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8x16階K=1,2,3幻矩陣B(由正負的1~128組成)
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| -49 |
50 |
-105 |
106 |
128 |
-127 |
40 |
-39 |
-85 |
86 |
-13 |
14 |
28 |
-27 |
68 |
-67 |
| 24 |
-23 |
80 |
-79 |
-89 |
90 |
-1 |
2 |
116 |
-115 |
44 |
-43 |
-61 |
62 |
-101 |
102 |
| 46 |
-45 |
118 |
-117 |
-99 |
100 |
-59 |
60 |
74 |
-73 |
18 |
-17 |
-7 |
8 |
-95 |
96 |
| -11 |
12 |
-83 |
84 |
70 |
-69 |
30 |
-29 |
-111 |
112 |
-55 |
56 |
34 |
-33 |
122 |
-121 |
| -103 |
104 |
-63 |
64 |
42 |
-41 |
114 |
-113 |
-3 |
4 |
-91 |
92 |
78 |
-77 |
22 |
-21 |
| 66 |
-65 |
26 |
-25 |
-15 |
16 |
-87 |
88 |
38 |
-37 |
126 |
-125 |
-107 |
108 |
-51 |
52 |
| 124 |
-123 |
36 |
-35 |
-53 |
54 |
-109 |
110 |
32 |
-31 |
72 |
-71 |
-81 |
82 |
-9 |
10 |
| -93 |
94 |
-5 |
6 |
20 |
-19 |
76 |
-75 |
-57 |
58 |
-97 |
98 |
120 |
-119 |
48 |
-47 |
說明:
(1) 組成數: 正負的1~128
(2) 將綠格(含負數的格)看成K=1,2,3得負數時
K=1,行得8,依序每兩列(共8份)也是8, 有別於8x16階K=1,2,3幻矩陣A(由正負的1~128組成)
K=2, 行得1032,依序每兩列(共8份)也是1032, 有別於8x16階K=1,2,3幻矩陣A(由正負的1~128組成)
K=3, 行得132608,依序每兩列(共8份)也是132608, 有別於8x16階K=1,2,3幻矩陣A(由正負的1~128組成)
特別指出:矩陣的兩對角線也是K=1,2,3
如-49 k +50 k -105 k +106 k +128 k -127 k +40 k -39 k -85 k +86 k -13 k +14 k +28 k -27 k +68 k -67 k
=24 k -23 k +80 k -79 k -89 k +90 k -1 k +2 k +116 k -115 k +44 k -43 k -61 k +62 k -101 k +102 k
=-49 k +50 k +80 k -79 k -99 k +100 k +30 k -29 k -3 k +4 k +126 k -125 k -81 k +82 k +48 k -47 k
=-93 k +94 k +36 k -35 k -15 k +16 k +114 k -113 k -111 k +112 k +18 k -17 k -61 k +62 k +68 k -67 k
=-49 k +50 k +24 k -23 k +46 k -45 k -11 k +12 k -103 k +104 k +66 k -65 k +124 k -123 k -93 k +94 k
=-105 k +106 k +80 k -79 k +118 k -117 k -83 k +84 k -63 k +64 k +26 k -25 k +36 k -35 k -5 k +6 k
=(k=1得8, k=2得1032, k=3得132608)
(3) 將負數看成正數時, 是一幅K=1,2的幻矩陣 且行的兩數差是1,性質等同à8x16階k=1,2幻矩陣3(行的兩數之差:1)
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发表于: 2007-06-03,修改于: 2007-06-03 22:52,已浏览361次,有评论0条
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