{"_buckets": {"deposit": "82990480-75d1-48e6-8269-9d70cbcbd6e6"}, "_deposit": {"id": "2000878", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "2000878"}, "status": "published"}, "_oai": {"id": "oai:u-ryukyu.repo.nii.ac.jp:02000878", "sets": ["1642838338003", "1642838405037"]}, "author_link": [], "item_1617186331708": {"attribute_name": "Title", "attribute_value_mlt": [{"subitem_1551255647225": "The problem of thirteen spheres : A proof for undergraduates", "subitem_1551255648112": "en"}]}, "item_1617186419668": {"attribute_name": "Creator", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Maehara, Hiroshi", "creatorNameLang": "en"}]}]}, "item_1617186476635": {"attribute_name": "Access Rights", "attribute_value_mlt": [{"subitem_1522299639480": "open access", "subitem_1600958577026": "http://purl.org/coar/access_right/c_abf2"}]}, "item_1617186626617": {"attribute_name": "Description", "attribute_value_mlt": [{"subitem_description": "The purpose of this note is to present an elementary proof of the fact that no more than twelve unit balls can simultaneously touch a unit ball in 3-space,a proof that is accessible for undergraduates.", "subitem_description_type": "Other"}, {"subitem_description": "\u8ad6\u6587", "subitem_description_type": "Other"}]}, "item_1617186643794": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_1522300295150": "en", "subitem_1522300316516": "Elsevier Science B.V."}]}, "item_1617186702042": {"attribute_name": "Language", "attribute_value_mlt": [{"subitem_1551255818386": "eng"}]}, "item_1617186783814": {"attribute_name": "Identifier", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/20.500.12000/145"}]}, "item_1617186920753": {"attribute_name": "Source Identifier", "attribute_value_mlt": [{"subitem_1522646500366": "ISSN", "subitem_1522646572813": "01956698"}, {"subitem_1522646500366": "NCID", "subitem_1522646572813": "AA00181294"}]}, "item_1617186941041": {"attribute_name": "Source Title", "attribute_value_mlt": [{"subitem_1522650068558": "en", "subitem_1522650091861": "European Journal of Combinatorics"}]}, "item_1617258105262": {"attribute_name": "Resource Type", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_1617265215918": {"attribute_name": "Version Type", "attribute_value_mlt": [{"subitem_1522305645492": "AM", "subitem_1600292170262": "http://purl.org/coar/version/c_ab4af688f83e57aa"}]}, "item_1617353299429": {"attribute_name": "Relation", "attribute_value_mlt": [{"subitem_1522306287251": {"subitem_1522306382014": "DOI", "subitem_1522306436033": "10.1016/j.ejc.2006.06.019"}}, {"subitem_1522306287251": {"subitem_1522306382014": "URI", "subitem_1522306436033": "http://www.sciencedirect.com/science/journal/01956698"}}]}, "item_1617605131499": {"attribute_name": "File", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "download_preview_message": "", "file_order": 0, "filename": "maehara_h05.pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 0, "url": {"objectType": "fulltext", "url": "https://u-ryukyu.repo.nii.ac.jp/record/2000878/files/maehara_h05.pdf"}, "version_id": "8372bbfa-77b7-46a2-959b-1b4789fcde6f"}]}, "item_title": "The problem of thirteen spheres : A proof for undergraduates", "item_type_id": "15", "owner": "1", "path": ["1642838338003", "1642838405037"], "permalink_uri": "http://hdl.handle.net/20.500.12000/145", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2007-03-01"}, "publish_date": "2007-03-01", "publish_status": "0", "recid": "2000878", "relation": {}, "relation_version_is_last": true, "title": ["The problem of thirteen spheres : A proof for undergraduates"], "weko_shared_id": -1}