{"id":"W2032396440","doi":"10.1007/s10474-006-0054-4","title":"A remark on product partition","year":2006,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Partition (number theory); Mathematical economics; Combinatorics","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":[],"consensus_categories":[],"category_scores_codex":[0.001170803,0.0007444889,0.001401532,0.002315699,0.003476806,0.003342373,0.001089692,0.001280874,0.02556401],"category_scores_gemma":[0.002529056,0.00052518,0.001281724,0.002563924,0.004077894,0.007714113,0.004431074,0.004893389,0.003292662],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001386315,"about_ca_system_score_gemma":0.0005522075,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001299483,"about_ca_topic_score_gemma":0.0007281,"domain_scores_codex":[0.9989833,0.0002259998,0.00004954502,0.0003117034,0.0002283235,0.0002010866],"domain_scores_gemma":[0.9989703,0.0004222468,0.00005755376,0.0002097012,0.0002155912,0.0001247364],"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":[0.00001849511,0.000004930433,0.00005282457,0.00003028436,0.000005159618,0.00002880316,0.0001396639,0.00003183626,0.0001321919,0.9943962,0.003073013,0.002086596],"study_design_scores_gemma":[0.00001556861,0.00001222927,0.0002891115,0.00001524049,0.00001375293,0.0002265627,0.000101497,0.0002985365,0.000251034,0.971027,0.02774045,0.000009009349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0912155,0.006835655,0.1098128,0.02050149,0.006735465,0.00008912199,0.001264827,0.0006332332,0.7629119],"genre_scores_gemma":[0.8112887,0.003902827,0.02851403,0.006817318,0.00361875,0.0002779703,0.0009785909,0.0007867047,0.1438152],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02556401,"threshold_uncertainty_score":0.08552015,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0383441169543406,"score_gpt":0.3052510263349412,"score_spread":0.2669069093806006,"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."}}