Recent studies show that the D'' layer, just above the Earth's core-mantle boundary, is composed of MgSiO3 post-perovskite and has significant lateral inhomogeneity. Here we consider the D'' diversity as related to the single-crystal elasticity of the post-perovskite phase. We measure the single-crystal elasticity of the perovskite Pbnm-CaIrO3 and post-perovskite Cmcm-CaIrO3 using inelastic X-r...

This paper uses a panel of 21,618 people with rare surnames whose wealth is observed at death in England and Wales 1858-2012 to measure the intergenerational elasticity of wealth over five generations. We show, using rare surnames to track families, that wealth is much more persistent than standard one generation estimates would suggest. There is still a significant correlation between the weal...

NoSQL databases focus on analytical processing of large scale datasets, offering increased scalability over commodity hardware. One of their strongest features is elasticity, which allows for fairly portioned premiums and high-quality performance and directly applies to the philosophy of a cloudbased platform. Yet, the process of adaptive expansion and contraction of resources usually involves ...

In this paper, we derive the general integral representation formulas (IRFs) for the strain field and for the effective elasticity tensor of two-component elastic composites. The information about the contrast is represented by a rank-four tensor in the integrand while the information about the microgeometry is included in the Stieltjes measure of the IRF. The relation between the IRFs presente...

The design of curves and surfaces in C.A.D. systems has many applications in car, plane or ship industry. Because they offer more flexibility, rational functions are often prefered to polynomial functions to modelize curves and surfaces. In this work, several methods to generate rational Bezier curves and surfaces which minimize some functionals are proposed. The functionals measure a technical...

This paper is devoted to calculating the Cartesian stiffness matrix of a translational parallel manipulator with elastic joints. The calculation takes into account the contribution of the Jacobian variation because of the change of manipulator configuration due to the elasticity and it covers the entire theoretical workspace of the manipulator. Three kineto‐static adimension...

The strength of the behavioral response to a tax rate change depends on the environment individuals operate in, and may be manipulated by instruments controlled by the government. We first derive a measure of the social benefit to affecting this elasticity. The paper then examines this effect in the solution to the optimal income taxation problem when such an instrument is available, first in a...

We image semiflexible polymer networks under shear at the micrometer scale. By tracking embedded probe particles, we determine the local strain field, and directly measure its uniformity, or degree of affineness, on scales of 2-100 microm. The degree of nonaffine strain depends upon the polymer length and cross-link density, consistent with theoretical predictions. We also find a direct corresp...

We exploit the power of microrheology to measure the viscoelasticity of entangled F-actin solutions at different length scales from 1 to 100 microm over a wide frequency range. We compare the behavior of single probe-particle motion to that of the correlated motion of two particles. By varying the average length of the filaments, we identify fluctuations that dissipate diffusively over the fila...