{"_buckets": {"deposit": "bc24c6a6-23c7-4d37-aa27-ca3dedf41bf2"}, "_deposit": {"id": "2004457", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "2004457"}, "status": "published"}, "_oai": {"id": "oai:u-ryukyu.repo.nii.ac.jp:02004457", "sets": ["1642838403123", "1642838405037"]}, "author_link": [], "item_1617186331708": {"attribute_name": "Title", "attribute_value_mlt": [{"subitem_1551255647225": "3\u6b21\u5143\u7a7a\u9593\u5185\u306e\u7403\u306e\u914d\u7f6e\u306e\u7814\u7a76", "subitem_1551255648112": "ja"}, {"subitem_1551255647225": "Study on arrangements of solid balls in 3-space", "subitem_1551255648112": "en"}]}, "item_1617186419668": {"attribute_name": "Creator", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "\u524d\u539f, \u6ff6", "creatorNameLang": "ja"}]}, {"creatorNames": [{"creatorName": "\u52a0\u85e4, \u6e80\u751f", "creatorNameLang": "ja"}]}, {"creatorNames": [{"creatorName": "\u677e\u672c, \u4fee\u4e00", 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(\u6700\u5c0f\u534a\u5f84)\u3067\u3042\u308b.\u4e00\u65b9,\u4efb\u610f\u306en\u3010greater than or 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"subitem_description_type": "Other"}, {"subitem_description": "1. A cyclic sequence of nonoverlapping unit balls in R^3 in which each consecutive balls are tangent, is called a necklace of pearls. We show that to make a knotted necklace of pearls, 15 unit balls are sufficient. To make a knotted necklace that can be inscribed between a pair of parallel planes with distance 2+\u221a\u003c2\u003e apart, 16 unit balls are necessary, and the trefoil is the unique knot that can be made by 16 unit balls. 2. A chain is a finite sequence of balls in which each consecutive pair of balls are tangent. Make a graph by representing vertices by balls, and edges by chains connecting two vertex-balls. Let b_n be the minimum number of balls necessary to make a complete graph of n vertices. Then we got the bound c_1n^3\u003cb_n\u003cc_2n^3 log n. A similar bound is also obtained when we use balls all sitting on a fixed table. 3. For a family F of balls in d-dimensional space R^d, let \u03bb= \u03bb(F)=(the max. radius) / (the min. radius). We proved that for any family of n balls in R^d, there is a direction such that any line with this direction intersects at most O (\u221a\u003c(1+log\u03bb)n log n\u003e) balls. On the otherhand, for n\u3010greater than or equal\u3011d, there is a family of nonoverlapping n balls in R^d such that for any direction, there is a line with this direction that intersects at least n-d+1 balls. For a family of balls sitting on a fixed table in R^3, we also got an upper bound of the average number of balls pierced by a vertical line meeting the table. 4. If a family of nonoverlapping balls in R^3 satisfies that log\u03bb=o ((n/log n)^\u003c1/3\u003e), then there is a plane both sides of which contain n/2-o (n) intact balls.", "subitem_description_type": "Other"}, {"subitem_description": "\u672a\u516c\u958b\uff1aP.7\uff5e120\uff08\u8ad6\u6587\u5225\u5237\u306e\u305f\u3081\uff09", "subitem_description_type": "Other"}, {"subitem_description": "\u7814\u7a76\u5831\u544a\u66f8", "subitem_description_type": "Other"}]}, "item_1617186643794": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_1522300295150": "ja", "subitem_1522300316516": "\u524d\u539f\u6ff6"}]}, "item_1617186702042": {"attribute_name": "Language", "attribute_value_mlt": [{"subitem_1551255818386": "jpn"}]}, "item_1617186783814": {"attribute_name": "Identifier", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/20.500.12000/9347"}]}, "item_1617186920753": {"attribute_name": "Source Identifier", "attribute_value_mlt": [{"subitem_1522646500366": "NCID", "subitem_1522646572813": "BA64482732"}]}, "item_1617187056579": {"attribute_name": "Bibliographic Information", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2001-03", "bibliographicIssueDateType": "Issued"}, "bibliographicPageStart": "none"}]}, "item_1617258105262": {"attribute_name": "Resource Type", "attribute_value_mlt": [{"resourcetype": "research report", "resourceuri": "http://purl.org/coar/resource_type/c_18ws"}]}, "item_1617265215918": {"attribute_name": "Version Type", "attribute_value_mlt": [{"subitem_1522305645492": "VoR", "subitem_1600292170262": "http://purl.org/coar/version/c_970fb48d4fbd8a85"}]}, "item_1617605131499": {"attribute_name": "File", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "download_preview_message": "", "file_order": 0, "filename": "11640129.pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 0, "url": {"objectType": "fulltext", "url": "https://u-ryukyu.repo.nii.ac.jp/record/2004457/files/11640129.pdf"}, "version_id": "ec3874ce-6e75-4cd7-868e-9de29383eb90"}]}, "item_title": "3\u6b21\u5143\u7a7a\u9593\u5185\u306e\u7403\u306e\u914d\u7f6e\u306e\u7814\u7a76", "item_type_id": "15", "owner": "1", "path": ["1642838403123", "1642838405037"], "permalink_uri": "http://hdl.handle.net/20.500.12000/9347", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2009-03-23"}, "publish_date": "2009-03-23", "publish_status": "0", "recid": "2004457", "relation": {}, "relation_version_is_last": true, "title": ["3\u6b21\u5143\u7a7a\u9593\u5185\u306e\u7403\u306e\u914d\u7f6e\u306e\u7814\u7a76"], "weko_shared_id": -1}