{“id”:“https://openalex.org/W1747559601“,”doi“:”https://doi.org/10.1007/1-4020-8141-3_12“,”title“:”A Matrix Q Analogue of the Parikh Map“,”display_name“:”AMatrix Q-Analogue of theParikh地图“,”publication_year“:2006,”publitation_date“:”2006-02-21“,”ids“:{”openalex“:”https://openalex.org/W1747559601“,”doi“:”https://doi.org/10.1007/1-4020-8141-3_12“,”mag“:”1747559601“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1007/1-4020-8141-3_12,“pdf_url”:https://link.springer.com/content/pdf/10.1007/1-4020-8141-3_12.pdf,“源”:{“id”:https://openalex.org/S4306463519“,”display_name“:”Kluwer Academic Publishers电子书“,”issn_l“:null,”issn“:null,”is_oa“:false,”isin_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P4310318900","https://openalex.org/P431031965“],”host_organization_lineage_names“:[”施普林格科学+商业媒体“,”施普林格自然“],”type“:”电子书平台“},”license“:null,”license_id“:null,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”type“:”图书章节“,”type_crossref“:”图书章节“,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”青铜“,”oaurl“:”https://link.springer.com/content/pdf/10.1007/1-4020-8141-3_12.pdf“,”any_repository_has_fulltext“:false},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5026125535“,”display_name“:”\u00d6mer E\u011fecio\u01e7lu“,”orcid“:”https://orcid.org/0000-0002-6070-761X},“机构”:[{“id”:https://openalex.org/I2803209242“,”display_name“:”加州大学系统“,”ror“:”https://ror.org/00pjdza24“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I2803209242“]}],”国家“:[”美国“],”is_corresponding“:false,”raw_author_name“:”Omer Egecioglu“,”raw_affiliation_strings“:[“加利福尼亚大学”],”affiliations“:[{”raw_affiliation_string“:”加利福尼亚大学“,”institution_ids“:[https://openalex.org/I2803209242“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5074809336“,”display_name“:”\u00d3scar H.Ibarra“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I2803209242“,”display_name“:”加州大学系统“,”ror“:”https://ror.org/00pjdza24“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I2803209242“]}],”国家“:[”美国“],”is_corresponding“:false,”raw_author_name“:”Oscar H.Ibarra“,”raw _ afiliation_strings“:[“加利福尼亚大学”],”affiliations“:[{”raw_ afiliation _string“:”加利福尼亚大学“,”institution_ids“:[https://openalex.org/I2803209242“]}]}],”institution_assertions“:[],”countries_distinct_count“:1,”institutions_disting_count”:1,“corresponding_author_ids”:[]、“correspending_institution_ids“:[].”apc_list“:null,”apc_payed“:nul,”fwci“:1.515,”has_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count:12,“citation_normalized_percentile”:{“value”:0.8 22465,“is_in_top_1_percent“:false,”is_in_top_10_percennt“:false},”cited_by_percentile_year“:{”min“:83,”max“:84},“biblio”:{“volume”:null,”issue“:null”,“first_page”:“125”,“last_page”:“138”},,“is_retracted”:false、“is_paratext”:false,“primary_topic”:{“id”:“https://openalex.org/T11567“,”display_name“:”自动机理论和形式语言“,”score“:0.9991,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T11567“,”display_name“:”自动机理论和形式语言“,”score“:0.9991,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10588“,”display_name“:”动力学系统与混沌理论“,”score“:0.992,”subfield“:{”id“:”https://openalex.org/subfields/2610“,”display_name“:”数学物理“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11269“,”display_name“:”文本压缩和索引算法“,”score“:0.9904,”subfield“:{”id“:”https://openalex.org/subfields/1702“,”display_name“:”Artificial Intelligence“},”field“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/morphia“,”display_name“:”Morphism“,”score“:0.7265052},{”id“:”https://openalex.org/keywords/matrix网站“,”display_name“:”矩阵(化学分析)“,”分数“:0.6070862},{”id“:”https://openalex.org/keywords/string匹配“,”display_name“:”字符串匹配“,”score“:0.503355},{”id“:”https://openalex.org/keywords/triangular-matrix网站“,”display_name“:”三角矩阵“,”score“:0.48931023}],”concepts“:[{”id“:”https://openalex.org/C2778029271,“wikidata”:https://www.wikidata.org/wiki/Q5421931“,”display_name“:”扩展(谓词逻辑)“,”level“:2,”score“:0.744751},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.7372141},{”id“:”https://openalex.org/C137212723,“wikidata”:https://www.wikidata.org/wiki/Q1948412“,”display_name“:”Morphism“,”level“:2,”score“:0.7265052},{”id“:”https://openalex.org/C106487976,“wikidata”:https://www.wikidata.org/wiki/Q685816“,”display_name“:”Matrix(化学分析)“,”level“:2,”score“:0.6070862},{”id“:”https://openalex.org/C112876837,“wikidata”:https://www.wikidata.org/wiki/Q837518“,”display_name“:”字母“,”level“:2,”score“:0.57357436},{”id“:”https://openalex.org/C90805587,“wikidata”:https://www.wikidata.org/wiki/Q10944557“,”display_name“:”Word(群论)“,”level“:2,”score“:0.5564417},{”id“:”https://openalex.org/C41608201,“wikidata”:https://www.wikidata.org/wiki/Q980509“,”display_name“:”Embedding“,”level“:2,”score“:0.5557611},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.50041103},{”id“:”https://openalex.org/C104528550,“wikidata”:https://www.wikidata.org/wiki/Q506265“,”display_name“:”三角矩阵“,”level“:3,”score“:0.48931023},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.38234255},{”id“:”https://openalex.org/C202444582,“wikidata”:https://www.wikidata.org/wiki/Q837863“,”display_name“:”纯数学“,”level“:1,”score“:0.2421169},{”id“:”https://openalex.org/C96442724,“wikidata”:https://www.wikidata.org/wiki/Q242188“,”display_name“:”可逆矩阵“,”level“:2,”score“:0.14484751},{”id“:”https://openalex.org/C2524010,“wikidata”:https://www.wikidata.org/wiki/Q8087“,”display_name“:”Geometry“,”level“:1,”score“:0.13899648},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.09951654},{”id“:”https://openalex.org/C154945302,“wikidata”:https://www.wikidata.org/wiki/Q11660“,”display_name“:”人工智能“,”level“:1,”score“:0.08870083},{”id“:”https://openalex.org/C41895202,“wikidata”:https://www.wikidata.org/wiki/Q8162“,”display_name“:”语言学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C138885662,“wikidata”:https://www.wikidata.org/wiki/Q5891“,”display_name“:”哲学“,”等级“:0,”分数“:0.0},{”id“:”https://openalex.org/C159985019,“wikidata”:https://www.wikidata.org/wiki/Q181790“,”display_name“:”复合材料“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C192562407,“wikidata”:https://www.wikidata.org/wiki/Q228736“,”display_name“:”材料科学“,”level“:0,”score“:0.0},{”id“:”https://openalex.org/C199360897,“wikidata”:https://www.wikidata.org/wiki/Q9143“,”display_name“:”编程语言“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:1.”locations“:[{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1007/1-4020-8141-3_12,“pdf_url”:https://link.springer.com/content/pdf/10.1007/1-4020-8141-3_12.pdf,“源”:{“id”:https://openalex.org/S4306463519“,”display_name“:”Kluwer Academic Publishers电子书“,”issn_l“:null,”issn“:null,”is_oa“:false,”is_ in_doaj“:fase,”is_core“:false,”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P4310318900","https://openalex.org/P431031965“],”host_organization_lineage_names“:[”Springer Science+Business Media“,”Springr Nature“],“type”:“电子书平台”},“license”:null,“licence_id”:nul,“version”:“publishedVersion”,“is_accepted”:true,“is_published”:true}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://doi.org/10.1007/1-4020-8141-3_12,“pdf_url”:https://link.springer.com/content/pdf/10.1007/1-4020-8141-3_12.pdf,“源”:{“id”:https://openalex.org/S4306463519“,”display_name“:”Kluwer Academic Publishers电子书“,”issn_l“:null,”issn“:null,”is_oa“:false,”is_ in_doaj“:fase,”is_core“:false,”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P4310318900","https://openalex.org/P431031965“],”host_organization_lineage_names“:[”Springer Science+Business Media“,”Spring er Nature“],“type”:“电子书平台”},“license”:null,“licence_id”:nul,“version”:“publishedVersion”,“is_accepted”:true,“is_published”:true},”sustainable_development_goals“:[],”grants“:[/],”datasets“:[%,”versions“:[]],”referenced_works_count“:9,”https://openalex.org/W1584587517","https://openalex.org/W1633296370","https://openalex.org/W1973654289","https://openalex.org/W1980267595","https://openalex.org/W2023999667","https://openalex.org/W2033058983","https://openalex.org/W2116509046","https://openalex.org/W2157390113","https://openalex.org/W49893933“],”related_works“:[”https://openalex.org/W856865640","https://openalex.org/W73622364","https://openalex.org/W4320854234","https://openalex.org/W4298247746","https://openalex.org/W2952244080","https://openalex.org/W2768503191","https://openalex.org/W2585385885","https://openalex.org/W2039550936","https://openalex.org/W1573009738","https://openalex.org/W1481670130“],”abstract_inverted_index“:{”We“:[0,48],”introduce“:[1],”an“:[2],”extension“:[3,67],”of“:[4,68102106117119125],”the“:[5,9,54,58,66,69,96103114],”Parikh“:[6,10,70,83,98],”mapping“:[7,71,85],”called“:[8],”q-matrix“:[11,84104],”mapping,“:[12],”which“:[13],”takes““:[14],”其“:[15],”值“:[16],”in“:[17,45],”矩阵“:[18,88],”with“:[19,38],”多项式“:[20],”条目。“:[21],”The“:[22,82100],”morphism“:[23110],”constructed“:[24112],”represents“:[25],”a“:[26,30,34],”word“:[27],”\u03c9“:[28,94107126],”over“:[29],”\ u03ba-letter“:[31,55],”alphates“:[32,56,60],”as“:[33122],”u03ba-dimensional“:[35],”upper-triangular“:[36],“矩阵”:[37],“条目”:[39101],“that”:[40,50,89],“are”:[41],“non-negative”:[42],“积分“:[43],”多项式“:[44],”变量“:[46],”q“:[47],”show“:[49],”by“:[51,76113],”适当“:[52],”嵌入“:[53],”into“:[57],”\u03ba+1)-letter“:[59],”and“:[61,80],”puting“:[62],”q=1,“:[63],”we“:64],”getable“:[65],”to“:[72],”(\ u03ba+1)-维“:[73],”(数字)矩阵“:[74],”引入“:[75],”Mateescu,“:[77],”Salomaa,“:【78,79】,“余。“:[81],”“然而,”:[86],“产生”:[87],“进位”:[90],“更多”:[91],“信息”:[92],“关于”:[93],“比”:[95],“数字”:[97],“矩阵。”:[99],“图像”:[105],“下”:[108],“此”:[109],“是”:[111],“q计数”:[115],“数量”:[116],“出现次数”:[118],“特定”:[120],“单词”:[121],“分散”:[123],“子单词”:[124]},“引用_by_api_url”:“https://api.openalex.org/works?filter=cites:W1747559601”,“counts_by_year”:[{“year”:2023,“cited_by_count”:1},{“year”:2022,“cited_by_count”:1},{“year”:2020,“cited_by_count”:1},{“year”:2019,“cited_by_count”:1},{“year”:2018,“cited_by_count”:1},{“year”:2016,“cited_by_count”:1},{“year”:2013,“cited_by_count”:1}],“updated_date”:“2024-09-19 T18:13:33.653274“,”创建日期“:”2016-06-24“}