{"id":"W1809572497","doi":"10.1090/crmp/029/27","title":"Blending two discrete integrability criteria: Singularity confinement and algebraic entropy","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Algebraic number; Singularity; Mathematics; Entropy (arrow of time); Pure mathematics; Applied mathematics; Physics; Mathematical analysis; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000206147,0.0007271438,0.0007594151,0.0001225106,0.0003284332,0.0003811073,0.0002346293,0.0002570969,0.002673524],"category_scores_gemma":[0.00004366567,0.0006277686,0.0002914701,0.00005395447,0.0002519294,0.0001294538,0.0002080556,0.0009746682,0.00002214742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007743017,"about_ca_system_score_gemma":0.00007528324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001554427,"about_ca_topic_score_gemma":0.00001042185,"domain_scores_codex":[0.9978119,0.00000808973,0.0004893938,0.0008703166,0.0002847262,0.0005356491],"domain_scores_gemma":[0.9988897,0.00009970542,0.0003146811,0.0002318885,0.0002360592,0.0002279048],"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":[0.00003752806,0.00003356443,0.002926935,0.0001393741,0.0002378758,0.000004323581,0.0006004345,4.498233e-7,0.001632462,0.982574,0.0001133372,0.01169968],"study_design_scores_gemma":[0.0005839159,0.000121997,0.0001162593,0.0003764788,0.0003306647,0.000009518727,0.00007369537,0.0001761206,0.002291525,0.8864278,0.1086872,0.0008048538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.02283803,0.0007760527,0.005717244,0.001653766,0.0005191079,0.0009459691,0.0003500906,0.000162633,0.9670371],"genre_scores_gemma":[0.9936757,0.00003863525,0.0005018993,0.0001618078,0.002695731,0.00001871346,0.0002431497,0.0001079589,0.002556412],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9708377,"threshold_uncertainty_score":0.9996173,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0130639789489626,"score_gpt":0.269918677593961,"score_spread":0.2568546986449984,"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."}}