{"id":"W1570379142","doi":"10.1155/imrn.2005.3459","title":"","year":2005,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Finitely-generated abelian group; Pure mathematics; Combinatorics; Class (philosophy); Constant (computer programming); Sequence (biology); Local ring; Construct (python library); Discrete mathematics; Ring (chemistry)","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005764444,0.0004183135,0.0005787169,0.0007947069,0.0008305091,0.001210155,0.0009041633,0.0005284822,0.005579195],"category_scores_gemma":[0.001705572,0.0002045262,0.0004573683,0.0003866735,0.001404498,0.002691898,0.001644143,0.0009727977,0.00116084],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000480013,"about_ca_system_score_gemma":0.0003214405,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003937024,"about_ca_topic_score_gemma":0.0004209029,"domain_scores_codex":[0.9996594,0.00004530861,0.0000140871,0.0001138835,0.00007578464,0.00009154319],"domain_scores_gemma":[0.9988827,0.0002264767,0.0001749514,0.0002917002,0.0001351582,0.000289007],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001451304,0.0001095832,0.005199012,0.0002234723,0.00005421829,0.0005757958,0.0003581439,0.006754586,0.01423378,0.9379569,0.002468088,0.0319213],"study_design_scores_gemma":[0.0001134748,0.0005024401,0.008371187,0.0001046484,0.0001167026,0.004132219,0.0004643046,0.06906094,0.04254746,0.823225,0.05124978,0.0001118413],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.7149099,0.001328133,0.2148917,0.0008780045,0.00007740293,0.00007626085,0.0004272487,0.0007630593,0.06664828],"genre_scores_gemma":[0.9562802,0.000331432,0.03227723,0.0001452572,0.00005327456,0.00004051921,0.000436493,0.00004758989,0.01038809],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.9944208,"threshold_uncertainty_score":0,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2234835906950121,"score_gpt":0.4834833780304383,"score_spread":0.2599997873354262,"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."}}