?
? (II)
T<4?1 p×
#
?
?￥T<
? ??A?1-IrYV V?
?3
ó
q?

óqi O1-XS?
k
? ?M?
a
üó?
? a
êu?B?óq
? óq

S,007_
> ?D _Homework_#1.rar”
? M1ó?
?
a
ü??￥vá2?
#
?
k
? ?v [??:
a
ü
Announcement
? Tuesday,Oct,11
T<
? pp,65,2,5
? 1 p
? ó?
? FTP

? deadline
? Monday,Oct,17
1,
ü￥ês
￥
ù
5
??"D
3
200

J" 100Y" 60d"
40}Vp
20?1 ès
￥ ??"
sY1 10 6 4b
CyD
3" ?" |
1 103,63,34,ù 20 ?s
￥b
?9F1 21? ?s
￥b
"Y D
3 1 è 20￥s
￥
|

%1 è 2T
J 103 51.5
Y 63 31.5
d 34 17.0
9 200 100.0 20.0 20
21￥s
￥
1 è 2T
10.815
6.615
3.570
21.000 21
J 103 51.5 10.3
Y 63 31.5 6.3
d 34 17.0 3.4
J 10
Y 6
d 4
10.815 11
7
3

d
"

ü
1
è
F
8
è
“
ü,s
￥ZE


üs
￥￥
·S
|
ê
AZ p
1
n
1
BZ p
2
n
2
? p
1
/n
1
= p
2
/n
2
Hs
￥
ü
? p
1
/n
1
> p
2
/n
2
 ?
ü
A
p
1
/n
1
– p
2
/n
2
~  A￥ '?
ü
p
1
=150,n
1
=10,p
1
/n
1
=15
p
2
=100,n
2
=10,p
2
/n
2
=10
p
1
=1050,n
1
=10,p
1
/n
1
=105
p
2
=1000,n
2
=10,p
2
/n
2
=100
p
1
/n
1
– p
2
/n
2
=5 p
1
/n
1
– p
2
/n
2
=5
?a? A￥?
ü
?Xvv??
ù=?￥ '
?
üM]
“
ü,s
￥ZE
| '
?1M

? p
1
/n
1
> p
2
/n
2
?l

üs
￥Z??
P r
A
,r
B
D
l
),(
/
//
21
22
2211
nnr
np
npnp
A
=
~  A￥M?
ü
?
1?l r
B
(n
1
,n
2
)
|BQ?￥ês
￥1?
￥ês
￥,'
! A,BXsYμ n
1
,n
2
 ?9F 1ù?só A,
^ B
?^
!s
￥ 7
S
H p
1
/n
1
> p
2
/n
2
' A?
ü
?)
[/+? f ?

S p
1
/n
1
> p
2
/n
2
1 ? p
1
/(n
1
+1)> p
2
/n
2
 5??ó A
?9
r
B
(n
1
+1,n
2
)2 ? p
1
/(n
1
+1)< p
2
/n
2

3 ? p
1
/n
1
> p
2
/(n
2
+1) ?9
r
A
(n
1
,n
2
+1)
p
1
/n
1
<p
2
/(n
2
+1)
^?C$
? !ù
? r
B
(n
1
+1,n
2
) < r
A
(n
1
,n
2
+1),5??ó A
? r
B
(n
1
+1,n
2
) >r
A
(n
1
,n
2
+1),5??ó B
? r
B
(n
1
+1,n
2
) < r
A
(n
1
,n
2
+1),?ó A
r
A
,r
B
￥?l
)1()1(
11
2
1
22
2
2
+
<
+ nn
p
nn
p
?5,?ó B
?ó A
,2,1,
)1(
2
=
+
= i
nn
p
Q
ii
i
i
?l
?ó Q′?v￥BZ
w<? mZ
s
￥ê
?ó Q′Kv￥BZ
Q′ZE
mi
nn
p
Q
ii
i
i
,2,1,
)1(
2
"=
+
=
9

?"¨ Q′ZE×?s
￥ 21?ê
? |
1 è￥?
?sX| 19s
￥?8
J" p
1
=103,n
1
=10
Y" p
2
= 63,n
2
= 6
d" p
3
= 34,n
3
= 3
¨ Q′ZEs
￥
? 20? 21
? 20
3.96
43
34
,5.94
76
63
,4.96
1110
103
2
3
2
2
2
1
=
×
==
×
==
×
= QQQ
? 21
32
2
1
,,4.80
1211
103
QQQ =
×
=
]

Q
3
Kv?
21ód"
J"Y"d"
Q′ZE
s
￥2T

ü
$
Q
1
Kv? 20óJ"
éB?￥)
Q′ZE1o1 èF8 èpZE÷
ü
$
ês
￥￥ ?X5
X?,mZ |
sY1 p
1
,p
2
,…,p
m
,:9 |
1
P= p
1
+p
2
+…+p
m
,?s
￥￥9ê1 Nb
! ?X f ?/ mZs
￥￥êsY1 n
1
,n
2
,…,n
m
(1 ??μ n
1
+n
2
+…+n
m
=N)
n
i
?
^ N p
1
,…,p
m
￥f
' n
i
= n
i
(N,p
1
,…,p
m
)
,q
i
=Np
i
/P,i=1,2,…,m,
? q
i
(1?
A ?? n
i
=q
i
q
i
=Np
i
/P? ?1?
H n
i
?
@￥5
,[q
i
]
–
=floor(q
i
) ~ _ ≤ q
i
Z_ |?
[q
i
]
+
=ceil(q
i
) ~ _ ≥ q
i
Z_ |?,
1) [q
i
]
–
≤ n
i
≤ [q
i
]
+
(i=1,2,…,m),
' n
i
A | [q
i
]
–
,[q
i
]
+
-B
2) n
i
(N,p
1
,…,p
m
) ≤ n
i
(N+1,p
1
,…,p
m
) (i=1,2,…,m)
'?9ê9F
H n
i
??h

o1 èF8 èpZE
@ 1??
@ 2
Q′ZE
@ 2
??
@ 1b
7 |Lm
Discussions
2, ú ?ú  ?
S￥
t
3
T [??￥P
R5

?
D
ù
5
?èP
RHq/,ú
9 10? ú /l
H
a
D -ú￥  ??9B?ú
&￥éb
LC??5￥eL÷E
^,2
e5,
aú
3V -úüV
BS? 7
S

2
eòa?r]BS?7?5ú
?
,2
e5,D,ú
&,5
^?B"
y ?
D
?ù p÷z￥P
R5b
ù
5
s

è
M ?ú  ?Dú
μ1
10? ú /l
H (≈16 ú /l
H )ú
/ 2
eò?
R
29? (≈ 9
ü )
>>ú
&￥
ü (é15? (=4.6
ü )
“2
e5,D,10? ú /l
HFBú
&,5?]
?
ú

?
Q?
HW
3
 ?
??"d
2?
?? T¨ ?aú×aú
a?
^a  ……
Kv?? ?Dúé
??
1
P úT
h
?b
ú
è
Q
?

?
?
?

?
è
L
!Dy

1, ?ú  ? d ??Q?  ? d
1
D??  ? d
2
- 21
ddd +=
2,Q?  ? d
1
Dú
v??1
vtd
11
=
t
1
1Q?
HW
3, ?ú
H
P¨Kv?? ? F
FT??? ú?
￥?M ;
F d
2
= m v
2
/2 F ∝ m
2
2
kvd =
O FDú￥é
 m??1
2
1
kvvtd +=
2
1
kvvtd +=
?
Q?
HW t
1
￥ü9′1 0.75
e
?
9
?¨?Y?
ê4￥BF
L=

E k
ú
(? ú /l
H ) (?  /
e )
L = ? ú  ?

?  
9
? ú  ?

?  
? ú
H W

e 
20 29.3 42
44 39.0 1.5
30 44.0 73.5
78 76.6 1.8
40 58.7 116
124 126.2 2.1
50 73.3 173
186 187.8 2.5
60 88.0 248
268 261.4 3.0
70 102.7 343
372 347.1 3.6
80 117.3 464
506 444.8 4.3
9
?ú  ?a ?ú
HW
Kl=eE? k=0.06
22
1
06.075.0 vvkvvtd +=+=
?
ú
(? ú /l
H )
? ú
H W

e 
20 1.5
30 1.8
40 2.1
50 2.5
60 3.0
70 3.6
80 4.3
“2
e5,???1,t
e5,
ú

? ú /l
H 
0~10 10~40 40~60 60~80
t
e  234
Discussions
3,X1 ×￥?
×X 2000
ü? t (s )
? ? 1 2 3 4
ü (
? | 7.16 7.25 7.28 7.17 7.21
| 6.87 6.92 6.95 6.77 6.88
1 | 6.33 6.42 6.48 6.13 6.32
? | 5.87 5.92 5.82 5.73 5.84
Xé l X z b
(
ü ) (
ü ) l/b
7.93 0.293 27.0
9.76 0.356 27.4
11.75 0.574 21.0
18.28 0.610 30.0
bX× w
0
(kg)
}
m
n
16.3
13.6
18.1
14.7

1? ×X
? |a
|a
1 |a? | 4QS=v ×3
+￥?é?1??CD}
m
μ
?1"b
ky ?
D
?￡
U??1"b
ù
5

!
l /b,w
0
/n'?M
?° ×X￥j×

ù5s
s ×X
D}
m
-W￥1"
×X
? -é? ? -éE ? %?
-é? ? ~ }
m￥}?
q
-éE ? ~ ?
à?sD
￡￥
? ?
×X

-é
? ?
}
?
q
}
m

X
×
?
à

-é
E ?
×X

}
m8×a?
qaE ?DX
￥1"?TL?
¨
a￥t ??
py ?
?
?L
!
?|X
v,?
à
 s,?
à8 A, bX× w
0
,
E ? f,}
m
n,}
m?
q p,}
m8× w,X× W
X￥á
+?
1X?M] (l/b1è
),w
0
D n??1
X￥?
+?
2 v
^è
E ? fD sv
2
??1
}
m￥+?3 wM] p?M pD w??1
pw
∝
v (n/s)
1/3
∝
?
y ?
np fv
∝
f sv
2
∝
s
1/2
A
1/3
∝
AW(=w
0
+nw) n
∝
∝
sn
2/3
∝
vn
1/9
∝
1 ×? tn
–1/9
∝
?_
nt
1 7.21
4 6.32
8 5.84
2 6.88
?¨ 4QS=v ×3 +￥
ü (
?
? tn
–1/ 9
é?_
∝
t
n
1 24 8
7.21
6.88
6.32
5.84
b
ant =
nbat loglog +
′
=
11.0
21.7
= nt
D
? F
Kl=eE
Discussions