A packing function is a bijection between a subset V ⊆ Nm and N, where N denotes the set of non negative integers N. Packing functions have several applications, e.g. in partitioning schemes and in text compression. Two categories of packing functions are Diagonal Polynomials and Box Polynomials. The bijections for diagonal ad box polynomials have mostly been studied for small values of m. In a...

Two weighted compression schemes, Weighted Least Squares (wLS) and Weighted Principal Component Analysis (wPCA), are compared by considering their performance in minimizing both spectral and colorimetric errors of reconstructed reflectance spectra. A comparison is also made among seven different weighting functions incorporated into ordinary PCA/LS to give selectively more importance to the wav...

How can one justify the secession of a territory from a liberal-democratic state of the kind currently prevalent in North America and Western Europe? The question does not primarily concern a mutually agreed secession, such as that of Norway from the United Kingdoms of Norway and Sweden in 1905. If the government and legislature of the ‘parent state’ freely agree to a secession of a part of its...

The drivers and passengers of two cars which collided head-on all wore lap and diagonal seat-belts. Three of the four suffered ruptured viscera and two incurred flexion-compression fractures of the neck.A victim of a traffic accident who was wearing a seat-belt and who has superficial bruising or pain presents a difficult diagnostic problem. Visceral injury should be suspected in such cases.

Matrices with low-rank off-diagonal blocks are a versatile tool to perform matrix compression and to speed up various matrix operations, such as the solution of linear systems. Often, the underlying block partitioning is described by a hierarchical partitioning of the row and column indices, thus giving rise to hierarchical low-rank structures. The goal of this chapter is to provide a brief int...

In this paper a non-diagonal regulator, based on the QFT method, is synthesized for an uncertain MIMO plant whose output and control signals are subjected to hard time-domain constraints. This procedure includes the design of a non-diagonal pre-controller based on a new simple approach, followed by the sequential design of a diagonal QFT controller. We present a new formulation for the latter s...

The masonry tensile strength and shear modulus play a key role in the definition of capacity structures. These properties are often determined experimentally by means diagonal compression test on square walls, which is regulated ASTM E519 standard. In spite its wide use, interpretation still controversial no universal criterion exists how to derive mechanical from wall overall strength. Aiming ...