Identities by Generalized L−L-Summing Method

In this paper, we introduce 3-dimensional $L-$summing method, which is a rearrangement of the summation $\sum A_{abc}$ with $1\leq a,b,c\leq n$. Applying this method on some special arrays, we obtain some identities on the Riemann zeta function and digamma function. Also, we give a Maple program for this method to obtain identities with input various arrays and out put identities concerning some elementary functions and hypergeometric functions. Finally, we introduce a further generalization of $L-$summing method in higher dimension spaces.Comment: 8 pages, 2 figure

IDENTIFICATION OF EFFECTIVE PROCESS FACTORS ON OPERATIONAL RISK IN BANKS (CASE STUDY: KESHAVARZI BANK BRANCHES IN ZANJAN CITY)

Abstract. On the one hand, Increasing rate of operational losses, and as rapid technological changes, increasing number of customers, electronic commerce and globalization of the economy and more complex banking transactions, large mergers and separations, causing more important of operational risk and its management. Identification and quantification of operational risk is not easy and is highly dependent on the structure of the internal processes and internal controls.This descriptive - survey research was conducted aimed to Identification of effective process factors on operational risk in the bank branches in Zanjan city(years of 2010-2014)by using Kolmogoroff-Smirnoff test and one -sample T test. Findings indicatesthe manner of service offering to customers with a value of 3.95 have greatest impact on operational risk management and hardware and software systems with a value of 3.66 and manner of communication between the staff with a value of 3.12 ranks next. Bank internal processes are effective on the bank's operational risk management.Also, the effect of environmental factors on the bank's operational risk management in the Keshavarzi bank rejected. So, the establishment of suitable internal controls, observance of circular letter by employees, assessment of employees' information,not involvingpersonal interests of employees in banking affairs, and employees' update information are effective in operational risk management and better control of resources and its profitability.Keywords: Risk, Operational Risk, Risk Management, Effective Risk, keshavarzi Bank branches in Zanjan city

Representing Iranian-Islamic Identity in Iranian Contemporary Cities Structure

Urban identity could be considered as the result of interaction between social identity system and urbanism system. The term “Islamic City” is defined only by considering the physics of the city and reducing the concept of the city to physical elements. Current researches are carried out without considering the relationships between elements and parts of the Islamic city. The main objective in this research is to focus on the principles governing Islamic city which have their roots in Iranian identity and govern aspects of urban life, such as social, political, economic and physical space of the city. Studying concepts of centre, periphery and communications as the main elements of urban identity and matching each of the physical elements in aforementioned arenas could help with understanding the Islamic city structure and its organization and relations governing it. The significance of religious, social, and economic elements in the Islamic city matches the Contemporary urbanism identity in Iran and the concept of centre-periphery theory

Synthetic complex Weyl superconductors, chiral Josephson effect and synthetic half-vortices

We show that the most generic form of spin-singlet superconducting order parameter for chiral fermions is of the $\Delta_s+i\gamma^5\Delta_5$ where $\Delta_s$ is the usual order parameter and $\Delta_5$ is the pseudo-scalar order parameter. After factoring out the $U(1)$ phase $e^{i\phi}$, this form of superconductivity admits yet additional complex structure in the plane of $(\Delta_s,\Delta_5)$. The polar angle $\chi$ in this plane dubbed chiral angle will be locked to the $U(1)$ phase $\phi$. We propose a synthetic setup based on stacking of topological insulators (TIs) and superconductors (SCs). Alternatively flux biasing the superconductors with a fluxes $\pm\Phi$ leads to $\Delta_5=\Delta_0 \sin(\chi)$, where $\Delta_0$ is the superconducting order parameter of the SC layers, and the chiral angle $\chi=\Phi/\Phi_0$ is directly given by the flux $\Phi$ in units of the flux quantum $\Phi_0=h/(2e)$. This can be used as a building block to construct a two-dimensional Josephson array. In this setup $\chi$ will be a background field defining a pseudoscalar $\Delta_5$ that can be tuned to desired configuration. While in a uniform background field $\Delta_5$ the dynamics of $\phi$ is given by standard XY model and its associated vortices, a {\em staggered} background $\pm\Delta_5$ (or equivalently $\chi$ and $\chi+\pi$ in alternating lattice sites) creates a new set of minima for the $\phi$ field that will support half-vortex excitations. An isolated single synthetic "half-vortex" in the $\chi$ field in an otherwise uniform background will bind a $\phi$-half-vortex. This is similar to the way a p-wave superconducting vortex core binds a Majorana fermion

Using Rasch rating scale model to reassess the psychometric properties of the Persian version of the PedsQLTM 4.0 Generic Core Scales in school children

<p>Abstract</p> <p>Background</p> <p>Item response theory (IRT) is extensively used to develop adaptive instruments of health-related quality of life (HRQoL). However, each IRT model has its own function to estimate item and category parameters, and hence different results may be found using the same response categories with different IRT models. The present study used the Rasch rating scale model (RSM) to examine and reassess the psychometric properties of the Persian version of the PedsQL^TM4.0 Generic Core Scales.</p> <p>Methods</p> <p>The PedsQL^TM4.0 Generic Core Scales was completed by 938 Iranian school children and their parents. Convergent, discriminant and construct validity of the instrument were assessed by classical test theory (CTT). The RSM was applied to investigate person and item reliability, item statistics and ordering of response categories.</p> <p>Results</p> <p>The CTT method showed that the scaling success rate for convergent and discriminant validity were 100% in all domains with the exception of physical health in the child self-report. Moreover, confirmatory factor analysis supported a four-factor model similar to its original version. The RSM showed that 22 out of 23 items had acceptable infit and outfit statistics (<1.4, >0.6), person reliabilities were low, item reliabilities were high, and item difficulty ranged from -1.01 to 0.71 and -0.68 to 0.43 for child self-report and parent proxy-report, respectively. Also the RSM showed that successive response categories for all items were not located in the expected order.</p> <p>Conclusions</p> <p>This study revealed that, in all domains, the five response categories did not perform adequately. It is not known whether this problem is a function of the meaning of the response choices in the Persian language or an artifact of a mostly healthy population that did not use the full range of the response categories. The response categories should be evaluated in further validation studies, especially in large samples of chronically ill patients.</p