離散数学 第 4回 集合の記法 (1)：外延的記法と内包的記法
|
|
|
- こうご そや
- 5 years ago
- Views:
Transcription
1 4 (1) :28 ( ) (4) / 35
2 () 1 (1) (4 8 ) 2 (2) (4 15 ) 3 (3) (4 22 ) () (4 29 ) () (5 6 ) 4 (1) (5 13 ) 5 (2) (5 20 ) 6 (4) (5 27 ) 7 (1) (6 3 ) (6 10 ) ( ) (4) / 35
3 () 8 (2) (6 17 ) () (6 24 ) () (7 1 ) 9 (1) (7 8 ) 10 (2) (7 15 ) 11 (3) (7 22 ) 12 (5) (7 29 ) 13 (3) (8 5 ) (8 12 ) ( ) (4) / 35
4 6 10 ( ) 6 A201 1 (4 8 ) 6 (5 27 ) A4 1 ( ) min{100, + } ( ) (4) / 35
5 ( ) 2 1 ( ) 2 ( ) (4) / 35
6 ( ) () ( ) (4) / 35
7 ( ) (4) / 35
8 ( ) { } {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} {,,,, } 1 1 ( ) (4) / 35
9 x A x A x A x A A = {,,,, } A A A A ( ) (4) / 35
10 (1) U = {,,,,,,,,,,,,,,,,,,,,,,, } = ( ) (4) / 35
11 (2) U = {x x (2014 ) } {x x () } : ; ( ) (4) / 35
12 A = {2, 3, 5, 7} = {7, 2, 5, 3} = {n n 10 } { = n n } n 4 17n n 2 247n = 0 () ( ) (4) / 35
13 A = {2, 3, 5, 7} = {7, 2, 5, 3} = {n n 10 } { = n n } n 4 17n n 2 247n = 0 () ( ) (4) / 35
14 A = {2, 3, 5, 7} = {7, 2, 5, 3} = {n n 10 } { = n n } n 4 17n n 2 247n = 0 () ( ) (4) / 35
15 A = {2, 3, 5, 7} = {7, 2, 5, 3} = {n n 10 } { = n n } n 4 17n n 2 247n = 0 () ( ) (4) / 35
16 A = {2, 3, 5, 7} = {7, 2, 5, 3} = {n n 10 } { = n n } n 4 17n n 2 247n = 0 () ( ) (4) / 35
17 2 B = {n 2 n 10 } = {2 2, 3 2, 5 2, 7 2 } = {4, 9, 25, 49} C = {m n m n 10 } = {2 2, 2 3, 2 5, 2 7, 3 2, 3 3, 3 5, 3 7, 5 2, 5 3, 5 5, 5 7, 7 2, 7 3, 7 5, 7 7} = {0, 1, 3, 5, 1, 0, 2, 4, 3, 2, 0, 2, 5, 4, 2, 0} = { 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5} ( ) (4) / 35
18 2 B = {n 2 n 10 } = {2 2, 3 2, 5 2, 7 2 } = {4, 9, 25, 49} C = {m n m n 10 } = {2 2, 2 3, 2 5, 2 7, 3 2, 3 3, 3 5, 3 7, 5 2, 5 3, 5 5, 5 7, 7 2, 7 3, 7 5, 7 7} = {0, 1, 3, 5, 1, 0, 2, 4, 3, 2, 0, 2, 5, 4, 2, 0} = { 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5} ( ) (4) / 35
19 2 B = {n 2 n 10 } = {2 2, 3 2, 5 2, 7 2 } = {4, 9, 25, 49} C = {m n m n 10 } = {2 2, 2 3, 2 5, 2 7, 3 2, 3 3, 3 5, 3 7, 5 2, 5 3, 5 5, 5 7, 7 2, 7 3, 7 5, 7 7} = {0, 1, 3, 5, 1, 0, 2, 4, 3, 2, 0, 2, 5, 4, 2, 0} = { 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5} ( ) (4) / 35
20 2 B = {n 2 n 10 } = {2 2, 3 2, 5 2, 7 2 } = {4, 9, 25, 49} C = {m n m n 10 } = {2 2, 2 3, 2 5, 2 7, 3 2, 3 3, 3 5, 3 7, 5 2, 5 3, 5 5, 5 7, 7 2, 7 3, 7 5, 7 7} = {0, 1, 3, 5, 1, 0, 2, 4, 3, 2, 0, 2, 5, 4, 2, 0} = { 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5} ( ) (4) / 35
21 2 B = {n 2 n 10 } = {2 2, 3 2, 5 2, 7 2 } = {4, 9, 25, 49} C = {m n m n 10 } = {2 2, 2 3, 2 5, 2 7, 3 2, 3 3, 3 5, 3 7, 5 2, 5 3, 5 5, 5 7, 7 2, 7 3, 7 5, 7 7} = {0, 1, 3, 5, 1, 0, 2, 4, 3, 2, 0, 2, 5, 4, 2, 0} = { 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5} ( ) (4) / 35
22 2 B = {n 2 n 10 } = {2 2, 3 2, 5 2, 7 2 } = {4, 9, 25, 49} C = {m n m n 10 } = {2 2, 2 3, 2 5, 2 7, 3 2, 3 3, 3 5, 3 7, 5 2, 5 3, 5 5, 5 7, 7 2, 7 3, 7 5, 7 7} = {0, 1, 3, 5, 1, 0, 2, 4, 3, 2, 0, 2, 5, 4, 2, 0} = { 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5} ( ) (4) / 35
23 2 B = {n 2 n 10 } = {2 2, 3 2, 5 2, 7 2 } = {4, 9, 25, 49} C = {m n m n 10 } = {2 2, 2 3, 2 5, 2 7, 3 2, 3 3, 3 5, 3 7, 5 2, 5 3, 5 5, 5 7, 7 2, 7 3, 7 5, 7 7} = {0, 1, 3, 5, 1, 0, 2, 4, 3, 2, 0, 2, 5, 4, 2, 0} = { 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5} ( ) (4) / 35
24 () N = () Z = () Q = () R = () C = () 2 N 3 N 3 Z 1 2 Z 1 2 Q 2 Q 2 R 1 + 2i R 1 + 2i C ( ) (4) / 35
25 () N = () Z = () Q = () R = () C = () 2 N 3 N 3 Z 1 2 Z 1 2 Q 2 Q 2 R 1 + 2i R 1 + 2i C ( ) (4) / 35
26 () N = () Z = () Q = () R = () C = () 2 N 3 N 3 Z 1 2 Z 1 2 Q 2 Q 2 R 1 + 2i R 1 + 2i C ( ) (4) / 35
27 () N = () Z = () Q = () R = () C = () 2 N 3 N 3 Z 1 2 Z 1 2 Q 2 Q 2 R 1 + 2i R 1 + 2i C ( ) (4) / 35
28 () N = () Z = () Q = () R = () C = () 2 N 3 N 3 Z 1 2 Z 1 2 Q 2 Q 2 R 1 + 2i R 1 + 2i C ( ) (4) / 35
29 {2, 3, 5, 7} ( ) (4) / 35
30 ( ) (4) / 35
31 A, B A B A B = {x x A x B} A = {a, b, c, d, e, f } B = {a, b, c, g, h} A B = {a, b, c} A d e f a b c g h B ( ) (4) / 35
32 A, B A B A B = {x x A x B} A = {a, b, c, d, e, f } B = {a, b, c, g, h} A B = {a, b, c, d, e, f, g, h} A d e f a b c g h B ( ) (4) / 35
33 A, B A B A B = {x x A x B} A = {a, b, c, d, e, f } B = {a, b, c, g, h} A B = {d, e, f } A d e f a b c g h B A BA \ B ( ) (4) / 35
34 1 { } 2 Φ φ ( ) (4) / 35
35 Constructive Solid Geometry Constructive Solid Geometry tree.png ( ) (4) / 35
36 ( ) (4) / 35
37 2 A = {a, b, c, d, e, f } B = {a, b, c, d, e, f, g, h, i} A B A a b c d e f B g h i () A B A B () ( ) (4) / 35
38 ( ) A B x A x B 2 A = {a, b, c, d, e, f } B = {a, b, c, d, e, f, g, h, i} A B A a b c d e f B g h i A B A B A B A B ( ) (4) / 35
39 N = Z = Q = R = C = N Z Z Q Q R R C ( ) (4) / 35
40 2 A B A B B A A = B B A A = B A and B ( ) (4) / 35
41 ( ) (4) / 35
42 1 1 A = {1, 2, 3} B = {2, 3, 4} A B ( 1 ) x {1, 2, 3} x {2, 3, 4} ( ) ( ) ( ) (4) / 35
43 1 1 A = {1, 2, 3} B = {2, 3, 4} A B ( 1 ) x {1, 2, 3} x {2, 3, 4} ( ) ( ) ( ) (4) / 35
44 1 1 A = {1, 2, 3} B = {2, 3, 4} A B ( 1 ) x {1, 2, 3} x {2, 3, 4} ( ) ( ) ( ) (4) / 35
45 1 ( ) 1 A = {1, 2, 3} B = {2, 3, 4} A B 1 A 1 B ( ) (4) / 35
46 2 2 A, B A B A B A, B A B A B A, B x A B x A B () ( ) (4) / 35
47 2 2 A, B A B A B A, B A B A B A, B x A B x A B () ( ) (4) / 35
48 2 2 A, B A B A B A, B A B A B A, B x A B x A B () ( ) (4) / 35
49 2 2 A, B A B A B A, B A B A B A, B x A B x A B () ( ) (4) / 35
50 2 ( ) 2 A, B A B A B A = {1, 2}, B = {2, 3} A B = {1, 2, 3} A B = {2} 1 A B 1 A B A B A B A, B x A B x A B () ( ) (4) / 35
51 2 ( ) 2 A, B A B A B A = {1, 2}, B = {2, 3} A B = {1, 2, 3} A B = {2} 1 A B 1 A B A B A B A, B x A B x A B () ( ) (4) / 35
52 2 ( ) 2 A, B A B A B A = {1, 2}, B = {2, 3} A B = {1, 2, 3} A B = {2} 1 A B 1 A B A B A B A, B x A B x A B () ( ) (4) / 35
53 ( ) (4) / 35
54 ( ) () ( ) (4) / 35
55 ( ) OK OK ( ) (4) / 35
56 ( ) (4) / 35
離散数学 第 2回 集合と論理 (2)：集合と論理の対応
2 (2) okamotoy@uec.ac.jp 2015 4 17 2015 4 15 14:10 ( ) (2) 2015 4 17 1 / 40 ( ) 1 (1) (4 10 ) 2 (2) (4 17 ) 3 (3) (4 24 ) 4 (1) (5 1 ) 5 (2) (5 8 ) 6 (4) (5 15 ) 7 (3) (5 22 ) 8 (1) (5 29 ) 9 (2) (6 5
untitled
351 351 351 351 13.0 0.0 25.8 1.0 0.0 6.3 92.9 0.0 80.5 0.0 1.5 15.9 0.0 3.5 13.1 0.0 30.0 54.8 18.0 0.0 27.5 1.0 0.0 2.5 94.7 0.0 91.7 0.0 1.3 14.7 0.0 3.8 14.4 0.0 25.0 50.5 16.0 0.0 27.5 2.0 0.0 2.5
離散数学 第 1回 論理 (1)：命題論理
1 (1) okamotoy@uecacjp 2012 4 10 2012 4 11 10:57 () (1) 2012 4 10 1 / 53 () (1) 2012 4 10 2 / 53 () 1 (1) (4 10 ) () (4 17 ) 2 (1) (4 24 ) 3 (2) (5 1 ) 4 (2) (5 8 ) 5 (3) (5 15 ) 6 (1) (5 22 ) 7 (2) (5
株主通信：第16期 中間報告書
9 1 20,000 15,000 10,000 5,000 2007/4 2008/4 2009/4 2010/4 2011/4 2012/4 2013/4 01 02 2 3 03 04 4 05 06 5 133,362 206,945 344,360 363,936 67,583 128,114 819 18,583 412,477 846,445 164,935 422,265 1,433,645
P15 P211 1 P1 P4 P2 P3 P4 P17
P15 P211 1 P1 P4 P2 P3 P4 P17 P3 P4 P7 P8 P9 2 1 Q A P17 P17 1 2 3 4 3 5 6 7 8 2 P17 Q A P17 4 1 2 3 4 2 P17 P4 P12 P17 P4 5 5 6 7 8 2 P4 P4 6 1 2 3 4 3 P17 P10 P17 7 5 6 7 8 4 0120-096-991 P17 8 1 2 3
untitled
...1...3 -... 3 -... 3...5 -... 5 -... 5 -... 6 -... 7 -... 7 -... 7 -... 10 -... 17 -... 17 -... 18 -... 20 -... 21 1 TEL 2 3 4 ) ) 5 6 7 8 9 10 11 () (4) () (4) () () 730-0042730-8586 730-0042 730-0042730-8586
MultiWriter 5650C 活用マニュアル
1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 11 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 a b c 30 31 32 C *1 *2 *2 33 2 2 2 2 2 2 2 2 2 34 *1 *2 ± *1 C C 35 36 37 38 39 40 OK 1 2 3 4
A, B, C. (1) A = A. (2) A = B B = A. (3) A = B, B = C A = C. A = B. (3)., f : A B g : B C. g f : A C, A = C. 7.1, A, B,. A = B, A, A A., A, A
91 7,.,, ( ).,,.,.,. 7.1 A B, A B, A = B. 1), 1,.,. 7.1 A, B, 3. (i) A B. (ii) f : A B. (iii) A B. (i) (ii)., 6.9, (ii) (iii).,,,. 1), Ā = B.. A, Ā, Ā,. 92 7 7.2 A, B, C. (1) A = A. (2) A = B B = A. (3)
1% 51% 4% 13% 31% 152 50 47 36 32 21 20 20 16 14 7 3 1
1% 13 13 19 20 1% 80 9% 70 41% 60 34% 30 3% 40 5% 50 6% 51% 2% 47% 3% 1% 14% 10% 23% 49% 1% 51% 4% 13% 31% 152 50 47 36 32 21 20 20 16 14 7 3 1 102 228 OK 228 46 42 17 10 8 6 5 1 14% 25% 1% 3% 7% 27% 23%
A P18 P11 P P1 P4 P17 P3 P4 1
A P18 P11 P P1 P4 P17 P3 P4 1 P3 P4 P7 P8 P9 1 Q A 1 3 4 P17 P17 3 6 7 8 P17 P13 Q A P17 4 1 3 4 P17 P14 P4 P13 P17 P4 6 7 8 P4 P4 6 1 3 4 3 P17 P17 7 6 7 8 4 010-096-991 P17 8 1 3 4 P17 P17 Q A 9 6 7
- 1 - 2 ç 21,464 5.1% 7,743 112 11,260 2,349 36.1% 0.5% 52.5% 10.9% 1,039 0.2% 0 1 84 954 0.0% 0.1% 8.1% 91.8% 2,829 0.7% 1,274 1,035 496 24 45.0% 36.6% 17.5% 0.8% 24,886 5.9% 9,661 717 6,350 8,203 38.8%
untitled
1 (1) (2) (3) (4) (1) (2) (3) (1) (2) (3) (1) (2) (3) (4) (5) (1) (2) (3) (1) (2) 10 11 12 2 2520159 3 (1) (2) (3) (4) (5) (6) 103 59529 600 12 42 4 42 68 53 53 C 30 30 5 56 6 (3) (1) 7 () () (()) () ()
untitled
() 1 / 11 2 / 11 ( ) X X X 3 / 11 26 ()2 1 (d)5 (f)6 芦 4 / 11 5 / 11 6 / 11 (a) (b) 7 / 11 (c) 8 / 11 9 / 11 2011 1 2 1 30 20 20 Y A B Y B A Y B Y Y A B Y BA B A Y A A Y Y 4 X A B2 Y X A B 2/3 3 A B X
1 2 3 1 34060120 1,00040 2,000 1 5 10 50 2014B 305,000140 285 5 6 9 1,838 50 922 78 5025 50 10 1 2
0120-563-506 / 9001800 9001700 123113 0120-860-777 163-8626 6-13-1 Tel.03-6742-3111 http://www.himawari-life.co.jp 1 2 3 1 34060120 1,00040 2,000 1 5 10 50 2014B 305,000140 285 5 6 9 1,838 50 922 78 5025
離散数理工学 第 2回 数え上げの基礎：漸化式の立て方
2 okamotoy@uec.ac.jp 2015 10 20 2015 10 18 15:29 ( ) (2) 2015 10 20 1 / 45 ( ) 1 (10/6) ( ) (10/13) 2 (10/20) 3 ( ) (10/27) (11/3) 4 ( ) (11/10) 5 (11/17) 6 (11/24) 7 (12/1) 8 (12/8) ( ) (2) 2015 10 20
28 3 21 7 10 22 2 2
28 10 2 () 1 28 3 21 7 10 22 2 2 28 1. 2. () 28 6 29 11 3. 4. 5. ) 6. 7. 3 28 5 IC 28 5 28 6 1.5 2 28 7 1 28 9 28 9. OK 7 28 14 28 15 28 22 22 7 10 200 2 22 10 9 100 23 2 12 100 FAX 1 2 TEL FAX 16 28 20
105-117.PDF
47 2013. 1 6 1 1 2 1 1 2 19832002 2008 4 3 1 1 2008 1 3 6 1 1 22 3 A 24 3 3 2 22 910 3 6090 IC 4 5 A 3 143 133 99 27 27 A 6 1 3 6 1 1 C A C A 6 1 2 C B A B C 3 C 2 3 2 2 1 A OK B 2 C 3 3 3 3 1 B A 2 C
untitled
0-1 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0-2 1 1 2 23 3 46 4 714 5 15 0-3
離散数理工学 第 2回 数え上げの基礎：漸化式の立て方
2 okamotoy@uec.ac.jp 2014 10 21 2014 10 29 10:48 ( ) (2) 2014 10 21 1 / 44 ( ) 1 (10/7) ( ) (10/14) 2 (10/21) 3 ( ) (10/28) 4 ( ) (11/4) 5 (11/11) 6 (11/18) 7 (11/25) ( ) (2) 2014 10 21 2 / 44 ( ) 8 (12/2)
第１章
. 23 % 16.52 0.2 17.4 34.63 0.5 36.6 43.56 0.6 46.0 3 94.71 1.2 100 558.69 7.2 7,779.55 100 13. 24 16.1 16.0 16.8 16.6 19.6 21.1 19.4 21.1 13.2 11.5 14.4 12.5 64 57 43 2,056.7 2,056.7 2,260.7 2,204.0 113
2
1 2 3 4 5 6 7 8 9 10 11 12 ( ) RAND [OK] 0 1 13 14 15 16 17 18 19 20 21 1 22 23 24 25 26 27 28 ( ) DDE ( ) ( ) ( ) ( ): ( ): ( ): 29 30 1 1 1 1 31 32 33 34 35 36 37 38 39 40 41 : : : : : ( ) : : 1 42 43
Word 2000 Standard
.1.1 [ ]-[ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [OK] [ ] 1 .1.2 [ ]-[ ] [ ] [ ] [ [ ] [ ][ ] [ ] [ ] [ / ] [OK] [ ] [ ] [ ] [ ] 2 [OK] [ ] [ ] .2.1 [ ]-[ ] [F5] [ ] [ ] [] [ ] [ ] [ ] [ ] 4 ..1 [ ]-[ ] 5 ..2
untitled
20 20 6 30 18 30 20 30 1 1 1 2 3 10 2 2 2 22 6 29 2 7 1 2 11 3 21 2 4 6 3 5 9 6 22 2 2 6 7 2 1 16 10 1 16 10 10 2 4 3 3 A4 3 1 2 3 1 55 8 4 63 11 4 8 8 4 8 12 2 17 11 4 4 4 8 12 3 5 4 8 4 12 5 5 6 19 2
2003 10 2003.10.21 70.400 YES NO NO YES YES NO YES NO YES NO YES NO NO 20 20 50m 12m 12m 0.1 ha 4.0m 6.0m 0.3 ha 4.0m 6.0m 6.0m 0.3 0.6ha 4.5m 6.0m 6.0m 0.6 1.0ha 5.5m 6.5m 6.0m 50m 18 OK a a a a b a
B B () 67
() 66 B B () 67 ) 68 () ) 69 70 21 12 25 NPO 73 (NPO ) 71 72 73 74 75 22 3 18 M 23 ( ) 76 150 21 10 24 26 77 78 79 3 ) 80 81 82 83 OK OK 84 21 10 28 12 () () 85 86 87 TEL 078-362-3169 E-maildanjokatei@pref.hyogo.lg.jp
, 1. x 2 1 = (x 1)(x + 1) x 3 1 = (x 1)(x 2 + x + 1). a 2 b 2 = (a b)(a + b) a 3 b 3 = (a b)(a 2 + ab + b 2 ) 2 2, 2.. x a b b 2. b {( 2 a } b )2 1 =
x n 1 1.,,.,. 2..... 4 = 2 2 12 = 2 2 3 6 = 2 3 14 = 2 7 8 = 2 2 2 15 = 3 5 9 = 3 3 16 = 2 2 2 2 10 = 2 5 18 = 2 3 3 2, 3, 5, 7, 11, 13, 17, 19.,, 2,.,.,.,?.,,. 1 , 1. x 2 1 = (x 1)(x + 1) x 3 1 = (x 1)(x
(1) %
1 (2008.9.20) 3 (1) 2006 92% 200 200 5 6 2006 2006 2 30 5 2006 1 4 5 3 (3 ) 6000 7000 6000 7000 30 NHK 12.5% 24.1% 4 1 10 4 2006 1 3 2006 2006 (2) (a)90 2006 2006 12 3 90 (1) 3 40 50 30 40 40 50 4 5 30
*2015カタログ_ブック.indb
A-35 A-36 A-37 A-38-40 1600-20 0 20 40 60 80 100 1600 1000 600 400 200 100 60 40 20 VG 22 VG 32 VG 46 VG 68 VG 100 36 16 opt 10 5 5-40 -25-10 0 10 30 50 70 90 115 t min = -40 C t max = +115 C 0.5 0.4 0.3
31 gh gw
30 31 gh gw 32 33 1406 1421 640 0 (mm) (mm) MAX1513 MIN349 MIN280 MAX900 gh gw 34 gh gh gw gw gh gh gw gw gh gh gw gw 35 175 176 177 178 179 180 181 195 196 197 198 202 203 2 1 L L L2 L2 L2 L 2 2 1 L L
ZNR ( ) 8/20 µs 8/20 µs (A) (V) ACrms (V) C (V) max.(v) Ip (A) /0 µs 2 ms ERZV ERZV
ZNR ( ) ZNR V E R Z V φ φ φ φ φ φ V φ E R Z V A E H φ φ φ φ φ V 00 Sep. 20 ZNR ( ) ERZV05 @ 8/20 µs (J) @ 8/20 µs (A) (V) ACrms (V) C (V) max.(v) Ip (A) /0 µs 2 ms 40 0.6 0.4 2 25 ERZV07 36 2.5. 0.9 0
平成13年度決算 羽村市財政白書
3 15 3 600 1 60 90 ... 1 1... 1... 1... 1 2... 3... 3... 3... 3... 5 1 13... 5 2... 6 3... 7... 8... 9 4... 11... 11... 11 5... 12... 12... 13 6... 14... 14... 14... 15... 15... 17 1... 17 2... 18 13...
橡●わが街再生プログラム～Final～報告書原稿HP
2 3 4 13 14 5 6 7 Final ha 6 H16 16 1 H16 8 9 10 15 6 12 14 16 3 305 15 6 26 14 16 3 305 15 9 22 14 10 15 45 3 304 15 11 18 ( ) 14 7 15 50 3 304 15 7 29 ( ) 14 16 3 304 15 8 30 ( ) 16 18 30 Tio 15 10 21
2001 11 14 19971219947 2 13 4 1 1 1 1 200 1000 1 1 00 2 3 30 100 3 5000 5 1 100 1 100 4 5 6 1 26,234 12,084 9,142 26,916 7 , 1 1 4 8 3 9 100 1895 3516870 100 10 11 W 14 15 New 16 W 11 14 21 1 W 63
表紙
Q A φ φ φ φ φ Ω Ω Ω Ω φ φ φ φ φ φ φ φ φ φ Ω Ω φ φ φ φ 108,000 122,000 φ φ φ φ φ φ φ φ φ φ φ φ φ φ φ Ω Ω φ φ φ φ φ φ φ φ φ φ Ω Ω φ φ φ φ 140,000 154,000 φ φ φ φ φ φ φ φ φ φ φ φ φ φ φ Ω φ φ φ φ φ φ φ
1
005 11 http://www.hyuki.com/girl/ http://www.hyuki.com/story/tetora.html http://www.hyuki.com/ Hiroshi Yuki c 005, All rights reserved. 1 1 3 (a + b)(a b) = a b (x + y)(x y) = x y a b x y a b x y 4 5 6
- 2 Copyright (C) 2006. All Rights Reserved.
- 2 Copyright (C) 2006. All Rights Reserved. 2-3 Copyright (C) 2006. All Rights Reserved. 70-4 Copyright (C) 2006. All Rights Reserved. ...1...3...7...8 1...9...14...16 2...18...20...21 3...22...23...23...24
漸化式のすべてのパターンを解説しましたー高校数学の達人・河見賢司のサイト
https://www.hmg-gen.com/tuusin.html https://www.hmg-gen.com/tuusin1.html 1 2 OK 3 4 {a n } (1) a 1 = 1, a n+1 a n = 2 (2) a 1 = 3, a n+1 a n = 2n a n a n+1 a n = ( ) a n+1 a n = ( ) a n+1 a n {a n } 1,
e-tax e-tax e-tax e-tax OK 2e-Tax
e-tax e-tax 3-1 e-tax...31 3-2...34...34...35 3-3...36...36...39...40...41...42...44 3-4 e-tax...45 3-5...46...46 2...48 e-tax e-tax e-tax e-tax OK 2e-Tax e-tax e-tax 4-1 16 4 30 e-tax 2 4-2 e-tax e-tax
152 NPO,,
151 NPO NPO NPO FM NPO NPO 152 NPO,, NPO 153 154 NPO NPO 155 156 NPO FAX , NPO 157 158 NPO NPO OB NPO NPO NPO NPO, NPO 159,.,,,,, 160 NPO, NPO NPO NPO NPO PR NPO 161 162 NPO NPO NPO NPO NPO NPO NPO NPO
3 9 3 100 2 10 30 12 1 1 2 2 4 3 9 1 250-1- 3 12 2 2 4 2 16 2-2- -3-8 2 6 10 30 11 30 11 2,500 9 2 2 10-4- 2005 2005 5 50-5- 3 30 FM 43 18 23 730 1700 17 11 3 FM 2 1800 30 3 400 1 1 28 3 4 18.1.28-6- 1
（事務局）
10. JR JR JR OK - 1 - JR.5 JR JR JR JR JR - 2 - NO1 IT 1.5 F PR - 3 - PR - 4 - JR - 5 - - 6 - - 7 - 8 45 JR 11-8 - 5 120 2 40 14 28 20 28 14 20-9 - 45 JR - 10 - JR JR JR JR JR JR JR JR JR JR JR JR JR JR
3 5 10 20 2
28 1 22 82 1989 2011 PHP 9,000 27 4 560 450 110 52 47 23 7 (11 11 3 56 22 1 3 5 10 20 2 60 70 40 50 3 28 90 90 50 45 3 2 30 40 4 40 50 5 10 1 10 3 4 36 5 6 5 3 5 10 10 10 70 70 70 1 50 60 60 20 7 20 22
離散最適化基礎論 第 11回 組合せ最適化と半正定値計画法
11 okamotoy@uec.ac.jp 2019 1 25 2019 1 25 10:59 ( ) (11) 2019 1 25 1 / 38 1 (10/5) 2 (1) (10/12) 3 (2) (10/19) 4 (3) (10/26) (11/2) 5 (1) (11/9) 6 (11/16) 7 (11/23) (11/30) (12/7) ( ) (11) 2019 1 25 2
2006/11/18 02:29 PM file:///users/ks/website/lazyjack2006/html/products/kumi/tmp29czi8xk8o.htm
LazyJack[ ] 2006/11/18 03:52 PM file:///users/ks/desktop/kumi/1hajime.html 2006/11/18 02:29 PM file:///users/ks/website/lazyjack2006/html/products/kumi/tmp29czi8xk8o.htm 2006/11/18 02:30 PM file:///users/ks/website/lazyjack2006/html/products/kumi/tmp2b4ao8xkay.htm
PowerPoint プレゼンテーション
003.10.3 003.10.8 Y 1 0031016 B4(4 3 B4,1 M 0 C,Q 0. M,Q 1.- MQ 003/10/16 10/8 Girder BeamColumn Foundation SlabWall Girder BeamColumn Foundation SlabWall 1.-1 5mm 0 kn/m 3 0.05m=0.5 kn/m 60mm 18 kn/m
Excel97関数編
Excel97 SUM Microsoft Excel 97... 1... 1... 1... 2... 3... 3... 4... 5... 6... 6... 7 SUM... 8... 11 Microsoft Excel 97 AVERAGE MIN MAX SUM IF 2 RANK TODAY ROUND COUNT INT VLOOKUP 1/15 Excel A B C A B
俱楽 FC B1
22 7 26 19 30 20 30 11 50 22 3 2 俱楽 FC B1 22 3 3 22 3 4 22 3 5 70 22 3 6 OK 22 3 7 20 22 3 8 290 22 3 45,000 6,000 52,000 52,000 48,300 5 4 7 15 20 45 9 22 3 10 22 38 20 6 200 300 200 22 3 67,000 B1 B1
koji07-01.dvi
2007 I II III 1, 2, 3, 4, 5, 6, 7 5 10 19 (!) 1938 70 21? 1 1 2 1 2 2 1! 4, 5 1? 50 1 2 1 1 2 2 1?? 2 1 1, 2 1, 2 1, 2, 3,... 3 1, 2 1, 3? 2 1 3 1 2 1 1, 2 2, 3? 2 1 3 2 3 2 k,l m, n k,l m, n kn > ml...?
重力方向に基づくコントローラの向き決定方法
( ) 2/Sep 09 1 ( ) ( ) 3 2 X w, Y w, Z w +X w = +Y w = +Z w = 1 X c, Y c, Z c X c, Y c, Z c X w, Y w, Z w Y c Z c X c 1: X c, Y c, Z c Kentaro Yamaguchi@bandainamcogames.co.jp 1 M M v 0, v 1, v 2 v 0 v
競技スポーツの科学研究 ～ アトランタ五輪を終えて ～ 新潟大学・山崎 健
1997 3 1998 12 sin cos 1997 3 1998 12 1997 3 1998 12 1997 3 1998 12 4 1997 3 1998 12 1964!? 100m 94 100m 100mH 10 100m 1964 1997 3 1998 12 1996 100m 7 0.174 0.14 9 84 1988 200m 25m 1986 1997 3 1998 12
KAGA City Waterworks Vision 1.00 0.90 0.80 0.98 0.79 0.78 0.70 0.60 0.66 0.67 0.69 0.72 0.67 0.50 H21 H22 H23 H24 H25 14.0 12.0 10.0 8.0 6.0 4.0 11.7 11.8 11.8 11.9 10.0 7.7 6.8 5.2 H21 H22
cover
Solid Drill Manual Giga Drill Giga Jet Drill Giga Power Drill Giga Mini Drill 0 1
(1) 1.1
1 1 1.1 1.1.1 1.1 ( ) ( ) ( ) { ( ) ( ) { ( ) ( ) { ( ) ( ) { ( ) ( ) { ( ) ( ) ( ) ( ) ( ) 2 1 1.1.2 (1) 1.1 1.1 3 (2) 1.2 4 1 (3) 1.3 ( ) ( ) (4) 1.1 5 (5) ( ) 1.4 6 1 (6) 1.5 (7) ( ) (8) 1.1 7 1.1.3
2002.N.x.h.L.......g9/20
1 2 3 4 5 6 1 2 3 4 5 8 9 1 11 11 12 13 k 14 l 16 m 17 n 18 o 19 k 2 l 2 m 21 n 21 o 22 p 23 q 23 r 24 24 25 26 27 28 k 28 l 29 m 29 3 31 34 42 44 1, 8, 6, 4, 2, 1,2 1, 8 6 4 2 1, 8, 6, 4, 2, 1,2 1, 8
1 1 1. 19800 2. 2 1. 2. ( ) ( ) 3 1. ( ) ( ) 60 ( ) ( ) 2. ( ) ( ) ( ) ( ) 4 1. 2. 2/32
1 1 1. 19800 2. 2 1. 2. ( ) ( ) 3 1. ( ) ( ) 60 ( ) ( ) 2. ( ) ( ) ( ) ( ) 4 1. 2. 2/32 3. 5 1. 6 1. 2. 3. 7 1. 30 3 20 2. 100 8 1. 2. 100 3. 100 9 1. 10 1. setuzei_gaido@mail.goo.ne.jp 3/32 4/32 5/32
ｽﾗｲﾄﾞ ﾀｲﾄﾙなし
AHP Analytic Hierarchy Process X4 X X4 X4 X4 a b c d AHP 00 ad4 6 2 a b c a b c a b c d 5.5 2 d d a b 5 a c.5 ad 2 6 3 a b a b c d 5.5 2 0.25 c.5 d a a b c d 5.5 2 a a b c d 5.5 2 b c 0.25.5 b c 0.2 2/3
=
2. 2.1 2.2 kuri@ice.uec.ac.jp ( 2007/10/30/16:46) 1 . 1. 1 + 2 = 5. 2. 180. 3. 3 3. 4.. 5.. 2 2.1 1.,,,,. 2., ( ) ( ).,,,, 3.,. 4.,,,. 3 1.,. 1. 1 + 2 = 5. (, ) 2. 180. (, ) 3. 3, 3. (, ) 4.. (, ) 5..
MELSEC-QシリーズからMELSEC iQ-Rシリーズへの移行ガイド
鍵 鍵 (%) 100 90 80 AC120V 70 60 AC132V 50 40 0 10 20 30 40 50 55 ( C) Y 16 12 8 4 0 (35,16) (45,16) 0 10 20 30 40 50 55 X (55,13) (55,10) (%) 100 90 80 AC120V
BBT表2.indd
新製品 新小型タイプ Catalog BA2702-CJD-01 81 8 9 x. キリ L xm 深 7. 29 ストローク :X ブレーキ用コネクタ ( ブレーキ付き軸の場合のみ有り ) 本体長さ :LL 全長 :L 77(8.) 2 9. 1 2 2 2 20 9... 2x 長穴通し 19 Nx0 PxM 深 8 x キリ 2x 長穴通し L 8 1 本体長さ :LL 全長 :L
橡６ 中表紙（教育施設）.PDF
10 i ii 14 1 2 52 53 55 56 57 63 2 3 5 6 13 13 14 14 15 1 3 10 3 4 50 11 7 6 1 45,813.68 19,120.95 3 17,979.75 63,793.43 2,501.74 1,458.27 23 4,226.95 76 2,277.28 17 1,264.41 5 1,768.60 26 2,378.96 9 2,126.92
![[PDF]NISSEI GEARS](/thumbs/39/20080381.jpg "[PDF]NISSEI GEARS")
Microsoft Word - ネオコピー修正（1月11日2013年）.doc
DVD DVD 1 40 1 15000 15000 1 1 50100 35 40 1 40 1 1 1 ( 1000 5 2007200825 5 5 1 1500 5 15 5 5 "" 2 4000 15000 15000 "" 15000 ~35~ 100 35 ~1~ 20072008 5 15000 100 35 5 15000 100 PTA 35 35 ~2~ 50 ~~
Adobe Photoshop PDF
TOKUSHIMA CENTRAL AREA UNION 6 4 24 7 24 5 2541 6 11421 2541120 20 2025 2530 3035 3540 4045 4550 5055 5560 2 3 1 23 26 26 16 4 7 3 9 23 26 28 19 4 7 3 10 1 24 80000 30000 30000 20000 20000 60,000
p-sylow :
p-sylow :15114075 30 2 20 1 2 1.1................................... 2 1.2.................................. 2 1.3.................................. 3 2 3 2.1................................... 3 2.2................................
1 ( ) ( )
1 ( ) ( ) 1 2 3 4 ( ) ( ). ( ) ( ) (1 ) 1 () 5 6 7 8 9 10 ( ) 11 12 ! 13 14 P.7 15 16 17 ( ) (P.47) 17 (P.117) 1116 (P.80) 10 (P.66) ( ) 16 (P.114) 12 (P.91) (P.42) (P.20) (P.23) ( ) 18 (P.125) (P.25)
1 2 3 4 5 8 14 15 21 27
500 Marici s blog http://mariciart.blog54.fc2.com/ 1 2 3 4 5 8 14 15 21 27 LK marici 500 A4 100 500 LK A3 LK LK A4 A4 A4 A4 OK blog marici s blog marici http://mariciart.blog54.fc2.com/
23_33.indd
23 2TB 1TB 6TB 3TB 2TB 3TB 3TB 2TB 2TB 1TB 1TB 500GB 4TB 1TB 1TB 500GB 2TB 2TB 1TB 1TB RT RT RT RT RT RT RT MAC 10. 10. 10.6 10.5 MAC 10. 10. 10.6 10.5 MAC 10. 10.6 10.5 MAC 10. 10. 10.6 10.5 MAC 10. 10.6
ME’scopeVES ユーザーマニュアル
1....2 2....2...4...4...5...7 3....7 4....9 1 2 3 4 5 6 . 13 7 13... (14) OK 14.2. & F&D OK.3. & OK (15). 8 15 Visual SDM 16 9 3D FE 17 4 17 17 1 Iyy J 14 10e-3 30e-6 17e-6 7e9 0.33 2.8e3 3D 3D (Y) OK
30,000 25,000 20,000 20,708 20,832 21,033 21,236 21,197 21,499 21,701 21,848 22,027 22,127 15,000 10,000 5,000 0 H16 H17 H18 H19 H20 H21 H22 H23 H24 H25 m 3 / 9,000 8,000 7,981 7,961 7,562 7,478 7,322
http://yukitohoujyou.net/touroku.html 2000 2008.10.19 mixi mixi PC mixi mixi mixi mixi mixi http://mixi.jp/view_diary.pl?id=xxxxxxxxx&owner_id=xxxxxxxx Mixi Revolution http://tinyurl.com/63v9qa mixi
クリティカルテーマ前編
クロキン 2 1. 2. 2 6 STEP1: STEP1 1: ( )? 2:? 3:? 4:? 5:? 6: 7:? 8:? 9: 10: 11: 12: 13:? 14: 1? 15: 16: 17: 18:? 19:? 20: 21: 22: 23: STEP2 STEP2: ( ) 1. 2. 3.? OK STEP3 STEP3: STEP3-1 yahoo!japan http://www.yahoo.co.jp/
HR-ST700
HR-ST00 MULTI BRAND RCU 3 5 3 5 6 0 8 9 0/ OK/ LPT08-00B 0 50 5 59 6 38 3 8 5 6 3 33 3 8 9 50 5 5 53 5 55 56 58 59 6 63 6 38 0 3 5, 6 66 6 0 5 3 AC00V 5 6 3 5 6 8 9 0! @#$% ^ 38 3 3950 5 6 6 36 8 5 9