This article introduces a class of distortion operators, gα (u) = Φ Φ [ ( ) ] − + 1 u α , where Φ is the standard normal cumulative distribution. For any loss (or asset) variable X with a probability distribution SX(x) = 1– FX(x), gα [SX(x)] defines a distorted probability distribution whose mean value yields a risk-adjusted premium (or an asset price). The distortion operator gα can be applied...

the aim of this study is to investigate the role of security in social deviations among women of babol city. descriptive survey research method was used and the unit of analysis is 15-29 year old women that 284 women are selected on the basis of cochran formula and using multi-stage random cluster sampling. the results show that there is a weak significant relationship between the independent v...

Goemans showed that any n points x1, . . . xn in d-dimensions satisfying `2 triangle inequalities can be embedded into `1, with worst-case distortion at most √ d. We consider an extension of this theorem to the case when the points are approximately low-dimensional as opposed to exactly low-dimensional, and prove the following analogous theorem, albeit with average distortion guarantees: There ...

T 2 are the only closed Riemann surfaces admitting nonconstant conformal mappings from the complex plane. The same rigidity is present in higher dimensions; closed manifolds admitting conformal mappings from Rn are quotients of Sn and Tn, see e.g. [2, Prop. 1.4]. However, if distortion is allowed, simple examples show that the spaces Sk1 × Sk2 × · · · × Skl (k1 + · · ·+ kl = n) receive nonconst...

M. H. Al-Abbadi and M. Darus 2009 recently introduced a new generalized derivative operator μ λ1 ,λ2 , which generalizedmany well-known operators studied earlier by many different authors. In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U {z ∈ C : |z| < 1} which is defined by new generalized derivative operator. Some results on coefficient ...

Thermochromism and anion-dependence studies on the intervalence charge transfer (IVCT) properties of the diastereoisomers of [{Ru(bpy)2}2(m-BL)] 51 {BL 5 dpb0, dpq0, and dpb: dpb0 5 dipyrido(2,3-a;30,20-c)benzophenazine; dpq0 5 dipyrido(2,3-a;30,20-c)phenazine; dpb 5 2,3bis(2-pyridyl)-1,4-benzoquinoxaline} are reported. IVCT thermochromism studies revealed that the level of delocalisation may d...