{"id":"W2091142882","doi":"10.5539/mas.v2n4p63","title":"The Application of the Vector Space Theory to the Limit of Number Sequence","year":2008,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Simulation and Modeling Applications","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Limit (mathematics); Sequence (biology); Space (punctuation); Vector space; Order (exchange); Algebra over a field; Sequence space; Computer science; Mathematics; Vector (molecular biology); Calculus (dental); Pure mathematics; Mathematical analysis; Biology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001678446,0.0005021904,0.0007921684,0.002646643,0.001127887,0.002400895,0.0006817328,0.0007693956,0.003182621],"category_scores_gemma":[0.006898835,0.0002611659,0.001071506,0.001733753,0.003328315,0.005253793,0.001569353,0.002233746,0.0004572723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001339513,"about_ca_system_score_gemma":0.0009166189,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001270198,"about_ca_topic_score_gemma":0.0006007971,"domain_scores_codex":[0.9989981,0.0004114656,0.00008087416,0.0001643846,0.0002644478,0.00008066165],"domain_scores_gemma":[0.998292,0.000784489,0.0001540236,0.0001389743,0.0004808909,0.000149628],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007951709,0.000005872366,0.0001415456,0.00006108954,0.000009672731,0.00005313366,0.0001592133,0.001736014,0.000483712,0.9919237,0.0004241573,0.00499393],"study_design_scores_gemma":[0.000005916829,0.00003342535,0.0002096071,0.00004016853,0.000008111423,0.0001775286,0.00006075271,0.01963396,0.0003880986,0.9711285,0.008298124,0.00001589323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0720558,0.01870618,0.8042089,0.003650589,0.00193058,0.00005633965,0.0001220926,0.000187707,0.09908178],"genre_scores_gemma":[0.8048557,0.01372681,0.1521762,0.00079437,0.002316398,0.0001653406,0.0001449065,0.0002056577,0.02561448],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003182621,"threshold_uncertainty_score":0.01064694,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02469719738138398,"score_gpt":0.2558753408011237,"score_spread":0.2311781434197397,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}