{"_buckets": {"deposit": "c1d81a2c-6889-4c59-acfb-e5ddd28b8c29"}, "_deposit": {"id": "34614", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "34614"}, "status": "published"}, "_oai": {"id": "oai:teapot.lib.ocha.ac.jp:00034614", "sets": ["685"]}, "item_11_biblio_info_8": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2007-09", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "28", "bibliographicPageStart": "15", "bibliographicVolumeNumber": "58", "bibliographic_titles": [{"bibliographic_title": "お茶の水女子大學自然科學報告"}]}]}, "item_11_description_17": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_11_description_46": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_description": "紀要論文", "subitem_description_type": "Other"}]}, "item_11_description_7": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "Manipulation of continued fraction, either finite and infinite, was shown to be greatly simplified and systematized by introducing the topological index Z and caterpillar graph. The continuant which was introduced by Euler in 18 century for solving continued fraction problems was shown to be identical to the Z-index of the caterpillar graph derived from the continued fraction concerned. Then the fastest algorithm for solving the Pell equations was obtained. 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