范畴性

Ringel realized positive parts of semisimple Lie algebras in the framework of Ringel-Hall algebras. The main result of this thesis is to build a geometric and topological model over triangulated categories such as derived categories and stable module categories of repetitive algebras. We defines a Lie bracket by Euler characteristics of constructible subsets and thus realizes infinite dimensional Lie algebras of various types with non-degenerated bilinear form.

本文的主要结果是在导出范畴和重复代数的稳定模范畴等三角范畴水平上建立相应的几何-拓扑模型，并利用相应可构集的欧拉示性数定义了一个Hall代数的交换子乘法，从而在三角范畴水平上实现了一大类无限维李代数的整体构造，并且这类李代数本质上都具有非退化的不变双线性型。

Laws must be sufficient to determine the will as will, even before I ask whether I have power sufficient for a desired effect, or the means necessary to produce it; hence they are categorical: otherwise they are not laws at all, because the necessity is wanting, which, if it is to be practical, must be independent of conditions which are pathological and are therefore only contingently connected with the will.

简译：laws必须足以把意志作为意志来规定，即使并没有进行这个（即'我问我自己是否拥有足以实现所欲求的后果的能力或产生该后果所必须的工具'）；因此它们是范畴性的categorical定言的，否则它们就不是laws，因为它缺乏必然性，而如果这个原理要被实践的话，这必然性是和'诸如习惯喜好等（由此是偶然关联于意志的）条件'无关的/相独立的。

In the c ognitive domain, the synaesthetic image involves the mapping of image from a low er modality onto a higher one more frequently than its inverse, the mapping fromthe more accessible properties of the source image to the less accessible one o f the target image. In the aesthetic domain, the synaesthetic image, as a novel metaphorical image,provides much food for the subject's aesthetic experience. M eanwhile, in the literary domain, the image reveals its poetic function in narra tion.

在认知的范畴里，通感意象一般 SsbbwW.com 产生于由低级感官域的意象到高级感官域的意象的映射，亦即从可及性较强的意象特征到可及性较弱的意象特征的映射；在美学的范畴里，通感意象作为 dddtt 一种新颖的隐喻意象丰富了主体的审美体验；而在文学的范畴里，通感意象则具有诗学的功能，表现出叙事的文学性。

In the c ognitive domain, the synaesthetic image involves the mapping of image from a low er modality onto a higher one more frequently than its inverse, the mapping fromthe more accessible properties of the source image to the less accessible one o f the target image. In the aesthetic domain, the synaesthetic image, as a novel metaphorical image,provides much food for the subjects aesthetic experience. M eanwhile, in the literary domain, the image reveals its poetic function in narra tion.

在认知的范畴里，通感意象一般产生于由低级感官域的意象到高级感官域的意象的映射，亦即从可及性较强的意象特征到可及性较弱的意象特征的映射；在美学的范畴里，通感意象作为一种新颖的隐喻意象丰富了主体的审美体验；而在文学的范畴里，通感意象则具有诗学的功能，表现出叙事的文学性。

In the c ognitive domain, the synaesthetic image involves the mapping of image from a low er modality onto a higher one more frequently than its inverse, the mapping fromthe more accessible properties of the source image to the less accessible one o f the target image. In the aesthetic domain, the synaesthetic image, as a novel metaphorical image,provides much food for the subject's aesthetic experience.

在认知的范畴里，通感意象一般产生于由低级感官域的意象到高级感官域的意象的映射，亦即从可及性较强的意象特征到可及性较弱的意象特征的映射；在美学的范畴里，通感意象作为一种新颖的隐喻意象丰富了主体的审美体验；而在文学的范畴里，通感意象则具有诗学的功能，表现出叙事的文学性。

However, the fact that SICp category does not exist establishes the basis of further study work on the Cartesian closedness of categories for semicontinuous lattices .

讨论了两类半连续格范畴有限乘积性的存在性，得到了SIC_P范畴具有有限乘积性而SIC_q范畴有限乘积不存在的结果，为进一步研究半连续格范畴的Cartesian封闭性奠定了一定的基础。

Through his portrayal of Ashurst's personality, his limitation revealed. On one hand he had realized the declining capitalist society; on the other hand, he intended to defend his own class. Pity and chivalry were just tools that he used to prettify the bourgeois.

议决他对阿舍斯特性格的描绘，他的阶级范畴性也表现了出来：他一方面已经相识到了糜烂衰落的资本主义社会，并大胆的把它展现出来；另一方面他力图挽救资本主义制度，为本阶级探求出路。

The primary category of Chinese ancient painterly theory can analysed approximately into symbolistic configuration category、entitative configuration category and model configuration category.

中国古代画论的各主干范畴大致可分为象性结构范畴、实性结构范畴和虚性结构范畴。

The model configuration emerged into the symbolistic configuration category, it\'s entitative at first, then became the dialectical category, it\'s the thinking theory mode and the position of ancient painterly theory.

虚性结构范畴产生于象性结构范畴中，先成为实性结构范畴，最终成为具有框架性和辨证性的范畴，它是古代画论立论之所在和思维运作的理论化模式。

Based on the categorical knowledge representation and improving the completeness of categorical knowledge pieces,we present a knowledge reasoning method using the categorical construction of analogical functors and pushouts,through knowledge association and deduction,to achieve the supplements of objects and morphisms.This dissertation proposes a similarity measure method for decision-making knowledge acquisition based on greatest common subcategory,and this method calculates the similarity between knowledge pieces from the perspectives of objects,morphisms,types and type categories.A knowledge merging method and the measure of multiple knowledge pieces merging are also presented.

在范畴化知识表示的基础上，为提高范畴化知识片断的完备性，提出运用范畴的类推函子和推出来实现知识扩展推理方法，通过联想和推演过程，实现范畴化知识结构的对象和态射补充，并从对象、态射、定型和定型范畴四个层面量化知识片断相似性，提出基于最大公约子范畴的决策知识相似度计量方法，以及知识片断的语义融合度计量方法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷