= = = = = = 1, 000, 000, 000, = = 2 2 = = = = a,
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- あいぞう おえづか
- 5 years ago
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1 , 682, 574, 402 = , two to the hundred n n, n 2, n 3,... n
2 = = = = = = 1, 000, 000, 000, = = 2 2 = = = = a, aq, aq 2,... 2, 2 7, 2 7 2, t km 500 = km 2 10 = = , 1000 (M 9.0) (M 7.9) M 8.4
3 1 0.02g) = 2 2 = = 2 3 = = 1, g) 2 20 = 1, 048, kg) 2 30 = 1, 073, 643, t) ,000 t) t % (1.1) 7 = (1.1) 8 = % 114% 12% 14%
4 50%, 1364% 2. n = 1, 2, 3,... 2 n 2 5 = = = = = =? 2 1 =? 2 2 =? 2 3 =?? 2 3 = = = = = = 1 4 = a n a 0 = 1, a n = 1 a n m, n a m a n = a m+n (a m ) n = a mn
5 m n m, n 1µ = 10 3 mm = 10 6 m 0.1 mµ = m = m m g g g g b g b 2 g, b 3 g,..., n b n g
6 b 2 1 1/ /4 = /1000 ( / % 1/2 1/3 1/2 x (1 + x) (1 + x) 2 = 1.1 1/n 1/n x (1 + x) n = 1.1 b n = a b n a a n p 1/n n 1 + p 1 m/n n (1 + p) m 1 1/3 1/ 3 2 m/n 1/ n 2 m n a x 0 x n 0 > a a > 1 x 0 = a x 1 = (n 1)xn 0 + a nx n 1 0 x 2 = (n 1)xn 1 + a nx n 1 1 x 3, x 4, x 5,... n a y = x n
7 (x, x n ) x n = 2, a = 2 x 0 = 2 x 1 = x x 0 = 3 2 = 1.5 x 2 = x x 1 = = x 3 = x x 2 = = x x 2, x 3, x 4 x 5 x 6 y = x n n m π a n n a n 1 = 1 0 < a < b n a < n b n a m = ( n a) m n 1/a = 1/ n a a > 1, m > n m a < n a n m a = mn a n a n = a a 1/n = n a = a 1/n, a m/n = n a m a a q q = m/n) a p a q a pq = a p+q = (a p ) q a
8 q = m/n a q a p a q = a p+q (a p ) q = a pq a 0 = 1, a p = 1/a p a > 1, p > q a p > a q. 4. a > 0 x y = a x a = 2 y = a x a > 1 a = 2 x = 0 y = 1 x y = a x x y = a x x x + h a x+h = a x a h a x a x (a h 1) x h a x a x (x, a x ) (x + h, a x+h ) y a x 0 < a < 1 a x x a x x x + h a x a x a = 1/b b > 1 a x = 1/b x a = 1 a x 10 % 5 % b 1 + b b/2 ( 1 + b ) 2 = 1 + b + b2 2 4 > 1 + b 1/4 b/4 1/n b/n n
9 b x a = 1 + b > 1 a x x x + h h a x (a h 1) h a x ah 1 h h a x h a h 1 h h a h 1 h a = 1 + b > 1, h = 1/n h = 1/n a h 1 a 1 = b n(a 1/n 1) b b a < n(a1/n 1) < b y = a x h = 1/mn 1/mn 1/n 1/n 1/mn n(a 1/n 1)a 1/n n(a 1/n 1) h h (0, 1) (h, a h ) a (0, 1) b a y = a x x = 0 a, h a h 1 h a e
10 n 1/n 1/n a ( ) n n ( e = lim ) n n n ( e = lim ) n n n e e n n! = 1 2 n n 1! = 1, 2! = 2, 3! = 6, 4! = 24, 5! = 120, 6! = 720, 7! = 5040, 8! = 40320, 9! = , 10! = e e = ! + 1 2! + 1 3! + 1 4! + 1 5! + = n! n ! e ! e e 1 b a = 1 + b = e c c c a log e a 1/n n(a 1/n 1) = n(e c/n 1) = c(n/c)(e c/n 1) h = c/n c eh 1 h
11 h 0 c c = log e (1 + b) H h 2 h/h 2 = e c c = log e 2 2 h/h = e ch/h 1 e ch/h h = e ch/h c H ech/h 1 ch/h ch/h c/h c H = log e 2 H = H g
26 11 20 H20,H25 26 11 20 9 2014in (H24) 9 2014in (H2223,25) 34 (H2223,25) 9 2014in 26 11 20 9 2014in (H2223) (H2223,25) HAPPY 9 2014in (H2225) 5 6 50kg 60kg 17 6 50kg 60kg 71 1 1415 50kg 26 11 20 9 2014in
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67.5km 299.4km 2 2 2 16km 1/6 47km 2 1 1 (m) (km 2 ) 2,700 7.6 9,927 47.1 8,100 13.4 8,120 4.8 52 0.4 1,100 6.0 2,200 3.8 6,982 45.3 4,473 14.4 5,000 9.5 2 (km 2 ) (km) 1 299.4 67.5 2 284.5 38.8 3 267.0
(H8) 1,412 (H9) 40,007 (H15) 30,103 851
(H8) 1,412 (H9) 40,007 (H15) 30,103 851 (H3) 1,466 (H3) 9,862 (H15) 4,450 704 9,795 1,677 18,488 402 44,175 3,824 8,592 853 7,635 1,695 2,202 179 5,127 841 27,631 452 35,173 177 123,797 186 45,727 1,735
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22 25 34 44 10 12 14 15 11 12 16 18 19 20 21 11 12 22 10 23 24 12 25 11 12 2611 27 11 28 10 12 29 10 30 10 31 32 10 11 12 33 10 11 12 34 35 10 12 36 10 12 37 10 38 10 11 12 39 10 11 12 40 11 12 41 10 11
17 12 12 13301515 2F1 P2 1 22 P19 160
136 17 12 12 13301515 2F1 P2 1 22 P19 160 161 15 87 15 P5 26 4 162 10 3 60 1/3 3 1 163 137 138 139 % %.%. (. ) ( ) 48 32 13 40 43 30 42 50 13 99 140 39 12 12 42 55 35 6 79 2004 16 17 39 37 53 13 1 1.2
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2009 IA 5 I 22, 23, 24, 25, 26, (1) Arcsin 1 ( 2 (4) Arccos 1 ) 2 3 (2) Arcsin( 1) (3) Arccos 2 (5) Arctan 1 (6) Arctan ( 3 ) 3 2. n (1) ta
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76 3 B m n AB P m n AP : PB = m : n A P B P AB m : n m < n n AB Q Q m A B AQ : QB = m : n (m n) m > n m n Q AB m : n A B Q P AB Q AB 3. 3 A(1) B(3) C(
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, 1 ( f n (x))dx d dx ( f n (x)) 1 f n (x)dx d dx f n(x) lim f n (x) = [, 1] x f n (x) = n x x 1 f n (x) = x f n (x) = x 1 x n n f n(x) = [, 1] f n (x
![, 1 ( f n (x))dx d dx ( f n (x)) 1 f n (x)dx d dx f n(x) lim f n (x) = [, 1] x f n (x) = n x x 1 f n (x) = x f n (x) = x 1 x n n f n(x) = [, 1] f n (x](/thumbs/93/113428934.jpg ", 1 ( f n (x))dx d dx ( f n (x)) 1 f n (x)dx d dx f n(x) lim f n (x) = [, 1] x f n (x) = n x x 1 f n (x) = x f n (x) = x 1 x n n f n(x) = [, 1] f n (x")
1 1.1 4n 2 x, x 1 2n f n (x) = 4n 2 ( 1 x), 1 x 1 n 2n n, 1 x n n 1 1 f n (x)dx = 1, n = 1, 2,.. 1 lim 1 lim 1 f n (x)dx = 1 lim f n(x) = ( lim f n (x))dx = f n (x)dx 1 ( lim f n (x))dx d dx ( lim f d
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S = 4π dτ dσ gg ij i X µ j X ν η µν η µν g ij g ij = g ij = ( 0 0 ) τ, σ (+, +) τ τ = iτ ds ds = dτ + dσ ds = dτ + dσ δ ij ( ) a =, a = τ b = σ g ij δ ab g g ( +, +,... ) S = 4π S = 4π ( i) = i 4π dτ dσ
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1. 1.1...,. 1.1.1 V, V x, y, x y x + y x + y V,, V x α, αx αx V,, (i) (viii) : x, y, z V, α, β C, (i) x + y = y + x. (ii) (x + y) + z = x + (y + z). 1 (iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y
II (No.2) 2 4,.. (1) (cm) (2) (cm) , (
II (No.1) 1 x 1, x 2,..., x µ = 1 V = 1 k=1 x k (x k µ) 2 k=1 σ = V. V = σ 2 = 1 x 2 k µ 2 k=1 1 µ, V σ. (1) 4, 7, 3, 1, 9, 6 (2) 14, 17, 13, 11, 19, 16 (3) 12, 21, 9, 3, 27, 18 (4) 27.2, 29.3, 29.1, 26.0,
20 6 4 1 4 1.1 1.................................... 4 1.1.1.................................... 4 1.1.2 1................................ 5 1.2................................... 7 1.2.1....................................
1 2 http://www.japan-shop.jp/ 3 4 http://www.japan-shop.jp/ 5 6 http://www.japan-shop.jp/ 7 2,930mm 2,700 mm 2,950mm 2,930mm 2,950mm 2,700mm 2,930mm 2,950mm 2,700mm 8 http://www.japan-shop.jp/ 9 10 http://www.japan-shop.jp/
第18回海岸シンポジウム報告書
2011.6.25 2011.6.26 L1 2011.6.27 L2 2011.7.6 2011.12.7 2011.10-12 2011.9-10 2012.3.9 23 2012.4, 2013.8.30 2012.6.13 2013.9 2011.7-2011.12-2012.4 2011.12.27 2013.9 1m30 1 2 3 4 5 6 m 5.0m 2.0m -5.0m 1.0m
1 911 34/ 22 1012 2/ 20 69 3/ 22 69 1/ 22 69 3/ 22 69 1/ 22 68 3/ 22 68 1/ 3 8 D 0.0900.129mm 0.1300.179mm 0.1800.199mm 0.1000.139mm 0.1400.409mm 0.4101.199mm 0.0900.139mm 0.1400.269mm 0.2700.289mm
液晶ディスプレイ取説TD-E432/TD-E502/TD-E552/TD-E652/TD-E432D/TD-E502D
1 2 3 4 5 6 7 1 2 3 4 5 6 7 2 2 2 1 1 2 9 10 11 12 13 14 15 16 17 1 8 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 9 11 12 13 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 11 12
1 1 36 223 42 14 92 4 3 2 1 4 3 4 3429 13536 5 6 7 8 9 2.4m/ (M) (M) (M) (M) (M) 6.67.3 6.57.2 6.97.6 7.27.8 8.4 5 6 5 6 5 5 74 1,239 0 30 21 ( ) 1,639 3,898 0 1,084 887 2 5 0 2 2 4 22 1 3 1 ( :) 426 1500
1 C 2 C 3 C 4 C 1 C 2 C 3 C
1 e N >. C 40 41 2 >. C 3 >.. C 26 >.. C .mm 4 C 106 e A 107 1 C 2 C 3 C 4 C 1 C 2 C 3 C 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124
(1519) () 1 ( ) () 1 ( ) - 1 - - 2 - (1531) (25) 5 25,000 (25) 5 30,000 25,000 174 3 323 174 3 323 (1532) () 2 () 2-3 - - 4 - (1533) () 1 (2267)204 () (1)(2) () 1 (2267)204 () (1)(2) (3) (3) 840,000 680,000
平成２４年財政投融資計画ＰＤＦ出後８／０１６‐０３０
24 23 28,707,866 2,317,737 26,390,129 29,289,794 2,899,665 24 23 19,084,525 21,036,598 1952,073 24 23 8,603,613 8,393,427 967,631 925,404 202,440 179,834 217,469 219,963 66,716 64,877 3,160,423 2,951,165
[mm] [mm] [mm] 70 60 50 40 30 20 10 1H 0 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 60 50 40 30 20 10 0 18 19 20 21 22 23 24 1 2 3 4
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1 1 1 2 3 4 5 6 7 8 9 e e 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 10mm 150mm 60mm 25mm 40mm 30mm 25 26 27 1 28 29 30 31 32 e e e e e e 33 e 34 35 35 e e e e 36 37 38 38 e e 39 e 1 40 e 41 e 42 43
1 23G 2 1 2 3 4 5 6 7 3 a a b c a 4 1 18G 18G 6 6 3 30 34 2 23G 48 23G 1 25 45 5 20 145mm 20 26 0.6 1.000 0.7 1.000mm a b c a 20 b c 24 28 a c d 3 60 70 / a RC 5 15 b 1 3 c 0.5 1 4 6 5 a 5 1 b a b a d
x, y x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 xy (x y) (x + y) xy (x y) (x y) ( x 2 + xy + y 2) = 15 (x y)
x, y x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 1 1977 x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 xy (x y) (x + y) xy (x y) (x y) ( x 2 + xy + y 2) = 15 (x y) ( x 2 y + xy 2 x 2 2xy y 2) = 15 (x y) (x + y) (xy
春期講座 ~ 極限 1 1, 1 2, 1 3, 1 4,, 1 n, n n {a n } n a n α {a n } α {a n } α lim n an = α n a n α α {a n } {a n } {a n } 1. a n = 2 n {a n } 2, 4, 8, 16,
春期講座 ~ 極限 1 1, 1 2, 1 3, 1 4,, 1 n, n n {a n } n a n α {a n } α {a n } α lim an = α n a n α α {a n } {a n } {a n } 1. a n = 2 n {a n } 2, 4, 8, 16, 32, n a n {a n } {a n } 2. a n = 10n + 1 {a n } lim an
2012 IA 8 I p.3, 2 p.19, 3 p.19, 4 p.22, 5 p.27, 6 p.27, 7 p
2012 IA 8 I 1 10 10 29 1. [0, 1] n x = 1 (n = 1, 2, 3,...) 2 f(x) = n 0 [0, 1] 2. 1 x = 1 (n = 1, 2, 3,...) 2 f(x) = n 0 [0, 1] 1 0 f(x)dx 3. < b < c [, c] b [, c] 4. [, b] f(x) 1 f(x) 1 f(x) [, b] 5.