By Kang S.-J., Kim M.-H., Lee I. (eds.)
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Extra info for Lie Algebras and Their Representations
Metrologia 6, 118 (1970). 39 Xi &&. (a 1 Idea, or Defined Time Scale I €5) I J -xi . Ideal Time Scale I I . M i . (b) E 1 = Z Ej j=1 + Idea I Time Scale i=i Fig. 1 i ( a ) L i n e a r d r i f t of t i m e . (b) T i m e e r r o r , x , due to r a n d o m 1 n o i s e s and i t s p r e d i c t i o n e r r o r , F , ( c ) A g r o u p of p r e d i c t e d t i m e e r r o r s , 8 ,and the e n s e m b l e t i m e , T . h 40 Prediction Interval Calibration Interval hT hT hT hT 4 2 QL Api:r;ach 41 T I I @2 -4L-I Fig.
An e x a m p l e of t h e c a l i b r a t i o n s p a c i n g i s shown f o r L = 2 . 2 Cont. 05t CK 0 1 0 1 2 3 4 5 Fig. 5 Optimum f i l t e r r e s p o n s e functions by a p p r o a c h A . f r e f e r t o white and f l i c k e r n o i s e F M , r e s p e c t i v e l y . 44 0 and f -1 Cat ibrat ion Interval Prediction Interval Fig. 6 Approach B. 5 0 1 2 3 4 5 6 7 Position o f Calibration W,) Fig. 7 Mean s q u a r e p r e d i c t i o n e r r o r by a p p r o a c h B a s a function of position of a c a l i b r a t i o n .
R . , Hall, R. G . , P e r c i v a l , D. B . , M e t r o l o g i a 6, 1 2 6 (1970). c31 Mungall, A. G . , M e t r o l o g i a 7, 146 (1971). c41 7, 79 (1971). Allan, D. W . , G r a y , J. E . , M e t r o l o g i a - r51 P r o g r a m and A b s t r a c t s of International S y m p o s i u m on A l g o r i t h m s u s e ? in Calculation of Atomic T i m e S c a l e s , Boulder, C o l o r a d o , 30 June and 1 J u l y 1972. Guinot, B . , Granveaud, M . , a p a p e r p r e s e n t e d at t h e above symposium.
Lie Algebras and Their Representations by Kang S.-J., Kim M.-H., Lee I. (eds.)