Abstract:
This paper contributes to the literature on comparative performance of family and non-family businesses by accounting for self-selection and by comparing performance within and across sectors. Using an extensive data set of Dubai businesses in the four different major sectors in the Dubai economy (construction, manufacturing, services, and trading); we find that the sector matters. Family businesses outperform nonfamily businesses in trading, followed by construction as a far second. Performance of family businesses is weakest in manufacturing and services, only in trading did family businesses outperform nonfamily exporting businesses in other sectors. Reasons for that are discussed and policy implications are drawn. We also find strong evidence of self-selection bias.

Abstract:
The lag-luminosity relation for gamma-ray bursts (GRBs) is an anti-correlation between the time lag, ?lag, which represents the delay between the arrival of hard and soft photons, and the isotropic peak luminosity, L. In this paper, we use a sample of 43 Swift bursts, which was taken from Ukwatta et al., to investigate whether this relation depends on redshift. Both the z-correction and the k-correction are taken into account. Our analysis consists of binning the data in redshift, z,
then applying a fit of the form: for each bin, where ?lag0 is the time-lag in the burst’s
source frame, and is the corresponding mean value for the entire sample. The goal is to see whether the two fitting parameters, A and B, evolve in a systematic way with z. Our results indicate that both the normalization, A, and the slope, B, seem to vary in a systematic way with redshift. We note that although good best-fits were obtained, with reasonable values for both the linear regression coefficient, r, and the reduced chi-squared, the data showed large scatter. Also, the number of GRBs in the sample studied is not large, and thus our conclusions are only tentative at this point. A flat universe with M = 0.27, ?? = 0.73, and a Hubble constant, H0 = 70 km.s^{-1}.Mpc^{-1} is assumed.

Content Based Image Retrieval (CBIR) is a technique in which images are indexed based on their visual contents and retrieving is only based upon these indexed images contents. Among the visual contents to describe the image details is shape. Shape of object, is considered as the most important distinguishable feature which living things can easily recognize, which is also a fact while this line is being written, and large efforts are currently underway in describing image contents by their shapes. Inspired by the core foundation of quantum mechanics, a new easy shape representation for content based image retrieval is proposed by borrowing the concept of quantum superposition into the basis of distance histogram. Results show better retrieval accuracy of the proposed method when compared with distance histogram.

Abstract:
this article discusses the implementation of the millennium development goals, characterizing the gap between human rights and development approaches. it offers a new interpretation for public interest law litigation and budget analysis, requiring closer cooperation between human rights lawyers and development organizations. it urges the adoption of a strategy that articulate a participatory collaboration between government and civil society organizations, including national plans geared to specific aspects of the millennium goals - e.g. reduction of poverty - in which a leading role is ascribed to "national councils". finally, an appeal is made for the inclusion of refugees and other forced migrants as some of the most marginalized populations that are often excluded from these concerns.

Abstract:
Inflammatory bowel disease (IBD) has gained immense attention recently due primarily to increasing prevalence. The exact disease mechanism is still unknown. There is considerable evidence of interrelation between the mechanisms of angiogenesis and the chronic inflammation of IBD. This evidence was obtained from animal models of colitis and confirmed in human studies. Serum levels of vascular endothelial growth factor (VEGF) and basic fibroblast growth factor (b-FGF) have been found to be significantly higher in patients with IBD than in controls. In addition, it was found that these factors correlate well with disease activity and decrease with the use of steroids. Therefore pharmacological inhibition of angiogenesis has the potential to be a therapeutic strategy in IBD.

Abstract:
For a compact connected set $X\subseteq \ell^{\infty}$, we define a quantity $\beta'(x,r)$ that measures how close $X$ may be approximated in a ball $B(x,r)$ by a geodesic curve. We then show there is $c>0$ so that if $\beta'(x,r)>\beta>0$ for all $x\in X$ and $r1+c\beta^{2}$. This generalizes a theorem of Bishop and Jones and answers a question posed by Bishop and Tyson.

Abstract:
We prove that there exists $M>0$ such that for any closed rectifiable curve $\Gamma$ in Hilbert space, almost every point in $\Gamma$ is contained in a countable union of $M$ chord-arc curves whose total length is no more than $M$ times the length of $\Gamma$.

Abstract:
In a recent paper, Cs\"ornyei and Wilson prove that curves in Eucilidean space of $\sigma$-finite length have tangents on a set of positive measure. They also show that a higher dimensional analogue of this result is not possible without some additional assumptions. In this note, we show that if the boundary of a corkscrew domain in $\mathbb{R}^{d+1}$ has $\sigma$-finite $\mathscr{H}^{d}$-measure, then it has $d$-dimensional tangent points in a set of positive $d$-measure. We also give a simpler proof of the well-known fact that, if $\Omega\subseteq \mathbb{R}^{d+1}$ is an exterior corkscrew domain whose boundary has locally finite $\mathscr{H}^{d}$-measure, one can find a Lipschitz subdomain intersecting a large portion of the boundary.

Abstract:
A natural quantity that measures how well a map $f:\mathbb{R}^{d}\rightarrow \mathbb{R}^{D}$ is approximated by an affine transformation is \[\omega_{f}(x,r)=\inf_{A}\left(\frac{1}{|B(x,r)|}\int_{B(x,r)}\left(\frac{|f-A|}{|A'|r}\right)^{2}\right)^{\frac{1}{2}},\] where the infimum ranges over all non constant affine transformations. This is natural insofar as it is invariant under rescaling $f$ in either its domain or image. We show that if $f:\mathbb{R}^{d}\rightarrow \mathbb{R}^{D}$ is quasisymmetric and its image has a sufficient amount of rectifiable structure (although not necessarily $\mathcal{H}^{d}$-finite), then $\omega_{f}(x,r)^{2}\frac{dxdr}{r}$ is a Carleson measure on $\mathbb{R}^{d}\times(0,\infty)$. Moreover, this is an equivalence: the existence of such a Carleson measure implies that, in every ball $B(x,r)\subseteq \mathbb{R}^{d}$, there is a set $E$ occupying 90$%$ of $B(x,r)$, say, upon which $f$ is bi-Lipschitz (and hence guaranteeing rectifiable pieces in the image). En route, we make a minor adjustment to a theorem of Semmes to show that quasisymmetric maps of subsets of $\mathbb{R}^{d}$ into $\mathbb{R}^{d}$ are bi-Lipschitz on a large subset quantitatively.

Abstract:
We show that if $\Omega$ is an NTA domain with harmonic measure $w$ and $E\subseteq \partial\Omega$ is contained in an Ahlfors regular set, then $w|_{E}\ll \mathscr{H}^{d}|_{E}$. Moreover, this holds quantitatively in the sense that for all $\tau>0$ $w$ obeys an $A_{\infty}$-type condition with respect to $\mathscr{H}^{d}|_{E'}$, where $E'\subseteq E$ is so that $w(E\backslash E')<\tau w(E)$, even though $\partial\Omega$ may not even be locally $\mathscr{H}^{d}$-finite. We also show that, for uniform domains with uniform complements, if $E\subseteq\partial\Omega$ is the Lipschitz image of a subset of $\mathbb{R}^{d}$, then there is $E'\subseteq E$ with $\mathscr{H}^{d}(E\backslash E')<\tau \mathscr{H}^{d}(E)$ upon which a similar $A_{\infty}$-type condition holds.