{"id":"W4403206334","doi":"10.1080/00150517.2010.12428134","title":"Thomas Koshy’s Catalan Numbers with Applications (Book Review)","year":2010,"lang":"en","type":"article","venue":"The Fibonacci quarterly","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Catalan; Catalan number; Mathematics; Combinatorics; Art; Humanities","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003612409,0.0003058425,0.0004150204,0.0000478975,0.0002670427,0.00007868635,0.0006354341,0.00009214304,0.0005723296],"category_scores_gemma":[0.00004186271,0.0001984386,0.0001325087,0.0002320134,0.0002801088,0.0002901551,0.00003938354,0.0004982985,0.0008781679],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003263386,"about_ca_system_score_gemma":0.00006243063,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002204114,"about_ca_topic_score_gemma":0.0009731925,"domain_scores_codex":[0.9982157,0.00005752367,0.000497408,0.00036632,0.000450006,0.0004129784],"domain_scores_gemma":[0.9973975,0.0006054365,0.0002708327,0.001426485,0.0001498516,0.0001499174],"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":[0.00004031719,0.0005032363,0.00008238079,0.002634877,0.0001883478,0.0000260956,0.00321169,5.587527e-7,0.00132042,0.5532826,0.4326906,0.006018836],"study_design_scores_gemma":[0.0003790754,0.0001997004,0.0000540693,0.0003561372,0.0002176546,0.0002031969,0.0006541692,0.00002874548,0.0001139584,0.5493381,0.448,0.0004552326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.01929992,0.03124531,0.2716341,0.02027066,0.001709455,0.02243716,0.0004169552,0.004761065,0.6282254],"genre_scores_gemma":[0.1567725,0.0017189,0.1989299,0.01376408,0.002957899,0.01250877,0.0003226421,0.001154217,0.6118711],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1374726,"threshold_uncertainty_score":0.9998997,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01375767906200856,"score_gpt":0.292260692068302,"score_spread":0.2785030130062934,"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."}}