Detecting and Assessing the Problems Caused by Multi-Collinearity: A Useof the Singular-Value Decomposition

This paper presents a means for detecting the presence of multicollinearity and for assessing the damage that such collinearity may cause estimated coefficients in the standard linear regression model. The means of analysis is the singular value decomposition, a numerical analytic device that directly exposes both the conditioning of the data matrix X and the linear dependencies that may exist among its columns. The same information is employed in the second part of the paper to determine the extent to which each regression coefficient is being adversely affected by each linear relation among the columns of X that lead to its ill conditioning.

Point and shoot microvibrometry for biological applications

The capabilities of an experimental setup combining the functions of a conventional microscope with a custom built self-mixing interferometer to characterize the contractile motion of living cells in both the transversal and longitudinal directions were explored. The use of discrete wavelets to denoise experimental signals combined with the application of a Hampel filter was shown to outperform standard denoising methods found in the self-mixing literature. Furthermore, an efficient iterative method to reliably estimate the optical feedback level and the linewidth enhancement factor was developed. Experimental displacements of microspheres, used as phantoms for living cells, were reconstructed with a resolution better than 0.15 lambda using the proposed reconstruction method. These results substantiate the claim that the proposed reconstruction method will enable the measurement of the contractile motion of individual cardiomyocytes with a resolution approaching 100 nm

Technological change and productivity growth in the air transport industry

The progress of the civil air transport industry in the United States was examined in the light of a proposal of Enos who, after examining the growth of the petroleum industry, divided that phenomenon into two phases, the alpha and the beta; that is, the invention, first development and production, and the improvement phase. The civil air transport industry developed along similar lines with the technological progress coming in waves; each wave encompassing several new technological advances while retaining the best of the old ones. At the same time the productivity of the transport aircraft as expressed by the product of the aircraft velocity and the passenger capacity increased sufficiently to allow the direct operating cost in cents per passenger mile to continually decrease with each successive aircraft development

Enhancing visibility of graphene on arbitrary substrates by microdroplet condensation

In order to take advantage of the enormous potential of graphene for future electronic micro-circuits and other applications it is necessary to develop reliable, rapid and widely applicable methods to visualize graphene based structures. We report here on a micro-droplet condensation technique, which allows for quick visual identification of graphene on a variety of substrates, including some which were previously considered unsuitable for the visualization of carbon layers. The technique should also be applicable to visualize artificially patterned graphene structures which are expected to be key technologically enabling components in electronic micro-circuits and other applications.Comment: 12 pages, 3 figure

Quantum-enhanced absorption spectroscopy with bright squeezed frequency combs

Absorption spectroscopy is a widely used technique that permits the detection and characterization of gas species at low concentrations. We propose a sensing strategy combining the advantages of frequency modulation spectroscopy with the reduced noise properties accessible by squeezing the probe state. A homodyne detection scheme allows the simultaneous measurement of the absorption at multiple frequencies and is insensitive to dispersion across the absorption profile. We predict a significant enhancement of the signal-to-noise ratio that scales exponentially with the squeezing factor. An order of magnitude improvement beyond the standard quantum limit is possible with state-of-the-art squeezing levels facilitating high precision gas sensing.Comment: 7 pages, 3 figure