{"id":"https://openalex.org/W7225408385","doi":"https://doi.org/10.5281/zenodo.24023743","title":"THE OWARI SERIES: AN ILLUSTRATIVE EXPLORATION OF SUMMATION AND PARTIAL FRACTIONS IN A 2-OR-3 SCORING VARIANT.","display_name":"THE OWARI SERIES: AN ILLUSTRATIVE EXPLORATION OF SUMMATION AND PARTIAL FRACTIONS IN A 2-OR-3 SCORING VARIANT.","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225408385","doi":"https://doi.org/10.5281/zenodo.24023743"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24023743","doi":"https://doi.org/10.5281/zenodo.24023743","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023743","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24023743","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139026103","display_name":"J J Yagah Batu","orcid":"https://orcid.org/0009-0002-2169-8631","observed_orcids":["https://orcid.org/0009-0002-2169-8631"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Batu J J, Yagah","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0002-2169-8631","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5139026103"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.2619999945163727,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.2619999945163727,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.19419999420642853,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.14730000495910645,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mancala","display_name":"Mancala","score":0.5989999771118164},{"id":"https://openalex.org/keywords/recreational-mathematics","display_name":"recreational mathematics","score":0.7310000061988831},{"id":"https://openalex.org/keywords/partial-fractions","display_name":"partial fractions","score":0.6399999856948853},{"id":"https://openalex.org/keywords/telescoping-series","display_name":"telescoping series","score":0.9779999852180481},{"id":"https://openalex.org/keywords/arithmetic-progressions","display_name":"arithmetic progressions","score":0.8169999718666077},{"id":"https://openalex.org/keywords/geometric-progression","display_name":"geometric progression","score":1.0},{"id":"https://openalex.org/keywords/game-scoring","display_name":"game scoring","score":0.3880000114440918},{"id":"https://openalex.org/keywords/score-distribution","display_name":"score distribution","score":0.3449999988079071}],"concepts":[{"id":"https://openalex.org/C15341905","wikidata":"https://www.wikidata.org/wiki/Q2164293","display_name":"Telescoping series","level":2,"score":0.9254000186920166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6116999983787537},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5353000164031982},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5120000243186951},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.48489999771118164},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.40149998664855957},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.37709999084472656},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.37630000710487366},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.31220000982284546},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2924000024795532},{"id":"https://openalex.org/C2984538763","wikidata":"https://www.wikidata.org/wiki/Q2260590","display_name":"Scoring system","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.27880001068115234},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2711000144481659},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C63002673","wikidata":"https://www.wikidata.org/wiki/Q2260590","display_name":"Scoring rule","level":2,"score":0.2524000108242035}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24023743","doi":"https://doi.org/10.5281/zenodo.24023743","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023743","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24023744","doi":"https://doi.org/10.5281/zenodo.24023744","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023744","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24023743","doi":"https://doi.org/10.5281/zenodo.24023743","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023743","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2334973594","https://openalex.org/W7095485355","https://openalex.org/W2914817848","https://openalex.org/W93765889","https://openalex.org/W4252454105","https://openalex.org/W4298135668","https://openalex.org/W1600986633","https://openalex.org/W7098310841","https://openalex.org/W2433683401","https://openalex.org/W2202384122"],"abstract_inverted_index":{"This":[0],"paper":[1,116,183],"presents":[2],"a":[3,19,23,29,85,125],"recreational":[4],"mathematical":[5],"exploration":[6],"derived":[7],"from":[8,191],"the":[9,39,69,122,135,149,189,192],"traditional":[10],"African":[11],"board":[12,70],"game":[13,140],"Owari":[14],"(Mancala).":[15],"The":[16,97,115,182],"study":[17],"examines":[18],"specific":[20],"variant":[21],"where":[22,148],"score":[24,157],"is":[25,74,101,124,137],"achieved":[26],"only":[27],"if":[28],"player":[30],"casts":[31],"marbles":[32],"totaling":[33],"exactly":[34],"two":[35,118],"or":[36],"three":[37],"into":[38],"opponent\u2019s":[40],"home,":[41],"with":[42,141,166],"no":[43],"scoring":[44,99,173],"occurring":[45],"in":[46,84],"one\u2019s":[47],"own":[48,57],"home.":[49],"Both":[50],"players":[51],"sow":[52],"anticlockwise":[53],"relative":[54],"to":[55,132,153,187],"their":[56,65],"perspective;":[58],"because":[59],"they":[60],"sit":[61],"opposite":[62],"one":[63],"another,":[64],"physical":[66],"trajectories":[67],"on":[68],"are":[71,177],"opposite.":[72],"It":[73],"conjectured":[75],"that":[76],"this":[77,89],"opposing":[78],"dynamic":[79],"may":[80],"produce":[81],"alternating":[82],"signs":[83],"telescoping":[86,111,167],"series,":[87],"though":[88],"remains":[90],"an":[91,138],"open":[92],"question":[93],"(see":[94],"Section":[95],"5.6).":[96],"game\u2019s":[98],"sequence":[100],"illustrated":[102],"using":[103],"arithmetic":[104],"progressions":[105,108],"(AP),":[106],"geometric":[107],"(GP),":[109],"and":[110,146,174],"series":[112],"as":[113,179],"analogies.":[114],"analyzes":[117],"distinct":[119],"illustrative":[120,139],"games:":[121],"first":[123],"concrete":[126],"10-round":[127],"example":[128],"whose":[129],"residual":[130],"happens":[131],"be":[133],"1/12;":[134],"second":[136],"final":[142],"scores":[143,151],"of":[144],"23":[145],"25,":[147],"cumulative":[150],"sum":[152],"48.":[154],"By":[155],"representing":[156],"distributions":[158],"through":[159],"partial":[160],"fractions,":[161],"thestudy":[162],"illustrates":[163,196],"possible":[164,197],"analogies":[165],"series.":[168],"Additional":[169],"variants":[170],"including":[171],"1-or-4":[172],"symmetric":[175],"sowing":[176],"introduced":[178],"worked":[180],"examples.":[181],"does":[184],"not":[185],"claim":[186],"derive":[188],"sequences":[190],"rules;":[193],"rather,":[194],"it":[195],"mathematicalanalogies.":[198]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}
