Recently,dealing with the non-Euclidean data and its characterization is considered as one of the major issues by researchers.The first problem arises while defining the distinction among Euclidean and non-Euclidean g...Recently,dealing with the non-Euclidean data and its characterization is considered as one of the major issues by researchers.The first problem arises while defining the distinction among Euclidean and non-Euclidean geometry with its examples.The second problem arises while dealing with the non-Euclidean geometry in true,false,and uncertain regions.The third problem arises while investigating some patterns in non-Euclidean data sets.This paper focused on tackling these issues with some real-life examples in data processing,data visualization,knowledge representation,and quantum computing.展开更多
Internet has gradually demonstrated more and more superiority in modern education system. The intelligent online drawing platform based on net will provide learners with a studying environment without limitation in ...Internet has gradually demonstrated more and more superiority in modern education system. The intelligent online drawing platform based on net will provide learners with a studying environment without limitation in time and space. Based on the theory of graphics, this paper developed an intelligent online drawing platform (IODP) with Java through analyzing the teaching character of descriptive geometry. IODP developed not only has a flexible drawing environment with the function of mutual drawing, but also is able to judge the drawing made by students and give feedback at the same time. This platform gives an effective way for Internet education on engineering graphics.展开更多
In the present work,the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling.The major features of such systems relate...In the present work,the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling.The major features of such systems related to the ways of formation of the two-dimensional complex drawing of a geometrical image on the basis of laws of projective connections are revealed.Interrelations of the elements of different systems of measurement with various projections of a geometrical image are defined.The relative location of projections of a geometrical image into the constructed two-dimensional complex drawings for various systems of measurement is discussed.The rationale behind a particular arrangement of views in the projective drawing of a product in the analyzed systems of measurement is explained.展开更多
文摘Recently,dealing with the non-Euclidean data and its characterization is considered as one of the major issues by researchers.The first problem arises while defining the distinction among Euclidean and non-Euclidean geometry with its examples.The second problem arises while dealing with the non-Euclidean geometry in true,false,and uncertain regions.The third problem arises while investigating some patterns in non-Euclidean data sets.This paper focused on tackling these issues with some real-life examples in data processing,data visualization,knowledge representation,and quantum computing.
基金Supported by ‘Fifteen’ National Education Science Accented Project (NO. CZ03)
文摘Internet has gradually demonstrated more and more superiority in modern education system. The intelligent online drawing platform based on net will provide learners with a studying environment without limitation in time and space. Based on the theory of graphics, this paper developed an intelligent online drawing platform (IODP) with Java through analyzing the teaching character of descriptive geometry. IODP developed not only has a flexible drawing environment with the function of mutual drawing, but also is able to judge the drawing made by students and give feedback at the same time. This platform gives an effective way for Internet education on engineering graphics.
文摘In the present work,the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling.The major features of such systems related to the ways of formation of the two-dimensional complex drawing of a geometrical image on the basis of laws of projective connections are revealed.Interrelations of the elements of different systems of measurement with various projections of a geometrical image are defined.The relative location of projections of a geometrical image into the constructed two-dimensional complex drawings for various systems of measurement is discussed.The rationale behind a particular arrangement of views in the projective drawing of a product in the analyzed systems of measurement is explained.
