Dynkin Diagram Sequences and Stabilization Phenomena

We continue the study of stabilization phenomena for Dynkin diagram sequences initiated in the earlier work of Kleber and the present author. We consider a more general class of sequences than that of this earlier work, and isolate a condition on the weights that gives stabilization of tensor product and branching multiplicities. We show that all the results of the previous article can be naturally generalized to this setting. We also prove some properties of the partially ordered set of dominant weights of indefinite Kac–Moody algebras, and use this to give a more concrete definition of a stable representation ring. Finally, we consider the classical sequences B _n , C _n , D _n that fall outside the purview of the earlier work, and work out some easy-to-describe conditions on the weights which imply stabilization.     

小样本定数截尾场合下威布尔和对数正态分布的拟合检验

本文给出了小样本定数截尾场合下两参数威布尔分布和对数正态分布的拟合检验方法,该方法还适用于一般的位置-刻度参数族分布,论文还通过实际算例说明方法的可行性。     

浙江梅山岛附近海域大型底栖动物和游泳动物的群落组成及其与环境因子的关系

2020年9月对梅山岛附近海域的大型底栖动物和游泳动物进行了定量调查,分析了梅山岛附近海域大型底栖动物和游泳动物的群落组成和数量特征,包括群落种类组成、丰度、生物量和优势种,并对大型底栖动物和游泳动物的群落组成、数量特征与水深、悬浮物、营养盐等重要环境因子进行了相关性分析.结果表明:梅山岛附近海域共有大型底栖动物5门16种,其中环节动物门5种、软体动物和节肢动物门各4种、棘皮动物门2种、脊索动物门1种;梅山岛附近海域大型底栖动物平均丰度为12.73 ind·m^-2,平均生物量为2.87 g·m^-2,其中纵肋织纹螺(Nassarius variciferus)为研究海域唯一的优势种.游泳动物共有55种,其中鱼类29种、甲壳动物23种、软体动物门中头足纲动物2种、腔肠动物1种;游泳动物在整个研究海域的尾数密度为24.77×10³ind·km^-2,重量密度为144.53 kg·km^-2;游泳动物优势种共9种,其中龙头鱼(Harpadon nehereus)的优势度最高,口虾蛄(Ora...     

Evidence for ion–ion interactions between peptides and anions (HSO4− or ClO4−) derived from high‐acidity acids

The existence of gas‐phase electrostatic ion–ion interactions between protonated sites on peptides ([Glu] Fibrinopeptide B, Angiotensin I and [Asn¹, Val⁵]‐Angiotensin II) and attaching anions (ClO₄^? and HSO₄^?) derived from strong inorganic acids has been confirmed by CID MS/MS. Evidence for ion–ion interactions comes especially from the product ions formed during the first dissociation step, where, in addition to the expected loss of the anion or neutral acid, other product ions are also observed that require covalent bond cleavage (i.e. H₂O loss when several carboxylate groups are present, or NH₃ loss when only one carboxylate group is present). For [[Glu] Fibrinopeptide B + HSO₄]^?, under CID, H₂O water loss was found to require less energy than H₂SO₄ departure. This indicates that the interaction between HSO₄^? and the peptide is stronger than the covalent bond holding the hydroxyl group, and must be an ion–ion interaction. The strength and stability of this type of ion‐pairing interaction are highly dependent on the accessibility of additional mobile charges to the site. Positive mobile charges such as protons from the peptide can be transferred to the attaching anion to possibly form a neutral that may depart from the complex. Alternatively, an ion–ion interaction can be disrupted by a competing proximal additional negatively charged site of the peptide that can potentially form a salt bridge with the positively charged site and thereby facilitate the attaching anion's departure. Copyright © 2014 John Wiley & Sons, Ltd.     

Accurate computation of the smallest eigenvalue of a diagonally dominant -matrix

If each off-diagonal entry and the sum of each row of a diagonally dominant -matrix are known to certain relative accuracy, then its smallest eigenvalue and the entries of its inverse are known to the same order relative accuracy independent of any condition numbers. In this paper, we devise algorithms that compute these quantities with relative errors in the magnitude of the machine precision. Rounding error analysis and numerical examples are presented to demonstrate the numerical behaviour of the algorithms.

     

Schif碱药物与细菌作用的热力学研究

在不同温度条件下利用微量热法测定了大肠杆菌以及大肠杆菌在６种Ｓｃｈｉｆ碱药物抑制下的生长热谱，找出了该细菌生长的最佳生长温度，获得了该细菌在不同温度条件及抑制情况下生长代谢的速率常数，并借助化学反应中分子碰撞理论计算了该细菌生长的生长活化能，在此基础上借用化学反应速率的活化络合物理论模型对大肠杆菌生长代谢的生化反应进行了热力学分析     

On copositive approximation in some classical spaces of sequences

In this paper the author writes a simple characterization for the best copositive approximation in c; the space of convergent sequences, by elements of finite dimensional Chebyshev subspaces, and shows that it is unique.     

Projections on Convex Sets in the Relaxed Limit

The paper establishes the continuity of the best approximation, or the projection, of a function in L _p for p[1,), on a closed convex set in the space, when the set varies and converges to a limit set in the Young-measure relaxation of the space. To this end a strong-type convergence and a convexity structure are identified on the space of Young measures. The appropriate convergence of sets with respect to which the continuity holds is the Mosco convergence of sets associated with the strong-type convergence of functions.     

基于加速度响应控制时MTMD的地震特性

研究了由多个刚度和阻尼保持为常量且频率呈线性分布的TMD形成的MTMD的地震特性。基于虚拟激励法和Kanai Tajimi及Clough Penzien地震谱 ,建立了结构 MTMD系统的加速度传递函数 ,进而导出了设置MTMD时结构的加速度动力放大系数 (ADMF)明确表达式。于是MTMD的优化准则选择为 :结构最大加速度动力放大系数的最小值的最小化 [Min .Min .Max .ADMF]。通过最优搜寻得MTMD的最优频率间隔、平均阻尼比、调谐频率比和相应的控制有效性指标。选择结构受控频率与地震卓越频率比的不同取值 ,研究地震卓越频率对MTMD最优参数及有效性的影响