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1 ( )
2 δ x V A A V V + x x δ A + x x δ x A V Q AV A+ δx V + δx V A A V AV + A δx+ V δx+ δx V A A δx+ V δx V A A + V ( ) ( AV ) AV Constant Q
3 1 Text 7.1 ( ) P1 7 7.P8 5 D v g z x + x 1 v ( v+ x ) g + x z z + x L
4 v z 1 v z z+ x+ + x+ v+ x g g + x v v v v + v x+ x v + v x x v z+ + + g v z g Constant
5 v z g Constant D L
6 v z+ + + g z i, I f : v + i + + I f g v I f i I g e :
7 Cezy I f v CR Manning I f nv R 4 v i+ + + I f g
8 Cezy Manning v v i g C R v n v i g R
9 Q Q Av v A v Q 1 Q A Q A g g A g A ga Q A Q A A B + ga ga B v v + i + + g C R Q A A B v i ga B C R Q A Q A B Q 1 i + ga ga B C A R
10 Cezy Q A B Q i + Q A 1 ga ga B x C A R Manning Q A B n Q i + ga B A R Q A 1 ga 4/
11 B A A B, R,, B Q A B Q i + CB A Q 1 B ga gb ga B x C A R q g Manning Cezy q 1 i ic q 1 g nq B 1/ Manning nq 1 i i q 1 g 1/ Cezy q Ci Manning 1 nq i
12 Cezy Manning 1 1 i 1 i 1 i 1 i 1 1 ϕ ϕ B z z ay y
13 Cezy q q Ci g Manning i g C 1 1 nq q i g g i 1 9 ng q nq q i g q g 9 1 9
14 i < i q q g i Ci gci i i< i 1 i 1 > i (Mild Slope Cannel) i< i > i > i q q g i Ci gci i i > i 1 i 1 < i (Steep Slope Cannel) i > i <
15 4 i< i > > > i > > > > > > > > > x > M 1 (Bak Water) i< i
16 i 1/ 5, q 1. (m / s) n.5 1 nq i q g 46.7m 7.54m downstram 84.6 (m)
17 > > i < > < > x M S i< i i > i
18 i 1/ 5, q 1. (m / s) n.5 1 nq i q g 46.7m 7.54m downstram 56.4 (m)
19 > > i < < > x < M1 M i< i
20 5 i > i > > > i > > > > > > > > > > x S1 i > i
21 > > i > < < < x S i > i
22 i 1/5, q 1. (m / s) n.5 1 nq i q g 46.7m 5.4m upstream 4.4 (m)
23 M S i< i i > i
24 i 1/ 5, i 1/ 5, q 1. (m / s) n nq nq 7.54m 5.4m i i q 46.7m g
25 i 1/ 5, i 1/ 5, q 1. (m / s) n nq nq 7.54m 5.4m i i q 46.7m g
26 > > i < < > < x S1 i > i S S
27 i 1/5, q 1. (m / s) n.5 1 nq i q g 46.7m 5.4m upstream 4.8 (m)
28 M M i< i M1 S1 S S i > i
29 > Critial Slope Cannel i i > > > i i i i > x i ix + C x L HH i L+ C C H i L i ( x L) + H L x x' H i x' C1 x ' i x L i i i
30 < i i i i > < x i ix + C x HH C i x+ H i H C i i x i
31 i Q A B Q i + Q A 1 ga ga B x C A R Q i CB Q 1 gb Q i CB Q CB q q ( ) d dx ( ) d dx C C 1 4 q x+ K C x H K H H 4 q x H H C 4 1 ( 4 4 ) ( ) (4)
32 > Q CB < > < q x H H C 4 1 ( 4 4 ) ( ) H H x x
33 < Q CB < < > q x H H C 4 1 ( 4 4 ) ( ) H H x x
34 i < > < Q i CB < > < A i <
35 < < Q i CB < < > A i <
36 S S1 M M i > i M S i< i i > i
37 1 Cezy 1 i 1 Manning 1 i 1 1 Text( )p9 Manning
38 z v n v g R Q Av, A B, R z Q n Q B gb z, B, n, g, Q
39 Q n Q z gb B 1, Q Q 1 z+ + z + + gb gb x 1 1 x x 1 nq nq B 1 B
40 Q Q 1 z+ + z + + gb gb x 1 1 nq nq B 1 B Q Q 1 z + + z 1 1 gb gb1 1 x nq B1 1 B Q Q n Q x 1 1 z z gb gb1 1 B1 1 B 1, or 1 1
41 1 Q Q n Q x 1 1 z z gb gb1 1 B1 1 B Q n Q x Q n Q x gb1 1 gb B1 1 B f( ) + z + z 1 1 X 1 f ( X ) X + α X + β X + γ f( X ) X Q n Q x α, β gb B 1 1 Q n Q x 1 1 gb B γ z + z
42 Y f( X) X Y X Y f( X) X X Newton f( X ) X f( X + X) 1 f X + f X X + f X X +! ( ) '( ) ''( ) X f( X ) + f '( X ) X X f '( X ) f( X )
43 X f '( X ) f( X ) 1 f( X) X + α X + βx + γ 1 f '( X) 1 αx βx 1 1 f( X ) X + α X + βx + γ 1 f '( X ) 1 X X 1 α β X No f( X ) f ( X), f '( X) X f '( X) f( X ) END Yes Newton X + X X
44 Manning n., i1/1, B1(m) Q(m /s) (1) ng. 9.8 i q 1 () i 1/1.1< i.4 () 1 1 nq. ( /1) 1.15(m) i 1/1 q g ( /1) (m)
45 (4) A.9(m) A A 5mB. B A 1.15(m).74(m) 1? M.9(m) x 5(m) < < M
46 1 f( X) X + α X + βx + γ Q α.4 gb nq x. 5 β.4 B 1 1 Q n Q x. 5 ε z + z gb B 1.9 z 1 1/1 5m z z1 z 5 /1.5 1 f( X) X +.4X.4X f '( X) 1.48X +.1X
47 X.9m X.9, f( X ).67, f '( X ).656 X.9785 X.998 X.998, f( X ).74, f '( X ).748 X.517 X.99 X.99, f( X ).87, f '( X ).74 X.11 X.99 X (m) 1.15(m).74(m) C 1? x 5(m) B M 1.99(m) x 5(m) A.9(m)
48 (5) 5m ( ) M
49 (6) 1.5m M1 ( )
O1-1 O1-2 O1-3 O1-4 O1-5 O1-6
O1-1 O1-2 O1-3 O1-4 O1-5 O1-6 O1-7 O1-8 O1-9 O1-10 O1-11 O1-12 O1-13 O1-14 O1-15 O1-16 O1-17 O1-18 O1-19 O1-20 O1-21 O1-22 O1-23 O1-24 O1-25 O1-26 O1-27 O1-28 O1-29 O1-30 O1-31 O1-32 O1-33 O1-34 O1-35
1 911 9001030 9:00 A B C D E F G H I J K L M 1A0900 1B0900 1C0900 1D0900 1E0900 1F0900 1G0900 1H0900 1I0900 1J0900 1K0900 1L0900 1M0900 9:15 1A0915 1B0915 1C0915 1D0915 1E0915 1F0915 1G0915 1H0915 1I0915
Super perfect numbers and Mersenne perefect numbers /2/22 1 m, , 31 8 P = , P =
Super perfect numbers and Mersenne perefect numbers 3 2019/2/22 1 m, 2 2 5 3 5 4 18 5 20 6 25 7, 31 8 P = 5 35 9, 38 10 P = 5 39 1 1 m, 1: m = 28 m = 28 m = 10 height48 2 4 3 A 40 2 3 5 A 2002 2 7 11 13
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13 50 15 6.0 0.25 220 23 92 960 16 16 3.9 3.9 12.8 83.3 7 10 1150 90 1035 1981 1850 4700 4700 15 15 1150 1150 10 12 31 1.5 3.7%(224 ) 1.0 1.5 25.4%(1522 ) 0.7 30.6 1835 ) 0.7 1.0 40.3 (2421 ) 7.3
solutionJIS.dvi
May 0, 006 6 morimune@econ.kyoto-u.ac.jp /9/005 (7 0/5/006 1 1.1 (a) (b) (c) c + c + + c = nc (x 1 x)+(x x)+ +(x n x) =(x 1 + x + + x n ) nx = nx nx =0 c(x 1 x)+c(x x)+ + c(x n x) =c (x i x) =0 y i (x
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l l l l l l l l l l l α α β l µ l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l
ax 2 + bx + c = n 8 (n ) a n x n + a n 1 x n a 1 x + a 0 = 0 ( a n, a n 1,, a 1, a 0 a n 0) n n ( ) ( ) ax 3 + bx 2 + cx + d = 0 4
20 20.0 ( ) 8 y = ax 2 + bx + c 443 ax 2 + bx + c = 0 20.1 20.1.1 n 8 (n ) a n x n + a n 1 x n 1 + + a 1 x + a 0 = 0 ( a n, a n 1,, a 1, a 0 a n 0) n n ( ) ( ) ax 3 + bx 2 + cx + d = 0 444 ( a, b, c, d
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y = x x R = 0. 9, R = σ $ = y x w = x y x x w = x y α ε = + β + x x x y α ε = + β + γ x + x x x x' = / x y' = y/ x y' =
y x = α + β + ε =,, ε V( ε) = E( ε ) = σ α $ $ β w ( 0) σ = w σ σ y α x ε = + β + w w w w ε / w ( w y x α β ) = α$ $ W = yw βwxw $β = W ( W) ( W)( W) w x x w x x y y = = x W y W x y x y xw = y W = w w
1.500 m X Y m m m m m m m m m m m m N/ N/ ( ) qa N/ N/ 2 2
1.500 m X Y 0.200 m 0.200 m 0.200 m 0.200 m 0.200 m 0.000 m 1.200 m m 0.150 m 0.150 m m m 2 24.5 N/ 3 18.0 N/ 3 30.0 0.60 ( ) qa 50.79 N/ 2 0.0 N/ 2 20.000 20.000 15.000 15.000 X(m) Y(m) (kn/m 2 ) 10.000
N cos s s cos ψ e e e e 3 3 e e 3 e 3 e
3 3 5 5 5 3 3 7 5 33 5 33 9 5 8 > e > f U f U u u > u ue u e u ue u ue u e u e u u e u u e u N cos s s cos ψ e e e e 3 3 e e 3 e 3 e 3 > A A > A E A f A A f A [ ] f A A e > > A e[ ] > f A E A < < f ; >
zsj2017 (Toyama) program.pdf
88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88
88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88
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88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88
第86回日本感染症学会総会学術集会後抄録（I）
κ κ κ κ κ κ μ μ β β β γ α α β β γ α β α α α γ α β β γ μ β β μ μ α ββ β β β β β β β β β β β β β β β β β β γ β μ μ μ μμ μ μ μ μ β β μ μ μ μ μ μ μ μ μ μ μ μ μ μ β
all.dvi
38 5 Cauchy.,,,,., σ.,, 3,,. 5.1 Cauchy (a) (b) (a) (b) 5.1: 5.1. Cauchy 39 F Q Newton F F F Q F Q 5.2: n n ds df n ( 5.1). df n n df(n) df n, t n. t n = df n (5.1) ds 40 5 Cauchy t l n mds df n 5.3: t
20 4 20 i 1 1 1.1............................ 1 1.2............................ 4 2 11 2.1................... 11 2.2......................... 11 2.3....................... 19 3 25 3.1.............................
A a b c d a b a b c d e a b c g h f i d e f g h i M a b c a b c d M a M b c d a b a b a M b a b a b c a b a M a a M a c d b a b c d a b a b a M c d a b e c M f a b c d e f E F d e a f a M bm c d a M b
(iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y = 0., y x, y = x. (v) 1x = x. (vii) (α + β)x = αx + βx. (viii) (αβ)x = α(βx)., V, C.,,., (1)
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
【知事入れ版】270804_鳥取県人口ビジョン素案
7 6 5 4 3 2 1 65 1564 14 192 193 194 195 196 197 198 199 2 21 22 23 24 1.65 1,4 1.6 1,2 1.55 1, 1.45 6 1.5 8 1.4 4 1.35 1.3 2 27 28 29 21 211 212 213 214 6 5 4 3 2 1 213 218 223 228 233 238 243 248 253
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1 1.1 ( ). z = a + bi, a, b R 0 a, b 0 a 2 + b 2 0 z = a + bi = ( ) a 2 + b 2 a a 2 + b + b 2 a 2 + b i 2 r = a 2 + b 2 θ cos θ = a a 2 + b 2, sin θ =
1 1.1 ( ). z = + bi,, b R 0, b 0 2 + b 2 0 z = + bi = ( ) 2 + b 2 2 + b + b 2 2 + b i 2 r = 2 + b 2 θ cos θ = 2 + b 2, sin θ = b 2 + b 2 2π z = r(cos θ + i sin θ) 1.2 (, ). 1. < 2. > 3. ±,, 1.3 ( ). A
all.dvi
5,, Euclid.,..,... Euclid,.,.,, e i (i =,, ). 6 x a x e e e x.:,,. a,,. a a = a e + a e + a e = {e, e, e } a (.) = a i e i = a i e i (.) i= {a,a,a } T ( T ),.,,,,. (.),.,...,,. a 0 0 a = a 0 + a + a 0
I y = f(x) a I a x I x = a + x 1 f(x) f(a) x a = f(a + x) f(a) x (11.1) x a x 0 f(x) f(a) f(a + x) f(a) lim = lim x a x a x 0 x (11.2) f(x) x
11 11.1 I y = a I a x I x = a + 1 f(a) x a = f(a +) f(a) (11.1) x a 0 f(a) f(a +) f(a) = x a x a 0 (11.) x = a a f (a) d df f(a) (a) I dx dx I I I f (x) d df dx dx (x) [a, b] x a ( 0) x a (a, b) () [a,
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..1 f(x) n = 1 b n = 1 f f(x) cos nx dx, n =, 1,,... f(x) sin nx dx, n =1,, 3,... f(x) = + ( n cos nx + b n sin nx) n=1 1 1 5 1.1........................... 5 1.......................... 14 1.3...........................
1 1 sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω 1 ω α V T m T m 1 100Hz m 2 36km 500Hz. 36km 1
sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω ω α 3 3 2 2V 3 33+.6T m T 5 34m Hz. 34 3.4m 2 36km 5Hz. 36km m 34 m 5 34 + m 5 33 5 =.66m 34m 34 x =.66 55Hz, 35 5 =.7 485.7Hz 2 V 5Hz.5V.5V V
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( ) c a sin b c b c a cos a c b c a tan b a b cos sin a c b c a ccos b csin (4) Ma k Mg a (Gal) g(98gal) (Gal) a max (K-E) kh Zck.85.6. 4 Ma g a k a g k D τ f c + σ tanφ σ 3 3 /A τ f3 S S τ A σ /A σ /A
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φ φ φ φ κ κ α α μ μ α α μ χ et al Neurosci. Res. Trpv J Physiol μ μ α α α β in vivo β β β β β β β β in vitro β γ μ δ μδ δ δ α θ α θ α In Biomechanics at Micro- and Nanoscale Levels, Volume I W W v W
- 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%
December 28, 2018
e-mail : kigami@i.kyoto-u.ac.jp December 28, 28 Contents 2............................. 3.2......................... 7.3..................... 9.4................ 4.5............. 2.6.... 22 2 36 2..........................
2 1 κ c(t) = (x(t), y(t)) ( ) det(c (t), c x (t)) = det (t) x (t) y (t) y = x (t)y (t) x (t)y (t), (t) c (t) = (x (t)) 2 + (y (t)) 2. c (t) =
1 1 1.1 I R 1.1.1 c : I R 2 (i) c C (ii) t I c (t) (0, 0) c (t) c(i) c c(t) 1.1.2 (1) (2) (3) (1) r > 0 c : R R 2 : t (r cos t, r sin t) (2) C f : I R c : I R 2 : t (t, f(t)) (3) y = x c : R R 2 : t (t,
(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
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
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
- 1 - - 2 - - 3 - - 4 - H19 H18-5 - H19.7H20.3 8,629 11,600-6 - - 7 - - 8 - - 9 - H20.7 20 / - 10 - - 11 - 1 8,000 16,000 4,000 2 50 12 80-12 - 20 3040 50 18a 19a - 13 - - 14 - 1,000-15 - 3,000 4,500 560
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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δ!!! μ μ μ γ UBE3A Ube3a Ube3a δ !!!! α α α α α α α α α α μ μ α β α β β !!!!!!!! μ! Suncus murinus μ Ω! π μ Ω in vivo! μ μ μ!!! ! in situ! in vivo δ δ !!!!!!!!!! ! in vivo Orexin-Arch Orexin-Arch !!
平成20年5月 協会創立50年の歩み 海の安全と環境保全を目指して 友國八郎 海上保安庁 長官 岩崎貞二 日本船主協会 会長 前川弘幸 JF全国漁業協同組合連合会 代表理事会長 服部郁弘 日本船長協会 会長 森本靖之 日本船舶機関士協会 会長 大内博文 航海訓練所 練習船船長 竹本孝弘 第二管区海上保安本部長 梅田宜弘
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x () g(x) = f(t) dt f(x), F (x) 3x () g(x) g (x) f(x), F (x) (3) h(x) = x 3x tf(t) dt.9 = {(x, y) ; x, y, x + y } f(x, y) = xy( x y). h (x) f(x), F (x
[ ] IC. f(x) = e x () f(x) f (x) () lim f(x) lim f(x) x + x (3) lim f(x) lim f(x) x + x (4) y = f(x) ( ) ( s46). < a < () a () lim a log xdx a log xdx ( ) n (3) lim log k log n n n k=.3 z = log(x + y ),
2
p1 i 2 = 1 i 2 x, y x + iy 2 (x + iy) + (γ + iδ) = (x + γ) + i(y + δ) (x + iy)(γ + iδ) = (xγ yδ) + i(xδ + yγ) i 2 = 1 γ + iδ 0 x + iy γ + iδ xγ + yδ xδ = γ 2 + iyγ + δ2 γ 2 + δ 2 p7 = x 2 +y 2 z z p13
さくらの個別指導 ( さくら教育研究所 ) 1 φ = φ 1 : φ [ ] a [ ] 1 a : b a b b(a + b) b a 2 a 2 = b(a + b). b 2 ( a b ) 2 = a b a/b X 2 X 1 = 0 a/b > 0 2 a
![さくらの個別指導 ( さくら教育研究所 ) 1 φ = φ 1 : φ [ ] a [ ] 1 a : b a b b(a + b) b a 2 a 2 = b(a + b). b 2 ( a b ) 2 = a b a/b X 2 X 1 = 0 a/b > 0 2 a](/thumbs/97/131721994.jpg "さくらの個別指導 ( さくら教育研究所 ) 1 φ = φ 1 : φ [ ] a [ ] 1 a : b a b b(a + b) b a 2 a 2 = b(a + b). b 2 ( a b ) 2 = a b a/b X 2 X 1 = 0 a/b > 0 2 a")
φ + 5 2 φ : φ [ ] a [ ] a : b a b b(a + b) b a 2 a 2 b(a + b). b 2 ( a b ) 2 a b + a/b X 2 X 0 a/b > 0 2 a b + 5 2 φ φ : 2 5 5 [ ] [ ] x x x : x : x x : x x : x x 2 x 2 x 0 x ± 5 2 x x φ : φ 2 : φ ( )
( ) Loewner SLE 13 February
( ) Loewner SLE 3 February 00 G. F. Lawler, Conformally Invariant Processes in the Plane, (American Mathematical Society, 005)., Summer School 009 (009 8 7-9 ) . d- (BES d ) d B t = (Bt, B t,, Bd t ) (d
24 201170068 1 4 2 6 2.1....................... 6 2.1.1................... 6 2.1.2................... 7 2.1.3................... 8 2.2..................... 8 2.3................. 9 2.3.1........... 12
SFGÇÃÉXÉyÉNÉgÉãå`.pdf
SFG 1 SFG SFG I SFG (ω) χ SFG (ω). SFG χ χ SFG (ω) = χ NR e iϕ +. ω ω + iγ SFG φ = ±π/, χ φ = ±π 3 χ SFG χ SFG = χ NR + χ (ω ω ) + Γ + χ NR χ (ω ω ) (ω ω ) + Γ cosϕ χ NR χ Γ (ω ω ) + Γ sinϕ. 3 (θ) 180
7. y fx, z gy z gfx dz dx dz dy dy dx. g f a g bf a b fa 7., chain ule Ω, D R n, R m a Ω, f : Ω R m, g : D R l, fω D, b fa, f a g b g f a g f a g bf a
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