Worth, age, and social status in early modern England

This article introduces a new source for assessing the distribution of wealth in early modern England derived from witness depositions taken by the church courts. It discusses the accuracy of statements of ‘worth’ provided by thousands of witnesses between the mid-sixteenth and later seventeenth centuries, and uses the monetary estimates of worth in goods that the majority of deponents supplied to assess the changing distribution of personal wealth. We argue that this data supports recent claims that the pre-industrial English economy experienced significant levels of economic growth, while showing that its benefits were increasingly unevenly distributed between different social groups. In particular, the century after 1550 witnessed spectacular increases in yeoman worth that outstripped inflation by a factor of 10. The relative wealth of yeomen was also underpinned by its more secure distribution over the life cycle which further compounded the differences between them and other social groups

New Calculations of Recombination Rates for Cold 4^4He Atoms and Determination of Universal Scaling Functions

Three-body recombination rates for cold $^4$He are calculated with a new method which exploits the simple relationship between the imaginary part of the atom-dimer elastic scattering phase shift and the $S$-matrix for recombination. The elastic phase shifts are computed above breakup threshold by solving a three-body Faddeev equation in momentum space with inputs based on a variety of modern atom-atom potentials. Recombination coefficients for the HFD-B3-FCII potential agree very well with the only previously published results. Since the elastic scattering and recombination processes for $^4$He are governed by "Efimov physics", they depend on universal functions of a scaling variable. The newly computed recombination coefficients for potentials other than HFD-B3-FCII make it possible to determine these universal functions for the first time.Comment: 15 pages, 5 figure

Goldstone Theorem in the Gaussian Functional Approximation to the Scalar ϕ4\phi^{4} Theory

We verify the Goldstone theorem in the Gaussian functional approximation to the $\phi^{4}$ theory with internal O(2) symmetry. We do so by reformulating the Gaussian approximation in terms of Schwinger-Dyson equations from which an explicit demonstration of the Goldstone theorem follows directly.Comment: 11 page

Frequency based localization of structural discrepancies

The intent of modal analysis is to develop a reliable model of a structure by working with the analytical and experimental modal properties of frequency, damping and mode shape. In addition to identifying these modal properties, it would be desirable to determine spatially which parts of the structure are modelled poorly or well. It is shown how the pattern of discrepancies in the analytical and experimental test values for the pole and the driving point zero frequencies of a structure can be linked to discrepancies in the mass or stiffness of the structural elements. The success of the procedure depends on the numerical conditioning of a modal reference matrix. Strategies to insure adequate numerical conditioning require a formulation which avoids geometric and energy storage symmetries of the structure, and ignores structural elements which contribute negligibly small potential or kinetic energy to the excited modes. Physical insight into the numerical conditioning problem is provided by a numerical example and by localization of a mass discrepancy in a real structure based on lab tests

The Economic Cost of Domestic Hunger: Estimated Annual Burden to the United States

Examines the extent of domestic hunger and estimates the cost burden of food insecurity to the nation, including the costs of charity to help feed families, mental health and physical illnesses, and impaired educational outcomes and economic productivity

Structural response and input identification

Three major goals were delineated: (1) to develop a general method for determining the response of a structure to combined base and acoustic random excitation: (2) to develop parametric relationships to aid in the design of plates which are subjected to random force or random base excitation: (3) to develop a method to identify the individual acoustic and base input to a structure with only a limited number of measurement channels, when both types of excitation act simultaneously