For a Boolean function f , define ∆f (α) = ∑ x f̂(x)f̂(x⊕ α), f̂(x) = (−1)f(x), the absolute indicator ∆f = maxα6=0 |∆f (α)|, and the sum-of-squares indicator σf = ∑ α ∆ 2 f (α). We construct a class of functions with good local avalanche characteristics, but bad global avalanche characteristics, namely we show that 22n(1 + p) ≤ σf ≤ 2,∆f = 2n, where p is the number of linear structures (with even...

The reliability of consecutive-k-out-of-n: F system (or C(k, n: F) system) has aroused great interest since it was first studied by Kontoleon in 1980 [1]. The system consists of a sequence of n ordered components along a line such that the system fails if and only if at least k consecutive components in the system have failed. A list of typical applications of C(k, n: F) system was given by Yam...

In recent years the area of control for nonlinear systems has been the subject of many studies (Ghaebi et al., 2011; Toha & Tokhi, 2009; Yang & M., 2001). Computational advances have enabled more complex applications to provide solutions to nonlinear problems (Islam & Liu, 2011; Kaloust et al., 2004). This chapter will present an application of fuzzy estimators in the context of adaptive contro...

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Cr(1-x)Al(x) exhibits semiconducting behavior for x = 0.15-0.26. This Letter uses hard x-ray photoemission spectroscopy and density functional theory to further understand the semiconducting behavior. Photoemission measurements of an epitaxial Cr(0.80)Al(0.20) thin film show several features in the valence band region, including a gap at the Fermi energy (E(F)) for which the valence band edge i...

We describe an approach to interpreting LFG f-structures (Kaplan & Bresnan, 1982) truth-conditionally as underspeci-fled quasi-logical forms. F-structures are either interpreted indirectly in terms of a homomorphic embedding into Quasi al., 1994a) representations or directly in terms of adapting QLF interpretation clauses to f-structure representations. We provide a reverse mapping from QLFs to...