analysis parousiash sfalmata

7/23/2019 Analysis Parousiash Sfalmata

1/27

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3/27

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4/27

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x3... (. .1). n, n . .1.


5/27

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x (. .2), ni,

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6/27

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n xi(i= 1, 2,..., n)

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7/27

11

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n. x 0 n , x x0,

f(x), . .2. f(x)

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Gauss.

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Gauss

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x x + dx f(x)dx. , x1x2 x x1x2(. .3).

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8/27

12

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68,3 %>> >> >> 95,4 %>> >> >> 99,8 %

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10 ( ) 400

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x0 0. x0

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s n [. (.3)].

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9/27

13

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10/27

14

I,

, x 1 968,1 -1,59 2,53

2 972,3 2,61 6,81

3 970,5 0,81 0,66

4 969,0 -0,69 0,48

5 967,2 -2,49 6,20

6 971,1 1,41 1,99

7 969,6 -0,09 0,01

:x= 969,7 0,7 mm(7 ).

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11/27

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mm.

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12/27

16

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13/27

17

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f u, ,

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||

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1. r= 9,73 0,01 m.

= 2r = 2r= 29,73 =

61,135 m = 2r= 20,01 = 0,06 m. = (61,14 0,06) m.

S= r2 S = 9,732= 297,42 m2.

S S = ( S/ r)r = 2 rr. S = 29,730,01 = 0,6 m2.

,S= 297,4 0,6 m2.

2.

( ) ( )

() ()


14/27

18

3.

k u, w,

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15/27

19

.4.1.1. .

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III.

1 2 3 4

2 15 100 2400

0,3 0,18 0,243 0,8900

0,004 0,020 0,00140 0,03051

410- 2,010- 1,4010- 3,40110-

810 0,9910 4,0510 1,30010

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0, 1, 2, 3 4, . 5, 6, 7, 8 9,

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10 .: 1432 = 1,432103~ 1,43103 1506 ~ 1,51103.

1432 ~ 1430 .,

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, 1,2103 m 1,2 km.

40 410. ,

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16/27

20

.4.1.2.

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>> n=200 >> 5 %

>> n=5000 >> 1 %

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D= 2,3 cm ( ), S = D2/4 = 4,154756285 cm2

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4,20 0,13 43,3 2,4 (8,12 0,22)105

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17/27

21

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18/27

22

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19/27

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20/27

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21/27

25

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22/27

26

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xy

y=+x (.19)

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(.19) yi .

xi , y

(.19) a+xi. , yi. (xi,

yi)

. .10.


23/27

27

a

di .

S

a:

T a a .

a di= yia xi

[d2]. :


24/27

28

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V

y = a + x

( )

xi yi xiyi xi2 di di

2

0,0 4,6 0,0 0,0 -0,04 0,0016

1,0 7,1 7,1 1,0 0,14 0,0196

2,0 9,5 19,0 4,0 0,22 0,0484

3,0 11,5 34,5 9,0 -0,10 0,0100

4,0 13,7 54,8 16,0 -0,22 0,0484

5,0 15,9 79,5 25,0 -0,34 0,1156

6,0 18,6 111,6 36,0 0,04 0,0016

7,0 20,9 146,3 49,0 0,02 0,0004

8,0 23,5 188,0 64,0 0,30 0,09009,0 25,4 228,6 81,0 -0,12 0,0144

45,0=[x] 150,7=[y] 869,4=[xy] 285,0=[x ] 0,3500=[d]

n=10


25/27

29

.7. a y= a +x.

a , (yi, xi).

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50% .

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a, y.

a (. . .11):

1.

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y 1 a1,

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2.

. y= a2+ 2x, y, 2 a2,

. a

.11. , ,

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26/27

30

a a

y= a+x. .11.

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x= 0 x= 13. :

: (x= 0 y= l,7) (x= 13,0 y= 10,3)

1: (x= 0 y= 2,2) (x= 13,0 y= 9,6)

2: (x= 0 y= 1,2) (x= 13,0 y= 10,7)

.

y :

a= 1,7, a1= 2,2, a2=1,2

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(.30),

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27/27

n x xi(i=1,2,n), :

(.33) x (1) .

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a , , , a , ( .6)

( .7).

1. J. Topping.Errors of Observation and their treatment. (Institute of Physics, London).

2. G.L. Squires.Practical Physics. (McGraw-Hill, U.K.).

3. P.R. Bevington.Data Reduction and Error Analysis for the Physical Sciences.

(McGraw-Hill, N.Y.).

4. H. Young. Statistical Treatment of Experimental Data. (McGraw - Hill, N.Y.).

5. N.C. Barford.Experimental Measurements: Precision, Error and Truth. (Addison

Wesley, Reading, Mass.).6. S.L. Meyer.Data Analysis for Scientists and Engineers. (J. Wiley and sons, N.Y.).

analysis parousiash sfalmata

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