We propose a framework for the unified analysis of mixed methods for elasticity with weakly symmetric stress. Based on a commuting diagram in the weakly symmetric elasticity complex and extending a previous stability result, stable mixed methods are obtained by combining Stokes stable and elasticity stable finite elements. We show that the framework can be used to analyze most existing mixed me...

In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.

In this paper, we study the correlation of tissue (i.e. prostate) elasticity with the spread and aggression of prostate cancers. We describe an improved, in-vivo method that estimates the individualized, relative tissue elasticity parameters directly from medical images. Although elasticity reconstruction, or elastograph, can be used to estimate tissue elasticity, it is less suited for in-vivo ...

An elasticity summarizes a large amount of information in a single number. Levels and distribution of incomes, price levels of the specific good and of substitute and complementary goods, preferences and tastes, transaction costs, etc., can, ceteris paribus, affect the measured value of any particular demand-price elasticity. The elasticity concept normalizes for the measurement scales (e.g., p...

This paper describes a noninvasive method for evaluating regional elasticity of atheroma by measuring the minute change in thickness of the arterial wall during one heartbeat. By comparing the pathological findings with the elasticity images, elasticity distributions for lipid and fibrous tissue (mixture of smooth muscle and collagen fiber) were determined in vitro. Furthermore, to characterize...

In this paper we introduce a scale elasticity measure based on directional distance function for multi-output-multi-input technologies and explore its fundamental properties. Specifically, we derive necessary and sufficient condition for equivalence of the scale elasticity measure based on the directional distance function with the input oriented and output oriented scale elasticity measures. W...

abstract the purpose of this paper is estimation of the effective factors on tea supply in gilan province by using time series data during 1360-1390 in the form of nerlove model. according to the results, explanatory variables of the model could describe 97 percent of dependent variable (product supply) changes. the results show that the guaranteed price index of green tea leaf with elasticity ...

In recent years, the diagnostic confidence of B-mode ultrasound has been strengthened by innovations including tissue Doppler techniques and imaging of tissue elasticity. Elasticity is the ratio of the strain (pressure) required to induce relative elongation or distention (Figure 1). The intrinsic elasticity of biological tissue is altered by physiologic aging and pathologic processes such as i...

In the present study, small scale effect on critical buckling loads of triangular nano- composite plates under uniform in-plane compression is studied. Since at nano-scale the structure of the plate is discrete, the size dependent nonlocal elasticity theory is employed to develop an equivalent continuum plate model for this nanostructure incorporating the changes in its mechanical behavior. The...