《多元统计分析》课程教学资源（阅读材料）Matrix Cook Book

• Lead-in Activities • Text Organization • Reading and Writing Skills • Language Points • Guided Practice • Assignment

• Lead-in Activities • Text Organization • Reading & Writing Skills • Language Points • Guided Practice • Assignment

• Lead-in Activities • Text Organization • Reading and Writing Skills • Language Points • Guided Practice • Assignment

• Lead-in Activities • Text Organization • Writing and Reading Skills • Language Points • Guided Practice • Assignment

2015年《中华慈善年鉴》收录了中华慈善总会与全国团体会员中120个慈善组织和《慈善》杂志的年鉴资料。据年鉴记载和统计，2015年中华慈善总会和团体会员中的99个慈善会全年接收慈善款物总额为280.68亿元，2015年支出慈善款物总额为243.50亿元，救助人数为21580.09万人。其中，2015年中华慈善总会共募集社会捐赠款物128.21亿元，其中货币资金2.49亿元，物资折合人民币125.72亿元。同期社会捐赠款物共支出147.29亿元，支出货币资金2.39亿元，发放捐赠物资折合人民币144.90亿元

People and issues – Text (A) Text study Background information Words and expressions Text Looking at the text Working with words Listening Listening 1 Listening 2 Listening 3 Personal view – Text (B) Text study Background information Words and expressions Text Looking at the text Working with words Listening 4 Listening 5 Listening Speaking

Part I Background Information Part II Text & Listening Part III New Words & Expressions Part IV Supplement

Number Theory 1. Six proofs of the infinity of primes …… 3. Binomial coefficients are (almost) never powers 4. Representing numbers as sums of two squares …… 8. Some irrational numbers 9. Three times π2/6 Geometry 10. Hilbert’s third problem: decomposing polyhedra63 11. Lines in the plane and decompositions of graphs …… 15. The Borromean rings don’t exist …… 17. Every large point set has an obtuse angle 18. Borsuk’s conjecture Analysis …… 21. The fundamental theorem of algebra …… 25. Cotangent and the Herglotz trick 26. Buffon’s needle problem Combinatorics 27. Pigeon-hole and double counting …… 32. Cayley’s formula for the number of trees 33. Identities versus bijections …… 36. The Dinitz problem247 37. Permanents and the power of entropy253 …… 41. Communicating without errors 42. The chromatic number of Kneser graphs …… 44. Probability makes counting (sometimes) easy

• Lead-in Activities • Text Organization • Reading & Writing Skills • Language Points • Guided Practice • Assignment