{"id":"W1600157163","doi":"","title":"On Some Problems of A.K. Agarwal.","year":2006,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Arithmetic; Calculus (dental); Orthodontics; Medicine","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001790687,0.0001498772,0.000308941,0.00007715757,0.0000468669,0.00001641795,0.0001981548,0.0000707927,0.00007720908],"category_scores_gemma":[0.0003499666,0.0001352959,0.00008733836,0.0001265718,0.00009530823,0.0001552289,0.00006055279,0.0001201576,0.00009062715],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004565538,"about_ca_system_score_gemma":0.0000162003,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001498418,"about_ca_topic_score_gemma":0.000004128337,"domain_scores_codex":[0.9988311,0.00003083651,0.0004003783,0.0001709254,0.0003388161,0.0002279487],"domain_scores_gemma":[0.9986903,0.000608125,0.0001853028,0.0003958253,0.00008111674,0.00003931004],"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":[0.000005110735,0.0003944408,0.0000349228,0.0002344411,0.00001302784,0.000003531032,0.00006245694,0.00001552634,0.0007192234,0.9909117,0.007586114,0.00001953741],"study_design_scores_gemma":[0.0005116432,0.00009910368,0.00006640779,0.0001429979,0.00001980196,0.000001827462,0.00002235616,0.00003855245,0.009419096,0.9893883,0.0001523925,0.0001375095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9508152,0.0001098568,0.000156534,0.00009631343,0.0006059064,0.0003541667,0.000005926775,0.0001744968,0.04768161],"genre_scores_gemma":[0.9924075,0.00000592527,0.002342728,0.00001936926,0.000009097914,0.00002890793,0.000002784766,0.00003919539,0.00514448],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04253713,"threshold_uncertainty_score":0.5517206,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02145651160376127,"score_gpt":0.2766471135973599,"score_spread":0.2551906019935987,"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."}}