منابع مشابه
Rough Set Theory Applied to BCC-Algebras
In 1982, Pawlak introduced the concept of a rough set (see [6]). This concept is fundamental for the examination of granularity in knowledge. It is a concept which has many applications in data analysis (see [7]). Rough set theory is applied to semigroups and groups (see [4, 5]), and BCK-algebras (see [3]). In this paper, we apply the rough set theory to BCC-algebras, and we discuss the notion ...
متن کاملApplied Stochastic Processes Problem Set 3
Compute the Chernoff bound on P [X ≥ a] where X is a random variable that satisfies the exponential law f X (x) = λe −λx u(x). Recall, from Equation 4.6-4 on page 214 in [3], that the Chernoff bound for a continuous random variable X is given by P [X ≥ a] ≤ argmin t>0 e −at θ X (t) , (1) where θ X (t) is the moment-generating function θ X (t) E[e tX ] = ∞ −∞ e tx f X (x)dx (2) as defined by Equ...
متن کاملApplied Stochastic Processes Problem Set 8
Recall, from Theorem 8.1-2 on page 490 in [4], that a random process X(t) with autocorrelation function RXX(t1, t2) has a m.s. derivative at time t if ∂RXX(t1, t2)/∂t1∂t2 exists at t1 = t2 = t. Furthermore, we recall that the correlation function RXX(t1, t2) is related to the covariance function KXX(t1, t2) as follows. RXX(t1, t2) = KXX(t1, t2) + μX(t1)μX(t2) (1) For this problem we have a cons...
متن کاملRough set theory applied to lattice theory
In this paper, we intend to study a connection between rough sets and lattice theory. We introduce the concepts of upper and lower rough ideals (filters) in a lattice. Then, we offer some of their properties with regard to prime ideals (filters), the set of all fixed points, compact elements, and homomorphisms. 2012 Elsevier Inc. All rights reserved.
متن کاملApplied Stochastic Processes Problem Set 7
Problem 6.25 Consider a wide sense stationary random sequence X[n] input to a linear filter with impulse response h[n] = 1/2, n = {0, 1} 0, otherwise. (1) Write the PSD of the output sequence S Y Y (ω) in terms of the PSD of the input sequence S XX (ω). (a) Show that the PSD is real-valued, even if X[n] is a complex-valued random sequence. (b) Show that if X[n] is real-valued, then S XX (ω) = S...
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ژورنال
عنوان ژورنال: STOMATOLOGY EDU JOURNAL
سال: 2016
ISSN: 2360-2406,2502-0285
DOI: 10.25241/stomaeduj.2016.3(3-4).bookreview.1