This is a geometric approach to spatial involute gearing which has recently been developed by Jack Phillips (2003). After recalling Phillips' fundamental theorems and other properties, some geometric questions around this interesting type of gearing are discussed.

We study the simultaneous approximation properties of the Bézier variant of the well known Phillips operators and estimate the rate of convergence of the Phillips-Bézier operators in simultaneous approximation, for functions of bounded variation.

There are at least two broad categories of interpretation to consider when examining observations on a country’s output-inflation relationship (a country’s Phillips curve). On the one hand is the traditional interpretation, which emphasizes how such a relationship mainly reflects a country’s wageand price-setting institutions. In this case, the Phillips curve is viewed primarily as a structural...

We discuss some of the experimental motivation for the need for semigroup decay laws, and the quantum Lax-Phillips theory of scattering and unstable systems. In this framework, the decay of an unstable system is described by a semigroup. The spectrum of the generator of the semigroup corresponds to the singularities of the Lax-Phillips S-matrix. In the case of discrete (complex) spectrum of the...

This paper presents three new systematic approaches for computing coefficient matrices of the Heffron-Phillips multi-machine model (K1, …, K6). The amount of computations needed for conventional and three new approaches are compared by counting number of multiplications and divisions. The advantages of new approaches are: (1) their computation burdens are less than 73 percent of that of convent...

At the core of modern macroeconomics is some version or another of the famous Phillips curve relationship between inflation and unemployment. The Phillips curve, both in itspriginal and more recently reformulated expectations-augmented versions, has two main uses. In theoretical models of inflation, it provides the so-called “missing equation” that explains how changes in nominal income divide ...