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本文根据m组古地磁方向或古地磁极数据,采用数学分析原理,提出了一种综合研究二者内在关系的简单方法。在我们所应用的m组数据中,数据量差别很大,每组的合成向量也未知。采用费歇尔分布的数值分析表明,若给出一组适当的平均值,即使这组数据的精度变化很大,也会获得极为可信的值R。该方法的主要优点是不必考虑是否每组数据本身能够摆脱长期变化的影响,即使涉及到数据中单一的VGP也不例外。例如,作者曾利用该方法确定出北美白垩纪时期的古地磁极。
In this paper, based on the ancient geomagnetic direction of m group or paleomagnetic pole data, the principle of mathematical analysis is used to propose a simple method for comprehensively studying the intrinsic relationship between the two. In the m sets of data we apply, the amount of data varies widely, and the composition vector for each group is unknown. Numerical analysis using Fischer's distribution shows that if a proper set of averages is given, a highly reliable value of R will be obtained, even if the accuracy of the set of data varies widely. The main advantage of this approach is that it does not have to be considered whether each set of data itself can get out of the effects of long-term changes, even when it comes to a single VGP in the data. For example, the authors have used this method to determine paleomagnetic poles in the North American Cretaceous.