Similar documents

Microsoft Word - ゴールドコーストマラソン2014.docx

x = a 1 f (a r, a + r) f(a) r a f f(a) 2 2. (a, b) 2 f (a, b) r f(a, b) r (a, b) f f(a, b)

1. (8) (1) (x + y) + (x + y) = 0 () (x + y ) 5xy = 0 (3) (x y + 3y 3 ) (x 3 + xy ) = 0 (4) x tan y x y + x = 0 (5) x = y + x + y (6) = x + y 1 x y 3 (

ma22-9 u ( v w) = u v w sin θê = v w sin θ u cos φ = = 2.3 ( a b) ( c d) = ( a c)( b d) ( a d)( b c) ( a b) ( c d) = (a 2 b 3 a 3 b 2 )(c 2 d 3 c 3 d


untitled

S I. dy fx x fx y fx + C 3 C dy fx 4 x, y dy v C xt y C v e kt k > xt yt gt [ v dt dt v e kt xt v e kt + C k x v + C C k xt v k 3 r r + dr e kt S dt d

untitled

2011de.dvi

1 8, : 8.1 1, 2 z = ax + by + c ax by + z c = a b +1 x y z c = 0, (0, 0, c), n = ( a, b, 1). f = n i=1 a ii x 2 i + i<j 2a ij x i x j = ( x, A x), f =

untitled

untitled


S I. dy fx x fx y fx + C 3 C vt dy fx 4 x, y dy yt gt + Ct + C dt v e kt xt v e kt + C k x v k + C C xt v k 3 r r + dr e kt S Sr πr dt d v } dt k e kt

1W II K =25 A (1) office(a439) (2) A4 etc. 12:00-13:30 Cafe David 1 2 TA appointment Cafe D

1 No.1 5 C 1 I III F 1 F 2 F 1 F 2 2 Φ 2 (t) = Φ 1 (t) Φ 1 (t t). = Φ 1(t) t = ( 1.5e 0.5t 2.4e 4t 2e 10t ) τ < 0 t > τ Φ 2 (t) < 0 lim t Φ 2 (t) = 0

.3. (x, x = (, u = = 4 (, x x = 4 x, x 0 x = 0 x = 4 x.4. ( z + z = 8 z, z 0 (z, z = (0, 8, (,, (8, 0 3 (0, 8, (,, (8, 0 z = z 4 z (g f(x = g(


A_chapter3.dvi

1.2 y + P (x)y + Q(x)y = 0 (1) y 1 (x), y 2 (x) y 1 (x), y 2 (x) (1) y(x) c 1, c 2 y(x) = c 1 y 1 (x) + c 2 y 2 (x) 3 y 1 (x) y 1 (x) e R P (x)dx y 2

20 57

() n C + n C + n C + + n C n n (3) n C + n C + n C 4 + n C + n C 3 + n C 5 + (5) (6 ) n C + nc + 3 nc n nc n (7 ) n C + nc + 3 nc n nc n (


(3) (2),,. ( 20) ( s200103) 0.7 x C,, x 2 + y 2 + ax = 0 a.. D,. D, y C, C (x, y) (y 0) C m. (2) D y = y(x) (x ± y 0), (x, y) D, m, m = 1., D. (x 2 y

()

P.1P.3 P.4P.7 P.8P.12 P.13P.25 P.26P.32 P.33

Microsoft Word - 計算力学2007有限要素法.doc

A

橡本四資料1.PDF


経済論集 46‐2(よこ)(P)☆/2.三崎

m dv = mg + kv2 dt m dv dt = mg k v v m dv dt = mg + kv2 α = mg k v = α 1 e rt 1 + e rt m dv dt = mg + kv2 dv mg + kv 2 = dt m dv α 2 + v 2 = k m dt d

x ( ) x dx = ax

II (10 4 ) 1. p (x, y) (a, b) ε(x, y; a, b) 0 f (x, y) f (a, b) A, B (6.5) y = b f (x, b) f (a, b) x a = A + ε(x, b; a, b) x a 2 x a 0 A = f x (

(4) P θ P 3 P O O = θ OP = a n P n OP n = a n {a n } a = θ, a n = a n (n ) {a n } θ a n = ( ) n θ P n O = a a + a 3 + ( ) n a n a a + a 3 + ( ) n a n

i

n Y 1 (x),..., Y n (x) 1 W (Y 1 (x),..., Y n (x)) 0 W (Y 1 (x),..., Y n (x)) = Y 1 (x)... Y n (x) Y 1(x)... Y n(x) (x)... Y n (n 1) (x) Y (n 1)

たたら製鉄についてのまとめ


(1) (2) (3) (4) (5) 2.1 ( ) 2

i


0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2

untitled

橡14yoshi

応力とひずみ.ppt

II

II Karel Švadlenka * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* u = au + bv v = cu + dv v u a, b, c, d R

II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2

生活排水処理施設整備計画策定マニュアル

I, II 1, A = A 4 : 6 = max{ A, } A A 10 10%

4 4 θ X θ P θ 4. 0, 405 P 0 X 405 X P 4. () 60 () 45 () 40 (4) 765 (5) 40 B 60 0 P = 90, = ( ) = X

1/1 lim f(x, y) (x,y) (a,b) ( ) ( ) lim limf(x, y) lim lim f(x, y) x a y b y b x a ( ) ( ) xy x lim lim lim lim x y x y x + y y x x + y x x lim x x 1

untitled

砂浜砕波帯における流れと地形変化

<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C60202E646F63>

DVIOUT



I ( ) 1 de Broglie 1 (de Broglie) p λ k h Planck ( Js) p = h λ = k (1) h 2π : Dirac k B Boltzmann ( J/K) T U = 3 2 k BT

<4D F736F F D B BA908593B98AC782AB82E593E082CC88C091538AC7979D82C98AD682B782E992868AD495F18D908F912E646F63>

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

. km. km. km

untitled

untitled

dynamics-solution2.dvi

31 33

dy + P (x)y = Q(x) (1) dx dy dx = P (x)y + Q(x) P (x), Q(x) dy y dx Q(x) 0 homogeneous dy dx = P (x)y 1 y dy = P (x) dx log y = P (x) dx + C y = C exp

untitled

untitled

N E W S

,. Black-Scholes u t t, x c u 0 t, x x u t t, x c u t, x x u t t, x + σ x u t, x + rx ut, x rux, t 0 x x,,.,. Step 3, 7,,, Step 6., Step 4,. Step 5,,.

M3 x y f(x, y) (= x) (= y) x + y f(x, y) = x + y + *. f(x, y) π y f(x, y) x f(x + x, y) f(x, y) lim x x () f(x,y) x 3 -

6kg 1.1m 1.m.1m.1 l λ ϵ λ l + λ l l l dl dl + dλ ϵ dλ dl dl + dλ dl dl 3 1. JIS 1 6kg 1% 66kg 1 13 σ a1 σ m σ a1 σ m σ m σ a1 f f σ a1 σ a1 σ m f 4

07.報文_及川ら-二校目.indd

2 2

1990 IMO 1990/1/15 1:00-4:00 1 N N N 1, N 1 N 2, N 2 N 3 N 3 2 x x + 52 = 3 x x , A, B, C 3,, A B, C 2,,,, 7, A, B, C

2


1 1.1 Excel Excel Excel log 1, log 2, log 3,, log 10 e = ln 10 log cm 1mm 1 10 =0.1mm = f(x) f(x) = n

II A A441 : October 02, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka )

I-2 (100 ) (1) y(x) y dy dx y d2 y dx 2 (a) y + 2y 3y = 9e 2x (b) x 2 y 6y = 5x 4 (2) Bernoulli B n (n = 0, 1, 2,...) x e x 1 = n=0 B 0 B 1 B 2 (3) co

030801調査結果速報版.PDF

.1 z = e x +xy y z y 1 1 x 0 1 z x y α β γ z = αx + βy + γ (.1) ax + by + cz = d (.1') a, b, c, d x-y-z (a, b, c). x-y-z 3 (0,

W u = u(x, t) u tt = a 2 u xx, a > 0 (1) D := {(x, t) : 0 x l, t 0} u (0, t) = 0, u (l, t) = 0, t 0 (2)

埼環協ニュース第214号

k m m d2 x i dt 2 = f i = kx i (i = 1, 2, 3 or x, y, z) f i σ ij x i e ij = 2.1 Hooke s law and elastic constants (a) x i (2.1) k m σ A σ σ σ σ f i x


cm H.11.3 P

s d

モノグラフ・中学生の世界 Vol.62

211 ‚æ2fiúŒÚ

a q q y y a xp p q y a xp y a xp y a x p p y a xp q y x yaxp x y a xp q x p y q p x y a x p p p p x p

6. Euler x

Microsoft Word - Œ{Ł¶.doc

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


SOWC04....

Riemann-Stieltjes Poland S. Lojasiewicz [1] An introduction to the theory of real functions, John Wiley & Sons, Ltd., Chichester, 1988.,,,,. Riemann-S

Transcription:

16 5

14 12 1

15 3 6 16 5 2

3 16 3

1 11 1.1 11 1.2 12 2 21 2.1 21 2.2 26 2.3 211 2.4 226 3 31 3.1 31 3.1.1 33 3.1.2 39 3.2 311 3.3 313 3.4 315 4 41 4.1 41 4.2 42 4.3 43 4.3.1 44 4.3.2 434 4.3.3 440 4.3.4 452 4.3.5 466 4.3.6 470 1 8 1 21 1 47

13 13 223 224 225 225 37 48 412

1 1 1.1 11

1 12 1.2 1.21 1.21 11 15 3

1 34 12 1,880km 2 146km 1/4,000 2mm 1,700m 3 /s 9 T.P.1m2m 4m 2 4m 4m 13

1 3 12 26 3281 6 6 14

1 15

2 2 2.1 2.13 2.14 2.11 21

2 2.15 2.16 2.12 (1980) 22

2 2.13 HP 15 2.14 15 25 15 2.15 19752000 COD 2.16 1998 9 1992 VOL29 23

2 24 1945 15 72 19 18 17 14 12 12 2.17 20 2.18 15

2 2.19 9 3 2.110 12 10 25

2 2.2 1 2 1 2.21 2.22 2.21 2003 1 26

2 2.22 2.23 27

2 2.23 14 15 3 () 2.24 2 28

2 2.25 2.25 29

2 2.26 1 2 2.26 210

2 2.3 1 1 1km D6060 5mm 2 5mm 1 2 2.31 2 23 10 33 0.6m 2111,190km 2 27014,330km 2 2 2 4 0.62m 2 211

2 16 15 31 0.62m 5083,990km 2 46416,840km 2 18 7 25 24m 1401,465km 2 235 8,917km 2 6 2 8 24m 8 4m 2.32 05km 01km 2km 01km 212

2.31 2 2.31 213

2 214 0km5km 01km 2.32

2 1/8 215

2 2/8 216

2 3/8 217

2 4/8 218

2 5/8 219

2 6/8 220

2 7/8 221

2 8/8 222

2 12m 5m 23m 12 223

2 12 12 H12 1/3 224

2 15 1km D60 10 10 mm 10 109 4000km 2 9 225

2 2.4 226

3 3 3.1 3.1 1 31

3 32 3.11

3 3.1.1 1 3.12 5 9 3281 6 6 33

3 3.13 4 9 3281 6 6 34

3 A 2 5 29 2 10 30 2 9 20 2 9 30 10 30 1 2 3.14 3281 6 6 35

3 2 3.15 B Q I P.45 m b 36

3 7 SS SS SS Stokes 1/18 d 10 ( ) 33 Turbidity Maximum Turbidity Maximum (a) (b) 1988 P8 37

3 1983 11 20 SS mg/l H12.9 p154 38

3 3.1.2 1 3.16 3 3.16 2 39

3 310 40 20,26:99-100. 1989 3.17 3.18 11 () 3.19 H14.8.20

3 3.2 3.21 3.21 3.22 15 3.2 3 129 105 68 37 32 29 9 4 2 311

3 312 3.22 3.23 20 109 129

3 3.3 1 5 2 3.31 313

3 314 3.31

3 3.4 p41 1 3.41 315

3 3.41 200m 1 3 p 1 p 2 9 2.9 1km 1 9 2.6 1 3 1 9 p 4 2 3 HQ 1 9 1 9 1 1 1 1 5 1 2 9 15 1 2.7 1 15 Cl p 5 1963 p 7 515 p 7 1 1km 1 1 2 1 316

3 3.42 317

3 2 3.41 3.46 3.41 12 10 318

3 DO 3.42 DO 8 19 4 Depth(m) Depth(m) 3.42 3.43 452 319

3 3.44 3.45 3.46 3.44 12 H13.3 320

3 3.45 14 321

3 3.46 12 H13.3 322

4 41 4 4.1 1 2 3

4 42 4.2 4.21 4.21 4.21

4 4.3 4.2 4.3.14.3.5 4.3.14.3.5 1 2 3 4 4.3.14.3.5 4.3.1 4.3.1.1 4.3.1.2 4.3.1.3 4.3.1.4 4.3.1.5 4.3.1.6 4.3.2 4.3.2.1 4.3.3 4.3.3.1 4.3.3.2 4.3.3.3 4.3.4 4.3.4.1 4.3.4.2 4.3.4.3 4.3.5 4.3.5.1 43

4 44 4.3.1 4.3.1.1 1 4.3.1.11

4 45 4.3.1.11

4 2 1 3 4.3.1.12 4.3.1.12 11 46

4 2 H 1 2 2 3 6 4 3 L Fd 0 2 3Fd 0 Fd 0 2 fi 5 5 F d 0 U0 gh 1 0 1 0 1 H f U 1 0 H U 0 11 P.558 S S0 exp F 11 X 2 SX S 0 F Uh 2 20 L U h 0 : L K x 2 u 0 0 K x 2 0 u 0 L X x x 47

4 3 4.3.1.11 4.3.1.11 1 H A R B 2 8 15 4.3.1.12 2.5m 2km 48

4 4.3.1.11 4 1 515 12m 15 ADCP p 8 49

4 410 4.3.1.2 1 4.3.1.21

4 4.3.1.21 2 4.3.1.21 4.3.1.21 1. 1.5 ml/l 2.5 ml/l 3.0 ml/l 2.5 ml/l 2. 2.0 ml/l 3.0 ml/l 3. 3.0 ml/l 1995 ml/l1.429mg/l 4.3.1.224.3.1.23 411

4 4.3.1.224.3.1.23 mg/l 3 4.3.1.21 4.3.1.22 1 H A R B 2 9 15 2.5m 2km 412

4 4.3.1.22 4 1 515 12m 15 p 4 2 413

4 4.3.1.3 1 4.3.1.31 414

4 415 4.3.1.31

4 2 4.3.1.32 14 2.252.79km 4.3.1.32 14 15 3 () 416

4 3 4.3.1.31 4.3.1.31 1 H A R B 2 417

4 4.3.1.31 418

4 4 1 515 12m 15 p 4 2 3 419

4 4.3.1.4 1 4.3.1.41 420

4 421 4.3.1.41

4 2 3 4.3.1.41 4.3.1.41 1 2 422

4 423 4.3.1.41 4 1 2

4 424 4.3.1.5 u dr 1 4.3.1.51

4 425 4.3.1.51

4 2 4.3.1.52 u dr 4.3.1.5 3 u 2 dr u 2 dr 4.3.1.52 u 2 d R 4.3.1.53 P.36 3 4.3.1.51 4.3.1.51 1 H A R B 426

4 427 2 4.3.1.51 4 1 p 4 2 12

4 4.3.1.6 1 4.3.1.61 428

4 429 4.3.1.61

4 2 u 2 11 3 / 2 * c * c q B* 17 * 1 1 * * q s 6aw 1 w qcap 0 1 6 exp P hu, 1 0 * u* 0 1 ln exp d 2 1 * 0 0, 0 5. 55 0 u w q s qc P C F w exp 2 0 * w u *c Fw 0 w0 q P w 0 / u * v / u* v C 0 ppm u * z / h 671. 0R * * c 0. 05 162. 7 * 671. 0 3/ 11 0. 00849R * 54. 2 * 162. 7 0. 0034 2. 14 * 54. 2 7/ 16 0. 195R * 2.14 0. 14 * *c 1. 61 0. 3030d 2 u * c 80.9d 0. 1180d 0. 3030 134. 6d 0. 0565d 0. 1180 55.0d 0. 0065d 0. 0565 84. 1d d 0.0065 226d cms / 1 gd / g d R * 3 31/ 22 11/ 32 430

4 3 4.3.1.61 4.3.1.61 1 H A R B 2 431

4 432 4.3.1.61

4 4 1 p 4 2 2 3 433

4 434 4.3.2 4.3.2.1 1

4 435 4.3.2.11 4.3.2.11

4 2 1 2 4.3.2.12 4.3.2.12 436

4 3 4.3.2.11 4.3.2.11 1 2 437

4 438 4.3.2.11

4 4 1 2 2 439

4 4.3.3 4.3.3.1 1 440

4 441 4.3.3.11 4.3.3.11

4 2 3 4.3.3.11 4.3.3.11 1 2 442

4 443 4.3.3.11 4 1 2

4 4.3.3.2 4.3.1.1 1 4.3.3.21 444

4 445 4.3.3.21

4 2 4.3.1.1 3 4.3.3.21 4.3.3.21 1 H A R B 2 446

4 4.3.3.21 4 1 515 12m 15 p 4 447

4 4.3.3.3 1 4.3.3.31 448

4 449 4.3.3.31

4 2 3 4.3.3.31 4.3.3.31 1 H A R B 2 450

4 451 4.3.3.31 4 1 p 4 2 12 3 4

4 4.3.4 4.3.4.1 1 452

4 453 4.3.4.11 4.3.4.11

4 2 1 4.3.4.12 4.3.4.12 2 4.3.4.1-1 454

4 4.3.4.11 3 4.3.4.11 4.3.4.12 1 2 455

4 456 4.3.4.12

4 4 1 2 2 457

4 4.3.4.2 1 4.3.4.21 458

4 459 4.3.4.21

4 460 2 3 4.3.4.21 4.3.4.21 1 2 4.3.4.21

4 4 1 2 461

4 4.3.4.3 1 4.3.4.31 462

4 463 4.3.4.31

4 2 800m 68m 3 4.3.4.31 4.3.4.31 1 2 464

4 465 4.3.4.31 4 1 2 p 4

4 4.3.5 4.3.5.1 1 466

4 467 4.3.5.11 4.3.5.11

4 2 1 3 4.3.5.11 4.3.5.11 1 2 468

4 469 4.3.5.11 4 1 2

4 4.3.6 4.3.1 4.3.5 4.3.61 4.3.62 4.3.61 4.3.1 4.3.1.1 4.3.1.2 4.3.1.3 4.3.1.4 4.3.1.5 4.3.1.6 4.3.2 4.3.2.1 4.3.3 4.3.3.1 4.3.3.2 4.3.3.3 4.3.4 4.3.4.1 4.3.4.2 4.3.4.3 4.3.5 4.3.5.1 470

4 4.3.62 471

1 2 4 5 7 8

2 HS102 10khz 200khz 1

1 1 30 2

3

A 4

20cm 5

107kHz 50cm 6

ph ph 7

AcousticDopplerCurrentProfilers Horizontaltypeof AcousticDopplerCurrentProfilers 8

1 3 5 6 7 9 12 13 15 17 18 20

...1...2...3...4 1

1 2-1 - 2-2 Monin-Obukhov 11 p551 2

1...1 2 3...2 4 /...3 5 x...4...5 x 6 y...6 7 z...7 3

8...8 0 coarse grid fine grid 3 x y z p29 4

...1...2 Streeter Phelps BOD Camp D tx/u Streeter Phelps -1 DO Sag Curve R i -1 11 p604 5

...1 A U (x) (x) L i () D x 11 p616-1 -1 11 p558 6

...1...2...3...4...5...6 7

246 2 T r 4 E d T r E d Manning 11 2 4 6 Bernoulli 2 4 2 4 t x 11 p92 8

9 1...1 1...2 2...3...4...5 3 0 1 1 x i a q t z î i a t i B Bx b B b...6...7

4 z 1 q B qbx By 0...8 t 1 x y q By q By v u 1 s k u u * c * zb q y Bx...9 ux v y u * c s k 35...10...11 10 11 10 / h 0 q B 67 371011...12 10

f i q Bx i i B b 0 11 p174 11

L h -1...1 0 B...3...4 1 1 11 p563 12

1 H/L H/h (h/l) 2 1 L h /h a exp i kx t 2-1 13

-2 14

...1 x s Q D s q -1 1 2 D s 3-1 15

-1-2 16

1-line xk 1 Qk 0 k 1... n t h y k xkk m h k k m Q k k m 3 /sk n y x t 1 1 1 1996 539/II-35pp.121-139 2 1990 37 pp.210-214 17

1 xy UV wave setup...1...2 h t 2 2 3 4 5 6 radiation stress 2 radiation stress 2 18

... 3 C f 0.01 xy u b v b -1...4 radiation stress radiation stress 2...5 S xx S xy S yx S yy radiation stress 19

...1-1 z b h t h x y q x q y x y -1 3 2 20

q x q y 1984 q x q y q x, q y q cx, qcy q wx, qwy q, q, cx q cy wx q wy qcx QcU q cy Q cv 2 Qc A u 2 C * u* c / g U V x y u* A g u * c c q wx Q uˆb cos q wy Q uˆb sin 2 Qw A u 2 w * u* c / g ûb x u* Aw 21

1 30 3 3 3 8 23 2 k 22 48 41 27 32 32 37 41 43 43 3