| 利用对称性计算积分域有方向性的积分 |
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| 引用本文： | 王庆东.利用对称性计算积分域有方向性的积分[J].高师理科学刊,2014(1):16-19. |
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| 作者姓名： | 王庆东 |
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| 作者单位： | 商丘师范学院数学与信息科学学院,河南商丘476000 |
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| 基金项目： | 国家级特色专业建设点项目（TSI1575）;河南省高等教育教学改革研究省级重点项目（2012SJGLX033） |
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| 摘 要： | 利用积分域的对称性研究了积分计算的简化问题．针对积分域由对称的两部分组成且有方向性，及积分域具有轮换对称性的两种情形，给出了积分计算的简化公式，统一了已有的相关简化运算的形式．
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| 关 键 词： | 积分域 对称性 方向性 轮换对称性 |
The calculation of integral with the directionality integral domain using symmetry |
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| WANG Qing-dong.The calculation of integral with the directionality integral domain using symmetry[J].Journal of Science of Teachers＇College and University,2014(1):16-19. |
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| Authors: | WANG Qing-dong |
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| Institution: | WANG Qing-dong ( School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu 476000, China ) |
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| Abstract: | Simplified problems for integral calculation were studied by using the symmetry of integral domain. Gave a simplified formula for integral calculation when the integral domain consists of two symmetrical parts and have directionality, as well as the integral domain is translatable symmetry. And the existing related forms of simplified operation were unified. |
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| Keywords: | integral domain symmetry directionality translatable symmetry |
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