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By Saul A. Basri

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Y % ( Ac)fi. , PI. 5. Time metric A %? metric space z(a, b) %? : T(a, b)>0, z ( a , b)=O++a=b, r ( a , b)=T(b,a), T ( a , < z(a, b ) T (b,c). + t metric in the space %?. on 8, by D1. S C , A , by A a, b by A a, b A, on a b. s(A;a,b;n), for n d A a , b . S P q , A A (3 X , ~ 1 . )U n + 2 %’/ X , A),, 9 59 51 A :u1

PlYP2 A 02. T6. Proof. a EW(P)H+a E €(If) A P E B ( H ) . +W(P1),, -W(p,),. (2,6), TI. a,b on P 40 293 SIGNALS a b a, b, a b, aF,b T7. Proof. Hb. T8. Proof. a--,b 02, Proof. P= v P y Q v Q Y P . + W ( P ) , =w(Q)H. 02. bEW(P)H+a € ~ ( P ) H . A 3. Signal relation So by by no C8. Y. E, #j’ 1 8 . ‘(a,b, H ) E Y’ a p’. on a, b ‘a is the start of a signal that ends at ‘ ( a ,b, H ) E Y ’ b, for H ’ . by 0 by book. C8 by eight C8. Y A8. by 69, by %,9. C1 v 31 41 SIGNAL RELATION : D1. YHb f o r Y,, P2.

U,,+ 2 %r/x,A)t, A (01 .. 4(b, c<,,b<,,u) ‘)If‘ I VI 5,6] COMPARISON 61 TIME INTERVALS 6. , X,, 62 CLOCKS AND TIME INTERVALS [VI 6 b)H= n,, . , zxk(a,b)H= nk, ini’ lz= k 1 t, E, 16, in probability ti p. t n, pp. F, , 6 E LZ A& A < 1+(3 r ) r €9A (V k). )n k ) . B Y V ( X , , ... X& A zx,( a , b)Ii= n I A . . A z x k( a , b)H= nk-+ P{ I? -i t 1 > E } I 6. (z,(a, b),) z,(a, b)H. (T,(u, b),) for (7 ) 02. V{t,4(a, b)H} for b)H-

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