E – 9
File name : SR100DCollege_English_text_0531_final.doc
version : 10/05/31
tanh x
0 ≦
x
< 1 x 10
100
sinh
–1
x
0 ≦
x
< 5 x 10
99
cosh
–1
x
1 ≦ x < 5 x 10
99
tanh
–1
x
0 ≦
x
< 1
log x, ln x
0 < x < 1 x 10
100
10
x
–1 x 10
100
< x < 100
e
x
–1 x 10
100
< x ≦ 230.2585092
x
0 ≦ x < 1 x 10
100
x
2
x
< 1 x 10
50
x
3
x
≦ 2.15443469003 x 10
33
x
-1
x
<1 x 10
100
, x≠0
3
x
x
< 1 x 10
100
X !
0 ≦ x ≦ 69 ( x is an integer)
nPr
0≦r≦n, 0≦n<1 x 10
10
(n,r are integers)
1≦{n!/(n-r)!}<1 x 10
100
nCr
0≦r≦n, 0≦n<1 x 10
10
(n,r are integers)
1≦n!/r!<1 x 10
100
or 1≦{n!/(n-r)!}<1 x 10
100
R P
x
,
y
< 1 x 10
100
22
y+x
< 1 x 10
100
P R
0 ≦ r < 1 x 10
100
θ: same as sin x
DMS
│D│, M, S < 1 x 10
100
, 0 ≦ M, S
eDMS
x
< 1 x 10
100
Decimal Q Sexagesimal Conversions
0
0
׀
0
׀ ׀
≦
x
≦ 9999999
59
׀
59
׀ ׀
x
y
x > 0 : –1 x 10
100
< y log x < 100
x = 0 : y > 0
x < 0 : y = n, m/(2n+1) (m, n are integers)
but –1 x 10
100
< y log ⏐x⏐ < 100
x
y
y > 0 : x ≠ 0, –1 x 10
100
<
x
1
log y < 100
y = 0 : x > 0
y < 0 : x = 2n+1, (2n+1)/m (m≠0, m, n are
integers)
but –1 x 10
100
<
x
1
log ⏐y⏐ < 100
PGCD
-1x10
10
< x, y < 1x10
10
(x, y are integers)
PPCM
0 ≦ x, y < 1x10
10
(x, y are integers)
SIMP
1 ≦ n ≦ 9999 (n is an integer)
A
b
/c
Total of integer, numerator and denominator
must be within 10 digits (includes division
marks)