{"id":"W41832373","doi":"","title":"Lah Matrix and Its Algebraic Properties.","year":2004,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Algebraic number; Matrix (chemical analysis); Pure mathematics; Algebra over a field; Mathematical analysis; Materials science; Composite material","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":[0.000429259,0.0002913806,0.0004120818,0.001565257,0.001166275,0.002403891,0.0006144959,0.0005973211,0.02239312],"category_scores_gemma":[0.002894732,0.0002254503,0.0003366524,0.001163453,0.001894842,0.003228787,0.001270225,0.001671685,0.006563229],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007253686,"about_ca_system_score_gemma":0.000580696,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001125069,"about_ca_topic_score_gemma":0.001174976,"domain_scores_codex":[0.9995162,0.0001013488,0.00002143912,0.00008919134,0.0001792718,0.00009247381],"domain_scores_gemma":[0.9986742,0.0003411493,0.0002231291,0.0001794207,0.0003593864,0.0002227273],"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":[0.0000276654,0.00001764435,0.0001747939,0.00003256575,0.00000482765,0.00007179159,0.0001061283,0.0002892167,0.0009059142,0.9860018,0.005017098,0.007350411],"study_design_scores_gemma":[0.00001204871,0.00002146731,0.0002616521,0.00001103597,0.000004863385,0.0002858756,0.00008853242,0.003529931,0.0008951513,0.9788552,0.01601903,0.00001518221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.185711,0.006982294,0.2964593,0.007126788,0.001303475,0.000163168,0.002609713,0.00132603,0.4983183],"genre_scores_gemma":[0.874843,0.00178578,0.03531794,0.001197472,0.001371548,0.000116791,0.001188175,0.0002182884,0.08396109],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02239312,"threshold_uncertainty_score":0.07491243,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01425282381807898,"score_gpt":0.2326254931632552,"score_spread":0.2183726693451762,"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."}}