The problems of minimal state-space realization for a three-dimensional (3-D) separable-denominator digital filter and analysis of l2-sensitivity for the realized 3-D state-space model are investigated. First, a 3-D transfer function with separable denominator is expressed as a cascade connection of three one-dimensional (1D) transfer functions by applying a minimal decomposition technique. Nex...

Let G = (V,E,w) be a graph with vertex and edge sets V and E, respectively, and w : E → IR a function which assigns a positive weight or length to each edge of G. G is called a realization of a finite metric space (M,d), with M = {1, ..., n} if and only if {1, ..., n} ⊆ V and d(i, j) is equal to the length of the shortest chain linking i and j in G ∀i, j = 1, ..., n. A realization G of (M,d), i...

Let G = (V,E,w) be a graph with vertex and edge sets V and E, respectively, and w : E → IR a function which assigns a positive weigth or length to each edge of G. G is called a realization of a finite metric space (M,d), with M = {1, ..., n} if and only if {1, ..., n} ⊆ V and d(i, j) is equal to the length of the shortest chain linking i and j in G ∀i, j = 1, ..., n. A realization G of (M,d), i...

Let G = (V,E,w) be a graph with vertex and edge sets V and E, respectively, and w : E → IR a function which assigns a positive weigth or length to each edge of G. G is called a realization of a finite metric space (M,d), with M = {1, ..., n} if and only if {1, ..., n} ⊆ V and d(i, j) is equal to the length of the shortest chain linking i and j in G ∀i, j = 1, ..., n. A realization G of (M,d), i...

In positive systems inputs, state variables and outputs take only nonnegative values. Examples of positive systems are industrial processes involving chemical reactors, heat exchangers and distillation columns, storage systems, compartmental systems, water and atmospheric pollution models. A variety of models having positive linear systems behavior can be found in engineering, management scienc...

A unfied theory of four-dimensional gravity together with the standard model is presented, with supersymmetry breaking of M-theory at a TeV. Masses of the known particles are derived. The cosmological constant is quantum generated to the observed value. Quantum corrections to the classical compactification are analyzed, and the scenario is stable.

This paper examines the assumption that Australian English vowel variation within urban centres is restricted to broadness variation and is a consequence of socioeconomic rather than regional factors. The acoustic structure of vowel realisations for subjects across three different regions in Sydney is compared to shed some light on the theory of regional uniformity. 95 adolescent female speaker...

Previous research on the tone system of Yucatec Maya provides contradictory accounts which this paper intends to do away with, disentangling tonal and intonational effects. The first part presents the mere realisation of lexical high and low tones, the only tonal distinction we identify for Yucatec Maya. Second, we claim that in Yucatec Maya no interaction exists between intonation and lexical ...

Requirements concerning the construction of a minimal photosynthetic design cell with direct coupling of water-splitting photosynthesis and H2 production are discussed in the present paper. Starting from a cyanobacterial model cell, Synechocystis PCC 6803, potentials and possible limitations are outlined and realization strategies are presented. In extension, the limits of efficiency of all maj...

We introduce abacus diagrams that describe the minimal length coset representatives of affine Weyl groups in types C̃/C, B̃/D, B̃/B and D̃/D. These abacus diagrams use a realization of the affine Weyl group C̃ due to Eriksson to generalize a construction of James for the symmetric group. We also describe several combinatorial models for these parabolic quotients that generalize classical results in ...