The radical of a module category of string algebra

We study how to read from the ordinary quiver of a representation-finite string algebra, the minimal lower bound m ≥ 1 such that the mth power of the radical of its module category vanishes. We also show how to read the degree of any irreducible morphism in such a representation-finite string algebras considering strings.     

The Theory of Linear G-Difference Equations

We introduce the notion of difference equations defined on a structured set. The symmetry group of the structure determines the set of difference operators. All main notions in the theory of difference equations are introduced as invariants of the action of the symmetry group. Linear equations are modules over the skew group algebra, solutions are morphisms relating a given equation to other equations, symmetries of an equation are module endomorphisms, and conserved structures are invariants in the tensor algebra of the given equation.We show that the equations and their solutions can be described through representations of the isotropy group of the symmetry group of the underlying set. We relate our notion of difference equation and solutions to systems of classical difference equations and their solutions and show that out notions include these as a special case.     

安全距离和成像尺寸约束的超大视场红外系统车载应用关键参数论证

在现有车载辅助驾驶系统中,可见光成像系统难以有效应用于夜晚、雨、雾、霾等低照度不良天气。红外成像系统有效克服了上述不足,但传统车载红外系统存在视场角小、视野盲区大的缺点。研究了超大视场红外系统的车载辅助驾驶应用,提出了基于安全距离和成像尺寸联合约束的超大视场红外系统关键参数论证方法。通过分析等距投影成像规律,建立了超大视场红外系统车载应用的安全距离约束模型和成像尺寸约束模型,以极限速度对应的探测最近距离和二维Johnson准则约束下的“发现”最远距离来验证超大视场红外车载系统的可行性,计算了视场角等关键参数。经过理论论证和分析,超大视场红外车载系统的镜头焦距/像元尺寸范围需在[276.1 521.3]范围之内。通过开展系统试验,设计了水平视场角为140°的超大视场红外成像系统,满足了对人的发现距离大于130 m的要求,进而可用于车辆辅助驾驶。     

A novel polyfunctional chiral building block derived from (S)-ethyl lactate. Application to the synthesis of the sex pheromone of the southern corn rootworm (Diabrotica undecimpunctata howardi)

Highly enantiomerically pure (4S, 5E)-4-bromomethylhept-5-enenitrile was prepared from (S)-ethyl lactate by a six-step procedure involving a rearrangement of chiral cyclopropylcarbinol. This product was used for the synthesis of the sex pheromone of the southern corn rootworm (Diabrotica undecimpunctata howardi), (10R)-10-methyltridecan-2-one. For preliminary communication, see Ref. 1. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 1, pp. 151–155, January, 2000.     

A Note on the Composite of Two Irreducible Morphisms

In this note, we show that a composite of two irreducible morphisms between indecomposable modules cannot lie in ?³\?⁵.     

一类无限维李代数的同构与单性

探讨了一类的无限维李代数,并构造了此类李代数的理想,同构,同态,并对其性质作了探讨.     

Johnson准则在红外成像系统外场识别性能评估中的应用

通过对外场观测的红外图像进行反演,获取了目标的临界尺寸和目标与背景的平均温差.以热成像系统的测试最小可分辨温差曲线为基础,确定了反演目标表观温度对应的空间频率,并结合Johnson准则和目标传递概率函数建立了实测目标图像与热成像系统探测识别性能的数学模型.该应用技术在外场识别性能评估中避免了人员对红外靶标图像的主观判读,可建立起客观的外场红外系统性能评估模型.对外场实测热图像及数据进行了实验,计算结果表明该模型可以有效地对红外成像系统的探测识别性能进行评估.