{"id":"W4388469858","doi":"10.1137/1.9781611977509.appc","title":"APPENDIX C: BINOMIALS, FACTORIALS, AND OTHER COMBINATORIAL THINGS","year":2023,"lang":"en","type":"other","venue":"","topic":"Computational Physics and Python Applications","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Python (programming language); Combinatorics; Mathematics; Computer science; Arithmetic; Discrete mathematics; Programming language","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007826169,0.001369708,0.0009391163,0.001925696,0.001084453,0.002267305,0.00129036,0.0009020864,0.7375652],"category_scores_gemma":[0.01476303,0.000587354,0.0007672898,0.002794617,0.0006578311,0.003517893,0.001552466,0.00213037,0.3949693],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001739069,"about_ca_system_score_gemma":0.002078452,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00534642,"about_ca_topic_score_gemma":0.005942007,"domain_scores_codex":[0.9991247,0.0001528753,0.00006229364,0.0001222205,0.0004689982,0.00006887771],"domain_scores_gemma":[0.9940158,0.00235361,0.0001763309,0.0006890913,0.002471489,0.0002937236],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001277272,0.00001494641,0.00009927659,0.0001515038,0.000002404546,0.00003286417,0.00002744995,0.0002524479,0.00006397063,0.0257998,0.9561863,0.01735627],"study_design_scores_gemma":[0.00001444135,0.000006297698,0.0003033304,0.0001102325,0.000002734339,0.0001525892,0.00002737743,0.0005947865,0.0001926003,0.04009236,0.9584871,0.00001609114],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00103418,0.001052524,0.06833065,0.004739051,0.00515032,0.0003220842,0.1520125,0.01333313,0.7540255],"genre_scores_gemma":[0.03103365,0.002875337,0.08610597,0.004369076,0.002816217,0.001091379,0.1509427,0.02726494,0.6935008],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2624348,"threshold_uncertainty_score":0.3743314,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01869985037119228,"score_gpt":0.2628285055466595,"score_spread":0.2441286551754673,"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."}}