Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras

In this paper, we study the tensor product structure of the category of finite dimensional modules over Drinfeld doubles of Taft Hopf algebras. Tensor product decomposition rules for all finite dimensional indecomposable modules are explicitly given.     

后负荷对心室压力—容积关系的影响

本文利用一种心室分析模型，对心室后负荷，用更符合循环生理实际的非对称Ｔ型管模型替代三元件的Ｗｅｓｔｅｒｈｏｆ模型，在此基础上研究心室压力－容积关系随后负荷的变化情况发现收缩末期的心室压力－容积关系基本上不随后负荷的改变而改变。     

Experimental validation of an effective carbon number-based approach for the gas chromatography–mass spectrometry quantification of ‘compounds lacking authentic standards or surrogates’

For the quantitative analysis of ‘compounds lacking authentic standards or surrogates’ (CLASS) in environmental media, we previously introduced an effective carbon number (ECN) approach to develop an empirical equation for the prediction of their response factor (RF). In this research, a series of laboratory experiments were carried out to benchmark the reliability of an ECN approach for sorbent tube/thermal desorption/gas chromatography (GC)/mass spectrometry (MS) applications. First, the ECN values were determined using external calibration data from 25 reference volatile organic compounds (VOCs) using two MS dectectors (quadrupole (Q) and time-of-flight (TOF)). Then, a certified standard mixture of 54 VOCs was analyzed by each system as a simulated unknown sample. The analytical bias, assessed in terms of percentage difference (PD) between the certified and ECN-predicted mass values, averaged 19.2 ± 16.1% (TOF-MS) and 28.2 ± 27.6% (Q-MS). The bias using a more simplified carbon number (CN)-based prediction increased considerably, yielding 53.4 ± 53.3% (TOF-MS) and 61.7 ± 81.3% (Q-MS). However, the bias obtained using the ECN-based prediction decreased significantly to yield average PD values of 9.84 ± 7.28% (TOF-MS) and 16.8 ± 8.35% (Q-MS), if the comparison was limited to 26 (out of 54) VOCs with CN ≥ 4 (i.e., 25 aromatics and hexachlorobutadiene).     

Profile monitoring of reflow process using approximations of mixture second‐order polynomials

Lately, profile monitoring has received considerable attention in the statistical process control research field. This paper proposes a novel monitoring framework for the reflow process data, which uses two goodness‐of‐fit criteria to select the change points in the mixture polynomial model. Among change points, the mixture second‐order polynomials are utilized to piecewisely approximate the nonlinear profile data of the reflow process. The well‐known Hotelling T² and proposed EWMA₄ control charts are then employed to monitor the parameter estimates. The experimental results demonstrate that the proposed monitoring framework presents better performances in detecting outlying profiles than the conventional methods in phase I. In phase II, the performance of the proposed framework is assessed in terms of the out‐of‐control average run length. Copyright © 2014 John Wiley & Sons, Ltd.     

Testing the ONIOM G2R3 model against donor-acceptor dissociation energies of group 13-15 complexes: accuracy comparable to CCSD(T)/aug-CC-pVTZ at a fraction of the resource cost

The ability of the composite three-layer ONIOM G2R3 (OG2R3) method to match experimental dissociation energies for group 13-15 donor-acceptor complexes was examined for a database of 34 complexes. The composite approach provides energies that agree reasonably with experiment, performing nearly as well as both the CCSD(T)/aug-CC-pVTZ and CCSD(T)/6-311+G(2df, 2p) models for small molecules and nearly as well as the latter for slightly larger ones. Broadly, all three models exhibit average absolute errors of ～3 kcal mol(-1) , and root mean square errors of ～4 kcal mol(-1) . The average signed error suggest that the OG2R3 approach systematically underbinds by ～2.3 kcal mol(-1) ; if this is used as a general correction, the approach performs as well or better than the pure CCSD(T) models. However, the OG2R3 model can be applied to molecules too large to be studied by the other CCSD(T) methods, as it requires only a fraction of the time and computer resources.     

Solid lipid nanoparticles comprising internal Compritol 888 ATO, tripalmitin and cacao butter for encapsulating and releasing stavudine, delavirdine and saquinavir

Solid lipid nanoparticles (SLNs) with complex internal phase were fabricated for formulating stavudine (D4T), delavirdine (DLV), and saquinavir (SQV). The lipids including Compritol 888 ATO, tripalmitin, and cacao butter were stabilized by L-α-phospatidylcholine, cholesteryl hemisuccinate, and taurocholate to form SLNs. The results revealed that the morphology of SLNs was spheroidal with shallow surface pits. An increase in the weight percentage of Compritol 888 ATO increased the average diameter of D4T-entrapping SLNs and decreased that of DLV- and SQV-entrapping SLNs. Preservation at 4°C over 6 weeks slightly enhanced the size of SLNs. For a specific drug, an increase in the entrapment efficiency enlarged the nanocarriers. The order of drug in the average particle diameter and in the entrapment efficiency was SQV>DLV>D4T, in general. In addition, the dissolution of the three drugs from SLNs showed the characteristics of sustained release. The order of drug in the cumulative release percentage was D4T>DLV>SQV. SLNs containing Compritol 888 ATO, tripalmitin, and cacao butter are efficient in carrying antiretroviral agents for medicinal application.     

COS Activation by Zr~＋ in the Gas Phase：A Case of Two-state Reactivity Process

To elucidate the mechanisms of Zr + reacting with COS,both the quartet and doublet potential energy surfaces (PESs) for reactions of Zr + (4 F,2 D) with COS in the gas phase have been investigated in detail by means of density functional method (B3LYP).To obtain more accurate results,the coupled cluster single-point calculations (CCSD(T)) using B3LYP optimized geometries were performed.For the C-O bond activation,the calculated results indicate that both the quartet and doublet states proceed via an insertion-elimination mechanism.For the C-S bond activation,the quartet reaction has an insertion-elimination mechanism,but the doublet reaction is a direct abstraction of the sulfur atom by Zr +.The C-S bond activation is found to be energetically more favorable than the C-O bond activation.It is found that the reaction of the 4 F gound state of Zr + to yield ZrO + is spin-forbidden (Zr + (4 F) + COS (1 Σ) → ZrO + (2) + CS (1 Σ)) and the crossing points were approximately determined.All the results have been compared with the existing experimental and theoretical data.     

A blow-up criterion for a 2D viscous liquid-gas two-phase flow model

In this paper, we prove a blow-up criterion in terms of the upper bound of the liquid mass for the strong solution to the two-dimensional (2D) viscous liquid-gas two-phase flow model in a smooth bounded domain. The result also applies to three-dimensional (3D) case.     

Elliptic curve cryptography: The serpentine course of a paradigm shift

Text

Over a period of sixteen years elliptic curve cryptography went from being an approach that many people mistrusted or misunderstood to being a public key technology that enjoys almost unquestioned acceptance. We describe the sometimes surprising twists and turns in this paradigm shift, and compare this story with the commonly accepted Ideal Model of how research and development function in cryptography. We also discuss to what extent the ideas in the literature on “social construction of technology” can contribute to a better understanding of this history.

Video

For a video summary of this paper, please visit http://www.youtube.com/watch?v=HHFFvfDoTK4.     

Existence of Hopf subalgebras of GK-dimension two

Let H be a pointed Hopf algebra over an algebraically closed field of characteristic zero. If H is a domain with finite Gelfand-Kirillov dimension greater than or equal to two, then H contains a Hopf subalgebra of Gelfand-Kirillov dimension two.