The famous F5 algorithm for computing Grobner basis was presented by Faugere in 2002. The original version of F5 is given in programming codes, so it is a bit difficult to understand. In this paper, the F5 algorithm i...The famous F5 algorithm for computing Grobner basis was presented by Faugere in 2002. The original version of F5 is given in programming codes, so it is a bit difficult to understand. In this paper, the F5 algorithm is simplified as F5B in a Buchberger＇s style such that it is easy to understand and implement. In order to describe F5B, we introduce F5-reduction, which keeps the signature of labeled polynomials unchanged after reduction. The equivalence between F5 and F5B is also shown. At last, some versions of the F5 algorithm are illustrated.展开更多
Efforts are needed in ,the following three aspects in configuring contemporary Chinese philosophy： providing various value goals for various social groups; re-constructing the value objective for the Chinese; and pro...Efforts are needed in ,the following three aspects in configuring contemporary Chinese philosophy： providing various value goals for various social groups; re-constructing the value objective for the Chinese; and providing new human nature foundation for contemporary Chinese ethical conduct and legal system. Chinese, Western and Marxist philosophies must break disciplinary segmentation and take the reality of Chinese society and its trends of development as their common platform of thinking. By using their respective intellectual resources, they should endeavor to build up a social philosophy thatmay satisfy the needs of Chinese people and China＇s development, and is able to provide guides to their life and practice.展开更多
文摘The famous F5 algorithm for computing Grobner basis was presented by Faugere in 2002. The original version of F5 is given in programming codes, so it is a bit difficult to understand. In this paper, the F5 algorithm is simplified as F5B in a Buchberger＇s style such that it is easy to understand and implement. In order to describe F5B, we introduce F5-reduction, which keeps the signature of labeled polynomials unchanged after reduction. The equivalence between F5 and F5B is also shown. At last, some versions of the F5 algorithm are illustrated.
文摘Efforts are needed in ,the following three aspects in configuring contemporary Chinese philosophy： providing various value goals for various social groups; re-constructing the value objective for the Chinese; and providing new human nature foundation for contemporary Chinese ethical conduct and legal system. Chinese, Western and Marxist philosophies must break disciplinary segmentation and take the reality of Chinese society and its trends of development as their common platform of thinking. By using their respective intellectual resources, they should endeavor to build up a social philosophy thatmay satisfy the needs of Chinese people and China＇s development, and is able to provide guides to their life and practice.
