{"id":"https://openalex.org/W4403211489","doi":"https://doi.org/10.1109/ispdc62236.2024.10705393","title":"A Methodology for Computing Irrational Numbers","display_name":"A Methodology for Computing Irrational Numbers","publication_year":2024,"publication_date":"2024-07-08","ids":{"openalex":"https://openalex.org/W4403211489","doi":"https://doi.org/10.1109/ispdc62236.2024.10705393"},"language":"en","primary_location":{"id":"doi:10.1109/ispdc62236.2024.10705393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ispdc62236.2024.10705393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 23rd International Symposium on Parallel and Distributed Computing (ISPDC)","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/A5082515789","display_name":"Thomas Keller","orcid":"https://orcid.org/0000-0002-0430-8438"},"institutions":[{"id":"https://openalex.org/I4210120439","display_name":"University of Applied Sciences of the Grisons","ror":"https://ror.org/032ymzc07","country_code":"CH","type":"education","lineage":["https://openalex.org/I4210120439"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Thomas Keller","raw_affiliation_strings":["University of Applied Sciences DAViS,Chur,Switzerland"],"affiliations":[{"raw_affiliation_string":"University of Applied Sciences DAViS,Chur,Switzerland","institution_ids":["https://openalex.org/I4210120439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016295654","display_name":"Michael Burch","orcid":"https://orcid.org/0000-0003-4756-5335"},"institutions":[{"id":"https://openalex.org/I4210120439","display_name":"University of Applied Sciences of the Grisons","ror":"https://ror.org/032ymzc07","country_code":"CH","type":"education","lineage":["https://openalex.org/I4210120439"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Michael Burch","raw_affiliation_strings":["University of Applied Sciences DAViS,Chur,Switzerland"],"affiliations":[{"raw_affiliation_string":"University of Applied Sciences DAViS,Chur,Switzerland","institution_ids":["https://openalex.org/I4210120439"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047468992","display_name":"Heiko R\u00f6lke","orcid":"https://orcid.org/0000-0002-9141-0886"},"institutions":[{"id":"https://openalex.org/I4210120439","display_name":"University of Applied Sciences of the Grisons","ror":"https://ror.org/032ymzc07","country_code":"CH","type":"education","lineage":["https://openalex.org/I4210120439"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Heiko R\u00f6lke","raw_affiliation_strings":["University of Applied Sciences DAViS,Chur,Switzerland"],"affiliations":[{"raw_affiliation_string":"University of Applied Sciences DAViS,Chur,Switzerland","institution_ids":["https://openalex.org/I4210120439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082515789"],"corresponding_institution_ids":["https://openalex.org/I4210120439"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21110439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.42179998755455017,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.42179998755455017,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/irrational-number","display_name":"Irrational number","score":0.6969534754753113},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6567264199256897},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3616487383842468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14271146059036255}],"concepts":[{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.6969534754753113},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6567264199256897},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3616487383842468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14271146059036255},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ispdc62236.2024.10705393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ispdc62236.2024.10705393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 23rd International Symposium on Parallel and Distributed Computing (ISPDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W89183676","https://openalex.org/W1546322593","https://openalex.org/W1970495400","https://openalex.org/W2079513943","https://openalex.org/W2149797471","https://openalex.org/W2169019399","https://openalex.org/W2955478465","https://openalex.org/W3092058905","https://openalex.org/W3135621084","https://openalex.org/W4243817047","https://openalex.org/W4312398365","https://openalex.org/W4312920048","https://openalex.org/W4362648477","https://openalex.org/W4391251734","https://openalex.org/W6608473947","https://openalex.org/W6610072603","https://openalex.org/W6632001192","https://openalex.org/W6809630473","https://openalex.org/W6858407908"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W3088646517","https://openalex.org/W2973552040","https://openalex.org/W2185277279","https://openalex.org/W4220768180","https://openalex.org/W2377639682","https://openalex.org/W2792087242","https://openalex.org/W2387799803","https://openalex.org/W3100817393"],"abstract_inverted_index":{"Irrational":[0,58],"numbers":[1,59],"are":[2,200],"difficult":[3],"to":[4,7,36,95,116,120,129,147,220],"compute":[5,97,121,226],"due":[6],"their":[8],"non-rational":[9],"nature,":[10],"i.e.":[11],"they":[12,75,81],"cannot":[13],"just":[14,69],"be":[15,61],"expressed":[16,62],"as":[17,63,107,110,202],"a":[18,64,100,184],"ratio":[19,45],"consisting":[20],"of":[21,27,51,66,85,91,159,166,178,197,231,243],"two":[22,160],"integer":[23],"numbers.":[24],"Various":[25],"examples":[26],"these":[28,154,198],"irrational":[29,103,222],"constants":[30],"exist,":[31],"like":[32,70],"the":[33,43,48,56,210,221],"circle\u2019s":[34],"circumference":[35],"its":[37],"diameter":[38],"$\\pi$,":[39],"Euler\u2019s":[40],"number":[41,87,104,223],"e,":[42],"Golden":[44],"$\\phi$,":[46],"or":[47,53],"square":[49],"roots":[50],"2,3,":[52],"5,":[54],"and":[55,98,122,168,173,205,225,240],"like.":[57],"can":[60],"sequence":[65],"decimal":[67,229],"digits":[68,109],"other":[71],"real":[72],"numbers,":[73],"however,":[74],"do":[76,80],"not":[77],"terminate":[78],"nor":[79],"contain":[82],"some":[83],"kind":[84],"repeating":[86],"pattern.":[88],"The":[89],"goal":[90],"our":[92,118,215,244],"work":[93],"is":[94,114,145],"efficiently":[96],"store":[99],"very":[101],"large":[102,125],"by":[105,217],"computing":[106,144],"many":[108],"possible.":[111],"This":[112],"test":[113],"designed":[115],"improve":[117],"ability":[119],"process":[123],"extremely":[124],"datasets":[126],"in":[127,171],"order":[128],"prepare":[130],"ourselves":[131],"for":[132],"future":[133,241],"real-world":[134],"applications":[135],"based":[136],"on":[137],"computational-intensive":[138],"data":[139],"analytics":[140],"concepts,":[141],"hence":[142],"high-performance":[143],"required":[146],"solve":[148],"such":[149,183],"data-related":[150],"problems.":[151],"To":[152,181],"reach":[153],"goals":[155],"we":[156,186,234],"make":[157],"use":[158],"AMD":[161],"processors":[162],"with":[163],"one":[164],"terabyte":[165],"RAM":[167],"64":[169],"cores":[170],"total,":[172],"an":[174],"aggregated":[175],"510":[176],"terabytes":[177],"disk":[179,190],"space.":[180],"run":[182],"computation,":[185],"employ":[187],"38":[188],"hard":[189],"drives":[191],"running":[192],"at":[193],"$7,200":[194],"\\mathrm{rpm}.":[195],"34$":[196],"disks":[199,207],"used":[201],"swap":[203],"space":[204],"4":[206],"will":[208],"hold":[209],"final":[211],"digits.":[212],"We":[213],"illustrate":[214],"approach":[216],"applying":[218],"it":[219],"$\\pi$":[224],"62.8":[227],"trillion":[228],"places":[230],"it.":[232],"Finally,":[233],"discuss":[235],"scalability":[236],"issues,":[237],"limitations,":[238],"challenges,":[239],"directions":[242],"methodology.":[245]},"counts_by_year":[],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
