Problem 1. A couple decides to have children until they have both a boy and a girl. What is the expected number of children that they'll end up with? Assume that each child is equally likely to be a boy or a girl and genders are mutually independent Solution. There are many ways to solve

一、线性变换的乘法 设A,B是线性空间V的两个线性变换,定义它们的乘积为 (AB)(a)=A,B(a))(a∈V) 则线性变换的乘积也是线性变换 线性变换的乘法适合结合律,即 (AB)C=(BC)

I. Explain the italicized words or phrases in the following sentences. (20%) 1. Every here and there, a doorway gives a glimpse of a sunlit courtyard, perhaps before a mosque or a caravanserai

1 Graphs and Trees The following two definitions of a tree are equivalent Definition 1: A tree is an acyclic graph of n vertices that has n-1 edges Definition 2: A tree is a connected graph such that Vu, v E V, there is a unique path connecting u to u. In general, when we want to show the equivalence of two definitions, we must show

I 目 录 1．学科基础课平台必修课 《风景园林专业导论》 《高等数学 D》 《素描风景画》 《构成基础》 《色彩风景画》 《风景园林设计基础》 《园林 AUTOCAD 制图》 《园林 AUTOCAD 制图》实践 《园林植物学 1》 《园林植物学 2》 2．学科基础课平台选修课 《风景速写》 《建筑制图 A1》 《建筑制图 A2》 《中国画基础》 《书法》 《手绘效果图表现技法》 《Photoshop 辅助园林制图》 《测量学 C》 《测量学实习 B》 《风景园林模型制作》 《园林效果图电脑表现》 《建筑设计原理 B》 《植物造景 B》 《文献检索》 《艺术设计概论》 II 《创造性思维训练》 《民间美术 A》 《设计史》 《园林制图》 《人体工程学 A》 《中外美术概论》 《艺术摄影》 《环境心理学》 《插花艺术》 《建筑赏析》 《中外城市建设史 A》 3．专业课平台必修课 《道路及城市广场景观设计》 《居住区景观设计》 《中外园林史》 《风景园林工程 1》 《园林建筑设计 1》 《风景园林工程 2》 《园林建筑设计 2》 《公园规划设计》 4．专业课平台选修课 《城市规划原理 C》 《景观雕塑》 《中国古典园林分析》 《园林生态学》 《风景园林专业英语》 III 《园林工程概预算》 《城市绿地系统规划》 《风景园林环境分析》 《园林建筑构造设计》 《建设工程项目管理》 《遗产保护与发展》 《遗产保护与发展》考试大纲 《外部空间设计》 《中外建筑史 B》 《乡土景观设计》 《建设工程经济》 《乡村休闲游憩与旅游规划》 《风景名胜区规划》 《现代景观设计思潮》 《园林法规》 《园林施工与组织管理》 《三维动画创作 B》 《园林文学》

一、（1）× （2）√√ （3）√× （4）× （5）√ 二、（1）A A （2）D A （3）B A （4）D B （5）C B 三、（1）B D （2）C （3）A

1 Unstacking Here is another wildly fun 6.042 game that's surely about to sweep the nation! You begin with a stack of n boxes. Then you make a sequence of moves. In each move, you divide one stack of boxes into two nonempty stacks. The game ends when you have n stacks, each containing a single box You earn points for each move; in particular, if you divide one stack of height a b into two stacks with heights a and b, then you score

Random walks 1 Random walks a drunkard stumbles out of a bar staggers one step to the right, with a canal lies y steps to his right. Thi I equal p second, he either staggers one step to the left or probability. His home lies r steps to his left, and everal natural questions, including 1. What is the probability that the drunkard arrives safely at home instead of falling into the canal? 2. What is the expected duration of his journey however it ends? The drunkard's meandering path is called a random walk. Random walks are an im- portant subject, because they can model such a wide array of phenomena. For example

Concerning Judge Clarence Thomas Mr. Chairman, Senator Thurmond, members of the committee, my name is Anita F. Hill, and I am a professor of law at the University of Oklahoma. I was born on a farm in Okmulgee County, Oklahoma, in 1956. I am the youngest of 13 children. I had my early education in Okmulgee County. My father, Albert Hill, is a farmer in that area. My mother's name is Irma Hill. She is also a farmer and a housewife

一、单项选择题(每小题1分,共10分) 1.a2.c3.c4.a5.6.a7.c8.c9.c10.a 二、多项选择题(每小题2分,共20分) 1. ABC 2. ABCD 3. ABD 4. ABC 5. BCDE 6. BD 7.AC 8. ABC 9. ABCD 10. BCD