Geometric Condition of Singularity of

Lijuan Chen, Li Zhang

Abstract


The aim of this paper is to investigate the geometric condition of singularity of . The algebraic of singularityof is obtained in (Luo and Chen, 2005). The result of this paper will be useful to further study the geometric condition of singularity of .


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{"cc_re__cc_re__cc_by_3_0": ["\t\t<h4>Abstract</h4>\n\t\t<br />\n\t\t<div><p>The aim of this paper is to investigate the geometric condition of singularity of . The algebraic of singularityof is obtained in (Luo and Chen, 2005). The result of this paper will be useful to further study the geometric condition of singularity of .</p></div>\n\t\t<br />\n\t\t</div>\n\t\n\t\n\t\n\t\t\t\t\n\t\t\tFull Text:\n\t\t\t\t\t\t\t\t\t<a href=\"http://ccsenet.org/journal/index.php/mas/article/view/3047/2814\" class=\"file\" target=\"_parent\">PDF</a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\n\n\n<br /><br />\n\t\t<a target=\"_new\" rel=\"license\" href=\"http://creativecommons.org/licenses/by/3.0/\">\n\t\t\t<img alt=\"Creative Commons License\" style=\"border-width:0\" src=\"http://i.creativecommons.org/l/by/3.0/80x15.png\"/>\n\t\t</a>\n\t\t<br/>\n\t\tThis work is licensed under a <a rel=\"license\" target=\"_new\" href=\"http://creativecommons.org/licenses/by/3.0/\">Creative Commons Attribution 3.0  License</a>.\n\n\n<br /><br />\n<p>Modern Applied Science\u00a0\u00a0 ISSN 1913-1844 (Print)\u00a0\u00a0 ISSN 1913-1852  (Online)</p><p>Copyright \u00a9 Canadian Center of Science and Education</p><p>To  make sure that you can receive message", "the geometric condition of singularity of .</p></div>\n\t\t<br />\n\t\t</div>\n\t\n\t\n\t\n\t\t\t\t\n\t\t\tFull Text:\n\t\t\t\t\t\t\t\t\t<a href=\"http://ccsenet.org/journal/index.php/mas/article/view/3047/2814\" class=\"file\" target=\"_parent\">PDF</a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\n\n\n<br /><br />\n\t\t<a target=\"_new\" rel=\"license\" href=\"http://creativecommons.org/licenses/by/3.0/\">\n\t\t\t<img alt=\"Creative Commons License\" style=\"border-width:0\" src=\"http://i.creativecommons.org/l/by/3.0/80x15.png\"/>\n\t\t</a>\n\t\t<br/>\n\t\tThis work is licensed under a <a rel=\"license\" target=\"_new\" href=\"http://creativecommons.org/licenses/by/3.0/\">Creative Commons Attribution 3.0  License</a>.\n\n\n<br /><br />\n<p>Modern Applied Science\u00a0\u00a0 ISSN 1913-1844 (Print)\u00a0\u00a0 ISSN 1913-1852  (Online)</p><p>Copyright \u00a9 Canadian Center of Science and Education</p><p>To  make sure that you can receive messages from us, please add the 'ccsenet.org'  domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox',  check your 'bulk mail' or 'junk mail' folders.</p><p>\u00a0</p>\n</div><!-- content -->\n</div><!-- main -->\n</div><!-- body -->\n\n\n"], "copyright__copyright__copyright": ["useful to further study the geometric condition of singularity of .\n\n\nFull Text: PDF\n\n\nThis work is licensed under a Creative Commons Attribution 3.0 License.\n\nModern Applied Science\u00a0\u00a0 ISSN 1913-1844 (Print)\u00a0\u00a0 ISSN 1913-1852 (Online)\n\nCopyright \u00a9 Canadian Center of Science and Education\n\nTo make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.\n\n\u00a0", "useful to further study the geometric condition of singularity of .\n\n\nFull Text: PDF\n\n\nThis work is licensed under a Creative Commons Attribution 3.0 License.\n\nModern Applied Science\u00a0\u00a0 ISSN 1913-1844 (Print)\u00a0\u00a0 ISSN 1913-1852 (Online)\n\nCopyright \u00a9 Canadian Center of Science and Education\n\nTo make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.\n\n\u00a0", "useful to further study the geometric condition of singularity of .\n\n\nFull Text: PDF\n\n\nThis work is licensed under a Creative Commons Attribution 3.0 License.\n\nModern Applied Science\u00a0\u00a0 ISSN 1913-1844 (Print)\u00a0\u00a0 ISSN 1913-1852 (Online)\n\nCopyright \u00a9 Canadian Center of Science and Education\n\nTo make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.\n\n\u00a0", "useful to further study the geometric condition of singularity of .\n\n\nFull Text: PDF\n\n\nThis work is licensed under a Creative Commons Attribution 3.0 License.\n\nModern Applied Science\u00a0\u00a0 ISSN 1913-1844 (Print)\u00a0\u00a0 ISSN 1913-1852 (Online)\n\nCopyright \u00a9 Canadian Center of Science and Education\n\nTo make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.\n\n\u00a0"]}