math和mathematics

数学 mathematics, maths（BrE）, math（AmE）被除数 dividend

除数 divisor 商 quotient 等于 equals, is equal to, is equivalent to 大于 is greater than

小于 is lesser than

大于等于 is equal or greater than

小于等于 is equal or lesser than

运算符 operator

数字 digit

数 number

自然数 natural number

公理 axiom

定理 theorem

计算 calculation

运算 operation

证明 prove

假设 hypothesis, hypotheses（pl.）

命题 proposition

算术 arithmetic

加 plus（prep.）, add（v.）, addition（n.）

被加数 augend, summand

加数 addend

和 sum

减 minus（prep.）, subtract（v.）, subtraction（n.）

被减数 minuend

减数 subtrahend

差 remainder

乘 times（prep.）, m

Mathematics HK CE Paper

Form 5

HKCEE 1993 Mathematics II

93 If f(x) = 102x, then f(4y) = 1. A. 104y . B. 102 + 4y . C. 108y . D. 40y . E. 402y .

93 2. If s = n2

[2a + (n 1)d], then d =

A. 2(s an)n(n 1) . B. 2(s an)(n 1) .

C. sn(n 1) . D. as na(n 1) . E.

4(s an)

n(n 1)

.

93 Simplify (x2 3x + 1)(x2 +3x + 1). 3. A. x4 + 1 B. x4 x2 + 1 C. x4 + x2 + 1

D. x4 3x2 23x 1

E. x4 + 3x3 23x2 +3x 1

93 a4. a

b

+

aa

b

.

A. 1a

b

B.

a 2ab b

a b

93-CE-MATHS II C. b a

2a

D. b 2ab aa b

E.

a ba b

93 If 3x2 + ax 5 (bx 1)(2 x) 3, 5.

Mathematics HK CE Paper

Form 5

HKCEE 1993 Mathematics II

93 If f(x) = 102x, then f(4y) = 1. A. 104y . B. 102 + 4y . C. 108y . D. 40y . E. 402y .

93 2. If s = n2

[2a + (n 1)d], then d =

A. 2(s an)n(n 1) . B. 2(s an)(n 1) .

C. sn(n 1) . D. as na(n 1) . E.

4(s an)

n(n 1)

.

93 Simplify (x2 3x + 1)(x2 +3x + 1). 3. A. x4 + 1 B. x4 x2 + 1 C. x4 + x2 + 1

D. x4 3x2 23x 1

E. x4 + 3x3 23x2 +3x 1

93 a4. a

b

+

aa

b

.

A. 1a

b

B.

a 2ab b

a b

93-CE-MATHS II C. b a

2a

D. b 2ab aa b

E.

a ba b

93 If 3x2 + ax 5 (bx 1)(2 x) 3, 5.

Welcome to 7 th Grade Math

Welcome to 7th Grade MathTeacher: Miss Zurich

Welcome to 7 th Grade Math

Agenda

Welcome to 7 th Grade Math

About the Teacher Taught at WAMS since January 2002 Graduated from King’s College, Wilkes-Barre, PA B.S. Mathematics B.A. Computers and Information Systems Currently I am pursuing a M.A. at FDU in Instructional Technology

Welcome to 7 th Grade Math

7th Grade MathPhilosophy McDougal Littell Middle School Math, Course 3, teaches the skills and concepts of Pre-Algebra and Basic Mathematics th

Welcome to 7 th Grade Math

Welcome to 7th Grade MathTeacher: Miss Zurich

Welcome to 7 th Grade Math

Agenda

Welcome to 7 th Grade Math

About the Teacher Taught at WAMS since January 2002 Graduated from King’s College, Wilkes-Barre, PA B.S. Mathematics B.A. Computers and Information Systems Currently I am pursuing a M.A. at FDU in Instructional Technology

Welcome to 7 th Grade Math

7th Grade MathPhilosophy McDougal Littell Middle School Math, Course 3, teaches the skills and concepts of Pre-Algebra and Basic Mathematics th

第一章 算法分析的数学基础

生成函数（母函数）

在进行计数分析时，常常会遇到递推方程，形如：

an=cn-1*an-1 + cn-2*an-2 + … + cr*ar (cr≠0) 求解时有时需要使用生成函数的方法。 e.g. Fibonacci数列：满足关系an=an-1+an-2 （该类数有很多好的性质） 普通与指数生成函数的定义：

设{a0，a1，a2，…，an，…}是某一数域 （e.g. 有理数，实数，复数）上的数的序列， {μ0(x), μ1(x), μ2(x), … ,μn(x), …}

是同一数域上相互独立的函数序列，则称函数 F(x)=a0μ0(x)+ a1μ1(x)+ a2μ2(x)+ … + anμn(x)+ … 是序列{ a0，a1，a2，…，an，…}的普通生成函数 （普母函数）；称函数G(x) =

a0μ0(x)/0! + a1μ1(x)/1! + a2μ2(x)/2! + … +anμn(x)/n! + …是序列{a0，a1，…，a2，…}的指数生成函数， （指母函数，和式形状类似于e的展开形式） 相互独立（independent）的函数序列： 设{μ0(x), μ1(x), μ2(x), … ,μn(x),

Problem-Based Learning (PBL) describes a learning environment where problems drive the learning. That is, learning begins with a problem to be solved, and the problem is posed is such a way that students need to gain new knowledge before they can solve the

Problem-based Learning in Mathematics

Kyeong Ha RohApril 2003

Problem-Based Learning (PBL) describes a learning environment where problems drive the learning. That is, learning begins with a problem to be solved, and the problem is posed is such a way that students need to g

Problem-Based Learning (PBL) describes a learning environment where problems drive the learning. That is, learning begins with a problem to be solved, and the problem is posed is such a way that students need to gain new knowledge before they can solve the

Problem-based Learning in Mathematics

Kyeong Ha RohApril 2003

Problem-Based Learning (PBL) describes a learning environment where problems drive the learning. That is, learning begins with a problem to be solved, and the problem is posed is such a way that students need to g

applied mathematics

FEDERAL PUBLIC SERVICE COMMISSION

COMPETITIVE EXAMINATION FOR RECRUITMENT TO POSTS IN BS-17 UNDER THE FEDERAL GOVERNMENT, 2013

TIME ALLOWED: THREE HOURS MAXIMUM MARKS: 100

NOTE: (i) Candidate must write Q. No. in the Answer Book in accordance with Q. No. in the Q. Paper.

(ii) Attempt FIVE questions in all by selecting TWO questions from SECTION-A and ONE

question from SECTION-B and TWO questions from SECTION-C ALL questions carry EQUAL marks.

(iii) Extra attempt of any question or any part of the att

applied mathematics

FEDERAL PUBLIC SERVICE COMMISSION

COMPETITIVE EXAMINATION FOR RECRUITMENT TO POSTS IN BS-17 UNDER THE FEDERAL GOVERNMENT, 2013

TIME ALLOWED: THREE HOURS MAXIMUM MARKS: 100

NOTE: (i) Candidate must write Q. No. in the Answer Book in accordance with Q. No. in the Q. Paper.

(ii) Attempt FIVE questions in all by selecting TWO questions from SECTION-A and ONE

question from SECTION-B and TWO questions from SECTION-C ALL questions carry EQUAL marks.

(iii) Extra attempt of any question or any part of the att