2013美赛ABC试题及翻译

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2013年美赛MCM题目A评委点评中文翻译

2013年美赛MCM题目A评委点评中文翻译

介绍今年的焦点问题是如何实现质量和数量的平衡。

在质量方面,尽可能使热量均匀地分布。

目标是降低或避免矩形烤盘四个边角发生热量聚集的情况。

所以解决热量均匀分布这方面的问题,使用圆形烤盘是最佳的选择。

在数量方面,应该使烤盘充分的占据烤箱的空间。

所以我们的目的是使用尽可能多的烤盘来充分占据烤箱的空间,此时矩形烤盘是最佳选择。

对于这方面的问题的解决,就要考虑烤盘在烤箱水平截面上所占的比率。

在这个评论中,我们首先描述判断步骤,然后再讨论队伍对于三个问题的求解。

下一个话题就是论文的灵敏度和假设,紧随其后讨论确定一个给定方法的优势和劣势。

最后,我们简短的讨论一下参考和引用之间的区别。

过程第一轮的判别被称为“分流轮”。

这些初始轮的主要思想是确定论文应被给予更详细的考虑。

每篇论文应该至少阅读两次。

在阅读一篇论文的时候,评审的主要问题是论文是否包含所有必要的成分,使它成为一个候选人最详细的阅读。

在这些初始轮中,评审的时间是有限制的,所以我们要尽量让每一篇论文得到一个好的评判。

如果一篇论文解决了所有的问题,就会让评审觉得你的模型建立是合理的。

然后评审可能会认为你的论文是值得注意的。

有些论文在初轮评审中可能会得到不太理想的评论。

特别值得注意的是,一篇好的摘要应该要对问题进行简要概述,另外,论文的概述和方法,队员之间应该互相讨论,并且具体的结果应该在某种程度上被阐述或者表达出来。

在早期的几轮中,一些小细节能够有突出的表现,包括目录,它更便于评委看论文,同时在看论文的时候可能会有更高的期待。

问题求解也很重要。

最后,方法和结果要清晰简明的表达是至关重要的。

另外,在每个部分的开始,应该对那个部分进行一个概述。

在竞赛中,建模的过程是很重要的,同时也包括结论的表达。

如果结果没有确切和充分的表达,那么再好的模型和再大努力也是没有用的。

最后的回合最后一轮阅读的第一轮开始于评委会会议。

在这个会议中,评委将进行讨论,他们会分享他们各自认为的问题的关键方面。

全国大学生英语竞赛2013真题C类及答案

全国大学生英语竞赛2013真题C类及答案

2013 National English Contest for College Students(Level C - Preliminary)(总分:150分答题时间:120分钟)Part I Listening Comprehension (30 marks)Section A (5 marks)In this section, you will hear five short conversations. Each conversation will be read only once. At the end of each conversation, there will be a twenty-second pause. During the pause, read the question and the three choices marked A, B and C, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the center.1.Why didn’t the man go to see Macbeth last week?A.He didn’t manage to get a ticket.B.He had to attend a conference.C.He had a better production to watch.2.What does ―Fill Me In‖ refer to in this conversation?A. A type of upgraded mobile phone.B. A well-selling magazine.C. A writer’s new book series.3.Why doesn’t the woman like the bag?A.She doesn’t like the pattern.B.It’s not easy to carry.C.It’s too big for her.4.What makes a bad CV according to the man?A.Fake information.B. Terrible writing.C. Undesirable length.5.How will Cathy continue her Spanish learning?A.She’s going to make a friend in Spain.B.She’ll communicate with a Spanish friend in Spain.C.She’ll practice speaking Spanish with an English friend.Section B (10 marks)In this section, you will hear two long conversation. Each conversation will be read only once. At the end of each conversation, there will be a one-minute pause. During the pause, read the question and the three choices marked A, B and C, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the center.Conversation One6.What traffic accident are the speakers talking about?A. A kid was knocked down by a car.B.Two cars crashed into a shop.C. A car ran into a wrong place.7.Why did the accident happen according the woman?A.There were many shops around.B.The crossing is in a wrong place.C.There was no crossing here.8.Which of the following is the suggestion they made?A.More traffic lights should be installed.B. A speed camera should be mounted.C.More policemen should patrol that area.9.Where, as the woman mentioned, has got improved traffic?A.Her own neighborhood.B.Her big brother’s neighborhood.C.Her parents’ neighborhood.10.How was the man punished for his traffic offence?A.He was fined 100 pounds with extra penalty points.B.He had to pay 150 pounds and got 6 penalty points.C.He finally paid 600 pounds without any penalty points.Conversation Two11.Why is the expert opposed to the view that memory aids make your memory worse?A.There is no evidence showing that memory aids are invalid.B.Human beings’ brain functions mainly through memory aids in an effective way.C.Memory aids encourage an organized approach which helps the brain functioneffectively.12.What is interview’s attitude towards the idea that visual image help the memoryA.It is hard to believe.B.It is nothing strange.C.It is obviously nonsense.13.Who developed the system of memory aids centuries ago?A.Inhabitants on an isolated island.B.The Ancient Greeks.C. A great psychologists.14.How does mapping out notes affect the brain?A.It is helpful in reflecting the way people link information in the brain.B.It prevents people from arranging things logically.C.It makes people’s brain f unction the opposite way.15.What tends to affect people’s ability to think clearly?A.Upbringing and innate differences.B.Worry and anxiety.C.Their aptitudes.Section C (5 marks)In this section, you will hear five short news items. After each item, which will be read only once, there will be a pause. During the pause, read the question and the three choices marked A, B andC, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the center.16.How can social media influence the presidential election in the USA according to thelatest research?A.It can help voters to choose their president.B.It can help to ensure the fairness of the elections.C.It can help to increase the number of voters.17.What honorary title has Yaya Toure been granted?A.The African Player of the Year.B.212 Star of the Confederation of African Football.C.The Ivory Coast star.18.Why did Reshma Saujani set up the organization ―Girls Who Code‖?A.To raise women’s status in the field of science.B.To improve girls’ aptitude and performance in STEM.C.To arouse girls’ interest in science and technology.19.Which tablet computer’s hardware inside is more powerful?A.The CNET Kum.B. The Google Nexus 7.C. The Apple iPad mini.20.What does the company announce that it can do for the United States?A.It can reduce the amount of plastic waste.B.It can help to recycle the plastic waste.C.It can increase the amount of exports.Section D (10 marks)In this section, you will hear a short passage. There are 10 missing words or phrases. Fill in the blanks with the exact words or phrases you hear. The passage will be read twice. Remember to write the answers on the answer sheet.If you (21) ____ smooth skin that glows with youth, the chances are that at some point you will have heard the exhortation to drink lots of water in order to (22) ____ those evil toxins and keep your skin healthy.The exact amount people suggest varies. US – based advice (23) ____ eight glasses a day, while in hotter climates people are advised to drink to more to (24) ____ higher rates of sweating. But regardless of the exact volume of water suggested, the principle behind the advice remains the same --- taking extra water on board will keep your skin hydrated. In other words, water acts like a moisturizer, but from the inside out.This is such a common idea you might be surprised at the (25) ____ to back up. You might expect there to be countless studies where people are (26) ____ two groups, one assigned to sip water all day, the other to drink a normal amount. Then the smoothness of the skin could be (27) ____ a month or so later to establish whether sipping more lead to smoother skin.In fact such studies are rare, partly because water can’t be patented, so it is hard to find anyone to fund such research when there will be no new (28) ____ or cosmetic to sell that could repay the costs. A review by the dermatologist Ronni Wolf at the Kaplan Medical Center in Israel found just one study looking at the effect of long-term water intake on the skin. But the resultswere (29) ____. After four weeks, the group who drank mineral water showed a decrease in skin density, which some believe suggests the skin is retaining more moisture, while those who drank tap water showed an increase in skin density. But regardless of the type of water they drank, it made no difference to their (30) ____ or to the smoothness of their skin.Part II Vocabulary and Structure (15 marks)There are 15 incomplete sentences in this section. For each blank there are four choices marked A, B, C and D. Choose the one that best completes the sentence. Then mark the corresponding letter on the answer sheet with a single line through the center.31. The new star said to the journalists that she _C___ the opportunity to show that she could playa serious film role.A. greetedB. rejoicedC. welcomedD. cheered32. We haven’t really __D__ a solution to the problem yet, which makes the boss really frustrated.A. built upB. fallen back onC. brought overD. come up with33. Personally, I am __C__ banning cigarette smoking completely, especially in public areas.A. in touch withB. apart fromC. in favor ofD. regardless of34. Until a firm agreement has been reached, I am not __C__ to accepting the offer.A. accustomedB. dedicatedC. committedD. entitled35. The government is making every effort to __B__ an economic crisis, but it seems nothing could help.A. eliminateB. avertC. impedeD. swerve36. __B__ a serious crime, what exactly should you do?A. Unless you witnessB. If you were to witnessC. If only you witnessD. since you witness37. During examinations candidates are always supposed to stay in seats, keep their eyes on the work, _A___ to anyone.A. and not speakB. but could not speakC. rather than speakD. instead of speaking38. Realizing that he hadn’t got enough money and _D___ to borrow any from his parents, he decided to sell his house.A. wanted notB. not to wantC. wanting notD. not wanting39. There’s no point waiting here any longer. We _C___ go and have something to eat.A. can hardlyB. are bound toC. might as wellD. will have to40. While many people may refer to up-to-minute news, it is unlikely that television and the Internet _A___ the newspapers completely.A. will replaceB. replaceC. are replacingD. have replaced41. She married a very nice young architect from Belfast, _A___ she met on a bus during her journey to Northern Ireland.A. whoB. whenC. whichD. where42. It is a kind of illness that can result in total blindness if __D__A. to leave untreatedB. is left untreatedC. leaving untreatedD. left untreated43. ----I’m so disappointed with my son! He just wouldn’t practice the piano!----Take it easy. You can lead ___B_ to water, but you can’t make it drink.A. a duckB. a horseC. a cowD. a dog44. ----Good morning, Madam! I’d like some information about the course.----Certainly. _B___A.I’m afraid I don’t know more than you either.B.Is there anything I can do for you?C.What exactly would you like to know?D.How much information did you know?45. ---- How do you feel about countries that don’t try to reduce global warming?---- __A__, those countries care more about money than saving the planet.A.As far as I’m concernedB. It’s none of our businessC. We’re not to blameD. Things are under controlPart III Cloze (10 marks)Read the following passage and fill in each blank with one word. Choose the correct word in one of the following three ways: according to the context, by using the correct form of the given word, or by using the given letters of the word. Remember to write the answers on the answer sheet.According to recent surveys, 72% of all Americans believe that the United States government is (46) hiding____ information about UFOs. Almost 68% of people think that the government has secret knowledge of extraterrestrial life. It is not (47) _surprising__ (surprise) that the government has come under more and more (48) pressure____ to declassify its UFO records and make them public. A variety of different groups have been involved in these efforts.One group to become involved is called CFI, the Coalition for Freedom of Information, John Podesta, who was White House Chief of Staff duri ng Bill Clinton’s (49)presidency____(president), is one of the many high-powered people active in this group. CFI’s aim is not to prove the (50) _existence___(exist) of extraterrestrial life, but to make it easier for scientists in general to study unexplained aerial phenomena. Podesta and his group has asked the Pentagon to declassify its UFO records and therefore provide scientists (51) with____ data that will help in the study of UFOs.CFI has requested the release of information on several UFO cases, starting with the Kecksburg, Pennsylvania, incident. This incident took (52) __place__ in 1965 when a large acorn-shaped object, the size of a small car, crashed in Pennsylvania. Some analysts say it could have been the spacecraft Kosmos 96 that had been launched towards Venus by the Soviet Union, but failed to escape Earth’s (53) g ravity____. Others say the object did not look anything like spacecraft built on Earth in 1965.(54) Additionally___, the people of Kecksburg want to know what happened. On that (55) afternoon____, hundreds of eyewitnesses watched a fiery streak of light descend from the sky towards Earth. Officials explained that nothing was found or recovered and that maybe the fireball in the sky was a meteor. But many witnesses say they saw a number of military personnel from the Army and the Air Force search the woods, and later that evening, saw a large militarytractor-trailer coming from the area carrying a large object under a tarp.Part IV Reading Comprehension (40 marks)Read the following passage. Each passage is followed by several questions. Respond to the questions using information from the passage. Remember to write the answers on the answer sheet.Section A (10 marks)Questions 56-60 are based on the following passage.The average automatic teller machine (ATM) is not very smart. It will give money to anyone who has the right card and punches four or five keys in the right order. Some analysts estimate that as many as 30% of ATM transaction worldwide are cases of theft. To increase security at cash machines, some banks have tried to make their ATMs a little smarter. A small camera on the machine looks directly into the eye of every customer. It scans one iris and compares the tiny patterns of ridges, dots, and other features to a code in its computer. If there is a match, the ATM will start counting out cash. If not, a message is automatically sent to the nearest police station.Iris-scanning is one fast-growing form of biometric identification --- determining who someone is by examining features the body. One of the earliest biometric techniques was fingerprinting. The line on fingerprints are unique to each person, so not even identical twins have the same fingerprints. Fingerprinting has become famous as a way of finding out who committed a crime, but it very often fails. A careful criminal can swear gloves, avoid touching thing, or even alter his fingerprints by burning, cutting, or scraping them. In the search for a more reliable system, security experts have focused on the eye.Like a fingerprint, every iris is, for all practical purposes, unique. Each person’s right iris is even different from his or her left one. A low-cost digital camera, like the kind installed at ATM machines, can easily detect hundreds of different features in the iris. The chance of two irises having the same features is close to zero. Tests have shown that iris-scanners are very hard to fool. They can tell the difference between a real iris and a false one. They can see right through colored contact lenses, eyeglasses, and even mirrored sunglasses. Although many criminal are willing to burn or cut their fingers in pursuit of the perfect crime, few would be willing or able to alter their irises.T o make iris-scanning work, a computerized database has to match certain iris features with certain people. This means that each A TM customer has to allow a bank to photograph his or her iris and keep that highly personal information in a computer. Some people have worried, however, that an increased use of iris-scanning will lead to a dangerous loss of privacy. By mountingiris-scan cameras in public places, governments could track a private citizen all day long without the person’s knowledge. This would be a great advantage to the police, but it could also giv e corrupt officials a new way to control their opponents. The military’s development of tiny robots suggests that government iris-scanners could even invade private homes!Questions 56-60Complete the summary with words from the passage, changing the form where necessary, with only one word for each blank.Section B (10 marks)Questions 61-65 are based on the following passage.Seed catalogues feature hundreds of flowering species. For the persons just beginning garden this can be bewildering, and below are the details of some popular choices, nearly all of which should be sown in the spring. With the exception of busy lizzies, which need a little care, they are all very easy to grow from seed.DahliasThese are sturdy plants bearing showy flowers in a wide range of rather gaudy colors. Sow in a frame in April and plant the seedlings out when frosts are over. Dahlias flower throughout the summer and into the autumn. When autumn frosts begin to make them look unhappy, you should dig up the tuberous roots and save them. A frost-free loft, shed or garage is the ideal place. The following spring you plant the tubers instead of sowing seed again.LupinsLupins are hardy perennials. This means that the plants will stay in your garden and carry on flowering year after year. Seed sown in April will usually give you some spikes of colors in the first summer, and year by year the plants get bigger and the flowering stems get taller and grander. Selective breeding has led to the introduction of some fine, bicolored varieties in some dazzling shades. The short-lived flowers make a real misunderstanding spectacle.Busy lizziesLike dahlias, busy lizzies need to be started offunder glass, as they cannot stand frost, and pantingout is best done in May. Outdoor flowering ends inSeptember, so beat the frosts and bring your favoritespecimens indoors to give your home some sintercolor! Indoors they will carry on floweringindefinitely, though you may like to plant them outagain when spring returns. Like pansies (below) they do very well in sun or shade, but the soil must be moist. Most varieties grow to be a height of only 20 cm or so.PotentillasPotentillas are hardy shrubs. In other words, the woody branches spring from groundlevel —there is no central trunk. Seed is probably best sown in autumn, in which case you should keep the plants in a sheltered spot until April offers favorable conditions for planting out. Once flowering begins in early summer the best varieties (such as Melton Fire) will stay in bloomATM transactions are often cases of theft, where an unauthorized user takes (56) __money_. To decrease insecurity, some banks have installed iris-scanning machines at ATMs. These small cameras scan t he user’s iris, recording its features and (57) _comping___ them to a digital file. Every person has a (58) _ unique ___ iris, making iris identification highly reliable. Earlier efforts at biometric identification often relied on fingerprints. However, fingerprints can easily be (59) altered____ through cutting, burning or scrapping. Iris scanners are so effective that they can even see through contact lenses and mirrored sunglasses. Use of iris scanners would provide great advantages to the police. However,others worry about a loss of (60) ____.almost ceaselessly for years on end while at the same time spreading out to provide ground cover or a low hedge.PansiesPansies have a good long flowering season year after year, and some varieties can be sown in spring to give truly splendid results the first autumn. Unlike dahlias and lupins, which can easily grow a meter tall, pansies grow no higher than 10 or 20 cm. Their soil, position and moisture requirements are just like those of busy lizzies but pansies differ in being hardy. Give them a try!Questions 61-63Decide whether the following statements are true (T) or false (F) according to the passage.61. Both dahlias and lupins, which are sown in April, need protecting from frost.62. Brought indoors in autumn, dahlias, busy lizzies and potentillas will carry on flowering almost non-stop.63. Among all the flowers busy lizzies are not very easy to grow from seed.Section C (10 marks)Questions 66-70 are based on the following passage.When looking for love, people may go to some extreme lengths. They might go on blind dates set up by family and friends. They might write personal ads to place in newspapers. Or they might use a computer to help them in their search for a soul mate by joining an online dating services. Some people have even tried to find their perfect match through game shows on television. Many of these TV dating shows, including The Bachelor and Who Wants to Marry a Millionaire? have proved to be ratings blockbusters, with millions of viewers watching each week to find out which of the contestants will find true love.Of all these game shows, perhaps the one with the most unexpected ending was Mr. Right, which was shown in England in 2002. On the show, a bachelor, thirty-five-year-old Lance Gerrard-Wright, dated fifteen women to find the one who was his ideal partner. The host of the show was Ulrika Johnson, an English celerity originally from Sweden. For seven weeks on the show, Gerrard-Wright took turns going on dates with each of the women, taking them to expensive restaurants and exotic locations. He even met the women’s families and introduced them to his own. Then at the end of each episode, he would choose between one and three of the contestants with whom he had felt the least compatible, and say goodbye to them.At one point during the series, one contestant volunteered to leave because she said she didn’t find him attractive. After two dates she said she had had enough, and she couldn’t see it working. ―He wasn’t my cup of tea.‖ In another episode the woman he was on a date with burst into tears when he called her by another contestant’s name. ―You called me by another girl’s name. I can’t bel ieve you did that. I really liked you,‖ she sobbed.But in the final episode, the woman he eventually chose decided she didn’t want to marry him after all. ―I think you’ve chosen me because you have to choose someone,‖ she said. Maybe this was because she already knew he had fallen in love---with the show’s host!After leaving the show, Gerrard-Wright and Johnson were seen dining together and attending parties around London more and more often. Finally, on May 1, 2003, Gerrard-Wright proposed to Johnson o n the steps of St. Paul’s Cathedral. And she accepted his proposal right away, although it was a conditional acceptance. Johnson has two children from previous relationships—aneight-year-old son, Cameron, and a two-year-old daughter, Bo. She had to make sure that they agreed to the marriage. Luckily, they did. Gerrard-Wright said, ―In the end the show did work for me. I grabbed an opportunity to get a girlfriend and I did. Ulrika’s gorgeous.‖Questions 66-68Complete the following sentences with information given in the passage in a maximum of 2 words for each blank.66. Lance Gerrard-Wright went to ____ to go on the show Mr. Right in order to find his perfect match.67. On the show, Lance had the opportunity to date many gorgeous women among whom there might be one that he was almost ____.68. Ulrika accepted Lance’s proposal ____ that her children agreed to their marriage as well. Questions 69-70Choose the best answer according to the passage.69. Which of the following did NOT happen on the show?A. Lance went on dates with several women.B. The candidates went to some very good restaurants.C. Ulrika consulted her parents before she made her decision.D. The women met Lance’s family.70. What happened after seven weeks of doing the show?A. All of the women found their beloved.B. Lance started to date with the show’s host.C. One of the women on the show couldn’t help crying.D. Ulrika asked Lance to marry her.Section D (10 marks)Questions 71-75 are based on the following passage.Alaska is disappearing slowly but surely. Since the 1950s, it is estimated that as much as 15 percent of Alaska’s area has disappeared. But how can a whole state be disappearing?One reason for Alaska’s gradual disappearance is the melting its glaciers. According t o one geologist at the US Geological Survey, about 98 percent of Alaska’s glaciers are either unmoving or diminishing. This diminishing seems mainly due to the increase in global temperatures. Since the 1960s, the average year-round temperature has increased by 5℉. Furthermore, the average winter temperature has increased by 8℉. Presently, an estimated 24 cubic miles of ice is disappearing from Alaskan glaciers every year. It may be even more in the near future, as some scientists predict that the average world temperature could go up 2.5 to 10℉by the year 2010.Another problem contributing to Alaska’s gradual disappearance is its permafrost. (74) Much of the land in Alaska was permanently frozen, or frozen for most of the year, thus maintaining its integrity. Now, the thawing permafrost is causing a number of problems on land. Roads and utility poles are collapsing. Also, the hard permafrost which originally prevented beaches from eroding during violent storms is now melting. Affected villages are forced to relocate. For villages on small low islands, one terrible storm could wipe out the entire community.The melting permafrost and increasing temperature are also having a negative impact on the forests of Alaska. As the permafrost under the forests melts, in sects that normally don’t turn upuntil the warmer seasons are appearing sooner. The spruce-bark beetle, for example, is increasing in numbers as a result of global warming. It usually takes about two years for these beetles to grow and reproduce in a very cold weather. However, due to the increase in temperatures, spruce-bark beetles are damaging as many trees in one year as they previously damaged in two. At this rate, Alaska’s forest won’t survive the turn of the century.Some scientists believe that human activity is linked to a global increase in weather temperature. Whether the rising temperature are caused by human activity or natural changes, the fact remains that Alaska is warming. Some others argue that global warming may be a normal trend on the Earth’s temperature chart. (75) One theory argues that we are near the end of aso-called ―Little Ice Age‖, and the return of the glaciers is natural result of this cycle. Whether natural or produced by humans, there is little hope for the immediate future of glaciers as we know them. Horribly, this could be a preview of what will happen to the rest of the world in the next century.Questions 71-73Answer the following questions briefly according to the passage.71. What are disappearing in Alaska actually?72. How much ice is melting each year according to the survey?73. Why do insects damage more trees than before?Questions 74-75Translate the underlined sentences in the passage into Chinese.74. Much of the land in Alaska was permanently frozen, or frozen for most of the year, thus maintaining its integrity75. One theory argues that we are near the end of a so-called ―Little Ice Age‖, and the return of the glaciers is natural result of this cycle. Whether natural or produced by humans, there is little hope for the immediate future of glaciers as we know them.Part V Translation (10 marks)Translate the following sentences into English, using the hints given in brackets. Remember to write the answers on the answer sheet.76. 宴会时间就要到了,但她仍纠结于是否应该去。

2013 美国数学建模竞赛题目中文 MCM

2013 美国数学建模竞赛题目中文 MCM

2013 竞赛题目
MCM
问题A:
当在矩形平底锅上烘烤食物时,热量集中在四个角,因此食物在四个角上容易烤焦(边上焦的程度较轻一点)。

在圆形平底锅内烘烤时,热量均与地分布于整个外部边缘,食物的边缘部分不会烤焦。

然而,由于大部分烤炉形状为矩形,就利用烤炉中的空间而言,使用圆形平底锅并不是最有效率的做法。

开发一个模型来展现平底锅外边缘热量分布,该平底锅的形状可为矩形或圆形,也可能是其它形状。

假设
1.矩形烤炉长宽比W/L
2.每个平底锅面积为A
3.初始烤炉中的两个架子在空间上平均分布。

开发一模型可用于在下列条件下挑选最佳类型的平底锅(形状):
1.最大限度提高放入烤炉中的平底锅数量(N)
2.最大限度均匀分布在平底锅上的热量分布(H)
3.最优组合条件(1)和(2),其中指定权值p和(1-p)来解释这些结果如何随W/L和p 的不同值变动。

除了MCM格式化的解决方案,为新的《布朗尼美食家杂志》准备一至两页的广告,表达你的思路。

问题B:水,水,到处都是水
新鲜的水对于世界各地的发展是一个限制性因素。

建立一个数学模型用于决定一个有效、可行且成本效益最大的2013水战略来应对投射出来的2025年水需求[从下列国家中挑选一个国家],并确认最佳水资源战略。

尤其要注意的是,你的模型必须强调存储量和水的运动;去盐渍及保水。

如果可能的话,使用你的模型来讨论你拟定战略的经济、物理和环境影响。

向政府官员提供一个非技术性意见书,阐述你的方法、可行性和成本,以及你的战略之所以为“最佳水资源战略选择”的原因。

国家:美国,中国,俄国,埃及或沙特阿拉伯。

2013年美赛A中文翻译(标准版)

2013年美赛A中文翻译(标准版)

问题A:终极布朗妮平锅当用长方形平底锅炒菜时,热集中于四个角,因此四个角的食物就炒糊了(四个边上的食物炒糊的程度略微轻一点)。

用圆形平底锅时,热会均匀地分布在整个外部边缘,因此锅边的食物就不会炒得太过。

然而,大多数炉子在形状上都是长方形的,那么考虑到炉子的空间使用,用圆形平底锅就不是很经济。

建立一个模型来说明热在不同形状的平底锅外部边缘的分布——长方形平底锅,圆形平底锅或介于两都者之间的其他形状的平底锅。

假设:1.长方形炉子的宽长比为W/L。

2.每个平底锅必须有一个面积A。

3.最初的时候,炉子里两个层架的空间是均匀的。

建立一个模型,基于以下条件,用以选择最好的平底锅(形状):1.使适合炉子的平底锅的数量最大化(N)。

2.使平底锅上热(H)的平均分布最大化。

3.优化条件(1)和(2)的组合,条件(1)和(2)的权重P和(1-P)是用来表示结果是如何随着W/L和p的取值变化而变化的。

除了根据MCM格式要求的解决方案外,你还需为新一期的“布朗妮美食杂志”准备一到两页的广告页来突出你的设计和结果。

Hewlett-PackardHP LaserJet 1018PROBLEM A: The Ultimate Brownie PanWhen baking in a rectangular pan heat is concentrated in the 4 corners and the product gets overcooked at the corners (and to a lesser extent at the edges). In a round pan the heat is distributed evenly over the entire outer edge and the product is not overcooked at the edges. However, since most ovens are rectangular in shape using round pans is not efficient with respect to using the space in an oven.Develop a model to show the distribution of heat across the outer edge of a pan for pans of different shapes - rectangular to circular and other shapes in between.Assume1. A width to length ratio of W/L for the oven which is rectangular in shape.2. Each pan must have an area of A.3. Initially two racks in the oven, evenly spaced.Develop a model that can be used to select the best type of pan (shape) under the following conditions:1. Maximize number of pans that can fit in the oven (N)2. Maximize even distribution of heat (H) for the pan3. Optimize a combination of conditions (1) and (2) where weights p and (1- p) are assigned to illustrate how the results vary with different values of W/L and p.In addition to your MCM formatted solution, prepare a one to two page advertising sheet for the new Brownie Gourmet Magazine highlighting your design and results.。

2013年全国大学生英语竞赛决赛C类

2013年全国大学生英语竞赛决赛C类

2013 NationalEnglish ContestforCollegeStudents(LevelC - Final)参考答案及作文评分标准PartIListening Com prehension (30 marks)Section A (5 marks)1—5 ACBBCSection B (10 marks)6—10 CCABA11—15 BCBCASection C (5 marks)16—20 ACBACSection D (10 marks)21.prescription22.drugaddiction23.lenientapproach24.distinguished between25.arelicensed to 26.singletransaction27.Proponents28.legitimate29.campaigns30.therebyPartIIVocabulary and Structure(15 marks)31—35 DBBCB36—40 CABAD41—45 ABACAPartIIICloze(10 marks)46.height47.both48.surprising49.mistakenly50.through51.hungry52.scientific53.Sleepiness54.connection55.evilPartIV Reading Com prehension (40 marks)Section A (10 marks)56.risks57.innocentrmation59.gang60.requestingSection B (10 marks)61.F62.T63.F64.Itprovidesstudentswith an onlinelearningenvironment.65.Theyreceivetheindividualsupportandadvicetheyneedtosucceed in theirstudy.Section C (10 marks)66.enduring 67.starved68.moredramatically69.D70.CSection D (10 marks)71.BecausetheEgyptiansworshipedcatsasholyanimalsandtherewerelawsprotectingthem.72.TheDarkAgesin Europe.1--73.About10 percent.74.猫惯有“巫师的助手”之称。

2013美国赛 MCM-ICM 英语原文+翻译

2013美国赛 MCM-ICM 英语原文+翻译

2013 MCM ProblemsPROBLEM A: The Ultimate Brownie PanWhen baking in a rectangular(矩形的)pan heat is concentrated(集中)in the 4 corners and the product gets overcooked(焙烧过度)at the corners (and to a lesser extent(较小程度上) at the edges). In a round(圆)pan the heat is distributed evenly(均匀的)over the entire outer edge and the product is not overcooked at the edges. However, since most ovens(烤箱)are rectangular in shape using round pans is not efficient(高效)with respect to(关于)using the space in an oven. Develop a model to show the distribution(分布规律)of heat across the outer edge of a pan for pans of different shapes - rectangular to circular(圆形)and other shapes in between.Assume1. A width to length ratio(···比)of W/L for the oven which is rectangular in shape.2. Each pan must have an area of A.3. Initially two racks in the oven, evenly spaced(均匀分布).Develop a model that can be used to select the best type of pan (shape) under the following conditions(条件):1. Maximize number of pans(平底锅)that can fit in the oven (N)2. Maximize even distribution (均匀分布)of heat (H) for the pan3. Optimize(最优化)a combination of (···的综合)conditions (1) and (2) where weights p and (1- p) are assigned to(被分配···)illustrate(阐明)how the results vary with different values of W/L and p.In addition to your MCM formatted solution, prepare a one to two page advertising sheet for the new Brownie Gourmet Magazine highlighting(使··突显出来)your design and results.在矩形烤盘烘焙的时候,热量会被集中到4个角,食物会被烘焙过度(热量较小程度上在边缘)。

2013美赛题目中文翻译

2013美赛题目中文翻译

A当在一个方形平底锅烘烤时,由于热量集中在四个角上,在角上的(和在伸展度小的边缘)食物就会过度烹饪,圆形平底锅热量平均分配在整个外缘,在边上的食物不会过度烹饪。

然而,由于大部分烤箱都是方形,考虑到烤箱空间的使用,圆形锅不会有效的利用烤箱的空间。

Develop a model to show the distribution of heat across the outer edge of a pan for pans of different shapes - rectangular to circular and other shapes in between.目的:建立一个模型对于不同形状锅的边缘的热量分布,方形到圆形或他们中任一形状。

Assume1. A width to length ratio of W/L for the oven which is rectangular in shape.2. Each pan must have an area of A.3. Initially two racks in the oven, evenly spaced. 假设方形烤箱的宽长比是W/L每个锅都有一个A型区域首先,烤箱有两个烤架,并且均匀分布。

Develop a model that can be used to select the best type of pan (shape) under the following conditions:1. Maximize number of pans that can fit in the oven (N)2. Maximize even distribution of heat (H) for the pan 3. Optimize a combination of conditions (1) and (2) where weights p and (1- p) are assigned to illustrate how the results vary with different values of W/L and p.在如下条件下建立一个模型,用来选择在形状上最好类型的锅。

2013 全国大学生英语竞赛B类 真题答案

2013 全国大学生英语竞赛B类 真题答案

2013 National English Contestfor College Students(Level B - Preliminary)参考答案及评分标准Part I. Listening Comprehension(30 points)1—5CBCBA 6—10 AABBC 11—15 BACAB 16—20 BABAC21. a dictation 22. keep pace. 23. An active listener 24. the topic 25. heading26. paraphrasing 27. summarising 28. rewrite 29. thoughts and comments 30. useful study aid Part II援Multiple Choice (15 points)Section A (10 points)31—35 ACBBC 36—40 DACBASection B (5 points)41—45 ABCBDPart III援Cloze (10 points)46. popular 47. adopted 48. available 49. longer 50. nervous51. space 52. sufficiently 53. but 54. affectionate 55. retiredPart IV. Reading Comprehension (40 points)Section A (10 points)56. D 57. C58. ordering a hamburger 59. ignorant and inexperienced 60. primary source materialsSection B (10 points)61. For sport or because it蒺s part of a traditional culture.62. Stuff and mount the dead animals.63. Overpopulation of certain species.64. Outbreaks of fowl cholera.65. They kill a limited number of bowheads a year.Section C (10 points)66. a smaller firm 67. promotion prospects 68. morale69. his/her life miserable 70. got on withSection D (10 points)71. N 72. Y 73. Y74. 在我们的竞争对手感到拮据的时候出现这种情况,让人感到非常振奋。

2013年数学建模美赛题目中文翻译_共4页

2013年数学建模美赛题目中文翻译_共4页

Problem c:背景:社会正致力于运用和开发模型来预测地球的生物和环境情况。

很多科学研究总结了逐渐增长的地球环境和生物系统压力,但很少有人用全球范围的模型来检测这些观点。

联合国发表的千年生态系统评估综合报告发现:近三分之二的地球生命支持生态系统——包括净水,洁净的空气,稳定的气候——正在因非可持续性使用而逐渐衰减。

其中大部分破坏归咎于人类行为。

暴增的对于食物,淡水,燃料,木材的需求导致了剧烈的环境变化;从森林砍伐到空气,土壤和水污染。

尽管已存在大量关于局部习惯和地区因素的研究,目前的模型还不能告知决定人他们的局部策略是如何影响整个地球的健康的。

许多模型忽略了复杂的全球因素,这些模型无法判断重大政策的长期影响。

尽管科学家们意识到巨大环境和生物系统中存在的复杂关系和交叉作用,当前的模型通常忽略这些管理或限定了系统间的影响。

系统的复杂性体现在多元交互(多个元素的相关性),反馈,突发行为,即将发生的状态变化或触发点。

最近的自然杂志中一篇由22位国际知名科学家撰写的题为“迫近地球生物圈的状态变化”的文章讨论了许多有关科学模型对于预测行星健康系统潜在状态变化的重要性与必需性。

文章提供了两种具体定性的模型,并寻求更好的预测模型:1)通过在全球模型中加入相关系统的复杂性(包括局部情况对全球系统的影响,反之亦然)来优化生物状态预测。

2)辨别不同因素在产生非健康全球状态变化中的作用并展示如何运用有效的生态系统管理来预防或限制这些即将发生的状态变化。

研究最终归结于问题:我们是否能利用全球健康的局部或地区性组成部分预测潜在状态变化来帮助决策者制定基于对全球健康状况潜在影响的,有效的策略。

尽管有越来越多的警示信号出现,没人知道地球是否确实在接近全球性的转折点(极端状态),这种极端的状态是否是不可避免的。

自然杂志等研究指出了地球生态系统中的一些重要工作元素。

(例如:局部因素,全球变化,多维元素与关系,变化的时间与空间范围)。

大学生英语竞赛2013答案

大学生英语竞赛2013答案

2013 National English Contestfor College Students(Level D - Preliminary)参考答案及评分标准Part I Listening Comprehension(30 marks)Section A (5 marks) 1—5 BABAB Section B (10 marks) 6—10 CBBAC 11—15 BAABC SectionC (5 marks) 16—20 BCCAB SectionD (10 marks)21.notably unusual 22. not necessarily 23. well known 24. set difficult goals 25. measure26. individuals 27. believe in 28. position 29. obstacles 30. be inspiredPart II V ocabulary and Structure (15 marks)31—35 CCABD 36—40 BACBD 41—45 DBCAAPart 陨陨陨Cloze (10 marks)46. of 47. divided 48. raising 49. exceptions 50. however51. including 52. greatly 53. as 54. century 55. whatPart IV Reading Comprehension (40 marks) Section A (10 marks)56. B 57. C 58. A 59. thought/thinking 60. artificial intelligence/AI Section B (10 marks)61. F 62. F 63. T64. Martial arts and acrobatics.65. When he began playing for laughs. Section C (10 marks)66. Unwanted, annoying, disorganized, or meaningless.67. Organization and complexity entwine and influence the piece in combination with each other and withother factors.68. The ideal level is a point where the complexity of a piece and the way it is organized are matchedperfectly with a listener蒺s knowledge and experience.69. 美肯定不仅仅局限于外表。

2013MCM数学建模美赛A题中英文对照

2013MCM数学建模美赛A题中英文对照

PROBLEM A: The Ultimate Brownie Pan问题A:终极布朗尼蛋糕盘When baking in a rectangular pan heat is concentrated in the 4 corners and the product gets overcooked at the corners (and to a lesser extent at the edges).当蛋糕在矩形盘里加热时,热量会集中在蛋糕的四个角导致加热过度(在较小的边缘处也有这种情况)。

In a round pan the heat is distributed evenly over the entire outer edge and the product is not overcooked at the edges.在圆形的盘子里,热量均匀的分布在蛋糕表面,所以不会加热过度。

However, since most ovens are rectangular in shape using round pans is not efficient with respect to using the space in an oven.然而,由于大多数的烤箱是矩形的,使用的盘子是圆形的,不能有效的利用烤箱里的空间。

Develop a model to show the distribution of heat across the outer edge of a pan for pans of different shapes - rectangular to circular and other shapes in between.建立模型来显示在使用不同形状的盘子时(方形,圆形和两者之间的其他形状),热量在其表面的分布情况。

Assume假设1. A width to length ratio of W/L for the oven which is rectangular in shape.1,烤箱是矩形的,长为l,宽为W。

2013年美赛数模A题翻译

2013年美赛数模A题翻译

2013 Contest ProblemsMCM PROBLEMSPROBLEM A: The Ultimate Brownie PanWhen baking in a rectangular pan heat is concentrated in the 4 corners and the product gets overcooked at the corners (and to a lesser extent at the edges). In a round pan the heat is distributed evenly over the entire outer edge and the product is not overcooked at the edges. However, since most ovens are rectangular in shape using round pans is not efficient with respect to using the space in an oven.Develop a model to show the distribution of heat across the outer edge of a pan for pans of different shapes - rectangular to circular and other shapes in between.Assume1. A width to length ratio of W/L for the oven which is rectangular in shape.2. Each pan must have an area of A.3. Initially two racks in the oven, evenly spaced.Develop a model that can be used to select the best type of pan (shape) under the following conditions:1. Maximize number of pans that can fit in the oven (N)2. Maximize even distribution of heat (H) for the pan3. Optimize a combination of conditions (1) and (2) where weights p and (1- p) are assigned to illustrate how the results vary with different valuesof W/L and p.In addition to your MCM formatted solution, prepare a one to two page advertising sheet for the new Brownie Gourmet Magazine highlighting your design and results.终极蛋糕烤箱当用矩形烤盘烘焙时,热量集中在4个角落,在角落的食物容易被烤糊(边上的热量较少),在一个圆形烤盘上,热量均匀的分布在盘的整个边缘,而且分布在边缘的食物不会被过度加热。

2013年最新美国数学竞赛试题及答案(AMC2013A)

2013年最新美国数学竞赛试题及答案(AMC2013A)

A1Square has side length . Point is on , and the area of is . What is ?2A softball team played ten games, scoring , and runs. They lost by one run inexactly five gam es. In each of the other gam es, they scored twice as m any runs as their opponent.How many total runs did their opponents score?3 A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of thepink flowers are roses, three fourths of the red flowers are carnations, and six tenths of the flowers are pink. What percent of the flowers are carnations?4What is the value of5Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their tripTom paid , Dorothy paid , and Sammy paid . In order to share the costs equally, Tom gave Sammy dollars, and Dorothy gave Sammy dollars. What is ?6In a recent basketball game, Shenille attem pted only three-point shots and two-point shots. She wassuccessful on of her three-point shots and of her two-point shots. Shenille attem pted shots. How m any points did she score?7The sequence has the property that every term beginning with the third is thesum of the previous two. That is, Suppose that and. What is ?8Given that and are distinct nonzero real numbers such that , what is ?9In , and . Points and are on sides , , and ,respectively, such that and are parallel to and , respectively. What is the perimeter of parallelogram?(9th)(11 th)10Let be the set of positive integers for which has the repeating decimal representationwith and different digits. What is the sum of the elem ents of ?11Triangle is equilateral with . Points and are on and points and are onsuch that both and are parallel to . Furthermore, triangle and trapezoidsand all have the sam e perimeter. What is ?12he angles in a particular triangle are in arithmetic progression, and the side lengths are . Thesum of the possible values of equals where , and are positive integers. What is ?13Let points and . Quadrilateral is cut intoequal area pieces by a line passing through . This line intersects at point , where thesefractions are in lowest term s. What is ?14The sequence, , , ,is an arithm etic progression. What is ?15Rabbits Peter and Pauline have three offspring—Flopsie, Mopsie, and Cotton-tail. These five rabbits are to be distributed to four different pet stores so that no store gets both a parent and a child. It is not required that every store gets a rabbit. In how many different ways can this be done?16, , are three piles of rocks. The m ean weight of the rocks in is pounds, the m ean weightof the rocks in is pounds, the m ean weight of the rocks in the com bined piles and ispounds, and the m ean weight of the rocks in the combined piles and is pounds. What is thegreatest possible integer value for the mean in pounds of the rocks in the com bined piles and ?17A group of pirates agree to divide a treasure chest of gold coins am ong them selves as follows. Thepirate to take a share takes of the coins that rem ain in the chest. The number of coins initially in the chest is the sm allest number for which this arrangement will allow each pirate to receive apositive whole number of coins. How many coins doe the pirate receive?18Six spheres of radius are positioned so that their centers are at the vertices of a regular hexagon of side length . The six spheres are internally tangent to a larger sphere whose center is the center ofthe hexagon. An eighth sphere is externally tangent to the six sm aller spheres and internally tangent to the larger sphere. What is the radius of this eighth sphere?19In , , and . A circle with center and radius intersects at pointsand . Moreover and have integer lengths. What is ?20Let be the set . For , define to m ean that either or. How m any ordered triples of elem ents of have the property that ,, and ?21Consider . Which of the following intervals contains ?22A palindrome is a nonnegatvie integer number that reads t he sam e forwards and backwards when written in base 10 with no leading zeros. A 6-digit palindrome is chosen uniformly at random. Whatis the probability that is also a palindrome?23is a square of side length . Point is on such that . The square regionbounded by is rotated counterclockwise with center , sweeping out a region whosearea is , where , , and are positive integers and . What is ?24Three distinct segm ents are chosen at random among the segments whose end-points are the vertices of a regular 12-gon. What is the probability that the lengths of these three segm ents are the three side lengths of a triangle with positive area?25Let be defined by . How m any complex numbers are there suchthat and both the real and the imaginary parts of are integers with absolute value atmost ?1. E2. C3. E4. C5. B6. B7. C8. D9. C10. D11. C12. A13. B14. B15. D16. E17. D18. B19. D20. B21. A22. E23. C24. E25. A。

2013全国大学生英语竞赛C类真题答案

2013全国大学生英语竞赛C类真题答案

2013National English Contestfor College Students(Level C-Preliminary)参考答案及作文评分标准Part I Listening Comprehension(30marks)Section A(5marks)1—5ABCCBSection B(10marks)6—10ABBCB11—15CABABSection C(5marks)16—20CACBBSection D(10marks)21.yearn for22.flush out23.tends to pensate forck of evidence26.separated into27.assessed28.medication29.contradictory30.wrinklesPart II Vocabulary and Structure(15marks)31—35CDCCB36—40BADCA41—45ADBCAPart III Cloze(10marks)46.hiding47.surprising48.pressure49.presidency50.existence51.with52.place53.gravity54.Additionally55.afternoonPart IV Reading Comprehension(40marks)Section A(10marks)paring58.unique59.altered60.privacySection B(10marks)61.F62.F63.T64.Pansies are more hardy than busy lizzies.65.Potentillas.Section C(10marks)66.extreme lengths/great patible with68.on condition69.C70.B Section D(10marks)71.Glaciers and forests.72.24cubic miles of ice.73.They have increased in numbers.74.阿拉斯加的大部分土地曾经是常年冰冻,或是一年中多数时间都保持冰冻状态,以此保持它的完整。

2013年美赛c题 生态系统评价 英文版.

2013年美赛c题 生态系统评价 英文版.

For office use onlyT1________________ T2________________ T3________________T4________________Team Control Number15879Problem ChosenAFor office use onlyF1 ________________F2 ________________F3 ________________F4 ________________ Small Leaf, Big WorldAbstract地球的生态状况越来越受到人们的关注,但评价地球这个大生态系统的健康状况一直是个难题。

本文我们主要通过主成分分析分析各国家(节点的健康状况,利用有向复杂网络构建了一个可以联系各节点的网络,并对地球健康状况进行GM(1,1预测来分析复杂的地球生态系统。

地球是一个庞大而复杂的生态系统,就像一个网络。

对此,我们选取国家作为我们分析地球这个复杂网络的节点,因为地球上的国家较多,我们通过考虑地理位置和国家发展状况选取典型的国家,最终确定21个国家作为我们分析的节点。

对于各个节点健康状况,我们根据生态学的相关知识确定了社会、经济、环境和人这四个因素范围内的11个地球健康指标,并在世界银行数据库查得21个国家的11个指标在1991年到2010年这20年的数据,以及世界总的相关数据。

我们分析这个复杂的地球生态系统主要有以下三个方面:(1对每个节点的健康指数求解。

我们采用主成分分析法对21个节点以及世界的11个指标进行综合分析,把11个指标抽象成5个主成分进行健康指数的求解,我们以2000年的数据用MATLAB进行编程求解,结果显示五个主成分的累积贡献率高达92%,结果可靠。

我们同时对各个节点的综合值Z(健康指数进行排名,排名靠前的是美国、澳大利亚、加拿大等发达国家,排名靠后的是Morocco、Egypt Arab Rep. China、Kenya等发展中国家且生态保护较差的国家。

2013年美赛MCM问题A翻译

2013年美赛MCM问题A翻译

2013年赛题
MCM问题
问题A:终极布朗尼平底锅
当在一个矩形的锅烘烤时,热度会集中在4个角,而且烘烤的产品会在4个角焙烤过度(以及较小程度上在边缘也有)。

在一个圆形盘的热量被均匀地分布在整个外缘,导致在边缘处的产品焙烤不足。

然而,由于大多数微波炉都是方形的,用圆锅放在里面的话空间利用率就不高。

开发一个模型来展示不同形状平底锅(方形到圆形以及介于之间的),沿平底锅边缘的热量分布。

假设
1.宽度与长度比率的W / L的形状是矩形的烘箱。

2.每个盘必须具有面积A。

3.最初,两个机架在烤箱,间隔均匀。

建立一个模型,可用于选择最佳的类型(形状)的平底锅,在下列情况下:1.适合在烤箱的锅,可以最大限度地提高数(N)
2.最大限度地均匀分布热量(H)
3.优化的组合的条件(1)和(2)式中的权重p和(为1 - p)被分配的结果来说明如何随不同的值的W / L和p。

在除了MCM格式解决方案中,准备一到两页的广告片的新布朗尼美食杂志突出自己的设计和结果。

2013美赛C题requirement翻译

2013美赛C题requirement翻译

Requirement 1:Build a dynamic global network model of some aspect of Earth's health (you develop the measure) by identifying local elements of this condition (network nodes) and appropriately connecting them (network links) to track relationship and attribute effects.Since the dynamic nature of these effects is important, this network model must include a dynamic time element that allows the model to predict future states of this health measure. For example, your nodes could be nations, continents, ocea ns, habitats, or any combination of these or other elements which together constitute a global model. Your links could represent nodal or environmental influences, or the flow or propagation of physical elements (such as pollution) over time. Your health measure could be any element of Earth's condition to include demographic, biological, environmental, social, political, physical, and/or chemical conditions. Be sure to define all the elements of your model and explain the scientific bases for your modeling decisions about network measures, nodal entities, and link properties. Determine a methodology to set any parameters and explain how you could test your model if sufficient data were available. What kinds of data could be used to validate or verify the efficacy of your model? (Note: If you do not have the necessary data to determine parameters or perform verification, do not throw out the model. Your supervisor realizes that, at this stage, good creative ideas and theories are as important as verified data-based models.) Make sure you include the human element in your model and explain where human behavior and government policies could affect the results of your model.通过识别在这种情况下的本地元素(网络节点)建立一个地球健康方面的(发展的措施)动态全球网络模型,适当连接它们(网络链接)来跟踪关系和属性效果。

2013美赛翻译

2013美赛翻译

当用方形的平底锅烤饼时,热量会集中在四角,食物就在四角(甚至还有边缘)烤焦了。

在一个圆形的平底锅热量会均匀分布在整个外缘,食物就不会被边缘烤焦。

但是,因为大多数烤箱是矩形的,使用圆形的平底锅不那么有效率。

建立一个模型来表现热量在不同形状的平底锅的外缘的分布——包括从矩形到圆形以及中间的形状。

试构建一个模型来显示通过不同锅底的外沿热量的分布情况:方形到圆形极其两者之间的其他形状。

假定:
1. 方形烤箱宽长比为W/L;
2. 所有参考锅的面积必须为A;
3. 最初烤箱的两个支架均衡放置。

构建一个模型用于在如下情境下筛选最佳锅型:
1. 适合该烤炉(N)的最大锅型数;
2. 最大化均匀热度分布(H)的锅型;
3. 最优化条件(1)和(2),各自占有比率为p 和(1- p)用以描述W/L与p的差异性。

除了提供标准的MCM格式解答之外,为布朗尼美食杂志提供一份1-2页的广告宣传,你需要突出你的设计和结果。

全国大学生英语竞赛2013真题C类及答案

全国大学生英语竞赛2013真题C类及答案

2013 National English Contest for College Students(Level C - Preliminary)(总分:150分答题时间:120分钟)Part I Listening Comprehension (30 marks)Section A (5 marks)In this section, you will hear five short conversations. Each conversation will be read only once. At the end of each conversation, there will be a twenty-second pause. During the pause, read the question and the three choices marked A, B and C, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the center.1.Why didn’t the man go to see Macbeth last week?A.He didn’t manage to get a ticket.B.He had to attend a conference.C.He had a better production to watch.2.What does ―Fill Me In‖ refer to in this conversation?A. A type of upgraded mobile phone.B. A well-selling magazine.C. A writer’s new book series.3.Why doesn’t the woman like the bag?A.She doesn’t like the pattern.B.It’s not easy to carry.C.It’s too big for her.4.What makes a bad CV according to the man?A.Fake information.B. Terrible writing.C. Undesirable length.5.How will Cathy continue her Spanish learning?A.She’s going to make a friend in Spain.B.She’ll communicate with a Spanish friend in Spain.C.She’ll practice speaking Spanish with an English friend.Section B (10 marks)In this section, you will hear two long conversation. Each conversation will be read only once. At the end of each conversation, there will be a one-minute pause. During the pause, read the question and the three choices marked A, B and C, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the center.Conversation One6.What traffic accident are the speakers talking about?A. A kid was knocked down by a car.B.Two cars crashed into a shop.C. A car ran into a wrong place.7.Why did the accident happen according the woman?A.There were many shops around.B.The crossing is in a wrong place.C.There was no crossing here.8.Which of the following is the suggestion they made?A.More traffic lights should be installed.B. A speed camera should be mounted.C.More policemen should patrol that area.9.Where, as the woman mentioned, has got improved traffic?A.Her own neighborhood.B.Her big brother’s neighborhood.C.Her parents’ neighborhood.10.How was the man punished for his traffic offence?A.He was fined 100 pounds with extra penalty points.B.He had to pay 150 pounds and got 6 penalty points.C.He finally paid 600 pounds without any penalty points.Conversation Two11.Why is the expert opposed to the view that memory aids make your memory worse?A.There is no evidence showing that memory aids are invalid.B.Human beings’ brain functions mainly through memory aids in an effective way.C.Memory aids encourage an organized approach which helps the brain functioneffectively.12.What is interview’s attitude towards the idea that visual image help the memoryA.It is hard to believe.B.It is nothing strange.C.It is obviously nonsense.13.Who developed the system of memory aids centuries ago?A.Inhabitants on an isolated island.B.The Ancient Greeks.C. A great psychologists.14.How does mapping out notes affect the brain?A.It is helpful in reflecting the way people link information in the brain.B.It prevents people from arranging things logically.C.It makes people’s brain f unction the opposite way.15.What tends to affect people’s ability to think clearly?A.Upbringing and innate differences.B.Worry and anxiety.C.Their aptitudes.Section C (5 marks)In this section, you will hear five short news items. After each item, which will be read only once, there will be a pause. During the pause, read the question and the three choices marked A, B andC, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the center.16.How can social media influence the presidential election in the USA according to thelatest research?A.It can help voters to choose their president.B.It can help to ensure the fairness of the elections.C.It can help to increase the number of voters.17.What honorary title has Yaya Toure been granted?A.The African Player of the Year.B.212 Star of the Confederation of African Football.C.The Ivory Coast star.18.Why did Reshma Saujani set up the organization ―Girls Who Code‖?A.To raise women’s status in the field of science.B.To improve girls’ aptitude and performance in STEM.C.To arouse girls’ interest in science and technology.19.Which tablet computer’s hardware inside is more powerful?A.The CNET Kum.B. The Google Nexus 7.C. The Apple iPad mini.20.What does the company announce that it can do for the United States?A.It can reduce the amount of plastic waste.B.It can help to recycle the plastic waste.C.It can increase the amount of exports.Section D (10 marks)In this section, you will hear a short passage. There are 10 missing words or phrases. Fill in the blanks with the exact words or phrases you hear. The passage will be read twice. Remember to write the answers on the answer sheet.If you (21) ____ smooth skin that glows with youth, the chances are that at some point you will have heard the exhortation to drink lots of water in order to (22) ____ those evil toxins and keep your skin healthy.The exact amount people suggest varies. US – based advice (23) ____ eight glasses a day, while in hotter climates people are advised to drink to more to (24) ____ higher rates of sweating. But regardless of the exact volume of water suggested, the principle behind the advice remains the same --- taking extra water on board will keep your skin hydrated. In other words, water acts like a moisturizer, but from the inside out.This is such a common idea you might be surprised at the (25) ____ to back up. You might expect there to be countless studies where people are (26) ____ two groups, one assigned to sip water all day, the other to drink a normal amount. Then the smoothness of the skin could be (27) ____ a month or so later to establish whether sipping more lead to smoother skin.In fact such studies are rare, partly because water can’t be patented, so it is hard to find anyone to fund such research when there will be no new (28) ____ or cosmetic to sell that could repay the costs. A review by the dermatologist Ronni Wolf at the Kaplan Medical Center in Israel found just one study looking at the effect of long-term water intake on the skin. But the resultswere (29) ____. After four weeks, the group who drank mineral water showed a decrease in skin density, which some believe suggests the skin is retaining more moisture, while those who drank tap water showed an increase in skin density. But regardless of the type of water they drank, it made no difference to their (30) ____ or to the smoothness of their skin.Part II Vocabulary and Structure (15 marks)There are 15 incomplete sentences in this section. For each blank there are four choices marked A, B, C and D. Choose the one that best completes the sentence. Then mark the corresponding letter on the answer sheet with a single line through the center.31. The new star said to the journalists that she _C___ the opportunity to show that she could playa serious film role.A. greetedB. rejoicedC. welcomedD. cheered32. We haven’t really __D__ a solution to the problem yet, which makes the boss really frustrated.A. built upB. fallen back onC. brought overD. come up with33. Personally, I am __C__ banning cigarette smoking completely, especially in public areas.A. in touch withB. apart fromC. in favor ofD. regardless of34. Until a firm agreement has been reached, I am not __C__ to accepting the offer.A. accustomedB. dedicatedC. committedD. entitled35. The government is making every effort to __B__ an economic crisis, but it seems nothing could help.A. eliminateB. avertC. impedeD. swerve36. __B__ a serious crime, what exactly should you do?A. Unless you witnessB. If you were to witnessC. If only you witnessD. since you witness37. During examinations candidates are always supposed to stay in seats, keep their eyes on the work, _A___ to anyone.A. and not speakB. but could not speakC. rather than speakD. instead of speaking38. Realizing that he hadn’t got enough money and _D___ to borrow any from his parents, he decided to sell his house.A. wanted notB. not to wantC. wanting notD. not wanting39. There’s no point waiting here any longer. We _C___ go and have something to eat.A. can hardlyB. are bound toC. might as wellD. will have to40. While many people may refer to up-to-minute news, it is unlikely that television and the Internet _A___ the newspapers completely.A. will replaceB. replaceC. are replacingD. have replaced41. She married a very nice young architect from Belfast, _A___ she met on a bus during her journey to Northern Ireland.A. whoB. whenC. whichD. where42. It is a kind of illness that can result in total blindness if __D__A. to leave untreatedB. is left untreatedC. leaving untreatedD. left untreated43. ----I’m so disappointed with my son! He just wouldn’t practice the piano!----Take it easy. You can lead ___B_ to water, but you can’t make it drink.A. a duckB. a horseC. a cowD. a dog44. ----Good morning, Madam! I’d like some information about the course.----Certainly. _B___A.I’m afraid I don’t know more than you either.B.Is there anything I can do for you?C.What exactly would you like to know?D.How much information did you know?45. ---- How do you feel about countries that don’t try to reduce global warming?---- __A__, those countries care more about money than saving the planet.A.As far as I’m concernedB. It’s none of our businessC. We’re not to blameD. Things are under controlPart III Cloze (10 marks)Read the following passage and fill in each blank with one word. Choose the correct word in one of the following three ways: according to the context, by using the correct form of the given word, or by using the given letters of the word. Remember to write the answers on the answer sheet.According to recent surveys, 72% of all Americans believe that the United States government is (46) hiding____ information about UFOs. Almost 68% of people think that the government has secret knowledge of extraterrestrial life. It is not (47) _surprising__ (surprise) that the government has come under more and more (48) pressure____ to declassify its UFO records and make them public. A variety of different groups have been involved in these efforts.One group to become involved is called CFI, the Coalition for Freedom of Information, John Podesta, who was White House Chief of Staff duri ng Bill Clinton’s (49)presidency____(president), is one of the many high-powered people active in this group. CFI’s aim is not to prove the (50) _existence___(exist) of extraterrestrial life, but to make it easier for scientists in general to study unexplained aerial phenomena. Podesta and his group has asked the Pentagon to declassify its UFO records and therefore provide scientists (51) with____ data that will help in the study of UFOs.CFI has requested the release of information on several UFO cases, starting with the Kecksburg, Pennsylvania, incident. This incident took (52) __place__ in 1965 when a large acorn-shaped object, the size of a small car, crashed in Pennsylvania. Some analysts say it could have been the spacecraft Kosmos 96 that had been launched towards Venus by the Soviet Union, but failed to escape Earth’s (53) g ravity____. Others say the object did not look anything like spacecraft built on Earth in 1965.(54) Additionally___, the people of Kecksburg want to know what happened. On that (55) afternoon____, hundreds of eyewitnesses watched a fiery streak of light descend from the sky towards Earth. Officials explained that nothing was found or recovered and that maybe the fireball in the sky was a meteor. But many witnesses say they saw a number of military personnel from the Army and the Air Force search the woods, and later that evening, saw a large militarytractor-trailer coming from the area carrying a large object under a tarp.Part IV Reading Comprehension (40 marks)Read the following passage. Each passage is followed by several questions. Respond to the questions using information from the passage. Remember to write the answers on the answer sheet.Section A (10 marks)Questions 56-60 are based on the following passage.The average automatic teller machine (ATM) is not very smart. It will give money to anyone who has the right card and punches four or five keys in the right order. Some analysts estimate that as many as 30% of ATM transaction worldwide are cases of theft. To increase security at cash machines, some banks have tried to make their ATMs a little smarter. A small camera on the machine looks directly into the eye of every customer. It scans one iris and compares the tiny patterns of ridges, dots, and other features to a code in its computer. If there is a match, the ATM will start counting out cash. If not, a message is automatically sent to the nearest police station.Iris-scanning is one fast-growing form of biometric identification --- determining who someone is by examining features the body. One of the earliest biometric techniques was fingerprinting. The line on fingerprints are unique to each person, so not even identical twins have the same fingerprints. Fingerprinting has become famous as a way of finding out who committed a crime, but it very often fails. A careful criminal can swear gloves, avoid touching thing, or even alter his fingerprints by burning, cutting, or scraping them. In the search for a more reliable system, security experts have focused on the eye.Like a fingerprint, every iris is, for all practical purposes, unique. Each person’s right iris is even different from his or her left one. A low-cost digital camera, like the kind installed at ATM machines, can easily detect hundreds of different features in the iris. The chance of two irises having the same features is close to zero. Tests have shown that iris-scanners are very hard to fool. They can tell the difference between a real iris and a false one. They can see right through colored contact lenses, eyeglasses, and even mirrored sunglasses. Although many criminal are willing to burn or cut their fingers in pursuit of the perfect crime, few would be willing or able to alter their irises.T o make iris-scanning work, a computerized database has to match certain iris features with certain people. This means that each A TM customer has to allow a bank to photograph his or her iris and keep that highly personal information in a computer. Some people have worried, however, that an increased use of iris-scanning will lead to a dangerous loss of privacy. By mountingiris-scan cameras in public places, governments could track a private citizen all day long without the person’s knowledge. This would be a great advantage to the police, but it could also giv e corrupt officials a new way to control their opponents. The military’s development of tiny robots suggests that government iris-scanners could even invade private homes!Questions 56-60Complete the summary with words from the passage, changing the form where necessary, with only one word for each blank.Section B (10 marks)Questions 61-65 are based on the following passage.Seed catalogues feature hundreds of flowering species. For the persons just beginning garden this can be bewildering, and below are the details of some popular choices, nearly all of which should be sown in the spring. With the exception of busy lizzies, which need a little care, they are all very easy to grow from seed.DahliasThese are sturdy plants bearing showy flowers in a wide range of rather gaudy colors. Sow in a frame in April and plant the seedlings out when frosts are over. Dahlias flower throughout the summer and into the autumn. When autumn frosts begin to make them look unhappy, you should dig up the tuberous roots and save them. A frost-free loft, shed or garage is the ideal place. The following spring you plant the tubers instead of sowing seed again.LupinsLupins are hardy perennials. This means that the plants will stay in your garden and carry on flowering year after year. Seed sown in April will usually give you some spikes of colors in the first summer, and year by year the plants get bigger and the flowering stems get taller and grander. Selective breeding has led to the introduction of some fine, bicolored varieties in some dazzling shades. The short-lived flowers make a real misunderstanding spectacle.Busy lizziesLike dahlias, busy lizzies need to be started offunder glass, as they cannot stand frost, and pantingout is best done in May. Outdoor flowering ends inSeptember, so beat the frosts and bring your favoritespecimens indoors to give your home some sintercolor! Indoors they will carry on floweringindefinitely, though you may like to plant them outagain when spring returns. Like pansies (below) they do very well in sun or shade, but the soil must be moist. Most varieties grow to be a height of only 20 cm or so.PotentillasPotentillas are hardy shrubs. In other words, the woody branches spring from groundlevel —there is no central trunk. Seed is probably best sown in autumn, in which case you should keep the plants in a sheltered spot until April offers favorable conditions for planting out. Once flowering begins in early summer the best varieties (such as Melton Fire) will stay in bloomATM transactions are often cases of theft, where an unauthorized user takes (56) __money_. To decrease insecurity, some banks have installed iris-scanning machines at ATMs. These small cameras scan t he user’s iris, recording its features and (57) _comping___ them to a digital file. Every person has a (58) _ unique ___ iris, making iris identification highly reliable. Earlier efforts at biometric identification often relied on fingerprints. However, fingerprints can easily be (59) altered____ through cutting, burning or scrapping. Iris scanners are so effective that they can even see through contact lenses and mirrored sunglasses. Use of iris scanners would provide great advantages to the police. However,others worry about a loss of (60) ____.almost ceaselessly for years on end while at the same time spreading out to provide ground cover or a low hedge.PansiesPansies have a good long flowering season year after year, and some varieties can be sown in spring to give truly splendid results the first autumn. Unlike dahlias and lupins, which can easily grow a meter tall, pansies grow no higher than 10 or 20 cm. Their soil, position and moisture requirements are just like those of busy lizzies but pansies differ in being hardy. Give them a try!Questions 61-63Decide whether the following statements are true (T) or false (F) according to the passage.61. Both dahlias and lupins, which are sown in April, need protecting from frost.62. Brought indoors in autumn, dahlias, busy lizzies and potentillas will carry on flowering almost non-stop.63. Among all the flowers busy lizzies are not very easy to grow from seed.Section C (10 marks)Questions 66-70 are based on the following passage.When looking for love, people may go to some extreme lengths. They might go on blind dates set up by family and friends. They might write personal ads to place in newspapers. Or they might use a computer to help them in their search for a soul mate by joining an online dating services. Some people have even tried to find their perfect match through game shows on television. Many of these TV dating shows, including The Bachelor and Who Wants to Marry a Millionaire? have proved to be ratings blockbusters, with millions of viewers watching each week to find out which of the contestants will find true love.Of all these game shows, perhaps the one with the most unexpected ending was Mr. Right, which was shown in England in 2002. On the show, a bachelor, thirty-five-year-old Lance Gerrard-Wright, dated fifteen women to find the one who was his ideal partner. The host of the show was Ulrika Johnson, an English celerity originally from Sweden. For seven weeks on the show, Gerrard-Wright took turns going on dates with each of the women, taking them to expensive restaurants and exotic locations. He even met the women’s families and introduced them to his own. Then at the end of each episode, he would choose between one and three of the contestants with whom he had felt the least compatible, and say goodbye to them.At one point during the series, one contestant volunteered to leave because she said she didn’t find him attractive. After two dates she said she had had enough, and she couldn’t see it working. ―He wasn’t my cup of tea.‖ In another episode the woman he was on a date with burst into tears when he called her by another contestant’s name. ―You called me by another girl’s name. I can’t bel ieve you did that. I really liked you,‖ she sobbed.But in the final episode, the woman he eventually chose decided she didn’t want to marry him after all. ―I think you’ve chosen me because you have to choose someone,‖ she said. Maybe this was because she already knew he had fallen in love---with the show’s host!After leaving the show, Gerrard-Wright and Johnson were seen dining together and attending parties around London more and more often. Finally, on May 1, 2003, Gerrard-Wright proposed to Johnson o n the steps of St. Paul’s Cathedral. And she accepted his proposal right away, although it was a conditional acceptance. Johnson has two children from previous relationships—aneight-year-old son, Cameron, and a two-year-old daughter, Bo. She had to make sure that they agreed to the marriage. Luckily, they did. Gerrard-Wright said, ―In the end the show did work for me. I grabbed an opportunity to get a girlfriend and I did. Ulrika’s gorgeous.‖Questions 66-68Complete the following sentences with information given in the passage in a maximum of 2 words for each blank.66. Lance Gerrard-Wright went to ____ to go on the show Mr. Right in order to find his perfect match.67. On the show, Lance had the opportunity to date many gorgeous women among whom there might be one that he was almost ____.68. Ulrika accepted Lance’s proposal ____ that her children agreed to their marriage as well. Questions 69-70Choose the best answer according to the passage.69. Which of the following did NOT happen on the show?A. Lance went on dates with several women.B. The candidates went to some very good restaurants.C. Ulrika consulted her parents before she made her decision.D. The women met Lance’s family.70. What happened after seven weeks of doing the show?A. All of the women found their beloved.B. Lance started to date with the show’s host.C. One of the women on the show couldn’t help crying.D. Ulrika asked Lance to marry her.Section D (10 marks)Questions 71-75 are based on the following passage.Alaska is disappearing slowly but surely. Since the 1950s, it is estimated that as much as 15 percent of Alaska’s area has disappeared. But how can a whole state be disappearing?One reason for Alaska’s gradual disappearance is the melting its glaciers. According t o one geologist at the US Geological Survey, about 98 percent of Alaska’s glaciers are either unmoving or diminishing. This diminishing seems mainly due to the increase in global temperatures. Since the 1960s, the average year-round temperature has increased by 5℉. Furthermore, the average winter temperature has increased by 8℉. Presently, an estimated 24 cubic miles of ice is disappearing from Alaskan glaciers every year. It may be even more in the near future, as some scientists predict that the average world temperature could go up 2.5 to 10℉by the year 2010.Another problem contributing to Alaska’s gradual disappearance is its permafrost. (74) Much of the land in Alaska was permanently frozen, or frozen for most of the year, thus maintaining its integrity. Now, the thawing permafrost is causing a number of problems on land. Roads and utility poles are collapsing. Also, the hard permafrost which originally prevented beaches from eroding during violent storms is now melting. Affected villages are forced to relocate. For villages on small low islands, one terrible storm could wipe out the entire community.The melting permafrost and increasing temperature are also having a negative impact on the forests of Alaska. As the permafrost under the forests melts, in sects that normally don’t turn upuntil the warmer seasons are appearing sooner. The spruce-bark beetle, for example, is increasing in numbers as a result of global warming. It usually takes about two years for these beetles to grow and reproduce in a very cold weather. However, due to the increase in temperatures, spruce-bark beetles are damaging as many trees in one year as they previously damaged in two. At this rate, Alaska’s forest won’t survive the turn of the century.Some scientists believe that human activity is linked to a global increase in weather temperature. Whether the rising temperature are caused by human activity or natural changes, the fact remains that Alaska is warming. Some others argue that global warming may be a normal trend on the Earth’s temperature chart. (75) One theory argues that we are near the end of aso-called ―Little Ice Age‖, and the return of the glaciers is natural result of this cycle. Whether natural or produced by humans, there is little hope for the immediate future of glaciers as we know them. Horribly, this could be a preview of what will happen to the rest of the world in the next century.Questions 71-73Answer the following questions briefly according to the passage.71. What are disappearing in Alaska actually?72. How much ice is melting each year according to the survey?73. Why do insects damage more trees than before?Questions 74-75Translate the underlined sentences in the passage into Chinese.74. Much of the land in Alaska was permanently frozen, or frozen for most of the year, thus maintaining its integrity75. One theory argues that we are near the end of a so-called ―Little Ice Age‖, and the return of the glaciers is natural result of this cycle. Whether natural or produced by humans, there is little hope for the immediate future of glaciers as we know them.Part V Translation (10 marks)Translate the following sentences into English, using the hints given in brackets. Remember to write the answers on the answer sheet.76. 宴会时间就要到了,但她仍纠结于是否应该去。

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201MCM PROBLEMSPROBLEM A: The Ultimate Brownie PanWhen baking in a rectangular pan heat is concentrated in the 4 corners and the product gets overcooked at the corners (and to a lesser extent at the edges). In a round pan the heat is distributed evenly over the entir e o edge and the product is not overcooked at the edges. However, since most ovens are rectangular in shape using round pans is not efficient with respect to using the space in an oven.当在一个矩形的锅热烘烤时,热量集中在烤箱的4个角落中,在角落处的食物就会过度烹饪(在某种程度上边缘也是这样)。

圆形平底锅热量平均分配在整个外缘,在边上的食物不会过度烹饪。

然而,由于大部分烤箱都是方形,考虑到烤箱空间的使用,圆形锅不会有效的利用烤箱的空间。

Develop a model to show the distribution of heat across the outer edge of a pan for pans of different shapes - rectangular to circular and other shapes in between.建立一个模型来说明不同形状的锅(圆形方形或其他形状)的外边缘热量的不同分布。

Assume1. A width to length ratio of W/L for the oven which is rectangular in shape.2. Each pan must have an area of A.3. Initially two racks in the oven, evenly spaced.假设1.矩形烤箱的的宽度与长度之比是W / L。

2.每个盘子的面积都是A。

3.最初,两个机架在烤箱,间隔均匀。

Develop a model that can be used to select the best type of pan (shape) under the following conditions:1. Maximize number of pans that can fit in the oven (N)2. Maximize even distribution of heat (H) for the pan3. Optimize a combination of conditions (1) and (2) where weights p and (1- p) are assigned to illustrate how the results vary with different valuesof W/L and p.建立一个模型,可用于选择最佳的盘子(形状)在下列情况下:1.可以放到烤箱中的锅的最大数量是(N)、2.盘子里最大限度地均匀分布热量为(H),3.优化的组合的条件(1)和(2)式中的权重p和(1 – p),用来说明如何随不同的值的W/L和P的变化而影响最终结果。

In addition to your MCM formatted solution, prepare a one to two page advertising sheet for the new Brownie Gourmet Magazine highlighting your design and results.除了你的罗马数字格式化的解决方案,准备一个一到两页的广告板为新布朗尼美食杂志突出自己的设计和结果。

PROBLEM B: Water, Water, EverywhereFresh water is the limiting constraint for development in much of the world. Build a mathematical model for determining an effective, feasible, and cost-efficient water strategy for 2013 to meet the projected water needs of [pick one country from the list below] in 2025, and identify the best water strategy. In particular, your mathematical model must address storage and movement; de-salinization; and conservation. If possible, use your model to discuss the economic, physical, and environmental implications of your strategy. Provide a non-technical position paper to governmental leadership outlining your approach, its feasibility and costs, and why it is the “best water strategy choic e.”Countries: United States, China, Russia, Egypt, or Saudi Arabia问题B:水,水,到处都是淡水已经是约束世界上大部分国家发展的一个限制条件。

建立一个数学模型来确定一个有效的、可行的,和有成本效益的水战略,以满足从2013年开始的水需要[选择一个国家从下面的列表]到2025年,和确定最佳水战略。

特别是,你的数学模型必须解决存储和移动;去盐碱化;环保。

如果可能的话,用你的模型来讨论经济、物理和环境影响的战略。

提供一个非技术意见书给政府领导概述你的方法,其可行性和成本,以及为什么它是“最好的水战略选择。

”国家:美国、中国、俄罗斯、埃及或沙特阿拉伯ICM PROBLEMPROBLEM C: Network Modeling of Earth's HealthClick the title below to download a PDF of the 2013 ICM Problem.Your ICM submission should consist of a 1 page Summary Sheet and your solution cannot exceed 20 pages for a maximum of 21 pages.Network Modeling of Earth's Health2013 ICM 问题地球健康的网络模型背景:社会对于发展和利用模型去预测地球的生物和环境的健康条件很有兴趣。

很多科学研究都得出结论,越来越多的压力被施加在地球的环境和生物系统,但是很少有全球的模型去检测这些主张。

UN..发现将近三分之二的地球生命供应生态系统—包括清洁的水,纯净的空气,稳定的气候,正在由于不可证实的用途而退化。

人们因为这些破坏而受到指责。

猛涨的对于食物,新鲜水,燃料,木材的需求对巨大的环境改变有重要影响,从砍伐森林到空气土地和水污染。

不管对于当地栖息地和地区因素的相当的研究,现在的模型都不能完全地告知决策者他们的地区性政策能怎样影响全球的健康。

很多模型忽略了复杂的全球因素并且不能确定潜在政策的长期影响。

尽管科学界明白大量的环境和生物系统的复杂的关系和交叉效应对于地球生态圈的影响,现在的模型忽略这些关系或者限制系统之间的联系。

系统的复杂性表现在多样的交互作用,反馈回路,应激反应和即将发生情况的转变或者临界点。

《自然》最新的由22名知名的国际科学家撰写的文章“地球生态圈的临界转换”概括了很多问题和对于科学模型的需求与预测行星健康系统潜在变化的重要性。

该文章提供了两种特殊的定量的建模,并向更好的预测模型提出挑战。

1、通过全球模型(包含复杂的地球相互关联的系统和地区条件对于全球系统的系统的影响,反之亦然)去提高生物预测。

2、确定可以产生不健康的全球状态转换的因素并且展示如何运用有效的生态系统管理方法去阻止或者限制这些即将发生的状态转变。

这个研究的问题就是我们能否运用当地或者地区的组成地球健康的部分信息建立一个全球的模型,而这些信息组成部分是可以推断国家潜在变化并且可以帮助决策者通过对地球健康潜在的影响规划出有效的政策。

尽管许多警报都出现了,但是没有一个人能够知道地球是否是已经接近了临界点,或者说是否已经达到了一个极限的状态。

自然的杂志以及许多其他的期刊都指出在地球生态系统中存在许多的元素。

(例如局部因素,全球影响,多维因素与联系,变化时间和空间规模)同样也有许多其他的因素包含以这个预测模型:人口,气候变化,土地利用类型,污染,大气化学,海洋化学,生物多样性,以及潜在的项目例如社会的不稳定以及经济的不稳定。

古生物学家已经研究并建立了生态系统行为模型以及反映了先前环境的巨大变动和因此产生的基于历史的的定性和定量的信息都可以为未来的潜在模型提供北京只是。

然而人为因素在我们现在的生物环境中显著增长也应该值得我们注意。

你们是ICM团队的成员,你们将组织一个题目为“地球健康网络模型”的研讨会,并且你们的模型领导者已经提前要求你们在研讨会上,展示模型,分析模型。

他需要你们的团队做如下的准备:问题1:根据影响地球健康的因素(你自己寻找方法),建立一个动态的全球化网络模型,目的是确定影响的条件(网络节点)并且大概连接他们(网络链接)以寻找关系,起到作用。

由于这些影响因素的动态性是非常重要的因此这个网络模型必须包含一个动态的元素,来允许该模型预测未来状态的卫生状况。

例如:你的节点,可能包括:国家,大陆,海洋,栖息地,或这些的任意组合,亦或者是构成全球化模型的其他元素。

你的链接可以代表一个节点或是对环境的影响,或者是长时间的物理元素的流动(例如污染)。

你的健康因素可以是地球上的任何元素的条件,包括:人口,生物,环境,社会,政治,物理或化学条件。

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