{"id":"https://openalex.org/W2023315896","doi":"https://doi.org/10.1145/2509002.2509012","title":"Solution to exchanges 10.3 puzzle","display_name":"Solution to exchanges 10.3 puzzle","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2023315896","doi":"https://doi.org/10.1145/2509002.2509012","mag":"2023315896"},"language":"en","primary_location":{"id":"doi:10.1145/2509002.2509012","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2509002.2509012","pdf_url":null,"source":{"id":"https://openalex.org/S4210233839","display_name":"ACM SIGecom Exchanges","issn_l":"1551-9031","issn":["1551-9031"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGecom Exchanges","raw_type":"journal-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/A5043944316","display_name":"Robin Ryder","orcid":"https://orcid.org/0000-0002-7467-0467"},"institutions":[{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Robin J. Ryder","raw_affiliation_strings":["Universit\u00e9 Paris-Dauphine","Universite paris dauphine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Dauphine","institution_ids":["https://openalex.org/I56435720"]},{"raw_affiliation_string":"Universite paris dauphine","institution_ids":["https://openalex.org/I56435720"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043944316"],"corresponding_institution_ids":["https://openalex.org/I56435720"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0941333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"2","first_page":"41","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9240999817848206,"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":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9240999817848206,"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":"Physical Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9186000227928162,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/function","display_name":"Function (biology)","score":0.533373236656189},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5212543606758118},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.508445143699646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5017244815826416},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.496603786945343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49025681614875793},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4752209782600403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3358246088027954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33275681734085083},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2828845977783203},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10889244079589844}],"concepts":[{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.533373236656189},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5212543606758118},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.508445143699646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5017244815826416},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.496603786945343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49025681614875793},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4752209782600403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3358246088027954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33275681734085083},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2828845977783203},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10889244079589844},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2509002.2509012","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2509002.2509012","pdf_url":null,"source":{"id":"https://openalex.org/S4210233839","display_name":"ACM SIGecom Exchanges","issn_l":"1551-9031","issn":["1551-9031"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGecom Exchanges","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2100419804","https://openalex.org/W1991516674","https://openalex.org/W2331047473","https://openalex.org/W2007419663","https://openalex.org/W1981917481","https://openalex.org/W2469076140"],"abstract_inverted_index":{"First,":[0],"a":[1,10,38],"quick":[2],"recap":[3],"of":[4],"the":[5,7,61],"problem:":[6],"payout":[8],"is":[9,60,82],"random":[11],"variable":[12],"X":[13,32,51],";":[14],"we":[15,17,27,66],"assume":[16],"know":[18,28],"its":[19],"distribution":[20],"F":[21,30,45],",":[22,50,57,71,75],"and":[23,79],"in":[24,84],"particular":[25],"that":[26,43,68,80],"E":[29,44],"[":[31,46],"].":[33],"We":[34],"are":[35],"looking":[36],"for":[37],"function":[39],"\u03c9":[40,47,72,81],"(\u00b7,\u00b7)":[41],"such":[42],"(":[48,73],"t":[49,56,70,74,85],")]":[52],"=":[53,77],"r":[54,59],"\u00b7":[55],"where":[58],"non-contingency":[62],"hourly":[63],"rate.":[64],"Initially,":[65],"impose":[67],"\u2200":[69],"0)":[76],"0":[78],"linear":[83],".":[86]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}