| Some applications of the Discrete Fourier Transform (DFT) in coding and in cryptography are described. The DFT over general commutative rings is introduced and the condition for its existence given. Blahut's Theorem, which relates the DFT to linear complexity, is shown to hold unchanged in general commutative rings. I. The (Usual) Discrete Fourier Transform Let be a primitive N th root of uni...

FTIR difference spectroscopy is widely used to probe molecular bonding interactions of protein-bound electron transfer cofactors. The technique is particularly attractive because it provides information on both neutral and radical cofactor states. Such dual information is not easily obtainable using other techniques. Although FTIR difference spectroscopy has been used to study cofactors in biol...

PURPOSE The purpose of this study was to assess the relationship between baseline caries experience and the restoration replacement rate in children. METHODS The 5-year New England Children's Amalgam Trial recruited 534 6- to 10-year-old children with 2 or more carious posterior teeth. The association between decoy and longevity of restorations was assessed. Restorations with no follow-up (N ...

tacrine (9-amino-1,2,3,4-tetrahydroacridine) as a reversible inhibitor of acetylcholinesterase (ache),was the first drug for the symptomatic treatment of alzheimer’s disease (ad). nmr structuredetermination still presents some considerable challenges: the method is limited to systems ofrelatively small molecular mass, data collection times are long, data analysis remains a lengthyprocedure, and...

A new implementation of density functional theory (DFT), namely orbital-corrected orbital-free (OO) DFT, has been developed. With at most two non-self-consistent iterations, OO-DFT accomplishes the accuracy comparable to fully self-consistent Kohn-Sham DFT as demonstrated by its application on the cubic-diamond Si and the face-centered-cubic Ag systems. Our work provides a new impetus to furthe...

The two-layered ONIOM(B3LYP:MNDO) method has been used to investigate the hydrolytical mechanism of matrix metalloproteinases (MMPs), a large family of zinc-dependent endopeptidases capable of degrading a wide range of macromolecules of the extracellular matrix. Human stromelysin-1 (MMP-3) was chosen as a physiologically important member of the MMP family. As a structural reference, X-ray data ...

For many years, the semiconductor industry has been predicting the emergence of DFT tester market, enabled by increasing number of devices being designed with DFT methodologies such as scan and BIST. The search for low cost DFT tester solutions has resulted in the first ITRS roadmap for a DFT tester in 1999 and a major revision of this roadmap in 2001. While it is generally understood that a DF...

In many applications of multilevel/multiscale methods, an active zone must be modeled by a high-level electronic structure method, while a larger environmental zone can be safely modeled by a lower-level electronic structure method, molecular mechanics, or an analytic potential energy function. In some cases though, the active zone must be redefined as a function of simulation time. Examples in...