Random Summation

This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of i

" This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. Topics include probability spaces and random variables,

A RANDOM WALK AROUND THE WORLD With the same clarity and insight that made Burton Malkiel's enormously popular A Random Walk Down Wall Street an influential bestseller, Global Bargain Hunting shows

Izzy and her friends have never liked school dinners. And they're getting worse. The dinner ladies are acting strangely (making up random rules, wearing hats, and cooking new food, even more horrible

Explores concept of probability, surveys rules for addition and multiplication of probabilities, conditional probability, total probability, Bayes formula, Bernoulli's scheme, random variables, the C

A collection of amazing random access facts about the world of robots and how they work.You'll never guess how tiny robots are helping bees, where giant robots are stopping traffic, what kinds of intrepid robots are exploring outer space and how clever robots learn to beat chess champions. Discover all this and lots more things to know about what robots can do, how they are designed and programmed and the part they will play in our future.

美國出版社Penguin Random House 資深總編、審稿人Dreyer運用15年的校對經驗，幽默簡潔筆法提出運用標點符號、選字等大大小小實用的寫作技巧，讓你無痛學習英文寫作。Adapted from the New York Times bestseller by Random House's longtime copy chief, this informative and witty guide to writing and grammar, written especially for a younger audience, entertains as well as instructs.Full of advice, insider wisdom, and fascinating facts, this book will prove to be invaluable to anyone who wants to be confident in their writing skills, or anyone who enjoys the power of language. Explored throughout are the mysteries of using punctuation, word choice decisions, and more, presented in a clear, concise and accessible manner made fun!

Wrap yourself in the magic of Christmas with your colouring pens and cosiest blanket, as you explore the brand-new Cozy Christmas Colouring Book, a special collaboration between Coco Wyo and Penguin Random House. It’s the perfect gift for anyone looking to unwind and enjoy a little holiday cheer. With simple, cute pages you can complete in one sitting, picture yourself snuggled up, colouring relaxing scenes of snow-covered rooftops, cosy fireplaces, and festive joy.A perfect Christmas gift, or a gift to yourself to help you relax and escape – this beautiful book will delight colouring book lovers of all ages!• 45 hand-drawn pages ready for your creativity• Thick, high-quality paper• Large, bold designs that are easy to colour• Convenient 8 x 8-inch size, perfect for relaxing anywhere• Crisp, high-resolution illustrations that bring each page to life

Dazzle your friends and family with unforgettable facts and astounding information from BBC children's television host, Radzi Chinyanganya. Ever wondered where to find out the answers to tricky questions about everything from sleep to snow and diseases to diamonds? Then look no further. What's the farthest distance ever run without stopping? Which language has the most words? How many times do we blink each day, year, or in an entire lifetime? How deep is the deepest hole that's ever been dug? How hot are the world's hottest chilies? What astonishing things happen every 60 seconds? Do you know the answers? If not, this book is for you! With quirky questions and answers about every topic you can possibly think of--no question is too random for Radzi!

《紐約時報》暢銷書、美國亞馬遜網站最佳文法參考書之一，超過1700位讀者4.7顆星好評推薦！ 繼《英文寫作風格的要素》（The Elements of Style）之後，最實用的英文寫作指南。 藍燈書屋（Random House）文稿總監匯聚三十年編輯經驗，集結用字精確、標點精準、詞句精練的智慧結晶，充滿有用建議與有趣知識，幫助你說個符合邏輯的好故事，提升寫作力！ 許

海鴿文化成立四分之一世紀‧紀念 探偵事務所◎ 美國推理作家協會（ＭＷＡ）票選百大推理小說第2名◎ 蘭登書屋（Random House）評選20世紀百大英文小說◎ 英國《衛報》評選必讀小說◎ 他在冷硬派小說的地位，相當於推理小說的愛倫‧坡加上柯南‧道爾！「漢密特用字遣詞乾淨俐落，寫作風格獨一無二。他擅長用簡練的文字刻畫人物，在美國小說界中，無人能出其右。」――《紐約時報》■ 他在冷硬派小說的地位，相

One of the most notable features of nanometer scale CMOS technology is the increasing magnitude of variability of the key device parameters affecting performance of integrated circuits. The growth of variability can be attributed to multiple factors, including the difficulty of manufacturing control, the emergence of new systematic variation-generating mechanisms, and most importantly, the increase in atomic-scale randomness, where device operation must be described as a stochastic process. In addition to wide-sense stationary stochastic device variability and temperature variation, existence of non-stationary stochastic electrical noise associated with fundamental processes in integrated-circuit devices represents an elementary limit on the performance of electronic circuits.In an attempt to address these issues, Stochastic Process Variation in Deep-Submicron CMOS: Circuits and Algorithms offers unique combination of mathematical treatment of random process variation, electrical noise

老子是道家的開山鼻祖，其所開創的道家思想對中國文化所產生的深遠影響，與孔子及其儒家學說足以分庭抗禮。本書是1948年林語堂先生為全球最大的圖書出版商藍燈書屋（Random House）的現代叢書（Modern Library）所編譯，在美國出版史上曾創造銷售佳績。全書闡釋了道家思想的獨特性，並前所未有的「以莊解老」，結合莊子研究老子，出版後廣受美國讀者的歡迎，一直以來皆為西方讀者了解老子及其學說的

中國首位諾貝爾文學獎被提名人林語堂英譯著作古典詩詞散文精選，深入體悟華文視野亙古智慧 全球最大出版商藍燈書屋（Random House）邀約好書 ◎系列緣起──關於林語堂與英譯作品 本系列書各篇均為林語堂先生自中國古典典籍與小品中選輯菁華，進行英文譯介，在國名家作品對照林語堂的英文名譯，可謂珠聯璧合。語堂先生曾在《古文小品譯英》（The Importance of Understanding）

本書是林語堂於1938年應全球最大的圖書出版商藍燈書屋(Random House)邀約而寫，列入現代叢書(Mondern Library)，在美國出版史上曾歷經數十年仍銷售不衰，是第一本系統性以英文向西方讀者介紹儒家學說的書籍，作者林語堂自司馬遷的《孔子世家》、《禮記》、《孟子》、《論語》、《中庸》和《大學》古籍中進行編選翻譯，架構全書系統，在翻譯原典時，作者不加任何評論，而將原文分段並加段目，只

本書是林語堂於1938年應全球最大的圖書出版商藍燈書屋(Random House)邀約而寫，列入現代叢書(Mondern Library)，在美國出版史上曾歷經數十年仍銷售不衰，是第一本系統性以英文向西方讀者介紹儒家學說的書籍，作者林語堂自司馬遷的《孔子世家》、《禮記》、《孟子》、《論語》、《中庸》和《大學》古籍中進行編選翻譯，架構全書系統，在翻譯原典時，作者不加任何評論，而將原文分段並加段目，只

Random walks are stochastic processes formed by successive summation of independent, identically distributed random variables and are one of the most studied topics in probability theory. This contemporary introduction evolved from courses taught at Cornell University and the University of Chicago by the first author, who is one of the most highly regarded researchers in the field of stochastic processes. This text meets the need for a modern reference to the detailed properties of an important class of random walks on the integer lattice. It is suitable for probabilists, mathematicians working in related fields, and for researchers in other disciplines who use random walks in modeling.

This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. The author shows how the application of the generalized scheme of allocation in the study of random graphs and permutations reduces the combinatorial problems to classical problems of probability theory on the summation of independent random variables. He concentrates on research by Russian mathematicians, including a discussion of equations containing an unknown permutation and a presentation of techniques for solving systems of random linear equations in finite fields. These results will interest specialists in combinatorics and probability theory and will also be useful in applied areas of probabilistic combinatorics such as communication theory, cryptology, and mathematical genetics.

This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. The author shows how the application of the generalized scheme of allocation in the study of random graphs and permutations reduces the combinatorial problems to classical problems of probability theory on the summation of independent random variables. He concentrates on research by Russian mathematicians, including a discussion of equations containing an unknown permutation and a presentation of techniques for solving systems of random linear equations in finite fields. These results will interest specialists in combinatorics and probability theory and will also be useful in applied areas of probabilistic combinatorics such as communication theory, cryptology, and mathematical genetics.

Serendipity is the luckiest kid in the world. But what happens when the luckiest kid in the world becomes extraordinarily unlucky, in this debut graphic novel. Serendipity is your classic overachiever. She's class president, lead in the school play, and star of the basketball team. She's also incredibly lucky, like, wins everything all the time lucky, even random radio raffles. Which is how she finds herself with free tickets to the town carnival where an accident curses her with bad luck FOREVER. And just like that Serendipity's luck really does seem to run out. Missed shots, fumbled lines, and a slip in the polls. Can it get any worse? Oh yes it can. Permanent bad hair days. Serendipity becomes convinced the curse is real. She's definitely not disorganized or spread too thin. Nope, it's all the curse. And she'll have to find a way to reverse it soon. Hilariously charming and illustrated in sugar pink hues, this graphic novel is a treat for kids who love middle school dramas and adora

Perfect for fans ofThey Both Die at the EndandYou’ve Reached Sam, this gripping, atmospheric YA novel follows a teen with a mysterious condition that transports her to the past when she smells certain scents linked to specific memories.Seventeen-year-old Aimee Roh has Sensory Time Warp Syndrome, a rare condition that causes her to time travel to a moment in her life when she smells something linked to that memory. Her dad is convinced she’ll simply grow out of it if she tries hard enough, but Aimee’s fear of vanishing at random has kept her from living a normal life.When Aimee disappears for nine hours into a memory of her estranged mom—a moment Aimee has never remembered before—she becomes distraught. Not only was this her longest disappearance yet, but the memory doesn’t match up with the story of how her mom left—at least, not the version she’s always heard from her dad.Desperate for answers, Aimee travels to Korea, where she unravels the mystery of her memories, the truth about her

《Kay的搞笑發明百科》，亞當·凱（Adam Kay）全新力作！繼暢銷書《Kay的身體百科》和《這會很痛》後，這本充滿笑料與知識的兒童書由喜劇搭檔亨利·帕克（Henry Paker）插畫。揭曉手機、學校等發明背後的奇趣故事：魔鬼氈竟由狗啟發？WiFi靈感來自電影明星？還有古希臘人用餐盤擦屁股、黃油中藏蟲卵等荒唐歷史！本書集結生活中最酷、最怪、最荒誕的發明，讓你笑中學，學中笑！Do you ever wonder where the stuff around you all came from? No, not from eBay. I mean, who had the amazing idea of making a mobile phone or the annoying idea of building a school? For example, did you know that Velcro was invented by a dog and WiFi by a movie star? (Spoiler alert - it wasn’t Zendaya.)In the fourth laugh-out-loud book from Adam Kay and Henry Paker, you’ll learn all about the coolest, grossest and most ridiculous inventions in the world. You’ll meet the queen who used the first ever toilet, learn why margarine used to be full of maggots and find out why Ancient Greeks wiped their bums on dinner plates.Oh, and hopefully some slightly more useful facts as well…An A to Kay to Z of the random, ridiculous and revolutionary inventions that changed our lives. (And some that definitely didn't

Olga can’t stand being called cute all the time—by her family, her friends, and even random strangers on the street—so her group of odd but lovable characters, each with their own special quirks, helps her discover her own hidden talents and qualities.Olga finds a creature in her garbage can one day, and all it says is “MEH!” It won’t eat, it won’t sleep, it snores, it stinks, and Olga adores it! And she’s determined to learn everything about it. She declares it an Olgamus, names it Meh, and studies it like mad. After a few days, she learns all about the scientific method, Jane Goodall, some of her favorite odd creatures, the ins and outs of friendship, and every human’s use for living in a community—and also that Meh loves olives.Perfect for fans of Dear Dumb Diary and My Big Fat Zombie Goldfish, and great preparation for El Deafo, Roller Girl, and Smile, the humor and two-color line art in Olga and the Smelly Thing from Nowhere are both irreverent and accessible.

一年前的隨機槍擊案改變了Nora一家，她與爸爸便前往峽谷，希望能找回心中的平靜，但當他們抵達谷底時洪水竟沖走了Nora的父親與他們所有物資，為了拯救自己與父親，她必須戰勝恐懼生存下去。Hatchet meets Long Way Down in this heartfelt and gripping novel in verse about a young girl's struggle for survival after a climbing trip with her father goes terribly wrong.One year after a random shooting changed their family forever, Nora and her father are exploring a slot canyon deep in the Arizona desert, hoping it will help them find peace. Nora longs for things to go back to normal, like they were when her mother was still alive, while her father keeps them isolated in fear of other people. But when they reach the bottom of the canyon, the unthinkable happens: A flash flood rips across their path, sweeping away Nora's father and all of their supplies.Suddenly, Nora finds herself lost and alone in the desert, facing dehydration, venomous scorpions, deadly snakes, and, worst of all, the Beast who has terrorized her dreams for the past year. If Nora is going to save herself and her father,

The wildly entertaining new novel from the bestselling author of Water for Elephants. Isabel Duncan, a scientist at the Great Ape Language Lab, doesn't understand people, but apes she gets—especially the bonobos Sam, Bonzi, Lola, Mbongo, Jelani, and Makena, who are capable of reason and communication through American Sign Language. Isabel feels more comfortable in their world than she's ever felt among humans—until she meets John Thigpen, a very married reporter writing a human interest feature. But when an explosion rocks the lab, John's piece turns into the story of a lifetime—and Isabel must connect with her own kind to save her family of apes from a new form of human exploitation.

"A generous collection with a distinctly upbeat tone, this gives a taste of the best poets writing for children over the last several decades. Lobel's drawings imbue the whole with action and graphic

＊隨書附贈台灣版獨家授權印簽 & 中文卡背｜小卡2張_55 x 85mm______GURI ver. & 隨機LIKE ver.（Random 1 out of 3）／｜李昌燮首部散文集｜身兼偶像團體BTOB成員、solo歌手、音樂劇演員、實用音樂教室CEO、網路綜藝節目主持人⋯⋯出道至今，走過了十數年漫長的歲月現在的我，是一個「適當的人」嗎？最困難的，就是找到那條「適當」的界線――讓所有事物不多不少、恰到好處、完美契合於當下的狀態。我只希望能以一種剛剛好的方式，「適當地存在」就好。／▍「適當」不是妥協而是歷經無數次挫折與努力後獲得的自由與平衡偶像團體BTOB成員、solo歌手、音樂劇演員、實用音樂教室CEO、網路綜藝節目主持人⋯⋯在不同領域皆有活躍表現的李昌燮，首度出版個人隨筆，以平實而細膩的文字，寫下他在工作與日常中的思索，也收錄了過去少有機會表達的真實心境。初踏入音樂劇領域時，苦惱於表現不夠完美，有位前輩曾如此建議：「就輕鬆做吧。」乍聽之下隨性，但昌燮隨即領悟到，這是徹底掌握每一處細節，於萬全準備之後才能在舞台上獲得的餘裕。在此之前，必須不斷練習、反覆思考，直到一切都抵達「適當」的狀態為止――不多不少、恰到好處、完美契合於當下。這本書，正是昌燮滿懷「想把每件事做好」的心意，為了抵達「適當」所經歷的歲月與淬鍊。他邀請讀者進入他的日常――與狗狗Guri相伴的生活、喜愛的電影、清涼的啤酒與冰美式、靜謐的夜晚⋯⋯是這些看似重複而微小的片刻，成為他表演及創作的靈感來源，也支持著他克服內在的恐懼，迎接新的挑戰。《適當的人》是關於一個想好好唱歌的人，至為真誠的內在探索之旅。透過這本書，回望我們走過的歲月，也能將自己經歷的點點滴滴，在昌燮的故事中獲得共鳴，也獲得力量。／「我就是這樣生活的。你呢？」希望我的故事，能以這樣的提問方式，走近那些尚未停下腳步、仍努力前行的人。雖然我沒辦法一一與各位對話、分享彼此的人生歷程，但如果能透過這本書，讓我們各自正在進行的故事產生一點點連結，那我就已經心滿意足了。──李昌燮

‧暢銷增訂收錄‧ SANAA在台建築作品，2025開館 ▌臺中綠美圖――快速欣賞指南+競圖興建歷程 ▌ 日本最具傳奇的建築俠侶 ●建築學者謝宗哲歷時十年書寫力作● 第一手近身觀察＋經典作品選粹導覽＋與台灣因緣＋日本名家SANAA論 伊東豊雄、石上純也、五十嵐太郎、長谷川祐子 ──訴說你不知道的SANAA故事 臺中綠美圖、21世界金澤美術館、紐約新美術館、羅浮宮朗斯分館…… 成長歷程、創業起始、創作養分、旅行壯遊到作品風格 ◎在旅行中被賦予勇氣，並親身感受這世上的瞬息萬變。──妹島和世 ◎跟妹島學到最多的，是她面對建築的姿勢。──石上純也 【SANAA建築旋風，臺中綠美圖引發熱議】 SANAA的建築有何魅力與過人之處？透過2025年12月開幕的臺中綠美圖，不必出國就能親身體驗。為何他們能在國際建築強權環伺的競爭下，脫穎而出？妹島和世與西澤立衛，如何成為建築家？充滿傳奇性的兩人，有著何種性格？在伊東豊雄事務所的憂鬱階段，如何激發妹島的獨立之路？什麼樣的觸動，讓大三時的西澤立衛放下電玩，義無反顧地投入設計？他們看似random、自由、浪漫的建築形態，背後有著如何的設計方法？他們如何設計出妹島建築╱西澤建築/SANAA建築？SANAA建築帶給我們什麼可期待的未來呢？ 90年代以來，SANAA這對建築俠侶身上發生了許多令人心動的奇蹟，包括2025年的台中綠美圖、1993年受邀在紐約MoMA輕構築中展出、2004年威尼斯建築雙年展贏得金獅獎、2010年妹島和世成為第一位贏得普立茲克建築獎的東方女性、2010年成為第一位受邀出任威尼斯建築雙年展總策展人的東方女性建築家，21世紀的十數年間，捲起了一陣屬於SANAA的建築旋風。 【最傳奇的日本女建築師──妹島和世】 妹島和世，看起來毫不起眼、嬌小玲瓏的日本女子，如何創造出這股風潮，成為當代最具影響的女性建築師呢？而追隨著他的建築男子西澤立衛，又是如何從跟隨她、演化成合夥人的角色、並逐漸走出屬於自己的建築之路？基於以上好奇、也因為對於其白色美學的偏好，筆者謝宗哲決定徹底地透過深度的典籍閱讀與實地建築體驗考察，來勾勒出他們建築創作之路的軌跡。 【歷時十年的寫作企圖】 這是一個延宕許久的書寫計畫。最初的構想，起始於將近10年前，SANAA在歐洲的建築代表作──法國羅浮宮朗斯分館開幕；再加上SANAA贏得了臺中綠美圖的競圖，以及毫不喘息地持

榮獲環境兒童文學獎 & 世界插畫獎入圍從一片小小綠芽，長出守護城市與地球的希望！【故事提要】在一座灰暗嘈雜的城市裡，山姆和爺爺懷抱著夢想，希望有一天能看到一片令人驚嘆的叢林。若這夢想成真，他們真的能守護這片綠林嗎？山姆發現了爺爺冒險時帶回的一顆神奇種子，並將它種下。一棵生命力旺盛的樹，便從家的中央生長出來。雖然需要時間適應，這棵樹最終讓未來的生活更加美好。這是一則適合所有年齡層的故事，訴說大自然的魔法，以及人們攜手合作能帶來的美好改變。此書為環境未來點亮了一盞希望之燈，而非停留在灰暗之中。不論是在家共讀，或懷抱改變世界的夢想，它都是一個能串起親子及祖孫情感的綠色故事。一棵小樹，能開展社區、城市，乃至整個地球的希望；孩子們在閱讀中，不只愛上樹木，也學會傾聽、合作與解決問題。這本溫暖的繪本獻給熱愛樹木和擁抱大自然的孩童，也獻給關心地球生態和都市綠化的每一位大人。它邀請我們與孩子一同行動，成為連結社區的綠色守護者！【獻詞】本書作者和出版社承認托雷斯海峽群島的原住民是傳統的守護者，也是我們生活與工作的這塊土地上，第一個訴說故事的人。我們尊敬托雷斯海峽群島的原住民，以及他們與土地、海洋、天空、社群持續不斷的連結，亦歌頌托雷斯海峽群島的原住民故事、傳統習俗，以及流傳至今的文化，在此謹向今日與往昔的長老致上最高敬意。【延伸活動】（資料來源：Penguin Random House Australia 官方網站）●親子級●（每題得分一顆★，沒有標準答案，鼓勵發揮閱讀理解和想像力）①這個故事裡有多少個角色？你認為除了人之外，其他元素也能成為故事裡重要的角色嗎？如何做到？書中有哪些非人類的強力角色？你還能想到其他類似非人類角色的故事嗎？②有些書在帶來閱讀樂趣的同時，也想傳達訊息。這個故事有什麼寓意或訊息？如果你寫書，你想傳達什麼呢？③想想你的家人或監護人，他們小時候有沒有旅行過？問問他們最喜歡的冒險經歷，並嘗試像爺爺的「冒險相片」那樣，畫一幅描繪他們冒險的畫吧。●玩家級●（每題得分三顆★★★，沒有標準答案，鼓勵觀察與資料整合）④比較砍倒後的樹樁和最後的相片，有什麼不同？你認為這代表什麼？作者想傳達什麼訊息？這帶給你什麼感受？⑤當樹被砍倒時，你感覺如何？能否製作以這種情感為中心的資訊圖表，並列出其他十件讓你產生同樣感受的事？⑥你對危害樹木和野生環境的人類活動了解多少？與同學配對進

從快速入門、主流應用到AI全面實戰連續6年榮登知名網路書店電腦資訊年度百大暢銷榜的Python學習最經典超過4萬名讀者見證與超過100位老師滿意的Python書籍榮獲各大通路電腦暢銷排行榜與海外指名授權圖書解決初學痛點，避免開發地雷集結熱門主題與AI技術，加值超過500分鐘影音教學內容由淺入深，範例程式精簡，執行效率再優化從200多個範例徹底掌握Python全面應用精髓Python是當今最熱門的程式語言，從網頁資料擷取、網站自動化測試、大數據分析、物聯網、機器學習與深度學習，到駭客攻擊工具等主流議題，Python都占據了重要的地位。本書以初學者的視角規劃學習地圖，並提供熱門主題實戰。從環境、語法、模組套件到主流技術應用，直接從實例學，讓學習者輕鬆入門，並能結合目前最受重視的實務運用，體驗Python最全面的應用魅力。Python學習最經典直擊關鍵技術領域，快速入門與實戰體驗Python的開發無極限■快速佈署Python開發環境，熟悉編輯器與執行方式。■詳細說明Python語法，由結構、變數、資料型態、運算式及判斷式進行學習引導，再深入迴圈、串列、元組、字典、函式與模組、檔案與例外處理等基礎且重要的內容。■詳述近50種實用的Python模組套件，如：random、os、os.path、sys、shutil、glob、locale、sqlite3、requests、re、bs4、BeautifulSoup、selenium、webdriver、time、matplotlib、pyplot、json、pytube、tkinter、flask、LineBotapi、LineNotify、ngrok、pydub、SpeechRecognition、pandas、OpenCV、numpy、pillow、PIL、Image、ImageDraw、ImageFont、math、pygame、mixer、gTTS、tempfile、PyAudio、googletrans、Translator、pyinstaller、pyfirmata、Arduino、pyserial…等，分析使用方式與注意事項，並以實例演練。■範例導引式學習，從小範例到專案應用實例。全新修訂並優化實作內容，從12個專案實戰貼近實務需求，即學即用即上手。■全面深入不同領域的應用主題，包括大數據網路爬蟲、資訊圖表繪製、影

◎什麼是斜率？這是微積分的基礎，化成火車時刻表就很好懂。 ◎球體的表面積和體積怎麼算？把水餃看成球，皮是表面積，餡就是體積。 ◎曲線的極值點是？就是股價圖的轉折處，反彈上漲時是極小值，下跌時是極大值。 本書作者劉祺，是程式設計師、數學達人， 他用10個生活中常見的場景，先說明數學的基本原理，再帶入微積分概念， 有別於一般教科書或講義直接強調公式定理、盲目計算證明， 就像有個精通微積分的朋友在面前，一步一步慢慢講解給你聽一樣。 函數、曲線、斜率、極限、導數、不定積分、均值定理、圓面積和圓周長…… 學測、分科測驗爭分關鍵、商學院大一必修， 基礎微積分概念，只要1天1小時，7天就能全部搞懂， 如果你怕重修、或重修中，這一回一定能輕鬆「過」。 ◎函數是啥？是一種對應關係。用「縮印」來比方 ‧如果1張紙裡可以印4頁內容，2張紙可以印8頁內容， 寫成算式就是：實際使用張數＝要列印內容的頁數÷4。 「實際使用幾張」紙，會隨著「要列印幾頁」內容而改變， 用函數y=f(x)來表示， 「要列印幾頁」是x，「實際使用張數」就是y。 ◎斜率是微積分的基礎，化成火車時刻表就好懂 ‧把火車時刻表畫成座標圖， 水平方向是時間，垂直方向是站名，斜率就是火車速度， 當速度越快，座標圖裡兩站之間的直線就越陡，斜率也越大。 ‧為什麼函數裡的數值越大，斜率越趨近於0？用揉麵團做比喻就知道。 剛開始揉時，添加少量麵粉，麵團一下就變大很多， 等到麵團大小達到臨界值時，再加入麵粉，體積變化就不明顯， 甚至看不出來（幾乎沒有變大就是趨近於0）。 ◎覺得微分較易懂，積分難想像？ 看一件衣服用掉多少布，學曲邊梯形面積怎麼算 ‧衣服的每一片布面，都可以看成是一個由曲線圍成的面積， 布料裡的織線，就像是把圖形切成寬度趨近於0的長方形， 把所有長方形（所有織線）加總起來， 就是曲邊梯形的面積（布面面積）。 ◎看到符號就頭痛？其實意思很直白 ‧微積分裡最常見的符號∫， 是英文單字Summation（總和）字首S的變形， 表示計算後方運算式的「和」，類似於∑（sigma）。 ‧還有lim、x→x0、f(4)…… 是什麼意思？為什麼有時可以省略？ 商管學院學生必備、高中生爭分必讀，快速搞定斜率、曲邊梯形面積、極限…… 微積分不再是大魔王。

結合Matlab與ROS快速上手無人自走車 波士頓顧問公司(BCG)預測2025 年全球自動駕駛車市場銷售上探 420 億美元，而了解自駕車 AI 原理最好方式就是從無人自走車開始。本書以深入淺出方式帶領對自走車技術有興趣的社會人士或是高中職、大專程度學生了解無人自走車原理與實現方式，並透過本書實驗範例與程式可以在家動手實作無人自走車。 ‧本書提出以 MATLAB®　圖形化的元件程式環境與 ROS 整合方式，相較完全以 ROS 的開發方式，本書方法大幅降低無人自走車程式門檻 ‧本書使用 TurtleBot3自走車套件，硬體包括單板電腦、馬達驅動板、雷射測距感測器 ‧本書介紹常用自走車演算法包括快速隨機搜索樹演算法(Rapidly-exploring random tree, RRT)、單純追踪演算法 (Pure Pursuit)、向量直方圖演算法 (Vector Field Histogram, VFH)、佔據柵格地圖 (Occupancy grid map)、同步定位與地圖建構 (Simultaneous Localization and Mapping, SLAM)。 ‧本書提供無人自走車初階與高階實驗範例與程式，讓讀者可以按部就班的在家操作並經歷實現自走車的成就感。 本書利用 MATLAB® 及 ROS2 的軟體整合，並使用 TurtleBot3 自走車套件來引領讀者輕鬆實現「路徑導航 (Navigation)」、「避障 (Obstacle Avoidance)」、「同步定位與地圖建構 (Simultaneous Localization and Mapping, SLAM)」。對於需要進行專題實驗的學生或是工作上有需要的社會人士，本書將是不可或缺的一本參考書籍。

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered. The author's focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation formulas and identities, which can be used as a handbook for people working in computer science, applied mathematics, and computational mathematics, particularly, combinatorics, computational discrete mathematics, and computational number theory. The exercises at the end of each chapter help deepen understanding.Much of the materials in this book has never appeared before in textbook form. This book can be used as a suitable textbook for advanced courses for high lever undergraduate and lower lever graduate students. It is also an introductory self-study book for re- searchers interested in t

This graduate textbook presents function theoretic methods for the summation of sums and series, specifically a computational technique based on residue theory for the summation of series of both hype

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of th

Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple?.The algorithms of Fasenmyer,

Probability, Random Variables, Statistics, and Random Processes: Fundamentals & Applications is a comprehensive undergraduate-level textbook. With its excellent topical coverage, the focus of this

This book covers random signals and random processes along with estimation of probability density function, estimation of energy spectral density and power spectral density. The properties of random p

This book covers random signals and random processes along with estimation of probability density function, estimation of energy spectral density and power spectral density. The properties of random p