数学反演思想及其发展
首发时间:2012-06-25
摘要:讨论了反演变换、级数反演、反演理论、关系映射反演方法和反演集合理论的思想差异和相互之间关系,指出:关系映射反演方法思想包含级数反演思想,级数反演思想包含反演变换思想,在有限集上关系映射反演方法和反演理论可以统一为反演集合。并举例说明了反演集合理论在反演理论(联合反演)中的应用。
关键词: 反演集合 反演思想 关系映射反演方法 反演理论 级数反演 反演变换
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Inversion Thoughts in Mathematics and Its Development
Abstract:In this thesis, the author intends to discuss the ideological differentiae and mutual relations among the inversion transformation, the series reversion, the inverse problem theory, the method of relation mapping inversion, and the inversion set theory. The author points out that method of relation mapping inversion comprises series reversion, while series reversion includes inversion transformation, therefore, method of relation mapping inversion and inverse problem theory could unified into inversion set theory within finite set. The author also illustrates the applications of inversion set theory in the inverse problem theory (joint inversion).
Keywords: Inversion Set Inversion Thoughts Method of Relation Mapping Inversion Inverse Problem Theory Series Reversion Inversion Transformation
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No.4481873878031339****
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