Dec 16, 2012

MathDB.org mathematical resources (I)

  1. [PDF] 

    8. Farey Fractions

    www.mathdb.org/resource_sharing/number.../se_farey.pdf
    File Format: PDF/Adobe Acrobat
    IMO 2000 TRAINING. 991009. Farey Fractions. Definition. The set of Farey fractions of order n, denoted by n. F , is the set of reduced fractions in the closed ...
  2. [PDF] 

    68. 第八屆培正數學邀請賽，初賽（中四組）

    www.mathdb.org/.../s_puiching08_H4.pdf - Translate this page
    File Format: PDF/Adobe Acrobat
    1. 第八屆培正數學邀請賽. 8th Pui Ching Invitational Mathematics Competition. 初賽（中四組）. Heat Event (Secondary 4). 時限：1 小時15 分. Time allowed: 1 hour ...
  3. [PDF] 

    67. 第八屆培正數學邀請賽，初賽（中三組）

    www.mathdb.org/.../s_puiching08_H3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat
    1. 第八屆培正數學邀請賽. 8th Pui Ching Invitational Mathematics Competition. 初賽（中三組）. Heat Event (Secondary 3). 時限：1 小時15 分. Time allowed: 1 hour ...
  4. [PDF] 

    69. 第八屆培正數學邀請賽，初賽（高中組）

    www.mathdb.org/.../s_puiching08_H5.pdf - Translate this page
    File Format: PDF/Adobe Acrobat
    1. 第八屆培正數學邀請賽. 8th Pui Ching Invitational Mathematics Competition. 初賽（高中組）. Heat Event (Senior Secondary). 時限：1 小時15 分. Time allowed: 1 ...
  5. [PDF] 

    66. 第八屆培正數學邀請賽，初賽（中二組）

    www.mathdb.org/.../s_puiching08_H2.pdf - Translate this page
    File Format: PDF/Adobe Acrobat
    1. 第八屆培正數學邀請賽. 8th Pui Ching Invitational Mathematics Competition. 初賽（中二組）. Heat Event (Secondary 2). 時限：1 小時15 分. Time allowed: 1 hour ...
  6. [PDF] 

    3. Probability

    www.mathdb.org/notes_download/elementary/.../de_D3.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 13. PROBABILITY. In everyday life, we would frequently encounter questions like “What is the chance that our team will win in ...
  7. [PDF] 

    INTRODUCTORY THEORY OF DIFFERENTIATION

    www.mathdb.org/notes_download/elementary/.../ce_C1.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 19. INTRODUCTORY THEORY OF DIFFERENTIATION. This article is written for beginners. No previous knowledge of ...
  8. [PDF] 

    Download PDF

    www.mathdb.org/module/countability/2/worksheet_2.pdf
    File Format: PDF/Adobe Acrobat
    1. Worksheet for Teaching Module. Countability (Lesson 2). Topic: Proof by Contradiction and One-to-One Correspondence. Introduction. In this lesson we will ...
  9. [PDF] 

    number theory unit 3 diophantine equations

    www.mathdb.org/notes_download/elementary/.../ne_N3.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 10. NUMBER THEORY. UNIT 3 DIOPHANTINE EQUATIONS. 1. Introduction. A Diophantine equation is an equation for which ...
  10. [PDF] 

    inequalities unit 1 classical inequalities

    www.mathdb.org/notes_download/elementary/.../ae_A5b.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 15. INEQUALITIES. UNIT 1 CLASSICAL INEQUALITIES. 1. Inequality of the Means. To motivate our discussion, let's look at ...
  11. [PDF] 

    INEQUALITIES

    www.mathdb.org/notes_download/elementary/.../ae_A5d.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 7. INEQUALITIES. UNIT 3 GEOMETRIC INEQUALITIES. A geometric inequality is an inequality which appears in a geometric ...
  12. [PDF] 

    BINOMIAL THEOREM

    www.mathdb.org/notes_download/elementary/.../ae_A3.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 13. BINOMIAL THEOREM. 1. Introduction. When we expand. 2. ( 1) x + and. 3. ( 1) x + , we get. 2. 2. 2. ( 1) ( 1)( 1). 1. 2 1 ...
  13. [PDF] 

    INEQUALITIES

    www.mathdb.org/notes_download/elementary/.../ae_A5c.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 12. INEQUALITIES. UNIT 2 TECHNIQUES IN PROVING INEQUALITIES. In Unit 1 we learnt several classical inequalities.
  14. [PDF] 

    RAMSEY'S THEORY

    www.mathdb.org/notes_download/elementary/.../de_D7.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 1. RAMSEY'S THEORY. You probably have heard of this interesting fact: among any six people in the world, there exist ...
  15. [PDF] 

    PIGEONHOLE PRINCIPLE

    www.mathdb.org/notes_download/elementary/.../de_D4.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 12. PIGEONHOLE PRINCIPLE. Pigeonhole principle is a fundamental but powerful tool in combinatorics. Unlike many other ...
  16. [PDF] 

    SETS AND FUNCTIONS

    www.mathdb.org/notes_download/elementary/.../ae_A1.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 22. SETS AND FUNCTIONS. 1. Introduction of Sets. The concept of sets is the foundation of modern mathematics and ...
  17. [PDF] 

    logic

    www.mathdb.org/notes_download/elementary/.../oe_logic.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 7. LOGIC. One of the most important criteria in studying mathematics is having a logical mind. In the following texts, some ...
  18. [PDF] 

    convergence and limits

    www.mathdb.org/notes_download/elementary/.../ce_C2.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. CONVERGENCE AND LIMITS. 1. Introduction. In “Introductory Theory of Differentiation” we introduced the theory of limits of functions.
  19. [PDF] 

    Number theory unit 1 divisibility

    www.mathdb.org/notes_download/elementary/.../ne_N1.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 14. NUMBER THEORY. UNIT 1 DIVISIBILITY. 1. Divisibility. Definition 1.1. Let a and b be integers, 0 a ≠ . We say that a ...
  20. [PDF] 

    chapter 10 physical treatments of some mathematical problems

    www.mathdb.org/notes_download/elementary/.../ge_G10.pdf
    File Format: PDF/Adobe Acrobat
    Page 1 of 11. CHAPTER 10. PHYSICAL TREATMENTS OF SOME MATHEMATICAL PROBLEMS. Mathematics is the study of the relationships between ...
  21. [PDF] 

    number theory unit 4 some special numbers

    www.mathdb.org/notes_download/elementary/.../ne_N4.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 11. NUMBER THEORY. UNIT 4 SOME SPECIAL NUMBERS. 1. Introduction. In the previous units we have come across ...
  22. [PDF] 

    Download PDF

    www.mathdb.org/module/countability/4/worksheet_4.pdf
    File Format: PDF/Adobe Acrobat
    1. Worksheet for Teaching Module. Countability (Lesson 4). Topic: Countable Sets. Introduction. In the previous lesson we studied finite sets. In this lesson we ...
  23. [PDF] 

    Download PDF

    www.mathdb.org/module/countability/6/worksheet_6.pdf
    File Format: PDF/Adobe Acrobat
    1. Worksheet for Teaching Module. Countability (Lesson 6). Topic: Algebraic Numbers. Introduction. In this lesson we shall apply the theory of countability to ...
  24. [PDF] 

    MATHEMATICAL INDUCTION

    www.mathdb.org/notes_download/elementary/.../ae_A2.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 21. MATHEMATICAL INDUCTION. 1. Introduction. Mathematics distinguishes itself from the other sciences in that it is built ...
  25. [PDF] 

    拉姆賽理論（Ramsey's Theory） - 數學資料庫

    www.mathdb.org/notes.../dc_D7.pdf - Translate this page
    File Format: PDF/Adobe Acrobat
    數學資料庫. 第1 頁，共6 頁. 拉姆賽理論（Ramsey's Theory）. 世界上任何六個人之中，必定有三個是互相認識或互相不認識的。這樣有趣的. 事實相信很多人都會聽過， ...
  26. [PDF] 

    number theory unit 0 introduction

    www.mathdb.org/notes_download/elementary/.../ne_N0.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 3. NUMBER THEORY. UNIT 0 INTRODUCTION. The history of number theory dates back to almost as far as the history of ...
  27. [PDF] 

    3. Baire's theorem

    www.mathdb.org/notes_download/advanced/.../e_real_3.pdf
    File Format: PDF/Adobe Acrobat
    Page 1 of 5. To see how powerful the Baire's theorem is, we demonstrate an application: we shall show that there exist continuous functions that are nowhere ...
  28. [PDF] 

    inequalities unit 0 introduction

    www.mathdb.org/notes_download/elementary/.../ae_A5a.pdf
    File Format: PDF/Adobe Acrobat
    Mathematical Database. Page 1 of 2. INEQUALITIES. UNIT 0 INTRODUCTION. Inequalities are mathematical statements involving one or more inequality signs: ...
  29. [PDF] 

    Introduction

    www.mathdb.org/competition0809/j40.pdf
    File Format: PDF/Adobe Acrobat - View as HTML
    Introduction. In mathematics, Pascal's triangle is a geometric arrangement of the binomial coefficients in a triangle. It is named after Blaise. Pascal in much of the ...
  30. [PDF] 

    Summary:

    www.mathdb.org/competition0809/j22.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Summary: The three classical problems in greek mathematic were squaring the circle, doubling the cube and trisecting an angle. And this essay is about ...
  31. [PDF] 

    小費費微積分長佂

    www.mathdb.org/competition0809/j13.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    第1 頁. - 註：此故事純屬虛構,絕不含任何史實–. -. 那是一個風和日麗的早上，挨過了考試卻挨不過數學課的小費費頓生一個念頭：上. 山拜訪sum 山老人，順道請教他 ...
  32. [PDF] 

    搶

    www.mathdb.org/competition0809/s04.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    ... 「搶」. 相信大家也玩過「搶廿一」這個數學遊戲。遊戲有廿一枚棋子，規則是雙方玩家. 輪流拿取1-4 枚棋子，拿取最後一枚棋子者為勝。要找出這個遊戲的「上策」並 ...
  33. [PDF] 

    Understanding Basic Calculus

    www.mathdb.org/basic_calculus/BasicCalculus.pdf
    File Format: PDF/Adobe Acrobat
    i. Preface. This book is a revised and expanded version of the lecture notes for Basic Calculus and other similar courses offered by the Department of ...
  34. [PDF] 

    皇牌

    www.mathdb.org/competition0809/j01.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    相信大家一定看過魔術,以下是我為 大家介紹的一种紙牌魔術。 當觀眾現楊抽出5張牌時,交給助手,再轉交給魔術師,而2人在其中的过程中是. 沒有任何交流的喔!
  35. [PDF] 

    談幾何原本

    www.mathdb.org/competition0809/s03.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    引言. “如果歐幾里得未能激起你少年時代的熱情，那麼你就不是一個天才的科學. 家。” 愛因斯坦說的很對。一直以來，數學對於我來說，只是一門特別容易的學 ...
  36. [PDF] 

    hour hand, minute hand, second hand

    www.mathdb.org/competition0809/s05.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Question: In a circle clock, what time(s) will let three hands (hour hand, minute hand, second hand) divide the clock in three equal parts? To solve question, we ...
  37. [PDF] 

    1.1.2.3.5.8…… - 數學資料庫

    www.mathdb.org/competition0809/s08.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    頁2 / 15. 目錄：. 一. 引言. 二. 求斐波那契數列1.1.2.3.5.8……的通項. 三. 找出所有. 0. 1. 2. = +. +. +. + n n n. cT. bT. aT. 的通項 i). 0. 4 b2. > - ac ii). 0. 4 b2. = - ac iii). 0 ...
  38. [PDF] 

    Part-time Administrative Assistant Wanted

    www.mathdb.org/2011/Job2011.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Part-time Administrative Assistant Wanted. About Us. Mathematical Database (MD) is a non-profit organization registered under the Societies Ordinance in ...
  39. [PDF] 

    邏輯學和概率－悖論探討考慮一個情況： 在你面前有兩個信封，信封旁 ...

    www.mathdb.org/competition0809/s06.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    邏輯學和概率－悖論探討. 考慮一個情況：. 在你面前有兩個信封，信封旁的紙寫著以下的句子。 「一個信封有１元，另一個有１０元」有1/2 的概率，. 「一個信封有１０元，另 ...
  40. [PDF] 

    Full page photo print

    www.mathdb.org/competition0809/s10.pdf
    File Format: PDF/Adobe Acrobat - View as HTML
    Page 1. lj. LS. L wa. Mm. »I4 ma. LNX. ¿L. UN. HLM: Page 2. Page 3. Page 4. Page 5. Page 6. Page 7.
  41. [PDF] 

    63. 第七屆培正數學邀請賽，決賽 - 數學資料庫

    www.mathdb.org/.../s_puiching07_F5.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第七屆培正數學邀請賽. 7th Pui Ching Invitational Mathematics Competition. 決賽（高中組）. Final Event (Senior Secondary). 時限：2 小時. Time allowed: 2 hours ...
  42. [PDF] 

    Mathematical Excalibur

    www.mathdb.org/resource_sharing/excalibur/v2_n4.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Olympiad Corner. 37th. International. Mathematical. Olympiad, July 5-17, 1996, Mumbai,. India. First Day (10 July, 1996). Time: 4 hours. (Each problem is worth ...
  43. [PDF] 

    中三組

    www.mathdb.org/.../s_puiching11_H3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第十一屆培正數學邀請賽（2012 年）. 11th Pui Ching Invitational Mathematics Competition (2012). 初賽（中三組）. Heat Event (Secondary 3). 時限：1 小時15 分 ...
  44. [PDF] 

    中三組 - 數學資料庫

    www.mathdb.org/.../s_puiching05_F3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第五屆培正數學邀請賽. The 5th Pui Ching Invitational Mathematics Competition. 決賽（中三組）. Final Event (Secondary 3). 時限：2 小時. Time allowed: 2 hours ...
  45. [PDF] 

    85. 第九屆培正數學邀請賽 - 數學資料庫

    www.mathdb.org/.../s_puiching09_F3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第九屆培正數學邀請賽. 9th Pui Ching Invitational Mathematics Competition. 決賽（中三組）. Final Event (Secondary 3). 時限：2 小時. Time allowed: 2 hours ...
  46. [PDF] 

    4th Pui Ching Invitational Mathematics Competition Final Event ...

    www.mathdb.org/resource_sharing/.../s_puiching04_F2.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. 4th Pui Ching Invitational Mathematics Competition. Final Event (Secondary 2). 2. Time allowed: 2 hours. Instructions to Contestants: 1. 100. This paper is ...
  47. [PDF] 

    x

    www.mathdb.org/basic_calculus/teach/Lecture_15.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. Chapter 5: Applications of Differentiation. • Curve Sketching. • Applied Extremum Problems. Objectives. • To sketch graphs of functions (polynomials etc) using ...
  48. [PDF] 

    4th Pui Ching Invitational Mathematics Competition Final Event ...

    www.mathdb.org/resource_sharing/.../s_puiching04_F1.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. 4th Pui Ching Invitational Mathematics Competition. Final Event (Secondary 1). 2. Time allowed: 2 hours. Instructions to Contestants: 1. 100. This paper is ...
  49. [PDF] 

    Olympiad Corner

    www.mathdb.org/resource_sharing/excalibur/v4_n4.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Olympiad Corner. ††°¢£§•¶ß. ®¶©• •©. ¦ ¦ •©¶. •¶ ! ¦"© ###$. %¥ ¦ &' $()&0"¤. 1¶© "&2 •§'&" 3 &•ß ¤4. 56789@ABCDEFGHIPQRSTTPQHUVQEHEWP ...
  50. [PDF] 

    Point Set Combinatorics

    www.mathdb.org/resource_sharing/excalibur/v13_n1.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 13, Number 1. February-April, 2008. Point Set Combinatorics. Kin Y. Li. Olympiad Corner. The 2008 APMO was held in March. Here are the problems.
  51. [PDF] 

    ∫ (2x − 3)( x + 1) d x.

    www.mathdb.org/basic_calculus/teach/Lecture_20.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. Example Find. ∫. (2x − 3)(x. 2. + 1) dx. Wrong solution. ∫. (2x − 3)(x. 2. + 1) dx = ∫. (2x − 3) dx ·. ∫. (x. 2. + 1) dx. = (. 2 · x2. 2. − 3x. ) ·. ( x3. 3. + x. ) + C ...
  52. [PDF] 

    Harmonic Series (I)

    www.mathdb.org/resource_sharing/excalibur/v15_n5.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 15, Number 5. February-April 2011. Harmonic Series (I). Leung Tat-Wing. Olympiad Corner. Below are the problems of the 2011. Canadian Math ...
  53. [PDF] 

    x

    www.mathdb.org/basic_calculus/teach/Lecture_29.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. Strategy for u-substitution. • Consider the integrand as product of two functions. ∫ α(x) · β(x)dx. • Choose u = an expression appearing in one function such ...
  54. [PDF] 

    From How to Solve It to Problem Solving - Department of ...

    www.mathdb.org/resource_sharing/excalibur/v12_n2.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 12, Number 2. May 2007 – August 2007. From How to Solve It to. Problem Solving in Geometry (II). K. K. Kwok. Munsang College (HK Island). Olympiad ...
  55. [PDF] 

    IMO Shortlisted Problems - Department of Mathematics - The Hong ...

    www.mathdb.org/resource_sharing/excalibur/v15_n3.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 15, Number 3. October 2010 - December, 2010. IMO Shortlisted Problems. Kin Y. Li. Olympiad Corner. Below are the problems of the 2010. Chinese ...
  56. [PDF] 

    ∫ f(x)dx ∫ f(t)dt

    www.mathdb.org/basic_calculus/teach/Lecture_19.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. Summary To find. ∫ b a f(x)dx. Introduce F(x) = ∫ x a f(t)dt. Required integral is F(b). It is shown that F (x) = f(x). Definition Let f be a function. Suppose G is a ...
  57. [PDF] 

    中三組

    www.mathdb.org/.../s_puiching10_H3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第十屆培正數學邀請賽. 10th Pui Ching Invitational Mathematics Competition. 初賽（中三組）. Heat Event (Secondary 3). 時限：1 小時15 分. Time allowed: 1 hour ...
  58. [PDF] 

    中三組

    www.mathdb.org/.../s_puiching11_F3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第十一屆培正數學邀請賽（2012 年）. 11th Pui Ching Invitational Mathematics Competition (2012). 決賽（中三組）. Final Event (Secondary 3). 時限：2 小時 ...
  59. [PDF] 

    Mathematical Achievement Contest 2010

    www.mathdb.org/mac/2010/MAC2010_Information_Sheet.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Mathematics Achievement Contest 2010. Appendix I. Information Sheet. The Mathematics Achievement Contest (MAC) is a comprehensive mathematics contest ...
  60. [PDF] 

    中二組

    www.mathdb.org/.../s_puiching11_H2.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第十一屆培正數學邀請賽（2012 年）. 11th Pui Ching Invitational Mathematics Competition (2012). 初賽（中二組）. Heat Event (Secondary 2). 時限：1 小時15 分 ...
  61. [PDF] 

    x

    www.mathdb.org/basic_calculus/teach/Lecture_16.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. Criteria for Increasing / Decreasing Functions. • If f (x) > 0 for all x in (a,b), then f is increasing on (a,b). Definition If f (x0) = 0, we say that x0 is a critical point of f.
  62. [PDF] 

    團體賽（初級組）

    www.mathdb.org/.../s_puiching01_j.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 香港培正中學第一屆數學邀請賽. Pui Ching Middle School 1st Invitational Mathematics Competition. 團體賽（初級組）. Group Event (Junior Section). 時限：45...
  63. [PDF] 

    簡介費馬數 - Department of Mathematics - The Hong Kong ...

    www.mathdb.org/resource.../v7_n4.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 7, Number 4. October 2002 – November 2002. 簡介費馬數. 梁達榮. Olympiad Corner. The 2002 Canadian Mathematical. Olympiad. Problem 1. Let S be ...
  64. [PDF] 

    中一組 - 數學資料庫

    www.mathdb.org/.../s_puiching05_H1.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第五屆培正數學邀請賽. 5th Pui Ching Invitational Mathematics Competition. 初賽（中一組）. Heat Event (Secondary 1). 時限：1 小時15 分. Time allowed: 1 hour ...
  65. [PDF] 

    3. Exercises on invariants

    www.mathdb.org/resource_sharing/.../se_invar_ex.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Invariance Principle (May 13, 2000). 1. Given 0 x and 0 y such that 0. 0. 0. x y. > > . Define, for. 0,1, 2, n = ",. 1. 1. 2. ,. 2 n n. n n n n n n. x y. x y x y. x y. +. +. +. = = ...
  66. [PDF] 

    ¡¡¡¡£¢¢¢¢£¤¦¥¦§¦¨¦©¦ ¦ ¤¦¥¦§¦¨¦©¦ ¦ ¤¦¥¦§¦¨¦©¦ ¦ £ !#"% $&

    www.mathdb.org/.../s_puiching09_H2.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    %"('#)1 02'434"5 67 "(89'#6 @9 AB6 #CEDF6 "(GEHI $&89DFP#CQ "5 "(89'. RS R R R U TTTTI VVVVXWWWW¦YYYYa```` b CE6 d ce34CE'% ...
  67. [PDF] 

    ¡¡¡¡£¢¢¢¢£¤¦¥¦§¦¨¦©¦ ¦ ¤¦¥¦§¦¨¦©¦ ¦ ¤¦¥¦§¦¨¦©¦ ¦ £ !#"% $&

    www.mathdb.org/.../s_puiching09_H4.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    %"('#)1 02'434"5 67 "(89'#6 @9 AB6 #CEDF6 "(GEHI $&89DFP#CQ "5 "(89'. RS R R R U TTTTI VVVV¦WWWWYXXXXa```` b CE6 d ce34CE'% ...
  68. [PDF] 

    計數機程式（適用於Casio fx-3900Pv）

    www.mathdb.org/resource.../sc_3900.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    第1 頁，共8 頁. 計數機程式（適用於Casio fx-3900Pv）. ○ ㆒般程式﹕. 小數轉分數第㆔版（47 個程序步）. Kin 1. 1. X↔Y. K × 2. K × 3. K × 4. K × 5. 1 cos− sin. K × 1 ...
  69. [PDF] 

    Lagrange Interpolation Formula - Department of Mathematics - The ...

    www.mathdb.org/resource_sharing/excalibur/v15_n2.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 15, Number 2. July - September, 2010. Lagrange Interpolation Formula. Kin Y. Li. Olympiad Corner. Below are the problems used in the selection of the ...
  70. [PDF] 

    Double Counting - Department of Mathematics - The Hong Kong ...

    www.mathdb.org/resource_sharing/excalibur/v13_n4.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 13, Number 4. November-December, 2008. Double Counting. Law Ka Ho, Leung Tat Wing and Li Kin Yin. Olympiad Corner. The following were the ...
  71. [PDF] 

    x

    www.mathdb.org/basic_calculus/teach/Lecture_01.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. Course Outline. 0. Revision. Part I. 1. Sets, Real Numbers and Inequalities. - Set notations and Real Number System. - Solving Polynomial Inequalities ...
  72. [PDF] 

    答案

    www.mathdb.org/.../s_puiching11_HA.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    第十一屆培正數學邀請賽（2012 年）. 11th Pui Ching Invitational Mathematics Competition (2012). 初賽答案. Answers to Heat Event. 題號. No. 中一組. Secondary 1...
  73. [PDF] 

    1. 三次方程的判別式

    www.mathdb.org/resource.../sc_d3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    ㆔次方程的判別式. ㆖期我們討論過如何利用卡爾丹公式去解方程. 0. 2. =+. + qpx x. ，. 同學可能會問﹕㆔方次程可否像㆓次方程那樣利用判別式判斷出實. 根的數目？
  74. [PDF] 

    L' Hospital's Rule

    www.mathdb.org/resource_sharing/.../se_hospital_rule.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Page 1 of 4. L' Hospital's Rule. In the following we are going to establish the L' Hospital Rule. For convenience, we will consider right-hand limits at a point a; ...
  75. [PDF] 

    17. 香港培正中學第三屆數學邀請賽，團體賽

    www.mathdb.org/.../s_puiching03_j.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    香港培正中學第三屆數學邀請賽. Pui Ching Middle School 3rd Invitational Mathematics Competition. 團體賽（初級組）. Group Event (Junior Section). 時限：45 分鐘 ...
  76. [PDF] 

    96. 第十屆培正數學邀請賽，決賽（中二） - 數學資料庫

    www.mathdb.org/.../s_puiching10_F2.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第十屆培正數學邀請賽. 10th Pui Ching Invitational Mathematics Competition. 決賽（中二組）. Final Event (Secondary 2). 時限：2 小時. Time allowed: 2 hours ...
  77. [PDF] 

    中三組 - 數學資料庫

    www.mathdb.org/.../s_puiching06_F3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第六屆培正數學邀請賽. 6th Pui Ching Invitational Mathematics Competition. 決賽（中三組）. Final Event (Secondary 3). 時限：2 小時. Time allowed: 2 hours ...
  78. [PDF] 

    Teaching Module (Probability)∗ Teachers' Guide

    www.mathdb.org/module/probability/guide.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Teaching Module (Probability)∗. Teachers' Guide. Mathematical Database (http://www.mathdb.org). Lesson 1 (Basic Concepts and Definitions). To clarify the ...
  79. [PDF] 

    From How to Solve It to Problem Solving in Geometry

    www.mathdb.org/resource_sharing/excalibur/v12_n1.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 12, Number 1. March 2007 – April 2007. From How to Solve It to. Problem Solving in Geometry. K. K. Kwok. Munsang College (HK Island). Olympiad ...
  80. [PDF] 

    中四組

    www.mathdb.org/.../s_puiching07_H4.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第七屆培正數學邀請賽. 7th Pui Ching Invitational Mathematics Competition. 初賽（中四組）. Heat Event (Secondary 4). 時限：1 小時15 分. Time allowed: 1 hour ...
  81. [PDF] 

    Recurrence Relations

    www.mathdb.org/resource_sharing/training/se_rr.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    IMO/KKK/Recurrence Relations/Note/1. Recurrence Relations. In this lecture, we show how to formulate a counting problem in terms of recurrence relations and ...
  82. [PDF] 

    11. 香港培正中學第二屆數學邀請賽，團體賽

    www.mathdb.org/.../s_puiching02_j.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    香港培正中學第二屆數學邀請賽. Pui Ching Middle School 2nd Invitational Mathematics Competition. 團體賽（初級組）. Group Event (Junior Section). 時限：45 分鐘 ...
  83. [PDF] 

    IMO Problems on Functional Equation

    www.mathdb.org/resource_sharing/.../se_imo_function.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Page 1 of 3. IMO Problems on Functional Equation. 1968/5. Let f be a real-valued function defined for all real numbers x such that, for some positive constant a ...
  84. [PDF] 

    中四組

    www.mathdb.org/.../s_puiching11_F4.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第十一屆培正數學邀請賽（2012 年）. 11th Pui Ching Invitational Mathematics Competition (2012). 決賽（中四組）. Final Event (Secondary 4). 時限：2 小時 ...
  85. [PDF] 

    Famous Geometry Theorems - Department of Mathematics - The ...

    www.mathdb.org/resource_sharing/excalibur/v10_n3.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 10, Number 3. August 2005 – September 2005. Famous Geometry Theorems. Kin Y. Li. Olympiad Corner. The 2005 International Mathematical ...
  86. [PDF] 

    六個頂點的多面體 - Department of Mathematics - The Hong Kong ...

    www.mathdb.org/resource_sharing/excalibur/v6_n4.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 6, Number 4. Volume 6, Number 4. October 2001. October 2001 – December 2001. December 2001. December 2001. 六個頂點的多面體 ...
  87. [PDF] 

    Using GW-BASIC for Drawing Mandelbrot Sets

    www.mathdb.org/resource_sharing/excalibur/Eng_v8_n4.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    GW-BASIC. Using GW-BASIC for Drawing Mandelbrot Sets. Mr. LEUNG Chi Kit. The Hong Kong Taoist Association Ching Chung Secondary School. For a given ...
  88. [PDF] 

    Base n Representations - Department of Mathematics - The Hong ...

    www.mathdb.org/resource_sharing/excalibur/v6_n2.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Olympiad Corner. The 2000 Canadian Mathematical. Olympiad. Problem 1. At 12:00 noon, Anne, Beth and Carmen begin running laps around a circular track of ...
  89. [PDF] 

    中四組

    www.mathdb.org/.../s_puiching10_H4.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第十屆培正數學邀請賽. 10th Pui Ching Invitational Mathematics Competition. 初賽（中四組）. Heat Event (Secondary 4). 時限：1 小時15 分. Time allowed: 1 hour ...
  90. [PDF] 

    4th Pui Ching Invitational Mathematics Competition c [ m 4 m 4 m 4 ...

    www.mathdb.org/resource_sharing/.../s_puiching04_H4.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    1. 4th Pui Ching Invitational Mathematics Competition c [ m 4 m 4 m 4 –. Heat Event (Secondary 4). · ß 1 [ · 15. Time allowed: 1 hour 15 minutes. [ C 5. [ C 5 ...
  91. [PDF] 

    高中組 - 數學資料庫

    www.mathdb.org/.../s_puiching05_Fs.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第五屆培正數學邀請賽. The 5th Pui Ching Invitational Mathematics Competition. 決賽（高中組）. Final Event (Senior Secondary). 時限：2 小時. Time allowed: 2 ...
  92. [PDF] 

    3. 香港培正中學第一屆數學邀請賽，個人賽

    www.mathdb.org/.../s_puiching01_f3.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 香港培正中學第一屆數學邀請賽. Pui Ching Middle School 1st Invitational Mathematics Competition. 個人賽（中三組）. Individual Event (Secondary 3). 時限：1...
  93. [PDF] 

    Geometry via Complex Numbers

    www.mathdb.org/resource_sharing/excalibur/v9_n1.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 9, Number 1. January 2004 – April 2004. Geometry via Complex Numbers. Kin Y. Li. Olympiad Corner. The Sixth Hong Kong (China). Mathematical ...
  94. [PDF] 

    Problem Solving I - Department of Mathematics - The Hong Kong ...

    www.mathdb.org/resource_sharing/excalibur/v7_n2.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 7, Number 2. May 2002 – June 2002. Problem Solving I. Kin-Yin LI. Olympiad Corner. The 31st. United States of America. Mathematical Olympiad 2002 ...
  95. [PDF] 

    Difference Operator - Department of Mathematics - The Hong Kong ...

    www.mathdb.org/resource_sharing/excalibur/v11_n5.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 11, Number 5. January 2007 – February 2007. Difference Operator. Kin Y. Li. Olympiad Corner. Below are the 2006 British Math lympiad (Round 2) ...
  96. [PDF] 

    13. 香港培正中學第三屆數學邀請賽，個人賽

    www.mathdb.org/.../s_puiching03_f1.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    香港培正中學第三屆數學邀請賽. Pui Ching Middle School 3rd Invitational Mathematics Competition. 個人賽（中一組）. Individual Event (Secondary 1). 時限：1 ...
  97. [PDF] 

    87. 第九屆培正數學邀請賽，決賽

    www.mathdb.org/.../s_puiching09_F5.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第九屆培正數學邀請賽. 9th Pui Ching Invitational Mathematics Competition. 決賽（高中組）. Final Event (Senior Secondary). 時限：2 小時. Time allowed: 2 hours ...
  98. [PDF] 

    中二組

    www.mathdb.org/.../s_puiching07_H2.pdf - Translate this page
    File Format: PDF/Adobe Acrobat - Quick View
    1. 第七屆培正數學邀請賽. 7th Pui Ching Invitational Mathematics Competition. 初賽（中二組）. Heat Event (Secondary 2). 時限：1 小時15 分. Time allowed: 1 hour ...
  99. [PDF] 

    Jensen's Inequality - Department of Mathematics - The Hong Kong ...

    www.mathdb.org/resource_sharing/excalibur/v5_n4.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Olympiad Corner. The 41st. International Mathematical. Olympiad, July 2000: Time allowed: 4 hours 30 minutes. Each problem is worth 7 points. Problem 1.
  100. [PDF] 

    14. Mathematical Excalibur Vol. 3 No. 4

    www.mathdb.org/resource_sharing/excalibur/v3_n4.pdfShare
    File Format: PDF/Adobe Acrobat - Quick View
    Volume 3, Number 4. Septe mber-N ovember, 199'? Olympiad Corner. British Maiheinaiicaf O{_vmpicsd: Round 1. (January 15, 1997). Time Allowed: 3% hours.

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)