical answers for any transfer function or impedance. Although not intended to replace traditional computer-based methods, these techniques provide engineers with a powerful set of tools for tackling circuit design problems. They also have great value in enhancing students' understanding of circuit operation, making this an ideal course book, and numerous problems and worked examples are included. Originally developed by Professor David Middlebrook and others at Caltech (California Institute of Technology), the techniques described here are now widely taught at

String Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is included. This is an essential text and reference for graduate students and researchers interested in modern superstring theory.

The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. The theory is introduced at a level suitable for graduate students. Numerous examples are then given to illustrate the peculiar properties of the Dirac operator, and the role of boundary conditions in heat-kernel asymptotics and quantum field theory. Topics covered include the introduction of spin-structures in Riemannian and Lorentzian manifolds; applications of index theory; heat-kernel asymptotics for operators of Laplace type; quark boundary conditions; one-loop quantum cosmology; conformally covariant operators; and the role of the Dirac operator in some recent investigations of four-manifolds. This volume provides graduate students with a rigorous introduction and researchers with a valuable refer

PLL為Phase Locked Loop的簡稱，也稱為相位鎖定迴路。主要是使用信號的頻率與相位固定於某一基準的一種電路技巧。PLL的發明歷史很久，最近由於IC技術的進步，以及可應用產品的增加而受到重視，最普遍為大家所瞭解的PLL應用例子為彩色電視機的同步檢波，FM立體聲的解調，數位選台（頻率合成器）。使用PLL方式可以使頻率穩定、正確，以達到高性能化、高穩定化的目的。在衛星廣播方面，

Super Rabbit Boy must escape a time loop in the latest page-turning installment of this USA Today bestselling series!Pick a book. Grow a Reader! This series is part of Scholastic's early chapter book line, Branches, aimed at newly independent readers. With easy-to-read text, high-interest content, fast-paced plots, and illustrations on every page, these books will boost reading confidence and stamina. Branches books help readers grow!Meanie King Viking has frozen Animal Town in time with his new Time Zapper! Super Rabbit Boy races to King Viking's factory to stop him from causing more time trouble. But as soon as the sun sets, he finds himself back at Carrot Castle at the start of the day! Every time Super Rabbit Boy heads to Mount Boom, the sun sets before he can get there and he is forced to restart his adventure again and again. Can Super Rabbit Boy restore time and save his friends? Or will he be stuck repeating the same day forever?Thomas Flintham's full-color artwork on every pag

本書全面介紹OpenClaw的核心原理、部署方法、技能開發以及企業級應用實戰，構建從入門到精通的完整學習路徑。全書共分為5篇，總計14章。第1篇為入門篇，引導讀者快速完成OpenClaw的本地部署與首次交互；第2篇為原理篇，深入剖析Gateway/Node核心架構、Agent Loop機制、沙箱安全模型等底層邏輯；第3篇為擴展篇，詳細講解如何通過ClawHub發現技能，並從零編寫、測試、發佈專屬技能，解鎖自定義能力；第4篇為部署與集成篇，涵蓋雲服務器、容器化部署方案，以及與飛書、企業微信、釘釘等協同工具的深度集成，打通企業工作流；第5篇為實戰案例篇，通過公眾號文章生產、小紅書自動化運營、市場調研報告撰寫、開發者工具鏈自動化、數字第二大腦搭建等五大真實場景，全方位展OpenClaw 的落地價值與強大生產力。本書適合對AI Agent、自動化工作流感興趣的開發者與技術愛好者，尋求高效內容生產方案的自媒體人、內容創作者，希望通過智能工具優化協作流程的產品經理、團隊管理者，需要高效管理知識與處理海量文檔的知識工作者，以及各類希望借助AI提升個人與團隊生產力、探索智能化工作新方式的職場人士閱讀。

哥哥帶著弟弟回到那座他們與父親共度夏天的湖。岩石依舊，湖水依舊，唯獨父親不在。弟弟望著遠方的水面，遲疑、害怕，卻在哥哥的陪伴下，終於鼓起勇氣再次躍入懷念的湖中。Angie Kang 以極具詩意的敘事和柔軟的繪畫語言，捕捉悲傷與愛並存的瞬間。這不只是關於失去的故事，更是關於陪伴、記憶與成長的深刻篇章。A breathtakingly vulnerable and tender exploration of love and loss that follows two boys as they take their first trip back to the lake without their father, from debut author-illustrator Angie Kang. Today, Brother is taking me up to swim in the lake like Father used to. I want to thank him for bringing us here, but I can't find the words. Instead, I loop my arms around his torso, and he does the same back. Here, in our lake, the water holds us close. On a sweltering hot day, a little boy mirrors his brother as he takes off his shirt, stretches, and walks toward the edge of the tall rock, ready to dive into the cool lake waters glistening below. Only this time, Father is not here. And the water looks so far away. How can he take the plunge? With a gorgeous, deft touch in her exquisitely soft illustrations and words, Angie Kang conveys vu

本書涵蓋有關錄音的各個方面，非常適合初級、中級錄音師、音樂製片人、音樂工作者及音頻愛好者等學習使用。本書對設計家用錄音室（無論是低檔的還是高檔的）並進行安裝、聲學處理及優化、話筒與監聽音箱的選用等都提供了許多訣竅和捷徑，並為想親自動手實踐的讀者提供了指導和建議。熱門的指導還包括如何為樂器和人聲拾音、如何評價錄音作品並加以改善、MIDI（樂器數字接口）及Loop（循環素材）的製作、母帶製作及如何在網上出售錄音作品等。還有兩章分別介紹了古典音樂和流行音樂的同期錄音。本書在以下幾個方面進行了改進。·本版書中所述及的各類錄音設備、插件、程序及錄音軟件均已更新完成。·著重強調數字音頻工作站（DAW）的信號流程與操作（錄音與縮混期間）等。關注當前業界和教育的發展趨勢，但仍沿用模擬信號的基本原理。·更新了Windows和macOS兩類計算機多軌錄音的優化技巧。·新增了介紹數字調音台使用、心理聲學的音頻數據流、手持設備錄音及實況錄音等章節。

經歷了最爛的一天之後，更糟的是什麼？大概是和你的頭號死敵重新經歷一遍。Barrett和Miles一起被困在時間迴圈裡，不對盤的兩人只能攜手合作。他們的日子，以及他們的關係，最後到底有沒有辦法往前進呢？From the author of Today Tonight Tomorrow comes a magical romance in the vein of Groundhog Day about a girl forced to relive her disastrous first day of collegeonly to discover that her nemesis is stuck in the time loop with her.Barrett Bloom is hoping college will be a fresh start after a messy high school experience. But when school begins on September 21st, everything goes wrong. She's humiliated by the know-it-all in her physics class, she botches her interview for the college paper, and at a party that night, she accidentally sets a frat on fire. She panics and flees, and when she realizes her roommate locked her out of their dorm, she falls asleep in the common room. The next morning, Barrett's perplexed to find herself back in her dorm room bed, no longer smelling of ashes and crushed dreams. It's September 21st. Again. And after a confrontation with Miles, the guy from Physics 10

隨著 JavaScript 逐漸成為通用的編程語言，它在軟件開發中的地位越來越高，已經不再只是給 HTML 編寫交互的客戶端腳本語言了，而是可以勝任前端、後端、大數據和機器學習等應用的全面語言。 JavaScript 從 2015 年以來走向規範化後，新出了很多新特性，而市面上少有書籍介紹它們，所以本書對ES6 到 ES2021 的新特性作了較為詳盡和深入的介紹，並且全書的語法可以適應各端開發人員所需。本書共 14 章，涵蓋了 JavaScript 的發展歷史、運行環境、基礎語法、運算符、數組、函數式編程、面向對象基礎、原型鏈、異步編程、Event Loop、模塊化、迭代器和生成器、Symbol、Reflect 和 Proxy 的概念和使用方法，每個章節都有配套的示例，對於較難理解的部分還會提供視頻講解，旨在讓讀者真正掌握這些語法和新特性，在以後的開發過程中不再有基礎語法上的疑問。最後給出了兩個 JavaScript 綜合案例，分別使用面向對象編程風格和函數式編程風格，以掌握 JavaScript 的不同開發範式。本書非常適合有其他編程語言基礎或對 JavaScript 語言有初步瞭解的工程師閱讀，如果是初學者，也可以通過仔細閱讀加練習達到完全掌握的目的。

睜眼就看見鬼魂，同時身為校園裡少數非裔學生，Jake的生活簡直是場噩夢，直到帥氣的Allister出現。眼看Jake的生活終於要添上一點浪漫色彩，一切卻急轉直下…作者以靈異驚悚為主題，連帶揭露了生活周遭對種族與性向的幽微歧視：摸不著的惡意同樣令人膽寒。Sixteen-year-old Jake Livingston sees dead people everywhere. But he can't decide what's worse: being a medium forced to watch the dead play out their last moments on a loop or being at the mercy of racist teachers as one of the few Black students at St. Clair Prep. Both are a living nightmare he wishes he could wake up from. But things at St. Clair start looking up with the arrival of another Black student—the handsome Allister—and for the first time, romance is on the horizon for Jake. Unfortunately, life as a medium is getting worse. Though most ghosts are harmless and Jake is always happy to help them move on to the next place, Sawyer Doon wants much more from Jake. In life, Sawyer was a troubled teen who shot and killed six kids at a local high school before taking his own life. Now he's a powerful, vengeful ghost and he has plans for Jake. Suddenly, e

https://youtu.be/ptXL1_XmjjM 這不是一本給初學者的JavaScript教科書。相反地，它是寫給那些已經學過JavaScript卻依然感到卡關，對某些觀念依然模糊的開發者。 就像大學課程一樣，或許都是死背答案，考試時題目一變就被當掉了。這時該怎麼辦呢？重修就好。 那為什麼要再學一次呢？因為我相信許多人第一次都沒有真的把這些觀念學進去，只是為了應付面試而已，面試結束就忘了。這也合理，因為許多地方都是教你這些知識，卻沒告訴你要用在哪裡。 這本書共分成了五個章節，分別是： 1. 從重新認識JavaScript開始 2. 重要與不重要的資料型別 3. 物件與有趣的prototype 4. 從scope、closure以及this談底層運作 5. 理解非同步 每個章節都對應到了一些令初學者很頭痛的話題，而你至少可以找到底下疑問的解答： 1. 知道this是什麼要幹嘛？ 2. 知道[]+{}的結果是重要的嗎？ 3. Closure到底可以用在哪裡？ 4. Prototype chain好複雜，為什麼又是prototype又是__proto__？ 5. 理解Event loop中的microtask可以幹嘛？ 6. Call by value、call by reference還是call by sharing，重要嗎？ 7. 我怎麼知道自己學習的東西是不是對的？ 8. 我學這些知識在實際開發中到底有什麼用？ 本書不教你死背知識，而是給你一個合理的學習理由，並且藉由實際的案例來帶入這些知識，告訴你為什麼要學習，在開發時又會用在哪裡。 有些人會說「以後AI要取代軟體工程師了，還需要學這些嗎？」，如果你現在就打算轉行，那確實不需要了。但我相信AI無法完全取代，還是要有人負責debug跟確認AI寫的東西，並負起責任。當僧多粥少時，誰的硬實力比較強，就有越多的優勢，而這就是在AI時代下繼續學習的理由。 在《JavaScript重修就好》這本書中，會秉持著重修的精神，相同的語法、相同的知識，但是為讀者帶來嶄新的體驗，並且發現這些知識背後的關聯以及學習的美好之處。我們會逐個擊破那些JavaScript中的重要概念，更進一步去理解它的原理以及特別之處，還有在實際開發上的應用。

The elite forces of the Soviet Union and its Warsaw Pact allies in the mid-1980s were undoubtedly the largest in the world, and among the least known. The Soviet elite formations alone had a total str

A high-speed Hot Wheels story that is perfect for beginning readers!Team Hot Wheels is taking on a double loop challenge! Team Green and Team Blue are both trying to race around the Double Dare loop t

This book explains the complete loop to effectively use self-tracking data for machine learning. While it focuses on self-tracking data, the techniques explained are also applicable to sensory data in

Fashion Ethics is the first book to provide a comprehensive overview of the ethical issues in the fashion industry: from collection design concept to upcycling and closed loop production. This book an

Fashion Ethics is the first book to provide a comprehensive overview of the ethical issues in the fashion industry: from collection design concept to upcycling and closed loop production. This book an

The perfect bring-along accessory for exploring Chicago like a native. Walks include: Millennium Park The Loop Magnificent Mile Navy Pier ...And more!

This work presents traditional methods and current techniques of incorporating the computer into closed-loop dynamic systems control, combining conventional transfer function design and state variable

In a book they developed from and for a college course in radar tracking, Budge and German explain how to build, analyze, and simulate closed loop trackers that might be applicable to modern, mult

The Mammoth Book of Logical Puzzle Mazes is filled to the brim with over 450 loop-finding, path-placing, and brain-teasing mazes. It is perfect for improving your memory and sharpening your mind.

Fear gripping me, a feeling I was all too familiar with, I grabbed the leash where it clipped onto her collar and slid my hand to the loop at the end as I turned to run. The great German Shepherd dash

Part 2 of a readable two-part, no-nonsense ramp-up into the very depths of control loop theory -- from Sanjaya Maniktala, reputed author of over six well-known books of power electronics. Go confident

Part 1 of a readable two-part, no-nonsense ramp-up into the very depths of control loop theory -- from Sanjaya Maniktala, reputed author of over six well-known books of power electronics. Go confident

Composed and confident, Sofie Roberts is thrown for a loop when she runs into the one man who makes her feel like the weak-kneed, starry-eyed young girl she’d been years before—her childhood crush, Br

Research on women and policing is often fragmented—focusing on one particular country, or at most, comparing one or two countries across continents. This book aims to close the loop by examining polic

Spring should bring renewal, but Maura McKnight-Parker cannot escape the past. Still reeling from the loss of one daughter, the former free spirit is thrown for a loop by the return of her older daugh

After closing a time loop fiasco in The Disappearance of Haruhi Suzumiya (Vol. 5), our protagonist Kyon is ready to start a new year with a blank slate--no time travel, no apocalyptic worries, and may

After closing a time loop fiasco in The Disappearance of Haruhi Suzumiya (Vol. 5), our hero Kyon is ready to start a new year with a blank slate--no time travel, no apocalyptic worries, and maybe some

Few things are as exciting as a fast-paced roller coaster ride. The thrill of a huge, sudden drop or a giant loop can be both exhilarating and terrifying. From the Kingda Ka in New Jersey to the Steel

Lola is convinced that this is the year that she?ll finally be tall enough to ride the ?Super Duper Loop-the-Looper? rollercoaster. But when Charlie measures her on a growth chart, it shows that she?s

In this fun-filled story based on the Disney classic, Dumbo learns what can happen when he tries to fly. From clowning in the circus to doing loop-the-loops, Dumbo’ s antics will fill kids with confid

The information technology revolution is transforming almost every aspect of society, but girls and women are largely out of the loop. Although women surf the Web in equal numbers to men and make a ma

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