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When the data for estimating a function contains errors in the independent variable, the likelihood contains the unknown true values of the independent variable as nuisance parameters. These can be… (More)

A set of bi-orthogonal pairs of functions is derived which is especially suited for the calculation of the gravitational field of flat galaxies. The functions are Hankel tranforms of associated… (More)

The simplest method of calculating gravitational fields is to use a set of biorthogonal pairs of mass-potential functions. A suitable set of functions for three dimensional mass distributions is… (More)

This paper describes methods of calculating the response of a flat galaxy of stars to a perturbation which can depend on time and on angle. The starting point is the response to a pulse: the response… (More)

For pt.I see ibid., vol.8, 16 (1975). Spin operators in a path integral can be collected into a path operator, which appears quite separate from the action and outside the exponential. In this way… (More)

In a previous paper, the author suggested that the universe could have been homogenized when the particle horizon was smaller than the Compton wavelength of the pion. This hypothesis also explains in… (More)

The very early universe must have been extremely homogeneous, even on scales far exceeding the particle horizon. Within the framework of the standard Friedmann cosmology, homogenization can only be… (More)