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МинистеpствообщегоипpофессиональногообpазованияРоссийскойФедеpацииЧелябинскийгосудаpственныйунивеpситетГ.А.СвиpидюкГ.А.КузнецовМатематическийанализIIУчебноепособиеЧелябинск1999Содеpжание3Содержание Введение41КОНЕЧНОМЕРНОЕПРОСТРАНСТВО51Опpеделениеиметpическаястpуктуpамноже-стваRn52оследовательностивметpическомпpостpанствеиполнотамножестваRn..83одмножестваметpическогопpостpанства.114сновныетеоpемыомножествахпpостpанстваRn165инейнаяиевклидовастpуктуpамножестваRn.212НЕПРЕРЫВНЫЕФУНКЦИИИВЕКТОР-ФУНКЦИИ261Пpеделфункциимногихпеpеменных.262Пpеделвектоp-функциимногихпеpеменных303Локальныесвойстванепрерывныхфункцийи вектор-функций.354Глобальныесвойствафункцийивектор-функций393ДИФФЕРЕНЦИРУЕМЫЕФУНКЦИИИВЕКТОР-ФУНКЦИИ441Необходимыеусловиядиффеpенциpуемостифунк-цийивектоp-функцийвточке..442Локальныесвойствадиффеpенциpуемыхфунк-цийивектоp-функций.483Достаточныеусловиядиффеpенциpуемостифунк-цийивектоp-функций.524Высшиепpоизводныеидиффеpенциалы..545ФоpмулаТейлоpа6051КОНЕЧНОМЕРНОЕПРОСТРАНСТВОАонаотвеpнулась,вздеpнувносик,иТомуслышал:—Пф!Некотоpыетолькоиделают,чтоломаются;думают,чтоэтокому-нибудьинтеpесно!МаpкТвен.ПpиключенияТомаСойеpа1ОпpеделениеиметpическаястpуктуpамножестваRnЛюбаяматематическаятеоpияизучаетобъектыдвухвидов—множестваиотобpажения.Сpедивсехмножествданнойте-оpиипpинятовыделятьнекотоpоеунивеpсальноемножество,называемоеунивеpсумом.Основноесвойствоунивеpсумаза-ключаетсявтом,чтовсеостальныемножестваявляютсяегоподмножествами.Унивеpсумомконечномеpногоматематиче-скогоанализаслужитn-меpноекооpдинатноепpостpанство.Определение1.1Множествовсевозможныхупоpядоченныхнабоpов(x1,x2,,xn),состоящихизnдействительныхчиселxi∈R,i=1,2,,n,будемназыватьn-меpнымкооpдинат-нымпpостpанствомRn.Дpугимисловами,множествоRn—декаpтовопpоизведениеnэкземпляpовмножестваR:Rn=R×R××R|{z}nсомножителей.ПpостымипpимеpамимножестваRnявляютсяплоскость(пpиn=2)ипpостpанство(пpиn=3)с
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世界TOP绘本01 Tikki Tikki Tembo by Arlene Mosel, ill. Blair Lent (1968).pdf
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Magic Tree House: Buffalo Before BreakfastName_______________________________________ Date_______________©2006abcteach.com VOCABULARY MATCHING Match the vocabulary words to their definitions. prairie tribe buckskin quiver manners tepee moccasin stampede graze courage sacred chant a shoe made of soft leather a case for holding or carrying arrowsa collection of families a cone-shaped tentto celebrate in songa rushing group of scared animals a tract of grassland to feed on growing grass the socially correct way of acting clothing made from deer hide devoted to a religious purpose facing pain or danger without being scared Magic Tree House: Buffalo Before BreakfastName_______________________________________ Date_______________©2006abcteach.com TRUE OR FALSE?Mark each sentence T for TRUE or F for FALSE. 1. ___ The Lakota tribe has also been called the Sioux.2. ___ Before the 20th century, the Great Plains covered nearly a fifth of Americas land. 3. ___ The Great Plains is in the Southern United States. 4. ___ The Lakota were one of the smallest tribes on the Great Plains. 5. ___ Holding up two fingers means friend. 6. ___ In the 1800s, there were 40 million bison on the Great Plains. 7. ___ The Lakota owned their land. 8. ___ In the mid-1800s, fighting broke out between the Lakota and the Sioux.Magic Tree House: Buffalo Before BreakfastName_______________________________________ Date_______________©2006abcteach.com WRITING PROMPTS1. If you could hunt for buffalo, would you want to? Why or why not? ________________________________________________________ ________________________________________________________ ________________________________________________________ 2. Do you think that Teddy had something to do with the White Buffalo Woman? Explain your opinion. ________________________________________________________ ________________________________________________________ ____________________________________________
上传时间:2023-07-08 页数:5
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(英语早教亲子阅读)10.(一段)IN A DARK DARK HOUSE.pdf
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英语绘本03 Henry and Mudge The First Book.pdf
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英语绘本05 Henry and Mudge in the Sparkle Days.pdf
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英语绘本07 Hanry and Mudge Take the Big Test .pdf
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Module10 Unit 1 Are you going to Hong Kong?同步练习一、看图,写单词。1. ___________2.______________ 3. __________________ 4._________________ 二、翻译下列短语。1. swim in the sea 2. play basketball 3. ride a bike 4. read a book5. 飞机场 6. 大海 三、单项选择。1. - What are you going to do?- Im going to ____.A. watch TVB. the airport C. a nurse2. Im going to ____in the sea.A. swimming B. swim C. sleep3. ____ are you going?A. WhereB. WhatC. How4 - ____ are you going?- Im going to Hong Kong.A. Where B. What C. When5. I ____ going to play basketball.A. areB. isC. am6. - ____ are you going to do?- Im going to watch TV.A. Where B. What C. When四、翻译下列句子。1. What are you going to do?2. Im going to swim in the sea.3. Are you going to Hainan?4. Are you going to the airport ?5. Where are you going?6. I am going to Hainan. 答案:一、看图,写单词。1.airport 2.sea 3.read a book 4.ride a bike 二、翻译下列短语。1.在海里游泳 2.打篮球 3.骑自行车 4.读书 5.airport 6.sea 三、单项选择。1-6: ABBACB四、翻译下列句子。1.你打算成为什么?2.我打算在海里游泳。3.你打算去海南吗?4.你打算去机场吗?5.你打算那去哪啊?6.我打算去海南。
上传时间:2023-05-27 页数:3
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� 祝亲们在每一次亲子阅读中,都能感受到更多的爱与美!!! 敬请关注我们的淘宝店铺�旺旺:左手邊右手变 QQ:164656940 � 早教育儿之家:http://shop64922747.taobao.com/期待您的再次光临!!!有空常来哦!!! �
上传时间:2024-01-28 页数:20
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(二段名家绘本)Daddy Makes the Best Spaghetti.pdf
上传时间:2024-01-28 页数:33
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This is George.George was a good little monkey and always very curious. One morning the man with the yellow hat woke George early. Time to get up, George,he said. The pancake breakfast is today.George loved the pancake breakfast. It was a fundraiser held every year to make money for special programs at the childrens hospital.Besides eating pancakes, there were all kinds of games to play. Even the mayor came to play and eat, but first he gave a welcome speech.."Thank you all for coming," the mayor said. "We appreciate your generous support." He thanked all the volunteers who were helping that day and finally he said, "Please enjoy yourselves…and the pancakes." When the mayor finished, the man with the yellow hat said, George, I'm going to buy our tickets. Please wait here and don't be too curious."George waited like a good little monkey, but --mmm! --something smelled good!Could it be the pancakes?George was curious.He followed the delicious smell and found a whole griddle full of pancakes.George watched as a man poured little batter circles and flipped them up in the air.It looked like fun to make pancakes!George wanted to help.On a table near the griddle was a basket full of blueberries.These pancakes need blueberries, George thought. And he sprinkled some on top.Meanwhile, the man at the griddle was so busy he didn't notice the littlemonkey helping him. But the line grew and grew…George's pancakes were a hit! Soon everyone wanted them and the man could not keep up. "Please wait," he said to someone holding an empty plate. "I need to find an assistant to help me." And just like that, he was gone. George looked at the people waiting in line and then at the empty griddle.Why, he could make pancakes. He could be the assistant!George poured the batter into nice round circles.The he flipped them over. And last, he added syrup.He waited a minute to let the pancakes cook.Next he added blueberries.The line for pancakes was enormous. But with four hands, Ge
上传时间:2024-01-28 页数:25
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Module 8 Unit 1 This is Sam's book.同步练习一、看图连线。1. This is my book. 2. That is his pen. 3. This is Linglings toy horse.4.This is Sams school.二、根据提示完成下列句子,每空一词。1. ____ (那个) is my book.2. They are ____ ____ ____(不是我的笔) .3. You cant ____(带) toys to school.4. Be ____ (小心点), Sam!三、翻译下列句子。1.That is my black pen._______________________________________________2.They are not Linglings toys._______________________________________________ 3.This is not my book._______________________________________________4.Its the cats house now!_______________________________________________ 5.Ive got a headache._______________________________________________ 四、单项选择。1. This is ____ book.A. my B. me C. I2. They ____ not Linglings balls.A. are B. isC. am3. You cant ____ toys to school.A. brings B. bring C. Bringing4. Is this ____ cake?A. TomB. Toms C. you 5. This is ____ football.A. heB. himC. his答案:一、看图连线。1-4:BDAC二、根据提示完成下列句子,每空一词。1.That 2.not my pens 3.take 4.careful三、翻译下列句子。1.这是我的黑色钢笔。2.他们不是玲玲的玩具。3.这不是我的书。4.这现在是猫的房子了。5.我得了头痛。四、单项选择。1-5:ABBBC
上传时间:2023-05-27 页数:2
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This is George.He was a good little monkey and always very curious.This morning, George and the man with the yellow hatwere at the train station.They were taking a trip to the country with their friend,Mrs. Needleman.But first they had to get tickets.Inside the station everyone was in a hurry.People rushed to buy newspapers to read and treats to eat.Then they rushed to catch their trains.But one little boy with a brand new toy engine was not in a hurry.Nor was the small crowd next to him.They were just standing in one spot looking up. George looked up, too.A trainmaster was moving numbers and letters on a big sign.Soon the trainmaster was called away.But his job did not look finished.George was curious. Could he help?Then, just like the trainmaster, he picked a letter off the sign and put it in a different place.George climbed up in a flash.Next he took the number 9 and put it near a 2.George moved more letters and more numbers. He was glad to be such a big help."Hey," yelled a man from below. "I can't tell when my train leaves!""What track is my train on," asked another man."What's that monkey doing up there," demanded a woman. She did not sound happy.The trainmaster did not sound happy either: "Come down from there right now," he hollered at George.Poor George.It's too easy for a monkey to get into trouble. But, lucky for George, it's also easy for a monkey to get out of trouble.Right then the conductor shouted, "All aboard!"A crowd of people rushed toward the train. George simply slid down a pole,scurried over a suitcase, and squeezed with the crowd through the gate.There he found the perfect hiding place for a monkey.The little boy with the toy engine also ran through the gate."Look, Daddy," he said, "a train!"His father looked up. "Come back, son," he yelled. "That's not our train!"But it was too late.The gate locked behind him.The boy began to cry.George peeked out of his hiding place.He saw the boy's toy roll toward the tracks.The boy ran
上传时间:2024-01-28 页数:25
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