Abstract:
We provide some necessary details to several arguments appearing in our previous paper ``Canonical bases for quantum generalized Kac-Moody algebras''. We also make the link with some other work on the same subject.

Abstract:
The main purpose of this paper is to study an identity of symmetryfor the Genocchi polynomials with weak weight α. The Genocchi numbersand polynomials with weak weight α is investigated by C.S.Ryoo,J. Y. Kang [A note on the q-Genocchi numbers and polynomials withweak weight alpha, Applied Mathematical Sciences, Vol. 6, 2012, no.15, 731 - 738]. In this paper, by using this symmetry of fermionic padicq-integral on Zp, we give some interesting relations of symmetrybetween the power sum and Genocchi polynomials with weak weight α.

This paper introduces the characteristics of VSC and MMC-MTDC and discusses the effects of different kinds of faults in HVDC systems. Special attention is given to the comparison between a pole-to-pole fault and a pole-to-ground fault occurring in the middle of the line or at the terminal of a VSC. Simulations using MATLAB are provided in this article which show the difference effects clearly when faults occur in a VSC-MTDC system or in a MMC-MTDC system. Understanding of such fault characteristics and the influence of the control system on them are important prerequisites on the way to MTDC systems.

Abstract:
We examine an unusual phenomenon where, in tilted magnetic fields near magic angles parallel to crystallographic planes, a "giant" resonant Nernst signal has been observed by Wu et al.[Phys. Rev. Lett. 91 56601(2003)] in the metallic state of an organic conducting Bechgaard salt. We show that this effect appears to be a general feature of these materials, and is also present in the field induced spin density wave phase with even larger amplitude. Our results place new restrictions on models that treat the metallic state as an unconventional density wave or as a state with finite Cooper pairing.

Abstract:
Purpose: The Purpose of this paper is to obtain suitable convection and contact heat transfer coefficient forone-time finite element analysis in the warm forging process.Design/methodology/approach: To do this, the temperature of the tool used in the operation was measured witha thermocouple and repeated finite element analysis(FEA) was performed using the experimentally calculatedcontact and cooling heat transfer coefficient. Also the surface temperature of the active tool was obtained bycomparing the measurement and analysis results and finally the contact heat transfer coefficient for one-time FEAwas completed by comparing the surface temperature between the repeated FEA and one-time FEA results.Findings: The acceptable convection heat transfer coefficients are from 0.3 to 0.8N/mm/s/K and the contactheat transfer coefficient of 6~9N/mm/s/K is appropriate for the warm forging process with flow-typelubrication conditions.Practical implications: A comparison of the temperatures from the repeated and one-time analysis allows anoptimum contact heat transfer coefficient for the one time finite element analysis to be determined.Originality/value: Several studies have been conducted with different conditions such as applied pressure andkind of lubricant, but no research has been conducted concerning the convection heat transfer coefficient in thewarm forging process. Also, comparative analysis concerning the reason for difference between experimentallydetermined contact heat transfer coefficient and practically adapted one has not been conducted, yet.

Abstract:
It is known that a graph $C^*$-algebra $C^*(E)$ is approximately finite dimensional (AF) if and only if the graph $E$ has no loops. In this paper we consider the question of when a labeled graph $C^*$-algebra $C^*(E,\CL,\CB)$ is AF. A notion of loop in a labeled space $(E,\CL,\CB)$ is defined when $\CB$ is the smallest one among the accommodating sets that are closed under relative complements and it is proved that if a labeled graph $C^*$-algebra is AF, the labeled space has no loops. A sufficient condition for a labeled space to be associated to AF algebra is also given. For graph $C^*$-algebras $C^*(E)$, this sufficient condition is also a necessary one. Besides, we discuss other equivalent conditions for a graph $C^*$-algebra to be AF in the setting of labeled graphs and prove that these conditions are not always equivalent by invoking various examples.

Abstract:
After synthesizing Wood-Anderson seismograms from broadband recordings at FDSN stations (BJT, SSE, INC and MDJ) in and near Korea, the empirical equations, for the vertical and horizontal components, respectively, for determination of local magnitude (M L ) in and near Korea, were estimated through a process of regression. Around 200 data, from events with epicentral distance ?D) ranging from 50 km to 1000 km, measured from synthetic Wood-Anderson seismograms were used. According to the regression with the constraint that the magnitude for an amplitude of 0.001 m measured at epicentral distance of 100 km is 3, the empirical formula (log 10 A 0 ) for the horizontal components is, with standard deviation (s) of 0.52, M L = log 10 A(D) + 1.71 log 10 A 0 (D) 0.42 + C, and that for the vertical components is, with standard deviation (s) of 0.56, M L = log 10 A(D) +1.70 log 10 A 0 (D) 0.4 + C, where, C is a station correction factor and A is the amplitude. This result shows that the attenuation in and near Korea is stronger than that in the East United States (Kim, 1998) and weaker than that in South California (Kanamori et al., 1993).