{"id":"W2579393861","doi":"","title":"A Combinatorial Identity And Its Related Conjecture.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Conjecture; Identity (music); Combinatorics; Pure mathematics; Aesthetics","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":[0.001230378,0.0004298712,0.0007327261,0.001312223,0.002687656,0.003450564,0.0015345,0.002520111,0.02340601],"category_scores_gemma":[0.009626989,0.0003872379,0.0008077525,0.001689711,0.004558976,0.009006735,0.003422842,0.003762766,0.003484873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00124202,"about_ca_system_score_gemma":0.0008431624,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00123536,"about_ca_topic_score_gemma":0.0008367925,"domain_scores_codex":[0.9985963,0.0003649342,0.00006162788,0.0003682573,0.0003958714,0.0002131222],"domain_scores_gemma":[0.9942432,0.003257883,0.0004143023,0.001017464,0.0006506928,0.0004163366],"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":[0.00001744897,0.00002292115,0.0001843853,0.00003055925,0.000002778131,0.00005445272,0.0001121186,0.0002677549,0.0001206423,0.9881314,0.007303227,0.003752253],"study_design_scores_gemma":[0.00000805555,0.000009145194,0.0001338778,0.00001623586,0.00000394047,0.0001300081,0.00009096315,0.001587486,0.0001274229,0.9902362,0.007651036,0.000005737431],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1229941,0.003663916,0.2047201,0.0313652,0.004216667,0.0001157333,0.001080773,0.0005816639,0.6312618],"genre_scores_gemma":[0.8935182,0.002058306,0.02601732,0.005868668,0.00271402,0.0001557403,0.000989826,0.000239647,0.06843821],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02340601,"threshold_uncertainty_score":0.07830089,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007059196975863847,"score_gpt":0.2032472493918903,"score_spread":0.1961880524160265,"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."}}