{"id":"W2055848042","doi":"10.1007/s00013-007-1928-6","title":"On the index of composition of integers from various sets","year":2007,"lang":"en","type":"article","venue":"Archiv der Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta; Université Laval","funders":"","keywords":"Mathematics; Composition (language); Integer (computer science); Combinatorics; Polynomial; Index (typography); Distribution (mathematics); Function (biology); Discrete mathematics; Mathematical analysis","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":[0.003901105,0.0008745289,0.001234644,0.004278379,0.00300318,0.007568317,0.001974869,0.001573239,0.005902865],"category_scores_gemma":[0.01882957,0.000600387,0.0008053915,0.002682464,0.005417154,0.01315279,0.003899589,0.003251399,0.001022934],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002502718,"about_ca_system_score_gemma":0.0009350601,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006001159,"about_ca_topic_score_gemma":0.0005388747,"domain_scores_codex":[0.9976692,0.0005825831,0.000191856,0.0003588581,0.000823911,0.0003735488],"domain_scores_gemma":[0.9885914,0.00649879,0.001369748,0.0009561969,0.001284472,0.001299407],"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":[0.0002709518,0.00002847044,0.0009987404,0.0000461934,0.000008549403,0.0001253639,0.0004320259,0.000726579,0.001998345,0.9862953,0.0009015111,0.008168045],"study_design_scores_gemma":[0.00003349068,0.00005582096,0.001009394,0.00007336337,0.00003609916,0.0004079457,0.0003873002,0.01270854,0.005319687,0.9744174,0.005514609,0.00003616519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6325852,0.002101864,0.2026719,0.002520018,0.001181569,0.0001034839,0.0004524499,0.0006298729,0.1577536],"genre_scores_gemma":[0.9264268,0.001216696,0.05396826,0.0003996067,0.0008738915,0.0001250022,0.0005383915,0.0004728375,0.01597841],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007568317,"threshold_uncertainty_score":0.02063125,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04439309968672406,"score_gpt":0.3354529136130409,"score_spread":0.2910598139263169,"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."}}