{"id":"W1993435502","doi":"10.1007/s00605-004-0288-6","title":"On the Mean Value of the Index of Composition of an Integer","year":2005,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Lambda; Integer (computer science); Combinatorics; Composition (language); Mathematics; Value (mathematics); Physics; Statistics; Computer science; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007284658,0.0008269992,0.001576749,0.002515971,0.001360828,0.004597212,0.002632009,0.001985009,0.004876961],"category_scores_gemma":[0.04749828,0.0007455557,0.0009149174,0.001678664,0.005027488,0.008311242,0.002505533,0.002976054,0.0007804099],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00234921,"about_ca_system_score_gemma":0.001559652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000565553,"about_ca_topic_score_gemma":0.0005750445,"domain_scores_codex":[0.9970946,0.001003174,0.0001531414,0.0006768648,0.0007176079,0.0003546961],"domain_scores_gemma":[0.965654,0.0243053,0.002568705,0.00242551,0.002768303,0.002278217],"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":[0.0005625453,0.00009465201,0.003740448,0.0002151495,0.00008238313,0.0001871529,0.0003592138,0.03795386,0.007822894,0.9218155,0.002613783,0.02455251],"study_design_scores_gemma":[0.00002704951,0.000125398,0.001752888,0.00009349945,0.00005117829,0.0003248699,0.0001519639,0.3497669,0.004985454,0.6400077,0.002640757,0.00007239493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3060715,0.002195371,0.6684067,0.001885282,0.0006598811,0.00005149641,0.0002832583,0.0005764748,0.01987003],"genre_scores_gemma":[0.8730214,0.001332555,0.114735,0.0003528657,0.0008536644,0.0001470218,0.0004228386,0.0006850305,0.008449405],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007284658,"threshold_uncertainty_score":0.0385254,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02600373576999143,"score_gpt":0.3312251067373609,"score_spread":0.3052213709673695,"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."}}