余拟三角弱Hopf群代数与辫子Monoidal范畴

In this paper, we first give the definitions of a crossed left π-H-comodules over a crossed weak Hopf π-algebra H, and show that the category of crossed left π-H-comodules is a monoidal category. Finally, we show that a family σ = {σα,β: Hα Hβ→ k}α,β∈πof k-linear maps is a coquasitriangular structure of a crossed weak Hopf π-algebra H if and only if the category of crossed left π-H-comodules over H is a braided monoidal category with braiding defined by σ.     

一种利用地物散射特性进行后续类别调整的极化SAR影像分类方法

针对常规极化SAR影像监督分类在分类时由于极化信息利用不完全,导致分类结果不可信的缺陷,在分析地物极化散射特性的基础上,提出一种结合复Wishart分类器思想的极化SAR监督分类方法,在监督分类的基础上,利用几乎包含所有极化信息的相干矩阵进行后续分类,利用地物所有极化散射信息完成类别的划分。首先,利用Cloude&Pottier极化特征组合对影像进行监督分类,获得初始类别划分结果;为纠正监督分类时仅利用特征矢量的空间分布特性进行类别划分导致的错误,对监督分类结果精度评价及研究区地物散射相似性分析,综合确定初始分类结果中分类效果较差、待后续调整类别的像素集;然后以各类别的相干矩阵均值为初始聚类中心,利用核模糊C均值算法,结合相干矩阵的复Wishart分布特性,对待修正的像素集进行后续类别迭代调整,获得精细分类结果。采用国产X-SAR获取的海南陵水地区的全极化SAR影像进行分类试验,结果表明：提出的对极化SAR影像监督分类后利用地物散射特性相似性对错分像素重新进行聚类调整类别的方法,与仅进行监督分类相比,分类结果总体精度更高,也更满足地物的散射特性。     

A Version of the Bartle–Graves Theorem for Temperate Functions

We prove a version of the Bartle–Graves theorem for temperate functions in the category of the b-spaces of L. Waelbroeck. As a consequence, we give a characterization of some spaces of functions with values in quotients which appear in L. Waelbroeck's holomorphic functional calculus.     

On homotopy varieties

Given an algebraic theory T, a homotopy T-algebra is a simplicial set where all equations from T hold up to homotopy. All homotopy T-algebras form a homotopy variety. We will give a characterization of homotopy varieties analogous to the characterization of varieties.     

State-transition categories

This paper presents the idea to define a category which is related to a state-transition system. To represent our knowledge, we also introduce knowledge functions and fuzzy knowledge functions.     

Witt Groups of Derived Categories

We define the notion of cobordism of two objects in a trianulated category, and the Witt group of such category is defined as the Grothendieck group of cobordism classes of self-dual objects. We prove that the Witt group of a t-category is a free Abelian group generated by the classes of irreducible self-dual objects of its heart. In case of derived category of of complexes of sheaves on a stratified space with the middle-perversity t-structure, these irreducibles are local systems on the strata.