A quantitative structure-activity relationship (QSAR) model relating electrotopological state (E-state) indices and mutagenic potency was previously described by Cash [Mutat. Res. 491 (2001) 31-37] using a data set of 95 aromatic amines published by Debnath et al. [Environ. Mol. Mutagen. 19 (1992) 37-52]. Mutagenic potency was expressed as the number of Salmonella typhimurium TA98 revertants pe...

c c,-1 = f(a,,-z, ..., aora,,-1, L 2 , ..., bo, h 1 ) (4) The result is easy to show since f(u,-*, ..., a,, U,,,-,, b,n.2, ..., bo, b,,) is the first bit of l o ~ ( o ( a ) + o(p)) = logr(o(y)) = ( ~ ( c ) ) ~ , the first bit of which is cm-,. The argument is repeated for the other bits. This shows that the same f can be used to calculate each bit of the logarithmic representation of y = a + 0....

We define the class of Left Located Divisor (LLD) meromorphic functions and their vertical order m0(f) and their convergence exponent d(f). When m0(f) ≤ d(f) we prove that their Weierstrass genus is minimal. This explains the phenomena that many classical functions have minimal Weierstrass genus, for example Dirichlet series, the Γ-function, and trigonometric functions. 1. LLD meromorphic funct...

Auditory evoked potential (AEP) responses were recorded during echolocation in an Atlantic bottlenose dolphin (Tursiops truncatus) trained to accept suction-cup EEG electrodes and detect targets by echolocation. AEP recording was triggered by the echolocation clicks of the animal. Three targets with target strengths of -34, -28 and -22 dB were used at a target distance of 2 to 6.5 m for each ta...

We generate stellar distribution functions (DFs) in triaxial haloes in order to examine the reliability of slopes Γ ≡ ∆logM/∆logr inferred by applying mass estimators of the formM ∝ Reσ 2 (i.e. assuming spherical symmetry, where Re and σ are luminous effective radius and global velocity dispersion, respectively) to two stellar sub-populations independently tracing the same gravitational potenti...

We present a generic fetch-and-φ-based local-spin mutual exclusion algorithm, with O(1) time complexity under the remote-memory-references time measure. This algorithm is “generic” in the sense that it can be implemented using any fetch-and-φ primitive of rank 2N , where N is the number of processes. The rank of a fetch-and-φ primitive is a notion introduced herein; informally, it expresses the...

Aims. We present a study of the density profile of the remote M31 globular cluster B514, obtained from HST/ACS observations. Methods. Coupling the analysis of the distribution of the integrated light with star counts we are able to reliably follow the profile of the cluster out to r ∼ 35 ′′ , corresponding to ≃ 130 pc. The profile is well fitted, out to ∼ 15 core radii, by a King Model having C...

Detailed box counting analysis was conducted of (1) fractures observed in exposures of the Devonian Shale in the central Appalachians Valley and Ridge Province of West Virginia, (2) several fracture patterns presented in the literature, and (3) active faults mapped throughout the main island (Honshu) of Japan. Box curves reveal, with few exceptions, that most naturally occurring fracture patter...

Let M be a closed manifold, ρ a representation of π1(M) on an A-Hilbert model W of finite type (A a finite von Neumann algebra) and μ a Hermitian structure on the flat bundle E → M associated to ρ. The relative torsion, first introduced by Carey, Mathai and Mishchenko, [CMM], associates to any pair (g, τ), consisting of a Riemannian metric g on M and a generalized triangulation τ = (h, g), a nu...

We study the composition question for bounded-error randomized query complexity: Is R(f ◦ g) = Ω(R(f)R(g)) for all Boolean functions f and g? We show that inserting a simple Boolean function h, whose query complexity is only Θ(logR(g)), in between f and g allows us to prove R(f ◦ h ◦ g) = Ω(R(f)R(h)R(g)). We prove this using a new lower bound measure for randomized query complexity we call rand...