{"id":"W110328050","doi":"","title":"On Deuber's partition theorem for (m, p, c)-sets.","year":2002,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Partition (number theory); Van der Waerden's theorem; Combinatorics; Conjecture; Discrete mathematics; Graph","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002679037,0.0001561989,0.0001886172,0.0000576088,0.0002766269,0.00002770735,0.0001902631,0.0001076316,0.000360878],"category_scores_gemma":[0.000405265,0.0001272237,0.0001279271,0.00009541551,0.00006995193,0.00006685391,0.00003858359,0.0001229503,0.00003831638],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003220938,"about_ca_system_score_gemma":0.000003520846,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.444077e-7,"about_ca_topic_score_gemma":7.582393e-7,"domain_scores_codex":[0.9990763,0.00006178895,0.0002073468,0.0002144146,0.0001802119,0.0002599016],"domain_scores_gemma":[0.9985892,0.000794279,0.0000865704,0.0004039845,0.00005799637,0.00006801068],"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":[0.00002804932,0.0001182216,0.00004500934,0.00002628058,0.00003098815,0.000002133194,0.0006105343,0.000001150499,0.00001933503,0.9664699,0.0314229,0.001225474],"study_design_scores_gemma":[0.0008592709,0.0001921937,0.00006149298,0.00002430736,0.00002955014,0.000003608701,0.0000359091,0.0003170137,0.0009486506,0.9948321,0.002528056,0.0001678399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9633634,0.00007372893,0.00007502072,0.0002212426,0.002161797,0.0004119107,0.00001723963,0.0001494822,0.03352615],"genre_scores_gemma":[0.9982328,0.00001154745,0.0008214472,0.0002864701,0.00001420326,0.00006127443,0.000004892151,0.00003461239,0.0005327869],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03486934,"threshold_uncertainty_score":0.5188034,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03291995970433916,"score_gpt":0.2787629024567095,"score_spread":0.2458429427523703,"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."}}