º º
December 26, 2004
1
1
1.1 . . . . 1
1.2 495
. . . . 1
1.3
495
. . . . 1
1
1.1
1 2 3 4 5
DZ
DZ
N
DZ
N
N
1.2 495
207
720
027
207
207 → 720 − 027 = 693 → 963 − 369 = 594 →
954 − 459 = 495 → 954 − 459 = 495 →
495.
1.3
495
3
N
7, 13 = 7 + 6
20 = 7 + 6 + 7
N
N = 7, 7 + 6 = 13, 7 + 6 + 7 = 20, 7 + 6 + 7 + 6 = 26, · · · .
a 1 = 7, a 2 = 7 + 6 = 13, a 3 = 7 + 6 + 7 = 20, · · ·
N = a n+2
a n+1
a n
a 1 = 7
a 2 = 13
495
abc(a ≥ b ≥ c, a = c),
a b c → abc − cba = a − c − 1 9 10 + c − a.
(a − c − 1) + (10 + c − a) = 9,
990, 891, 782, 693, 594
990 → 990 − 099 = 891 → 981 − 189 = 792
→ 972 − 279 = 693 → 963 − 369 = 594 → 954 − 459 = 495
1.1
1, 2, 3, 4, 5
1, 2, 3.
1.2
1, 2, 3, 4, 5
1, 2, 3, 4, 5, 6, 7.
1.3
1, 2, 3, 4, 5
1, 2, 3, 4, 5, 6, 7, 8, 9.
1.4
DZ DZÆ
1.5
DZ DZ
! "
1, 2, 3, 4, 5
1, 2, 3, · · · , n
DZ
w i (w 0 = 0)
n + 1 = 2 2p (2q + 1)
w i+1 = w i + (n + 1).
10
#$7
#$3
#$10
#$ %% &' #$%
'
3 7 10
”
"”
!
”
”
(
8 × 6
(8, 6)
)""
(8, 6)
" "
" "
(1)
"(2)
"(3)
"" *
DZ+,
8 ×
”
"”
- DZ
a = {a 1 , a 2 , · · · , a n }
n
a i ∈ {1, −1}
b = {b 1 , b 2 , · · · , b n }
⎧ ⎪
⎨
⎪ ⎩
a i+n = a i , b k = n
i=1
a i · a i+k .
a = {1, 1, 1, −1}
b = {0, 0, 0, 4};
a = {−1, −1, −1, 1}
b = {0, 0, 0, 4}.
b = {b 1 , b 2 , · · · , b n }
b 1 = b 2 = b 3 = · · · = b n−1 = 0; b n = n
n
a = {a 1 , a 2 , · · · , a n }
n
a = {1, 1, 1, −1}, {−1, −1, −1, 1}
4
. DZ DZ# /DZ 0