In present PET/CT scanners, PET attenuation correction is performed by relying on the information given by CT scan. In the CT-based attenuation correction methods, dual-energy technique (DECT) is the most accurate approach, which has been limited due to the increasing patient dose. In this feasibility study, we have introduced a new method that can implement dual-en...

Let $(X,d)$ be an infinite compact metric space, let $(B,parallel . parallel)$ be a unital Banach space, and take $alpha in (0,1).$ In this work, at first we define the big and little $alpha$-Lipschitz vector-valued (B-valued) operator algebras, and consider the little $alpha$-lipschitz $B$-valued operator algebra, $lip_{alpha}(X,B)$. Then we characterize its second dual space.

Bector et al., (1994) introduced the concept of univexity. Mishra (1998), Mishra and Reuda (2001) and Mishra et al., (2005) have applied and generalized these functions. Mathematical programming in complex spaces originated from Levinson’s discussion of linear problems (Levinson, 1966). Mishra and Reuda (2003) have generalized these upto first orders, second order with symmetric duality. Furthe...

A pair of Mond-Weir type second order mixed symmetric duals is presented for a class of non-differentiable multi-objective nonlinear programming problems with multiple arguments. We establish duality theorems for the new pair of dual models under second order generalized convexity assumptions. This mixed second order dual formulation unifies the two existing second order symmetric dual formulat...

We prove that a Banach space admitting an equivalent WUR norm is an Asplund space. Some related dual renormings are also presented. It is a well-known result that a Banach space whose dual norm is Fréchet differentiable is reflexive. Also if the the third dual norm is Gâteaux differentiable the space is reflexive. For these results see e.g. [2], p.33. Similarly, by the result of [9], if the sec...

We discuss the action of SL(2, Z) on local operators in D = 4, N = 4 SYM theory in the superconformal phase. The modular property of the operator’s scaling dimension determines whether the operator transforms as a singlet, or covariantly, as part of a finite or infinite dimensional multiplet under the SL(2, Z) action. As an example, we argue that operators in the Konishi multiplet transform as ...

This chapter reports on some of the work carried out in COST-231 with relation to second generation personal communication systems, and specifically GSM and DECT. The performance of basic versions of such systems is relatively well known, and the focus of the work was therefore on advanced features and possible limitations. These topics are of importance not only in relation to the full exploit...

N = 1 SQCD with SU(Nc) colors and NF flavors of light quarks is considered within the dynamical scenario which assumes that quarks can be in two different phases only. These are : a) either the HQ (heavy quark) phase where they are confined, b) or they are higgsed, at the appropriate values of parameters of the Lagrangian. The mass spectra of this (direct) theory and its Seiberg’s dual are obta...

With the renewed interest in the field of second language learning for the knowledge of collocating words, research findings in favour of holistic processing of formulaic language could support the idea that these language units facilitate efficient language processing. This study investigated the difference between processing of a first language (L1) and a second language (L2) of congruent col...