T±′?
1êA?*ü??(M"?^? ?G￡4?!7xê
(1) 123
111
(,,) 124
139
=
aaa (2) 123
111
0 11(,,)
101
110
=
aaa
·? (1)
B??(M!7xê?"??
? 11
1
1
1
==
ba è
[ ]
[ ]
12
221
11
1,
0,
1
=?=
babab
bb è
[ ]
[ ]
[ ]
[ ]
13 23
3312
11 22
1,,
2,,3
1
= =?
ba bababb
bb bb è
!7xê ak,123
111
3
2(,,) 10
3
111
3
=?
bbb ê
(2)
B??(M!7xê?"?? 11
1
0
1
1
==
ba
[ ]
[ ]
12
221
11
1
,1 3
2,3
1
=?=
babab
bb
[ ]
[ ]
[ ]
[ ]
13 23
3312
11 22
1
,,13
,,5
4
==
ba bababb
bb bb
!7xê ak 123
111
35
301
5(,,)
231
35
141
35
=
bbb
2ê??-?L ú!7x-?L
(1)
111
23
111
22
111
32
(2)
1 84
9 99
814
999
4 47
9 99
·? (1) 1 ?t> ?G￡M2 )! ?G￡,á !7xL ê
(2) A1?L !￡?t> ?G￡
)! ?G￡èè??!7xè!7xL ê
3êA? A? BF? nL
!7x-?L èA?a AB3 !7x-?L
A?a? ′,AB nL
!7xL è 1T 1T==AABBèè
T TT 11()()===AB AB B A AB B A AB E
AB3 !7xL ê
4ê"?-?L ,X(MUa(MU ?G￡
(1)
123
213
336
(2) 1124 (3) ( )
1
2
21 ( 0)n
n
a
aa aa
a
≠
LM
·? (1) 7 11( 2)( 3)024λλ λλλ = ==?AE
A,X(MU 122,3λλ==ê
8 ' 1=2λ ê,?·?/? ( 2)?=A Ex0,+
1 1 11( 2)
2 2 00~
=
AE k
.?·2? 1
1
1
=
p
1 111( 0)kk≠p íhb 1=2λ,X<F?(MU ?G￡ê
' 2 =3λ ê,?·?/? ( 3)?=A Ex0,+
2 1 21( 3)
2 1 00~
=
AE k
.?·2? 2
1
2
1
=
p
1 222( 0)kk≠p íhb 2 =3λ,X<F?(MU ?G￡ê
(2) 7
1 23
21 3 ( 1)( 9)0
3 36
λ
λ λ λλλ
λ
=? =? +?=
AE
A,X(MU 1230,1,9λλλ= =?=ê
8 ' 1 0λ= êè?·?/? =Ax0è+
123 123 101
213~011~011
336 000 000
=
A k
.?·2? 1
1
1
1
=?
p
111( 0)kk≠p íhb 1 0λ =,X<F?(MU ?G￡,
' 2 1λ =? ê,?·?/? ()+=AEx0è+
223 223 110
223~001~001
337 000 000
+=
AE k
.?·2? 2
1
1
0
=
p
222( 0)kk≠p íhb 2 1λ =?,X<F?(MU ?G￡
' 3 9λ = êè?·?/? ( 9)?=A Ex0è+
110
111 2823
119 2 83 ~01 ~01
22333
00 0 00 0
=
AE k
.?·2? 3
1
1
2
=
p
333( 0)kk≠p íhb 3 9λ =,X<F?(MU ?G￡ê
(3)
2
1121
2
222
2
12
n
n
nnn
a aa aa
aa a aa
aa aa a
λ
λλ
λ
=
AE
L
L
M MOM
L
1222
12
1222
12
()
(,.,) 0
nn
n
n
n
aaa
aaa
λλ
λλ
=? + ++
==
L
22 22
112
1
n
ni
i
aa aaλ
=
∴=+++=∑L,23 0nλλλ====L
' 21
1
n
i
i
aλ
=
=∑êè
( )λ?AE
222
3121
222
132
222
1 2 121
nn
nn
n
a a a aa aa
aa a a a aa
aa aa a a a?
=
LL
LL
M MOM
LL
1
2
1
00
00
~
00
00 00
n
n
nn
aa
aa?
L
L
MMOMM
L
L
anx7?+ t-1G￡èJ? nnxa= èA? 1122 11,,nnxaxaxa===L,
.?·2?
1
2
1
n
a
a
a
=
p M
' 23 0nλλλ====L êè
( )
2
1121 12
2
2122
2
12
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0 0,.,00~
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0 0,.,0
nn
nnn
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aa a aa
aa aa a
=
AE
L
L
M MOM
L
?k
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32
1
231
1
00
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0 0
n
n
aaa
a
a
a
===
pppL
MMM
4DTE? ?-1 s-?L ,X(MU ?G￡
( )
12
21
12
1
0,,,
0
n
n
n
aaa
aa
aa
=
ppp
L
LL
MMM
L
5êA?-?L
1 24
22
4 21
x
=
A a
5
4
y
=
,ìè" x? y
·??L Aa ,ìèí Aa ,X(MU?NM?,ì àè G
1 245 00
2200
421 0 04
xy
λλ
λλ
λλ
==?
AEE
{ 45xy=?=ê
6êA? A? BF? nL
-?L èè ||0≠A èA?a ABa BA,ì?
A?a? 0≠A èí A ?Eú
11() ( )()==A AB A A A BA BAíABa BA,ìê
7êA? 3L
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TTT
123(1,2,2) (2 21) ( 2 12)= =? = èèèèèèè" A
·?
B(MU ?G￡,X?Bü-1 123(,,) ?Eú,
k,
11
123 123 2
3
(,,) (,,)
λ
λ
λ
=
$
?k
1
1 1
123 2 123
3
1221 122
(,,) (,,) 22 1 0 22 1
212 1212
λ
λ
λ
= =
A
k
1021
0 123
2 20
=
A
8êA? 3L
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·?A?
123
245
356
xxx
xxx
xxx
=
A è+
11
1 61
11
=
A è-1
123
245
356
6
6
6
xxx
xxx
xxx
++=
++=?
++=?
7
?3 A,X`G?(MU,
Brí/?-?L ,X?Bün)ú-1 3?AE,X/? 1è
y*ü7 ?|
1 23
245245
3 56 356
3 111
3~3
33
x xx
xxxxxx
x xx xxx
/? 1.
í, ür,X a? bSk 245
356
(1,1,1) (,3,)
(1,1,1) (,,3)
axxx
bxxx
=
8?0?ê
+78?·k 2314651,4,1xxxxxx======ê
k
411
141
114
=
A ê
9êA?"?t!7x,X,ì ?6-?L èú?-?L êí?|-?L
(1)
2 20
212
0 20
(2)
222
254
2 45
·? (1)
2 20
2 1 2 (1 )( 4)( 2)
02
λ
λ λ λλλ
λ
==+
AE
k(MU 1 232,1,4λ λλ=?==ê
'12λ=? êè+
11
2 21
33
401
2302
022
xx
x xk
xx
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è )!(MU ?G￡ ? a,1
13
23
23
=
p
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11
2 22
33
1202
001
12
xx
x xk
xx
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è )!(MU ?G￡ ? a,2
23
13
23
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p
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11
2 23
33
202
302
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xx
x xk
xx
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è )!(MU ?G￡ ? a,3
23
23
13
=?
p
k!7xL 123
1221
(,,) 2123
2 21
==?
pppP
1
200
0 10
0 04
=
P AP
(2) 2
2 22
2 5 4 ( 1) ( 10)
2 45
λ
λ λ λλ
λ
==
AE è
k(MU 1231,10λλλ===
'121λλ==êè+
11
2 212
33
122 0 22
244 10
0 01
xx
x xkk
xx
=?=+
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1
21
15
0
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p
2
2 2 254
1 1 455
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p )!êk 2
255
453
1
=
p
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11
2 23
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8201
5402
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xx
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11
23
2
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p
k!7xL 123
2251
1535
1452(,,)
1535
520
33
==
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1
100
010
0 0 10
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P AP ê
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(2)A? 1098
212
122,() 65
221
= =?+
A AA AA"
·? (1) 3223=AQ rí/?-?L ,
?R!7x,ì ?6-?L
11
22
11
22
=
P
Sk 1 1005==P AP
￠5à 11,kk==A P P A P P
′!8 10 9 10 1 9 1 10 9 1() 5 5 ( 5)=?= =?A A A P P P P P P
11
10 10
10 50 40
0005 05
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P PPP
111 1 40 1 1 2 2 112
1 1 0 0 11 2 2 1122
= = =
(2) à(1)"k!7x,ì ?6-?L
6 11
6 23
611
6 23
610
3 3
=
P
Sk 11
100
010,
0 05
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P AP A P P
10 9 8 101 91 81
821
81
()65 65
( 6 5 ) [ ( 6 5 )]
= [ ( 5 )( )]
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A A A A P P P P P P
3 P P EP
3 (EP
1
8
1 6 0 112
1 5 0 2112
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PPê
11ê*ü-?L A? ?></?`?
_
(1) 2 224424f x xy y xz z yz=+ + + ++
(2) 2227244f x y z xy xz yz=+
(3) 22221 2 3 4 12 14 23 342222fxxxxxxxxxxxx=++++
·? (1)
121
(,,)242
121
x
fxyzy
z
=
ê
(2)
1 12
(,,)112
227
x
fxyzy
z
=
ê
(3)
1
2
1234
3
4
1 121
1132(,,,)
2 310
1 201
x
xf xxxx
x
x
=
12ê"?t!7x ?6èê?`?
_? ?
_
(1) 2221 2 3 232334fxxxxx=+++
(2) 22221 2 3 4 12 14 23 342222fxxxxxxxxxxxx=++++ +
·? (1) `?
_,X-?L
200
032
023
=
A
2 00
E 0 3 2 (2 )(5 )(1 )
0 23
λ
λ λ λ λλ
λ
=? =
A
A,X(MU 1232,5,=1λλλ== ê
'1=2λê,?·?/? ( 2)?=A Ex0è+
000 012
2 012 001
021 000
~=
AE
k
.?·2? 11
11
0 0
00
==
p a
'25λ=êè?·?/? ( 5)?=A Ex0è+
30 0 100
5 0 22 011
0 2 2 000
~=
AE
k
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00
1 12
12
==
p a
'3 1λ=êè?·?/? ()?=AEx0è+
100 100
022 011
022 000
~=
AE
k
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00
1 1 2
12
=? =?
p a
b !7x ?6
11
22
33
100
012 12
01212
xy
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(2)`?
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1101
1 1 10
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1011
=
A
2
1 101
11 10 ( 1)( 3)( 1)
0111
1 0 11
λ
λλ λλλ
λ
λ
= =+
AE
A,X(MU 1 2 341,3,1λ λ λλ=? = ==
'11λ=? êè ?k )!(MU ?G￡
T
1
1111
2222
=
p è
'23λ=êè ?k )!(MU ?G￡
T
2
1111
2222
=
p è
'341λλ==êè ?k )!(MU ?G￡
T
3
1100
22
=
p è
T
4
1100
22
=
p ê
b !7x ?6
11
22
33
44
1110
22 2
1110
22 2
1 11 0
222
1110
22 2
xy
=
è Y 2 2221 2343f y yyy=?+ ++ê
13êA?a`?
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A?a? Arí/?-?L èí Y?!7x-?L TèSk
1
1 2
n
λ
λ
λ
==
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í TT T22211 22 nnf yyyλλλ= = = = + ++x Ax x T BTx y By L
J =y Tx
' 1= = ==yTxTxxêè
G 22212 1nyyy+++=L G22212 1nyyy+++=L
1
22
111()nn yfyyλλλ==++=L ?? ?? ê
kA?ê
14ê??`?
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(1) 2221 2 3 12 136422f x x x xx xx=++
(2) 22221 2 3 4 12 13 14 24 343919242612f x x x x xx xx xx xx xx=+++?++
·? (1)
211
1 60
104
=?
A,
11 20a =?<è
21 110
16
=>
è
211
1 60 380
104
=?<
è
fBónê
(2)
1 121
1303
2096
1 3 6 19
=
A è11 10a =>è 114013?=>?,
1 12
13060
2 09
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f!7nê
15êA? U ?Eú-?L è A=UTUèA?a Tf = x Ax!7n`?
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A?a?A?
1121
12
12
(,,,)
n
n
n n nn
aaa
aaa
==
U aaa
L
LLL
L
è
1
n
x
x
=
xMè
TTTT()()f===x Ax x U Ux Ux Ux
111
2112
111 1 211 2 11
11
...
...(,..,...,...,..,)
...
nn
nn
nn nn n nnn
n nnn
ax ax
ax axaxaxaxaxaxax
ax ax
++
++= ++ ++ ++?
++
M
222
111 1 211 2 11(,.,) (,.,),.,(,.,) 0nn nn n nnnaxaxaxax axax= ++ + ++ ++ ++ ≥ê
81“=0”?0?èí
111
11
..,0
..,0
nn
n nnn
ax ax
ax ax
++=
++=?
M ?0?ê
Gí??
1
1
n
x
x
x
=
x M S 11 22,.,nnxxx+++=...0?0?ê
í 12,,...,n.,.4??,ìG,U,X/??b nèí Uá ?EúèaNl?{*ó-ˉ,òê
b 0f > ?0?ê Tf = x Ax!7n`?
_ê
16êA?í/?-?L A!7n-?L èA?a, ü ?Eú-?L UèS A=UTU?
A?a? A!7nèí-?L A$μ/?èèJ(MU<!7ê
á|A? 1,...,nλλJ(MUè 0 1,...,i inλ >=
+n)ú 8-1è, ü?!7x-?L P
S
1
T 2
n
λ
λ
λ
==
PAP O
11
T22
nn
λλ
λλ
=×=
QQOO
? ′ P!7x-?L èí P ?Eúè 1T? =PPê
1 TTT()()==A PQQ P PQ PQ ê
?=U PQèU ?Eú,í T=A UU,
17ê?-1 3L
-?L A,X(MU 1è 1è?2è" 2| |,| 2 |,| 2 3 |? + +?AEAEA AE
18êA? 3L
-?L A,X(MU?1è 0è 2è" 2||++A AE
1êA?*ü??(M"?^? ?G￡4?!7xê
(1) 123
111
(,,) 124
139
=
aaa (2) 123
111
0 11(,,)
101
110
=
aaa
·? (1)
B??(M!7xê?"??
? 11
1
1
1
==
ba è
[ ]
[ ]
12
221
11
1,
0,
1
=?=
babab
bb è
[ ]
[ ]
[ ]
[ ]
13 23
3312
11 22
1,,
2,,3
1
= =?
ba bababb
bb bb è
!7xê ak,123
111
3
2(,,) 10
3
111
3
=?
bbb ê
(2)
B??(M!7xê?"?? 11
1
0
1
1
==
ba
[ ]
[ ]
12
221
11
1
,1 3
2,3
1
=?=
babab
bb
[ ]
[ ]
[ ]
[ ]
13 23
3312
11 22
1
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4
==
ba bababb
bb bb
!7xê ak 123
111
35
301
5(,,)
231
35
141
35
=
bbb
2ê??-?L ú!7x-?L
(1)
111
23
111
22
111
32
(2)
1 84
9 99
814
999
4 47
9 99
·? (1) 1 ?t> ?G￡M2 )! ?G￡,á !7xL ê
(2) A1?L !￡?t> ?G￡
)! ?G￡èè??!7xè!7xL ê
3êA? A? BF? nL
!7x-?L èA?a AB3 !7x-?L
A?a? ′,AB nL
!7xL è 1T 1T==AABBèè
T TT 11()()===AB AB B A AB B A AB E
AB3 !7xL ê
4ê"?-?L ,X(MUa(MU ?G￡
(1)
123
213
336
(2) 1124 (3) ( )
1
2
21 ( 0)n
n
a
aa aa
a
≠
LM
·? (1) 7 11( 2)( 3)024λλ λλλ = ==?AE
A,X(MU 122,3λλ==ê
8 ' 1=2λ ê,?·?/? ( 2)?=A Ex0,+
1 1 11( 2)
2 2 00~
=
AE k
.?·2? 1
1
1
=
p
1 111( 0)kk≠p íhb 1=2λ,X<F?(MU ?G￡ê
' 2 =3λ ê,?·?/? ( 3)?=A Ex0,+
2 1 21( 3)
2 1 00~
=
AE k
.?·2? 2
1
2
1
=
p
1 222( 0)kk≠p íhb 2 =3λ,X<F?(MU ?G￡ê
(2) 7
1 23
21 3 ( 1)( 9)0
3 36
λ
λ λ λλλ
λ
=? =? +?=
AE
A,X(MU 1230,1,9λλλ= =?=ê
8 ' 1 0λ= êè?·?/? =Ax0è+
123 123 101
213~011~011
336 000 000
=
A k
.?·2? 1
1
1
1
=?
p
111( 0)kk≠p íhb 1 0λ =,X<F?(MU ?G￡,
' 2 1λ =? ê,?·?/? ()+=AEx0è+
223 223 110
223~001~001
337 000 000
+=
AE k
.?·2? 2
1
1
0
=
p
222( 0)kk≠p íhb 2 1λ =?,X<F?(MU ?G￡
' 3 9λ = êè?·?/? ( 9)?=A Ex0è+
110
111 2823
119 2 83 ~01 ~01
22333
00 0 00 0
=
AE k
.?·2? 3
1
1
2
=
p
333( 0)kk≠p íhb 3 9λ =,X<F?(MU ?G￡ê
(3)
2
1121
2
222
2
12
n
n
nnn
a aa aa
aa a aa
aa aa a
λ
λλ
λ
=
AE
L
L
M MOM
L
1222
12
1222
12
()
(,.,) 0
nn
n
n
n
aaa
aaa
λλ
λλ
=? + ++
==
L
22 22
112
1
n
ni
i
aa aaλ
=
∴=+++=∑L,23 0nλλλ====L
' 21
1
n
i
i
aλ
=
=∑êè
( )λ?AE
222
3121
222
132
222
1 2 121
nn
nn
n
a a a aa aa
aa a a a aa
aa aa a a a?
=
LL
LL
M MOM
LL
1
2
1
00
00
~
00
00 00
n
n
nn
aa
aa?
L
L
MMOMM
L
L
anx7?+ t-1G￡èJ? nnxa= èA? 1122 11,,nnxaxaxa===L,
.?·2?
1
2
1
n
a
a
a
=
p M
' 23 0nλλλ====L êè
( )
2
1121 12
2
2122
2
12
...
0 0,.,00~
...,..,..,..
0 0,.,0
nn
nnn
a aa aa aaa
aa a aa
aa aa a
=
AE
L
L
M MOM
L
?k
.?·2?
32
1
231
1
00
,,,00
0 0
n
n
aaa
a
a
a
===
pppL
MMM
4DTE? ?-1 s-?L ,X(MU ?G￡
( )
12
21
12
1
0,,,
0
n
n
n
aaa
aa
aa
=
ppp
L
LL
MMM
L
5êA?-?L
1 24
22
4 21
x
=
A a
5
4
y
=
,ìè" x? y
·??L Aa ,ìèí Aa ,X(MU?NM?,ì àè G
1 245 00
2200
421 0 04
xy
λλ
λλ
λλ
==?
AEE
{ 45xy=?=ê
6êA? A? BF? nL
-?L èè ||0≠A èA?a ABa BA,ì?
A?a? 0≠A èí A ?Eú
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