We consider n independent, identically distributed one-dimensional Brownian motions, Bj(t), where Bj(0) has a rapidly decreasing, smooth density function f . The empirical quantiles, or pointwise order statistics, are denoted by Bj:n(t), and we are interested in a sequence of quantiles Qn(t) = Bj(n):n(t), where j(n)/n → α ∈ (0, 1). This sequence converges in probability in C[0,∞) to q(t), the α...

suppose that a provisional path of coordinated motion has been planned for two rigid polyhedral bodies B1 and B2 in 3-space. Then there will exist functions RI(t), R*(t), x1(t), x2(t) of a parameter t designating time such that the set of points occupied by Bj at time t is Rj(t)Bj + xj(t). TO verify the validity of the proposed motion, one can proceed as follows: find the minimum distance 6 bet...

This study examined the intelligibility of native and Mandarin-accented English speech for native English and native Mandarin listeners. In the latter group, it also examined the role of the language environment and English proficiency. Three groups of listeners were tested: native English listeners (NE), Mandarin-speaking Chinese listeners in the US (M-US) and Mandarin listeners in Beijing, Ch...

Under weaker condition than that of Riedi & Mandelbrot, the Hausdorff (and Hausdorff-Besicovitch) dimension of infinite self-similar set K ⊂ R which is the invariant compact set of infinite contractive similarities {Sj(x) = ρjRjx + bj}j∈N (0 < ρj < 1, bj ∈ R , Rj orthogonal) satisfying open set condition is obtained. It is proved (under some additional hypotheses) that the β-mean quadratic vari...

j=1 |X ′ pZjXp + c−1X ′ pXp|b −aj j , where Zj = diag(ztjpr, t = P + 1, . . . , n). Note that ztjpr takes on the same value (zero or one) for all t ∈ {1 + (s − 1)L, . . . , sL}. The expressions for aj and bj are aj = 1 2 ∑n t=P+1 zjtpr + α and bj = 1 2 yMjy ∗ + β, where Mj = Zj − ZjXp(X ′ pZjXp + c−1X ′ pXp) −1X ′ pZj. 3. Let psjpr = sL ∏ t=1+(s−1)L p(yt|xt−1;φjpr, σ jpr). Draw the indicators f...

The objective of this in vitro study was to evaluate the effects finishing protocols and oral hygiene procedures on surface mechanical properties CAD/CAM ceramics. Specimens (n = 96, (15x10x2mm) leucite glass-ceramic (LGC) feldspathic ceramic (FP) received polishing or glazing. Surface roughness (Ra) microhardness (VHN) were obtained with a profilometer hardness tester, respectively, before aft...

Let T be the Calderón-Zygmund operator, Coifman, Rochberg and Weiss (see [4]) proves that the commutator [b, T ](f) = bT (f) − T (bf)(where b ∈ BMO(R)) is bounded on L(R) for 1 < p <∞. Chanillo (see [2]) proves a similar result when T is replaced by the fractional operators. In [8, 16], Janson and Paluszynski study these results for the Triebel-Lizorkin spaces and the case b ∈ Lipβ(R), where Li...

voltages and currents are induced into electronic circuit boards as electromagnetic waves are radiated on them. the strength of induction depends on the wavefront and the circuit board characteristics. in this paper, by solving maxwell’s equations using fdtd method and then by extending it by three dimensional simulation using the gpml criteria for boundary conditions and tf/sf technique, effec...