乐胖代购免代理版

{"id":"https://openalex.org/W2080881761","doi":"https://doi.org/10.1145/1576702.1576711","title":"Faster real feasibility via circuit discriminants","display_name":"Faster real feasibility via circuit discriminants","publication_year":2009,"publication_date":"2009-07-28","ids":{"openalex":"https://openalex.org/W2080881761","doi":"https://doi.org/10.1145/1576702.1576711","mag":"2080881761"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1576702.1576711","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.math.tamu.edu/~rojas/fin.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024769926","display_name":"Fr\u00e9d\u00e9ric Bihan","orcid":"https://orcid.org/0000-0002-9754-3815"},"institutions":[{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Bihan","raw_affiliation_strings":["Universite de Savoie, Le Bourget-du-Lac, France"],"affiliations":[{"raw_affiliation_string":"Universite de Savoie, Le Bourget-du-Lac, France","institution_ids":["https://openalex.org/I70900168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005847878","display_name":"J. Maurice Rojas","orcid":"https://orcid.org/0000-0002-1657-2674"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Maurice Rojas","raw_affiliation_strings":["Texas A&M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040697740","display_name":"Casey E. Stella","orcid":null},"institutions":[{"id":"https://openalex.org/I4210117756","display_name":"Shaker Heights Public Library","ror":"https://ror.org/02cjv3666","country_code":"US","type":"archive","lineage":["https://openalex.org/I4210117756"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Casey E. Stella","raw_affiliation_strings":["ION, Shaker Heights, OH, USA"],"affiliations":[{"raw_affiliation_string":"ION, Shaker Heights, OH, USA","institution_ids":["https://openalex.org/I4210117756"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.156,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.786492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":86,"max":87},"biblio":{"volume":null,"issue":null,"first_page":"39","last_page":"46"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Floating-Point Arithmetic in Scientific Computation","score":0.9994,"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":"Floating-Point Arithmetic in Scientific Computation","score":0.9994,"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/T11435","display_name":"Symbolic Computing in Algebraic Geometry and Cryptography","score":0.9992,"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/T11269","display_name":"Text Compression and Indexing Algorithms","score":0.9982,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diophantine-approximation","display_name":"Diophantine approximation","score":0.7305828},{"id":"https://openalex.org/keywords/approximate-matching","display_name":"Approximate Matching","score":0.504385}],"concepts":[{"id":"https://openalex.org/C102966492","wikidata":"https://www.wikidata.org/wiki/Q1227061","display_name":"Diophantine approximation","level":3,"score":0.7305828},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6796234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6057587},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6002895},{"id":"https://openalex.org/C141547133","wikidata":"https://www.wikidata.org/wiki/Q7291996","display_name":"Random variate","level":3,"score":0.5835295},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.57333803},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.54611534},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5008452},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.46811122},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.46698707},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45595956},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.44283321},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42692208},{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.38323277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37419313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22563249},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.11959487},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.098017395},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08321071},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07668853},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1576702.1576711","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.2209","pdf_url":"http://www.math.tamu.edu/~rojas/fin.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0901.4400","pdf_url":"http://arxiv.org/pdf/0901.4400","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/0901.4400","pdf_url":"https://arxiv.org/pdf/0901.4400","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.2209","pdf_url":"http://www.math.tamu.edu/~rojas/fin.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"score":0.76,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":35,"referenced_works":["https://openalex.org/W1490867194","https://openalex.org/W1507575253","https://openalex.org/W1540295818","https://openalex.org/W1602440701","https://openalex.org/W1639726208","https://openalex.org/W1733614360","https://openalex.org/W1967184028","https://openalex.org/W1977415556","https://openalex.org/W1981437696","https://openalex.org/W1996897735","https://openalex.org/W2006311046","https://openalex.org/W2011039300","https://openalex.org/W2011070788","https://openalex.org/W2015161630","https://openalex.org/W2025911494","https://openalex.org/W2046144719","https://openalex.org/W2050394746","https://openalex.org/W2055359591","https://openalex.org/W2062549444","https://openalex.org/W2067754486","https://openalex.org/W2085352155","https://openalex.org/W2087566144","https://openalex.org/W2108397696","https://openalex.org/W2113097540","https://openalex.org/W2123100908","https://openalex.org/W2162052349","https://openalex.org/W2321772449","https://openalex.org/W2552827349","https://openalex.org/W2731698263","https://openalex.org/W2963231539","https://openalex.org/W3140976322","https://openalex.org/W4213009134","https://openalex.org/W4255213956","https://openalex.org/W66672025","https://openalex.org/W75100087"],"related_works":["https://openalex.org/W4385711919","https://openalex.org/W4384345859","https://openalex.org/W4323907493","https://openalex.org/W4297688629","https://openalex.org/W4254888883","https://openalex.org/W2971148848","https://openalex.org/W2808944898","https://openalex.org/W2378613393","https://openalex.org/W2323172212","https://openalex.org/W1799780713"],"abstract_inverted_index":{"We":[0,44],"show":[1],"that":[2,54],"detecting":[3,58],"real":[4,59],"roots":[5,60],"for":[6,25,41,61,83],"honestly":[7],"n-variate":[8,90],"(n+2)-nomials":[9],"with":[10],"integer":[11],"exponents":[12],"and":[13],"coefficients)":[14],"can":[15],"be":[16],"done":[17],"in":[18,21,36,75,97],"time":[19],"polynomial":[20],"the":[22,37,55,85],"sparse":[23,38],"encoding":[24],"any":[26],"fixed":[27],"nn.":[28],"The":[29],"best":[30],"previous":[31],"complexity":[32,56,81],"bounds":[33],"were":[34],"exponential":[35],"encoding,":[39],"even":[40],"n":[42,69],"fixed.":[43],"then":[45],"give":[46],"a":[47,79,102],"characterization":[48],"of":[49,57,87,89],"those":[50],"functions":[51],"k(n)":[52],"such":[53],"n-variate(n+k(n))-nomials":[62],"transitions":[63],"from":[64,78],"P":[65],"to":[66],"NP-hardness":[67],"as":[68,101],"\u2192":[70],"\u221e.":[71],"Our":[72],"proofs":[73],"follow":[74],"large":[76],"part":[77],"new":[80],"threshold":[82],"deciding":[84],"vanishing":[86],"A-discriminants":[88],"(n+k(n))-nomials.":[91],"Diophantine":[92],"approximation,":[93],"through":[94],"linear":[95],"forms":[96],"logarithms,":[98],"also":[99],"arises":[100],"key":[103],"tool.":[104]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2080881761","counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2024-11-20T18:21:19.173580","created_date":"2016-06-24"}