Sigma-delta modulated systems have a number of very appealing properties and are, therefore, heavily used in analog to digital converters, amplifiers, and modulators. This paper presents new results which indicate that they may also have significant potential for general purpose arithmetic processing. The paper introduces new arithmetic processing structures for ternary (i.e., +1, 0, or −1) sig...

The cI protein of bacteriophage lambda (lambdacI) activates transcription by binding a DNA operator just upstream of the promoter and interacting with the RNA polymerase sigma subunit domain 4 (sigma(4)). We determined the crystal structure of the lambdacI/sigma(4)/DNA ternary complex at 2.3 A resolution. There are no conformational changes in either protein, which interact through an extremely...

The simple 7-dimensional Malcev algebra M is isomorphic to the irreducible sl(2,C)-module V (6) with binary product [x, y] = α(x ∧ y) defined by the sl(2,C)-module morphism α : Λ2V (6)→ V (6). Combining this with the ternary product (x, y, z) = β(x∧y) ·z defined by the sl(2,C)-module morphism β : Λ2V (6)→ V (2) ≈ sl(2,C) gives M the structure of a generalized Lie triple system, or Lie-Yamaguti ...

Phosphorylation of SpoIIAA catalyzed by SpoIIAB helps to regulate the first sporulation-specific sigma factor, sigma(F), of Bacillus subtilis. The steady-state rate of phosphorylation is known to be exceptionally slow and to be limited by the return of the protein kinase, SpoIIAB, to a catalytically active state. Previous work from this laboratory has suggested that, after catalyzing the phosph...

We construct ternary self-distributive (TSD) objects from compositions of binary Lie algebras, 3-Lie algebras and, in particular, Nambu-Lie algebras. show that the structures obtained satisfy an invertibility property resembling racks. prove these give rise to Yang-Baxter operators tensor product base vector space upon defining suitable twisting isomorphisms, we obtain representations infinite ...

In this paper, performance and area of conventional FIR (Finite Impulse Responce) filters versus ternary sigma delta modulated FIR filter is compared in FPGA (Field Programmable Gate Arrays) using VHDL (Verilog Description Language). Two different approaches were designed and synthesized at same spectral performance by obtaining a TIR (Target Impulse Response). Both filters were synthesized on ...