Visual insights into a wide variety of statistical methods, for both didactic and data analytic purposes, can often be achieved through geometric diagrams and geometrically based statistical graphs. This paper extols and illustrates the virtues of the ellipse and her higher-dimensional cousins for both these purposes in a variety of contexts, including linear models, multivariate linear models ...

An axial magnetic field induces circular birefringence in optical fibers, resulting in the rotation of the polarization angle for a linearly polarized input (Faraday effect). The rotation angle is linearly proportional to the magnitude of the applied field. Accurate measurements of the polarization angle variation provide a means for monitoring the magnetic field. The Faraday effect in optical ...

The colour-magnitude relation (CMR) of cluster elliptical galaxies has been widely used to constrain their star formation histories (SFHs) and to discriminate between the monolithic collapse and merger paradigms of elliptical galaxy formation. We use a ΛCDM hierarchical merger model of galaxy formation to investigate the existence and redshift evolution of the elliptical galaxy CMR in the merge...

this paper investigated the effects of combining fibers with self-consolidating concrete (scc). 12 series of test specimens were prepared using three kinds of fibers including steel, polyphenylene sulfide (pps) and glass fibers with four different volumes fractions and one specimen without fibers as a reference sample. all plans were subjected to fresh concrete tests. for mechanical behavior of...

The goal of this paper is to propose efficient and adaptive regularized estimators for the nonparametric component, mean and covariance matrix in both high and fixed dimensional situations. Although, semiparametric estimation of elliptical distribution has also been discussed in [8], we wish to expand the model in two ways. First, study adaptive estimation methods with a novel scheme of estimat...

I review the current status of understanding when, how long, and how giant elliptical galaxies formed, focusing on the globular clusters. Several observational evidences show that massive elliptical galaxies formed at z > 2 (> 10 Gyr ago). Giant elliptical galaxies show mostly a bimodal color distribution of globular clusters, indicating a factor of ≈ 20 metallicity difference between the two p...

We determine relative stellar ages and metallicities mainly for about 80 elliptical galaxies in low and high density environments via the latest binary stellar population (BSP) synthesis model and test a latest hierarchical formation model of elliptical galaxies which adopted the new ΛCDM cosmology for the first time. The stellar ages and metallicities of galaxies are estimated from two high-qu...