# УўОДКэЎў·ыәЕЎў№«КҪЎўНјРОұнҙп

Reading of Numbers, Signs and Formulas
Т»Ўў Numbers Complex numbers : real Ў« ,imaginary Ў«; rational Ў«, irrational Ў«; interger Ў«, decimals (recurring and terminating) or fractions (proper and improper); 1.Decimals ЁE 0.37 (zero) point three seven , three seven recurring (zero) point three seven repetend three seven 0: reads [ou] , zero, or nought. 2.Fractions Generally: 8
2 3

eight and two over three two thirds two divided by three

Specially:

1/2 a[one] half 1/3 a[one] third 1/4 a[one] quarter

Percent [Per Cent] and Permille [Per mille] 25% twenty five percent 25Ўл twenty five permille 3. Prefixs Prefix tera symbol T value chinese name ЫтЈ¬З§ҫ©Ј¬ХЧХЧ
1

10

12

giga mega kilo hecto deca(deka) dici centi milli micro nano pico feto atto ¶юЎўSigns

G M k h da d c m
?

10 10 10 10 10
10
3

9

6

2

?1

·Ц Ае әБ Оў ПЛЈ¬ДЙ ЙіЈ¬әБПЛЈ¬ЖӨ іҫЈ¬әБЙіЈ¬·Й ГмЈ¬әБіҫЈ¬°ў

10

?2

10 10 10 10 10 10

?3

?6

n p f a

?9

? 12

? 15

? 18

1.Equality and Inequality ЈҪ be equal to equals ЎФ be identically equal to be identical to [with] be equivalent to ЎЦ be approximately equal to, approximately equals Ўч be corresponding to
2

ЎЩ be not equal to does not equal

Јј be less than Јҫ be greater than ? be less than or equal to ? be greater than or equal to Ў¶ be far[much] less than Ў· be far[much] greater than
?
?

be in direct proportion to
1 b

a ?

be in inverse proportion to

2. Positive and negative etc. Ј«: positive [plus] Јӯ: negative [minus] max f (x): maximum value of min f (x): f (x) ЎА: plus or minus positive or negative

minimum value of f (x)

a : a sub n
n

ЎЮ: Infinity
?

: to tend to, to approach

ЎЯ because Ўа therefore ЎО be parallel to ЎН be perpendicular 0oC: zero degree centigrade [Celsius] 32oF:thirty two degree Fahrenheit
3

6ЎҜ six minutes, six feet. 6ЎҜЎҜ six seconds, six inches ЎПA: angle A. 3. Grouping ( ): round brackets, Parentheses [ Parenthesis өҘКэ ]

(a+b): open [left] round bracket a plus b close [right] round bracket. [ ]: square brackets.

Јы Јэ: Braces. Ўҙ Ўө: Angle brackets aЎКA: a is a member of set A. A B: A is a subset of B. A is contained in B. AЎИB: union of sets A and B. AЎЙB: intersection of sets A and B. 4. Operation Ј«: plus Јӯ:minus ЎБ:times ЎВ:over [divided by] әН sum Іо difference »э product
A

ЙМ quotient

УаКэ remainder

: absolute value of A

n!: n factorial

?s
n ?1 ?

5

n

summation of s sub n from n equals one to five Product of a sub n from n equals one to infinity
n

?a
n ?1

n

lim s the limit of S sub n as n tends to infinity (approaches infinity, gets
n? ?

4

arbitrarily large) AЎБB: vector product of A and B. AЎӨB: scalar product of A and B. 5. Function
x [a ] :
n x

x to the nth power x to the power of n

especially

x x

2

: x squared, x square, x to the second power : x cubed, x cube, x to the third power

3

1

n

x[x n] :

the nth root of x, x to the power of one over n
x : the
3

especially:

square root of x

x :

the cube root of x

Logax: the logarithm of x with the base a especially: lgx[log10x] the common [ordinary] logarithm of x

ln x

[ log

e

x]

: the natural logarithm of x

sin cos

?
2

the sine of Pi over two. the cosine of Pi over two the tangent of alpha the cotangent of alpha

?
2

tan ? [ tg ? ]
cot ? [ ctg ? ]

sec ?
cos ec ?

the secant of alpha the cosecant of alpha the differential of f with respect to x
5

df(x)

dt dx
d
2

[ f ' ( x )]
f
2

the first derivative of f with respect to x the second derivative of f with respect to x

[ f ' ' ( x )]

dx

?f ?x
? f
2

the first partial derivative of f with respect to x
2

?x
2

the second partial derivative of f with respect to x the second mixed partial derivative with respect to x and y. the (complete) differential of f with respect to x and y. the indefinite integral of f with respect to x the definite integral of f with respect to x from a to b (over the

? f ?x?y
df ( xy )

?

f ( x ) dx
b

?

( x) dx

a

interval from a to b)

? c ? a f ( x . y ) dxdy

d b

the double integral of f with respect to x from a to b and

with respect to y from c to d ЁҢf: gradient of f. ЁҢЎӨA: divergence of A ЁҢA: curl of A. ЁҢ2f [Ўчf]: Laplacian f. ІОҝјКйДҝЈә Ў¶КэЎў·ыәЕЎў№«КҪЎўНјРОөДУўОДұнҙпЎ· Ј¬¶«ДПҙуС§іц°жЙз Ў¶УўәәҝЖС§јјКхҙКөдЎ· Ј¬№ъ·А№ӨТөіц°жЙз

6

## Па№ШОДөө

КэНјРОөИөДУўОДұнҙп
УўУпКэС§№«КҪЎўКэЧЦЎў·ыәЕөДұнҙп·Ё
КэЧЦ№«КҪөДУўОДұнҙп
іЈУГөДКэС§·ыәЕәН№«КҪөДУўОДұнКҫ·Ё
КэЧЦ·ыәЕУўОДұнҙп
КэС§·ыәЕөДУўОДұнҙп