Functional Equations on Hypergroups

The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functio

This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating th

The monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle. Such equations systematically arise in dynamical systems, different

當那盛大的「普佳」節到來，鄰人的孩子們都來屋子四周玩耍，我要溶化在笛的樂聲中，整天在你心中震盪著。 親愛的姨母將帶著「普佳」的禮物來問：「姊姊，我們的孩兒呢？」媽媽，那麼你輕輕地對她說：「他在我的瞳人中，他在我的身體中，我的靈魂中。」 ──《新月集》‧終結 When, on the great festival of puja, the neighbours' children co

Functional Clothing Design comprehensively explores how wearable products are designed and created for a specific purpose using the latest technological innovations. This cutting-edge text is ideal f

This book focuses on the various functional properties and potential applications of one-dimensional ZnO nanostructures, from basic principles to our most recent discoveries. It comprises experimental

匈奴一直是中國北方惱人的外患。經過漢文帝、漢景帝的休養生息之後，漢武帝時終於有能力可以對抗匈奴了。為了聯合月氏夾擊匈奴，漢武帝派遣張騫出使西域。身為中國第一位「外交官」，張騫有什麼樣的心情和眼界呢？他如何克服內心的恐懼，踏入一個完全未知的世界呢？ 關於張騫的記載，在《史記》中只有列在〈大宛列傳〉中的幾筆文字，由於張騫的傳奇色彩，作者特別將張騫和線上遊戲的製作連結，以古今交錯的敘述方式，費心揣摩張

文法其實不只是規則排列，只要您懂得抓住訣竅，它也可以是根釣竿，帶領您 在浩瀚英語大海中遨遊。 常言道：給他魚吃不如教他抓魚。從前的英語文法教學，只講述而不解釋，無 怪乎學生一知半解的多，能活用者少；本書嘗試突破傳統做法，改從紮根做起，帶 領學習者深入英語的源頭，找尋文法的生命力。 舉例來說，您想知道為什麼說on the farm要比in the farm來得自然嗎？ in the hospit

本書打破死背介系詞意義和片語的方式，針對 ．Over/Through/About/Across/By/To/Of.... ．表示場所的In,On,At ．表示時間的In,On,At ．About/Before/During/From/Into/Under/Without.... 先劃出基本圖型，說明各個介系詞的基本意義，再運用「家族樹的臉譜」原理， 將介系詞的各種衍伸用法連繫起來，讓

Karl Theodor Jaspers (February 23, 1883 – February 26, 1969) was a German psychiatrist and philosopher who had a strong influence on modern theology, psychiatry and philosophy. After being trained in

The book clearly and concisely explains the basic principles of Lagrangian dynamicsand provides training in the actual physical and mathematical techniques of applying Lagrange's equations, laying the

Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown fun

Lectures on Electromagnetic Theory provides a concise, self-contained introduction to graduate-level electromagnetic theory, organized for a one-semester course. Written in a "theoretical minimum" style, the text emphasizes clear physical insight and mathematical precision. The five chapters cover Maxwell equations and fundamental theorems; wave propagation, plane-wave expansion, and guided waves; electromagnetic radiation and Green functions; analytical scattering theory for canonical targets; and an introduction to relativistic electrodynamics linking classical electrodynamics with special relativity. The book serves both beginning graduate students and researchers seeking a compact reference.

《圓覺經》全名《大方廣圓覺修多羅了義經》，透過文殊師利等十二位菩薩與佛陀的問答，宣說如來圓覺妙理，揭櫫一切眾生具足圓覺妙心，是指引如何修行成佛的經典。《圓覺經》廣受唐代天台、華嚴、禪宗、密宗重視，北宋郭印提出佛教四書，清末吳坤修甄選釋氏十三經，它從未缺席，又早早流布高麗與鎌倉時代的朝鮮、日本。該經一卷之薄，允為東亞漢傳佛教「經中之睛」。是次新注新譯，深度利用東亞文獻以校勘、輯佚，紹述唐僧玄奘忠於原典及思想、語言原貌之傳統，從佛學乃至文學角度，予以精當闡釋，化深奧為易懂，內容至簡至要。〈導讀〉一文更明析該經結構、善本、善注、文體，乃至東亞古典時代地位諸議題。研讀佛教經典者，切莫錯過。The Sūtra of Perfect Englightenment 圓覺經, whose full title is The Nītârtha Sūtra on the canon of the great and expansive Perfect Enlightenment (Dà fāngguăng yuánjué xiūduōluó liǎoyì jīng) 大方廣圓覺修多羅了義經, uses a conversation between the Buddha and twelve Bodhisattvas, led by Mañjuśrī, to promulgate the wondrous doctrine of perfect enlightenment. It discloses that all sentient beings have an innate mind of perfect enlightenment, and guides them on how to train to attain Buddhahood. In the Tang dynasty, the Sūtra of Perfect Enlightenment was held in high esteem by the Tiantai, Huayan, Chan, and Vajrayāna (Esoteric) schools. And it was listed in the four Buddhist classics proposed by the Northern Song’s G

Functional programming (函數式程式設計) 是一種已有六十年歷史的程式設計範式，為何現在變得越來越重要？這是因為隨著各種連網設備 (如行動裝置) 和雲端服務的普及，多程序透過網路交換訊息已成為常態，因此分散式系統的開發變得至關重要。分散式系統軟體開發的複雜性往往導致開發過程容易陷入混亂，程式碼盤根錯節難以除錯維護與擴展，成為揮之不去卻又不敢動的痛處。而 functional programming 的簡約風格因此受到廣泛關注。這種設計範式強調使用函式來構建應用程式，程式碼清晰又容易維護，亦能解決分散式系統多執行緒的問題。除了專門的函數式語言之外，Python、Java、JavaScript、C#、C++、Go 和 Rust 等知名語言的新版中，也因應趨勢增強了對 functional programming 的支援。只要建立了這種思維方式，你就可以應用在自己的程式語言中。市面上與 functional programming 相關的書籍 (主要為英文書) 通常由學者撰寫，內容偏重理論，而在大型實務專案經驗上顯得不足。這類書中的範例大多過於簡單，未能涉及實際軟體架構問題。與此相反，本書作者擁有二十年在產業界實際運用 functional programming 的經驗，從產業角度出發，旨在幫助那些在軟體工程實踐中遇到困難的工程師重新思考。即使你的目的不是分散式系統，學習 functional programming 的思維都能夠幫助你在撰寫任何程式時想得更周到。由於 functional programming 的特點 — 無 side effects（額外作用）和資料的不可變性 — 使得它非常適用於開發網路程式，在這種環境中，資料一致性和狀態管理是關鍵挑戰。本書透過 concurrency primitives（併發基本工具）實作、繪製時間線圖、分析並解決併發操作中的插緒問題，有效處理狀態變化和 bug，從而構建可靠的分散式系統程式。本書特色: ●作者從產業界的視角出發，旨在幫助那些陷入困境的軟體工程師，重新審視並採納 functional programming 程式設計方法。●為了更貼近軟體工程師的實際狀況，書中以廣泛熟知的 JavaScript 語言做示範。雖然 JavaScript 不是最理想的函數式語言，但這一點

Published, posthumously, this volume is both a summing up and a reformulation of Malinowski's functional theory of culture.

Learn C++ by Programming to Solve Simultaneous Equations. Learn Chinn (1202-1261) and Gauss (1777-1855

Learn C++ by Programming to Solve Simultaneous Equations. Learn Chinn (1202-1261) and Gauss (1777-1855

This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the

This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the

This book provides a crash course on various methods from the bifurcationtheory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and t

Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the

The qualitative theory of impulsive functional differential equations, which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential eq

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations.This self-contained monograph e

The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Volterra equations and other types of functional-differential equations.

A cohesive and exhaustive account of the modern theory of iterative functional equations.

This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolution equations. In particular the contributions deal with Markov semigroups

Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for stu

The last, previously unpublished paper by French mathematician Grisvard joins 16 others from a November 1994 conference on functional as applied to partially differential equations, a particular inter

Builds on an earlier work by J. Hale, Theory of Functional Differential Equations , 1977. Approximately one-third of the material is left intact. A completely new presentation of linear systems for r

Presents a unified treatment for a branch of the theory of functional equations, the main idea being to use the fundamental results about spectral synthesis on discrete abelian groups. Acidic paper. A

A cohesive and exhaustive account of the modern theory of iterative functional equations.

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Furnish for how you would like to live, not for what you want people to think.'When interior designer Frida Ramstedt moved from a characterful old apartment to a functional new build, she started to t

This book is a standard for a complete description of the methods for unconstrained optimization and the solution ofnonlinear equations....this republication is most welcome and this volume should be

Teams are critical to the success of every organization. Departmental, interdepartmental, cross-functional, ad hoc, task-specific—teams do everything from planning the office party to setting the annu

Mesoscale weather systems are responsible for numerous natural disasters, such as damaging winds, blizzards and flash flooding. A fundamental understanding of the underlying dynamics involved in these weather systems is essential in forecasting their occurrence. This 2007 book provides a systematic approach to this subject. The opening chapters introduce the basic equations governing mesoscale weather systems and their approximations. The subsequent chapters cover four major areas of mesoscale dynamics: wave dynamics, moist convection, front dynamics and mesoscale modelling. This is an ideal book on the subject for researchers in meteorology and atmospheric science. With over 100 problems, and password-protected solutions available to instructors at www.cambridge.org/9780521808750, this book could also serve as a textbook for graduate students. Modelling projects, providing hands-on practice for building simple models of stratified fluid flow from a one-dimensional advection equation,

Clear-eyed and spirited, Taylor Greer grew up poor in rural Kentucky with the goals of avoiding pregnancy and getting away. But when she heads west with high hopes and a barely functional car, she mee

I he art of stone carving has a long history in China. Created with astonishing skill, Chinese stone carvings are artistically appealing, highly functional as well as decorative, revealing distinctive

One of the nation’s elite strength and conditioning coaches presents a unique training program designed to help men achieve functional strength and muscular balance throughout their bodiesFor d