{"id":"W58592454","doi":"","title":"On Zero Sum Subsequences of Restricted Size III.","year":2001,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Zero (linguistics); Combinatorics; Linguistics","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":[0.000801286,0.0005462486,0.0007034457,0.001740399,0.001642111,0.001821179,0.0008778308,0.0009522884,0.009121594],"category_scores_gemma":[0.005771333,0.0003572842,0.0008220373,0.001061491,0.00231133,0.005203824,0.002790226,0.002261639,0.001715169],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009026346,"about_ca_system_score_gemma":0.0004328738,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007507381,"about_ca_topic_score_gemma":0.0008410704,"domain_scores_codex":[0.9993843,0.0001422673,0.0000450682,0.000108888,0.0001815447,0.0001378957],"domain_scores_gemma":[0.9977319,0.001079792,0.0002689855,0.0003437003,0.0002877659,0.0002877898],"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":[0.00005355133,0.00002037268,0.0004220613,0.00005052332,0.0000123016,0.0002080744,0.0002630718,0.0006930496,0.001419634,0.9870098,0.002421685,0.007425937],"study_design_scores_gemma":[0.000007410693,0.00001863418,0.0002967359,0.0000293986,0.000008324283,0.0002003091,0.0001116639,0.00295593,0.0007485588,0.9922267,0.003386745,0.000009618719],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4327858,0.004503097,0.2564237,0.003044234,0.001811464,0.00008100876,0.0006301975,0.0008641483,0.2998564],"genre_scores_gemma":[0.9036772,0.001236159,0.02674337,0.0008795573,0.0006340116,0.0001076054,0.0006362529,0.0004868454,0.06559902],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009121594,"threshold_uncertainty_score":0.03051478,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03248731648268557,"score_gpt":0.3091400473143171,"score_spread":0.2766527308316316,"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."}}