{"id":"W2546599874","doi":"10.12775/tmna.2001.039","title":"Recursive coboundary formula for cycles in acyclic chain complexes","year":2001,"lang":"en","type":"article","venue":"Topological Methods in Nonlinear Analysis","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homomorphism; Mathematics; Chain (unit); Algebraic number; Homology (biology); Computation; Algebraic structure; Nonlinear system; Discrete mathematics; Algebra over a field; Pure mathematics; Algorithm","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005867061,0.0004623292,0.000605241,0.002291039,0.001046195,0.002701906,0.001142576,0.001330961,0.009540807],"category_scores_gemma":[0.003497138,0.0003422946,0.0005645386,0.001007267,0.002028803,0.004465668,0.002061033,0.001668519,0.001047263],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001484812,"about_ca_system_score_gemma":0.0004087599,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001285111,"about_ca_topic_score_gemma":0.001636452,"domain_scores_codex":[0.9995897,0.00006168496,0.00002780598,0.0001009568,0.0001320095,0.00008782465],"domain_scores_gemma":[0.9992962,0.0003278291,0.00006501154,0.00006700145,0.000133718,0.0001102173],"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":[0.0000114919,0.00001144718,0.0002745365,0.00003493577,0.000002333065,0.0001067685,0.0002141896,0.0006830404,0.0009318079,0.9907964,0.0005449068,0.006387962],"study_design_scores_gemma":[0.00001033584,0.00001365789,0.0003459376,0.0000235804,0.000008199685,0.0001838984,0.0001297422,0.01846398,0.001530549,0.9742631,0.005010621,0.0000163744],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4636372,0.002219393,0.3849915,0.001335322,0.0002841549,0.0001789264,0.0003759336,0.0006748801,0.1463026],"genre_scores_gemma":[0.9371616,0.0006068071,0.04640011,0.000269652,0.0001381469,0.0001299364,0.000330568,0.0001891007,0.01477396],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009540807,"threshold_uncertainty_score":0.03191715,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06724515990375672,"score_gpt":0.4264132193291987,"score_spread":0.359168059425442,"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."}}