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1 3,,, ,, A4 1mm 10 1, 21.06cm, 21.06cm?, 10 1,,,, i),, ),, ),, x best ± δx 1) ii), x best ), δx, e,, e = ± ) [C] 2) i) ii), 1) x best δx<x<x best + δx ),, e = ) [C] 3) 3.1.2,,, x 10 d m d m 1 d 0.d 1 d 2 4) d m 0), d m d l+1 d l 1) <x<d m d l+1 d l +1) 5), d m d l d l 1 1) <x<d m d l d l 1 +1) 6),, d m d l iii),, m l +1,, 6,, , , < < , < < iii) [4] [5], [3],, 1

2 , , 5, 1), x best,, , ± , ± ) iv),,, , ,,, ,,, < < , < < , < < < < 1.34, 1.2 < < 1.4, , 2,,, ),, ± ) iv), 7) 15024, 5, [3], 7) , 6,,, ± ),,,?,, 1,, 8), 1.34 ± ) ,, 0, 10 l, ±1 10 l v),, x = ),, <x< ) x =1.2 ± 0.1) ) vi) v) [5] vi) 12), ), 11) 12) 2

3 3.1.4, 2?,,,,,,,,,,, 2), 2,,, 1 2,, 3.1.2,, ,,,,,, 3.1.5,, , ±1, ± 1,, ± 0.01cm, 0.01cm ,,,, 1,,, 3.1.7, 1), δx x best δx, δx x best δx 13) x best, 3.1.8,,,,, V, I, R, R R = V I 14) 3

4 , ±δv, ±δi,?, V δv + δi V + δv R δi 15),,, δi I, 1 ±δi = ± δi 1 1 δi ) 16) vii) 16) 15), V ±δv = V 1 ± δv ) V, V V 1 δv V ) 1 δi 1+ δv V ) R ) 17) ) 1+ δi δv δi V, 17) δv δi V δv V δi,, V 1 δv V δi ) R V 1+ δv V + δi ), R δr V δv V + δi ), x 1,..., x ±δx 1,..., ±δx, y 1,...,y m ±δy 1,..., ±δy m, z = x x y 1 y m 18) vii) 1, r < 1, 1 r =1+r+r2 + = 1 1+r + r 2 r 0, r 2 r 1 r, r 2, 1 1+r 1 r δz δx δx + δy δy m 19), z = x 1 x y 1 y m 20) δz z δx1 x δx x + δy 1 y δy ) m 21) y m, z = fx 1,...,x ) 22) x 1,..., x z, x 1 x ±δx 1,...,±δx 1 f x 1 + δx 1,...,x + δx ), fx 1 + δx 1,...,x + δx ) fx 1,...,x ) + f δx f δx x 1 x, δz f x 1 δx f x δx 23) 23),,, 23),, [5], [6]) 3.1.9, 23),, 23),, 4

5 , 19) 19) δx 1,...,δx,δy 1,...,δy m, 1 ),,,, A 1.341, B 0.22, C , D = A + B + C 1, B, D B D =1.57 B + B B A B C 1: ),, 2,, G , H , I = G H,, I = ),,,, A,B δa, δb, AB A + δa)b + δb) AB = AδB + BδA + δaδb, δa B, δb A, δa δb,, 19) 21), 19) δx 1 x 1,..., δx x, δy 1 y 1,..., δy m y m, ), 1,,, A 1.341, B 0.22, E = A B, A 0.001/ , B 0.01/ , B E = A B , B 2, E 2 3, E =0.30, F = A/B, B F F = A/B ),, 2 2, F = :, 5

6 , ),,, 1 2,,,,,, 23) ,,,,,, 6km, 1, w km, w x?,,x) P x) 6km, x 6km, P x) x 6km, P x) x 6km P x) 1,, x, P x), 3 w,, x w x P x) 3 ) Px) : P x) x [km], P x), P x), 0 P x) 1, x 1 x 2 w x 1 w x 2, P x 1 ) P x 2 ), P x) x, w x 1 x 2 P x 2 ) P x 1 ) P x), P x), P x) px) x2 x 1 px)dx = x2 x 1 dp dx dx = P x 2) P x 1 ), w x 1 x 2,, x2 x 1 px)dx 24), 3 4 x x, x, 1 x, x 1 6 6, 3.2.2,, 6

7 px) 1.0 p 3 x, y), x y p 3 x, y) = p 1 x)p 2 y) , x [km] 4: px) px) x, x, m = xpx)dx 27), x σ,, 1 x m)2 exp[ 2πσ 2σ 2 ] 25) 1 x 2πσ t m)2 exp[ 2σ 2 ]dt 26) 2 x y, x, y, x y, x y, 5, 1,, 2, 1 2, 1 2, 5, 1,, 2, 1 2, 1 2 x p 1 x), y p 2 y), x y x, y) σ 2 = x m) 2 px)dx 28), x, x 5, 2,, 5-10 px) a) b) x 5:, 5, 25) m σ 2 7

8 3.2.5,, 27) 28),,,,, x, x 1,...,x, x i x j i j) m E = x x 29) 29), 2 V 2 MLE = x 1 E) 2 + +x E) 2 30), VUB 2 = x 1 E) 2 + +x E) 2 31) 1, θ x 1,...,x θx 1,...,x ), θ θ Lθ, x 1,...,x ) Lθ, x 1,...,x ) θ θ, θlθ,x 1,...,x )dx 1 dx = θ, θ θ, Lθ, x 1,...,x ) x 1,...,x θ, θ,,, 3.2.6, x 1,..., x,,,, i j,,?, x 1 x, 29) x i,,,, σ 2, σ 2 32),, 32) 3.2.7,,, ), 1 ) x 1,...,x, σ 2, x x σ 33), 1 8

9 ,,,, 36), x 2 i x i ) â x i y i = b x i y i 37) 3.3 2, 3.3.1, x, y, y = ax + b 34), b, a, x,, ax + b x1),...,x), y1),...,y), b k? a b â, b â, b, âx + b y, y âx + b y L = yi) âxi) b) 2 35) â b 35) â b 2, â b ± b â ±, 35), L â =0 L b = 0 36), â b 36) 37) â, b a b y, y i j i j), â b a b 3.3.2, 2 2, y ξ =ξ 1,...,ξ ) T y = α T ξ + β 38) β α = α 1,...,α ) T, x y,, x =ξ 1,...,ξ, 1) T 39) a =α 1,...,α,β) T 40), 38) y = a T x 41), x y, i x xi), i y yi) N x1),...,xn) y1),...,yn), a, a? a â, â yi) â T xi), 2,, N L c = yi) â T xi) ) 2 42) â 9

10 â i â i, x i k x k i) i =1,...,N) L â k 2, â k ± L c +, 42), k L c â k, L c â k = 2 = 2 +2 N yi) â T xi) ) x k i) N yi)x k i) 43) N â T xi)x k i) k 43) N N yi)x k i) = â T xi)x k i) 44) 44) k 1 +1,, T η = yn),...,y1)) 45) ) X = xn),...,x1) 46) η T X T = â T XX T 47) 47) 47) â a 47) â, xi), yi), i j yi) yj), a, XX T, 47) XX T, a â T = η T X T XX T ) 1 48), 48) â,, XX T, 48), LU XX T, 47), XX T, a ),, a 47), 47) â ,,, ),,, x, x 10

11 1 x m)2 exp[ 2πσ 2σ 2 ] 2 x y, x, y, x y x px), xpx)dx px) m x, x m) 2 px)dx x 1,...,x x x x 1,...,x x 1 E) 2 + +x E) 2 E ) x 1,...,x x 1 E) 2 + +x E) 2 1 E ) θ x 1,...,x, θ, x 1,...,x ) θ z = x x y 1 y m : δz = δx δx + δy δy m z = x 1 x : y 1 y m δz z = δx1 x δx x + δy 1 y δy ) m y m z = fx 1,...,x ) : δz = f x 1 δx f x δx σ 2 σ 2 : 2 y = ax a : ) η = yn),...,y1), X =, â η T X T = â T XX T 3.5 ) xn),...,x1) [5],, [5] 3, 5, 2 8,, 2 [5], [5] [5],, [6] 11

12 [5] [6],,,,,,, [2],,, [1], [1], :, 1985) [2] :, 1985) [3] :, 1997) [4] :, 1984) [5] J. H. Taylor:, 2000) [6] :, 1989) 12

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