By J H MATHEWS
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Extra info for FIREARMS IDENTIFICATION, V 2, ORIGINAL PHOTOGRAPHS AND OTHER ILLUSTRATIONS OF HAND GUNS
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F- 8ft = v-§x F+ - a . F-. 2) is called a telegraph equation, since the motion of the particle is the same as the signals of "points" and "dashes" in the Morse code. 2) be considered as a usual partial differential equation and, on the other hand, as a probabilistic equation, which is characterized by the parameter a. Really, if a = 0, then the probability of changing of the direction of the particle is equal to 0 and the latest moves all the time in one direction. Then F( ) _ J(x t,x - + v . t) + J(x 2 v .
109). Let Ta be the first exit moment from the set 9 E X: i Ta := inf{ t: t Xt ~ G}. 110) asrG-l-O,xo=xEX. 111) where symbol w means ~eak convergence in Boo. 109). Let R>.. and R be a resolvent and potential of semigroup T(t), respectively. 1 Resolvent R>.. 112) where ( is a lifetime for Xt. ,r < the resolvent and potential for MOF of Xt. 2 If h>.. := +00. 113) If h := Rj, then E[V(r)h(x T)]- h = -E faT V(t)f(Xt)dt. 112). ,r < +00, then E[V(r)h(XT)]-h = EfaT V(t)Ah(Xt)dt. 2. , (A)z operator of Markov process Xt.
If is a subgroup of cG of parallel transfers, and n is a subgroup g of rotations of Rn around 0, then V 9 E g: r 9 = t(g) . reg), t(g) E r, reg) En. 1, n, then the product g(n) = g1'" gn is expressed by g(n) = ten) . r(n), where r(n) = 7'1'" rn, t(n) = Ei=1 ti . A point x E ]Rn is expressed by the vector X, t E r -by the vector T, element r En-by the orthogonal matrix R, n x n. Then the point x . A group of elements r(n) and ten) is represented by the matrix R(n) = R;:;t ... Rl1 and by the vector T(n) = Ei=1 Ro··· R;-1 .
FIREARMS IDENTIFICATION, V 2, ORIGINAL PHOTOGRAPHS AND OTHER ILLUSTRATIONS OF HAND GUNS by J H MATHEWS
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