研究生 : 張凱媛 指導教授 : 廖勝強 老師. 3 2 2 2 1 1 1 1 3 2 2 1 1 3 2 2 1
TRANSCRIPT
研究生 : 張凱媛指導教授 : 廖勝強 老師
2v
1v
3v
4v
5v
6v
7v
8v
3 D
2
22
1
1
1
1
1v
3v
2v4v
5v
3
2
2
1
1
3
2
2
1
D
D
D
}v,v,v{D 421
3v
2v4v
5v
D
D
D
1v
3)G(1,2,3
}v,v,v{D 421
0 1 2 3 4 5 6n-1n-2n-3n-4n-5
.................
3 2 2 1 122113 22211n=5k: 3 2 2 1 1
i+3 i+4 i+5 i+6 i+7i+2i+1ii-1..........
)3i(N )3i(N2
i i+1 i+2 i+3 i+4 i+5 i+6 i+7 i+8 i+9
A2 A3A1
3 2 222 1 113 2 2 1 12211
......... .........
)4i(N )4i(N2
n=5k+3:
0 1 2 3 4 5 6n-1n-2n-3n-4n-5n-6
3 2 21 122 11 0 1013 2 2122 1101
3 2 21 122 11 0 103 2 21 1 0 1
n-7n-8
55 4 4
i-2 i-1 i i+1 i+2 i+3 i+4 i+5 i+6 i+7 i+8 i+9 i+10
..................
i-3 i-2 i-1 i i+1 i+2 i+3 i+4 i+5 i+6 i+7 i+8 i+9 i+10
D D
0 1 23
4
5
n-1n-2n-3
n-4
6
7
1a2a
3a
ma1S
2S
mS
Claim 1
Claim 2
Claim 3
Claim 4
0 1 2 3 4 5 6 78k-18k-28k-38k-48k-58k-6
4k4k+14k+24k+34k+44k+54k+64k+74k+8 4k-1 4k-2 4k-3 4k-4 4k-5 4k-6 4k-7
8k-78k-8..................
..................
3 22
2
11
11
3 22
2
11
11 3 22 11
2 11
321 2 1
11 2
2 11
0 1 2 3 4 5 6 7.........
..................
n=8k+2:
4k4k+14k+24k+34k+44k+54k+64k+74k+8 4k-1 4k-2 4k-3 4k-4 4k-5 4k-64k+9
8k-18k-28k-38k-48k-58k-6 8k 8k+1
i i+1 i+2 i+3
2ni 1
2ni 2
2ni 3
2ni
iB
2ni
B
i i+1 i+2 i+3
2ni 1
2ni 2
2ni 3
2ni
iB
2ni
B
.........
.........
.........
.........
0 1 2 3 4
4k-14k4k+14k+24k+34k+4 4k-2 4k-3 4k-4 4k-5
8k-38k-48k-5 8k-28k-1
4k+5
53 22 11
3212 11
i i+1 i+2 i+3 i+48k-1 i+5
2ni1
2ni 2
2ni 3
2ni
iB
.........
.........
.........
.........
1iA
)1i(N )1i(N2
i i+1 i+2 i+3i-1i-2i-3
2ni1
2ni 2
2ni 3
2ni 1
2ni 2
2ni 3
2ni
iB
2ni
B
i+4
)1i(N )1i(N2 )2i(N2
3 22 22 1 1 111 00
3 22 22 1 1111 0
5a i
4a i
3a i
2a i
1a i
ia
1a i
2a i
3a i
4a i
5a i
6a i
7a i
1ia
1a 1i
2a 1i
3a 1i
4a 1i
Claim 2
)6a(N i )6a(N i2
5a i
4a i
3a i
2a i
1a i
ia
1a i
2a i
3a i
4a i
5a i
6a i
7a i 1a 1i
2a 1i
3a 1i
4a 1i
3 22 22 1 1 111 00
3 22 22 1 1111 0
3 22 22 1110 1
5a 1i
6a 1i
7a 1i
8a 1i
9a 1i
10
)6a(N i )6a(N i2