{"id":"https://openalex.org/W4320507471","doi":"https://doi.org/10.1145/3575828.3575835","title":"Grid theorem: Expression Derived from Quadratic Division of Grid of Geometric Space by Diagonal Central Logic","display_name":"Grid theorem: Expression Derived from Quadratic Division of Grid of Geometric Space by Diagonal Central Logic","publication_year":2022,"publication_date":"2022-10-14","ids":{"openalex":"https://openalex.org/W4320507471","doi":"https://doi.org/10.1145/3575828.3575835"},"language":"en","primary_location":{"id":"doi:10.1145/3575828.3575835","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3575828.3575835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 7th International Conference on Systems, Control and Communications","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010641494","display_name":"Guoxian Wang","orcid":"https://orcid.org/0000-0002-3445-7223"},"institutions":[{"id":"https://openalex.org/I4210131857","display_name":"Yunnan Forestry Vocational and Technical College","ror":"https://ror.org/03d8y7214","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131857"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoxian Wang","raw_affiliation_strings":["Yunnan Vocational and Technical College of Agriculture, China"],"affiliations":[{"raw_affiliation_string":"Yunnan Vocational and Technical College of Agriculture, China","institution_ids":["https://openalex.org/I4210131857"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010641494"],"corresponding_institution_ids":["https://openalex.org/I4210131857"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20508564,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.48910000920295715,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.48910000920295715,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13601","display_name":"Urban Transport Systems Analysis","score":0.4180000126361847,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.40059998631477356,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.8161813020706177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6010894179344177},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.511508584022522},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5051396489143372},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5003855228424072},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4457625448703766},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4180940091609955},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4157223403453827},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39149588346481323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2048223316669464}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.8161813020706177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6010894179344177},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.511508584022522},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5051396489143372},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5003855228424072},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4457625448703766},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4180940091609955},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4157223403453827},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39149588346481323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2048223316669464},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3575828.3575835","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3575828.3575835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 7th International Conference on Systems, Control and Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.46000000834465027,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2135584473","https://openalex.org/W2964223869","https://openalex.org/W2626141450","https://openalex.org/W2810740133","https://openalex.org/W2114045837","https://openalex.org/W2792539140","https://openalex.org/W2005808740","https://openalex.org/W2295130398","https://openalex.org/W4302055909","https://openalex.org/W2351798159"],"abstract_inverted_index":{"In":[0],"this":[1,16,120],"paper,":[2],"the":[3,18,24,29,31,42,45,51,62,65,70,80,88,94,108,111,115],"problem":[4],"of":[5,56,64,79,110,119],"particle":[6],"spacing":[7],"in":[8,23,41,50],"geometric":[9,25,33,67],"space":[10],"is":[11,21,35,59,74,85,102],"analyzed":[12],"geometrically.":[13],"Only":[14],"for":[15],"problem,":[17],"\"Grid":[19],"theorem\"":[20],"proposed":[22],"space.":[26],"According":[27],"to":[28,93],"theorem,":[30],"plane":[32,66],"graph":[34],"drawn":[36,60],"on":[37,61],"two":[38,46],"adjacent":[39],"particles":[40,47],"geometric,":[43],"and":[44,69,106,114,117],"are":[48,123],"planned":[49],"graph.":[52],"The":[53],"diagonal":[54,58,71,82],"bisector":[55],"each":[57],"basis":[63],"diagram,":[68],"center":[72,83,90],"point":[73,84,91],"obtained.":[75],"Furthermore,":[76],"a":[77,98],"direction":[78],"same":[81],"taken":[86],"as":[87],"secondary":[89],"according":[92],"subdivision":[95],"line.":[96],"Then,":[97],"feasible":[99],"rule":[100,121],"expression":[101,122],"obtained":[103],"by":[104],"summarizing":[105],"analyzing":[107],"results":[109],"respective":[112],"spacing,":[113],"calculation":[116],"evaluation":[118],"extended.":[124]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}