378
379
10% 10%10% 10% 100% 380
381
2000 BSE CJD 5700 18 1996 2001 100 CJD 1 310-7 10-12 10-6 CJD 100 1 10 100 100 1 1 100 1 10-6 1 1 10-6 382
2002 14 5 1014 10 10.4 1014 100 110-6 1 383
384
385
2002 4 GRS80 2002 4 1 400450 400450 X,Y,Z X,Y,Z X,Y,Z X(N) cos() cos() Y(N) cos() sin() ZN+(1e 2 ) sin() e 2 f 2f 1299.152813 Na1e 2 sin 2 () 6377397.155m GRS80 f 1298.257222101 a 6378137m GRS80 a f[ ] 386
(2004) CD-ROM Web (2002) 387
GPS GPSGlobal Positioning System 1,000 GPS GPS xyz iabc jxyz 2 2 2 L = ( x j A) + ( y j B) + ( z j C) + c dti + c dt j L c dti dtj LA2 A1 LA2 B2 xyz GPS km mm cm 388
A B LA2 LA1 LB1 LB2 xyz - (xyz) GPS (2001) GPS GPS pp.112-119 (2003) GPS GPS pp.80-115 389
II GPS 1 COS GPS 390
N () 391
GPS GPSGlobal Positioning System GPS GPS GPS GPS xyz dt ABC L c 2 2 2 ( x A) + ( y B) + ( z C) + c dt L = m m 24 GPS GPS 392
A2B2C2 A3B3C3 L2 L3 A1B1C1 L1 L4 A4B4C4 xyz (xyz) dt (2001) GPS GPS pp.112-119 (2003) GPS GPS pp.80-115 393
394
10-3 10-3 10-4 10-5 10-4 10-5 10-7 10-6 10-7 395
396
(1) (2) (3) 397
398
LCR LCR 399
400
401
402
403
30 500 1000 90100 0.1 5 1 A A = A A 0.9 α A A A 1 2 3 n 0 = A1 A0 = A2 A0 = A 0 0 0.9 α = A 0.9 α = A ( 1 n 0.9 α ) 0 0 2 A 0 3 A 0 0.9 α 0.9 α 100 0.1 5 2 A A = A A 1 2 = A A = A 3 0 1 2 A n = A ( 1 β ) ( 1 β ) = A0 ( 1 β ) ( 1 β ) = A0 ( 1 β ) ( 1 β ) n 0 2 3 A 404
1 100 0.1 2 100 0.1 3 1 URL:http://www.taxanswer.nta.go.jp/ 2004 12 25 URL: http://www.taxanswer.nta.go.jp/2100.htm 405
406
407
W [t] L [t/year] D [t/year] M [t] C [t/t]t MCD t L D = dm dt M = C W D C k D / W = k C dc / dt = L / W k C b C = L / k W 1 b exp kt { ( )} { ( )} 408
L [t/year] W [t] M [t] C [t/t] D [t/year] C () t () 409
A 10 1 1.010 1.14 10-5 B A B Pfd 1100 100 1 B A A T T 0 P dp dp = ( 1 P) λ dt = λ dt 1 P ( ) T λt log e ( 1 P) = λ dt P = 1 e λt ( λ) 0 1 P 1 = λt 2 410
2 3 n x x x x x e = 1+ + + + + + 1! 2! 3! n! 1 1 1 1 e = 1+ + + + + + ( x = 1) = 2.71828 1! 2! 3! n! λ 1 e x λx 411
1620 1822 412
14 18 22 15 18 21 1.0 0.5 1.0 0.5 413
1,000 700 200 900 0.70.21,000 140 700 200 140 760 414
1,000 70 20 0.71,000 700 0.21,000 200 0.70.21,000 140 (2001) pp.76 415
( ) ( 4 ) ( 7 30 1 30 30 ) 1 5 36 30 = 1.96 30 30 30 416
417
NC 1952 NC: Numerical Control NC 418
419
B 3 3 3 3 3 5 10 2 A r ax,ay,az B r = bx,by,bz A r B r = A B cos 420
421
422
423
424
425
426
[mm] 427
r r r a = ( a1, a 2 ), b = ( b1, b2 ) a b r = a1b1 + a2b2 428
A1 A2 A3 A4 A5 A6 B1 B2 B3 B4 B5 B6 A1 A2 A3 A4 A5 A6 B1 B2 B3 B4 B5 B6 429
430
2 431
A B C () () A B C () A B C () A B C a a a 11 21 31 a a a 12 22 32 a a a 13 23 33 w1 w w2 = λ w w3 w w1w2w3 w1w2w3 1 2 3 2 3 4 0.8 0.8 = 5 1 0.6 0.6 0.8 0.6 432
433 12 12 21 12 33 22 11 33 32 31 23 22 21 13 12 11 1 1 3 3 a a a a a a a a a a a a a a a a = = = = = = 1 0 0 1 1 3 4 2 0 0 1 0 0 1 1 3 4 2 0 0 1 0 0 1 1 3 4 2 1 3 4 2 λ λ λ λ b a b a b a b a
434
[-] [g] 435
436 = 0 0 1 (0) 1 (0) 21 (0) 11 M M X n X X = 0 0 1 (1) 1 (1) 21 (1) 11 M M A X X X n = = 0 0 1 0 0 1 2 (2) 1 (2) 21 (2) 11 M M M A A A X X X n ( ) 1 2 1 = + + + + A I A A A I m L ( ) = = + + + + = + + + + 1 21 11 1 2 1 2 0 0 1 0 0 1 ) ( 0 0 1 0 0 1 0 0 1 0 0 1 n m m A I A A A I A A A β β β M M M L M L M M M
( I A) ( I A) 1 to from 1 2 X j 1 [ X ij ] 1 2 X X X 11 21 n1 X X X 12 22 n2 X 1 n X 2 n X X 1 X 2 X n 2 [ a ij ] = [ A] 1 2 nn 1 2 a 11 a 21 a n1 a 12 a 22 a n2 a 1 n a 2 n a nn a ij = X ij X 3 [ θ ] = [ I A] j ij 1 2 1 2 1 a 11 a 21 a n1 a 12 1 a 22 a n2 a 1n a 2n 1 a nn 4 [ ] [ ] 1 [ ] 1 β = = I A ij θ ij 1 2 1 2 β 11 β 21 β n1 β 12 β 22 β n2 β 1n β 2n β nn 437
y=ax+b 2 X Y a b 2 3 xi[g] yi[cm] i=1n y=ax+b a b 2 2 ( ) ( ) 2 ( ) 2 E = ax + b y + ax + b y + L + ax + b y 1 1 2 2 N N a,b E E = 2{ ( ax1 + b y1 ) x1 + L+ ( axn + b y N ) xn } = 0 = 2{ ( ax1 + b y1 ) + L+ ( axn + b y N )} = 0 a b 2 2 ( x + L + xn ) + b( x1 + L + xn ) = x1 y1 + L xn y N a + a x + + x + b N = y + L+ y 1 L 1 1 ( N ) N 438
y x y (x3,y3) (x6,y6) (x2,y2) (x1,y1) (x4,y4) (x5,y5) x y (x6,y6) (x3,y3) (x2,y2) (x4,y4) (x5,y5) (x1,y1) x 439
x1 x2 A B Z=a1x1+a2x2 A B A B a1 a2 x1 x2 440
x2 Z=a1x1+a2x2 x1 441
C A 30 1 10 300 1/3 30 1 1/3 /3 300 200 10 3 1/27 0 6/27 100 12/27 200 8/27 300 200 12/27 1/32000 2 2/3200300 2 = 20000 141.4 3 1/27200 2 6/27100 2 8/27100 2 = 6666 82.6 30 666.6 25.8 30 30 100 300 200 100 442
443
C CT X CT 4 ABCD a AB c CD d AC a BD b ABCD 4 4 ABCD 101010 1000 444
A C a B D b c d 445
12 59 49 446
447
( ),,, a 2 448
449
100 A,B VaRValue at Risk regret 100 C,D,E E VaR C D VaR D C 100 120 130 E 450
451
452
1 2 3 11 22 33 111 222 333 1111 2222 3333 11111 22222 33333 453
1 2 1 2 2 454
455
B 350ml 2 1 456
1 http://www.daiwa-can.co.jp/quiz/answer.html 457
B C 458
459
A 100 70 20 50 40 20 40 437.5 35 a 0 1 1aa1a a 0.3 35a1a3535 a 0.3 70a1a2050a20 70 35 35 40 20 15 15 460
1 100 461
462
463
1 2 464
465
(x) (y)y=0.393x 1 6 4,600 2 2 3,900 466
() (2003) (2003) 467
IC 468
469
3 A n T ν n = ( n = 1,2,3 ) 2 L p () 1 ν = 2 L T p () 470
L T T 2002 471
2 = 2 2 6400km 150cm 4.4 100 38.3km 40km 10000 400km 472
64000 473
474
475
2700 3070 476
http://www.fujikyu.co.jp/2005 2 27 http://www.fujikyu.co.jp/tozan/2001/ 477
478
10 cm 15 cm 10 cm 10 cm 5 cm 0 cm 5 cm 10 cm 5 cm 5 cm 479
480
481
D 5m C 1/5 7.5mm 1.0 0.1 75mm 0.1 0.20.5 0.1 0.2 7m 0.2 5cm37.5mm7m5m 482
(a) 5mm (b) 7mm (c) 10mm (d) 10cm (e) 20cm (f) 45cm ABCDE (g) (h) 13cm (i) 9cm ()30cm (j) 50cm 1 2 3 35 12 17 483
C 5 C B () ) 100m 1/100 1991 100m 3 9 96 484
()100m CHRONO DASH IC 485
10 100 1 30.303cm 1 15453cm 1 18241c 1.2 1.09 (1.09) 1.2 486
3 1 5 95.5cm 6 3 191cm 3 5 6 1 3 6 2 9 87.9cm 5 8 175.8cm 2 8 5 6 1.091 487
365.2422 4 366 100 1900 2100 365 400 1600 2000 366 365 365.2422 0.2422 365.2422 365 0.2422 1 0.2422 1 0.2422 0.2422 4.1288 4.1288 4 1 366 1 0.2422 0.9688 0.2422 4 0.9688 4 0.0312 0.9688 0.0312 4 0.0312 128.2051 128 128 4 128 100 4 0.0312 100 0.0312 4 100 0.78 100 0.22 400 366 488
489
490
491
10 100 /10/100 1000 JAN EAN )JAN 1000 1 3 1 3 1 3 1 3 1 3 1 3 10 10 4 +27 +0 +3 +2 +9 +4 +15 +6 +21 +8 +27 =126 10 12 6 10 6 4 12 100 10 0.1% 0.1% 0.10.10.01 100 492
JAN 4 +27 +0 +3 +2 +9 +4 +15 +6 +21 +8 +27 =126 10 12 6 10 6 4 493
110 70 1 100 1 200 1 100 1 1 100100 1 200 20050 1 100 1 100 1 1 494
1 100 1 200 1 100 1 200 1/100 1 1/200 1 1 100 1 1 495
496
497
0 5 5 50 80 5 10 60 70 1 7 7 65 16.74 21.23 75 10.03 13.14 85 5.25 6.89 498
499 16